Input: 0.056681484 0.008306546 0.0061628544 0.0056595528 0.0057589705 0.0049625942 0.0041993572 0.005425507 0.005045442 0.0056419475 0.0037436932 0.004473791 0.004952238 0.0031710065 0.004321558 0.004639487 0.0050392286 0.0037706187 0.004929455 0.004160004 0.004355733 0.0031761846 0.004113402 0.0038472533 0.0050702966 0.003346023 0.0031637573 0.0029359253 0.004157933 0.0034412981 0.0037851173 0.0037913308 0.00617321 0.0038275768 0.0034785797 0.0030343074 0.00489528 0.0041672536 0.0038379328 0.0037240167 0.0047264774 0.003891784 0.0033294533 0.0030985146 0.0043691956 0.0037240167 0.0037198744 0.0035769616 0.0055228537 0.0039414926 0.0031078348 0.002905893 0.0036774147 0.0030653754 0.0026873813 0.0028717183 0.0041672536 0.0033139193 0.0035262173 0.0033553434 0.0040005217 0.0032155374 0.0035075764 0.0034557965 0.0065998775 0.0039549554 0.003620457 0.0032238222 0.0041548265 0.0032248576 0.0035490005 0.0030612329 0.0050050537 0.0037820104 0.0036960556 0.0035883533 0.0041237585 0.0031223334 0.0035624632 0.0034557965 0.0051666074 0.0036287417 0.0036525605 0.003337738 0.0039259586 0.0033760553 0.0033636282 0.0035365731 0.004649843 0.0036504893 0.0038047936 0.0035044698 0.0041051176 0.0033884824 0.003679486 0.003788224 0.005907061 0.003627706 0.0033398094 0.0029607797 0.004007771 0.0030519126 0.0032559256 0.0030280938 0.004970879 0.003164793 0.0031989678 0.0030467345 0.003573855 0.0028302942 0.0030891942 0.003195861 0.004515215 0.003299421 0.0032258932 0.0031368318 0.003886606 0.003325311 0.0032921718 0.003622528 0.0046229176 0.0032942428 0.0034847932 0.003180327 0.0040346966 0.003195861 0.0034734018 0.003342916 0.0086441515 0.004598063 0.0040036286 0.0035200038 0.0043640174 0.0034330133 0.003019809 0.0033853757 0.0045400695 0.0038306837 0.0029566374 0.003190683 0.0037291949 0.0028012975 0.0028458282 0.0029845985 0.0052287434 0.0032072526 0.003498256 0.0030229157 0.003660845 0.0031855048 0.0033035632 0.0032579969 0.004539034 0.002835472 0.0030394853 0.0027101645 0.00351379 0.0032310714 0.0029866698 0.003149259 0.005012303 0.0034091945 0.0032693886 0.0028054398 0.0037737256 0.0030053107 0.0030601975 0.003180327 0.0041341144 0.0030001325 0.0031212978 0.003006346 0.003645311 0.0028396146 0.0029203913 0.0030332718 0.0046643415 0.0031109417 0.0038410395 0.00285722 0.0035686768 0.003149259 0.002990812 0.0031233688 0.004246995 0.003146152 0.0033439517 0.003180327 0.0036473824 0.003190683 0.0033335956 0.0033449873 0.006713793 0.00405748 0.0037219457 0.0033367025 0.0041206516 0.0032631748 0.0033025276 0.0032300358 0.004330878 0.003330489 0.003118191 0.003094372 0.0036463467 0.0029835629 0.0030767669 0.002797155 0.004251137 0.0032756021 0.003097479 0.002993919 0.003715732 0.0030322361 0.0029359253 0.002942139 0.003977739 0.0031119774 0.0027288054 0.0026356014 0.003529324 0.002947317 0.0035769616 0.0028872523 0.004955345 0.0032310714 0.003399874 0.0029773493 0.0038058292 0.0030726246 0.003195861 0.0029121067 0.0044406517 0.005451397 0.0034723661 0.0031378674 0.0037996157 0.0030912654 0.0032476408 0.003195861 0.0046146326 0.0033190972 0.0034226573 0.003037414 0.003736444 0.003081945 0.003314955 0.0032507477 0.0043484834 0.0030343074 0.0032041457 0.002872754 0.0040160557 0.0030902298 0.004225247 0.004515215 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 0.099233694 0.062032994 0.062451743 0.055327818 0.06058527 0.059541773 0.05491841 0.05448098 0.06044102 0.053158313 0.0521117 0.05294764 0.05643255 0.050549824 0.0566811 0.053844813 4023.0 5.7042007 22948.0 0.017169252 0.010414851 0.009325432 0.008584626 0.013552379 0.012550114 0.011809308 0.01150427 0.012506536 0.009761199 0.008453895 0.008628203 0.013900993 0.010502005 0.011809308 0.009979083 0.01677706 0.011896461 0.008715357 0.0075387834 0.009804776 0.008541049 0.0078002443 0.008323166 0.010240544 0.008497473 0.009630469 0.008846086 0.01150427 0.008933241 0.009674045 0.009238278 0.018084364 0.010937773 0.010327698 0.009107548 0.010894195 0.008846086 0.010763465 0.008279589 0.0142931845 0.011591424 0.009717623 0.008933241 0.011417117 0.009325432 0.011678577 0.009630469 0.014816106 0.009586892 0.009979083 0.009020394 0.0120707685 0.009325432 0.009586892 0.0098483525 0.013726686 0.009281855 0.010545582 0.0095433155 0.011155657 0.0098483525 0.010371274 0.010676311 0.017910058 0.010981349 0.009674045 0.008192435 0.013116611 0.0082360115 0.009369008 0.008323166 0.015426181 0.009281855 0.008889664 0.00867178 0.011329964 0.008061705 0.00989193 0.00784382 0.013160189 0.008061705 0.008715357 0.00880251 0.01137354 0.009369008 0.008148858 0.00784382 0.010981349 0.008889664 0.012027192 0.00867178 0.011329964 0.009020394 0.01002266 0.008758933 6.5544395 0.0 0.0 0.0 14.0 965624.0 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: 0.008995464 0.0041426164 0.003973057 0.003901274 0.003955061 0.0038550848 0.0038804787 0.004040241 0.0040556374 0.0038912762 0.0038908762 0.0039484627 0.0038934757 0.0039308667 0.0038566843 0.0041334187 0.0038476866 0.003853885 0.0038736805 0.003892276 0.0038640827 0.0038888769 0.0038586839 0.0038656823 0.0038130947 0.0038524854 0.0038430877 0.0038974748 0.0038398884 0.0039142706 0.0037793028 0.0038892766 0.00391727 0.0038430877 0.0038820785 0.0038226924 0.0038532852 0.0038690814 0.0038270915 0.0038700812 0.0038396884 0.0037905 0.0038314904 0.003846087 0.0038056965 0.0038534852 0.003896275 0.0038772796 0.0037807024 0.0038654823 0.0037881008 0.003965059 0.0038590839 0.0038520854 0.0038294909 0.0038848778 0.0038532852 0.0038906764 0.003850486 0.0040076487 0.0038694814 0.0039150706 0.0038604834 0.0039236685 0.0038016974 0.00383369 0.0038192933 0.0039106715 0.0038640827 0.003950662 0.0038652823 0.003863083 0.0039096717 0.0038806787 0.0038204931 0.003816694 0.003850086 0.003908872 0.0038468868 0.003879879 0.0039942516 0.003871481 0.00383309 0.003980055 0.0038528852 0.0039238683 0.003956061 0.003914871 0.003850086 0.003862483 0.003828491 0.003866282 0.0038240922 0.0038768796 0.0039032733 0.0038728805 0.0038232924 0.0038990744 0.0038732805 0.0038622832 0.0038856775 0.0039920523 0.0039314665 0.003842088 0.003934266 0.0039274674 0.0038880769 0.003908872 0.00391727 0.0038864773 0.0039742566 0.0039856536 0.0039186697 0.0038682816 0.003964659 0.0039282674 0.0040642354 