Input: 0.05672907 0.008301082 0.0061742472 0.0056539397 0.005754477 0.0049626147 0.004201846 0.005412442 0.005041386 0.0056228456 0.003748909 0.0044568176 0.0049543227 0.00318507 0.004325186 0.0046381997 0.0050465683 0.0037592738 0.0049398122 0.0041562417 0.0043552434 0.0031778147 0.004104418 0.0038432279 0.005074553 0.003342613 0.0031695229 0.0029238795 0.0041386215 0.003452479 0.0037934773 0.0037872584 0.006169065 0.0038152433 0.0034887553 0.0030161254 0.004893171 0.004172825 0.0038494465 0.0037188516 0.004729409 0.0038960876 0.0033363944 0.0030959335 0.0043707904 0.0037136693 0.0037281797 0.0035810012 0.00550987 0.003949984 0.0031031887 0.0028990044 0.0036784292 0.0030783135 0.002692747 0.0028544362 0.00416557 0.0033198108 0.0035198494 0.003339504 0.004012172 0.0032182368 0.0035022295 0.0034545518 0.006600236 0.003948948 0.0036193505 0.0032234192 0.0041572778 0.0032223829 0.0035395424 0.003077277 0.005006146 0.0037800032 0.0037147056 0.0035841104 0.004131366 0.0031270275 0.003547834 0.0034586978 0.0051678354 0.0036245328 0.0036400799 0.0033363944 0.0039282185 0.0033851084 0.0033633425 0.0035447248 0.0046485644 0.0036483717 0.003810061 0.0035125942 0.0041075274 0.0033851084 0.0036887939 0.0037934773 0.005913057 0.0036307515 0.0033405402 0.0029518644 0.0040132087 0.0030524018 0.0032731697 0.0030358182 0.004968833 0.0031622676 0.003194398 0.0030534384 0.0035747823 0.002831634 0.003081423 0.0031975075 0.0045003495 0.0032928626 0.0032223829 0.0031446475 0.0038929784 0.003327066 0.0032918262 0.0036245328 0.0046226527 0.003300118 0.0034763177 0.0031601945 0.004038084 0.0031923251 0.003465953 0.0033457226 0.0086534815 0.0045884494 0.0040215007 0.0035239954 0.004375973 0.00342864 0.0030254535 0.003399619 0.0045428444 0.0038338995 0.0029653383 0.003194398 0.0037261068 0.0027963938 0.0028482173 0.0029788124 0.005228987 0.0032037264 0.0034846095 0.0030254535 0.003664955 0.003178851 0.0033073733 0.0032762792 0.004555282 0.002840962 0.0030399642 0.0027031116 0.00351674 0.0032234192 0.0029881408 0.0031487935 0.0050113285 0.0034110202 0.0032721332 0.002792248 0.0037675656 0.0030088702 0.003050329 0.0031881793 0.0041386215 0.0030026513 0.00311459 0.0030202712 0.0036452622 0.0028326702 0.0029238795 0.0030410006 0.004674476 0.0031104442 0.003841155 0.0028513267 0.0035654542 0.003147757 0.0029881408 0.0031249546 0.0042536696 0.003145684 0.0033353579 0.003176778 0.0036608092 0.00318507 0.0033260297 0.003355051 0.006717357 0.004052595 0.0037229974 0.0033446862 0.004122038 0.0032482946 0.0033042638 0.0032306744 0.0043324414 0.0033281026 0.0031156265 0.0030824593 0.0036462988 0.0029839948 0.0030731312 0.0028036493 0.004252633 0.0032721332 0.0030824593 0.0030026513 0.0037074503 0.0030078336 0.002931135 0.0029414997 0.0039748596 0.0031011158 0.002723841 0.0026461058 0.0035416153 0.0029518644 0.0035872199 0.0028834573 0.0049626147 0.0032441486 0.0033882179 0.0029715572 0.003810061 0.0030700217 0.0031964711 0.0028990044 0.0044412706 0.005443536 0.0034638802 0.003136356 0.0037996962 0.0030700217 0.0032524404 0.0031995804 0.0046133245 0.0033125556 0.003419312 0.0030513653 0.0037457997 0.00307935 0.0033146285 0.0032389662 0.0043531707 0.0030389277 0.0031861064 0.0028689469 0.004015282 0.0030938606 0.0042350134 0.004519006 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 0.004585485 0.0002926574 0.00027138268 0.0002677504 0.00030303534 0.0002407678 0.00032794234 0.00030251645 0.0003336502 0.0003486982 0.00033053683 0.00035492494 0.0005188961 0.00015722553 0.00018835929 0.0007404648 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 0.099195816 0.062023133 0.062463157 0.055310175 0.060611736 0.059569795 0.054947987 0.054459184 0.060485646 0.05315105 0.052118447 0.05294401 0.056419574 0.050529066 0.056650486 0.05386038 4020.0 5.7037315 22929.0 0.017139867 0.010423481 0.009376772 0.008678965 0.013432771 0.0125169 0.011775481 0.011513803 0.012560513 0.009682062 0.008548127 0.008635352 0.0138689 0.010597933 0.0118190935 0.009987352 0.016703738 0.011949932 0.008678965 0.0075014173 0.009812901 0.008460901 0.0078067076 0.008330062 0.010292643 0.008417288 0.009638449 0.008809804 0.011513803 0.008940643 0.009594836 0.00920232 0.018055737 0.0108596105 0.010423481 0.009115094 0.0108596105 0.008853417 0.010685159 0.008373675 0.014217802 0.011601029 0.009769288 0.008984256 0.01147019 0.009376772 0.011644642 0.009594836 0.01478477 0.009594836 0.009987352 0.008984256 0.012080771 0.009333159 0.009594836 0.009856514 0.013694448 0.009245933 0.01055432 0.00950761 0.011208513 0.009812901 0.010423481 0.010685159 0.018055737 0.010990449 0.009725675 0.00815561 0.013083868 0.008242836 0.009376772 0.008330062 0.015438964 0.009333159 0.00889703 0.008678965 0.011339352 0.008024772 0.009900127 0.008024772 0.013171094 0.007981159 0.008722578 0.008722578 0.01147019 0.009420385 0.0081119975 0.007937546 0.010903223 0.008940643 0.012037158 0.008460901 0.011339352 0.008940643 0.010030965 0.008766191 6.5545025 0.0 0.0 0.0 14.0 964814.0 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: 0.0051522325 0.003879896 0.003913391 0.0039188303 0.003920548 0.0038954506 0.0038782738 0.0038871483 0.0038918245 0.0038852398 0.0038789418 0.0038888662 0.0038825679 0.0039068065 0.0038815183 0.0039451686 0.0039244606 0.0038876256 0.00384058 0.0038884843 0.00391091 0.003930663 0.0038567071 0.0038876256 0.0038868622 0.003913582 0.003911101 0.003920357 0.0038956415 0.0038788463 0.0039069974 0.003892397 0.0039059478 0.003915204 0.0038543213 0.0038810412 0.0039019398 0.0038444924 0.0038529853 0.0038652956 0.003915872 0.0038839993 0.0038781783 0.003916254 0.003928182 0.0038801823 0.003915395 0.0038985997 0.0038944965 0.0038808503 0.003877033 0.0038994586 0.0038981226 0.003871403 0.0038735978 0.003919785 0.003908906 0.0038814228 0.0039069974 0.0038829497 0.0039413515 0.0039076656 0.0038682537 0.003875029 0.0039641587 0.0038839993 0.0039085243 0.003863864 0.003860715 0.00394555 0.003896214 0.0039601508 0.0038677766 0.003898886 0.0038852398 0.00384955 0.003865868 0.0038916336 0.003928182 0.003913868 0.0039043254 0.0038985997 0.0038650092 0.003910051 0.003903371 0.0038807548 0.0039267507 0.0039473632 0.0038991724 0.0038887707 0.003872739 0.0038874347 0.0038761743 0.0039085243 0.0039094784 0.0039296136 0.0038816137 0.0039176852 0.0039032758 0.003911387 0.003908238 0.003937248 0.0038965004 0.0038952597 0.0038943056 0.003923793 0.0039027985 0.0038669177 0.0039213113 