Input: 0.05657602 0.008295225 0.0061679264 0.005647989 0.0057544573 0.0049605966 0.0041987794 0.005422648 0.0050474247 0.0056200796 0.0037491317 0.004459265 0.0049471585 0.0031754433 0.004326955 0.0046349894 0.005041223 0.0037584347 0.00494199 0.0041626007 0.0043631336 0.0031754433 0.0041067824 0.0038349265 0.00508257 0.0033522013 0.0031661403 0.0029304628 0.004149163 0.0034338615 0.0037863438 0.0037935798 0.0061761956 0.0038204552 0.0034886461 0.0030193587 0.0048841047 0.0041595 0.0038411287 0.0037222563 0.004731121 0.0038959133 0.00333773 0.003103086 0.0043641673 0.0037150206 0.0037243236 0.0035847777 0.0055280826 0.0039548324 0.003093783 0.0028963515 0.0036798755 0.0030824128 0.0026916843 0.0028705096 0.0041719037 0.0033129219 0.003514488 0.0033511675 0.00400755 0.0032250595 0.0035010502 0.003460737 0.006600002 0.003964136 0.003625091 0.003224026 0.0041646683 0.0032178238 0.0035351615 0.0030669076 0.0049957414 0.0037770409 0.0037067512 0.0035847777 0.00413986 0.0031247933 0.0035630707 0.0034628042 0.00516423 0.0036219899 0.0036509328 0.003333595 0.0039269235 0.0033863126 0.003362538 0.0035372288 0.0046504945 0.0036488655 0.003808051 0.0035062185 0.0041047153 0.0033801105 0.003688145 0.0037822092 0.005909508 0.003631293 0.0033408308 0.002958372 0.004014786 0.0030503687 0.0032767432 0.003030729 0.0049719666 0.0031640728 0.003195083 0.0030534698 0.003574441 0.00285087 0.0030989514 0.0031909484 0.0045078476 0.0032860462 0.0032250595 0.0031402984 0.0038835092 0.0033294605 0.003290181 0.0036271582 0.0046277535 0.0032922484 0.003473141 0.0031754433 0.0040375264 0.003198184 0.0034628042 0.0033449656 0.008632203 0.004598811 0.0040127183 0.0035258583 0.0043631336 0.0034472991 0.0030224596 0.0033925145 0.0045491946 0.0038369938 0.002967675 0.0031764768 0.0037284582 0.0027991864 0.002844668 0.0029842136 0.005224183 0.0032095544 0.0034907134 0.0030224596 0.0036726398 0.00318578 0.003311888 0.0032684738 0.0045429925 0.0028384659 0.0030441668 0.002695819 0.0035124207 0.0032302279 0.0029842136 0.0031547698 0.0050133136 0.0034152553 0.003270541 0.0027981526 0.0037739398 0.003015224 0.0030545036 0.00318578 0.004134692 0.0029976515 0.0031258268 0.003015224 0.0036519666 0.0028384659 0.0029180588 0.0030420995 0.004663932 0.0031175576 0.003843196 0.0028498364 0.0035599696 0.003160972 0.00298318 0.0031330627 0.004257699 0.003153736 0.003334629 0.0031785443 0.0036509328 0.0031961168 0.0033284267 0.0033428983 0.006708537 0.0040633683 0.003726391 0.00333773 0.0041233213 0.003258137 0.0033046524 0.0032312616 0.004325921 0.0033325616 0.0031206587 0.003072076 0.0036364614 0.00298318 0.003078278 0.0027971189 0.0042556315 0.0032788105 0.0031020525 0.0030028198 0.0037139868 0.0030224596 0.002938732 0.002945968 0.0039703376 0.0031206587 0.0027330313 0.0026368997 0.003536195 0.0029480353 0.003589946 0.002878779 0.0049440577 0.0032498676 0.0033956156 0.002970776 0.0038111522 0.0030731095 0.0032023187 0.0029097893 0.0044509955 0.0054536583 0.0034752083 0.0031309952 0.003795647 0.003093783 0.0032446992 0.0031785443 0.004605013 0.003325326 0.003413188 0.0030410658 0.0037398287 0.0030958503 0.003325326 0.0032415984 0.0043496955 0.0030483014 0.0031816452 0.0028581056 0.004016853 0.003103086 0.004225655 0.004506814 0.011655579 0.0 0.0 0.0 0.0 0.0 1.0355913e-06 3.1067736e-06 0.0 1.0355913e-06 2.0711825e-06 0.0 0.0 1.0355913e-06 0.0 1.0355913e-06 0.002049435 4.142365e-06 2.0711825e-06 6.2135473e-06 5.177956e-06 1.0355913e-06 3.1067735e-05 1.1391503e-05 0.0 0.0 1.0355912e-05 0.0 0.0 0.0 0.0 0.0 0.00094911933 2.588978e-06 6.2135473e-06 1.294489e-05 9.320321e-06 5.6957515e-06 5.177956e-05 2.2783006e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0028587496 3.5727895e-05 2.7960963e-05 1.0873708e-05 2.226521e-05 3.4692304e-05 4.245924e-05 1.8122846e-05 3.5727895e-05 5.177956e-06 9.838116e-06 1.6051663e-05 2.6407575e-05 7.2491384e-06 1.7087255e-05 1.294489e-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 0.0008786991 1.1909298e-05 1.2427095e-05 8.28473e-06 1.3462685e-05 1.6051663e-05 1.3462685e-05 1.1391503e-05 1.0873708e-05 1.3462685e-05 6.7313426e-06 1.3462685e-05 1.1909298e-05 1.0355912e-05 1.8122846e-05 9.838116e-06 0.0016227714 6.5242246e-05 5.6957517e-05 4.8672788e-05 4.7637193e-05 3.054994e-05 2.2783006e-05 0.0005540413 3.0032144e-05 1.7087255e-05 1.9676232e-05 0.00027702065 2.0711825e-05 0.00027391387 1.656946e-05 7.766934e-05 0.0007420011 3.7281283e-05 3.417451e-05 2.0711825e-05 2.226521e-05 1.7087255e-05 1.39804815e-05 1.1909298e-05 1.656946e-05 2.2783006e-05 1.9158437e-05 1.760505e-05 6.7313426e-06 4.6601604e-06 2.2783006e-05 5.074397e-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 0.0013167543 3.7281283e-05 4.2977033e-05 6.006429e-05 4.245924e-05 3.1585532e-05 9.164982e-05 5.85109e-05 3.9352464e-05 5.747531e-05 4.4012624e-05 4.2977033e-05 7.8187135e-05 7.766934e-06 8.802525e-06 0.00016103443 0.001167629 6.938461e-05 4.608381e-05 4.608381e-05 3.8316874e-05 3.779908e-05 4.7637193e-05 6.006429e-05 5.2297357e-05 5.074397e-05 6.834902e-05 5.177956e-05 7.508036e-05 1.4498277e-05 4.4012624e-05 0.00025113087 0.004575242 0.0002920367 0.0002733961 0.00026614693 0.00030549942 0.00023818598 0.000329318 0.00030394603 0.00032569343 0.0003515832 0.00032465783 0.0003531366 0.0005188312 0.00015740986 0.0001879598 0.0007409655 0.0031932455 0.0002733961 0.00030032144 0.00024854188 0.00028841215 0.0002821986 0.0003427807 0.0009325499 0.00040698735 0.00035106542 0.00032414004 0.0006684741 0.00046239147 0.0004349483 0.00017449712 0.00086005847 0.0022487864 0.00018174626 0.00028996554 0.00024491732 0.00029825026 0.0002946257 0.00028530537 0.0004023272 0.00044271525 0.00032258665 0.00024595292 0.00031689092 0.0004603203 0.00016155223 0.00018951319 0.0010376624 0.00034433408 5.436854e-05 4.2977033e-05 4.504822e-05 5.436854e-05 4.815499e-05 5.3332948e-05 5.177956e-05 7.04202e-05 4.815499e-05 3.8316874e-05 4.919058e-05 4.453042e-05 2.6407575e-05 4.1941443e-05 4.71194e-05 0.099125236 0.062024146 0.062453914 0.05532853 0.060622472 0.059531994 0.054972287 0.054465365 0.060471795 0.05317295 0.052158587 0.052960653 0.056438684 0.050590184 0.056680497 0.053859543 4039.0 5.702649 23033.0 0.01723614 0.01055008 0.009464681 0.008596362 0.01345895 0.012460383 0.01185256 0.011505231 0.012503799 0.009768593 0.008552946 0.008813442 0.013806278 0.010506664 0.011722311 0.00989884 0.016671732 0.0119393915 0.00872661 0.0075109624 0.00989884 0.008596362 0.007945122 0.0083792815 0.010202752 0.008466114 0.009594929 0.008900274 0.011418399 0.008987105 0.009594929 0.009334433 0.018191291 0.010810576 0.010376416 0.009030522 0.010853992 0.008813442 0.0107237445 0.00829245 0.014240437 0.0116354795 0.009725177 0.008987105 0.011505231 0.009334433 0.0116354795 0.009551513 0.014718013 0.009551513 0.009942257 0.009073937 0.012113055 0.009421265 0.009508097 0.009725177 0.01367603 0.009291017 0.01055008 0.009508097 0.011114488 0.009768593 0.010376416 0.010636913 0.017887378 0.01098424 0.009638345 0.008162202 0.01302479 0.008205618 0.009334433 0.00829245 0.015369253 0.009247601 0.008900274 0.0086831935 0.011418399 0.008162202 0.010072505 0.007814874 0.013111622 0.007988539 0.0086831935 0.008770025 0.011418399 0.009377849 0.0083792815 