0.0039834543 0.0038788791 0.0039190697 0.003842288 0.003911671 0.0038718807 0.0038892766 0.0038994742 0.0038966748 0.0038910762 0.0038734805 0.003980255 0.0038294909 0.0038810787 0.003947263 0.0038268915 0.0040244446 0.0038342897 0.0038776794 0.0037821021 0.0039548613 0.0038280913 0.0041176225 0.0038202931 0.0039330665 0.0038644825 0.0038294909 0.0038530852 0.0038898767 0.003828891 0.0038908762 0.0038770796 0.0038772796 0.0038002979 0.0038310904 0.0038324902 0.003942064 0.0038000979 0.0039032733 0.0039186697 0.0038976746 0.0038690814 0.0038986744 0.0038618832 0.0038480866 0.0038462868 0.003837289 0.0038512857 0.0038574843 0.0038674818 0.0038688816 0.0038016974 0.0038316904 0.003914071 0.0038350895 0.0038984744 0.0038232924 0.0039034733 0.0038612834 0.0038298909 0.0038530852 0.003841688 0.0038142945 0.0038466868 0.0038674818 0.0038788791 0.0038928757 0.0038954753 0.0038644825 0.0038726807 0.0038936757 0.0039372654 0.0038894766 0.0039250683 0.0038820785 0.0039014737 0.003866882 0.0038570843 0.0038672818 0.0038698814 0.0038692814 0.00383329 0.0038674818 0.0038316904 0.0038364893 0.0038204931 0.0038098956 0.004077032 0.003907672 0.0039124712 0.00383309 0.0038908762 0.003862483 0.00383349 0.0038980746 0.0038382888 0.0037996978 0.0038526854 0.0038102954 0.003854085 0.0038096956 0.0038448873 0.003887277 0.0038742803 0.003900674 0.0039820545 0.0039448636 0.0038610834 0.003828491 0.0038478866 0.0038762798 0.0039124712 0.0038886769 0.003887677 0.0038380888 0.0040198457 0.0038916762 0.003828491 0.0038882769 0.003950862 0.0038776794 0.0038696814 0.003930067 0.003908872 0.0038728805 0.0038650825 0.0038906764 0.0038880769 0.0038636827 0.003879879 0.00395906 0.003938065 0.0038896766 0.0038496861 0.003867082 0.0039230688 0.0038820785 0.0039964514 0.0046442975 0.0010231703 2.0003328e-07 1.0001664e-07 1.0001664e-07 1.0001664e-07 0.0 2.0003328e-07 0.0 0.0 1.0001664e-07 0.0 0.0 0.0 0.0 0.0 2.0003328e-07 0.0003929654 5.4008988e-06 1.2001997e-06 4.0006657e-07 7.001165e-07 5.000832e-07 1.2001997e-06 6.0009984e-07 1.2001997e-06 0.0 0.0 1.0001664e-07 2.6004327e-06 0.0 0.0 2.800466e-06 0.0013139186 1.6802796e-05 1.6602762e-05 1.2602097e-05 3.8006324e-06 5.4008988e-06 1.2302047e-05 5.9009817e-06 1.0901814e-05 5.4008988e-06 7.801298e-06 4.8007987e-06 6.6010984e-06 2.3003827e-06 0.0 8.701448e-06 0.00018433067 7.001165e-07 1.0001664e-07 3.1005159e-06 1.0001664e-07 3.0004992e-07 3.2005325e-06 2.0003328e-07 6.0009984e-07 0.0 1.0001664e-07 1.8002995e-06 2.3003827e-06 4.1006824e-06 2.500416e-06 1.400233e-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 0.0003203533 1.6002663e-06 1.2902147e-05 2.0003329e-06 1.1701947e-05 8.401398e-06 2.6404394e-05 1.430238e-05 2.1003495e-06 2.0003328e-07 6.0009984e-07 2.4003994e-06 1.3002164e-06 5.000832e-07 3.3005492e-06 1.6002663e-06 0.00014822466 2.3003827e-06 6.3010484e-06 7.101182e-06 1.8002995e-06 1.8002995e-06 2.0903479e-05 6.0009984e-06 1.0001664e-06 4.0006657e-07 3.0004992e-07 3.0004992e-07 7.001165e-07 2.1003495e-06 2.800466e-06 2.800466e-06 0.00091595243 7.101182e-06 0.00012192029 2.0403395e-05 3.2005326e-05 3.3805627e-05 0.00030495075 0.00016482743 1.1001831e-05 1.1001831e-06 1.400233e-06 4.1006824e-06 3.5005826e-06 1.5002496e-06 5.2008654e-06 9.901648e-06 0.0001256209 2.2003662e-06 1.0401731e-05 6.101015e-06 4.1006824e-06 4.1006824e-06 2.9404893e-05 1.1601931e-05 2.7004494e-06 4.0006657e-07 3.0004992e-07 5.000832e-07 1.5002496e-06 1.0001664e-07 5.000832e-07 5.300882e-06 0.00020003329 4.6007654e-06 9.801631e-06 6.701115e-06 5.870977e-05 2.9104844e-05 0.00017652937 8.781461e-05 3.2005325e-06 3.5005826e-06 6.6010984e-06 1.670278e-05 3.900649e-06 1.9003162e-06 2.2003662e-06 3.2005325e-06 0.00011211866 5.4008988e-06 6.701115e-06 8.301381e-06 5.700949e-06 3.900649e-06 9.601597e-06 9.7016145e-06 5.2008654e-06 6.3010484e-06 4.500749e-06 5.600932e-06 3.600599e-06 5.000832e-06 4.700782e-06 8.501414e-06 0.0001496249 6.801132e-06 7.001165e-06 5.000832e-06 3.1105177e-05 2.2603761e-05 8.2113664e-05 4.1506908e-05 6.3010484e-06 2.3003827e-06 7.701282e-06 2.7804626e-05 4.4007325e-06 3.2005325e-06 2.800466e-06 9.401564e-06 0.00016552754 1.8103012e-05 9.801631e-06 1.8403061e-05 2.680446e-05 3.1505242e-05 2.1103511e-05 1.8203029e-05 2.5004161e-05 4.500749e-06 6.401065e-06 5.8009655e-06 1.760293e-05 5.9009817e-06 1.0001664e-05 2.5004161e-05 0.0016385727 0.0003347557 0.00014262373 0.0002627437 0.00029244868 0.0005075845 0.00026254368 0.00032875472 0.0007989329 5.180862e-05 6.55109e-05 0.00017402896 0.0005191864 0.00015972658 0.00030915145 0.00091115164 0.00023533916 5.5309203e-05 2.740456e-05 4.3407224e-05 4.3907305e-05 7.301215e-05 3.4205692e-05 4.4007324e-05 0.00011541921 7.101182e-06 1.3302213e-05 2.950491e-05 9.031503e-05 2.9604926e-05 4.9608254e-05 0.00013272208 0.061349407 0.0613132 0.061258394 0.061602652 0.061311204 0.061497133 0.06154614 0.061872397 0.06135621 0.061829988 0.06159965 0.06171477 0.0613062 0.06167586 0.061808985 0.062004916 23524.0 5.7190104 134534.0 0.009833945 0.010175866 0.010250197 0.009767048 0.00970015 0.010250197 0.009930575 0.010161 0.009848812 0.010302229 0.010369126 0.010235331 0.009938008 0.010569818 0.010554953 0.0103245275 0.009767048 0.010004906 0.01006437 0.0106144175 0.010183299 0.010413724 0.009997473 0.010027205 0.009781914 0.009848812 0.010131268 0.010004906 0.010279929 0.009804213 0.0099157095 0.009833945 0.009833945 0.010703614 0.00989341 0.010294795 0.009848812 0.01062185 0.010651583 0.010725914 0.010711047 0.010309662 0.010436024 0.010777945 0.010592118 0.010748212 0.010213031 0.010317095 0.01008667 0.010606984 0.010666449 0.011223928 0.010763079 0.0104954885 0.010904307 0.010681314 0.010205599 0.010123835 0.010302229 0.009767048 0.010019772 0.010376559 0.010465756 0.010108969 0.010517787 0.011216495 0.009781914 0.011298259 0.010971204 0.0133497855 0.010391425 0.010079237 0.010948905 0.011766543 0.010510354 0.010220464 0.011201629 0.010287362 0.011617881 0.0113725895 0.010398858 0.009729883 0.012115897 0.0113131255 0.012353755 0.010919173 0.010101535 0.0106144175 0.010376559 0.010131268 0.010116402 0.009789347 0.010554953 0.010042071 0.009856245 0.009692717 6.5826144 0.0 0.0 0.0 78.0 5001187.0 12222464.0 1.0 0.0 153.0 0.0 1.0 0.0 0.0 0.0 1154636800.