0.0039027985 0.003974942 0.003900699 0.0039128186 0.00386854 0.0039141546 0.003921884 0.003954043 0.0040018526 0.00389421 0.0039168266 0.0039154906 0.003892874 0.0039077606 0.0039404924 0.0039058523 0.0039489856 0.0039507034 0.0039164447 0.0039235065 0.0038855262 0.003901749 0.0039215023 0.0038976455 0.0039621545 0.00391759 0.0038980271 0.003872071 0.003915777 0.0038537488 0.0039485083 0.003912914 0.0039226473 0.0038825679 0.0039126277 0.003870067 0.0038766514 0.0038625281 0.0039159674 0.0038838084 0.0038838084 0.0038926832 0.0038802777 0.0038902976 0.0038741704 0.0038606196 0.0038912517 0.0039362935 0.0039376295 0.0038863851 0.0039116736 0.0038815183 0.0038780828 0.0038775103 0.0038956415 0.0038596652 0.0038648185 0.0039191167 0.0038929696 0.0039186394 0.0038709259 0.0038822817 0.0038994586 0.0039181625 0.003903371 0.003907856 0.00391654 0.0038916336 0.0038802777 0.0039099557 0.003917399 0.0038651046 0.0039489856 0.003903085 0.003928755 0.0038887707 0.003922266 0.0039376295 0.0038959277 0.003910051 0.0038806594 0.00391988 0.003931045 0.0039018444 0.0038831404 0.0038865758 0.0039278963 0.0038960231 0.0038777965 0.0038579477 0.0038911565 0.0038848582 0.0038980271 0.0038588063 0.0038873393 0.0038739794 0.0038938285 0.0038861942 0.00395557 0.0039313314 0.0038973591 0.003865391 0.003906902 0.003873693 0.003906234 0.003899745 0.0039391564 0.003888389 0.003930282 0.0038800868 0.0039351485 0.0038884843 0.0039117686 0.0039026078 0.0039146314 0.003917208 0.003923888 0.003846687 0.0039282776 0.0038359992 0.0039064246 0.003858043 0.0039279913 0.0039705522 0.0038874347 0.0038864804 0.0039085243 0.003944596 0.0038843811 0.0038602378 0.003902226 0.0039206436 0.003900699 0.003926274 0.0038816137 0.003941733 0.0039025124 0.003899363 0.0039206436 0.003913582 0.0038956415 0.003918258 0.0039111963 0.003927228 0.003909765 0.0039134864 0.004036779 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0002158898 5.297031e-06 6.3946136e-06 3.054144e-06 5.3447516e-06 8.16029e-06 1.0212293e-05 7.1104287e-06 8.303454e-06 1.90884e-07 8.5897796e-07 1.6225139e-06 2.481492e-06 7.1581496e-07 9.5442e-07 1.6606908e-05 0.0001372933 3.1018649e-06 5.4879147e-06 3.1495858e-06 4.4380527e-06 5.440194e-06 1.1882528e-05 6.346893e-06 4.485774e-06 9.5442e-08 5.7265197e-07 8.1125694e-07 1.383909e-06 3.3404697e-07 8.5897796e-07 9.782804e-06 0.000118014024 1.3361879e-06 6.3946136e-06 2.3383288e-06 1.19302495e-05 6.1560086e-06 2.629427e-05 1.3600485e-05 1.670235e-06 5.2493095e-07 2.529213e-06 5.2493095e-07 3.3404697e-07 4.2948898e-07 9.06699e-07 2.481492e-06 0.00014774421 2.8632599e-06 1.1166713e-05 9.496479e-06 2.6007943e-05 2.0042819e-05 9.816209e-05 4.920035e-05 1.0355457e-05 5.5833566e-06 1.5747929e-06 1.1930249e-06 1.8611189e-06 1.240746e-06 1.8611189e-06 2.5769339e-06 0.00011872984 3.3881909e-06 3.3881909e-06 3.34047e-06 1.8897515e-05 1.4888951e-05 5.316119e-05 2.8489436e-05 1.9708772e-05 1.0116852e-05 1.6225139e-06 1.8611189e-06 4.008564e-06 3.34047e-06 3.054144e-06 5.201589e-06 0.000101168516 7.2058706e-06 6.2991717e-06 4.5334946e-06 9.687363e-06 7.5876387e-06 5.7265197e-06 7.396755e-06 1.03077355e-05 3.3881909e-06 4.3426107e-06 3.4836328e-06 6.012846e-06 4.1040057e-06 5.3924728e-06 8.828385e-06 0.0001025047 6.4900555e-06 1.4554905e-05 1.8277142e-05 1.3218716e-05 9.448758e-06 3.0016508e-05 2.247659e-05 1.8515748e-05 6.7763817e-06 5.869683e-06 5.3447516e-06 8.017128e-06 6.8718236e-06 8.208011e-06 1.6606908e-05 0.00013137591 2.3383289e-05 1.0164573e-05 1.5652487e-05 4.1755873e-05 3.297521e-05 1.9327004e-05 2.4480873e-05 5.783785e-05 3.5313537e-06 7.730801e-06 8.58978e-06 2.4671755e-05 1.1405318e-05 2.8823482e-05 4.6957462e-05 0.0004433758 9.56806e-05 6.132148e-05 7.291768e-05 0.00016124925 0.00013543219 7.057936e-05 0.00010551113 0.0002038641 1.5652487e-05 4.1899035e-05 2.8584878e-05 8.651817e-05 3.7174657e-05 0.00010331596 0.00019384269 0.062054142 0.06218571 0.062114272 0.06215636 0.062093988 0.062169008 0.062214963 0.06250153 0.062196687 0.062210284 0.062222883 0.06248282 0.06212835 0.06240766 0.06223911 0.062419735 48902.0 5.648992 276247.0 0.010067077 0.010733148 0.010382013 0.010150337 0.0104507925 0.010305994 0.010106897 0.010085178 0.010280655 0.010048978 0.010255315 0.010505091 0.010400113 0.010244455 0.010483372 0.010045358 0.010222736 0.010146717 0.010273415 0.010458032 0.010392873 0.010157577 0.009998298 0.010552151 0.010305994 0.010150337 0.010124997 0.010197395 0.010740388 0.010476132 0.010410973 0.009842641 0.010222736 0.010342194 0.010287895 0.010219116 0.010465272 0.010280655 0.009853501 0.010305994 0.010436312 0.010693328 0.010537671 0.010088798 0.010425452 0.010175676 0.010436312 0.010544911 0.0103892535 0.010439932 0.010667989 0.01059559 0.010277035 0.010367533 0.010718669 0.010794687 0.010313234 0.010168436 0.009748522 0.010356674 0.010157577 0.010085178 0.010128616 0.01060283 0.010117757 0.010957585 0.010555771 0.01064989 0.011073424 0.011848092 0.010255315 0.010468892 0.010114137 0.010935865 0.010367533 0.010486992 0.011634516 0.010729528 0.010765728 0.010838127 0.010486992 0.010345814 0.010943105 0.010584731 0.011189261 0.010906906 0.010371153 0.010501471 0.010313234 0.010494231 0.010175676 0.010552151 0.010407353 0.010190156 0.010349434 0.010266175 6.584255 1.0 0.0 0.0 159.0 10479147.0 1708032.0 0.0 0.0 165.0 0.0 1.0 0.0 0.0 0.0 1517284700.0 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 -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 6.0 0.0 6.0 0.0 4.0 0.0 4.0 0.0 26624.0 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 5632.0 0.0 0.0 0.0 0.0 0.0 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 -26624.0 0.0 39424.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.2355 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.037118 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.516831 0.0 7.452563 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1163264.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5274.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -462840.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -26151.0 0.0 39160.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 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 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 -1.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 1.0 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 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 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 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 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 -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 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 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 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 160.0 34312.0 39160.0 1667072.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 688.0 32768.0 0.0 0.0 0.0 0.0


