Input: 0.056852814 0.008315034 0.0061783665 0.005656924 0.005753526 0.0049661687 0.004198547 0.0054232096 0.005052383 0.0056319945 0.003751893 0.0044613457 0.0049588974 0.0031764365 0.0043273494 0.0046358523 0.005045112 0.0037570868 0.0049360455 0.0041507655 0.0043543563 0.003178514 0.004102984 0.0038360301 0.00507939 0.0033415947 0.0031608557 0.0029229864 0.004145572 0.0034433904 0.0037913648 0.0037924035 0.006177328 0.0038152556 0.0034839008 0.0030154334 0.004898651 0.00417154 0.0038474563 0.0037207312 0.004729338 0.0038921216 0.0033353623 0.003094377 0.004372015 0.0037186537 0.0037280023 0.0035805027 0.005517734 0.003945097 0.0030995705 0.0028939021 0.0036739884 0.003078796 0.0026871949 0.0028575466 0.0041653076 0.0033218588 0.0035192175 0.0033457496 0.004013653 0.003221102 0.0035005205 0.0034579325 0.0066021685 0.003948213 0.0036168583 0.003221102 0.004156998 0.0032190245 0.0035420696 0.00306737 0.005009795 0.0037768227 0.0037113826 0.0035805027 0.004128952 0.0031276164 0.0035493406 0.0034568938 0.0051749535 0.0036293229 0.003644904 0.0033374398 0.0039284774 0.0033779503 0.0033644468 0.0035420696 0.004647278 0.0036428263 0.0038111007 0.003506753 0.0041112937 0.0033821051 0.003690608 0.003794481 0.005908297 0.0036272455 0.003344711 0.0029489547 0.0040105367 0.00305906 0.0032668062 0.0030299756 0.0049744784 0.0031660493 0.0031951338 0.0030497115 0.0035763476 0.0028295007 0.0030850284 0.00318994 0.004502895 0.0032938132 0.0032200632 0.0031431972 0.0038931605 0.0033312074 0.003286542 0.0036199745 0.0046265037 0.0032917357 0.0034755908 0.0031598168 0.0040416988 0.00319825 0.003467281 0.0033467885 0.00867028 0.0045974194 0.0040230015 0.00352545 0.0043709762 0.003436119 0.003024782 0.0033914538 0.004544444 0.0038318753 0.0029562258 0.00318994 0.0037259248 0.0027910678 0.002839888 0.0029853103 0.0052289674 0.0032044824 0.0034911719 0.0030216658 0.0036625622 0.0031753979 0.0033031616 0.0032730384 0.004548599 0.0028367718 0.003043479 0.0026996594 0.003514024 0.0032304507 0.0029894651 0.0031504685 0.005011873 0.0034153445 0.003270961 0.002794184 0.0037737065 0.0030123172 0.003051789 0.0031857851 0.004141417 0.0030029686 0.0031182677 0.0030195883 0.0036459425 0.0028274234 0.002920909 0.0030351693 0.0046690917 0.0031099578 0.0038401852 0.0028461204 0.0035628441 0.0031546233 0.002982194 0.003113074 0.0042577544 0.0031452747 0.003336401 0.0031733203 0.0036552912 0.0031857851 0.0033228975 0.0033488658 0.0067288936 0.004061435 0.0037300799 0.003336401 0.0041196034 0.0032501866 0.0033031616 0.0032262956 0.0043283883 0.0033270526 0.0031089191 0.0030808735 0.0036386715 0.0029832327 0.0030736024 0.0027973002 0.004256716 0.0032719998 0.0030850284 0.0029998524 0.0037082664 0.0030060848 0.0029333737 0.0029427223 0.003979375 0.0031068416 0.002724589 0.0026466842 0.0035316823 0.0029499934 0.0035856962 0.002878321 0.0049464325 0.0032356442 0.0033935313 0.0029738843 0.003801752 0.0030725636 0.0031951338 0.0029032505 0.00444161 0.0054502166 0.0034652036 0.003135926 0.0037820162 0.00306737 0.0032429153 0.0031951338 0.0046150777 0.0033145878 0.0034246931 0.0030476341 0.0037383896 0.0030808735 0.003310433 0.0032356442 0.00435124 0.0030341307 0.0031837078 0.00286274 0.004013653 0.003093338 0.0042317864 0.0045288634 0.01170523 0.0 0.0 0.0 0.0 0.0 1.0400026e-06 3.120008e-06 0.0 1.0400026e-06 2.0800053e-06 0.0 0.0 1.0400026e-06 0.0 1.0400026e-06 0.0020581654 4.1600106e-06 2.0800053e-06 6.240016e-06 5.200013e-06 1.0400026e-06 3.120008e-05 1.1440029e-05 0.0 0.0 1.0400026e-05 0.0 0.0 0.0 0.0 0.0 0.00095316244 2.6000066e-06 6.240016e-06 1.30000335e-05 9.360024e-06 5.7200145e-06 5.2000134e-05 2.2880058e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0028709273 3.5880093e-05 2.8080072e-05 1.0920028e-05 2.2360056e-05 3.484009e-05 4.264011e-05 1.8200046e-05 3.5880093e-05 5.200013e-06 9.880026e-06 1.612004e-05 2.6520069e-05 7.2800185e-06 1.7160044e-05 1.30000335e-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 0.0008824423 1.1960031e-05 1.2480032e-05 8.320021e-06 1.3520034e-05 1.612004e-05 1.3520034e-05 1.1440029e-05 1.0920028e-05 1.3520034e-05 6.760017e-06 1.3520034e-05 1.1960031e-05 1.0400026e-05 1.8200046e-05 9.880026e-06 0.0016296841 6.5520166e-05 5.7200148e-05 4.8880123e-05 4.7840123e-05 3.068008e-05 2.2880058e-05 0.00055640144 3.0160078e-05 1.7160044e-05 1.9760051e-05 0.00027820072 2.0800053e-05 0.0002750807 1.6640042e-05 7.80002e-05 0.0007451619 3.7440095e-05 3.4320088e-05 2.0800053e-05 2.2360056e-05 1.7160044e-05 1.4040036e-05 1.1960031e-05 1.6640042e-05 2.2880058e-05 1.924005e-05 1.7680046e-05 6.760017e-06 4.680012e-06 2.2880058e-05 5.096013e-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 0.0013223634 3.7440095e-05 4.316011e-05 6.0320155e-05 4.264011e-05 3.1720083e-05 9.204024e-05 5.876015e-05 3.9520102e-05 5.7720146e-05 4.4200115e-05 4.316011e-05 7.85202e-05 7.80002e-06 8.840023e-06 0.00016172041 0.001172603 6.968018e-05 4.6280118e-05 4.6280118e-05 3.84801e-05 3.7960097e-05 4.7840123e-05 6.0320155e-05 5.2520136e-05 5.096013e-05 6.8640176e-05 5.2000134e-05 7.5400196e-05 1.4560037e-05 4.4200115e-05 0.00025220064 0.0045952518 0.00029328075 0.0002719607 0.0002683207 0.00030368078 0.00024128062 0.00032864083 0.00030316078 0.00033436087 0.0003494409 0.00033124085 0.0003556809 0.00052000134 0.0001575604 0.00018876049 0.0007420419 0.0032068482 0.0002745607 0.00030160078 0.00024960065 0.00028964074 0.00028340073 0.0003442409 0.0009365224 0.00040872104 0.0003525609 0.00032552084 0.0006713217 0.0004643612 0.0004368011 0.00017524045 0.00086372223 0.0022583657 0.00018252047 0.00029120073 0.00024596063 0.00029952076 0.00029588075 0.00028652072 0.00040404103 0.00044460114 0.00032396082 0.00024700063 0.0003182408 0.0004622812 0.00016224041 0.00019032048 0.0010420827 0.0003458009 5.460014e-05 4.316011e-05 4.5240115e-05 5.460014e-05 4.8360125e-05 5.3560136e-05 5.2000134e-05 7.072018e-05 4.8360125e-05 3.84801e-05 4.9400125e-05 4.4720113e-05 2.6520069e-05 4.2120108e-05 4.732012e-05 0.09928437 0.06200028 0.0624636 0.0553011 0.060598355 0.059569273 0.054930862 0.0544639 0.060481876 0.053138938 0.052117653 0.052906495 0.056406625 0.05051241 0.056609944 0.053836256 4012.0 5.704636 22887.0 0.017127628 0.010486302 0.009350286 0.008607507 0.013501114 0.012496177 0.01179709 0.01149124 0.012583563 0.00969983 