Input: 0.05641856 0.008276261 0.0061569447 0.005641547 0.0057549346 0.0049622525 0.004200494 0.005419926 0.005050901 0.0056178384 0.0037428206 0.004458193 0.00494679 0.0031779443 0.004328313 0.004639613 0.005033377 0.0037634363 0.0049210205 0.0041572005 0.0043551135 0.0031861907 0.004107722 0.0038459 0.00507564 0.0033418408 0.003164544 0.0029398303 0.0041530775 0.0034428588 0.003785083 0.0037933295 0.006160037 0.0038149762 0.0034902755 0.0030264172 0.0048808195 0.004166478 0.0038397154 0.003724266 0.0047262 0.0038964092 0.003325348 0.0031057885 0.004361298 0.0037191121 0.0037170507 0.0035964474 0.005509605 0.003958257 0.0031047578 0.0029037525 0.0036809728 0.0030748646 0.00269347 0.0028697362 0.004174724 0.003310917 0.0035263533 0.003356272 0.003993304 0.003229484 0.0035057375 0.0034562591 0.0065795714 0.0039489795 0.0036211866 0.0032315457 0.0041510155 0.0032202068 0.0035469693 0.0030769263 0.004994207 0.003775806 0.0037057118 0.0035778931 0.0041159685 0.0031253737 0.0035500617 0.00345729 0.005150888 0.0036314945 0.003655203 0.0033346252 0.0039190864 0.0033851343 0.00336658 0.0035325382 0.0046375515 0.0036418026 0.0038036376 0.0035067683 0.0041108145 0.0033964731 0.0037026193 0.0037892063 0.0059044 0.0036263405 0.0033397793 0.002947046 0.004008766 0.0030604335 0.0032686542 0.0030356944 0.004968437 0.0031666055 0.0032078375 0.0030594028 0.003589232 0.0028419048 0.003102696 0.0032006218 0.004502517 0.0032861778 0.0032274225 0.0031480512 0.0038984707 0.0033449333 0.0032944242 0.0036180941 0.004610751 0.0032933934 0.0034717212 0.003154236 0.00403969 0.0031923754 0.0034717212 0.00334081 0.00862364 0.004590135 0.0040108273 0.0035304765 0.0043695443 0.0034407973 0.0030181708 0.003391319 0.0045375642 0.0038283765 0.0029686927 0.0032016526 0.0037335434 0.0028017038 0.0028522126 0.0029759083 0.00523129 0.0032037143 0.0034954294 0.003037756 0.0036603569 0.0031758826 0.0033171016 0.0032717467 0.0045571495 0.002846028 0.003057341 0.0027079012 0.0035170761 0.0032325764 0.0029985858 0.0031562976 0.0050065764 0.0034109042 0.003279993 0.0028027345 0.0037747752 0.0030264172 0.003063526 0.0031934062 0.0041355537 0.003001678 0.0031325892 0.0030202325 0.0036428333 0.0028480894 0.0029192145 0.0030439408 0.004663321 0.0031253737 0.003836623 0.0028532436 0.0035614003 0.0031604208 0.0029954934 0.003128466 0.0042499723 0.0031562976 0.0033439025 0.0031882522 0.0036624183 0.0031975294 0.0033377176 0.0033573029 0.0067104823 0.004072675 0.0037335434 0.0033439025 0.0041066916 0.0032562849 0.003299578 0.0032212378 0.0043314053 0.0033387484 0.0031171273 0.0030655875 0.0036387101 0.002992401 0.0030789878 0.0028027345 0.0042582187 0.0032727774 0.0031047578 0.0030109554 0.0037108657 0.0030336329 0.0029429228 0.0029532306 0.0039809346 0.003123312 0.0027357328 0.0026419302 0.0035366614 0.0029625078 0.0035840778 0.0028831365 0.004952975 0.0032439153 0.00339235 0.0029800313 0.003825284 0.0030758954 0.0032006218 0.0029140604 0.004438608 0.005449819 0.0034789366 0.0031418663 0.0037922987 0.0030820803 0.0032470075 0.0031913447 0.004614874 0.0033294712 0.0034253353 0.003048064 0.0037417896 0.0030903267 0.0033140094 0.003239792 0.0043540825 0.0030315712 0.0031923754 0.0028625207 0.004008766 0.0030954806 0.004219048 0.004494271 0.011618616 0.0 0.0 0.0 0.0 0.0 1.0323071e-06 3.0969213e-06 0.0 1.0323071e-06 2.0646141e-06 0.0 0.0 1.0323071e-06 0.0 1.0323071e-06 0.0020429357 4.1292283e-06 2.0646141e-06 6.1938426e-06 5.1615352e-06 1.0323071e-06 3.096921e-05 1.1355378e-05 0.0 0.0 1.03230705e-05 0.0 0.0 0.0 0.0 0.0 0.0009461094 2.5807676e-06 6.1938426e-06 1.2903839e-05 9.290764e-06 5.677689e-06 5.1615356e-05 2.2710756e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0028496836 3.5614594e-05 2.7872291e-05 1.0839224e-05 2.2194603e-05 3.458229e-05 4.232459e-05 1.8065373e-05 3.5614594e-05 5.1615352e-06 9.806918e-06 1.600076e-05 2.632383e-05 7.2261496e-06 1.7033068e-05 1.2903839e-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 0.00087591255 1.1871532e-05 1.2387685e-05 8.258457e-06 1.3419992e-05 1.600076e-05 1.3419992e-05 1.1355378e-05 1.0839224e-05 1.3419992e-05 6.709996e-06 1.3419992e-05 1.1871532e-05 1.03230705e-05 1.8065373e-05 9.806918e-06 0.0016176252 6.503535e-05 5.677689e-05 4.8518432e-05 4.7486126e-05 3.0453059e-05 2.2710756e-05 0.0005522843 2.9936906e-05 1.7033068e-05 1.9613835e-05 0.00027614215 2.0646141e-05 0.0002730452 1.6516913e-05 7.742303e-05 0.000739648 3.7163056e-05 3.4066135e-05 2.0646141e-05 2.2194603e-05 1.7033068e-05 1.39361455e-05 1.1871532e-05 1.6516913e-05 2.2710756e-05 1.909768e-05 1.754922e-05 6.709996e-06 4.645382e-06 2.2710756e-05 5.0583047e-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 0.0013125784 3.7163056e-05 4.2840744e-05 5.987381e-05 4.232459e-05 3.1485368e-05 9.135918e-05 5.832535e-05 3.922767e-05 5.7293044e-05 4.387305e-05 4.2840744e-05 7.7939185e-05 7.742303e-06 8.77461e-06 0.00016052375 0.0011639262 6.916458e-05 4.5937664e-05 4.5937664e-05 3.819536e-05 3.767921e-05 4.7486126e-05 5.987381e-05 5.213151e-05 5.0583047e-05 6.813227e-05 5.1615356e-05 7.484226e-05 1.4452299e-05 4.387305e-05 0.00025033447 0.004562281 0.00029162675 0.0002699483 0.00026943214 0.00029833676 0.00023949525 0.00033033825 0.00030607905 0.00032982213 0.00034943596 0.0003267252 0.0003499521 0.00051873433 0.00015278145 0.0001832345 0.0007355188 0.003183119 0.00027252908 0.00029936904 0.0002477537 0.00028749753 0.00028130368 0.00034169364 0.0009295925 0.0004056967 0.0003499521 0.00032311212 0.0006663542 0.0004609251 0.000433569 0.00017394374 0.00085733103 0.0022416548 0.00018116989 0.00028904597 0.00024414062 0.00029730445 0.00029369135 0.0002844006 0.0004010513 0.00044131128 0.00032156365 0.00024517294 0.00031588596 0.0004588605 0.0001610399 0.00018891219 0.0010343717 0.0003432421 5.4196124e-05 4.2840744e-05 4.490536e-05 5.4196124e-05 4.800228e-05 5.3163814e-05 5.1615356e-05 7.019688e-05 4.800228e-05 3.819536e-05 4.9034585e-05 4.4389206e-05 2.632383e-05 4.180844e-05 4.6969973e-05 0.09900909 0.062031332 0.062444255 0.055357985 0.06057836 0.05956257 0.055013195 0.05447278 0.060475647 0.05324227 0.05219448 0.05303271 0.056419194 0.050650146 0.056705143 0.053842556 4031.0 5.704292 22994.0 0.017178394 0.010437505 0.009437244 0.00874141 0.013525267 0.012525006 0.011829173 0.011524745 0.012525006 0.009741671 0.008436983 0.008610942 0.013829695 0.010524484 0.011742193 0.00987214 0.016786989 0.011916152 0.008654431 0.007523702 0.009785161 0.008480473 0.007828129 0.008350004 0.010263547 0.008480473 0.009567713 0.008871879 0.011524745 0.008958858 0.009698182 0.009219796 0.018004697 0.010915891 0.010350526 0.009045838 0.010785422 0.008915369 0.010698443 0.008263025 0.014177611 0.011568235 0.009741671 0.008958858 0.011394277 0.009350265 0.011611725 0.009567713 0.014742976 0.009611203 0.00991563 0.009176306 0.01209011 0.009393755 0.009741671 0.009828651 0.013699226 0.009263286 0.010480995 0.009567713 0.011089849 0.009785161 0.010394016 0.010654953 0.017917717 0.01095938 0.009698182 0.0081760455 0.013046882 0.008263025 0.009350265 0.008393494 0.0154823 0.009263286 0.008915369 