Input: 0.052131694 0.0060007875 0.005286808 0.0049066064 0.0048673856 0.0042174403 0.0046336614 0.00408457 0.0042990837 0.0034098113 0.004229447 0.0041157864 0.0041502044 0.003524272 0.003932489 0.0036795547 0.0039877184 0.0035002592 0.0037043677 0.0034914548 0.003939693 0.0035178687 0.0038108244 0.0042238436 0.0038908669 0.0031464715 0.0033633867 0.0037003655 0.003798818 0.0033065565 0.0035074633 0.0034178155 0.0040821685 0.0032481253 0.0037635993 0.0034890533 0.0037740048 0.0032313166 0.0034818496 0.0032553293 0.0036331299 0.0030728322 0.0036363315 0.0038604506 0.00367075 0.003147272 0.0037275802 0.0038148265 0.004089372 0.0032185097 0.0036587436 0.0035931086 0.0035114654 0.0033009534 0.0036587436 0.0037419877 0.0037227776 0.003300153 0.003514667 0.0036723507 0.0037684017 0.0030055966 0.0032729385 0.0035162678 0.0037371852 0.0035418815 0.0038076227 0.0036667478 0.0036307287 0.0037203762 0.0037563953 0.003513066 0.003733183 0.0030039956 0.0034850512 0.0034202167 0.0034626394 0.0033513804 0.003542682 0.003258531 0.0036131192 0.0032873463 0.0034698432 0.0036467372 0.0032977518 0.0036027138 0.0037692022 0.004035744 0.0038164272 0.0030280084 0.0035082635 0.0033665884 0.0035210703 0.003241722 0.0033153612 0.0042030327 0.0038340366 0.0033793952 0.003546684 0.0033537815 0.0035971107 0.0032281147 0.003561892 0.003413013 0.0036827563 0.0031552762 0.0035779006 0.003497858 0.0037411873 0.0033025544 0.0036907606 0.0039020728 0.0037916142 0.002895138 0.0037267797 0.0034330236 0.004057355 0.0036027138 0.0034746458 0.0036787542 0.0034706437 0.0030696306 0.0031696837 0.0031848918 0.003192896 0.0028150955 0.003336172 0.0049162116 0.0040501514 0.0034578368 0.0036739516 0.0037227776 0.0036115185 0.0033898007 0.0037043677 0.003413013 0.0035722975 0.0035210703 0.0036867585 0.0043303003 0.003449032 0.0036147202 0.0035867053 0.0031992996 0.0034594378 0.003316962 0.0033257667 0.0032089045 0.0031600785 0.0030528216 0.003273739 0.0033121593 0.0030488195 0.0029279552 0.0031368663 0.003348979 0.0030944438 0.0028751274 0.003272138 0.003119257 0.0032761402 0.0031408684 0.0033625863 0.003365788 0.003220911 0.003036813 0.0033585841 0.0032217114 0.002987187 0.002872726 0.0032593315 0.0035891065 0.0033769938 0.003081637 0.0033025544 0.003573098 0.0036363315 0.0031200573 0.0031680828 0.0033898007 0.0034202167 0.0031912953 0.0033649874 0.0034218177 0.0034410278 0.0029143482 0.0032465246 0.0034418283 0.002991189 0.0029775817 0.003211306 0.0048169587 0.0040389453 0.0036867585 0.0036955632 0.003766801 0.0034522337 0.0030880403 0.003364187 0.003510665 0.0034834505 0.0031376667 0.0029967919 0.003268136 0.003145671 0.0027734733 0.003130463 0.0035827032 0.0035418815 0.0032521274 0.0032465246 0.0034482316 0.003051221 0.0030632273 0.0032769407 0.0034250193 0.00344503 0.0030608259 0.0031224587 0.0033777943 0.003198499 0.0030576242 0.0031376667 0.004020536 0.004050952 0.0034042082 0.0033217645 0.0034098113 0.0034394271 0.0027678702 0.003064828 0.0036123188 0.0038004187 0.003215308 0.0031576774 0.004079767 0.0032953506 0.0030840382 0.003098446 0.0036379325 0.004299884 0.0034474314 0.0029247536 0.0033617858 0.0037660005 0.0029999935 0.0032857454 0.0034538347 0.00446157 0.002793484 0.003819629 0.0033601848 0.004275071 0.00367075 0.0051403306 0.054109544 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0026480947 8.812295e-05 6.128551e-05 5.367489e-05 3.925477e-05 2.6837444e-05 2.843968e-05 2.483465e-05 9.493245e-05 1.2016766e-05 3.164415e-05 1.762459e-05 2.6036327e-05 2.4033532e-05 8.2915685e-05 2.1630178e-05 0.0024698458 2.9641356e-05 2.2030737e-05 3.0442474e-05 3.444806e-05 5.1672094e-05 4.165812e-05 4.3260356e-05 4.96693e-05 7.129948e-05 3.765253e-05 3.6851416e-05 6.368886e-05 3.2445267e-05 4.4061475e-05 0.00022271073 0.0045735813 9.132742e-05 7.089892e-05 9.4131334e-05 9.693524e-05 0.000102943624 9.212854e-05 8.411736e-05 0.00015181181 0.0001538146 8.491848e-05 0.00010094083 0.00011496039 7.450395e-05 0.00013258499 0.0005431578 0.0021425893 5.367489e-05 4.8067064e-05 4.3660915e-05 5.4476004e-05 6.0884948e-05 6.8095e-05 5.5677683e-05 6.0884948e-05 8.051233e-05 5.247321e-05 6.569165e-05 7.530506e-05 5.0870975e-05 8.732183e-05 0.00028119233 0.0038822165 0.00013098275 0.00012377268 0.00017384255 0.0001333861 0.00010574754 0.00024353979 0.00019787607 0.00013859337 0.00011816486 0.00010494642 0.00013458778 0.00013939448 0.0001129576 0.00018866322 0.0006340847 0.004791485 0.00019467161 0.00024113644 0.0003669119 0.00024474147 0.00026917557 0.00061966456 0.00041618064 0.00022831855 0.00028920348 0.00018025149 0.00021069396 0.0002619655 0.0002191057 0.00037572422 0.0009349044 0.006793478 0.00036010242 0.0003116348 0.0004410153 0.000442217 0.00041938512 0.0004021611 0.00041457842 0.00046625052 0.0004117745 0.0003633069 0.00048667903 0.00047986952 0.0005071075 0.0008043222 0.0024826638 0.014539085 0.0010995341 0.000986977 0.0013855331 0.0011492034 0.0012437353 0.001167629 0.0012629621 0.0014027571 0.0012092872 0.0012413319 0.0012709732 0.0012725755 0.0016290729 0.001959534 0.0049156584 0.0123832775 0.0011135536 0.001228514 0.0014940846 0.0013114297 0.0013943454 0.0012994129 0.0013570935 0.0016539076 0.0013799253 0.0015569723 0.0016563109 0.0014704516 0.0014980901 0.0017428315 0.005195649 0.0029168697 0.0010122122 0.00086881215 0.0007762831 0.0006969724 0.00065571483 0.0007242104 0.0006172612 0.000510312 0.00039895662 0.00045343264 0.0004878807 0.00053995335 0.00043060078 0.00046384716 0.000751849 0.060074616 0.054148346 0.052935857 0.051681705 0.052439164 0.05240632 0.051788654 0.05133883 0.05324789 0.04682533 0.047938485 0.04930679 0.04969934 0.048170008 0.048578978 0.09324249 5834.0 6.416695 37435.0 0.012875651 0.008922132 0.011085882 0.0100440765 0.011566715 0.008414585 0.009429678 0.008735141 0.008948845 0.008067316 0.010124215 0.011166021 0.01052491 0.010845466 0.011620142 0.013035929 0.012474957 0.010471484 0.010952317 0.012661947 