0.008476428 0.0086512 0.01389435 0.010573688 0.011840783 0.009918294 0.016734391 0.011928169 0.008694893 0.007515183 0.009830908 0.008476428 0.007864727 0.008345349 0.010267838 0.008476428 0.009656137 0.008825971 0.01149124 0.00895705 0.009612444 0.009175515 0.018045178 0.010879539 0.010355224 0.009131822 0.010835846 0.008825971 0.010704767 0.008301656 0.014243894 0.011622318 0.009787216 0.00895705 0.01149124 0.009350286 0.011666011 0.009568751 0.014811902 0.009612444 0.009961987 0.009000743 0.01210294 0.009350286 0.009568751 0.009830908 0.013719579 0.009219208 0.010573688 0.009525058 0.011141696 0.009830908 0.010442609 0.010704767 0.018045178 0.011010617 0.009743523 0.008170577 0.013107878 0.008257963 0.009393979 0.008345349 0.015467295 0.009350286 0.008913357 0.008694893 0.011360161 0.007995806 0.009961987 0.007952113 0.013195263 0.008039499 0.008738585 0.008738585 0.011403854 0.009393979 0.008126885 0.007864727 0.010879539 0.008869664 0.011971862 0.008476428 0.011316468 0.00895705 0.01000568 0.008738585 6.5543904 0.0 0.0 0.0 14.0 962714.0 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: 0.16619624 0.02204301 0.010147849 0.01344086 0.012432796 0.0065860213 0.017137097 0.004099462 0.0047715055 0.0059811827 0.004099462 0.0045698923 0.002486559 0.006182796 0.003091398 0.0025537633 0.002889785 0.0024193549 0.0028225807 0.0068548387 0.0031586022 0.002016129 0.0025537633 0.0029569892 0.0027553763 0.002688172 0.0019489247 0.0018145161 0.002486559 0.0046370965 0.0023521506 0.002889785 0.013978494 0.0018145161 0.0027553763 0.0027553763 0.0026209678 0.003091398 0.0024193549 0.0019489247 0.0026209678 0.0028225807 0.004099462 0.0045698923 0.0018145161 0.0020833334 0.008266129 0.0051075267 0.025806451 0.008736559 0.0030241935 0.004435484 0.003091398 0.002889785 0.0020833334 0.0037634408 0.0026209678 0.0029569892 0.003360215 0.0021505377 0.0026209678 0.0018817204 0.0022849462 0.0016801076 0.0021505377 0.0059139784 0.0027553763 0.005577957 0.0029569892 0.0032258064 0.0029569892 0.002217742 0.004233871 0.0034946236 0.0018817204 0.0016801076 0.003091398 0.002688172 0.002217742 0.004233871 0.0029569892 0.0017473118 0.0047715055 0.004166667 0.002889785 0.008938172 0.003561828 0.0020833334 0.001344086 0.0021505377 0.0028225807 0.0014784946 0.0017473118 0.0012096774 0.0018145161 0.0022849462 0.0022849462 0.01202957 0.0038978495 0.008467742 0.006048387 0.013373656 0.0029569892 0.0051075267 0.0039650537 0.012903226 0.002688172 0.0028225807 0.009475807 0.0074596773 0.009744624 0.016061828 0.0063172043 0.0032930106 0.013172043 0.009677419 0.016330644 0.00672043 0.0019489247 0.0027553763 0.0024193549 0.004435484 0.002486559 0.0018145161 0.0019489247 0.0014112904 0.0008736559 0.001545699 0.0029569892 0.0018817204 0.0067876345 0.0011424731 0.0029569892 0.0017473118 0.006653226 0.0014112904 0.0016129032 0.0019489247 0.001545699 0.0014112904 0.0018817204 0.0014112904 0.0014784946 0.0014784946 0.0018817204 0.0018145161 0.0021505377 0.0023521506 0.0016129032 0.0016129032 0.0007392473 0.001545699 0.0019489247 0.0026209678 0.0014784946 0.002016129 0.0017473118 0.0014112904 0.002217742 0.0014784946 0.0037634408 0.0018145161 0.0022849462 0.0018145161 0.0012768817 0.0008064516 0.0021505377 0.001344086 0.001344086 0.0017473118 0.0020833334 0.0016129032 0.0018817204 0.0017473118 0.0024193549 0.0017473118 0.0017473118 0.0019489247 0.0014784946 0.0016129032 0.0023521506 0.0012096774 0.0016801076 0.0027553763 0.0018817204 0.0008736559 0.0019489247 0.0019489247 0.0016129032 0.0012768817 0.0016129032 0.0016129032 0.0014112904 0.0020833334 0.0019489247 0.002217742 0.0028225807 0.0017473118 0.0016801076 0.0024193549 0.0018817204 0.0016801076 0.001545699 0.0018817204 0.0021505377 0.0016801076 0.001545699 0.002016129 0.0018145161 0.0014112904 0.0010752688 0.002217742 0.0012768817 0.0016129032 0.0011424731 0.0018145161 0.0018817204 0.001545699 0.0014784946 0.0010752688 0.0012096774 0.0014112904 0.0010752688 0.0020833334 0.0016129032 0.0011424731 0.0019489247 0.0016129032 0.0020833334 0.0016801076 0.0010752688 0.0018817204 0.0019489247 0.0016129032 0.0016801076 0.0016801076 0.0021505377 0.002217742 0.0018145161 0.0022849462 0.0016801076 0.002217742 0.0016129032 0.0014784946 0.0018145161 0.0018817204 0.0019489247 0.004032258 0.0012768817 0.0012768817 0.002217742 0.0014112904 0.0016129032 0.0018817204 0.000672043 0.002486559 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.051832933 0.0012770433 0.001990685 0.0040940503 0.0022536058 0.0017653245 0.008112981 0.0032301683 0.0008263221 7.5120195e-05 0.00045072116 0.00011268029 0.00011268029 0.0 0.00030048078 0.00048828125 0.04353215 0.0009014423 0.0020282452 0.002328726 0.002704327 0.0016526442 0.012920673 0.0068734977 0.00048828125 0.00041316106 0.00033804087 0.0005258414 0.00060096156 0.00056340144 0.0005258414 0.0005258414 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.060434196 0.003079928 0.010629507 0.0065354565 0.0058218148 0.0045447717 0.031062199 0.017127404 0.001990685 0.0014648438 0.0019155649 0.0015024039 0.00390625 0.0012394831 0.0016902044 0.0009014423 0.031888522 0.003493089 0.0045072115 0.0058969352 0.0032301683 0.002741887 0.005784255 0.00398137 0.0033052885 0.0017653245 0.0021409255 0.0014648438 0.0018404447 0.0012770433 0.0017653245 0.0018404447 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.09769381 0.03891226 0.043419473 0.05453726 0.036921576 0.03489333 0.06644381 0.048640326 0.03125 0.023625301 0.024489183 0.0238131 0.022686299 0.020582933 0.022536058 0.024939904 181.0 17.320442 3135.0 0.04752791 0.001275917 0.002232855 0.0028708135 0.0015948963 0.002551834 0.0028708135 0.0019138756 0.0015948963 0.0028708135 0.0015948963 0.0009569378 0.002551834 0.0015948963 0.024561403 0.016905902 0.041786283 0.022328548 0.0063795852 0.0127591705 0.00446571 0.007336523 0.0028708135 0.0041467305 0.0054226476 0.004784689 0.008293461 0.0019138756 0.001275917 0.002551834 0.0006379585 0.0009569378 0.00031897926 0.01722488 0.0028708135 0.01754386 0.005103668 0.0041467305 0.0019138756 0.002232855 0.0009569378 0.00893142 0.0009569378 0.0009569378 0.0041467305 0.00446571 0.002232855 0.009250399 0.003508772 0.0031897926 0.0076555023 0.00861244 0.006060606 0.0019138756 0.00446571 0.0015948963 0.0009569378 0.0006379585 0.004784689 0.00031897926 0.00031897926 0.00031897926 0.0006379585 0.0015948963 0.0006379585 0.045933016 0.011164274 0.032535885 0.019776715 0.04880383 0.006060606 0.012440192 0.011164274 0.045295056 0.0038277511 0.00446571 0.032535885 0.025199361 0.035406698 0.06028708 0.019457735 0.00446571 0.049122807 0.036044657 0.066985644 0.024880383 0.0041467305 0.005741627 0.0038277511 0.010526316 0.002551834 0.00031897926 0.0019138756 0.0006379585 0.00031897926 0.00031897926 5.5069094 0.0 16.0 0.0 1.0 14880.0 32768.0 0.0 0.0 1.0 1.0 1.0 1.0 0.0 0.0 1539590100.0 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 2560.0 512.0 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 -2560.0 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 -5.7931833 0.0 3.1522815 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 -2292.0 0.0 848.0 0.0 0.0 0.0 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 79.0 10396.0 848.0 16384.0 0.0 0.0 10272.0 4608.0 12.0 24576.