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 6.0 0.0 8.0 0.0 6.0 0.0 5.0 1.0 43520.0 1024.0 4096.0 4.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -3584.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1536.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -43520.0 0.0 12155392.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.586275 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.5172033 0.0 7.997907 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3088.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -8800.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -43304.0 0.0 12156928.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 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 -2.0 -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 -2.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 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 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -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 -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 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 -2.0 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 -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 1.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 2.0 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 -1.0 0.0 0.0 0.0 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 -1.0 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 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 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 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 2.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 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 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 160.0 43860.0 12154912.0 61440.0 0.0 0.0 6984.0 12205056.0 2088.0 12218368.0 28.0 4768.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 5872.0 0.0 0.0 640.0 4096.0 0.0 0.0 0.0 0.0


Input: 0.13000058 0.003167034 0.0031887756 0.003174281 0.0038011654 0.0031960227 0.0032068936 0.003174281 0.0031416686 0.003275742 0.0032540006 0.0032938602 0.0064645177 0.004728809 0.0048266468 0.0063775512 0.003174281 0.0030800672 0.0030474549 0.0032938602 0.0030945616 0.003174281 0.003109056 0.0033156017 0.0030220896 0.0030655728 0.0032938602 0.003268495 0.0030800672 0.0032286353 0.0035112766 0.0032503768 0.0031634104 0.0032068936 0.0031235504 0.0031597866 0.006196371 0.0033445908 0.0032250115 0.003138045 0.0033663323 0.0031235504 0.0031525395 0.0033445908 0.0030329602 0.0031960227 0.0032177644 0.0034279337 0.0032793658 0.003138045 0.0034641698 0.0033916975 0.00333372 0.0032974838 0.0031126798 0.0031235504 0.003210517 0.0030728201 0.0030619493 0.003435181 0.0028807689 0.0032721185 0.0032902365 0.00320327 0.003275742 0.0031126798 0.0033844505 0.0034786642 0.0096206805 0.0030510784 0.003435181 0.0031887756 0.0031996462 0.003043831 0.0032974838 0.0031054325 0.003119927 0.003435181 0.0033663323 0.003453299 0.0030184658 0.0030836908 0.003268495 0.009305427 0.003239506 0.0031126798 0.003286613 0.0033808267 0.0032721185 0.0032358824 0.0031307978 0.0035040295 0.0031054325 0.0032648712 0.0032902365 0.0030945616 0.0029025103 0.0034170628 0.0031923992 0.003167034 0.0033264726 0.0036417267 0.003119927 0.0030945616 0.009367028 0.0032829894 0.0061891233 0.0032250115 0.0033482143 0.0033844505 0.003406192 0.0034098157 0.0031960227 0.0032467532 0.0033373435 0.0030619493 0.003286613 0.0031126798 0.0031416686 0.0031525395 0.0032938602 0.0031597866 0.0033554614 0.003156163 0.0030583255 0.0030583255 0.0032141407 0.002917005 0.003239506 0.0033156017 0.0047795395 0.0048628827 0.003109056 0.0077436515 0.0031416686 0.0031525395 0.003101809 0.003500406 0.002869898 0.0046889493 0.0031489157 0.0031815283 0.003210517 0.0032322588 0.003268495 0.0036598446 0.0029604882 0.0030329602 0.0031706574 0.003174281 0.0031779048 0.0031706574 0.005145524 0.0033554614 0.0034388045 0.003286613 0.0032540006 0.003174281 0.0031163034 0.003036584 0.0031923992 0.0030293367 0.0030402075 0.0029604882 0.0047831633 0.003119927 0.003239506 0.003090938 0.003268495 0.0030945616 0.0029532409 0.0029532409 0.0033916975 0.0030691964 0.0032793658 0.0030184658 0.0030981854 0.0031706574 0.0029278756 0.0030691964 0.003388074 0.0030691964 0.0033192255 0.0030873145 0.003036584 0.0030329602 0.0031597866 0.0031054325 0.0030691964 0.0030402075 0.003174281 0.0032974838 0.0045874882 0.0031344213 0.003054702 0.003239506 0.0030039714 0.003119927 0.003210517 0.0034569225 0.003138045 0.0030112187 0.0030873145 0.0029967243 0.0031307978 0.0030510784 0.0030981854 0.0031452922 0.003562007 0.0033590852 0.0031344213 0.0031815283 0.0030764437 0.0031163034 0.0032648712 0.003406192 0.0032540006 0.0034750407 0.0032358824 0.0030510784 0.0029314994 0.0031597866 0.003101809 0.0031126798 0.0030583255 0.0031344213 0.0030474549 0.0031271742 0.0030474549 0.0031452922 0.00298223 0.0031525395 0.0062507247 0.003406192 0.003221388 0.0031634104 0.0028807689 0.0031923992 0.0030474549 0.0030728201 0.003138045 0.0032829894 0.003340967 0.0032250115 0.003275742 0.00320327 0.0033989449 0.0030764437 0.0046309717 0.0030800672 0.003043831 0.0029749826 0.002989477 0.0032141407 0.003101809 0.006319573 0.08208955 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0035309293 0.0 5.465835e-06 5.465835e-06 1.8219449e-06 1.4575559e-05 0.000118426426 3.4616955e-05 1.093167e-05 1.8219449e-06 1.8219449e-06 0.0 1.8219449e-06 0.0 1.8219449e-06 1.8219449e-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 0.0033341593 5.465835e-06 1.6397506e-05 1.4575559e-05 0.00020587978 1.6397506e-05 2.9151119e-05 2.550723e-05 7.2877797e-06 1.093167e-05 1.093167e-05 1.093167e-05 7.2877797e-06 1.4575559e-05 1.2753615e-05 9.1097245e-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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.005431218 4.5548622e-05 4.737057e-05 5.2836403e-05 0.00020405784 0.00013664587 0.00072877796 0.00036621094 7.834363e-05 5.8302237e-05 6.7411966e-05 2.9151119e-05 8.198752e-05 5.8302237e-05 4.008279e-05 3.6438898e-05 0.0022391703 5.465835e-06 2.3685285e-05 3.279501e-05 0.00037167678 0.00010202892 0.0006030638 0.00026964786 7.2877797e-06 1.093167e-05 1.093167e-05 1.093167e-05 