0.007988539 0.011114488 0.008813442 0.011895975 0.00850953 0.011374984 0.008987105 0.010072505 0.008770025 6.5548606 0.0 0.0 0.0 14.0 967424.0 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: 0.09493292 0.010085333 0.0058927992 0.0072617303 0.017116 0.0049017044 0.003839402 0.0032828194 0.011945452 0.0023222424 0.0020621163 0.0019138881 0.0075116837 0.0033554803 0.0018513998 0.0075233094 0.0078081405 0.0021013531 0.0015360514 0.0013878231 0.0064057847 0.003839402 0.0016929989 0.0013587589 0.0054234094 0.0012846447 0.0013151623 0.0016929989 0.004397438 0.0015941801 0.0014081682 0.0018848238 0.004298619 0.0011640276 0.0012802851 0.0016421364 0.030344645 0.001200358 0.001066662 0.0011218843 0.0033089775 0.0013151623 0.0013195219 0.003045945 0.0027843658 0.0014154343 0.0012773786 0.0012555803 0.0031883602 0.0016523089 0.0014968145 0.0068969727 0.0025692894 0.0014706566 0.001406715 0.0013805571 0.002800351 0.0029776436 0.0016944523 0.0062633697 0.0024573917 0.0022030785 0.0016450428 0.0015883673 0.0036664691 0.0023454938 0.0016305106 0.0016842796 0.010105678 0.006824312 0.00575765 0.0024762836 0.003785633 0.0027393159 0.006604876 0.004422142 0.0071353004 0.0038103375 0.0026855469 0.0017816452 0.012409029 0.0059625534 0.0040254137 0.0049700057 0.004625593 0.004012335 0.0076293945 0.005391439 0.0034165154 0.0043407623 0.0012817383 0.003133138 0.0034877232 0.0039556595 0.0059291297 0.0040413993 0.0015767416 0.0010768345 0.00096784317 0.0013921829 0.004638672 0.0018078032 0.0038582939 0.0011611212 0.0052083335 0.0015534901 0.0071570985 0.0012352352 0.0024719238 0.0014910017 0.0016828264 0.0016363235 0.0023440407 0.0014415922 0.0034092495 0.002133324 0.011577788 0.009964716 0.002179827 0.0018659319 0.002453032 0.0013602121 0.0012948172 0.0015186128 0.003605434 0.003019787 0.0028846378 0.0023295085 0.0034354073 0.0020214263 0.00096929644 0.016283307 0.0048828125 0.0070815315 0.0030357724 0.0012076242 0.003425235 0.018121628 0.0020897274 0.04021054 0.0025678363 0.014081682 0.0015433176 0.001566569 0.0014633905 0.0010128929 0.0011785598 0.0011117117 0.0017424084 0.0013224283 0.0012119839 0.0010564895 0.0013180687 0.0012642996 0.0011916388 0.0012076242 0.0015171596 0.0011509487 0.0015389578 0.0015258789 0.00125994 0.0033554803 0.0010245187 0.002105713 0.0016159784 0.0013282413 0.0011640276 0.0012817383 0.0015244257 0.0012570336 0.001399449 0.0012846447 0.0017177036 0.0013195219 0.0011276972 0.0013907297 0.0015854609 0.0011247908 0.0011480423 0.0010913668 0.0018179758 0.0014139811 0.0023425873 0.0021158855 0.0027393159 0.0014779227 0.0016276041 0.0014110747 0.0017947243 0.0017002651 0.0015709286 0.0014285133 0.007146926 0.0037681942 0.004526774 0.0048769997 0.008332752 0.0015956333 0.0054815384 0.007918585 0.0026099796 0.0025939941 0.0014648438 0.0017816452 0.02588472 0.0014343262 0.0024820964 0.0022641136 0.0022437687 0.0019022623 0.0024690174 0.0019429525 0.001813616 0.0014256069 0.0015215193 0.0018761044 0.0020999 0.001646496 0.0014968145 0.0025562104 0.0018470401 0.0016203381 0.0013296945 0.0014139811 0.0022481282 0.0011843727 0.0012410482 0.0014081682 0.00197347 0.001373291 0.0011276972 0.0011204311 0.017841157 0.0030633835 0.001546224 0.0053376695 0.0042012534 0.0016842796 0.0016653879 0.0014256069 0.0032028924 0.0027364094 0.0017017183 0.0017206101 0.0023614792 0.0016087124 0.0037289574 0.0028352283 0.0042303177 0.0023963565 0.0020359585 0.002579462 0.0042041596 0.0023687454 0.004147484 0.033618744 0.002980626 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0013018408 2.4013832e-05 1.3826146e-05 2.9107675e-06 3.492921e-05 8.00461e-06 5.2393814e-05 2.0375373e-05 6.549227e-06 3.6384595e-06 1.4553838e-06 4.366151e-06 6.549227e-06 7.276919e-07 3.6384595e-06 5.0938434e-06 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.000932901 4.1478437e-05 0.0003769444 0.00051011203 0.00016300299 7.20415e-05 0.00036384593 0.00023213371 9.605533e-05 5.821535e-06 3.6384595e-06 1.0187687e-05 4.5844587e-05 8.00461e-06 3.420152e-05 8.4412255e-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 0.000732058 5.5304583e-05 0.0003332829 0.0003332829 0.00019574912 8.0773796e-05 0.00058579195 0.00031800134 2.4741525e-05 3.3473825e-05 3.2746135e-05 3.056306e-05 2.9835366e-05 3.492921e-05 4.1478437e-05 0.000118613774 0.0020833819 0.00026051368 0.000394409 0.00018410604 0.00038131056 0.0004664505 0.00017610143 0.00032891674 0.0011235563 7.276919e-05 7.20415e-05 0.00014117222 0.0011774055 0.000117886084 0.00021757987 0.00025396448 0.10454604 0.018928722 0.02749802 0.014253301 0.03173828 0.037783947 0.013270189 0.020664265 0.06649794 0.0038480347 0.0048740804 0.0060296548 0.045127083 0.006763168 0.017901948 0.031840157 0.06029 0.013310212 0.016440742 0.012113159 0.021651017 0.025633674 0.0093821315 0.0164291 0.042358216 0.003049029 0.0040656147 0.0047649266 0.02441188 0.006359299 0.015285895 0.026988637 0.012642919 0.01255414 0.012694585 0.014035721 0.013320399 0.014668813 0.014946063 0.015380495 0.012592708 0.013829056 0.015141812 0.015444532 0.013483403 0.015964104 0.015025382 0.01629375 2792.0 6.7041545 18718.0 0.032428678 0.0035794422 0.006678064 0.0030986217 0.054866973 0.0036328668 0.004113687 0.0028849237 0.0083876485 0.0032054707 0.0037397158 0.004808206 0.014317769 0.004808206 0.005021904 0.007853403 0.015599958 0.008868469 0.006090394 0.008868469 0.011272572 0.006464366 0.0051821778 0.0065712146 0.009242441 0.016561598 0.008120526 0.009990384 0.013890373 0.0059301206 0.0068383375 0.004167112 0.006784913 0.0057698474 0.0042205364 0.006090394 0.02249172 0.0051821778 0.010257506 0.004327385 0.007799979 0.005662998 0.012875307 0.003045197 0.015439684 0.0059301206 0.0036862912 0.0049684797 0.03461908 0.018057484 0.012661609 0.041991666 0.013943797 0.017576665 0.034993056 0.025750615 0.004594508 0.014745165 0.00272465 0.014852014 0.0067314883 0.015599958 0.016080778 0.014852014 0.0036328668 0.008334224 0.004808206 0.008494497 0.009349289 0.014104071 0.009669837 0.005662998 0.015599958 0.011967091 0.016561598 0.0038999894 0.013142429 0.006678064 0.00983011 0.013997222 0.009295865 0.0028849237 0.01586708 0.009723261 0.02735335 0.013462977 0.0050753285 0.004915055 0.006678064 0.0031520461 0.00272465 0.0036328668 0.007960252 0.002831499 0.0027780745 0.0045410832 6.192624 0.0 9.0 0.0 6.0 688128.0 843776.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1318408800.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 8.0 0.0 4.0 0.0 4.0 0.0 651264.0 4096.0 4096.0 5.0 0.0 0.0 1.0 2.0 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 94208.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -16384.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -651264.0 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 0.0 0.0 7.8134685 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7.0413957 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 90304.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -24388.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -649310.0 0.0 63632.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 300.0 738476.0 63632.0 778240.0 0.0 0.0 5496.0 835584.0 0.0 0.0 28.0 659760.0 0.0 0.0 0.0 0.0 24.0 686432.0 64.0 686360.0 0.0 0.0 1388.0 655360.0 0.0 0.0 0.0 0.0