0.008697921 0.011307297 0.0079585975 0.00991563 0.0078716185 0.01317735 0.008045577 0.008697921 0.008958858 0.011437766 0.009437244 0.008263025 0.0080020875 0.01100287 0.009002348 0.011916152 0.008610942 0.011263808 0.009089327 0.010002609 0.008697921 6.554884 0.0 0.0 0.0 14.0 970124.0 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: 0.19475748 0.0104915835 0.0063827406 0.004613216 0.011432799 0.003064222 0.0031180358 0.0034082085 0.01364233 0.0020596974 0.002222194 0.0019858354 0.008230348 0.0022897252 0.0017304835 0.023565175 0.008043583 0.0014571937 0.0013295178 0.0012292764 0.0042502363 0.0025482425 0.0011058212 0.00078399346 0.0028405255 0.00082197966 0.0008631314 0.0010003039 0.002001663 0.0009253866 0.0007354555 0.0010003039 0.00451614 0.0012735936 0.0010931591 0.0009770901 0.005199892 0.0013632834 0.00074811757 0.00079454517 0.0019953318 0.00073229 0.0007006348 0.0021251182 0.0014424213 0.0018750422 0.000933828 0.00078926934 0.003302691 0.001788518 0.0022126976 0.013828041 0.00256407 0.0018402215 0.001806456 0.0017536973 0.0029006703 0.0023773045 0.0019066974 0.0044285604 0.002661146 0.0026463736 0.002574622 0.0063225958 0.004309326 0.0026695875 0.0018243939 0.00222747 0.0033248498 0.01019508 0.0041605467 0.0020670837 0.002019601 0.004197478 0.0029080564 0.003637181 0.0045214156 0.005614575 0.0020122146 0.0010351246 0.008712563 0.0032478222 0.0013928282 0.003820781 0.0015584903 0.0052020024 0.005854099 0.004478154 0.002124063 0.005290637 0.00079032447 0.002483877 0.0019879458 0.0056937127 0.004217526 0.0036931052 0.0017916835 0.0035622637 0.0011406419 0.0022728425 0.0024923184 0.004689188 0.011007563 0.0013041936 0.004345202 0.0031697394 0.0064091203 0.0011332557 0.0021398906 0.0016112489 0.002599946 0.005443637 0.0029006703 0.0013474558 0.0049709193 0.0037796292 0.010584439 0.011329391 0.0015162834 0.0015753731 0.0018170077 0.0014846282 0.00080615206 0.0006563175 0.0012725384 0.0026442632 0.0016196903 0.002575677 0.0035432705 0.0016882767 0.00078293827 0.012632529 0.0035306085 0.007427362 0.00085680035 0.0006299382 0.0017220421 0.010910488 0.0013284626 0.034124292 0.0009021728 0.011544647 0.0006700348 0.000622552 0.0020797458 0.0005645175 0.0004431726 0.0004779933 0.0009559866 0.00072912447 0.00043684157 0.0004473933 0.0009475452 0.0011606902 0.0005413037 0.0006056692 0.00082725554 0.0006109451 0.00058140024 0.000653152 0.0012767592 0.0020238217 0.00055818644 0.0006826969 0.00084941415 0.00080298656 0.00045794502 0.0005792899 0.0010298487 0.00053602783 0.00060461403 0.00071751757 0.0009137797 0.00051597954 0.00050648296 0.00043895192 0.0016608421 0.0006320485 0.00050648296 0.0006605382 0.0011786281 0.00079665554 0.0010604487 0.000940159 0.0015131179 0.00078821415 0.00080087624 0.0006214968 0.0011322005 0.0009971383 0.0015046765 0.0017505318 0.00869779 0.003533774 0.003728981 0.0052695335 0.0035000085 0.0012862558 0.0035749257 0.0044602156 0.003484181 0.0025134217 0.0010826074 0.0011279798 0.008396011 0.0011522488 0.0019077526 0.0016407939 0.0019615663 0.0014044351 0.0012683178 0.0009865867 0.0013358488 0.00082514517 0.0011132074 0.0009211659 0.0018697664 0.001317911 0.0012957522 0.0020765802 0.001470911 0.0011311453 0.0009823659 0.0014181524 0.0029196634 0.0010710005 0.0010615039 0.0010836625 0.003533774 0.0028246979 0.008010873 0.0010952695 0.016262325 0.0026590356 0.001275704 0.0056356783 0.006452382 0.0011501384 0.0014445317 0.0020924078 0.0045583467 0.002111401 0.0025788425 0.0018328353 0.0030863807 0.002019601 0.0031539118 0.0023720285 0.0052885264 0.0030990427 0.0021082354 0.0026896356 0.005895251 0.0036931052 0.005108092 0.05240938 0.014795344 0.00012999696 5.812872e-06 2.6422147e-06 0.00012048498 2.6422147e-06 1.638173e-05 2.1137717e-05 6.341315e-06 8.983529e-06 6.8697577e-06 8.455087e-06 4.2275433e-06 2.6422147e-06 1.0040415e-05 9.511972e-06 0.04364093 0.00054376776 6.0770933e-05 4.544609e-05 0.00047242796 2.008083e-05 0.00017702837 0.00020979183 3.5934117e-05 6.3941596e-05 2.8535916e-05 4.6502977e-05 3.0121246e-05 1.4796402e-05 2.536526e-05 3.9104776e-05 0.007009267 0.00014690713 6.8697577e-06 9.511972e-06 0.0001601182 7.926644e-06 7.3453564e-05 5.284429e-05 1.4796402e-05 1.3739515e-05 1.8495502e-05 1.0040415e-05 1.2154187e-05 5.2844293e-06 1.1625744e-05 2.2723045e-05 0.0056701927 0.00016910174 6.341315e-06 1.7967059e-05 8.560775e-05 8.983529e-06 0.00032129328 0.00022934422 4.861675e-05 1.0040415e-05 1.3211073e-05 1.268263e-05 4.174699e-05 9.511972e-06 1.3211073e-05 0.00091790536 0.0041033593 7.1868235e-05 5.1787407e-05 2.4836816e-05 6.2884705e-05 6.024249e-05 4.8088306e-05 3.6991005e-05 0.00021771848 2.166616e-05 3.3820346e-05 3.0649688e-05 0.00014320803 3.1706575e-05 3.2235017e-05 0.002604695 0.0017723975 4.703142e-05 4.861675e-05 3.0121246e-05 4.4917648e-05 5.0202078e-05 0.0001786137 0.0001342245 5.9185608e-05 1.0568858e-06 1.0568858e-06 6.341315e-06 3.5934117e-05 1.0568858e-06 7.609578e-05 0.0007599009 0.004068482 5.8657162e-05 0.00018284125 2.8535916e-05 0.000100404155 5.601495e-05 0.00068380515 0.00052315847 8.877841e-05 2.0609274e-05 2.2194603e-05 4.2803877e-05 0.00014849246 2.3251489e-05 0.00019605232 0.0013316761 0.0076698205 0.000108330794 0.0002414984 0.00033080525 0.0005379549 0.00028113162 0.0012561087 0.0007070566 0.00023991308 0.000110973015 6.764069e-05 5.971405e-05 0.0002906436 9.3005954e-05 0.0018437373 0.0023954317 0.011683344 0.00023621398 0.0006785207 0.0037397905 0.0011699726 0.00036621094 0.0021829978 0.0012402555 9.564817e-05 7.873799e-05 7.292512e-05 9.776194e-05 0.0001046317 0.00032340706 0.0037017425 0.0034486183 0.013143432 0.0003915762 0.0013543991 0.0018632897 0.0025159167 0.0014659007 0.0069860155 0.003974419 0.00029857023 0.00022194603 0.0002953996 0.0002240598 0.00041429925 0.00030966755 0.0018247134 0.0025951832 0.009687415 0.00033714657 0.0011879397 0.0016619529 0.0021179991 0.001253995 0.005533854 0.0029180618 0.00038734864 0.00044864803 0.00028377384 0.00028377384 0.00037466604 0.0003482439 0.0013813497 0.0020968614 0.015397769 0.0015398826 0.0016841475 0.017378373 0.0027029854 0.0018902402 0.0047755386 0.0027637563 0.001975848 0.0016693511 0.0013665534 0.0013121237 0.0018437373 0.0018516639 0.0050941897 0.007100159 0.015087045 0.0015245578 0.0011657451 0.0028028612 0.0028435513 0.0016545547 0.006072866 0.0023795785 0.003465 0.00093640084 0.0007128695 0.0011033888 0.0023853914 0.0017184963 0.003461301 0.0067989463 0.08351882 0.013786019 0.01027663 0.012777221 0.022652762 0.027845243 0.015294195 0.019147072 0.047417182 0.0037614566 0.0037936918 0.005810758 0.028674897 0.008578214 0.020914186 0.037223518 0.052965835 0.010463698 0.00826062 0.011447659 0.019892706 0.02439821 0.010169884 0.015233953 0.03731177 0.0032541514 0.0045572915 0.0058931955 0.01949056 0.0066784616 0.018372903 0.03299439 0.0024599019 0.0013972031 0.0013575698 0.0024725844 0.0012930998 0.0012492391 0.0013512286 0.0013612689 0.0013813497 0.001443706 0.0012185894 0.0015826866 0.0014262674 0.0014030159 0.0016862614 0.0018078032 3367.0 13.777843 46390.0 0.032916576 0.0011424876 0.0025436517 