Input: 0.060617954 0.00358794 0.00334998 0.0033051695 0.0033955635 0.0032734931 0.0032433618 0.0031097026 0.0034488726 0.0033067148 0.0032093676 0.0032456797 0.0034929106 0.0033013066 0.0032897177 0.0034898203 0.0032364086 0.0032016416 0.0031915978 0.0031406065 0.0032495426 0.0033113505 0.0032402715 0.0032387262 0.0031545132 0.0032812192 0.0032572686 0.0033113505 0.0032549507 0.0035099078 0.004964708 0.005410496 0.0034218316 0.0033175312 0.0032503153 0.0033739307 0.0035979839 0.0034604615 0.0031823267 0.0035006367 0.003356161 0.0033515254 0.0033445721 0.0034635519 0.0034110153 0.0033492076 0.0034102427 0.0033978813 0.003404062 0.00336775 0.0033260297 0.0035330856 0.003375476 0.003471278 0.0034287851 0.0033592514 0.003360024 0.0034318755 0.0033306654 0.003431103 0.003431103 0.0033646596 0.0032904902 0.003277356 0.0037385966 0.0033252572 0.003476686 0.0031830992 0.0032719478 0.004198292 0.0049809325 0.0033646596 0.0034125606 0.0074571054 0.0045382343 0.0039611044 0.0032742657 0.0038398067 0.0033105777 0.0032819917 0.004596179 0.0033731582 0.0049569816 0.0035848496 0.0035639897 0.0034125606 0.0035701704 0.0035415844 0.003283537 0.0032541782 0.0033723856 0.0032510879 0.003323712 0.0033878374 0.0033275748 0.0033468897 0.0033152134 0.003400199 0.00338861 0.003396336 0.0034550533 0.0036520655 0.0034048345 0.0034125606 0.003451963 0.0034303302 0.0034697328 0.0034650972 0.0051238625 0.005196487 0.00440303 0.0034473275 0.0034990914 0.0034280126 0.0036296602 0.0035647622 0.0036350684 0.0037594566 0.0032812192 0.0043018195 0.0039417893 0.0034056073 0.0032039594 0.0034975463 0.0033453447 0.0033986538 0.003288945 0.0033275748 0.0034226044 0.003356161 0.0033036245 0.0034836396 0.003288945 0.003438829 0.0033051695 0.0032248194 0.003315986 0.003476686 0.0032912628 0.0044911057 0.003476686 0.0034365111 0.003315986 0.0035354034 0.003384747 0.0044710184 0.0031985512 0.003312123 0.0032974437 0.0033298926 0.0035168612 0.0037200542 0.004036046 0.0036257973 0.003584077 0.0032472247 0.003540039 0.0032858546 0.0032248194 0.0032866274 0.004858862 0.0043072277 0.0039742384 0.0032093676 0.0032279098 0.003214003 0.0056136893 0.0033476625 0.00536105 0.003823582 0.0031830992 0.0032340907 0.004994839 0.0031753734 0.003132108 0.0032727206 0.0033283476 0.0033268023 0.0034334208 0.0032503153 0.0033167587 0.0032750382 0.0032812192 0.0031861896 0.0032704028 0.0032271373 0.0033020792 0.003331438 0.0033322105 0.0032827642 0.0033376187 0.0033414816 0.00358794 0.0033492076 0.0033368461 0.0034303302 0.0034434644 0.0033098052 0.0032974437 0.0036760161 0.0035384938 0.0034967735 0.0034681875 0.0034782314 0.003459689 0.0032874 0.0033708403 0.0033893827 0.003415651 0.0033414816 0.0034496451 0.0033708403 0.003321394 0.003348435 0.003496001 0.0033453447 0.0034295577 0.0033986538 0.003288945 0.0033700678 0.0033468897 0.0034349659 0.0033716129 0.0033376187 0.004494969 0.0039240196 0.0033399365 0.004009778 