Input: 0.28116083 0.013846717 0.0050885733 0.0042798943 0.008704741 0.0029524406 0.0029753277 0.0026015046 0.011474084 0.0017089061 0.0022276812 0.0010909535 0.0063015916 0.0018691161 0.0013579701 0.0046766046 0.0063092206 0.0013350829 0.00059506553 0.00049588794 0.0031584247 0.003867926 0.00067898503 0.0006942431 0.0024565526 0.0010680663 0.00057980744 0.0010451792 0.0020369552 0.00086971116 0.0005569203 0.00080104975 0.01702803 0.0019530356 0.0012206472 0.0013961153 0.004997025 0.00086971116 0.0009078564 0.0007247593 0.001853858 0.0008773402 0.0005416622 0.00096888875 0.0014495186 0.0020827295 0.0021513908 0.00049588794 0.007003464 0.0029524406 0.002174278 0.0063549946 0.003013473 0.003051618 0.0023802621 0.0016173576 0.003028731 0.0032652314 0.0013884862 0.0056454935 0.0026549078 0.001861487 0.0017699385 0.0017089061 0.0037306033 0.0028227468 0.0013045667 0.0026167626 0.004356185 0.009093822 0.0041120555 0.001525809 0.0025557303 0.0022200523 0.0018920032 0.0007705336 0.0024794398 0.0061337524 0.0019377775 0.0011977601 0.008803918 0.0033110057 0.0020445841 0.0057980744 0.0021666489 0.002700682 0.005248783 0.0040891683 0.0011443568 0.004691863 0.000671356 0.0014647767 0.0013655991 0.0025862465 0.0029142953 0.0027083112 0.001174873 0.009261661 0.0012130182 0.0029829568 0.0051419768 0.014014556 0.00303636 0.006377882 0.019049726 0.006255817 0.0043104105 0.0008925983 0.005721784 0.020476358 0.007560384 0.0054776547 0.0042341202 0.00054929126 0.0073315124 0.005561574 0.01558614 0.014952929 0.003989991 0.0013808572 0.0017165352 0.0012740506 0.0007400174 0.00071713026 0.0019377775 0.0028761502 0.0018920032 0.000839195 0.0045926855 0.0022505685 0.0013274539 0.011222325 0.0031507958 0.0069958344 0.00036619417 0.0002365004 0.0021361327 0.008842063 0.0014190024 0.022833733 0.00088496925 0.007743481 0.0005264041 0.00054929126 0.0012511634 0.00019835518 0.0004195975 0.0005874365 0.0007095012 0.0009612597 0.00066372694 0.00046537176 0.0015334381 0.0003051618 0.00026701658 0.00012969377 0.0006255817 0.00031279086 0.00036619417 0.00018309709 0.0012206472 0.0013274539 0.00039671035 0.00066372694 0.0007705336 0.0009078564 0.00032804895 0.0002517585 0.00081630785 0.00037382322 0.00036619417 0.00059506553 0.00083156594 0.00027464563 0.00019835518 0.00039671035 0.0010451792 0.000167839 0.00049588794 0.00031279086 0.00086971116 0.00045011367 0.00067898503 0.0006103236 0.0028380048 0.0004043394 0.0005569203 0.00045011367 0.0010299211 0.00051114603 0.0008086788 0.00056454935 0.008773402 0.0025023269 0.0026396497 0.0051953797 0.001861487 0.00056454935 0.0025557303 0.003669571 0.0019072613 0.0026396497 0.0005569203 0.0005569203 0.0024107783 0.00022887136 0.000839195 0.0005569203 0.0017623095 0.00070187217 0.00083156594 0.00071713026 0.0007934207 0.0004043394 0.0009231145 0.00048062985 0.00167839 0.0005874365 0.0003890813 0.00095363066 0.0012359053 0.00025938754 0.0005264041 0.00031279086 0.002365004 0.00045774272 0.0002517585 0.0003051618 0.002349746 0.00035093608 0.00042722654 0.000335678 0.01094768 0.003013473 0.00039671035 0.0044935076 0.0030668762 0.0003051618 0.00051114603 0.000503517 0.003532248 0.0011901311 0.000335678 0.001350341 0.0015639543 0.00034330704 0.0026472788 0.0017012771 0.003013473 0.00086971116 0.0005416622 0.00090022734 0.005241154 0.0007934207 0.002189536 0.040876426 0.047244094 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.006962814 4.229208e-05 3.8447342e-06 3.0757874e-05 1.5378937e-05 6.536048e-05 0.00016147883 6.151575e-05 7.6894685e-05 7.6894685e-06 0.0 6.151575e-05 3.8447342e-05 1.5378937e-05 0.00010765256 0.00022299458 0.013475793 0.00020377092 0.00016532357 2.691314e-05 0.00021146038 0.00021914985 0.00048443652 0.00020377092 8.842889e-05 5.7671015e-05 0.00027682088 4.613681e-05 9.6118354e-05 5.382628e-05 4.9981547e-05 8.842889e-05 0.018554688 0.00020761565 0.00021530512 9.9963094e-05 0.00030757874 0.0005805549 0.0017878014 0.0003960076 0.00025375246 7.6894685e-05 0.00018070251 0.00016532357 0.00013072096 0.00021914985 9.9963094e-05 0.0003460261 0.011795645 0.00022299458 0.0002691314 8.842889e-05 0.00037678395 0.00020377092 0.0016839936 0.00021914985 0.00018070251 0.00013072096 6.536048e-05 8.842889e-05 0.00011149729 8.073942e-05 8.073942e-05 0.00014994464 0.05492203 0.00039216288 0.007997047 0.00027682088 0.001995417 0.001157265 0.02235713 0.010761411 9.6118354e-05 0.00018839198 8.458416e-05 0.0001230315 0.000103807826 0.000103807826 0.0007651021 0.0010380782 0.04600609 0.0012418492 0.0039139395 0.002722072 0.003298782 0.0030181163 0.009142778 0.003690945 0.0010534571 0.0004959707 0.00016916831 0.00020761565 0.0010457677 0.00020377092 0.00038831815 0.002141517 0.01402559 0.0007189653 0.0007920152 0.00033833663 0.0018570067 0.0013571912 0.006093904 0.0028989296 0.00078432576 0.00017685778 0.00011534203 0.0001230315 0.00034218136 0.0001345657 0.00019608144 0.0015417384 0.0146484375 0.0005728654 0.0026990036 0.0008496863 0.0027835877 0.0020300196 0.014521562 0.0062976745 0.0005843996 0.00033064713 0.00016916831 0.00039216288 0.00019608144 0.00026144192 0.00020377092 0.0007035864 0.015625 0.0017185962 0.003356453 0.021657389 0.005740188 0.0036986344 0.009392686 0.0041292445 0.0020492433 0.0012956754 0.0013225885 0.0016955278 0.0017378199 0.0013264333 0.0016340121 0.0023606669 0.006709061 0.00043061023 0.0018800751 0.0014994463 0.00216843 0.001345657 0.0052711307 0.00151867 0.00074972317 0.0003960076 0.00025375246 0.00042292077 0.00034218136 0.00027682088 0.00014225517 0.00021530512 0.021615095 0.0027989666 0.0041292445 0.0048635886 0.00622078 0.006643701 0.008646808 0.00614773 0.010253906 0.00086122047 0.001026544 0.0021876537 0.0053480254 0.0019069882 0.0037716844 0.008066253 0.07669476 0.018124077 0.014267809 0.017801119 0.02407957 0.0316537 0.03411817 0.029627522 0.05949342 0.0050173784 0.0059516486 0.0063438113 0.028243417 0.008073942 0.022856945 0.05072358 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1175.0 11.286809 13262.0 0.023601267 0.0024129092 0.002789926 0.0017342784 0.004071784 0.0038455739 0.0015834715 0.0012064546 0.004976625 0.0011310511 0.001658875 0.0015834715 0.004599608 0.00927462 0.008746795 0.001658875 0.028276278 0.015834715 0.011536721 0.011687528 0.0114613185 0.011762932 0.008822199 0.006333886 0.0104810735 0.0095008295 0.005881466 0.0073141307 0.00927462 0.0057306592 0.006258483 0.005052028 0.005504449 0.013120193 0.0060322727 0.015608505 0.013120193 0.012064545 0.010707284 0.005353642 0.0065600965 0.008746795 0.0030915397 0.001658875 0.0076911477 0.006107676 0.0039963806 0.0043733977 0.0134218065 0.005353642 0.009877847 0.018624641 0.009727039 0.004222591 0.0076911477 0.010104056 0.00331775 0.004976625 0.001281858 0.0012064546 0.0067109033 0.001281858 0.0015080682 0.004976625 0.00331775 0.028427085 0.004222591 0.014552858 0.018172221 0.060548935 0.007163324 0.020208113 0.042829137 0.025033932 0.006107676 0.0032423465 0.02586337 0.050972704 0.028502489 0.028954908 0.018700045 0.0010556477 0.031292416 0.018096818 0.039285176 0.01281858 0.007163324 0.005127432 0.006333886 0.0066355 0.001658875 0.003166943 0.0032423465 0.0023375056 0.0044488013 0.0024129092 5.9875374 1.0 0.0 7.0 2.0 131078.0 139264.0 1.0 11.0 179.0 1.0 1.0 0.0 0.0 0.0 1279371600.