0.0012933821 0.006854926 0.0034921318 0.0012502695 0.0025652081 0.0038154775 0.001983186 0.0017245096 0.0020478552 0.0035783574 0.0055615436 0.0064884676 0.0020478552 0.01133865 0.00920457 0.009571028 0.012093124 0.011899116 0.008751886 0.008062082 0.008385428 0.011101531 0.010045269 0.014356542 0.009032119 0.010541065 0.009786592 0.0097650355 0.009247683 0.008083639 0.00629446 0.0018107351 0.007523173 0.0068980386 0.0061004525 0.004957965 0.0035783574 0.004785514 0.006596249 0.0012718259 0.0013580513 0.0056908815 0.002974779 0.004074154 0.0034059065 0.014270317 0.0041603795 0.007070489 0.011230868 0.007846518 0.005949558 0.0069627073 0.009527915 0.0046346197 0.0025652081 0.0026945462 0.0031041172 0.012718258 0.0017891787 0.0028885535 0.012933822 0.0039448156 0.040051736 0.007221384 0.028971761 0.030890279 0.059646476 0.012265574 0.009053675 0.016900195 0.036085363 0.0067902566 0.003729252 0.02209528 0.016296616 0.031256735 0.03563268 0.023388661 0.004375943 0.042078033 0.03664583 0.047661133 0.018603148 0.0065531363 0.00510886 0.0072644968 0.008536322 0.0027807718 0.0011856003 0.0025867643 0.0010131494 0.0016598405 0.0014873896 5.939927 0.0 2.0 0.0 7.0 947712.0 1060864.0 1.0 9.0 250.0 1.0 1.0 0.0 1.0 0.0 1527161200.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 2.0 0.0 0.0 0.0 0.0 0.0 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 0.0 5.0 1.0 5.0 1.0 593408.0 1024.0 4096.0 9.0 0.0 0.0 1.0 3.0 0.0 0.0 -512.0 -512.0 0.0 -26112.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 226304.0 0.0 -512.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4608.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -594432.0 0.0 93696.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -0.50325835 -1.6567796 0.0 -6.6987815 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4.800512 0.0 -0.5215215 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3.3380249 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -10.8046255 0.0 5.6454926 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -9.0 -20.0 0.0 -25716.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 225924.0 0.0 -288.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -92332.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -593904.0 0.0 93328.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 -2.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 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 -1.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 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 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 -2.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 2.0 0.0 0.0 -2.0 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 -1.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -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 1.0 0.0 -1.0 -1.0 0.0 1.0 -1.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 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 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 -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 -2.0 0.0 0.0 1.0 0.0 1.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 1.0 1.0 -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 -1.0 -1.0 0.0 3.0 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 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 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 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 2.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 1.0 1.0 0.0 1.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 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 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 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 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 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 -1.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 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 -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 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 344.0 817312.0 200.0 817656.0 93328.0 937984.0 0.0 0.0 0.0 0.0 25716.0 1032192.0 56.0 809344.0 0.0 0.0 0.0 0.0 24.0 809400.0 64.0 599288.0 0.0 0.0 1036.0 598016.0 128.0 816900.0 0.0 0.0


Input: 0.14328091 0.008681494 0.004210687 0.0034440842 0.0062778876 0.003971827 0.002040939 0.0019721573 0.007929898 0.0015194489 0.0017120375 0.0015144467 0.004600866 0.0013806351 0.0012380695 0.00391305 0.006200352 0.0015144467 0.0011942994 0.0009016648 0.0024861437 0.0019946676 0.00077285554 0.0008316325 0.0023223183 0.00076034974 0.00083663483 0.0007165796 0.001628249 0.00060903013 0.0005990256 0.0005702623 0.003915551 0.0005915221 0.00065780256 0.00054775196 0.004191928 0.0013293615 0.00046896574 0.0005665106 0.0011942994 0.00065905316 0.00058902096 0.0009516878 0.0011155132 0.0023635873 0.0006828141 0.0005227405 0.0052599194 0.0025749344 0.002858815 0.01006463 0.0029701162 0.0017783181 0.0023885989 0.0014944375 0.0034991095 0.0018420974 0.0007215819 0.0014969386 0.0016832743 0.0009854533 0.0004702163 0.0005339956 0.01189172 0.0039680754 0.0049510277 0.008916602 0.003908048 0.03289013 0.0033015187 0.0027362588 0.0034178223 0.0035841486 0.002211017 0.0023785941 0.0027375093 0.004432039 0.001171789 0.0015469616 0.00915171 0.0021659965 0.0020772056 0.009855784 0.0032377394 0.01397893 0.0032552474 0.002117224 0.0019458951 0.006580527 0.0027700241 0.0032927648 0.0015819777 0.004684655 0.0024023552 0.0036416752 0.005823929 0.0043970225 0.0016732697 0.003230236 0.009227995 0.0061578327 0.0038942914 0.0015169478 0.0078298515 0.0042256936 0.0036341718 0.0013493707 0.0034115694 0.001710787 0.004367009 0.0040343557 0.0030051323 0.0016757709 0.0048509813 0.0038467695 0.010178432 0.005573814 0.001710787 0.0010704924 0.0027287551 0.0012768373 0.0005364968 0.0005965244 0.0016707686 0.0025449207 0.0010742442 0.00088415673 0.005299938 0.0011705385 0.0011005063 0.009160464 0.0031552014 0.0032615003 0.001045481 0.00062528765 0.002691238 0.015352062 0.0022572884 0.05228405 0.0012093063 0.011118865 0.0008666487 0.0006878164 0.002684985 0.00044895653 0.00073533825 0.0006528003 0.0011355224 0.0009466855 0.001528203 0.00057401403 0.0011867959 0.0005952738 0.0005052324 0.0007203313 0.0009666947 0.00048147148 0.0004702163 0.00042394502 0.0009066671 0.003365298 0.00047146686 0.0025786862 0.0014394121 0.0008266303 0.0005702623 0.00045771056 0.0010579866 0.00046271284 0.000515237 0.0004927266 0.00085664407 0.0004552094 0.0007503452 0.00066530606 0.0013393661 0.0006928187 0.0017495548 0.00054274965 0.00088790845 0.0006778118 0.0007203313 0.0015969846 0.0031852152 0.0025624288 0.004702163 0.0008328831 0.0010117154 0.0004852232 0.0008628969 0.0007228325 0.012129329 0.0011617844 0.0023123138 0.010463563 0.0044057765 0.0010704924 0.0035966544 0.0034053165 0.0018908698 0.0017845709 0.0009942073 0.0013168558 0.0017007823 0.0009029153 0.0010029613 0.00095293834 0.002906337 0.001163035 0.0030076336 0.0013681294 0.0018333433 0.00077660725 0.0016219962 0.00088540727 0.0034053165 0.00066155434 