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 8.0 8192.0 0.0 0.0 72.0 8200.0


Input: 0.14238605 0.011248138 0.008762039 0.007125705 0.013225375 0.0036160666 0.0034938406 0.004107466 0.012008933 0.0020196426 0.002669853 0.0025351546 0.00831554 0.0020978008 0.0022167012 0.0058884765 0.049183995 0.0014101745 0.0006219402 0.0007217167 0.0035279307 0.008764534 0.0006926152 0.00068014313 0.0030756106 0.0011349577 0.0005479393 0.0008954941 0.002191757 0.0004930622 0.00053629867 0.0005737149 0.0065178997 0.00085974083 0.0010817435 0.0005836925 0.006260144 0.00106844 0.00053713017 0.0005720519 0.0018059546 0.00051384897 0.00047560132 0.0011299689 0.0015190972 0.0007566385 0.0010218776 0.00040326334 0.0051451414 0.002551784 0.0023938045 0.010415835 0.003863845 0.002392973 0.0024553335 0.0025526155 0.0037432818 0.003802316 0.0022790616 0.0038189455 0.0032851412 0.0026374254 0.0022574433 0.002569245 0.0055035055 0.0021443632 0.0013519715 0.0022773987 0.0034863572 0.009903649 0.0022366566 0.0020005188 0.0017926511 0.000999428 0.0014883328 0.00094039354 0.0023987934 0.007353528 0.001495816 0.0013694324 0.009988459 0.0045564603 0.0011856774 0.0036559773 0.0020346092 0.0049439254 0.0062418515 0.004928959 0.0015141084 0.0017136614 0.00052632106 0.0014583998 0.0034373004 0.005056174 0.0040924996 0.0028427988 0.0030381945 0.0019581139 0.0007391776 0.0013345107 0.00219342 0.0042180517 0.0021618241 0.00087055 0.0041024773 0.0018209211 0.00658026 0.0005787037 0.0024445243 0.0009096291 0.0017993029 0.0021061157 0.0044758073 0.0012846225 0.0022699153 0.0020021817 0.009996774 0.011243149 0.0028037196 0.0019431474 0.0019473047 0.0010376757 0.00049721956 0.0006610193 0.0015265804 0.0025775596 0.0014475908 0.00089632557 0.0033317036 0.0011790256 0.0004789272 0.008390373 0.0023796696 0.008124301 0.00080569525 0.0009985964 0.0017036838 0.011460163 0.0004905678 0.049677055 0.0011582389 0.009811356 0.00068346906 0.0005878499 0.0028003938 0.0003533751 0.00035586953 0.0009545285 0.0011615647 0.00044982572 0.000427376 0.0003907913 0.0011798571 0.0005096916 0.0003816451 0.0003367457 0.00118152 0.0004049263 0.00044733132 0.0004947251 0.0018733038 0.0022865448 0.0003450604 0.0005246581 0.0009753153 0.0015390526 0.00032344216 0.000384971 0.0011166653 0.00039993747 0.00043569072 0.0006327493 0.0010634512 0.0003167904 0.00032344216 0.00034921776 0.0032926246 0.000812347 0.00081650435 0.00073086284 0.002422906 0.0010750918 0.0008605723 0.0014243096 0.0037341355 0.0007516496 0.0012039698 0.003959464 0.001070103 0.000399106 0.0005720519 0.0005770408 0.008096032 0.001695369 0.0040949937 0.002996621 0.0018325617 0.0016064016 0.0019456417 0.0027471797 0.003067296 0.0015814576 0.00055791694 0.0015149398 0.06817562 0.0016479752 0.004445043 0.002735539 0.0025409749 0.0005994905 0.0008023694 0.00048641043 0.0012654986 0.00036917304 0.0033042652 0.00050303986 0.0022790616 0.00097448385 0.000399106 0.001439276 0.0018134379 0.00053047837 0.00040243188 0.0004331963 0.003549549 0.0005945017 0.00046978102 0.0004622978 0.0025027273 0.0024877607 0.00040575778 0.00041989278 0.018798724 0.003436469 0.00047560132 0.0035146272 0.0070367376 0.00046728662 0.00038413954 0.00038413954 0.0044525266 0.0017086726 0.00041407248 0.00065935636 0.002253286 0.0010268665 0.0031338136 0.0022981854 0.0052914806 0.0023439163 0.0014018598 0.0017153244 0.0076636667 0.0024270634 0.0034048732 0.06142158 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00077384047 2.830616e-05 2.4976023e-06 1.0406677e-05 5.4114716e-06 2.0813352e-06 2.0813352e-06 2.0813352e-06 2.0813352e-06 2.0813352e-06 3.3301365e-06 5.8277387e-06 4.5789375e-06 2.0813352e-06 2.9138694e-06 2.9138694e-06 0.001502724 3.66315e-05 1.16554775e-05 4.9952046e-06 1.7899483e-05 8.741608e-06 2.3727222e-05 2.830616e-05 2.5808557e-05 5.4114716e-06 4.9952046e-06 4.9952046e-06 4.5789375e-06 9.5741425e-06 8.325341e-06 6.660273e-06 0.0014423653 2.4976023e-05 8.741608e-06 8.325341e-06 2.122962e-05 1.2071744e-05 4.245924e-05 3.9961637e-05 5.1617113e-05 7.07654e-06 7.07654e-06 7.909074e-06 4.9952046e-06 6.660273e-06 1.2488012e-05 7.07654e-06 0.004680923 0.00025558798 8.366968e-05 6.4521395e-05 4.8703245e-05 4.3291773e-05 6.285632e-05 3.704777e-05 6.4521395e-05 2.9971228e-05 2.9971228e-05 2.8722427e-05 3.66315e-05 3.1220028e-05 6.368886e-05 0.00040627664 0.0040706755 0.0003059563 0.00016650683 8.075581e-05 0.00013820066 7.118167e-05 0.00036714753 0.00015110493 5.7444853e-05 4.495684e-05 1.9148285e-05 2.1645887e-05 3.0387495e-05 1.4985614e-05 2.4143488e-05 0.00040336276 0.040559813 0.004026135 0.002361483 0.0005153386 0.0007884098 0.0006506254 0.0043733018 0.0023964494 0.0005265778 0.00087332824 0.0003221907 0.0006052523 0.00038213315 0.00039586995 0.00046455403 0.0046971575 0.021419438 0.0031944334 0.0007317975 0.00063355843 0.0016042932 0.0012950068 0.0026116595 0.0015231211 0.0004420756 0.00036964513 0.0003575734 0.00028347786 0.00026974105 0.00016067908 0.00018981777 0.0015718244 0.0065278998 0.00055488397 0.00042958758 0.00032510457 0.0013953272 0.00096449075 0.0042638234 0.0022207848 0.00019481298 0.00012779399 0.000114889706 0.00012030118 0.00016442548 9.449262e-05 0.00012404758 0.00028014774 0.011323713 0.0023893728 0.0010810455 0.00075385964 0.0029026303 0.0014352888 0.003608619 0.001975187 0.0007580223 0.00042292732 0.00029097067 0.00038671208 0.00026974105 0.00020355459 