0.008628289 0.010231067 0.012314679 0.010364632 0.011166021 0.01124616 0.011620142 0.010418058 0.011620142 0.008441298 0.010765326 0.010685188 0.01097903 0.010792039 0.010391345 0.011379725 0.011433151 0.009322826 0.010444771 0.009296114 0.00908241 0.008735141 0.008681715 0.008334447 0.009349539 0.008334447 0.010391345 0.010471484 0.00999065 0.009696808 0.009776947 0.012715373 0.010418058 0.009750234 0.008655002 0.010605048 0.010551623 0.008067316 0.0110324565 0.010685188 0.010845466 0.008468011 0.008841992 0.011379725 0.011112595 0.012661947 0.009670095 0.012608522 0.013436624 0.014745559 0.00999065 0.009563243 0.01097903 0.011753706 0.009696808 0.009242687 0.012421531 0.009643381 0.010337919 0.012474957 0.011566715 0.0065981033 0.01367704 0.013864031 0.01637505 0.011753706 0.010311206 0.009215974 0.009189261 0.008922132 0.008841992 0.009563243 0.006918659 0.0071590757 0.008307734 0.009028983 6.5664773 0.0 13.0 0.0 16.0 1249336.0 3350528.0 0.0 0.0 18.0 1.0 1.0 1.0 1.0 0.0 1139712.0 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 0.0 0.0 14.0 12.0 5.0 1.0 5.0 1.0 978944.0 4096.0 4096.0 3.0 1.0 0.0 2.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -978944.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 159744.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7.84297 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.7181644 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -978944.0 0.0 0.0 0.0 0.0 0.0 2207744.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 159744.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1020.0 3349300.0 158516.0 3190784.0 0.0 0.0 5712.0 1243624.0 36.0 3350320.0 0.0 0.0 0.0 0.0 0.0 0.0 24.0 3190228.0 160.0 3190260.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0


Input: 0.018471098 0.007634399 0.005435876 0.0063268235 0.00598432 0.0063618775 0.007644988 0.0073682102 0.005153256 0.003975306 0.0049600955 0.005181737 0.0044247964 0.003670047 0.0065594194 0.007892555 0.0054625315 0.006950852 0.005874047 0.0053778184 0.0058948603 0.006821227 0.0070158476 0.0070180385 0.0041392553 0.0035678071 0.005118202 0.0062833717 0.0034589947 0.004104932 0.006147904 0.007249904 0.007260128 0.007898397 0.006379404 0.0070030675 0.009548841 0.008802489 0.0054811537 0.0067927456 0.007857501 0.0077180164 0.007550781 0.00653532 0.008468749 0.009334868 0.007112975 0.0064929635 0.008108354 0.0082978625 0.005784587 0.0075843744 0.008977028 0.009166902 0.0071414565 0.007644623 0.007967409 0.008502343 0.008036786 0.0068592015 0.008462542 0.009794217 0.006763169 0.007119913 0.004377693 0.0040786415 0.0037872577 0.0035762053 0.0020378602 0.0022083817 0.0022919993 0.0028685592 0.004030443 0.0040088994 0.0019370809 0.004173213 0.0010600087 0.002480778 0.002593607 0.0015124201 0.0045704884 0.0035564876 0.0033845056 0.0045347046 0.0023464055 0.0023796335 0.0019699438 0.002826568 0.0034600901 0.0039376966 0.0019608152 0.0029456043 0.0017654639 0.0032994275 0.0029773717 0.0014372008 0.00667517 0.00681721 0.009891709 0.0058327857 0.005845566 0.003947555 0.008759038 0.006006959 0.00825222 0.0074186 0.0075051384 0.008705727 0.007501122 0.0055213193 0.00602339 0.009672989 0.008133183 0.0065338593 0.010676036 0.007566117 0.0057294504 0.0053701503 0.008895966 0.005761218 0.008447937 0.0075306986 0.0071586184 0.008671039 0.007727145 0.006681012 0.00622714 0.008497961 0.0025205784 0.0028817044 0.0014879556 0.0021287806 0.001819505 0.0022485473 0.0015339636 0.0010563572 0.0015241047 0.0013663631 0.0011392445 0.0023821895 0.0009701836 0.0024285626 0.0015252001 0.00095302187 0.001816949 0.0021583573 0.00092271506 0.0010541664 0.0009993949 0.0009475447 0.0013743963 0.0010570874 0.0015920212 0.0015719384 0.0018151233 0.0014090848 0.0013247369 0.000984059 0.0019575288 0.0019575288 0.0019348899 0.0021426561 0.0020437024 0.001335326 0.0017085016 0.0029916123 0.0028429993 0.0018446998 0.0020970132 0.002606022 0.0024311186 0.0017260285 0.0031968225 0.0028349662 0.0022532942 0.0031435115 0.0014116408 0.0023153685 0.0029185838 0.0010972532 0.002785307 0.0021046812 0.0038004029 0.0021539754 0.0027203115 0.0022576759 0.0019188237 0.0018574798 0.0025863042 0.0025417567 0.0030098695 0.002760112 0.0025041471 0.0015496647 0.0025300721 0.0022952857 0.0021397348 0.0015014659 0.0011706467 0.000945719 0.0015664612 0.0015102293 0.0019648317 0.0019111558 0.001214829 0.002055752 0.0010987137 0.0026670008 0.001686228 0.0025749847 0.0017921192 0.00252423 0.0010048721 0.0022952857 0.0014072591 0.0009059185 0.0019104255 0.0014985447 0.0014492505 0.0016942611 0.0017388085 0.001596768 0.0017493976 0.0019396369 0.0007839609 0.0017928495 0.0012973512 0.0011155102 0.0021831868 0.0010556269 0.0007609569 0.0011260994 0.0023248622 0.0007229821 0.0011315765 0.00072334724 0.0009756607 0.0010735189 0.00067295757 0.0012192107 0.0022175102 0.0010596435 0.0006342525 0.0007196958 0.00072115636 0.0016599377 0.001222497 0.0023639323 0.0011673605 0.0016310915 0.0015281213 0.0016409503 0.0014328191 0.0011841571 0.0012696004 0.005574265 0.0018705574 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00072776375 1.0960298e-06 3.6534325e-07 2.922746e-06 1.461373e-06 3.2880891e-06 6.5761783e-06 4.0187756e-06 3.6534325e-07 0.0 0.0 3.6534325e-07 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0006291211 2.0093878e-06 7.1241934e-06 2.2285938e-05 3.6351652e-05 3.470761e-06 2.8679446e-05 1.3152357e-05 1.6440446e-06 7.306865e-07 3.6534325e-07 1.461373e-06 0.0 5.480149e-07 1.2787013e-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 0.0020941475 5.6628203e-05 7.453002e-05 0.00028496774 0.00072283164 2.7948758e-05 1.4431058e-05 1.1690984e-05 5.0965384e-05 3.2880891e-06 3.6534325e-06 3.6534325e-06 3.836104e-06 6.0281636e-06 1.2787013e-06 7.1241934e-06 0.00023217563 0.0 0.0 2.922746e-06 1.6805789e-05 3.1054176e-05 5.9368278e-05 3.178486e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0008881494 1.1508312e-05 1.4065715e-05 0.000108689615 0.00025902837 2.4477997e-05 7.215529e-05 5.608019e-05 8.950909e-06 7.85488e-06 2.2285938e-05 4.932134e-06 4.384119e-06 2.3747311e-06 4.5667907e-06 6.941522e-06 0.0009186556 4.731195e-05 7.416468e-05 0.00012531273 0.00041064582 0.000356575 0.000367718 0.00018595971 2.0641894e-05 4.932134e-06 1.004694e-05 5.845492e-06 3.160219e-05 3.5072953e-05 8.402894e-06 1.589243e-05 0.0014712373 0.0003300876 0.001155946 0.0011669063 0.0009975698 0.00089710037 0.0012704812 0.0007929775 