0.0010980051 0.0018070813 0.001513196 0.0007265842 0.0005690117 0.00085164176 0.0024661345 0.00066530606 0.00088790845 0.0010017108 0.0024598816 0.002458631 0.000556506 0.00070157275 0.027915342 0.0060928026 0.0011055085 0.005965244 0.0066055385 0.0010542349 0.0006878164 0.0007628509 0.007323369 0.0009879544 0.001837095 0.00092917745 0.00923925 0.0021947597 0.0041419053 0.0026224563 0.010179683 0.0030876703 0.0031076795 0.0036529303 0.015054425 0.0040406086 0.004349501 0.069700815 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0017964237 0.0 0.0 0.00052338233 0.00024758806 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.008190463 0.0 0.0 0.0034505627 0.0024796415 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00063056604 0.0 0.0 0.00037545632 0.0002776747 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0005572298 3.7608313e-06 1.817735e-05 6.7694964e-05 0.00015043325 7.6470234e-05 6.268052e-06 7.5216626e-06 1.567013e-05 0.0 0.0 1.8804157e-06 8.148468e-06 3.134026e-06 5.0144417e-06 0.00036229342 0.006162122 0.00020809933 0.00021562098 0.000556603 0.0019311868 0.00049329567 0.0024733732 0.0010762245 0.00019681684 0.00010154244 9.3393974e-05 7.584343e-05 0.00067883 0.0003842316 0.00040491615 0.0029196586 0.013465656 0.0006481166 0.00095587794 0.0021035583 0.004173269 0.0036473793 0.007040903 0.003243717 0.0004588214 0.00023818598 0.0003140294 0.00033408718 0.0021048118 0.00111634 0.0011338906 0.009085542 0.020993587 0.0013169177 0.0012467155 0.0021004241 0.0073950477 0.0025887054 0.006763228 0.003291354 0.0024175877 0.0009853378 0.0009872182 0.0013501385 0.0041018133 0.0026783387 0.002702784 0.00968414 0.020442626 0.0015789223 0.0012648929 0.0022922265 0.009529946 0.0040880237 0.005949635 0.0034449215 0.005875045 0.0014291159 0.0017983041 0.0023304617 0.0039049964 0.0017920361 0.0040892772 0.009778788 0.07485872 0.009929221 0.0073637073 0.010196241 0.04254252 0.030952895 0.021547683 0.014111892 0.05206244 0.0053516626 0.0061245137 0.009247257 0.016979527 0.0071543544 0.027754935 0.061768517 0.060947403 0.010245758 0.009222812 0.011805249 0.028441913 0.030956656 0.01787335 0.01477756 0.05039075 0.005952769 0.006557009 0.0092554055 0.021340836 0.011063112 0.025370568 0.049085114 0.00023630555 4.8264e-05 8.7125925e-05 5.2651638e-05 9.151356e-05 0.00010028883 4.3876364e-05 6.644135e-05 0.00013601672 2.9459845e-05 3.3847482e-05 2.9459845e-05 8.5245505e-05 6.0800103e-05 7.396301e-05 0.0001084373 5347.0 14.879372 79560.0 0.005882353 0.00013826044 0.0006033183 0.00010055304 0.0036199095 0.0006158874 0.00013826044 0.00018853696 0.00042735043 0.00043991956 0.0007918552 0.00062845653 0.0005404726 0.0153971845 0.0012192057 0.00050276524 0.022146808 0.016553545 0.023592258 0.011576169 0.018715436 0.013461539 0.01980895 0.010470086 0.022448467 0.0135495225 0.00089240825 0.00055304175 0.0010306687 0.00057818 0.00012569131 0.00015082957 0.0014705883 0.009213173 0.007993967 0.015673706 0.007704877 0.017420815 0.005103067 0.0033182504 0.005316742 0.019004526 0.0026520866 0.004311212 0.0073655103 0.0072021117 0.004788839 0.0099547515 0.0139391655 0.0028280544 0.006460533 0.0221091 0.014115133 0.006762192 0.006372549 0.003770739 0.0030040222 0.0057818 0.0016465561 0.0032302665 0.0012569131 0.0030165913 0.0031422826 0.023969332 0.00027652088 0.032340374 0.012845651 0.028117144 0.026520865 0.05635998 0.011211664 0.010294118 0.018878834 0.036613878 0.0067998995 0.006674208 0.02428356 0.012104073 0.039404225 0.036073405 0.017986426 0.0023504274 0.040372048 0.030027652 0.04296129 0.011299648 0.010294118 0.005605832 0.013323278 0.007214681 0.0011312218 0.00031422827 0.00059074914 0.00027652088 0.0003267974 0.00033936652 5.776956 0.0 2.0 14.0 4.0 799632.0 3952640.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 708992500.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 2.0 -1.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 25.0 4.0 0.0 4.0 0.0 1267200.0 1024.0 4096.0 8.0 2.0 0.0 1.0 4.0 0.0 0.0 0.0 0.0 0.0 -84992.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 512.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -859648.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1267200.0 0.0 0.0 0.0 0.0 0.0 0.0 -12800.0 1672192.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.569552 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -48.0 0.0 0.0 -84528.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 24.0 0.0 31073.0 0.0 0.0 0.0 0.0 0.0 -859536.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1266868.0 0.0 0.0 0.0 0.0 0.0 0.0 -12546.0 1672153.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 12546.0 2166784.0 1672153.0 2277376.0 0.0 0.0 8384.0 3898368.0 84528.0 2191360.0 0.0 0.0 0.0 0.0 0.0 0.0 24.0 2187264.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0


Input: 0.12131366 0.017049639 0.0070679444 0.005265425 0.027414666 0.007922903 0.0037277916 0.0042424896 0.014226338 0.00458275 0.0036868742 0.0036459567 0.0038074728 0.00250673 0.0024765802 0.0024378162 0.0036567245 0.0025476473 0.002511037 0.0026983956 0.0033703025 0.00230645 0.0024959622 0.0023301388 0.0027285453 0.0024701196 0.0023602885 0.002334446 0.0024701196 0.002334446 0.0023710562 0.0024098202 0.0030946485 0.0035188973 0.0023968988 0.002567029 0.033156026 0.0023904382 0.0022827608 0.0023645957 0.0024270485 0.0024658125 0.002220308 0.0023559814 0.0023904382 0.002381824 0.0049768495 0.002554108 0.0026424034 0.0025368796 0.00264025 0.002648864 0.0029051362 0.00257349 0.002691935 0.0024162808 0.0028556045 0.0022849145 0.0026144073 0.0026165608 0.0023947454 0.0024227414 0.0024162808 0.0024270485 0.0038483902 0.0042295684 0.0026854742 0.002881447 0.018972758 0.010205664 0.012369979 0.0024701196 0.0036459567 0.0031226445 0.0028900614 0.0022116937 0.0027027028 0.0026445568 0.002834069 0.002829762 0.002763002 0.002319371 0.0029805105 0.0030666522 0.0044578444 0.0028857542 0.0028383762 0.0024227414 0.0026639388 0.0025045762 0.0025950253 0.0023473674 0.0024744265 0.002319371 0.0022655325 0.006150533 0.008472058 0.005592764 0.0028168408 0.0032453968 0.0051792827 0.003940993 0.003034349 0.0031118768 0.0031334122 0.0043372456 0.002500269 0.0023904382 0.0032841607 0.0028362228 0.0036330353 0.0031075696 0.0029331322 0.0023602885 0.003615807 0.0036394962 0.004903629 0.0030041994 0.0025088834 0.0025261117 0.0026574782 0.0025454937 0.0023452137 0.002334446 0.0023452137 0.0027522342 0.0029891245 0.002849144 0.0031312588 0.0028426833 0.0029094433 0.0028383762 0.0025282654 0.0025174976 0.0023129105 0.0023753634 0.002719931 0.0051232907 0.002243997 0.0027436202 0.0024119737 0.002291375 0.0023279854 0.0021750834 0.0027436202 0.0024571982 0.0024076665 0.0023452137 0.0024851942 0.0022849145 0.0022784537 0.0022612254 0.0024141273 0.0023559814 0.0024313556 0.002220308 0.00243997 0.0023559814 0.0024507376 0.0023322925 0.0024464305 0.0023042962 0.0023322925 0.00230645 0.0024571982 0.0023236782 0.0022806074 0.0034758265 0.0023710562 0.0023021428 0.002424895 0.002381824 0.0024808873 0.0023990525 0.0023495208 0.0024227414 0.0024378162 0.0023559814 0.002401206 