0.00037880303 0.0008050605 0.03183652 0.0067672534 0.0037264226 0.033096977 0.0037622217 0.0039362214 0.0039195707 0.003947877 0.0037984368 0.0035095476 0.003285596 0.0035220354 0.0043387515 0.0035948823 0.0039990777 0.0040157284 0.008138853 0.0055563324 0.00092536164 0.0007355439 0.0011913563 0.0016030445 0.0011010263 0.001446528 0.0011443181 0.0008108882 0.00030720507 0.00057569734 0.0025304875 0.0005419797 0.0010648111 0.0013120738 0.036397558 0.017273417 0.0040415367 0.00641301 0.011242124 0.0173088 0.005321558 0.011184263 0.032567486 0.001672561 0.002175828 0.005814002 0.04218034 0.0039695227 0.013644401 0.031760342 0.06292667 0.034685034 0.011533095 0.01319067 0.023651045 0.030884517 0.011160119 0.021672111 0.061725743 0.00394413 0.005963442 0.012326084 0.058639124 0.009112086 0.025440577 0.056453306 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5290.0 11.036295 58382.0 0.0090438835 0.0017984995 0.0011989997 0.0019183995 0.015312939 0.0011647425 0.001661471 0.0018327567 0.0073138983 0.0013017711 0.0010790997 0.0026206707 0.0070912265 0.0034257134 0.01039704 0.001267514 0.024014251 0.018704396 0.018927066 0.022215752 0.023997122 0.017042924 0.017830838 0.01743688 0.02451098 0.022746736 0.017762324 0.02081121 0.023209209 0.017231338 0.016580453 0.02245555 0.022798123 0.012024254 0.0032201705 0.019338151 0.016306397 0.0050357985 0.0062690554 0.00537837 0.007485184 0.006611627 0.0011989997 0.0014559282 0.01195574 0.0040080845 0.0018156281 0.007279641 0.023466136 0.004076599 0.004864513 0.013668597 0.010362783 0.003562742 0.013017711 0.013240382 0.008512897 0.0019869138 0.0016443424 0.003048885 0.0069713267 0.0010448425 0.003682642 0.00645747 0.0064232126 0.019029837 0.0045048133 0.013137611 0.014507896 0.041279845 0.0042992705 0.0072625126 0.011202083 0.018927066 0.0050529274 0.0030146278 0.024819294 0.0071768695 0.017282724 0.021838922 0.013702854 0.0015758282 0.022095852 0.012640882 0.039155904 0.007673598 0.0031173993 0.0064917267 0.009523483 0.0051214416 0.0015073139 0.0012846425 0.0066972696 0.0013360282 0.0018327567 0.0007879141 6.0952997 0.0 0.0 0.0 2.0 1202688.0 1245184.0 1.0 6.0 648.0 1.0 1.0 0.0 1.0 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 1050112.0 1024.0 4096.0 7.0 0.0 0.0 1.0 3.0 0.0 0.0 -512.0 0.0 0.0 -74240.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -15872.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1050112.0 -17408.0 41472.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.613647 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.4221663 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.2475777 -5.758634 0.023855092 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -9.0 0.0 0.0 -74164.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -33252.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1049719.0 -16926.0 41628.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 2.0 -2.0 -1.0 1.0 0.0 0.0 0.0 1.0 0.0 1.0 1.0 -1.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 -1.0 0.0 1.0 0.0 1.0 1.0 -1.0 0.0 1.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 1.0 1.0 -1.0 0.0 -1.0 0.0 1.0 1.0 0.0 1.0 1.0 1.0 -1.0 0.0 2.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 2.0 0.0 1.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 -2.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 1.0 -1.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 2.0 0.0 -1.0 0.0 0.0 1.0 1.0 -1.0 1.0 -1.0 1.0 -1.0 1.0 -1.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 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 2.0 0.0 -1.0 0.0 1.0 0.0 0.0 -1.0 -1.0 1.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 1.0 1.0 0.0 -1.0 0.0 0.0 1.0 -2.0 -1.0 2.0 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 0.0 0.0 1.0 0.0 1.0 0.0 -1.0 1.0 -2.0 0.0 0.0 1.0 0.0 2.0 0.0 1.0 1.0 -1.0 1.0 0.0 0.0 0.0 -1.0 -2.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 -2.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 -2.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 -1.0 0.0 0.0 1.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 -1.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 -2.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 -2.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 -2.0 1.0 0.0 1.0 -1.0 -1.0 1.0 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 -1.0 -1.0 0.0 0.0 -1.0 0.0 0.0 1.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 -1.0 0.0 0.0 1.0 -1.0 -2.0 -1.0 -1.0 -1.0 0.0 0.0 0.0 0.0 2.0 -2.0 0.0 0.0 1.0 0.0 0.0 1.0 3.0 1.0 -3.0 0.0 2.0 1.0 2.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 -1.0 1.0 0.0 -2.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 1.0 1.0 0.0 -1.0 0.0 1.0 -1.0 1.0 0.0 -1.0 0.0 0.0 1.0 1.0 1.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 1.0 1.0 2.0 -1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 1.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 1.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 -2.0 0.0 -1.0 -1.0 -1.0 -1.0 0.0 1.0 0.0 1.0 -1.0 1.0 2.0 0.0 -1.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 1.0 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 1.0 -1.0 2.0 0.0 -2.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 1.0 0.0 1.0 0.0 0.0 -1.0 0.0 -1.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 -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 -2.0 1.0 -1.0 1.0 0.0 -1.0 -2.0 1.0 0.0 -1.0 0.0 0.0 1.0 0.0 -1.0 1.0 -1.0 -1.0 -1.0 0.0 -1.0 -1.0 2.0 2.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 -1.0 1.0 0.0 0.0 -1.0 -1.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 1.0 0.0 -1.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 1.0 1.0 0.0 0.0 1.0 0.0 0.0 1.0 1.0 2.0 1.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 1.0 0.0 1.0 0.0 1.0 0.0 1.0 0.0 3.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 1.0 -1.0 0.0 1.0 0.0 -2.0 -1.0 -1.0 0.0 -1.0 0.0 0.0 0.0 -1.0 -1.0 -1.0 1.0 1.0 0.0 -1.0 0.0 1.0 0.0 0.0 -1.0 -1.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 2.0 -1.0 -2.0 2.0 1.0 1.0 -1.0 -2.0 -1.0 -1.0 0.0 1.0 0.0 1.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -2.0 1.0 2.0 0.0 0.0 -1.0 2.0 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 -1.0 1.0 -1.0 0.0 1.0 0.0 0.0 1.0 0.0 -1.0 0.0 -1.0 -1.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 -1.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 -1.0 -1.0 -1.0 0.0 0.0 0.0 0.0 1.0 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 -1.0 -1.0 0.0 -1.0 -1.0 -1.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 2.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 -3.0 1.0 1.0 0.0 0.0 0.0 0.0 2.0 0.0 1.0 0.0 -3.0 1.0 1.0 1.0 0.0 -1.0 0.0 0.0 -1.0 1.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 1.0 -1.0 -1.0 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 1.0 1.0 1.0 0.0 -1.0 0.0 0.0 -2.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 -1.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 28039.0 1025776.0 520.0 1096456.0 42168.0 1122304.0 0.0 0.0 0.0 0.0 74164.0 1167360.0 56.0 120144.0 0.0 0.0 0.0 0.0 24.0 20648.0 128.0 16408.0 0.0 0.0 2820.0 1093632.0 352.0 1022368.0 0.0 0.0