7.2877797e-06 1.4575559e-05 1.2753615e-05 9.1097245e-06 0.002284719 2.7329175e-05 0.000111138645 1.093167e-05 0.0001621531 0.0001621531 0.0003771426 3.6438898e-05 0.00020952367 4.008279e-05 3.279501e-05 3.279501e-05 3.8260845e-05 1.4575559e-05 7.652169e-05 0.00011478253 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.008790884 0.00012207031 0.0008253411 0.0001421117 0.0018383425 0.0021025245 0.002350309 0.00012024837 0.0023320895 0.00047188374 0.0004737057 0.0001093167 0.000429979 8.5631415e-05 0.0009310139 0.0012626079 0.024140771 0.0013008687 0.0035874096 0.0013445953 0.0056097684 0.0053419424 0.0072057922 0.00029333314 0.0071566 0.0013682806 0.0013828563 0.0003206623 0.0014101854 0.00026600398 0.0027566028 0.003678507 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.002184512 0.00027511368 0.0003243062 0.0002514284 0.0004336229 0.00043180096 0.00042269123 0.00037532067 0.0005265421 0.00030973065 0.0003370598 0.00022956506 0.00027693564 0.00030973065 0.00029515507 0.00047917152 0.049968664 0.049493134 0.04974274 0.049997814 0.05003425 0.049595162 0.049915828 0.049484026 0.050269283 0.05144626 0.049451232 0.049567834 0.049493134 0.050945226 0.049092308 0.050010566 1051.0 6.031399 6339.0 0.010727244 0.009622969 0.007887679 0.005679129 0.010727244 0.009149708 0.008991955 0.010884997 0.008991955 0.008834201 0.009465216 0.011989273 0.0058368826 0.009938476 0.01230478 0.011200504 0.008834201 0.008991955 0.011673765 0.011831519 0.0070989113 0.011516012 0.010727244 0.009938476 0.008203187 0.008203187 0.008834201 0.008203187 0.00836094 0.009307462 0.009149708 0.009465216 0.009938476 0.013251302 0.0074144187 0.011831519 0.009780723 0.0105694905 0.01009623 0.008045433 0.008676447 0.012147026 0.009465216 0.008676447 0.00836094 0.01009623 0.009938476 0.009149708 0.0077299257 0.009780723 0.008203187 0.009307462 0.011989273 0.011673765 0.010884997 0.010411737 0.011200504 0.008991955 0.008991955 0.008676447 0.0077299257 0.00836094 0.009622969 0.008991955 0.0077299257 0.01624862 0.011042751 0.012778041 0.012620287 0.024925066 0.011042751 0.0105694905 0.010253984 0.015144344 0.009780723 0.010727244 0.018299416 0.012620287 0.016090866 0.013566809 0.011516012 0.008991955 0.017037388 0.011042751 0.018141663 0.011989273 0.010253984 0.012147026 0.010253984 0.01009623 0.009465216 0.008203187 0.009149708 0.0074144187 0.008676447 0.009622969 6.5408688 0.0 0.0 0.0 4.0 275968.0 290816.0 0.0 0.0 43.0 0.0 1.0 0.0 0.0 0.0 1423930000.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 8.0 0.0 5.0 1.0 5.0 1.0 270848.0 1024.0 4096.0 4.0 0.0 0.0 0.0 2.0 1536.0 270848.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1024.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1536.0 0.0 0.0 0.0 0.0 0.0 0.0 4.7243934 7.5411773 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -0.92436767 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.2933323 0.0 0.0 0.0 0.0 0.0 0.0 1262.0 270775.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -944.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1098.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 278716.0 1098.0 286720.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 256.0 279790.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 188.0 278528.0 0.0 0.0 0.0 0.0


Input: 0.05669029 0.008300586 0.0061689904 0.0056583607 0.0057567577 0.004956115 0.0042010453 0.0054232427 0.0050514047 0.005620037 0.0037515252 0.00447345 0.004960258 0.0031735706 0.0043243007 0.0046453867 0.0050337967 0.0037722404 0.0049260776 0.004159615 0.004351231 0.003175642 0.004110934 0.0038395647 0.0050710845 0.0033527573 0.0031601058 0.002926024 0.004149257 0.0034387254 0.0037877767 0.003790884 0.0061731334 0.003820921 0.0034822274 0.0030285642 0.0049001835 0.004161686 0.003842672 0.003717345 0.004726176 0.0038954958 0.0033330778 0.0030958888 0.00437091 0.00373081 0.0037297742 0.0035847677 0.0055112825 0.0039441767 0.003107282 0.0029022014 0.0036759146 0.0030710304 0.0026815843 0.0028680214 0.0041699726 0.0033185773 0.0035205504 0.0033589718 0.0040063225 0.0032201798 0.0035029426 0.0034470116 0.006612296 0.0039452123 0.003626198 0.0032191442 0.004155472 0.0032181083 0.0035423015 0.003064816 0.0049996166 0.0037784548 0.0037018086 0.003592018 0.004125435 0.0031269614 0.003561981 0.0034656553 0.005179839 0.0036293054 0.003648985 0.0033361851 0.0039327834 0.0033900447 0.0033651865 0.0035350511 0.0046578157 0.0036448417 0.0038095277 0.003509157 0.0041130055 0.0033827943 0.003687308 0.003782598 0.0059131575 0.0036241265 0.003341364 0.0029591683 0.0040104655 0.0030492793 0.0032605745 0.0030285642 0.0049757943 0.0031601058 0.003198429 0.0030492793 0.0035816603 0.0028400559 0.0030886384 0.003198429 0.0045065945 0.0032926833 0.0032274302 0.003141462 0.0038913528 0.0033320421 0.0032906116 0.003623091 0.0046226 0.0032875044 0.0034780842 0.0031714991 0.0040322165 0.0032005005 0.0034729056 0.0033423996 0.008651709 0.00459567 0.004015644 0.0035257293 0.00437091 0.0034407969 0.0030264927 0.0033890088 0.0045387032 0.0038374932 0.0029550253 0.0031953217 0.0037287385 0.0028006968 0.0028493777 0.0029798835 0.005226448 0.0032118938 0.0034956923 0.0030275285 0.0036655571 0.0031849642 0.0033071837 0.0032605745 0.004544918 0.00283902 0.003037886 0.002700228 0.003514336 0.003228466 0.0029809193 0.003150784 0.0050079026 0.0034159387 0.0032698964 0.0027955181 0.0037784548 0.003011992 0.0030575655 0.003180821 0.004140971 0.0030047416 0.0031186754 0.0030171708 0.003639663 0.0028400559 0.002920845 0.0030327071 0.0046723164 0.0031176396 0.0038395647 0.002856628 0.0035630167 0.003150784 0.0029881694 0.0031176396 0.004253869 0.003142498 0.0033382566 0.0031777138 0.0036469132 0.0031901428 0.0033268633 0.0033382566 0.0067220866 0.004063289 0.0037214882 0.003337221 0.004115077 0.0032512527 0.0032957904 0.003224323 0.0043346584 0.0033330778 0.0031134966 0.0030844952 0.0036469132 0.002981955 0.0030782807 0.0028006968 0.0042445473 0.003280254 0.0030876026 0.002999563 0.0037142378 0.0030264927 0.0029353458 0.002950882 0.0039783567 0.0031103892 0.0027240505 0.0026380825 0.003531944 0.0029405246 0.0035764817 0.0028835577 0.0049540433 0.0032388237 0.0034035095 0.002976776 0.0038022774 0.003067923 0.003194286 0.0029104876 0.0044423775 0.00545328 