0.0026790136 0.0023516745 0.002220308 0.0023796705 0.0023796705 0.0035102833 0.0032863142 0.003630882 0.0022978357 0.002424895 0.0023172176 0.00223969 0.0023086034 0.00264025 0.0023365996 0.0024356628 0.002452891 0.0023602885 0.0024744265 0.005935178 0.028935071 0.0025799505 0.002500269 0.0024292022 0.0023624422 0.003182944 0.0023236782 0.0024765802 0.0022461505 0.002381824 0.002310757 0.002444277 0.0021987725 0.0024981156 0.002310757 0.0023430602 0.0023624422 0.0024765802 0.0023129105 0.0022784537 0.0023473674 0.0023645957 0.0023882848 0.0023129105 0.0034564445 0.002452891 0.0023452137 0.0024787337 0.0024292022 0.002500269 0.002448584 0.0024033596 0.002315064 0.01646172 0.0024615054 0.0021987725 0.0031657156 0.002554108 0.002519651 0.0023322925 0.002586411 0.002825455 0.0023021428 0.002405513 0.002287068 0.0023796705 0.0024421234 0.0024658125 0.002291375 0.0024162808 0.0023559814 0.002444277 0.002338753 0.0024550448 0.0023968988 0.004035749 0.016080543 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0019380013 1.1882951e-05 2.8086975e-05 1.08026825e-05 1.2963219e-05 3.4568584e-05 4.213046e-05 6.2655556e-05 1.4043488e-05 1.4043488e-05 4.321073e-06 4.321073e-06 5.4013412e-06 9.722415e-06 9.722415e-06 9.722415e-06 0.007435486 0.00010262548 0.00017176266 8.534119e-05 6.0495022e-05 0.000109107095 0.0002959935 0.00016420077 3.4568584e-05 5.0772607e-05 3.780939e-05 1.944483e-05 9.0742535e-05 2.484617e-05 3.9969924e-05 0.00012639139 0.010736786 0.00014367567 0.00023549848 0.00017932453 0.00010586629 0.00040618086 0.00043966918 0.0003672912 6.157529e-05 9.722414e-05 6.481609e-05 7.561878e-05 7.561878e-05 4.7531805e-05 8.642146e-05 0.00015123756 0.0061402447 0.0003878163 0.0003510872 0.00037269254 0.0001566389 0.00015555864 0.00075078645 0.00034136476 1.1882951e-05 1.08026825e-05 1.08026825e-05 1.7284292e-05 4.321073e-05 1.6204023e-05 4.4291e-05 3.888966e-05 0.01011023 0.00014475595 0.000741064 0.00037269254 0.0002452209 0.00037269254 0.0018429377 0.00090418453 6.2655556e-05 0.00020201017 5.7254216e-05 5.5093682e-05 0.00013935461 3.1327778e-05 0.000100464946 0.00010478602 0.00841637 0.00034676612 0.00054121437 0.00085557246 0.0017089844 0.0025472725 0.0027406407 0.0015588271 0.00010586629 5.617395e-05 3.672912e-05 4.5371267e-05 0.000119909775 3.0247511e-05 0.00048612073 0.00031543832 0.0074279243 0.00033272261 0.0002992343 0.00051744847 0.0015577468 0.0018818273 0.0015685495 0.0007713115 0.00013719407 0.00015555864 5.4013413e-05 3.1327778e-05 0.00027330787 2.8086975e-05 0.00010370575 0.00034676612 0.033741098 0.0012865994 0.006705225 0.0010824287 0.0068672653 0.0018224126 0.004499317 0.0022728844 0.0008361276 0.000636278 0.0006135924 0.00063519774 0.005928512 0.0007118968 0.0037895811 0.0060052113 0.099184826 0.0038165879 0.026522746 0.0026066874 0.031501703 0.004314591 0.011322292 0.004498237 0.006613402 0.0022361553 0.0030377144 0.004993 0.025727669 0.0032958984 0.01300859 0.011744676 0.009404816 0.0006535623 0.0034698215 0.00022253527 0.0034600992 0.0004796391 0.0016733356 0.00020849178 0.00083180657 0.00014259541 0.00033812397 0.0009852046 0.0024748945 0.00027654867 0.0013849039 0.00054229464 0.0013514155 0.000109107095 0.00030787644 6.3735824e-05 0.00043750863 0.00020092989 0.00014907702 0.0001155887 0.00048071938 6.481609e-05 5.5093682e-05 0.00010478602 0.00039537819 8.426092e-05 0.00027870922 0.00022577606 0.0010554221 0.00013827434 0.00028195002 0.00016744158 0.00027654867 0.00018796668 0.00037269254 0.00029167242 0.0002992343 0.000265746 0.00014475595 0.000132873 0.00021605365 0.00014259541 0.00019984963 0.0002517025 0.034241263 0.03403169 0.034094345 0.034603152 0.034218576 0.03414404 0.03422614 0.03442923 0.0341408 0.034449756 0.034724142 0.034246664 0.034392502 0.034213174 0.034288794 0.0342283 2558.0 9.006255 23038.0 0.01067801 0.002951645 0.0033857105 0.00238736 0.010547791 0.0041670282 0.0026912058 0.003732963 0.0030818647 0.0028214254 0.003168678 0.0036027434 0.0026477992 0.0041670282 0.02778019 0.0075527388 0.0049483464 0.006337356 0.009332407 0.006293949 0.007769772 0.0055994443 0.008985155 0.0046879067 0.0075961454 0.0029082387 0.0048181266 0.002864832 0.002864832 0.0029950517 0.0031252713 0.0030818647 0.0045576873 0.01093845 0.0060769166 0.013108777 0.010113725 0.019532945 0.0052521923 0.007248893 0.0052087856 0.013629655 0.0038631826 0.0034291171 0.0108516365 0.008160431 0.012804931 0.013021964 0.008898342 0.0035159301 0.014584599 0.013282403 0.022137338 0.010460977 0.0108516365 0.005035159 0.0072922995 0.0049483464 0.005469225 0.0029082387 0.0060769166 0.003255491 0.0026043928 0.08012848 0.003255491 0.038675234 0.00829065 0.018317562 0.027215904 0.035593368 0.010895043 0.015539544 0.007899991 0.040758748 0.0034725238 0.0055560376 0.02048789 0.014671412 0.028301068 0.019532945 0.011632955 0.0040802155 0.0265214 0.021529647 0.04661863 0.0119368 0.00590329 0.008464277 0.009332407 0.0065543884 0.0042538415 0.003819776 0.0025175796 0.0027346124 0.0036895564 0.0031252713 6.0082517 13.0 0.0 0.0 3.0 464350.0 499712.0 0.0 0.0 34.0 0.0 1.0 0.0 1.0 709.0 1542714000.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 2.0 21.0 4.0 0.0 4.0 0.0 154624.0 1536.0 4096.0 18.0 1.0 0.0 1.0 6.0 0.0 0.0 -512.0 3072.0 0.0 -512.0 0.0 -1024.0 -512.0 0.0 0.0 0.0 0.0 0.0 512.0 0.0 0.0 0.0 0.0 0.0 -13312.0 0.0 0.0 0.0 -1024.0 0.0 0.0 -2560.0 0.0 512.0 0.0 0.0 -254976.0 -2048.0 0.0 0.0 0.0 0.0 0.0 0.0 1536.0 -154624.0 -1536.0 3584.0 0.0 0.0 0.0 -512.0 0.0 0.0 0.0 0.0 -1.986295 3.1529627 0.0 -4.6355467 0.0 -4.706397 -1.2908521 0.0 0.0 0.0 0.0 0.0 4.973185 0.0 0.0 0.0 0.0 0.0 -5.9641457 0.0 0.0 0.0 -4.6135983 0.0 0.0 -4.430681 0.0 1.7401309 0.0 0.0 -7.99926 -5.425467 0.0 0.0 0.0 0.0 0.0 0.0 5.093998 -5.1577616 -4.944958 3.8639567 0.0 0.0 0.0 -2.1271112 0.0 0.0 0.0 0.0 -32.0 2801.0 0.0 -271.0 0.0 -904.0 -24.0 0.0 0.0 0.0 0.0 0.0 448.0 0.0 0.0 0.0 0.0 0.0 -13132.0 0.0 0.0 0.0 -964.0 0.0 0.0 -2456.0 0.0 5312.0 0.0 0.0 -254924.0 -1892.0 0.0 0.0 0.0 0.0 0.0 0.0 1129.0 -154448.0 -1120.0 3084.0 0.0 0.0 0.0 -224.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1120.0 430080.0 3084.0 442368.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 24.0 438272.0 0.0 0.0 0.0 0.0 152.0 430332.0 0.0 0.0 0.0 0.0