Input: 0.046662282 0.004879627 0.0041021486 0.0043440913 0.0053444826 0.003846614 0.0039172936 0.0037623418 0.0037704972 0.004254382 0.0039743814 0.0036889436 0.0035883607 0.003936323 0.003566613 0.004439237 0.0040042843 0.003601953 0.0034198165 0.0036726329 0.003746031 0.003911857 0.0038004 0.0035176808 0.0036699143 0.003591079 0.0037052543 0.0035203993 0.003615545 0.0038330215 0.0035747683 0.0039743814 0.0040722457 0.0038221478 0.0036780697 0.0037378757 0.0042136055 0.0037704972 0.0037025358 0.0036101083 0.0035421469 0.003925449 0.0036046715 0.003686225 0.0035448654 0.0034687486 0.0037840893 0.003895546 0.0043712757 0.0039281677 0.0036427297 0.0037541864 0.003971663 0.0036726329 0.0035747683 0.0038004 0.0037541864 0.003775934 0.0037596233 0.0036128268 0.003615545 0.0037079726 0.0036209822 0.0037433126 0.0036835065 0.003601953 0.003476904 0.0038085554 0.0041809836 0.0035557393 0.0036427297 0.0035503022 0.003756905 0.003601953 0.0034605933 0.0037351572 0.003971663 0.0037378757 0.0036536036 0.0037079726 0.0038031186 0.0034823408 0.0038194293 0.0038846722 0.003900983 0.003914575 0.0037324387 0.0038303032 0.003631856 0.003661759 0.0035992344 0.0035285547 0.0036563221 0.0036128268 0.0035584576 0.0035611761 0.0036753512 0.0039825365 0.0036291375 0.003996129 0.0037351572 0.004373994 0.00387108 0.0036943804 0.0038520508 0.0039743814 0.003512244 0.0035747683 0.0038792354 0.0039281677 0.0041918578 0.0042380714 0.0039635072 0.0036345744 0.003971663 0.0044936063 0.004254382 0.003626419 0.0040178765 0.00413477 0.0038330215 0.0036916619 0.0034633118 0.0036536036 0.0035285547 0.0035231176 0.0035693315 0.003447001 0.004523509 0.003900983 0.0038275847 0.0037677786 0.003686225 0.003716128 0.0035421469 0.0037297204 0.004863316 0.0038330215 0.0036182636 0.003751468 0.0037351572 0.003626419 0.0036590404 0.0037868079 0.0036481668 0.0039037014 0.0036101083 0.003775934 0.0036671958 0.0037405943 0.0035584576 0.0038085554 0.0035530208 0.0034741855 0.0036563221 0.0036835065 0.003721565 0.0037025358 0.0036644775 0.0038031186 0.003661759 0.0038683615 0.0036753512 0.0036780697 0.0035339915 0.003637293 0.0035040886 0.0034741855 0.0035992344 0.0035040886 0.0035421469 0.0035747683 0.0035557393 0.003650885 0.0035693315 0.003686225 0.003756905 0.0037433126 0.003566613 0.0036753512 0.0035421469 0.0035503022 0.0036046715 0.0037324387 0.0036345744 0.0037976818 0.0033708843 0.0035802054 0.0036943804 0.0035937976 0.0036209822 0.0035693315 0.0036590404 0.0038873907 0.0035802054 0.0035394286 0.0037433126 0.0036481668 0.0035802054 0.003661759 0.0036563221 0.0034660301 0.0038167108 0.003615545 0.003650885 0.0035176808 0.0036590404 0.0036998172 0.0036128268 0.0035394286 0.0035856422 0.0035992344 0.003686225 0.0036753512 0.003716128 0.0035693315 0.003591079 0.0035937976 0.0034741855 0.0038004 0.003746031 0.0035937976 0.0037351572 0.0034904962 0.0037704972 0.003920012 0.0037052543 0.0036726329 0.0041021486 0.0038221478 0.0036835065 0.0038139925 0.003686225 0.0036345744 0.0036889436 0.003721565 0.003661759 0.0036209822 0.0034279719 0.0035503022 0.003631856 0.003392632 0.0035312732 0.003596516 0.0037025358 0.0037732157 0.0035149623 0.0035992344 0.0037623418 0.0035339915 0.0035638947 0.0037976818 0.0035856422 0.003775934 0.0036780697 0.0045778784 0.005586592 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.002318654 0.00012684401 1.636697e-05 1.50030555e-05 1.09113125e-05 1.2275227e-05 1.3639141e-05 3.273394e-05 3.8189595e-05 2.0458712e-05 8.183485e-06 1.2275227e-05 2.7278282e-05 3.409785e-05 8.456267e-05 2.1822625e-05 0.013487747 0.00054420176 0.00015412229 0.00023595714 0.00018685624 0.00016639753 0.00034507026 0.00020049537 0.00044872775 0.000117296615 0.00012684401 9.411007e-05 0.0001159327 8.319876e-05 0.00035461766 9.820182e-05 0.004033094 6.4103966e-05 8.72905e-05 0.00016094187 0.00013775533 0.00012684401 0.00039553508 0.00019640363 0.00014048316 2.8642196e-05 2.5914367e-05 2.7278282e-05 2.7278282e-05 1.2275227e-05 7.228745e-05 5.0464823e-05 0.0020131373 4.2281335e-05 7.7743105e-05 5.8648307e-05 7.910702e-05 5.7284393e-05 0.00023595714 8.8654415e-05 9.547399e-06 2.7278281e-06 1.2275227e-05 2.4550454e-05 3.409785e-05 3.5461766e-05 1.3639141e-05 8.183485e-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 0.004365889 0.00020867886 0.00016094187 0.000270055 0.00014184706 7.228745e-05 0.00061648915 0.000872905 0.0009615594 8.456267e-05 1.09113125e-05 0.00021549842 4.5009165e-05 1.09113125e-05 9.001833e-05 0.0002523241 0.0020908804 7.5015276e-05 0.00015685012 0.00033552287 0.00018003666 9.411007e-05 0.00075697235 0.0007392414 0.0006737736 6.683179e-05 4.0917425e-06 0.00018003666 2.5914367e-05 5.4556563e-06 4.637308e-05 0.00015548621 0.0037712224 0.00025641586 0.00045691122 0.00041872164 0.0003696207 0.00030824458 0.0006901405 0.00040099074 0.00041462987 0.0001636697 0.00016912534 0.00017048926 0.0002796024 0.0001445749 0.00016639753 0.00019913146 0.005442017 0.00022640974 0.00044190817 0.00037098464 0.00026323542 0.00031506416 0.00041190206 0.00073651364 0.0009833821 0.00067650137 0.0004841895 0.00055374915 0.00043918035 0.0004459999 0.0013584584 0.00081698457 0.004575932 0.00044872775 0.00070650753 0.00036007332 0.0005060121 0.0004841895 0.0005360182 0.00071059924 0.0009956573 0.00067650137 0.00064649526 0.0005946666 0.0008319876 0.00073105795 0.0006001222 0.0005619326 0.0033429535 0.0010133882 0.0014198346 0.001587596 0.00081016496 0.0008879081 0.0019176633 0.0014225624 