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 1.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 7.0 10.0 4.0 0.0 4.0 0.0 69632.0 4096.0 4096.0 5.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -8192.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 20480.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -69632.0 0.0 24576.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.4204464 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.571153 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.32247 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.6634827 0.0 4.12218 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7250.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 19680.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -10464.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -65777.0 0.0 24368.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 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 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -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 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -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 -2.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 2.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 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 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -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 1.0 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 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -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 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 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 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 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 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 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 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 336.0 93072.0 140.0 89184.0 24368.0 106496.0 0.0 0.0 0.0 0.0 5056.0 131072.0 28.0 74480.0 0.0 0.0 0.0 0.0 0.0 0.0 72.0 86728.0 0.0 0.0 740.0 73728.0 0.0 0.0 0.0 0.0


Input: 0.16196118 0.017089682 0.008514535 0.0060134497 0.026857948 0.003190159 0.0027850089 0.001885384 0.010403109 0.0018949545 0.0022107803 0.001483424 0.00501812 0.0022522523 0.0013334864 0.010249981 0.032813974 0.0010272312 0.00090600515 0.0014898042 0.0038696628 0.005117015 0.001263303 0.0007496874 0.0029413267 0.0011484573 0.001684404 0.0016046499 0.002545747 0.0008772937 0.0011261262 0.0010878443 0.0043896586 0.0013590078 0.0011675982 0.0008709134 0.0037261057 0.0010495624 0.0013175356 0.00097618863 0.0013175356 0.0007464972 0.0023064849 0.0012696832 0.0014515223 0.0013940994 0.001263303 0.001103795 0.0054487917 0.0034070897 0.0028743332 0.006077253 0.0026574025 0.0026031698 0.0024372814 0.0023511471 0.0029827987 0.0035665978 0.0027275858 0.005719955 0.0030816935 0.0043003345 0.0021597377 0.0022107803 0.0055572568 0.0025712682 0.0013271061 0.0020193707 0.0026031698 0.011296353 0.002386239 0.0014196207 0.0028711432 0.0012505424 0.00068907434 0.0007879693 0.0036304009 0.004852232 0.0015823189 0.0011069851 0.018397646 0.0036176404 0.0013940994 0.0036399714 0.0016716433 0.0052446215 0.005295664 0.005499834 0.0015567975 0.0027562974 0.0007177858 0.0020098002 0.0013940994 0.0036431616 0.002845622 0.0020767935 0.008176378 0.0044215606 0.0017928694 0.0025967895 0.007302274 0.008016869 0.002966848 0.0013781487 0.0057869484 0.009710844 0.00783822 0.0009410969 0.008587908 0.0015312763 0.00440561 0.0050276904 0.010422249 0.0019906592 0.008297604 0.003531506 0.019319603 0.011366537 0.0017290661 0.0016971646 0.005311615 0.00200661 0.00073692674 0.0005040451 0.0007560677 0.0032316311 0.0008103004 0.0006348416 0.0065557766 0.001885384 0.0019396166 0.009235511 0.005783758 0.010326545 0.0007688283 0.00061889086 0.0010655131 0.01003943 0.00085177243 0.03396562 0.0006922645 0.0067950385 0.00044024194 0.00042429115 0.0011261262 0.000421101 0.00038281907 0.0004912845 0.0006157007 0.0005582778 0.0004912845 0.00034453717 0.00065398257 0.0004657632 0.0003572978 0.00041472068 0.00069545466 0.0018790036 0.00040196005 0.00047214353 0.0009953296 0.006157007 0.00039238957 0.0005199959 0.00060294004 0.0010878443 0.00082944136 0.00035410764 0.00065398257 0.0003796289 0.00041472068 0.0005933696 0.0005869893 0.0002966848 0.00039557973 0.00033177654 0.0009921395 0.00044981242 0.00053275656 0.00044024194 0.0011963096 0.0005391369 0.00073373655 0.0006380318 0.0013111554 0.0029764182 0.0043258555 0.0009729985 0.0006157007 0.00055508764 0.0011771687 0.0013526274 0.003987699 0.0013749585 0.0027243958 0.0028009596 0.002044892 0.00087410357 0.0019906592 0.0050851135 0.0017131154 0.0017003547 0.0005455172 0.0007688283 0.02448447 0.00079115946 0.0017131154 0.00087410357 0.001524896 0.0007688283 0.0011165556 0.0010176607 0.001084654 0.0003796289 0.0012792537 0.0007528775 0.0023702881 0.0006699334 0.0005295664 0.0018726233 0.0018758135 0.00044662226 0.00043705179 0.0004593829 0.0027881989 0.0005455172 0.00048809432 0.00034772733 0.0033560472 0.0013302963 0.00032858638 0.00047533368 0.013682592 0.004147207 0.00057422864 0.0040291706 0.004664012 0.00044662226 0.00047852384 0.0004593829 0.0042429115 0.0008932445 0.00065717276 0.00072735624 0.0021310262 0.0004434321 0.006581298 0.0017928694 0.004638491 0.001422811 0.00065717276 0.00077520864 0.005432841 0.0038664727 0.0050117397 0.053712707 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.012589652 0.00085809425 0.0005283043 0.00032978997 0.0009301358 0.0002817623 3.842213e-05 0.00026575307 4.3224896e-05 1.12064545e-05 4.9628587e-05 8.164703e-05 6.723873e-05 8.0046106e-05 1.9211066e-05 0.00021932634 0.014718878 0.0010614113 0.0005875384 0.00037941855 0.000986168 0.00044025359 0.0003986296 0.00045306096 0.00010405994 2.5614754e-05 8.644979e-05 9.765625e-05 0.000100858095 4.8027665e-05 0.00010405994 8.0046106e-05 0.018322553 0.00050429045 0.0004786757 0.00051869877 0.0034275742 0.002675141 0.013005892 0.006272413 9.285349e-05 4.6426743e-05 6.563781e-05 5.6032273e-05 3.842213e-05 9.605533e-05 4.9628587e-05 0.00025134478 0.025204917 0.0019034964 0.0014904585 0.0007668417 0.0020219646 0.0014456327 0.0072697876 0.003887039 0.000369813 0.00027535862 0.00021452356 0.0002609503 0.00051549694 0.00043064804 0.00020491803 0.0061971694 0.012935451 0.001192687 0.0010678151 0.0007428279 0.0013511783 0.0013847976 0.0060771005 0.0027231686 0.00021132172 0.00018890882 0.000144083 0.00016009221 0.0002097208 0.00014568391 0.00028016136 0.0006931993 0.0136574665 0.0014632428 0.001027792 0.0013831967 0.0014024078 0.0013495773 0.0034083633 0.0018762808 0.00033619365 0.0003538038 0.00036501026 0.00035060194 0.0006259605 0.00045786373 0.00053951074 0.0009109247 0.0112096565 0.0022765112 0.0022076715 0.027145235 0.0026895492 0.0027023565 0.0035076204 0.0029248847 0.002281314 0.0018074411 0.0018474641 0.0017097848 0.0032962987 0.0018378586 0.0020924052 0.0025950947 0.0015881148 0.0003554047 0.0002977715 0.0002033171 0.00023693648 0.00037461577 0.00053790986 0.00033779457 0.0003986296 