Input: 0.64375 0.016015625 0.012890625 0.00234375 0.00625 0.006640625 0.002734375 0.0015625 0.002734375 0.0015625 0.018359374 0.0015625 0.0015625 0.001953125 0.00078125 0.000390625 0.00390625 0.00234375 0.000390625 0.00390625 0.00078125 0.0 0.000390625 0.00078125 0.000390625 0.00078125 0.0 0.000390625 0.00078125 0.000390625 0.0 0.00078125 0.008203125 0.0046875 0.000390625 0.00625 0.0015625 0.002734375 0.000390625 0.000390625 0.015625 0.000390625 0.001171875 0.0 0.000390625 0.0 0.007421875 0.0 0.002734375 0.00078125 0.000390625 0.002734375 0.002734375 0.001171875 0.00078125 0.0 0.00078125 0.0015625 0.0 0.0 0.0015625 0.0 0.00078125 0.000390625 0.0078125 0.000390625 0.00390625 0.000390625 0.001953125 0.0015625 0.00234375 0.00078125 0.001171875 0.0015625 0.000390625 0.0 0.00234375 0.002734375 0.00078125 0.001171875 0.003515625 0.0 0.00078125 0.005078125 0.001953125 0.0015625 0.001171875 0.000390625 0.0 0.0015625 0.000390625 0.00078125 0.00078125 0.0 0.000390625 0.001953125 0.00078125 0.008984375 0.003515625 0.005859375 0.002734375 0.010546875 0.0015625 0.003125 0.00078125 0.0109375 0.000390625 0.0 0.00859375 0.008203125 0.00703125 0.00859375 0.00546875 0.0 0.0109375 0.005859375 0.009765625 0.00234375 0.001171875 0.00078125 0.0015625 0.0015625 0.000390625 0.0 0.0 0.0 0.00078125 0.0 0.0015625 0.0 0.000390625 0.0 0.0 0.000390625 0.0 0.0 0.000390625 0.000390625 0.0 0.0 0.001171875 0.000390625 0.0 0.00078125 0.000390625 0.0 0.0 0.0 0.000390625 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.000390625 0.0 0.0 0.0 0.000390625 0.000390625 0.0 0.0 0.0 0.00078125 0.000390625 0.0 0.000390625 0.0 0.0 0.0 0.000390625 0.0 0.000390625 0.000390625 0.00078125 0.0 0.000390625 0.000390625 0.0 0.000390625 0.0 0.000390625 0.0 0.001171875 0.0 0.0 0.000390625 0.0 0.0 0.000390625 0.0 0.000390625 0.0 0.0 0.0 0.001171875 0.000390625 0.0 0.000390625 0.0 0.0 0.0 0.000390625 0.000390625 0.000390625 0.0 0.000390625 0.0 0.000390625 0.0 0.0 0.0 0.0 0.00078125 0.001171875 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.000390625 0.0 0.000390625 0.0 0.000390625 0.0 0.0 0.000390625 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.000390625 0.000390625 0.0 0.0 0.0 0.000390625 0.0015625 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.65283203 0.020019531 0.061523438 0.020019531 0.036132812 0.025390625 0.10205078 0.05078125 0.0068359375 0.0009765625 0.0029296875 0.0048828125 0.0048828125 0.00390625 0.0034179688 0.0034179688 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 35.0 11.771428 412.0 0.016990291 0.0024271845 0.0 0.0072815535 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.041262135 0.0 0.012135922 0.0024271845 0.0 0.012135922 0.0024271845 0.0 0.0 0.0 0.0 0.009708738 0.0 0.0 0.0024271845 0.0 0.0024271845 0.0 0.0 0.0024271845 0.016990291 0.0024271845 0.0072815535 0.004854369 0.0072815535 0.0024271845 0.0 0.009708738 0.0 0.0 0.009708738 0.012135922 0.0 0.004854369 0.016990291 0.0 0.0024271845 0.02184466 0.012135922 0.004854369 0.0024271845 0.0024271845 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.012135922 0.0024271845 0.05582524 0.02184466 0.03640777 0.016990291 0.06067961 0.009708738 0.016990291 0.004854369 0.067961164 0.0024271845 0.0 0.050970875 0.050970875 0.04368932 0.050970875 0.033980582 0.0 0.067961164 0.03640777 0.058252428 0.014563107 0.004854369 0.004854369 0.009708738 0.009708738 0.0 0.0 0.0 0.0 0.0 0.0 5.0595603 0.0 0.0 0.0 1.0 2560.0 24576.0 1.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 1541356700.0 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 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 11.0 0.0 4.0 0.0 4.0 0.0 1536.0 512.0 4096.0 2.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -512.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1536.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.5849625 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.5041547 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -12.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1348.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 79.0 9452.0 0.0 0.0 0.0 0.0 0.0 0.0 12.0 16384.0 28.0 9384.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 8.0 8192.0 0.0 0.0 72.0 8200.0


Input: 0.20371015 0.0032445898 0.0022733905 0.0019140902 0.0021100722 0.0011606485 0.0015743882 0.0031052248 0.0046665478 0.0011236297 0.0013522754 0.0012194432 0.0026675318 0.0010974988 0.0017616599 0.0013043686 0.009570451 0.013875521 0.0010387043 0.0009995078 0.0013871166 0.015175534 0.0011127419 0.0009820872 0.002981103 0.0010234612 0.0009842648 0.0017246411 0.0021427358 0.001090966 0.001029994 0.0011497607 0.0019750623 0.0010408818 0.0009820872 0.001297836 0.0013980045 0.0017921459 0.0010713679 0.00096248905 0.0026130925 0.0016244724 0.0009755545 0.0009951527 0.0020273242 0.0010212837 0.0013435651 0.0009842648 0.0016092295 0.0012107329 0.0010561249 0.0018139217 0.0018988472 0.00095595635 0.0009494236 0.0016897998 0.0029048878 0.0009407133 0.0009842648 0.0009102272 0.0018335199 0.0012804153 0.00097337697 0.0011454056 0.01785831 0.0017790805 0.0014480888 0.0016745568 0.0018683611 0.0041722376 0.0011062091 0.00097119936 0.0026697095 0.002497681 0.0010082182 0.001652781 0.0019837727 0.003501544 0.0010974988 0.0011214522 0.022825362 0.014803168 0.0147574395 0.0013174341 0.002260325 0.002735037 0.0015264815 0.0012499292 0.002604382 0.0010234612 0.0009494236 0.0010800782 0.0025063911 0.0010212837 0.0010539473 0.0022015304 0.0014132475 0.0022821007 0.0015526124 0.0012477516 0.0021100722 0.0024693725 0.0018509405 0.00106048 0.0035930022 0.0018879593 0.009211151 0.0009211151 0.002702373 0.0020273242 0.0013936493 0.0016789119 0.001951109 0.00092329265 0.0022472595 0.0015656779 0.0026348683 0.0014589767 0.0016506034 0.0012085553 0.003140066 0.0010278163 0.0011497607 0.0008971617 0.0018879593 0.0012891256 0.0008579654 0.0010996764 0.007895894 0.001328322 0.0010016854 0.002441064 0.0015569676 0.015711218 0.0010321715 0.0009864424 0.0026174476 0.0039174613 0.0010060406 0.0078915395 0.0019467539 0.054850988 0.00097119936 0.0008361896 0.0021666891 0.0011758916 0.0010974988 0.0012956583 0.0012891256 0.01377753 0.001807389 0.00094724604 0.002883112 0.0017050428 0.0010953213 0.0016658464 0.0018335199 0.0010495922 0.0015918089 0.00096248905 0.0015656779 0.001297836 0.001019106 0.0009820872 0.0014437336 0.0008884514 0.0017333514 0.0009929751 0.0031836177 0.001003863 0.0010256388 0.0010974988 0.0018465853 0.0010931437 0.0009516012 0.0009581339 0.001637538 0.0009668442 0.0009907975 0.0011846019 0.0014524439 0.0010517697 0.00113234 0.0008144138 0.0051064184 0.0010713679 0.0010953213 0.001966352 0.0020055484 0.0012412189 0.0010887885 0.0010256388 0.0021688668 0.0012455741 0.001400182 0.0010800782 0.0020948292 0.0011475831 0.0009102272 0.0030072338 0.0031945056 0.0011715365 0.0011214522 0.0011040316 0.0036822828 0.0010779006 0.0017006877 0.0012129104 0.0024214657 0.0009777321 0.001400182 0.001086611 0.0017485943 0.0017072205 0.002637046 0.002260325 0.003207571 0.0010779006 0.0009929751 0.001400182 0.0023604934 0.001117097 0.001127985 0.0018705387 0.001935866 0.0008514326 0.0013457426 0.0010082182 0.0015439021 0.0012586395 0.0012216207 0.00094506843 0.003403553 0.0010583025 0.0011911347 0.0014132475 0.0023365403 0.0011040316 0.001188957 0.0016506034 0.0022625024 0.0019228006 0.0010060406 0.0012499292 0.0019053799 0.0014176026 0.036565874 0.003860844 0.005165213 0.004307247 0.0044923415 0.0055637094 0.010846511 0.0077042677 0.0077587073 0.12101667 0.085195795 0.00018242275 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0001835151 0.017346546 9.6126954e-05 9.6126954e-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 9.6126954e-05 0.008660165 0.002123532 0.00014419043 7.646462e-06 2.1847036e-06 2.0754684e-05 2.6216443e-05 9.831166e-06 4.369407e-06 3.2770553e-05 1.5292924e-05 0.0 0.0 8.738814e-06 8.738814e-06 2.9493498e-05 0.002040513 0.007625708 