0.003470834 0.0031321403 0.0037877767 0.0030834596 0.0032460738 0.0031901428 0.0046122423 0.00331547 0.0034252605 0.0030430648 0.0037380604 0.00309071 0.003310291 0.0032398594 0.0043419087 0.0030316715 0.0031870357 0.002864914 0.0040125367 0.0031041747 0.0042227963 0.0045159166 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 0.099233694 0.062023655 0.062470943 0.055316404 0.060619522 0.059579134 0.054943834 0.054473713 0.060468003 0.053142227 0.052120004 0.052927922 0.056410234 0.050526474 0.056664493 0.05381939 4028.0 5.7023335 22969.0 0.017153556 0.010448866 0.009316905 0.008750925 0.013365841 0.012451565 0.011798511 0.011450215 0.012582176 0.009795812 0.008446166 0.008750925 0.013844747 0.010623014 0.011885585 0.00996996 0.016718185 0.012016196 0.008794462 0.0075754276 0.009795812 0.00853324 0.0077931127 0.008359092 0.010361792 0.00840263 0.009621664 0.008837999 0.011493753 0.009012147 0.0096652005 0.009186295 0.018111367 0.010884236 0.010361792 0.009142757 0.010840698 0.008794462 0.010710088 0.008359092 0.014193043 0.011580827 0.009708738 0.009012147 0.011450215 0.009360442 0.0116679 0.00953459 0.014759023 0.009578127 0.00996996 0.00896861 0.012059732 0.009316905 0.00953459 0.0097522745 0.013714137 0.009229831 0.01053594 0.00953459 0.011188994 0.009882886 0.010405329 0.010710088 0.01793722 0.01097131 0.0096652005 0.008228482 0.013061082 0.008272019 0.009360442 0.008315556 0.015412077 0.009273369 0.008881536 0.008707388 0.011363141 0.008010797 0.009882886 0.007836649 0.0132787675 0.007967261 0.008707388 0.008794462 0.011406679 0.009491053 0.008184945 0.007836649 0.01097131 0.008794462 0.011972658 0.008576778 0.011276068 0.009012147 0.0100134965 0.008881536 6.5546565 0.0 0.0 0.0 14.0 965474.0 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: 0.18520422 0.011785572 0.007276886 0.0065806923 0.008420634 0.005901074 0.0066138445 0.0046910224 0.008835035 0.0025692878 0.0027184724 0.0025361357 0.0050391196 0.0031328737 0.0021383106 0.006862485 0.0050059673 0.0025029837 0.0017073333 0.0023372232 0.0036798832 0.0073929187 0.002237767 0.0019891262 0.0025361357 0.0016741812 0.0014255404 0.0018896698 0.0022211908 0.0031328737 0.0015415727 0.0015415727 0.006845909 0.0014586925 0.002237767 0.0030831455 0.0040942845 0.0017736375 0.001309508 0.0012763559 0.0019228219 0.0014255404 0.0018067895 0.0024035275 0.0020720065 0.0018730938 0.0032323299 0.0023206472 0.0070282454 0.00331521 0.0021217344 0.009348893 0.0020388542 0.0030168414 0.0013426602 0.0015913009 0.0023537993 0.0033980904 0.001607877 0.0034478186 0.0019228219 0.0020885824 0.001326084 0.0015084207 0.013957035 0.0027350483 0.0020554303 0.003994828 0.003215754 0.0116861155 0.004210317 0.00520488 0.0025195598 0.0019228219 0.000977987 0.001292932 0.003895372 0.00457499 0.00197255 0.001326084 0.008685851 0.0019891262 0.0018896698 0.0070448215 0.0024532555 0.0051385756 0.0056690094 0.0069785174 0.0017073333 0.0015084207 0.0011271714 0.0019891262 0.0019891262 0.0025527119 0.0032654821 0.0020222783 0.0017073333 0.0059839543 0.0020720065 0.003928524 0.003613579 0.011056226 0.008619547 0.002884233 0.007194006 0.0073929187 0.007276886 0.0014255404 0.005967378 0.0034478186 0.0056855856 0.0060834107 0.0037296114 0.0011437475 0.006497812 0.00583477 0.01326084 0.011702692 0.0023869514 0.0030831455 0.0028676568 0.0024698316 0.0018399416 0.0011934757 0.0016741812 0.004276621 0.0012100517 0.0017570613 0.005901074 0.0046910224 0.0046412945 0.007127702 0.002983689 0.00709455 0.0024532555 0.001641029 0.0026355921 0.008221721 0.0012763559 0.012415462 0.0015913009 0.004840207 0.0018565177 0.0016741812 0.001955974 0.0015084207 0.0015415727 0.0017239093 0.0020720065 0.0014421165 0.001955974 0.0012266277 0.0016907572 0.0047407504 0.00096141093 0.0009282589 0.000977987 0.0012432038 0.000977987 0.0010442912 0.0022211908 0.001955974 0.0015084207 0.0018067895 0.0014421165 0.0012597799 0.0010940194 0.0010277152 0.0014255404 0.0011105954 0.0012763559 0.0010277152 0.0014586925 0.0011603236 0.0010940194 0.0011603236 0.001607877 0.00096141093 0.0010940194 0.0010774434 0.0015747248 0.00096141093 0.0013592362 0.0018399416 0.0019228219 0.0012763559 0.0011105954 0.001326084 0.0023372232 0.0012432038 0.0014421165 0.0011271714 0.007276886 0.0030002652 0.0023869514 0.0020388542 0.0021217344 0.0013426602 0.0017902135 0.0029671132 0.0024532555 0.0027184724 0.0014918445 0.0011271714 0.0056027053 0.001309508 0.000977987 0.0012432038 0.0016741812 0.0012597799 0.0014918445 0.001624453 0.0013758122 0.000977987 0.0025195598 0.0015249967 0.0021880388 0.0011768996 0.0010111391 0.0013758122 0.0013923883 0.0013592362 0.0015913009 0.0011105954 0.0025195598 0.0017736375 0.0012597799 0.0013923883 0.0017902135 0.0011603236 0.0012266277 0.0011768996 0.010277151 0.0033815145 0.0025029837 0.004608142 0.0053374884 0.0012763559 0.0015581488 0.0017736375 0.0038124917 0.0015084207 0.0015913009 0.001657605 0.0027682006 0.0011437475 0.0031494496 0.0033649383 0.0051551517 0.0015913009 0.0015249967 0.0033815145 0.0041771648 0.001607877 0.0023869514 0.042799365 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.012464021 0.00025699014 0.0001370614 0.0006167763 0.0006424753 0.00025699014 0.001242119 0.00035978618 0.0004540159 0.00026555647 5.1398027e-05 4.283169e-05 0.00029125548 5.9964364e-05 9.422971e-05 0.00030838815 0.010767886 0.00023129112 0.00067674066 0.0005225466 0.00053111295 0.00046258225 0.0022015488 0.0010022615 0.00032552084 5.1398027e-05 5.1398027e-05 4.283169e-05 9.422971e-05 3.426535e-05 4.283169e-05 0.0005054139 0.027677838 0.00030838815 0.00147341 0.00081380206 0.0053625274 0.0038205867 0.017483896 0.008677701 0.0010450932 0.0018074972 0.00032552084 0.00026555647 0.00030838815 0.00025699014 0.00018845942 0.00035978618 0.022983484 0.00089946546 0.00076240406 0.0016447369 0.002612733 0.0020644874 0.007229989 0.0038891174 0.0014305784 0.0021415844 0.0005653783 0.00057394465 0.00147341 0.00042831688 0.0010022615 0.0029296875 0.031541254 0.0017903646 0.0024928043 0.0017475329 0.0032637746 0.0020901863 0.004574424 0.0051398026 0.004437363 0.0019017269 0.000736705 0.0010193941 0.0022015488 0.0008908991 0.0013534813 0.004994175 0.02039645 0.00096799614 0.0019702576 0.002133018 0.0021672836 0.0011136238 0.0059022065 