4.6426743e-05 5.6032273e-05 0.00013607838 0.0011846824 7.0440576e-05 0.00022893187 0.00050429045 0.051533684 0.014144147 0.0038181993 0.0061859633 0.009728804 0.016864114 0.011667521 0.013996862 0.029871605 0.0017081839 0.0026815445 0.004412141 0.01902696 0.0030705687 0.010084208 0.027435003 0.09840548 0.03588627 0.013377305 0.015839523 0.022545787 0.03359535 0.03348649 0.03879034 0.05717053 0.0046570823 0.00842085 0.010987128 0.027944095 0.009743212 0.023932185 0.053742956 0.002279713 0.0006851947 0.00075723615 0.0010245901 0.0006691855 0.00076363987 0.0011094391 0.00092373206 0.0006964011 0.0005987449 0.0006339652 0.0005491163 0.00055391906 0.00060354767 0.0006531762 0.00061315316 1977.0 12.667678 25044.0 0.013416387 0.0018367673 0.0014374701 0.0013576106 0.006348826 0.0017968375 0.0015173295 0.0020763457 0.0024756428 0.0017569078 0.0010781025 0.0022360645 0.0025155726 0.010261939 0.0071474207 0.0031145185 0.019964863 0.017888516 0.014893787 0.01301709 0.011978917 0.011300112 0.012178565 0.011499761 0.013536177 0.012098706 0.011499761 0.014694138 0.010940745 0.010980674 0.009982431 0.011060533 0.0039530424 0.006388756 0.0042325505 0.012258425 0.014095193 0.0047117076 0.007906085 0.0045120586 0.0047915666 0.00870468 0.0010381729 0.002315924 0.008345312 0.0045120586 0.0051110047 0.004472129 0.011938987 0.00435234 0.0064286855 0.015213225 0.0061491774 0.003194378 0.004751637 0.023558537 0.0044321995 0.0050710747 0.002315924 0.0022360645 0.0019964862 0.0016371186 0.006388756 0.006109248 0.0055901613 0.033540968 0.0047117076 0.021003034 0.019166267 0.054583933 0.01157962 0.0077862963 0.012577863 0.040289093 0.012178565 0.004591918 0.027272 0.009702923 0.039809935 0.039770003 0.01868711 0.0026752914 0.03893148 0.02751158 0.04767609 0.010860885 0.007666507 0.008185593 0.0043922695 0.008305383 0.002595432 0.0012777512 0.0019565565 0.0016371186 0.0014773997 0.0009982431 5.9823647 2.0 10.0 0.0 2.0 313464.0 323584.0 1.0 234.0 133.0 1.0 1.0 1.0 0.0 0.0 1540437400.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 10.0 0.0 14.0 0.0 10.0 0.0 10.0 0.0 274944.0 1024.0 4096.0 6.0 0.0 0.0 1.0 2.0 0.0 0.0 0.0 0.0 0.0 -16896.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -512.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -274944.0 -5632.0 2048.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.818403 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.4170053 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.3085546 -5.2687073 1.3033977 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -16780.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1828.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -274513.0 -5182.0 1876.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 2.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 -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 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -2.0 0.0 1.0 0.0 0.0 0.0 0.0 -3.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 1.0 0.0 -1.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 2.0 -1.0 1.0 -1.0 2.0 0.0 3.0 1.0 1.0 1.0 -1.0 1.0 -1.0 4.0 -2.0 0.0 -2.0 0.0 1.0 1.0 1.0 1.0 2.0 1.0 0.0 2.0 1.0 2.0 0.0 1.0 2.0 0.0 0.0 -1.0 0.0 -1.0 -1.0 0.0 0.0 -3.0 -1.0 1.0 1.0 0.0 -1.0 0.0 1.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.0 -1.0 1.0 1.0 -3.0 4.0 0.0 -2.0 2.0 1.0 2.0 0.0 0.0 -1.0 0.0 1.0 0.0 1.0 0.0 -1.0 1.0 1.0 1.0 -1.0 1.0 0.0 -2.0 1.0 0.0 2.0 -2.0 0.0 1.0 1.0 0.0 3.0 0.0 -1.0 -1.0 1.0 0.0 8561.0 270048.0 460.0 287344.0 2080.0 299008.0 0.0 0.0 11384.0 302080.0 16780.0 303104.0 56.0 23808.0 0.0 0.0 0.0 0.0 0.0 0.0 128.0 5688.0 0.0 0.0 620.0 286720.0 320.0 268420.0 0.0 0.0


Input: 0.25748393 0.012370114 0.0029688273 0.0047006435 0.0041439882 0.0026286491 0.00596858 0.0017627412 0.0016390401 0.0029997525 0.0028451262 0.0016081148 0.0012679367 0.0029997525 0.0014844136 0.0011751609 0.0015153389 0.0012679367 0.0011133102 0.0029997525 0.0012988619 0.0012370114 0.0012988619 0.0011751609 0.0012679367 0.0012060861 0.000989609 0.0006185057 0.000989609 0.001731816 0.0011442355 0.000865908 0.042182088 0.0012988619 0.0012679367 0.0015462643 0.0015462643 0.0009277585 0.00071128155 0.0030925286 0.000865908 0.00077313214 0.0015771895 0.0015153389 0.0011751609 0.0012060861 0.0071437405 0.0034017812 0.011751608 0.00491712 0.0014844136 0.0015153389 0.0012679367 0.00089683325 0.0006803563 0.0011133102 0.0010205344 0.0010514597 0.0021029194 0.0004948045 0.0021029194 0.00071128155 0.0018864423 0.00077313214 0.00095868384 0.005226373 0.00216477 0.0070200395 0.002814201 0.003370856 0.002814201 0.00089683325 0.0027832757 0.0020719941 0.001082385 0.0011133102 0.0013297872 0.006432459 0.0014534884 0.00058758043 0.0021956952 0.0007422068 0.0022575457 0.008875556 0.0025667986 0.004546017 0.0012060861 0.00058758043 0.000865908 0.000432954 0.001082385 0.00046387926 0.0010205344 0.000216477 0.00052572985 0.008535379 0.0006185057 0.020472538 0.0042676893 0.022266205 0.0153389415 0.052572984 0.0051954477 0.01691613 0.011442355 0.03182212 0.0005566551 0.0036182583 0.016173923 0.008875556 0.035656855 0.03148194 0.008411678 0.0011133102 0.03500742 0.026379269 0.03036863 0.010143493 0.0036801088 0.00432954 0.001731816 0.004576942 0.0009277585 0.004546017 0.00024740226 0.0045150914 0.0005566551 0.00052572985 0.0010514597 0.001082385 0.0023193962 0.00046387926 0.00046387926 0.00058758043 0.0025358733 0.00034017814 0.00046387926 0.00064943096 0.0003711034 0.0005566551 0.00046387926 0.00058758043 0.00052572985 0.0004948045 0.00058758043 0.0006185057 0.0007422068 0.0008040574 0.0005566551 0.000432954 0.0003711034 0.00058758043 0.00064943096 0.00064943096 0.00064943096 0.0006803563 0.00034017814 0.00052572985 0.00071128155 0.00052572985 0.0012370114 0.000865908 0.00052572985 0.00077313214 0.0004020287 0.0006185057 0.0003711034 0.000432954 0.00052572985 0.000216477 0.000432954 0.0004020287 0.00058758043 0.00046387926 0.000432954 0.00052572985 0.00058758043 0.0007422068 0.0004948045 0.00077313214 0.00052572985 0.0005566551 0.00052572985 0.00046387926 0.0006185057 0.000432954 0.00046387926 0.0006803563 0.00052572985 0.0006185057 0.00046387926 0.0003711034 0.0004948045 0.0004948045 0.0006185057 0.0004020287 0.0006185057 0.00058758043 0.0004948045 0.0004020287 0.0004948045 0.0004948045 0.000432954 0.00052572985 0.0004948045 0.00052572985 0.0006803563 0.00064943096 0.0006185057 0.0005566551 0.000432954 0.00058758043 0.00058758043 0.0004948045 0.00030925285 0.000432954 0.0003711034 0.0004020287 0.000432954 0.0008040574 0.0004020287 0.000865908 0.000432954 0.0006185057 0.00034017814 0.00046387926 0.00052572985 0.0003711034 0.0006185057 0.00052572985 0.000432954 0.00052572985 0.0006185057 0.00052572985 0.000865908 0.00046387926 0.000432954 0.000432954 0.0004948045 0.0007422068 0.000432954 0.00046387926 0.0005566551 0.0004948045 0.0005566551 0.0005566551 0.00052572985 0.0011133102 0.0004948045 0.0006185057 0.00064943096 0.00064943096 0.0005566551 0.0005566551 0.0004020287 0.00083498267 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.027001953 0.00011393229 0.0004720052 0.0005533854 0.0006510417 0.00040690103 0.0028971354 0.0010416667 6.510417e-05 0.0 4.8828126e-05 3.2552085e-05 0.0 0.0 