4.256249e-05 1.1873655e-05 0.00036716997 0.00036607395 1.808449e-05 2.3381968e-05 1.8449835e-05 4.8773323e-05 0.060375165 0.059575062 0.09457604 0.094430454 0.004573732 0.0046904595 0.08873493 0.08900985 7.343399e-05 5.754156e-05 0.00059587485 0.0005836358 7.946216e-05 7.471269e-05 4.8773323e-05 8.914375e-05 0.0010379402 0.00040607902 0.00071369804 0.0006857493 0.0010242398 0.0010706384 0.0004415173 0.00035383494 0.00014303188 7.1424605e-05 0.00024551066 0.0002272435 9.352787e-05 7.215529e-05 5.6628203e-05 9.07878e-05 0.001792922 0.00079023745 0.0011248918 0.0010982217 0.0019575092 0.0020773418 0.00069871894 0.0007505977 0.0005355932 0.00017682613 0.00045412165 0.00044571876 0.0003476241 0.00026523918 0.00033849053 0.0009880709 0.0068836147 0.0027526787 0.0025148403 0.0026489212 0.0061434293 0.00599236 0.0050667627 0.005562351 0.0030075056 0.001275596 0.003035637 0.0034309383 0.0029718846 0.0021502278 0.0026936757 0.006346195 0.0063940547 0.005991447 0.004179344 0.0042412695 0.009516461 0.009387678 0.0021882234 0.0021723309 0.0031998588 0.0027486598 0.009048091 0.009033842 0.0053283484 0.005317388 0.0016603024 0.0018972275 0.021647684 0.020544529 0.015841283 0.021427564 0.02136984 0.022770565 0.015461509 0.020686466 0.020868223 0.018574417 0.023348356 0.024131104 0.019738948 0.019817863 0.014120151 0.016523927 90916.0 8.197677 745300.0 0.013807863 0.01637864 0.011096203 0.014030592 0.018710587 0.017387629 0.010130149 0.012718368 0.016907286 0.015309271 0.015409902 0.013558298 0.016939487 0.019342547 0.014247954 0.01345096 0.014003756 0.016346438 0.011326983 0.016028445 0.018728029 0.017823694 0.01042399 0.0147296395 0.01552395 0.016012345 0.015530659 0.0134227825 0.016622836 0.018962834 0.013811888 0.013139675 0.005452838 0.0042077014 0.004598148 0.004552529 0.0026445726 0.0017831746 0.0025868777 0.0030350194 0.0038239635 0.00603247 0.0014423722 0.0030564873 0.00082517107 0.003110157 0.0019978532 0.00090433384 0.006298135 0.003779686 0.004942976 0.00474574 0.0028686435 0.0017804911 0.0023118206 0.00319737 0.0038709245 0.0057238694 0.0015725212 0.0029706159 0.0012867302 0.0028444922 0.0018462364 0.0015805716 0.012012612 0.012636522 0.018085334 0.010923118 0.009377432 0.007698913 0.016714076 0.010889575 0.015463572 0.015106669 0.01202603 0.014865155 0.013277874 0.010898967 0.011960285 0.018218167 0.012322554 0.011384677 0.018862203 0.011426271 0.010120757 0.006079431 0.016817389 0.011387361 0.01688045 0.014250637 0.01208775 0.014972494 0.012424527 0.010744667 0.011042533 0.015503824 6.326965 3.0 10.0 0.0 16.0 2738657.0 49152.0 1.0 0.0 90.0 0.0 1.0 0.0 0.0 0.0 1504708200.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 6.0 0.0 4.0 0.0 4.0 0.0 36864.0 4096.0 4096.0 3.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -36864.0 0.0 4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.660553 0.0 3.3088052 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3376.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -36828.0 0.0 2780.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 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 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 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 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 -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 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 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 40.0 38932.0 2780.0 45056.0 0.0 0.0 0.0 0.0 0.0 0.0 28.0 4544.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 32.0 568.0 436.0 4096.0 0.0 0.0 0.0 0.0


Input: 0.045827404 0.0058338265 0.0046070074 0.0059527094 0.005051898 0.002972065 0.0036253065 0.0042197197 0.0043079625 0.0027931284 0.0031779648 0.0027673908 0.0043496327 0.0035101008 0.0035015217 0.0046462263 0.005609543 0.003904742 0.0032613052 0.0028139635 0.0040346547 0.0034586259 0.002893627 0.0024401573 0.0043741446 0.0035542222 0.0027857749 0.003017412 0.004671964 0.004383949 0.0036547207 0.0033850903 0.0062296935 0.0035321615 0.003246598 0.003814048 0.0052994676 0.0030933989 0.0033605783 0.0033176825 0.0033544502 0.003044375 0.0034623025 0.0044979295 0.003397346 0.003780957 0.002926718 0.0023788777 0.0055262027 0.0044954782 0.0038373342 0.00423075 0.0037932128 0.0035382893 0.003180416 0.0029071085 0.0041179955 0.004251585 0.0032024768 0.0043018344 0.0042626155 0.00515975 0.0034316627 0.0034353395 0.006164737 0.0042944807 0.00348804 0.0030762404 0.0032600795 0.003892486 0.005006551 0.0036645255 0.003991759 0.0038177248 0.003394895 0.0028813712 0.0030725638 0.004517539 0.0037968897 0.0033728343 0.005679402 0.004864382 0.004728341 0.0040383316 0.003657172 0.004566563 0.0046903477 0.004109416 0.0028593105 0.0025761982 0.0033875413 0.003089722 0.003597118 0.004010143 0.0035284846 0.0030284424 0.0043496327 0.003578734 0.0031914464 0.0038434623 0.0037160006 0.003192672 0.0031130083 0.0029990282 0.0034169557 0.0036951655 0.0038777788 0.0033213592 0.0032845915 0.004054264 0.00348804 0.0031644832 0.0050984705 0.004218494 0.0044844477 0.004236878 0.0048631565 0.0045395996 0.0037907618 0.004071423 0.0033262616 0.0031326178 0.0036081483 0.0030578566 0.0035211311 0.004342279 0.0035162286 0.0032600795 0.0055176234 0.0040750997 0.003231891 0.0049232105 0.002815189 0.0035235824 0.0028960782 0.0025161442 0.0029769675 0.0051376894 0.0042074635 0.007598682 0.004402333 0.005048221 0.004224622 0.0032233119 0.0054085455 0.0041192207 0.0037932128 0.0032233119 0.0029279436 0.0034292114 0.0028617615 0.0024548643 0.0022881837 0.002468346 0.003548094 0.0024303526 0.0038030175 0.0035174543 0.0037564451 0.0029990282 0.004451357 0.0035873132 0.0027392022 0.0033348408 0.0033470967 0.0035529966 0.0027808724 0.003316457 0.0028960782 0.0032171838 0.0031791904 0.0030247655 0.0029659371 0.0045297947 0.003328713 0.0033532248 0.0039672474 0.0038250783 0.0030333446 0.0026865017 0.0034647537 0.003527259 0.0028409264 0.00316816 0.0035248077 0.0034475955 0.0027722933 0.0030039304 0.0030345703 0.0039476375 0.0026791482 0.002854408 0.005705139 0.004718536 0.003376511 0.0035088751 0.0036105993 0.0031914464 0.0038741021 0.004689122 0.0035689292 0.0033336151 0.002794354 0.0027281719 0.0030100585 0.0037282563 0.003174288 0.0034537234 0.0048251627 0.0038103713 0.0043055112 0.0037074212 0.0038826813 0.002938974 0.003328713 0.0032625308 0.0036620745 0.0028960782 0.0034243092 0.0032086046 0.0038888091 0.0037723777 