0.0028440242 0.0017903646 0.0024671052 0.0007281387 0.0011735882 0.0019959568 0.00067674066 0.0026469983 0.0036578262 0.05309416 0.008275082 0.005302563 0.008009526 0.014228687 0.010622259 0.009602864 0.009757059 0.018897342 0.0030581825 0.0020559211 0.0031352795 0.010390968 0.0043773986 0.009859854 0.02231531 0.074038856 0.018366229 0.014271518 0.018983005 0.02788343 0.024868079 0.022777893 0.022041187 0.0338713 0.0037434895 0.0069301673 0.006527549 0.013937431 0.0067074425 0.018417627 0.037511993 0.014631305 0.011384663 0.011187637 0.012207031 0.009859854 0.011256168 0.0133463545 0.0112733 0.009705661 0.010408101 0.010348136 0.009405839 0.009585732 0.010133978 0.010168243 0.010536595 454.0 13.594713 6172.0 0.026085548 0.0011341543 0.008425145 0.0066429037 0.0059948154 0.0034024627 0.0009721322 0.0014581983 0.0016202204 0.0032404407 0.0014581983 0.0024303305 0.0027543746 0.0066429037 0.014744005 0.011017499 0.02543746 0.015392093 0.009235256 0.00874919 0.0027543746 0.0034024627 0.0024303305 0.0021062864 0.0032404407 0.0063188593 0.0037265068 0.0024303305 0.0037265068 0.004374595 0.0030784186 0.0008101102 0.0012961762 0.0064808815 0.0025923525 0.014581983 0.008101102 0.009883344 0.009073234 0.0095593 0.0037265068 0.007615036 0.0011341543 0.0027543746 0.008587168 0.009235256 0.005832793 0.0030784186 0.011503564 0.0024303305 0.0059948154 0.01830849 0.00874919 0.0037265068 0.007615036 0.02073882 0.0025923525 0.0009721322 0.0019442644 0.0022683085 0.0014581983 0.0014581983 0.0032404407 0.0014581983 0.0009721322 0.03661698 0.005832793 0.025113415 0.01830849 0.08198315 0.0068049254 0.017174335 0.012961763 0.04455606 0.0032404407 0.0042125727 0.035158783 0.020252755 0.035644848 0.039533377 0.01749838 0.0009721322 0.042287752 0.038723268 0.054601427 0.014744005 0.008587168 0.012961763 0.007615036 0.011665586 0.0042125727 0.0009721322 0.0008101102 0.00016202203 0.0016202204 0.0009721322 5.73709 0.0 17.0 0.0 1.0 60328.0 1478656.0 0.0 0.0 168.0 0.0 1.0 1.0 0.0 0.0 1270902000.0 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 -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 6.0 0.0 9.0 0.0 5.0 0.0 5.0 0.0 25600.0 1024.0 4096.0 5.0 1.0 0.0 1.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 6656.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -512.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -25600.0 0.0 10752.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.0281763 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.4298774 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.4933524 0.0 5.1643434 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1003520.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 6386.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -419484.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -25506.0 0.0 10584.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 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 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 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 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 -1.0 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 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 2.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 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 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 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 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 -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 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 1.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 2.0 0.0 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 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 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 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 180.0 35352.0 10584.0 1466368.0 0.0 0.0 6456.0 53872.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 704.0 32768.0 0.0 0.0 0.0 0.0


Input: 0.22800499 0.018946731 0.005506915 0.0046298066 0.0037302675 0.0061550983 0.0032339871 0.0028468915 0.0062156282 0.0019668143 0.0028144 0.0017769776 0.0022823294 0.0026999372 0.0018030369 0.0076145814 0.005389319 0.0021672067 0.0015295795 0.0015340328 0.0017792867 0.01529926 0.0013742136 0.0015882953 0.004119672 0.003341358 0.0015150656 0.001426497 0.0014764714 0.0014566797 0.0015002217 0.0018065005 0.00806699 0.0018370128 0.002263692 0.0018371778 0.016294954 0.0030212249 0.0013715747 0.0014819142 0.0045399186 0.0013966444 0.0013728942 0.001975061 0.0015234771 0.0013321559 0.0015483819 0.0014814194 0.0060958876 0.008011078 0.0019382811 0.0074570714 0.002470022 0.000963203 0.0007535744 0.0006978274 0.0037228456 0.0010921798 0.0008378547 0.002285133 0.00090927025 0.0009620485 0.0008310925 0.002263692 0.020097462 0.009974759 0.0023008017 0.0038706246 0.0077427337 0.006912631 0.0015129214 0.0014975828 0.058327056 0.005364249 0.001577245 0.00181986 0.009747483 0.0050157476 0.0017207358 0.0017901722 0.0060299146 0.0016455267 0.0021048624 0.0026146674 0.0030136378 0.0026530966 0.0021896376 0.0025942158 0.003112432 0.00085071934 0.0013522777 0.0013016436 0.002957396 0.0012401239 0.0012506795 0.002840954 0.002833697 0.0031756011 0.0012646987 0.0028035145 0.0023428593 0.004027475 0.0022445598 0.0012147244 0.0027541998 0.0025562814 0.00057297386 0.00068149914 0.002525934 0.0011885002 0.0023120171 0.002760797 0.004347608 0.00047978724 0.0029933513 0.002203162 0.009670954 0.0044826875 0.0027594776 0.0022754022 0.0025826704 0.0011639253 0.0007026104 0.000715805 0.001382955 0.0008992094 0.00086605805 0.0006923846 0.003753688 0.0015137461 0.00056357274 0.007312756 0.0026595287 0.006084672 0.0006968378 0.0008162486 0.0018767614 0.0109178405 0.0020248704 0.030856142 0.0009538019 0.014052373 0.00084709085 0.0011362167 0.0054485295 0.0010905305 0.00074005 0.0012866347 0.00074813166 0.00057495304 0.0005460899 0.0006133822 0.0013402376 0.00073625654 0.00050122844 0.00042437008 0.0015925836 0.00041480403 0.0007029403 0.00058781775 0.0022722685 0.0009783767 0.0010577091 0.0011342375 0.001516385 0.0009429164 0.0009902519 0.0010425353 0.0018967183 0.0009574304 0.0011083431 0.0010537506 0.001035938 0.0009236193 