0.00092473376 0.0004459999 0.00047873385 0.0004269051 0.0006205809 0.00046100296 0.000444636 0.000555113 0.0560596 0.056198716 0.056407396 0.056468774 0.056482412 0.0566679 0.05616462 0.055466294 0.05605005 0.05679611 0.055857737 0.055838645 0.05602959 0.05618235 0.05639103 0.05638012 1805.0 7.2204986 13033.0 0.016880227 0.0075193737 0.0095143095 0.0072124605 0.0094375815 0.0072124605 0.009207397 0.008363386 0.008286657 0.00905394 0.007979744 0.006291721 0.0073659173 0.010972148 0.015422389 0.01450165 0.018644977 0.01358091 0.011969616 0.011662702 0.009207397 0.009591038 0.009591038 0.009667766 0.008670298 0.011048876 0.0095143095 0.007289189 0.0094375815 0.0095143095 0.0095143095 0.007826287 0.007059004 0.009284125 0.008440114 0.010511777 0.011125605 0.007903015 0.009284125 0.00905394 0.008286657 0.008286657 0.006445178 0.007596102 0.0095143095 0.008747026 0.008363386 0.007979744 0.009284125 0.007749559 0.008440114 0.011739431 0.0112790605 0.008209929 0.00905394 0.009284125 0.008286657 0.006445178 0.008516842 0.007903015 0.008209929 0.007289189 0.007596102 0.005984808 0.0081332 0.016573314 0.00905394 0.016726771 0.014041279 0.0243996 0.009207397 0.011202333 0.011355789 0.0162664 0.0074426457 0.008977212 0.016726771 0.016880227 0.018644977 0.019182077 0.012890356 0.0076728305 0.017110413 0.021330468 0.021790838 0.008977212 0.00997468 0.017263869 0.008209929 0.012046344 0.005754623 0.008209929 0.007749559 0.0072124605 0.007289189 0.006598634 6.497513 0.0 20.0 0.0 5.0 367856.0 1097728.0 0.0 0.0 13.0 0.0 1.0 1.0 0.0 0.0 1252943600.0 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 335872.0 4096.0 4096.0 3.0 1.0 0.0 2.0 3.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -333312.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 22528.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7.9987936 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4.8706264 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -335872.0 0.0 0.0 0.0 0.0 0.0 733184.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 24576.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 832.0 1094700.0 21548.0 1073152.0 0.0 0.0 6184.0 361672.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 883352.0 0.0 0.0


Input: 0.0069815563 0.004039649 0.003959202 0.0039113415 0.0040671434 0.0039052316 0.004000953 0.003880792 0.0040050265 0.003932726 0.003920506 0.0041445354 0.003989752 0.0039378176 0.0039133783 0.0040895464 0.004078345 0.0039439276 0.0038777373 0.0039917883 0.0037809974 0.00414148 0.0038156202 0.0039042134 0.0038665358 0.0037056422 0.0043329233 0.0038074737 0.0038482063 0.004092601 0.0038909754 0.0038818105 0.0038084919 0.003864499 0.003879774 0.0038981035 0.0039255978 0.0039255978 0.0038278399 0.0037728508 0.0038196933 0.003886902 0.0039530923 0.003961239 0.003959202 0.003769796 0.0039642937 0.003938836 0.004048814 0.003889957 0.003989752 0.003879774 0.00399077 0.0039235614 0.0038146018 0.0038665358 0.0038278399 0.00391847 0.00391847 0.003896067 0.0039215246 0.003883847 0.003957166 0.0038461694 0.003926616 0.0038105284 0.0037565578 0.0039459644 0.0038858838 0.0039174515 0.0038940303 0.0038879204 0.003981605 0.003941891 0.004110931 0.0037616496 0.0038746824 0.0038471879 0.0038634809 0.0038889386 0.0039459644 0.0038502428 0.0040019713 0.003876719 0.004106858 0.0037860891 0.004004008 0.003707679 0.0038889386 0.0039480007 0.0038329314 0.0043013557 0.003886902 0.0038023822 0.00391236 0.0038665358 0.003961239 0.0039989166 0.003983642 0.0038278399 0.0041180593 0.0038431145 0.003910323 0.003896067 0.0037850707 0.003880792 0.0038492244 0.003714807 0.0038858838 0.0038981035 0.0039011585 0.0039235614 0.003941891 0.0038879204 0.0039866967 0.003989752 0.0039093047 0.0039500375 0.003987715 0.0039317077 0.00406918 0.0037718327 0.003854316 0.003723972 0.0039194883 0.00390014 0.003883847 0.0038471879 0.00382173 0.0037300817 0.003753503 0.0038624625 0.003870609 0.0039459644 0.003879774 0.003944946 0.0038288583 0.00373721 0.003769796 0.0041669384 0.0038003454 0.0038471879 0.0038482063 0.0038339498 0.0039378176 0.0038146018 0.003928653 0.0038950485 0.0038614443 0.0038125652 0.004296264 0.0038716274 0.0038950485 0.0038359864 0.003769796 0.0038940303 0.003857371 0.003981605 0.003916433 0.0038441329 0.0039622574 0.0038227483 0.0038909754 0.0038634809 0.0039143963 0.0039255978 0.0038461694 0.0037423016 0.0038879204 0.0039174515 0.0037718327 0.0038115468 0.0038227483 0.003753503 0.004010118 0.0038370048 0.0038359864 0.0037606312 0.0038471879 0.0038431145 0.003864499 0.0039154147 0.0037382282 0.003926616 0.0038522794 0.003824785 0.0038665358 0.0037687777 0.0038420963 0.0039194883 0.003920506 0.0038757005 0.0038828289 0.0037850707 0.0039887335 0.0037911807 0.003841078 0.0038115468 0.0039856783 0.0039255978 0.003896067 0.003897085 0.0038227483 0.003876719 0.0037942356 0.0038634809 0.003805437 0.003893012 0.0039357813 0.0038532978 0.0038787555 0.0038858838 0.003949019 0.0038461694 0.00391847 0.0038757005 0.0037117521 0.0038828289 0.0038125652 0.0039337445 0.003857371 0.0038237667 0.0039398544 0.0038726456 0.0038950485 0.0038237667 0.003941891 0.0038390413 0.0038777373 0.003903195 0.004014191 0.00391847 0.003897085 0.0037392466 0.0037524847 0.0038064553 0.0038431145 0.003971422 0.0038563525 0.003951056 0.003959202 0.004016228 0.0038981035 0.003949019 0.0038950485 0.0037860891 0.0038919935 0.0038502428 0.003873664 0.003838023 0.0039724405 0.0039530923 0.003957166 0.0037830342 0.0038146018 0.003941891 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0009638203 2.5484408e-06 1.5290644e-06 1.5290645e-05 7.135634e-06 4.5871934e-06 2.7013471e-05 1.22325155e-05 3.0581289e-06 1.5290644e-06 0.0 1.0193763e-06 2.5484408e-06 5.0968816e-07 5.0968816e-07 5.0968816e-07 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0007227378 2.4465031e-05 6.982728e-05 6.625946e-06 2.6503783e-05 1.3251892e-05 2.4465031e-05 1.7329397e-05 2.4465031e-05 6.1162577e-06 4.5871934e-06 1.0703451e-05 1.1722827e-05 6.1162577e-06 5.198819e-05 2.2935967e-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 0.00064781366 1.7329397e-05 1.8348774e-05 2.9052224e-05 4.179443e-05 2.9052224e-05 0.00010601513 5.504632e-05 1.3251892e-05 1.1722827e-05 1.22325155e-05 7.6453225e-06 1.1722827e-05 1.1213139e-05 1.1213139e-05 2.0387526e-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 