1.6276043e-05 3.2552085e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.1538086 0.0024739583 0.027832031 0.005452474 0.01875 0.01648763 0.16507162 0.075016275 0.00021158854 0.00029296876 0.0001953125 0.0003092448 0.00011393229 0.0002766927 0.00022786458 0.00014648438 0.02898763 0.0006347656 0.018961588 0.0050455728 0.0063639325 0.0052734376 0.067252606 0.033740234 4.8828126e-05 6.510417e-05 8.138021e-05 8.138021e-05 1.6276043e-05 4.8828126e-05 3.2552085e-05 3.2552085e-05 0.017724609 0.00037434895 0.0017089844 0.000764974 0.0011230469 0.00081380206 0.0051432294 0.003141276 0.00037434895 0.00026041668 0.0002766927 0.00024414062 0.00032552084 0.00045572917 0.00022786458 0.00037434895 0.021435548 0.0014973958 0.0053548175 0.0030110676 0.0022460937 0.0020996095 0.016357422 0.008854167 0.0010904948 0.0005371094 0.0006673177 0.0005859375 0.00069986976 0.00083007815 0.0006347656 0.000764974 0.015527343 0.0012858073 0.0012695312 0.0008951823 0.0015950521 0.0013834635 0.0051757814 0.0025390624 0.00048828125 0.00040690103 0.00037434895 0.0004231771 0.00035807292 0.0004720052 0.0006510417 0.00048828125 0.014892578 0.0017415364 0.001969401 0.0012207031 0.0012369792 0.0012207031 0.0025227864 0.0017089844 0.0008626302 0.00091145834 0.00069986976 0.0008626302 0.0008463542 0.0008789062 0.0010091146 0.0007486979 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.024348957 0.008626302 0.010644531 0.012792969 0.00789388 0.006233724 0.01845703 0.012011719 0.0060058595 0.004036458 0.004296875 0.0035644532 0.0037434895 0.003125 0.0030273437 0.0045247395 0.0060546873 0.0021809896 0.0025878907 0.0024902343 0.0019042969 0.0017578125 0.003971354 0.0028320313 0.0017089844 0.0013834635 0.0011230469 0.0012044271 0.0009602865 0.00091145834 0.0011881511 0.0010742188 272.0 41.61397 11319.0 0.116883114 0.0007067762 0.0014135524 0.0006184292 0.0010601643 0.00053008215 0.0003533881 0.006449333 0.0007067762 0.0003533881 0.0003533881 0.0003533881 0.0015902465 0.0015018994 0.01660924 0.0078628855 0.018464528 0.008127927 0.0025620637 0.0019436346 0.0015018994 0.0009718173 0.00026504108 0.0013252054 0.0013252054 0.0009718173 0.0039756163 0.00053008215 0.003445534 0.0007951232 0.003445534 0.0009718173 0.00017669405 0.010424949 0.0019436346 0.0067143743 0.003622228 0.0013252054 0.0007951232 0.00044173514 0.0027387578 0.0024737169 0.0006184292 0.0007067762 0.0011485113 0.003622228 0.0008834703 0.0007067762 0.00326884 0.0003533881 0.0017669406 0.009629826 0.0044173514 0.0015902465 8.834703e-05 0.00053008215 0.0007067762 8.834703e-05 0.0009718173 0.00017669405 0.0 8.834703e-05 0.00017669405 0.0003533881 8.834703e-05 0.02941956 0.008481314 0.04567541 0.02827105 0.09488471 0.010778338 0.019524693 0.024030391 0.05459846 0.00017669405 0.006007598 0.029331213 0.011926848 0.056365404 0.05972259 0.016167507 0.0010601643 0.062903084 0.03684071 0.062814735 0.020938246 0.004240657 0.010159908 0.002915452 0.008392967 0.0009718173 0.011220072 8.834703e-05 0.011220072 8.834703e-05 0.00017669405 4.9501925 0.0 15.0 0.0 1.0 32336.0 49152.0 0.0 0.0 1.0 1.0 1.0 1.0 0.0 0.0 1534964100.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 11.0 0.0 4.0 0.0 4.0 0.0 23552.0 512.0 4096.0 3.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -512.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -23552.0 0.0 1024.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 -4.8836336 0.0 3.2964785 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 -23076.0 0.0 936.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 75.0 31184.0 936.0 32768.0 0.0 0.0 6736.0 25600.0 12.0 40960.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 8.0 8192.0 0.0 0.0 72.0 8200.0


Input: 0.18976323 0.009398855 0.0044429866 0.0031727098 0.011247614 0.0049320133 0.0018785782 0.0019471613 0.0088442275 0.0014283159 0.0019262881 0.0012494036 0.0056923903 0.0017473759 0.0011182013 0.0027284112 0.0062589454 0.001171875 0.00091543415 0.00082001433 0.0033486402 0.0042640744 0.00082597806 0.0010019084 0.0024153148 0.0012016937 0.0006142653 0.00068583013 0.0027045563 0.00040255248 0.0004920086 0.0005009542 0.0032442748 0.00032502387 0.00069775764 0.00043535305 0.010776479 0.001771231 0.00042342558 0.00036378816 0.0014283159 0.00039360687 0.0005039361 0.001654938 0.0011420563 0.0007096851 0.00082001433 0.00035186068 0.0032681297 0.0018070134 0.0019411976 0.005242128 0.0025763358 0.0020485448 0.0019471613 0.0019501431 0.002734375 0.0026031728 0.0018755964 0.0025226623 0.0024182966 0.0026538644 0.0017086116 0.0020395992 0.0046278625 0.0025345897 0.0049021947 0.0038317032 0.01707717 0.0070640505 0.0024451336 0.0013865697 0.0014044609 0.00076634064 0.00094227097 0.00038466125 0.0025852814 0.004058325 0.0010466365 0.0007424857 0.0072966362 0.0026956107 0.0015118083 0.0030623807 0.0018129771 0.002850668 0.005397185 0.0039181774 0.0011688932 0.00042640744 0.00038764314 0.0026389551 0.0013746421 0.003241293 0.004437023 0.0033814409 0.00081405055 0.0018755964 0.0007096851 0.001103292 0.0022870945 0.0034798426 0.0022155296 0.0008856155 0.002850668 0.0017950858 0.005331584 0.0004323712 0.0021529102 0.00077826815 0.001932252 0.0017145753 0.001583373 0.0005635735 0.002045563 0.0016668654 0.010162214 0.008724952 0.0010883827 0.0009512166 0.0013448235 0.0006470658 0.00036677005 0.00021171279 0.0021678198 0.0015147901 0.0010913645 0.0006947758 0.0026300095 0.001631083 0.0004085162 0.011736642 0.001517772 0.0056953724 0.0004413168 0.0002624046 0.0017443941 0.006804628 0.0014879532 0.025131201 0.0009303435 0.0057311547 0.00025345897 0.00044429867 0.0012971136 0.0002802958 0.0005814647 0.0009810353 0.0010854008 0.0009512166 0.00023556774 0.00016400286 0.00075739506 0.00036677005 0.00015207539 0.00021171279 0.00074546755 0.00028327768 0.00014909351 0.00040255248 0.0009035067 0.0008170324 0.0002624046 0.000712667 0.00067688455 0.0004621899 0.0003101145 0.00018487596 0.0011659112 0.0002922233 0.0002504771 0.00028625954 0.0005576097 0.00017593034 0.00060233776 0.00018189408 0.0008528149 0.0002206584 0.0001908397 0.00019680343 0.0005695372 0.00034589696 0.0003816794 0.00047709924 0.0039360686 0.0011897662 0.0003190601 0.00039360687 0.00069775764 0.0002504771 0.0005188454 0.000551646 0.0067867367 0.0017324666 0.0032830392 0.0046487357 0.005385258 0.00033396945 0.0022662214 0.0038287214 0.0013984971 0.001124165 0.0004621899 0.00039957062 0.2575173 0.0002922233 0.001264313 0.00057550095 0.0013686784 0.0009005248 0.0007633588 0.00047113548 0.0006321565 0.00032800573 0.0004502624 0.00041447996 0.0015475906 0.00031607825 0.00033695134 0.0008617605 0.0007424857 0.0002624046 0.00025644084 0.000229604 0.0013537691 0.0006321565 0.00035186068 0.0002683683 0.0011003101 0.0014611164 0.0004621899 0.00037571564 0.011644203 0.0031160545 0.0005009542 0.0029759065 0.0037959209 0.000459208 0.00037869753 0.00035484254 0.0038048665 0.0015565363 0.0007752863 0.00082001433 0.0015535544 0.0003608063 0.0020157443 0.0014819895 0.0028178673 0.001538645 0.0009780534 0.0013895516 0.0048813215 0.0016191555 0.002507753 0.036951337 0.018398916 1.3480158e-05 0.0 1.4977952e-06 2.3964723e-05 0.0 4.493386e-06 4.493386e-06 1.4977952e-06 2.9955904e-06 1.4977952e-06 0.0 0.1778527 4.493386e-06 1.4977952e-06 