1.8569981e-05 1.4200573e-05 1.9662331e-05 3.2770554e-06 8.738814e-06 9.831166e-06 2.6216443e-05 0.00010049636 3.058585e-05 1.4200573e-05 1.6385276e-05 3.7139962e-05 1.8569981e-05 0.00011141988 0.00089354377 0.009388763 0.00019334626 5.1340536e-05 6.444876e-05 9.175755e-05 0.00013654397 0.00026107207 0.00017149922 0.00013763632 6.5541106e-05 4.1509367e-05 4.915583e-05 6.881816e-05 3.9324663e-05 0.00016931453 0.0047298833 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0035315733 5.570994e-05 4.4786422e-05 5.1340536e-05 4.369407e-05 4.8063477e-05 7.755698e-05 7.100287e-05 6.9910515e-05 6.226405e-05 4.4786422e-05 3.3862907e-05 6.11717e-05 5.570994e-05 2.2939388e-05 0.00019990037 0.004424025 0.00010923518 8.0834034e-05 0.00010158872 0.00027745735 4.260172e-05 4.8063477e-05 9.394225e-05 0.00035829138 5.461759e-05 5.8986996e-05 0.00034299845 0.00023813269 0.00012998986 6.663346e-05 0.00028401148 0.013239304 0.00046752655 0.00022065506 0.00048828125 0.0007340604 0.000453326 0.0009700084 0.0006838122 0.0014790443 0.00032115143 0.00016494512 0.0013392234 0.00060297817 0.00032005907 0.00038669253 0.0027374336 0.0156392 0.00037030724 0.00030039673 0.00054726825 0.00082800264 0.0008083403 0.0017324699 0.0010639506 0.0011163835 0.000947069 0.0005374371 0.00096454663 0.0007285986 0.00065868814 0.0009776548 0.006336733 0.014275946 0.001521646 0.00057020766 0.0006663346 0.0012725898 0.004504859 0.0012223417 0.0010322725 0.0073886677 0.0023048623 0.0007460763 0.001024626 0.0013239303 0.0015424007 0.0016308812 0.017137907 0.031662907 0.022228267 0.0034824174 0.0035719904 0.013500376 0.03348058 0.010807728 0.004871889 0.048736367 0.010829575 0.0027767583 0.0032038677 0.003633162 0.005821143 0.0032421001 0.08897861 0.024400955 0.014904047 0.0022753687 0.0023245246 0.010492039 0.01646502 0.007225907 0.00331638 0.027356857 0.0054289885 0.0013774557 0.0021726878 0.004167322 0.0028925475 0.00263366 0.047062885 0.0070030675 0.002468715 0.00059970113 0.00043366366 0.0034026757 0.00372055 0.0011589852 0.0006390258 0.006367319 0.0008378338 0.00033425965 0.0006510417 0.001735747 0.0011786476 0.0010038713 0.006496216 0.0011273071 0.000158391 0.00023813269 0.0001518369 0.00031241262 0.00026434913 0.00033862906 0.00023376328 0.0002785497 0.00019771568 0.0001245281 0.00013545163 0.00021300859 0.00014637514 0.00012343575 0.0004303866 0.01417108 0.01339551 0.014128478 0.013681706 0.015418545 0.014068399 0.013509114 0.012724806 0.012783793 0.015231754 0.014794813 0.013842282 0.014446353 0.014537018 0.012702959 0.014277038 960.0 9.432292 9055.0 0.005411375 0.0036443954 0.008061844 0.014688018 0.011927112 0.027167311 0.0035339592 0.002981778 0.0036443954 0.0051905024 0.0043070125 0.003423523 0.0056322473 0.0036443954 0.006515737 0.0020982882 0.0028713418 0.006405301 0.0066261734 0.016896741 0.017890668 0.00408614 0.0047487575 0.004417449 0.0038652678 0.0022087244 0.0041965763 0.003423523 0.0062948647 0.009166206 0.0047487575 0.0035339592 0.002540033 0.010049696 0.005411375 0.015129763 0.006847046 0.009387079 0.010491441 0.003975704 0.003423523 0.009718387 0.003423523 0.0043070125 0.011485367 0.009718387 0.008945334 0.009166206 0.0076200995 0.0033130867 0.0076200995 0.011264495 0.007840971 0.004417449 0.018001104 0.00496963 0.0056322473 0.0032026505 0.0060739922 0.004638321 0.005411375 0.0030922142 0.003975704 0.062175594 0.00496963 0.055328548 0.030259525 0.01170624 0.018884594 0.041634455 0.00817228 0.0070679183 0.010160132 0.0204307 0.0135836555 0.004417449 0.018663721 0.013031474 0.01634456 0.021755936 0.009497515 0.003423523 0.043291 0.016675869 0.0420762 0.0077305357 0.03268912 0.0075096632 0.007399227 0.0061844285 0.008834898 0.0020982882 0.00496963 0.009718387 0.0023191606 0.0026504693 6.0329685 1.0 0.0 0.0 5.0 459226.0 401408.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 1239744400.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 6.0 0.0 4.0 0.0 4.0 0.0 49152.0 1024.0 4096.0 4.0 0.0 0.0 3.0 4.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2048.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -48128.0 0.0 0.0 0.0 0.0 0.0 265728.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 -4.0060334 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.5237502 0.0 0.0 0.0 0.0 0.0 5.261144 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4.2419953 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 -49152.0 0.0 0.0 0.0 0.0 0.0 278528.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 65536.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 397312.0 39000.0 331776.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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: 0.028060688 0.0046331547 0.0050633517 0.004273519 0.0041784886 0.0041523124 0.0037824342 0.0041727982 0.0039798925 0.003937214 0.0038808787 0.0036930942 0.0040726466 0.0037471533 0.0036373278 0.004053868 0.00652807 0.003588959 0.0036344826 0.0035849758 0.0037107347 0.003794384 0.0037830032 0.0036617967 0.0038017815 0.0037596724 0.003897381 0.0036697634 0.0036999227 0.0036691944 0.0036561063 0.0036549682 0.0043065236 0.0035525404 0.003663504 0.0036094447 0.0037511366 0.003677161 0.0035383143 0.0035286406 0.0036344826 0.0036270851 0.0035673354 0.003650985 0.0036094447 0.003677161 0.0034916527 0.0036936633 0.003831941 0.0036800061 0.0036487088 0.0039389213 0.003664642 0.0034466982 0.0036674873 0.0035753022 0.0037352035 0.003730651 0.0037397558 0.0037704841 0.0037101656 0.0037875555 0.00362424 0.0036595205 0.0049683214 0.004601288 0.0035963568 0.0038251122 0.0037460153 0.0043713944 0.0036822823 0.0037067512 0.0036555373 0.0037505676 0.0036561063 0.003639035 0.0036606586 0.003740894 0.0036293613 0.0036225328 0.0041762125 0.0036549682 0.003624809 0.0039212806 0.0037130108 0.0040971152 0.0038939666 0.0037892626 0.00368968 0.0038837239 0.003805765 0.0038143005 0.0035963568 0.0038558408 0.003716425 0.0036953704 0.003597495 0.0038501504 0.00361229 0.0036743158 0.004109065 0.004019156 0.004028261 0.0036919562 0.0039548543 0.0037909697 0.003858117 0.0037113037 0.0039303857 0.0037522747 0.003937214 0.0039776163 0.0038034888 0.0035758712 0.003935507 0.003896243 0.00436229 0.004002654 0.0036697634 0.0036452946 0.0037613795 0.0037238225 0.0036179805 0.0037505676 0.0037977982 0.0037363416 0.0037334964 0.003653261 0.005821887 0.0037522747 0.003612859 0.0042473427 0.0037824342 0.004053299 0.003652692 0.0036054614 0.0037585343 0.004400416 0.003676592 0.006079095 0.0035417285 0.0041893004 0.0035132763 0.003561645 0.004149467 0.0035531095 0.0036817132 0.0036356207 0.0036754538 0.003639035 0.0036054614 0.003624809 0.0036839894 0.0035684735 0.0036413113 0.0035798545 0.0036925252 0.0035895281 0.0035633522 0.0036304994 0.0036162732 0.003716994 0.0036367588 0.0036726086 0.0036065995 0.0036213947 0.0036196876 0.003587252 0.0036043234 0.0036424494 0.0036697634 0.0036982156 0.003639035 0.0036555373 0.003586683 0.003652692 0.003808041 0.0036845584 0.0036470017 0.0036612276 0.003625378 0.0035576618 0.003677161 0.003928678 0.0038404765 0.00373122 0.003715856 0.0035787164 0.0036316374 0.0036322065 