0.00050102343 4.0775052e-05 4.8420374e-05 2.752316e-05 3.2110354e-05 4.4852557e-05 6.320133e-05 3.7207235e-05 2.8542536e-05 2.3955343e-05 2.2426279e-05 4.638162e-05 3.822661e-05 2.3955343e-05 2.5994095e-05 3.9245988e-05 8.1550104e-05 0.00033486512 7.3395095e-05 8.1550104e-05 1.6310021e-05 0.00014679019 1.6310021e-05 1.6310021e-05 0.00014679019 1.6310021e-05 1.6310021e-05 1.6310021e-05 2.4465031e-05 1.6310021e-05 1.6310021e-05 2.3955343e-05 0.00014679019 0.00014679019 1.6310021e-05 1.6310021e-05 7.798229e-05 0.00021559809 8.511792e-05 7.798229e-05 1.6310021e-05 0.00014679019 1.6310021e-05 1.6310021e-05 1.6310021e-05 1.6310021e-05 1.6310021e-05 1.6310021e-05 0.00062029046 0.00062538736 0.0002364953 0.0001982687 0.00031957446 0.00068553054 0.00035882046 0.00033894263 0.00021355934 0.00041641522 0.000197759 0.00016157114 0.00015137738 0.00029510944 0.0001804296 0.0002196756 0.062260956 0.061817527 0.06169622 0.062260956 0.061822116 0.061637096 0.061741073 0.062048927 0.06124362 0.06184964 0.06157135 0.061400604 0.061662074 0.061669208 0.061745662 0.06209072 4431.0 5.647258 25023.0 0.009751029 0.009790992 0.010470367 0.010470367 0.009910882 0.009071654 0.009351397 0.010310514 0.010550294 0.010670183 0.010430404 0.010830036 0.009311434 0.010470367 0.010670183 0.010710146 0.011469448 0.010590257 0.011349559 0.010590257 0.008592095 0.009790992 0.009751029 0.010070735 0.009790992 0.01063022 0.010550294 0.010270551 0.010230588 0.009631139 0.010310514 0.009591176 0.010869999 0.009671102 0.0109099625 0.010590257 0.010430404 0.009191544 0.0098709185 0.010869999 0.008991728 0.010590257 0.010470367 0.009191544 0.00927147 0.011149743 0.010590257 0.01063022 0.00927147 0.009551213 0.010670183 0.009431323 0.009631139 0.009790992 0.010869999 0.010390441 0.010790073 0.009990809 0.00939136 0.010470367 0.009910882 0.009031691 0.009711066 0.010350478 0.00951125 0.012388603 0.011909043 0.010590257 0.011149743 0.011549375 0.011349559 0.01063022 0.0120289335 0.0109099625 0.010390441 0.01075011 0.012308676 0.011669264 0.012148823 0.011149743 0.010110698 0.010949926 0.011629301 0.011069816 0.01063022 0.010949926 0.011829117 0.01198897 0.011749191 0.0098709185 0.00951125 0.009830955 0.011029853 0.009591176 0.0109898895 0.009311434 6.58048 0.0 0.0 0.0 16.0 982016.0 991232.0 0.0 0.0 22.0 1.0 1.0 0.0 0.0 0.0 1346857600.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.0 1.0 7.0 0.0 5.0 1.0 4.0 0.0 1024.0 512.0 4096.0 3.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1024.0 -978944.0 1536.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.5093837 -7.9993296 3.7539573 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -738.0 -978612.0 1168.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 120.0 986104.0 1168.0 987136.0 0.0 0.0 0.0 0.0 64.0 986740.0 0.0 0.0 0.0 0.0 0.0 0.0 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: 0.20921494 0.0069207316 0.0046493905 0.004717988 0.0065625 0.003742378 0.0032469511 0.004710366 0.004847561 0.0032926828 0.002835366 0.0021570122 0.0046493905 0.0030335365 0.0024085366 0.004519817 0.0050762193 0.0034527439 0.0025152438 0.0022789633 0.004047256 0.0029115854 0.0019664634 0.0024542683 0.0045579267 0.004245427 0.0028734757 0.0039786585 0.0064557926 0.0037652438 0.0024466463 0.0021112806 0.0039710365 0.0025228658 0.0021570122 0.002644817 0.013772866 0.004512195 0.0041234754 0.004260671 0.004710366 0.003445122 0.0039786585 0.0037728657 0.0026067074 0.0029954268 0.0021493903 0.0019893292 0.0048856707 0.0032317073 0.0032850609 0.0046798782 0.003132622 0.0028658537 0.0034679878 0.0028125 0.0035137194 0.0025304877 0.0031478659 0.0033231708 0.0035213414 0.0025533536 0.0024085366 0.0066692075 0.012012195 0.0026295732 0.002035061 0.0020884147 0.0062118904 0.0027515243 0.0022256097 0.0022484756 0.0028734757 0.0022179878 0.0016387195 0.0035213414 0.004954268 0.0027439024 0.0050228657 0.0024161586 0.005579268 0.0031859756 0.0031631098 0.0028582318 0.0032850609 0.0030640245 0.0033689025 0.0033536586 0.0031935975 0.0019969512 0.0018902438 0.0026371952 0.0026829268 0.002484756 0.0029039634 0.0025838416 0.002652439 0.002202744 0.0019969512 0.002012195 0.0029801829 0.0029115854 0.002789634 0.0019512195 0.0054192073 0.0024695122 0.0037042683 0.0018445122 0.0030259145 0.0019817073 0.0024466463 0.0020045731 0.0034375 0.0017454268 0.002667683 0.002675305 0.005213415 0.003429878 0.002202744 0.004512195 0.002782012 0.0017987805 0.0015396342 0.0022103658 0.0031631098 0.0019817073 0.0021189025 0.0021341464 0.00808689 0.0030182926 0.0022713414 0.006532012 0.005670732 0.006859756 0.002370427 0.0025914635 0.0038871951 0.0062271343 0.002820122 0.010068597 0.0033155489 0.006417683 0.0019131098 0.0018368902 0.0035137194 0.0017987805 0.0017987805 0.002027439 0.002477134 0.0018216464 0.0018216464 0.001722561 0.0020426828 0.0027667682 0.0016920732 0.0016463414 0.0022256097 0.0017682926 0.0017301829 0.0018368902 0.0021875 0.002309451 0.0019207317 0.0036814024 0.0041158535 0.0019512195 0.0019283537 0.0019588415 0.0019131098 0.001570122 0.0016615854 0.001714939 0.0020960367 0.0017378049 0.002035061 0.0019207317 0.0025304877 0.0016463414 0.0019054879 0.0017454268 0.0024085366 0.0018445122 0.0023856708 0.0019283537 0.002835366 0.0022256097 0.0020731706 0.0018597561 0.0021036586 0.001875 0.0018521341 0.0019740853 0.0053658537 0.0028887196 0.003269817 0.0032240853 0.003932927 0.0019740853 0.0032088414 0.0032164634 0.0022789633 0.0026143293 0.0019283537 0.0018445122 0.0072484757 0.0019435976 0.002317073 0.0025685977 0.00472561 0.004992378 0.0021722561 0.0024237805 0.0017987805 0.0018140244 0.0021341464 0.0019664634 0.0026829268 0.0019969512 0.0018445122 0.0018216464 0.0018978659 0.0017301829 0.0017987805 0.0017987805 0.0023780488 0.0024695122 0.0021722561 0.0018292683 0.0023018292 0.0019435976 0.0017454268 0.0016539635 0.006737805 0.0022408536 0.0019512195 0.0030487804 0.0024085366 0.002035061 0.0019207317 0.0018902438 0.0028582318 0.0022408536 0.002035061 0.0020045731 0.0021417683 0.0018445122 0.0030945123 0.002347561 0.003254573 0.0019969512 0.0019664634 0.002012195 0.0024542683 0.002027439 0.007865854 0.021112805 0.03923936 0.0 3.8447342e-06 0.0 1.9223671e-05 1.5378937e-05 3.8447342e-06 3.8447342e-06 7.6894685e-06 3.8447342e-06 7.6894685e-06 7.6894685e-06 1.1534203e-05 