7.4889763e-06 0.011893992 4.9427243e-05 4.493386e-05 1.7973543e-05 0.00017823763 2.3964723e-05 3.2951495e-05 3.444929e-05 7.0396374e-05 3.444929e-05 1.7973543e-05 1.7973543e-05 0.008904393 1.7973543e-05 2.845811e-05 0.00010484567 0.0085494155 0.0001572685 3.7444883e-05 2.9955905e-05 0.00013480156 5.5418423e-05 2.9955905e-05 3.14537e-05 5.392063e-05 4.3436063e-05 2.0969133e-05 2.246693e-05 0.0029221985 2.546252e-05 2.0969133e-05 0.00013480156 0.0028038728 1.3480158e-05 3.5947087e-05 5.8414014e-05 0.00013929496 3.5947087e-05 7.4889763e-06 2.0969133e-05 9.28633e-05 5.991181e-06 2.246693e-05 1.3480158e-05 0.0027080139 1.0484567e-05 3.14537e-05 0.00013480156 0.0051913583 4.9427243e-05 9.8854485e-05 0.0001572685 0.00027409653 7.1894174e-05 0.00018273102 0.00010933905 4.643165e-05 3.2951495e-05 1.1982362e-05 1.3480158e-05 0.0026510975 1.7973543e-05 6.590299e-05 0.00022766487 0.010429149 0.00038343557 0.000314537 0.00014229055 0.0009076639 0.0002815855 0.00030405243 0.00022616709 0.0004373562 0.000100352285 7.788535e-05 0.00011982362 0.009973818 0.00012132141 0.00017823763 0.00054220186 0.018705964 0.0010110118 0.0007384131 0.0003115414 0.0014678393 0.0002875767 0.00027858993 0.00033700393 0.0007294263 0.00017524205 0.00023066047 0.00017823763 0.004739024 0.00017524205 0.0002576208 0.0010514522 0.029073704 0.0013255487 0.0012551524 0.0004373562 0.003453916 0.0010050206 0.0026510975 0.0014363857 0.0009241397 0.0009166507 0.00032202597 0.00030555023 0.008041663 0.0001872244 0.0004403518 0.003438938 0.0075084474 0.00027409653 0.0003429951 0.0010035228 0.0009256375 0.0005616732 0.001514271 0.0009151529 0.0007488976 0.0001557707 0.00016176188 0.00017524205 0.005977701 0.00016176188 0.00035347967 0.0006919814 0.008935846 0.00036396424 0.00045982315 0.0011802627 0.0030809648 0.001828808 0.007607302 0.0039032544 0.0006964748 0.00014378835 0.00012132141 0.00013030818 0.004201316 0.00013330378 0.00046132095 0.00049427245 0.0068074795 0.00060960266 0.00064554974 0.00054819306 0.0020175301 0.0011128619 0.0017434336 0.0013779716 0.0011173553 0.00024713622 0.00015277512 0.00020370015 0.0061259824 0.00013629936 0.0005212327 0.0011727737 0.010107122 0.0018932131 0.0022392038 0.022285696 0.004422989 0.002224226 0.0022961202 0.002084931 0.0018587639 0.0018063411 0.0015756806 0.001689513 0.0035707438 0.0015367379 0.0019231691 0.002902727 0.01787319 0.0027634322 0.0021538297 0.0016940064 0.008198931 0.005588274 0.0024249305 0.0033415812 0.006707127 0.0010289854 0.00057066 0.0012970907 0.01453161 0.0008597345 0.0031708325 0.007550386 0.06285048 0.012242978 0.009954347 0.007006686 0.02042094 0.020790895 0.0066157617 0.013844121 0.034834225 0.0021688074 0.002399468 0.004725544 0.02705917 0.0037175277 0.014956984 0.032485683 0.029168064 0.0065858057 0.006804484 0.0046371743 0.010384214 0.011934432 0.0047495086 0.007291267 0.018833278 0.0018168256 0.002186781 0.0022436972 0.013372316 0.0028128594 0.006948272 0.014402799 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1502.0 11.60253 17427.0 0.012738854 0.00086073333 0.0012624089 0.00086073333 0.010960004 0.0025248178 0.0008033511 0.00091811555 0.0057382225 0.0007459689 0.0011476445 0.0016640845 0.005393929 0.0039593736 0.006943249 0.0011476445 0.020370688 0.014517702 0.013656969 0.015952257 0.01882137 0.013025764 0.013886498 0.012566707 0.016583463 0.013140529 0.012107649 0.011246916 0.015952257 0.012624089 0.009869742 0.015607964 0.014288174 0.015780112 0.004361049 0.01755896 0.01342744 0.00826304 0.008148275 0.0075170714 0.006369427 0.0060825157 0.00826304 0.0014919378 0.011017387 0.006426809 0.0028691113 0.004188902 0.021747863 0.0051644 0.007976129 0.015091524 0.012509325 0.005623458 0.010673094 0.012566707 0.0055660754 0.0008033511 0.0012624089 0.0014345556 0.0047053425 0.0014345556 0.0021231424 0.0040167556 0.005393929 0.028232053 0.005910369 0.015837494 0.01784587 0.058988925 0.0048201066 0.0103288 0.012451942 0.030125666 0.009869742 0.003328169 0.027600849 0.010271418 0.029264934 0.028748494 0.014689849 0.0012050266 0.030584725 0.02117404 0.047397718 0.012222414 0.0037298445 0.00568084 0.010960004 0.0054513114 0.0019509955 0.00086073333 0.0050496357 0.00091811555 0.0014345556 0.0013197911 6.042182 0.0 0.0 0.0 1.0 335360.0 356352.0 0.0 0.0 374.0 1.0 0.0 0.0 0.0 0.0 876139000.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4.0 20.0 4.0 0.0 4.0 0.0 249856.0 1024.0 4096.0 5.0 0.0 0.0 1.0 2.0 0.0 0.0 0.0 0.0 0.0 -17920.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 36864.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -17920.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -249856.0 -11776.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.1792364 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 3.6218503 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.4530156 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.151333 -4.985185 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -17726.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 36500.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -31652.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -249813.0 -11762.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -2.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 -1.0 -2.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 1.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 2.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 -1.0 -1.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -2.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 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 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 1.0 0.0 -1.0 1.0 0.0 -1.0 0.0 1.0 0.0 1.0 0.0 1.0 -1.0 0.0 1.0 -2.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 1.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 1.0 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 -1.0 -1.0 0.0 0.0 1.0 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 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 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 -1.0 0.0 0.0 0.0 -1.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 -2.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 1.0 -2.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 -1.0 1.0 -1.0 0.0 1.0 0.0 0.0 -1.0 -2.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 -1.0 0.0 0.0 1.0 -1.0 0.0 -1.0 0.0 1.0 -1.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -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 0.0 0.0 0.0 0.0 1.0 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 0.0 -1.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 -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 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 1.0 -1.0 0.0 0.0 2.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 1.0 0.0 -1.0 -2.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 2.0 0.0 0.0 1.0 2.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 1.0 0.0 0.0 -1.0 0.0 1.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 -1.0 -1.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 -1.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 -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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 -1.0 -2.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -2.0 0.0 0.0 1.0 1.0 0.0 -1.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 1.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 -1.0 1.0 -1.0 0.0 -2.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 -1.0 0.0 0.0 0.0 -1.0 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 1.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 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 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 1.0 -1.0 0.0 1.0 -1.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 180.0 323584.0 0.0 0.0 0.0 0.0 0.0 0.0 15272.0 335872.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2128.0 325892.0 0.0 0.0 0.0 0.0