0.002945102 0.0028470545 0.005419576 0.0038900347 0.0037552195 0.004155989 0.003811597 0.0031816417 0.003068887 0.003820176 0.005441637 0.004317767 0.0030983011 0.004553081 0.003741738 0.0039182235 0.0032613052 0.00309585 0.0060483054 0.0041020624 0.00369394 0.0034978448 0.0039022907 0.0036191787 0.003358127 0.003907193 0.003995436 0.003038247 0.0032110559 0.0030149608 0.0040934836 0.0036596232 0.0035186799 0.009652777 0.008805032 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0023916569 6.7560927e-06 9.827044e-06 2.456761e-06 4.299332e-06 4.913522e-06 3.0709514e-05 1.9654088e-05 2.825275e-05 2.456761e-06 2.456761e-06 1.8425708e-06 2.456761e-06 2.456761e-06 1.8425708e-06 3.6851416e-06 0.0033909443 3.6851416e-06 2.8866942e-05 1.9654088e-05 4.667846e-05 2.702437e-05 0.00015354756 9.028597e-05 2.456761e-06 2.456761e-06 6.1419024e-07 6.1419024e-07 1.2283805e-06 1.2283805e-06 4.299332e-06 0.0 0.0011178262 1.9654088e-05 1.28979955e-05 6.7560927e-06 9.212854e-06 6.1419023e-06 2.1496659e-05 1.1669615e-05 1.8425708e-06 1.2283805e-06 1.2283805e-06 5.5277123e-06 2.456761e-06 9.212854e-06 2.7638562e-05 3.0709512e-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 0.0018223025 1.2283805e-05 5.5277123e-05 6.1419023e-06 1.1055425e-05 1.5354757e-05 0.0001959267 9.765625e-05 7.308864e-05 1.7811517e-05 6.1419023e-06 3.0709512e-06 6.7560927e-06 4.299332e-06 4.913522e-06 0.00018364289 3.1323703e-05 0.00035807292 0.0014083382 0.0005417158 0.0001578469 1.4740566e-05 2.456761e-06 6.1419024e-07 6.1419024e-07 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0029831221 5.8962265e-05 0.00022417944 4.4835888e-05 0.00014310633 9.0900154e-05 0.00089856033 0.0004974941 1.4126375e-05 6.7560927e-06 1.1669615e-05 7.370283e-06 2.51818e-05 4.913522e-06 6.7560927e-06 1.3512185e-05 0.0021515083 3.5623034e-05 8.7829205e-05 4.1764935e-05 0.000151705 9.827044e-05 0.00042133452 0.00023769162 0.00010379815 4.852103e-05 1.4740566e-05 2.0882468e-05 2.1496659e-05 1.8425708e-05 2.5795991e-05 0.00029419712 0.0011313384 2.9481133e-05 7.308864e-05 7.738797e-05 7.677378e-05 3.4394656e-05 7.923054e-05 0.00058839424 3.4394656e-05 1.2283805e-06 1.2283805e-06 2.9481133e-05 5.5277123e-06 1.8425708e-06 3.9922368e-05 0.00031200866 0.003799381 0.0005275894 0.00087337854 0.00047354068 0.0006534984 0.00031753635 0.00019101317 0.00024997542 0.00032552084 0.00015293337 0.00011423939 9.581368e-05 0.00013942119 8.352987e-05 0.00017750099 0.0006301592 0.0032656495 0.0003015674 0.00035070264 0.00016644556 0.00054233 0.000390625 0.00029481133 0.0001762726 0.00032552084 0.00019469831 0.00011608196 0.00018794222 0.000116696145 0.00016583137 0.00041212165 0.0005398732 0.0012259238 0.00012160967 0.00045450078 0.00030893768 0.0003156938 0.00018425708 0.000125909 0.00013512185 0.00013635024 0.00010441234 6.5718355e-05 8.1073114e-05 6.817512e-05 6.5718355e-05 0.00014126376 0.00023892001 0.0040395292 0.0011049283 0.001107385 0.0021570362 0.0013690301 0.0009777909 0.00047415486 0.0008567954 0.0016097927 0.0008494251 0.00040659396 0.00037711282 0.00073150056 0.0003537736 0.0007560682 0.0016970077 0.0027466589 0.0017467571 0.0020526238 0.0031741352 0.0017922071 0.0015956663 0.0017553557 0.0016061075 0.0016177772 0.0010981722 0.00096612127 0.000984547 0.0011552919 0.0010987864 0.0012547907 0.0017700962 0.067714475 0.05393389 0.052039728 0.056671947 0.056461282 0.058723345 0.05155513 0.058487494 0.062122274 0.050638143 0.051970936 0.05003808 0.056194108 0.054959588 0.059744127 0.060632247 4702.0 7.330923 34470.0 0.019031042 0.008355091 0.009602553 0.009776617 0.014853496 0.0098636495 0.009341456 0.009254424 0.011807369 0.011285176 0.012416594 0.012039455 0.015056571 0.018015666 0.011952423 0.009660575 0.019988395 0.013548013 0.0111981435 0.011807369 0.011778358 0.010762982 0.009747607 0.0095735425 0.010037714 0.011720337 0.008355091 0.010762982 0.012155497 0.01932115 0.008123006 0.008558166 0.014563388 0.011343197 0.008616188 0.009399477 0.008500145 0.00989266 0.009428488 0.009718596 0.009254424 0.00989266 0.00791993 0.0070496085 0.0105308965 0.015230635 0.008064984 0.008413113 0.012822744 0.010995069 0.01183638 0.010733971 0.008442123 0.010182767 0.00910937 0.009515521 0.006991587 0.00632434 0.0065564257 0.005889179 0.009254424 0.012938787 0.0064693936 0.009515521 0.008848274 0.011778358 0.008181027 0.010124746 0.010908036 0.014447345 0.007310705 0.0073397155 0.007890919 0.011778358 0.006875544 0.007310705 0.012474616 0.01583986 0.0102407895 0.011633304 0.015375689 0.00710763 0.0145343775 0.010298811 0.013460981 0.009921671 0.0069045546 0.015259646 0.006991587 0.006962576 0.005250943 0.006092254 0.0078619085 0.014186249 0.005657093 0.006005222 6.524084 1.0 0.0 0.0 23.0 815931.0 45056.0 0.0 0.0 63.0 0.0 1.0 0.0 0.0 0.0 1024536200.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 6.0 0.0 4.0 0.0 4.0 0.0 8192.0 4096.0 4096.0 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 -8192.0 0.0 20480.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.152653 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.4220206 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.971992 0.0 4.4021106 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5378.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1360.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -8128.0 0.0 16632.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 1.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 2.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 2.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 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 -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 -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 1.0 0.0 0.0 -1.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 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 2.0 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 1.0 0.0 0.0 -1.0 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 0.0 -1.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 2.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -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 2.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -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 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 2.0 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 -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 -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 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 2.0 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 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 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 1.