3.8447342e-06 1.1534203e-05 3.0757874e-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 0.0073703555 8.073942e-05 1.5378937e-05 1.5378937e-05 1.1534203e-05 1.5378937e-05 1.9223671e-05 2.3068405e-05 0.00020761565 1.5378937e-05 1.9223671e-05 1.5378937e-05 1.5378937e-05 1.1534203e-05 1.1534203e-05 2.691314e-05 0.013879491 0.0001576341 0.00023837353 1.5378937e-05 0.00028835508 6.536048e-05 0.00019992619 0.00016916831 0.00011534203 0.000103807826 3.0757874e-05 0.000103807826 3.8447342e-05 3.460261e-05 2.691314e-05 0.0002806656 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.029696727 0.0011226624 0.005336491 0.00043061023 0.001649391 0.00035371556 0.0008073942 0.0011495756 0.0021953431 0.00031142347 0.00014994464 0.0003575603 0.00018839198 0.0003960076 0.00031142347 0.0027874324 0.0053634043 0.004559855 0.00021530512 0.0026105745 8.073942e-05 9.9963094e-05 0.00016147883 6.920522e-05 4.613681e-05 6.920522e-05 4.613681e-05 8.073942e-05 4.229208e-05 0.00041907604 0.00011149729 0.0017724225 0.016001783 0.004525252 0.0055364175 0.002502922 0.0005728654 0.0011534203 0.00071127585 0.00056517596 0.0011611098 0.00026528665 0.00086890993 0.00018070251 0.00086122047 0.00023837353 0.0005574865 0.0036678766 0.017135981 0.0007304995 0.0056632934 0.0033333846 0.00159172 0.00063438114 0.0006920522 0.00040754184 0.0016724594 0.0002575972 0.00048443652 0.00038447342 0.0011995571 0.001287986 0.00066898373 0.0032257321 0.04323019 0.0059554935 0.0028758612 0.0018992987 0.0071089137 0.0025682824 0.0031488372 0.004040816 0.0087890625 0.0011111283 0.001953125 0.0013264333 0.0011918676 0.0031180794 0.0015724963 0.0045983023 0.0027259167 0.002502922 0.0021645853 0.008485328 0.0006920522 0.0010111651 0.00084584154 0.0017378199 0.000680518 0.00058824435 0.002345288 0.00069974165 0.0005690207 0.0027412956 0.0005075049 0.003198819 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.04088106 0.006424551 0.010580708 0.006482222 0.010330801 0.008858268 0.005136565 0.006043922 0.01908526 0.0026221087 0.0021799642 0.0031795953 0.010334645 0.0026413323 0.0058978223 0.008927473 0.025309885 0.0044214446 0.006812869 0.0060708355 0.008727547 0.007927842 0.0038370448 0.004759781 0.013464259 0.0025490588 0.002053088 0.0021799642 0.009208138 0.002053088 0.004171537 0.0066898377 0.026155727 0.025056133 0.02453325 0.024537094 0.026809331 0.025717428 0.026697835 0.02472933 0.02710922 0.025052289 0.024836984 0.024936946 0.026567115 0.024960015 0.025190698 0.026559424 493.0 8.827586 4352.0 0.014705882 0.011259191 0.006204044 0.0052849264 0.02389706 0.008501838 0.008731618 0.005744485 0.010110294 0.0029871324 0.0045955884 0.0029871324 0.009420956 0.0071231616 0.0071231616 0.008961397 0.020909926 0.014705882 0.014476103 0.014476103 0.01608456 0.01608456 0.01585478 0.016314339 0.020680146 0.012178309 0.01907169 0.01171875 0.014476103 0.006663603 0.01148897 0.005974265 0.010110294 0.014246323 0.0045955884 0.005974265 0.03216912 0.0045955884 0.0052849264 0.01585478 0.01194853 0.014016544 0.0025275736 0.00390625 0.013327206 0.005744485 0.012408088 0.0036764706 0.021829044 0.008501838 0.010569853 0.008731618 0.013097427 0.0071231616 0.00804228 0.006663603 0.017693015 0.005514706 0.0036764706 0.005744485 0.009191177 0.005744485 0.005055147 0.006663603 0.006663603 0.01148897 0.0068933824 0.009420956 0.01539522 0.01953125 0.004365809 0.0078125 0.014476103 0.007352941 0.009880515 0.005514706 0.01539522 0.005974265 0.006663603 0.009420956 0.018612131 0.0045955884 0.011259191 0.008961397 0.01930147 0.0034466912 0.0048253676 0.056525737 0.00804228 0.0032169118 0.00390625 0.005974265 0.009420956 0.0013786765 0.005514706 0.005744485 6.310628 2.0 0.0 0.0 2.0 131200.0 131072.0 1.0 0.0 25.0 1.0 1.0 0.0 0.0 3.0 1398858600.0 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 6.0 0.0 4.0 0.0 4.0 1.0 38144.0 4096.0 4352.0 6.0 0.0 0.0 2.0 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 8192.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4096.0 -4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -36864.0 -4096.0 69632.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 3.8226953 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.1231427 -7.462 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.476688 -5.144722 7.6700835 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 6848.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3448.0 -3096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -32770.0 -2728.0 69336.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 1.0 1.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 -1.0 1.0 0.0 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 -1.0 0.0 0.0 -1.0 0.0 1.0 -1.0 0.0 -1.0 2.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 -1.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 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 1.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 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 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 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 -1.0 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 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 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 2.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 -1.0 0.0 0.0 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 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 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 1.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 -1.0 0.0 1.0 -1.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 -1.0 -1.0 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 -2.0 0.0 0.0 1.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 2.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -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 1.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 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 0.0 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 1.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 1.0 0.0 -1.0 1.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 120.0 53248.0 69336.0 57344.0 0.0 0.0 0.0 0.0 3108.0 126976.0 28.0 40960.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1108.0 54476.0 0.0 0.0 0.0 0.0