Input: 0.12762417 0.01781594 0.005963864 0.0151933525 0.017916808 0.0033286682 0.0041230093 0.002408241 0.017891591 0.0014247708 0.0018786801 0.0017273771 0.011612513 0.0024586753 0.0017021599 0.021232868 0.0074516777 0.0008826014 0.0015508567 0.00086999283 0.003732143 0.0028873675 0.001235642 0.00079434126 0.0036186657 0.0005673866 0.0014121622 0.00085738424 0.0031017135 0.0014752052 0.0012104248 0.0007312983 0.0024965012 0.0006808639 0.0007439069 0.0007312983 0.018093329 0.0007439069 0.00050434365 0.0005926038 0.0018786801 0.0006052124 0.00052956084 0.0010969475 0.0013365106 0.0007565155 0.0006052124 0.00039086633 0.0027234557 0.00052956084 0.0009708615 0.0074516777 0.0016138997 0.0011347733 0.00095825293 0.0010591217 0.0029882363 0.0024965012 0.00052956084 0.0044886586 0.0016138997 0.0015886825 0.0013365106 0.00080694986 0.008485582 0.003732143 0.0016138997 0.0029251932 0.010011221 0.0118646845 0.006455599 0.0034421454 0.007287766 0.0020804177 0.0013365106 0.001235642 0.013440759 0.0070229853 0.0025091097 0.0018408544 0.007262549 0.003706926 0.0013365106 0.004110401 0.0021686777 0.006014298 0.0072121145 0.0055982145 0.001513031 0.0039969236 0.0008826014 0.0031647566 0.0021308518 0.0072121145 0.0052956087 0.0046399618 0.0011852076 0.0006052124 0.0018030286 0.00086999283 0.0021686777 0.00085738424 0.00635473 0.0014625966 0.004967785 0.0006052124 0.0072373315 0.00046651787 0.00084477564 0.00036564915 0.0004539093 0.00039086633 0.0019921574 0.00039086633 0.002899976 0.0011473818 0.010780346 0.010061656 0.0013239022 0.0014121622 0.002963019 0.00085738424 0.00050434365 0.001513031 0.0025847612 0.003984315 0.0026730213 0.0018282458 0.003984315 0.0014878138 0.00079434126 0.020211572 0.01163773 0.015634654 0.0010086873 0.0021434606 0.0033664939 0.020791568 0.0013365106 0.0585543 0.0013112936 0.013617279 0.0010465131 0.0014373794 0.0020047661 0.0006304296 0.00041608352 0.00042869212 0.0010843389 0.00046651787 0.0004539093 0.00034043196 0.0011978162 0.00093303574 0.0006304296 0.0005926038 0.00089521 0.00052956084 0.00094564434 0.0006052124 0.0010843389 0.0015760739 0.0007565155 0.0019165059 0.0010465131 0.00039086633 0.00035304055 0.00022695465 0.0011221647 0.0004413007 0.00034043196 0.00023956323 0.00083216705 0.0003026062 0.0003152148 0.00039086633 0.0016138997 0.00037825774 0.00040347493 0.0006430382 0.00079434126 0.0004413007 0.000617821 0.001853463 0.0019669402 0.00179042 0.0005926038 0.000617821 0.0009834701 0.00042869212 0.0010591217 0.0010086873 0.009179055 0.0029756275 0.004791265 0.0028873675 0.003240408 0.0006052124 0.00277389 0.0069851596 0.0033538854 0.0028495416 0.0006052124 0.0014121622 0.0053838687 0.00047912647 0.0030764963 0.0020047661 0.0016643341 0.0006808639 0.0014625966 0.00051695225 0.00094564434 0.00037825774 0.0006304296 0.00051695225 0.0018156372 0.0014247708 0.0005673866 0.0022947637 0.0014373794 0.0022317206 0.0006934725 0.00084477564 0.002433458 0.00040347493 0.00084477564 0.00047912647 0.0015634653 0.0027612816 0.00050434365 0.00052956084 0.023338502 0.0073382 0.00052956084 0.00653125 0.0073129833 0.0004539093 0.0006556468 0.0006556468 0.0035556229 0.002471284 0.0007565155 0.00084477564 0.0024460668 0.0005673866 0.0039086635 0.0026351956 0.009342967 0.0029378019 0.0015760739 0.0018786801 0.0040599667 0.0017778114 0.0042743124 0.053031735 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0064890007 0.00059750205 0.00022486637 0.00016704359 0.0006745991 0.0006874486 0.00071957236 0.00046258225 0.0009958368 0.00012207031 0.000109220804 0.00023129112 0.00066174957 4.4973272e-05 0.00044973273 0.000520405 0.032669872 0.0027112458 0.004381682 0.002704821 0.008255808 0.0043624076 0.0018053557 0.0043302835 0.019132916 0.0011757299 0.00089304073 0.0013941715 0.004921361 0.0020237972 0.004272461 0.010228207 0.15623716 0.020424291 0.01838122 0.020244397 0.053762335 0.04269891 0.016318873 0.03169331 0.103432104 0.007272821 0.005711606 0.009515059 0.034732215 0.011487459 0.03700658 0.06266062 0.056300115 0.008814761 0.009103876 0.009219521 0.022878546 0.01877313 0.011744449 0.010735762 0.035419665 0.0036813836 0.0048314147 0.0041568154 0.012393349 0.0046258224 0.014738384 0.022583008 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 119.0 5.9159665 704.0 0.018465908 0.0056818184 0.0042613638 0.007102273 0.06960227 0.0056818184 0.0028409092 0.0014204546 0.011363637 0.0028409092 0.0028409092 0.0014204546 0.0085227275 0.0014204546 0.011363637 0.0 0.015625 0.0 0.0 0.0028409092 0.007102273 0.0028409092 0.0014204546 0.0014204546 0.012784091 0.04403409 0.0 0.029829545 0.0085227275 0.007102273 0.0014204546 0.0056818184 0.0085227275 0.007102273 0.0014204546 0.0056818184 0.041193184 0.0042613638 0.0056818184 0.0042613638 0.036931816 0.0028409092 0.0 0.0 0.026988637 0.0 0.0028409092 0.0014204546 0.015625 0.009943182 0.0056818184 0.018465908 0.0042613638 0.0014204546 0.026988637 0.029829545 0.0056818184 0.035511363 0.0028409092 0.015625 0.011363637 0.011363637 0.018465908 0.019886363 0.0042613638 0.009943182 0.0014204546 0.0056818184 0.007102273 0.0056818184 0.038352273 0.0014204546 0.018465908 0.0056818184 0.0625 0.0014204546 0.007102273 0.0042613638 0.007102273 0.0056818184 0.0056818184 0.0 0.017045455 0.0042613638 0.06818182 0.012784091 0.007102273 0.0028409092 0.0014204546 0.0 0.0 0.0014204546 0.0056818184 0.0 0.0 0.009943182 5.6240997 0.0 0.0 0.0 1.0 79311.0 888832.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1521916300.0 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 -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 12.0 0.0 5.0 1.0 5.0 1.0 581632.0 1024.0 4096.0 5.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -29184.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 196096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -20992.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -581632.0 0.0 36864.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.569508 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -28980.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 195982.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -36724.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -581597.0 0.0 36844.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 380.0 770252.0 36844.0 819200.0 0.0 0.0 0.0 0.0 28980.0 856064.0 28.0 601024.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 674640.0 0.0 0.0 2180.0 585728.0 0.0 0.0 0.0 0.0