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 1.0 -1.0 0.0 -1.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 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 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 1.0 0.0 0.0 0.0 0.0 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 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 -1.0 -1.0 -1.0 -1.0 1.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 -1.0 0.0 1.0 0.0 -1.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 2.0 0.0 0.0 0.0 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 -1.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 1.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 -1.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 1.0 0.0 1.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 -2.0 0.0 1.0 0.0 -1.0 1.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 120.0 15496.0 16632.0 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 1080.0 12288.0 0.0 0.0 0.0 0.0


Input: 0.16883548 0.015357394 0.029991852 0.0119544035 0.0097017195 0.0038183792 0.002344549 0.0020290134 0.012389762 0.0014179128 0.0015297482 0.001126342 0.009022718 0.0022047546 0.0009785596 0.0065423697 0.03895466 0.001389954 0.0007349182 0.00062707695 0.0025242842 0.008827006 0.00070695934 0.0005432004 0.0052762334 0.0022726546 0.00078284764 0.00076687115 0.0018492779 0.0005192357 0.0006230828 0.00067500636 0.0023645195 0.0006790005 0.00224869 0.0005152416 0.0039222264 0.0045173503 0.00049127685 0.0006071063 0.001322054 0.0004074003 0.000563171 0.0012701304 0.0014059305 0.0022766488 0.0014618482 0.00077885354 0.0047889506 0.0031952965 0.0028677785 0.007784541 0.00324722 0.0024683666 0.0025762077 0.0027639314 0.00390625 0.004038056 0.0028078668 0.0045932387 0.0034509203 0.003211273 0.0030355316 0.003778438 0.007257317 0.003542785 0.0029596435 0.0028597903 0.0034189674 0.014562564 0.003015561 0.0018692485 0.0023325665 0.001290101 0.0024124489 0.0011503068 0.0019810838 0.01369584 0.0017094837 0.0010784125 0.010300837 0.003546779 0.001190248 0.003502844 0.004461433 0.0035987026 0.004733033 0.0032711849 0.0019091896 0.0040660147 0.0011742715 0.00083876535 0.0011503068 0.003910244 0.0022047546 0.0021767959 0.0012821127 0.0034149732 0.0007908359 0.0019651074 0.0040460443 0.006622252 0.0021767959 0.0009705713 0.0048169093 0.0027719198 0.007992235 0.0020729487 0.0028358256 0.0013140657 0.0025043136 0.0021049015 0.0021248723 0.00067500636 0.003075473 0.0027599374 0.010824067 0.010564449 0.0013619951 0.0014099246 0.0019371485 0.0016575601 0.00087071833 0.00079483003 0.0014458717 0.002939673 0.0015776777 0.000894683 0.0038902736 0.0008787065 0.00047530036 0.011115638 0.0030395258 0.006666187 0.0005312181 0.0005192357 0.0016975013 0.010093143 0.00084275944 0.033762302 0.0014658422 0.017993513 0.0010344773 0.0005312181 0.0034629025 0.0011103655 0.0012341833 0.0038223735 0.004373562 0.0042936797 0.0011862539 0.00047130624 0.0017733895 0.0014458717 0.0005272239 0.00065902993 0.0015896601 0.00077885354 0.0007429064 0.000694977 0.0015776777 0.001358001 0.00055118866 0.0009825537 0.0014818187 0.0005152416 0.00037944145 0.00030754728 0.0012381774 0.00038343557 0.00038343557 0.0004832886 0.0019251661 0.00048728273 0.0005591769 0.0006031122 0.0018333014 0.0003714532 0.0004992651 0.00043136504 0.002052978 0.0006670182 0.0005232298 0.0005911299 0.005056557 0.00085873593 0.00047130624 0.00047929448 0.0013739775 0.0005432004 0.0005791475 0.0005432004 0.0072692996 0.0026001725 0.0032831673 0.0036626086 0.0029676317 0.0009506007 0.0055518276 0.0026880433 0.0045812563 0.0015457247 0.000894683 0.0016735366 0.003470891 0.00055118866 0.0023685135 0.0017014954 0.0020330073 0.0006510417 0.0008148006 0.000563171 0.0016975013 0.00044334738 0.0007748594 0.00045133563 0.0022407016 0.00075089466 0.00044334738 0.0012980892 0.0020130367 0.00051124743 0.0004992651 0.00055518275 0.0025642253 0.00046731211 0.000463318 0.00047130624 0.002348543 0.0011503068 0.00079483003 0.0004233768 0.01921172 0.005036586 0.00045532975 0.0038822852 0.006350652 0.000363465 0.0005591769 0.00039941206 0.006095028 0.0016096306 0.001889219 0.00076287705 0.001953125 0.0004034062 0.0019571192 0.0015656953 0.0028198492 0.001358001 0.0006670182 0.0012182068 0.009210442 0.001290101 0.0044893916 0.064041734 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0036028323 2.009388e-05 2.2103266e-05 3.2150205e-05 0.00012860082 7.836612e-05 6.430041e-05 3.616898e-05 3.0140818e-05 8.037551e-06 1.808449e-05 2.009388e-05 1.808449e-05 2.009388e-05 1.2056327e-05 4.0187756e-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 0.0031366544 1.2056327e-05 5.626286e-05 0.000114535105 0.00015874165 5.0234696e-05 0.00035566164 0.00013864777 2.813143e-05 4.0187756e-06 1.2056327e-05 1.004694e-05 6.0281636e-06 2.009388e-05 8.037551e-06 4.0187756e-06 0.043846853 0.005057629 0.001217689 0.00028533308 0.0011031539 0.0008077739 0.0007474923 0.00026523918 0.00033958655 0.0012257266 0.00023509839 0.00027729553 0.0002310796 0.00028533308 0.00034360532 0.005459507 0.03577715 0.0041734986 0.0012719425 0.00055860984 0.0008459523 0.00054052536 0.0010509099 0.0012096515 0.00047019677 0.0011172197 0.00024112655 0.00032351146 0.00026724857 0.00078768004 0.00025921102 0.0046035075 0.011795106 0.0008760931 0.00081581145 0.00035164287 0.0004983282 0.00038781186 0.0025418757 0.0013543274 0.00019692001 0.00022103266 0.00012659143 7.836612e-05 0.000233089 0.0003174833 9.444123e-05 0.00068721065 0.012775688 0.001030816 0.0011252572 0.001450778 0.009866094 0.004746174 0.007350341 0.004910944 9.042245e-05 0.00025720164 0.000134629 0.0003958494 0.0002310796 0.00028935185 0.00018285429 0.000430009 0.012022167 0.0017602238 0.00066912617 0.00067113555 0.0023369181 0.0016316229 0.0039002218 0.0022786458 0.000466178 0.00029136124 0.00058875064 0.00057468493 0.00071534206 0.0002993988 0.00019692001 0.00040388695 0.020927774 0.0040629823 0.0037836772 0.033811968 0.0044809347 0.0038720905 0.008349007 0.005859375 0.0041373298 0.0026744953 0.0022304205 0.0026383263 0.0028051054 0.0022183643 0.002393181 0.002750852 0.00663098 0.0026101947 0.0015090503 