0.0011556786 0.001074862 0.0019161802 0.00046939653 0.0006386168 0.0004435022 0.00057907635 0.00044910988 0.00089986913 0.0011048797 0.0021703404 0.0012262695 0.0027081838 0.00062360795 0.0006006824 0.00044993457 0.0006046408 0.0007875504 0.0073330426 0.0015744411 0.0010128475 0.0036179489 0.0035819937 0.00055911957 0.0014167661 0.0033731896 0.003406506 0.002591247 0.0007944775 0.001941085 0.020006254 0.000754564 0.001606108 0.002042848 0.0028427683 0.00072586583 0.0018312403 0.0009214752 0.0006852925 0.0005831996 0.0008909628 0.0014769663 0.0024160892 0.0011825626 0.00078194274 0.0013778422 0.0007765 0.0006178354 0.0008640789 0.0010420405 0.002440664 0.0006885912 0.0006879315 0.00081492914 0.0010611726 0.00071531016 0.00089294196 0.0009498435 0.006254552 0.0021231698 0.0011771198 0.0027721773 0.003003247 0.0021269633 0.00084445195 0.0008715008 0.0031134218 0.0016221064 0.0016033042 0.00070376496 0.0008630893 0.0007868907 0.0017240344 0.0011114769 0.0029098957 0.0014113233 0.0020341065 0.0020395494 0.0007380708 0.00067143823 0.001977205 0.04574027 0.00016537229 8.247994e-08 0.0 0.0 0.0 0.0 0.0 0.0 8.247994e-08 0.0 0.0 0.0 8.247994e-08 0.0 0.0 3.2991977e-06 0.00031342378 2.4743983e-07 2.4743983e-07 1.6495989e-07 0.0 0.0 8.247994e-08 8.247994e-08 3.2991977e-07 1.6495989e-07 0.0 0.0 8.247994e-08 0.0 8.247994e-08 2.2929424e-05 0.00015555717 1.9795186e-06 1.6495989e-06 9.897593e-07 4.9487966e-07 3.2991977e-07 4.1239971e-07 3.2991977e-07 5.1137563e-06 3.2991977e-07 2.4743983e-07 2.4743983e-07 3.2991977e-07 2.4743983e-07 3.2991977e-07 3.2991977e-07 0.00060061895 6.2684753e-06 5.526156e-06 8.825354e-06 9.980073e-06 4.7838366e-06 8.083034e-06 6.515915e-06 8.742873e-06 1.8145587e-06 2.2269585e-06 1.7320788e-06 1.7320788e-06 1.6495989e-06 0.0003552411 0.00066544814 0.0023836703 4.198229e-05 1.9300307e-05 2.4661502e-05 0.00012149295 3.9507893e-05 1.5588708e-05 1.6495987e-05 3.2991975e-05 1.7898146e-05 1.1052312e-05 1.0557433e-05 2.0949905e-05 3.1589818e-05 0.00033272407 0.00076467154 0.020324707 0.0003325591 0.00029964963 0.00027408084 0.0017630912 0.00048341494 0.00018063108 0.0002076845 0.00019349794 0.0002286344 0.00017395019 0.00016347524 0.00013765902 0.00021461281 0.00094340555 0.0027951626 0.028450135 0.00101739 0.0020042625 0.00045578415 0.0024099813 0.00057867926 0.00050634437 0.00033495104 0.00029181404 0.00096443796 0.00022269585 0.0003162281 0.00025478055 0.00036324165 0.0010291847 0.0025230614 0.012280026 0.0005075816 0.00055847166 0.000485147 0.00095404545 0.0010320715 0.00076879555 0.0005259746 0.0006507667 0.00017634212 0.0001422779 0.00016100085 0.00015118573 0.00028719514 0.00080863334 0.0019631875 0.030146336 0.00089952623 0.0010490624 0.0032892176 0.0068876524 0.0025219067 0.004132575 0.003514058 0.00049042574 0.00059690734 0.00045487686 0.0004547119 0.00047475455 0.000805829 0.0010758684 0.002327914 0.041699547 0.0021789551 0.0024058574 0.0071223904 0.017752735 0.0065942714 0.013836175 0.010166477 0.00092179584 0.0010937665 0.000824552 0.00062478555 0.0008277687 0.0012819857 0.0014938767 0.0043507344 0.030606573 0.0035733609 0.0037214125 0.0040450636 0.0037180309 0.002201637 0.0040209796 0.0026286356 0.0008384911 0.0016473719 0.0008746173 0.00082331477 0.0011346765 0.0014842266 0.0021877803 0.009128963 0.016564777 0.0025247934 0.0026094178 0.0024627685 0.0023704735 0.00151128 0.0015664591 0.0014355633 0.0014280577 0.0015130945 0.009737912 0.001153317 0.0013873127 0.0012772019 0.0015921928 0.0050883526 0.011368375 0.0014588227 0.0023625554 0.0014624519 0.005584387 0.0011969489 0.0007462785 0.000886082 0.004247387 0.0006533236 0.0007508149 0.0006347656 0.0034138449 0.0006920892 0.0013451653 0.0025548162 0.08025702 0.023817403 0.026118016 0.015022319 0.071552336 0.015174825 0.006482676 0.012854004 0.056840062 0.0070889033 0.004063292 0.0080477325 0.035409052 0.008737017 0.011597422 0.025721699 0.024485407 0.010616406 0.009875159 0.0063068285 0.025859112 0.006096422 0.0026679786 0.0052980166 0.019808382 0.0030463967 0.0015419625 0.002930842 0.012072754 0.0034998714 0.004296875 0.010752993 0.00040481155 0.00033082705 0.00031886745 0.00033371383 0.0003025364 0.00031589819 0.0003247235 0.00034616832 0.00032018713 0.00031713536 0.00031144425 0.00034897262 0.0003294249 0.00034113703 0.00036398397 0.0003955738 19214.0 19.994223 384169.0 0.0043860907 0.00021605074 0.00029153837 0.0001353571 0.019592939 0.00020043262 0.00022385981 0.00018741752 0.0018325269 0.0004451166 0.00021344773 0.0013483649 0.0002603021 0.00044771962 0.003943577 0.00021605074 0.004927519 0.0019158236 0.0010464145 0.011617283 0.0026108301 0.00027592023 0.00055184047 0.00034359877 0.0022542162 0.001858557 0.0003852471 0.0024077946 0.0003566139 0.0002707142 0.00027592023 0.02134998 0.08247152 0.079943985 0.0094749965 0.0169743 0.017065406 0.02600418 0.0046281717 0.0041700397 0.026540402 0.008441597 0.00074446405 0.000983942 0.016175173 0.006481522 0.0055184048 0.0037847927 0.015100125 0.006416447 0.005450726 0.013223347 0.013647639 0.014381692 0.022490103 0.018088393 0.010633341 0.0031236252 0.012411204 0.0012286259 0.0030611528 0.004451166 0.007434228 0.019233722 0.001106284 0.03896983 0.009857641 0.028997654 0.018866697 0.048918575 0.006346165 0.010963925 0.005703219 0.02884668 0.0013119226 0.0023687491 0.020379052 0.010198637 0.023690095 0.031712607 0.013996445 0.00029153837 0.031020202 0.02029055 0.048403177 0.010367833 0.0028919564 0.004492814 0.00480778 0.0059192698 0.0004451166 0.00017960845 0.0011791686 0.0004321015 0.00018741752 0.0006898006 5.5143332 0.0 1.0 9.0 7.0 6063104.0 6148096.0 1.0 659.0 5001.0 1.0 1.0 0.0 1.0 0.0 1487155800.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 14.0 0.0 6.0 0.0 6.0 0.0 3447808.0 1024.0 4096.0 10.0 0.0 0.0 2.0 2.0 0.0 0.0 -512.0 0.0 0.0 -104448.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1941504.0 0.0 0.0 0.0 0.0 176128.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 512.0 0.0 -86016.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3447808.0 0.0 304640.0 0.0 0.0 -512.0 0.0 0.0 0.0 0.0 0.0 -0.50325835 0.0 0.0 -5.445269 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4.8776965 0.0 0.0 0.0 0.0 6.369701 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.031136 0.0 -4.183547 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -8.144289 0.0 5.8641715 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -9.0 0.0 0.0 -104160.