0.0035826997 0.0037494295 0.0044106585 0.003663504 0.0037602414 0.0044624414 0.0037329274 0.003715287 0.0038524265 0.0037369106 0.0036845584 0.0036657802 0.0036424494 0.0036965085 0.0037181322 0.0035201048 0.003612859 0.0036697634 0.0038706358 0.0036361897 0.0037573962 0.003624809 0.003651554 0.003573595 0.0036691944 0.0035679045 0.0038495813 0.00352295 0.0037124418 0.003688542 0.0036839894 0.0035553856 0.0036401732 0.0037181322 0.0036936633 0.0035804235 0.0035832687 0.003688542 0.003769915 0.0036623657 0.0035548166 0.0036009091 0.005001326 0.0039172973 0.0036703325 0.0039571305 0.0037517056 0.0035741641 0.0035462808 0.0036083066 0.0042467737 0.0035906662 0.0036304994 0.0036430184 0.003716425 0.003586114 0.003687973 0.003716994 0.0038916904 0.0037226845 0.003716994 0.0036851275 0.004187024 0.0036748848 0.0037847103 0.008903828 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0005366823 4.6408073e-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 0.00047119852 0.00011189185 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0012723784 0.00042051976 5.1248176e-06 5.40953e-06 1.081906e-05 2.2776967e-06 3.985969e-06 4.8401057e-06 4.8401057e-06 1.4235605e-06 1.4235605e-06 5.694242e-07 5.40953e-06 3.1318332e-06 3.4165453e-06 3.7012574e-06 0.004700312 0.0025236881 3.4165453e-06 4.5553934e-06 6.548378e-06 2.2776967e-06 1.9929846e-06 2.847121e-06 0.0014303935 3.131833e-05 2.2776967e-06 1.3950893e-05 1.9929846e-06 2.5624088e-06 3.1318332e-06 1.5089741e-05 0.0020903563 0.00010221164 1.6513302e-05 2.049927e-05 6.975447e-05 7.032389e-05 7.459457e-05 2.7901786e-05 0.00025510203 6.2636664e-06 1.0534348e-05 6.662263e-05 9.680211e-06 6.548378e-06 8.256651e-06 8.028881e-05 0.0017057102 2.9610059e-05 3.7012574e-05 4.4415086e-05 0.00018790999 1.5089741e-05 2.847121e-06 9.110787e-06 2.0214558e-05 1.1388484e-05 3.4165453e-06 0.00011872494 5.978954e-06 3.4165453e-06 1.1388484e-05 0.00012612746 0.0009939299 1.9075711e-05 5.978954e-05 1.5943877e-05 6.235195e-05 1.3096756e-05 0.00016911898 9.537856e-05 0.00012498861 0.0001506127 3.1318332e-06 8.826075e-06 1.2527333e-05 5.978954e-06 5.1248176e-06 9.3955e-06 0.0013501048 2.0783984e-05 5.324116e-05 1.8506287e-05 0.00015004327 0.00017709093 0.00058422924 0.00029382287 0.00014207134 1.1388484e-05 1.4520317e-05 1.3096756e-05 1.765215e-05 1.622859e-05 2.0214558e-05 3.245718e-05 0.0024647526 0.00020043732 0.00025282433 0.00011644725 0.00011900966 0.0001363771 0.00042023507 0.0002212213 8.171237e-05 0.00017538265 6.178253e-05 7.744169e-05 6.178253e-05 5.295645e-05 4.8401056e-05 0.0001739591 0.0021396114 0.00011787081 0.00017538265 0.00017481323 0.0004358942 9.537856e-05 0.0005176066 0.00028613565 8.171237e-05 4.2422103e-05 3.0179483e-05 4.46998e-05 0.00010164222 6.2921376e-05 0.00023631104 0.00012214149 0.0015610765 6.662263e-05 6.092839e-05 9.3954994e-05 0.00020072203 8.826075e-05 0.00016541773 0.0001531751 0.00012328033 9.907981e-05 0.00016086234 0.00012783574 0.0001318217 0.00012669689 8.370536e-05 0.00025510203 0.0020584685 0.000113315415 0.00011957908 0.0001765215 0.0003433628 0.00020328443 0.0003225788 0.0002681988 0.00028129556 0.000116731964 0.00016171647 0.00015858463 0.00022008245 0.00013096757 0.00016911898 0.00040400648 0.00520653 0.0004922672 0.00049824617 0.00071405794 0.001596096 0.0011844024 0.00089570426 0.0010559972 0.0022236016 0.00048628828 0.0004615183 0.0006303526 0.0011283141 0.0006539837 0.0011582088 0.002605685 0.0059718364 0.0008547057 0.0008373383 0.0011869647 0.0021771935 0.0022039562 0.0015012869 0.001633678 0.0038905907 0.00069953763 0.0008023187 0.0010292343 0.002077544 0.0011923743 0.0019596734 0.0046348283 0.05659023 0.056989398 0.05647293 0.056655716 0.056506243 0.056751378 0.056842487 0.05661756 0.056608167 0.056697 0.056524463 0.056777857 0.056786966 0.05647663 0.05646866 0.05693986 7853.0 6.197122 48666.0 0.017383799 0.008979575 0.010253565 0.008835738 0.009554925 0.008486418 0.00926725 0.008548062 0.008979575 0.009287799 0.008671352 0.008917931 0.008815189 0.00926725 0.008959027 0.010130276 0.008938478 0.0097809555 0.009801504 0.008671352 0.009123413 0.009061768 0.010212469 0.009061768 0.009493281 0.009554925 0.009472732 0.009226154 0.009719311 0.009123413 0.010274113 0.008938478 0.010006987 0.011897423 0.009534378 0.011404266 0.0116508445 0.011507007 0.009842601 0.01123988 0.008548062 0.011219332 0.008959027 0.009246702 0.009205606 0.010171372 0.009637118 0.009822052 0.011157687 0.00926725 0.009308347 0.010459048 0.010294662 0.00996589 0.0109522045 0.010274113 0.010685078 0.010541241 0.009534378 0.009328895 0.008856285 0.01111659 0.010027534 0.010274113 0.008260387 0.014589241 0.009185057 0.011157687 0.011691941 0.019479718 0.010027534 0.009822052 0.010541241 0.014260469 0.010048083 0.0116508445 0.014671434 0.011219332 0.014322114 0.01600707 0.0104795955 0.009411088 0.017055029 0.013705667 0.01621255 0.01123988 0.009657666 0.009349443 0.011280976 0.009883697 0.009082316 0.008486418 0.009123413 0.008424773 0.009596022 0.009349443 6.5590825 1.0 1.0 0.0 22.0 1757334.0 212992.0 0.0 0.0 135.0 0.0 1.0 0.0 1.0 0.0 1270918700.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 -1.0 -1.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 6.0 0.0 2.0 25.0 5.0 0.0 5.0 0.0 87040.0 1024.0 4096.0 9.0 3.0 0.0 2.0 4.0 0.0 0.0 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 -3072.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3584.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -83968.0 -4096.0 68096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0825517 -6.039123 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.738959 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.4825315 -5.042266 5.1105003 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -8.0 0.0 0.0 -6468.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 24.0 -2868.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 22292.0 0.0 0.0 -3484.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -83596.0 -3998.0 67684.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 1.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 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 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 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 -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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 3.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 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 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 -3.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 1.0 2.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 -1.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 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 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 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 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 3998.0 122880.0 67684.0 143360.0 0.0 0.0 0.0 0.0 0.0 135168.0 0.0 0.0 0.0 0.0 0.0 0.0 24.0 131072.0 0.0 0.0 0.0 0.0 588.0 123728.0 0.0 0.0 0.0 0.0