0.0027066455 0.0013241866 0.0011493699 0.0015572755 0.0016898952 0.0020837353 0.00026724857 0.0004641686 0.00037173677 0.0005505723 0.00038379309 0.00057468493 0.00081782084 0.05037736 0.016882876 0.0052203895 0.005688577 0.014415349 0.014212401 0.00810587 0.010000723 0.031495146 0.0063898535 0.0029136124 0.0041574235 0.014483668 0.003403903 0.014393245 0.0324275 0.078125 0.03085415 0.009088461 0.011198319 0.030209137 0.024731547 0.013738185 0.017278725 0.05564196 0.015651122 0.0061989618 0.007993345 0.026375225 0.00768189 0.026632426 0.054239407 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1152.0 17.459202 20113.0 0.00875056 0.0013424153 0.0024362353 0.001143539 0.01088848 0.0060657286 0.0013921345 0.0018396062 0.003927808 0.0007457863 0.0012926962 0.0012429772 0.003977527 0.003878089 0.009098593 0.0024362353 0.01859494 0.01630786 0.013672749 0.01088848 0.015910108 0.011385671 0.01252921 0.012032019 0.016457018 0.016407298 0.014915726 0.012578929 0.016606174 0.014667131 0.014517973 0.02714662 0.05722667 0.02565505 0.005817133 0.01859494 0.019241286 0.0094466265 0.0065132002 0.005817133 0.010689604 0.0076567396 0.0025356736 0.004673594 0.011087356 0.005071347 0.003927808 0.0021379208 0.008253369 0.008849997 0.005270223 0.0144682545 0.023119375 0.004623875 0.010789042 0.005220504 0.009347188 0.0020384826 0.0076567396 0.0013921345 0.003927808 0.0012926962 0.0017898871 0.010938199 0.0038283698 0.029135386 0.0031820217 0.016954208 0.017202804 0.044946056 0.0044747177 0.006214886 0.0065132002 0.02451151 0.002883707 0.0065132002 0.02018595 0.009546065 0.01799831 0.018246906 0.009347188 0.0025853924 0.024859544 0.01680505 0.05016656 0.008999155 0.003878089 0.0032317406 0.0066126385 0.009943818 0.0019887635 0.00094466266 0.0043255608 0.0011932581 0.0017898871 0.0008452245 6.0408564 1.0 1.0 0.0 6.0 250368.0 274432.0 1.0 4.0 249.0 1.0 1.0 0.0 1.0 0.0 1541658000.0 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 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 14.0 0.0 5.0 1.0 5.0 1.0 163328.0 1024.0 4096.0 7.0 0.0 0.0 1.0 2.0 0.0 0.0 -512.0 0.0 0.0 -17408.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 61952.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2560.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -163840.0 0.0 3072.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -0.50325835 0.0 0.0 -6.6907086 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4.738833 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.5015016 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -9.082486 0.0 4.1636267 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -9.0 0.0 0.0 -17352.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 61918.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4728.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -163280.0 0.0 2856.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 -1.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 1.0 1.0 -1.0 1.0 1.0 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 1.0 0.0 -1.0 1.0 1.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 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 2.0 0.0 0.0 -1.0 0.0 1.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 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 1.0 0.0 -1.0 0.0 0.0 1.0 -1.0 0.0 0.0 -1.0 0.0 1.0 -1.0 0.0 0.0 1.0 1.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 -1.0 1.0 1.0 0.0 -1.0 1.0 0.0 2.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 -2.0 -1.0 -1.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 -1.0 -2.0 0.0 -1.0 1.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 1.0 0.0 1.0 0.0 0.0 -1.0 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 2.0 -1.0 0.0 0.0 0.0 -1.0 0.0 -1.0 1.0 1.0 0.0 -1.0 -2.0 0.0 0.0 1.0 0.0 0.0 -1.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 1.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -3.0 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 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 1.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 1.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 2.0 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 1.0 1.0 0.0 0.0 -1.0 -1.0 -2.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 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 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 1.0 0.0 1.0 0.0 3.0 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 -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 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 -1.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 -1.0 1.0 1.0 0.0 0.0 -1.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 1.0 2.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 -1.0 1.0 0.0 0.0 1.0 -1.0 0.0 0.0 1.0 2.0 0.0 1.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 -2.0 -1.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 -1.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 -1.0 -1.0 0.0 0.0 1.0 -1.0 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 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 -2.0 0.0 1.0 -1.0 0.0 0.0 1.0 1.0 1.0 -1.0 0.0 1.0 1.0 0.0 0.0 -1.0 -1.0 -1.0 1.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 -1.0 0.0 1.0 0.0 -1.0 0.0 -1.0 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 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 1.0 0.0 0.0 0.0 1.0 1.0 0.0 -1.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -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 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 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -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 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 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 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 -1.0 0.0 0.0 0.0 0.0 0.0 -2.0 -1.0 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 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 1.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 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 -2.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 2.0 0.0 1.0 -1.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 204.0 217952.0 480.0 218156.0 2856.0 249856.0 0.0 0.0 0.0 0.0 17352.0 253952.0 84.0 184000.0 0.0 0.0 0.0 0.0 24.0 184180.0 64.0 184088.0 0.0 0.0 1752.0 167936.0 0.0 0.0 0.0 0.0