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1941132.0 0.0 0.0 0.0 0.0 176124.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 270.0 0.0 -144416.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3447100.0 0.0 304552.0 0.0 0.0 -24.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 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 1.0 -2.0 -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 0.0 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 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 -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 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 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 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 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 1.0 1.0 -2.0 1.0 0.0 1.0 1.0 -1.0 -1.0 -1.0 -2.0 1.0 1.0 1.0 -1.0 -2.0 -4.0 -1.0 -2.0 3.0 3.0 -5.0 2.0 1.0 0.0 5.0 -3.0 -2.0 -3.0 -2.0 0.0 2.0 -2.0 -1.0 0.0 0.0 0.0 -1.0 3.0 -2.0 1.0 0.0 -2.0 -1.0 1.0 2.0 1.0 -3.0 0.0 0.0 2.0 -3.0 -1.0 -1.0 -2.0 2.0 3.0 -3.0 0.0 -2.0 3.0 -4.0 -1.0 2.0 -1.0 -3.0 -2.0 -1.0 1.0 2.0 -1.0 2.0 -1.0 2.0 1.0 -2.0 -1.0 2.0 0.0 -1.0 2.0 -1.0 1.0 -2.0 0.0 -3.0 -1.0 0.0 -4.0 0.0 -2.0 0.0 3.0 0.0 -1.0 -2.0 -2.0 -1.0 1.0 2.0 1.0 -3.0 1.0 -3.0 1.0 2.0 3.0 2.0 0.0 3.0 -2.0 -2.0 0.0 1.0 -1.0 2.0 1.0 3.0 1.0 0.0 -1.0 3.0 -3.0 2.0 2.0 -3.0 1.0 3.0 -4.0 5.0 0.0 1.0 -5.0 -3.0 1.0 0.0 0.0 3.0 -6.0 0.0 0.0 1.0 2.0 3.0 2.0 0.0 -1.0 0.0 2.0 2.0 1.0 -1.0 0.0 -3.0 6.0 2.0 0.0 -3.0 3.0 -4.0 3.0 -2.0 -1.0 1.0 -3.0 0.0 1.0 0.0 0.0 -3.0 -2.0 0.0 1.0 -2.0 -3.0 1.0 8.0 0.0 -2.0 2.0 -2.0 4.0 0.0 -3.0 -1.0 1.0 -4.0 -1.0 -1.0 -1.0 2.0 0.0 -1.0 1.0 2.0 1.0 2.0 5.0 1.0 0.0 -2.0 3.0 -2.0 2.0 1.0 -4.0 -1.0 2.0 4.0 0.0 -2.0 -2.0 1.0 2.0 5.0 0.0 2.0 2.0 -3.0 -1.0 2.0 4.0 -2.0 0.0 0.0 2.0 0.0 2.0 1.0 -2.0 -2.0 2.0 -1.0 4.0 5.0 2.0 0.0 0.0 -5.0 -3.0 -1.0 -1.0 3.0 -2.0 5.0 2.0 0.0 6.0 1.0 -1.0 1.0 -4.0 6.0 4.0 3.0 4.0 2.0 1.0 2.0 1.0 1.0 3.0 5.0 0.0 -2.0 0.0 -1.0 -3.0 -5.0 3.0 0.0 3.0 2.0 -1.0 0.0 3.0 1.0 -3.0 -3.0 1.0 -2.0 5.0 1.0 -2.0 0.0 -4.0 1.0 -1.0 2.0 -3.0 0.0 -2.0 -1.0 2.0 6.0 1.0 3.0 0.0 -1.0 -2.0 1.0 -1.0 0.0 -4.0 -2.0 2.0 -1.0 1.0 0.0 -1.0 2.0 -2.0 -4.0 2.0 0.0 0.0 -5.0 -2.0 -2.0 -2.0 -4.0 -4.0 0.0 2.0 3.0 -2.0 -2.0 1.0 1.0 -2.0 -3.0 0.0 5.0 3.0 2.0 2.0 0.0 1.0 3.0 0.0 -2.0 3.0 -2.0 -2.0 0.0 -1.0 -2.0 -1.0 1.0 1.0 0.0 -2.0 1.0 4.0 1.0 -1.0 -1.0 -1.0 -3.0 -4.0 3.0 -2.0 -2.0 -1.0 0.0 0.0 -4.0 -2.0 2.0 1.0 -4.0 2.0 2.0 0.0 0.0 4.0 -2.0 3.0 -4.0 0.0 2.0 -2.0 0.0 1.0 0.0 -4.0 -1.0 -1.0 -1.0 0.0 4.0 2.0 2.0 4.0 0.0 -2.0 -2.0 0.0 3.0 -4.0 -1.0 -1.0 -3.0 1.0 0.0 -1.0 2.0 4.0 1.0 1.0 4.0 0.0 -2.0 -2.0 1.0 -2.0 -3.0 -1.0 3.0 3.0 -2.0 1.0 -5.0 -1.0 1.0 -8.0 1.0 -2.0 -1.0 5.0 -1.0 -2.0 -1.0 -1.0 0.0 -2.0 2.0 -3.0 -4.0 4.0 0.0 0.0 4.0 4.0 -1.0 2.0 2.0 1.0 -3.0 7.0 -3.0 3.0 0.0 1.0 -2.0 -1.0 2.0 -2.0 -3.0 2.0 0.0 -4.0 2.0 -4.0 3.0 -3.0 -1.0 2.0 0.0 1.0 2.0 2.0 -2.0 7.0 1.0 1.0 -4.0 3.0 2.0 2.0 1.0 1.0 -2.0 5.0 -2.0 7.0 -1.0 -3.0 0.0 0.0 1.0 2.0 0.0 0.0 1.0 4.0 -2.0 3.0 -3.0 -2.0 1.0 3.0 -1.0 1.0 0.0 -3.0 -6.0 3.0 0.0 0.0 4.0 -5.0 -1.0 0.0 -1.0 -3.0 1.0 0.0 -2.0 2.0 2.0 0.0 3.0 2.0 -5.0 1.0 5.0 6.0 -2.0 -6.0 3.0 2.0 -1.0 -1.0 2.0 5.0 0.0 -3.0 -1.0 2.0 -1.0 2.0 1.0 -2.0 0.0 1.0 2.0 3.0 1.0 0.0 0.0 2.0 -1.0 7.0 3.0 1.0 4.0 -1.0 0.0 -4.0 -2.0 -2.0 4.0 0.0 -1.0 0.0 -4.0 0.0 2.0 -5.0 4.0 0.0 2.0 0.0 -1.0 -2.0 3.0 0.0 -1.0 4.0 -2.0 0.0 4.0 3.0 -2.0 -2.0 2.0 0.0 -2.0 4.0 -2.0 -4.0 -1.0 2.0 -3.0 -2.0 0.0 -1.0 0.0 0.0 0.0 -1.0 2.0 1.0 0.0 -3.0 -1.0 2.0 0.0 -3.0 2.0 2.0 2.0 0.0 3.0 -1.0 -2.0 0.0 3.0 -4.0 -3.0 0.0 3.0 0.0 0.0 -1.0 -3.0 -1.0 -3.0 -1.0 1.0 0.0 1.0 -3.0 3.0 -2.0 0.0 2.0 2.0 -4.0 -1.0 -1.0 -1.0 0.0 -7.0 3.0 -1.0 5.0 -1.0 -2.0 -1.0 -2.0 4.0 -3.0 1.0 3.0 -4.0 0.0 2.0 -5.0 0.0 0.0 2.0 -3.0 -2.0 3.0 4.0 2.0 0.0 0.0 0.0 2.0 2.0 1.0 2.0 -1.0 2.0 -1.0 -3.0 3.0 0.0 -5.0 -3.0 3.0 2.0 0.0 2.0 -1.0 0.0 -2.0 1.0 2.0 1.0 0.0 2.0 1.0 3.0 0.0 -4.0 -2.0 2.0 -3.0 0.0 1.0 -1.0 -1.0 1.0 3.0 -2.0 0.0 -6.0 -1.0 -2.0 0.0 1.0 2.0 2.0 -1.0 -3.0 -1.0 2.0 -2.0 -2.0 -2.0 -4.0 -2.0 -1.0 -4.0 -1.0 1.0 3.0 -3.0 1.0 0.0 0.0 7.0 -1.0 -5.0 1.0 0.0 3.0 -2.0 0.0 1.0 0.0 0.0 3.0 -1.0 2.0 -4.0 5.0 -1.0 0.0 1.0 0.0 0.0 2.0 0.0 -1.0 -2.0 -4.0 -5.0 -3.0 0.0 0.0 0.0 -2.0 2.0 1.0 1.0 9.0 -3.0 1.0 -1.0 4.0 8.0 -1.0 0.0 2.0 0.0 2.0 -3.0 -2.0 -1.0 -6.0 0.0 0.0 -1.0 5.0 -2.0 5.0 0.0 3.0 0.0 0.0 2.0 -3.0 1.0 0.0 2.0 4.0 0.0 1.0 2.0 3.0 -1.0 3.0 0.0 -1.0 -4.0 2.0 3.0 2.0 0.0 5.0 3.0 0.0 1.0 5.0 0.0 -3.0 0.0 -3.0 -6.0 -1.0 -1.0 -1.0 -1.0 -1.0 1.0 3.0 1.0 -2.0 -1.0 -2.0 -5.0 1.0 2.0 1.0 3.0 3.0 0.0 0.0 3.0 5.0 3.0 1.0 3.0 2.0 1.0 3.0 -2.0 2.0 2.0 -5.0 -2.0 0.0 1.0 1.0 -2.0 1.0 -3.0 3.0 0.0 3.0 -7.0 -1.0 0.0 2.0 -5.0 -3.0 -3.0 0.0 3.0 -2.0 -3.0 2.0 0.0 -2.0 -3.0 -1.0 3.0 2.0 1.0 -2.0 -3.0 -1.0 2.0 3.0 2.0 0.0 3.0 1.0 0.0 -1.0 0.0 2.0 -1.0 3.0 -2.0 0.0 3.0 -2.0 -2.0 1.0 1.0 -4.0 2.0 1.0 -2.0 3.0 1.0 3.0 -4.0 0.0 -1.0 3.0 -8.0 1.0 3.0 -2.0 2.0 4.0 1.0 -1.0 0.0 -2.0 5.0 -6.0 1.0 2.0 -2.0 2.0 -3.0 -1.0 -1.0 -1.0 -4.0 3.0 1.0 5.0 -4.0 1.0 0.0 -1.0 3.0 -1.0 0.0 3.0 4.0 3.0 -8.0 -1.0 -1.0 -2.0 2.0 1.0 3.0 0.0 -2.0 -2.0 0.0 -2.0 4.0 2.0 -2.0 3.0 -4.0 5.0 3.0 -1.0 -1.0 6.0 1.0 0.0 0.0 -1.0 1.0 -2.0 2.0 -7.0 2.0 0.0 3.0 0.0 -3.0 -1.0 -1.0 1.0 6.0 -2.0 -1.0 0.0 5.0 1.0 -6.0 1.0 2.0 -1.0 -2.0 2.0 1.0 0.0 1.0 -2.0 2.0 0.0 -7.0 4.0 -1.0 1.0 0.0 4.0 -5.0 0.0 0.0 -4.0 4.0 -1.0 0.0 1.0 0.0 -2.0 -2.0 0.0 -1.0 -1.0 2.0 -4.0 -1.0 2.0 2.0 5.0 -1.0 -1.0 -2.0 0.0 0.0 2.0 0.0 1.0 0.0 0.0 -2.0 -5.0 0.0 -4.0 -2.0 0.0 -1.0 2.0 -1.0 0.0 -2.0 -1.0 -1.0 -2.0 -3.0 0.0 -1.0 0.0 0.0 1.0 0.0 1.0 1.0 3.0 -3.0 1.0 2.0 -1.0 0.0 0.0 0.0 0.0 -3.0 1.0 2.0 2.0 1.0 0.0 -1.0 0.0 2.0 4.0 0.0 -2.0 -2.0 0.0 -1.0 -2.0 2.0 0.0 0.0 -1.0 2.0 -2.0 -3.0 -1.0 3.0 0.0 0.0 2.0 2.0 0.0 -1.0 2.0 -4.0 4.0 1.0 -2.0 3.0 0.0 2.0 -1.0 -2.0 1.0 1.0 6.0 0.0 3.0 1.0 0.0 -1.0 2.0 -2.0 0.0 -4.0 -1.0 0.0 2.0 4.0 0.0 1.0 5.0 2.0 1.0 -1.0 1.0 1.0 -2.0 0.0 -4.0 -3.0 -4.0 -1.0 -4.0 0.0 2.0 0.0 4.0 -3.0 36820.0 5062880.0 1040.0 5099700.0 304552.0 5734400.0 176124.0 5545984.0 0.0 0.0 104160.0 6041600.0 84.0 4259312.0 0.0 0.0 0.0 0.0 40.0 4259400.0 148.0 3514048.0 0.0 0.0 52072.0 3457024.0 384.0 5053456.0 0.0 0.0