0.0033183037 0.0033175312 0.0037347334 0.0040708133 0.005790614 0.0037671826 0.0036219344 0.0037470951 0.0044841524 0.0050450577 0.0051292707 0.003946425 0.0036381588 0.003423377 0.0034542808 0.0036636547 0.0037015118 0.0038452148 0.004127213 0.003929428 0.0040661776 0.0036767886 0.0039410167 0.0046904357 0.004892084 0.0044609746 0.01062089 0.022484887 0.002347848 3.866043e-07 0.0 2.319626e-06 1.159813e-06 3.866043e-07 3.866043e-07 3.8660432e-06 0.0 1.9330216e-06 3.4794389e-06 2.319626e-06 7.732086e-07 2.319626e-06 4.2526476e-06 3.8660432e-06 0.0037392369 1.5464173e-06 0.0 1.5464173e-06 0.0 1.9330216e-06 4.2526476e-06 2.590249e-05 9.278504e-06 8.505295e-06 8.505295e-06 0.0 1.1211525e-05 8.118691e-06 1.08249205e-05 0.00012796604 0.0048592295 7.7320865e-06 2.7062301e-06 1.7397195e-05 1.5464173e-06 2.319626e-06 1.9330216e-06 5.7990646e-06 2.1263237e-05 1.159813e-06 9.7037686e-05 8.118691e-06 1.1984734e-05 8.505295e-06 3.054174e-05 0.000465085 0.006649981 1.5850777e-05 1.2757942e-05 2.9381928e-05 7.7320865e-06 9.278504e-06 3.0155137e-05 5.4897813e-05 2.5515885e-05 1.6237382e-05 4.7165726e-05 1.5850777e-05 4.1753265e-05 2.2036445e-05 4.7165726e-05 0.00089189614 0.005217612 1.701059e-05 7.7320865e-06 2.3969467e-05 5.4124603e-06 1.8557008e-05 5.5671022e-05 6.185669e-05 3.2861368e-05 1.8170404e-05 0.0003135361 2.2809654e-05 5.2191583e-05 6.804236e-05 6.30165e-05 0.0011474416 0.003883827 1.3531151e-05 1.4690964e-05 4.3686287e-05 9.665107e-06 1.1211525e-05 0.00010245015 0.00010206354 1.3144547e-05 6.069688e-05 0.0009324896 2.4356072e-05 1.3144547e-05 6.224329e-05 7.538784e-05 0.00017977101 0.002550042 1.2371338e-05 1.5077569e-05 3.9047034e-05 7.345482e-06 3.7887225e-05 9.7810895e-05 7.3068215e-05 1.0438316e-05 0.00011984734 0.00055980304 1.9330215e-05 4.561931e-05 6.726915e-05 6.185669e-05 0.0002420143 0.0037295718 2.0876632e-05 2.2036445e-05 6.6109336e-05 2.2809654e-05 8.698597e-05 0.00020451368 0.00013144547 5.6830835e-05 0.0002153386 0.00082694663 3.402118e-05 0.00011288846 0.00012835264 0.00014729625 0.0005281015 0.0019318617 2.7062302e-05 1.1211525e-05 5.5284418e-05 2.4356072e-05 6.378971e-05 0.00011520809 9.046541e-05 7.8480676e-05 0.00022809654 0.00063016504 3.2861368e-05 6.1470084e-05 8.5826156e-05 0.00013067226 0.00039201678 0.0051654205 6.340311e-05 0.0001345383 0.00020837973 0.0003139227 0.0003232012 0.00088068465 0.00045155385 0.00012757942 0.00015116228 0.00039897565 0.000126033 0.0002779685 0.00024394732 0.000322428 0.0011037553 0.004386799 0.00037075355 0.00010824921 0.00017513176 0.0014799213 0.00082037435 0.0018758042 0.00096419116 0.0004890545 0.0011915145 0.0030808498 0.00012255357 0.00026405076 0.000285314 0.001332625 0.0012634229 0.003605472 8.853239e-05 0.00025631866 0.00020915293 0.0048553636 0.002203258 0.0029335537 0.0011849422 0.0008493697 0.0019871462 0.002897986 0.00042526473 0.00072024384 0.00056057627 0.0015719332 0.00415445 0.0059440415 0.0028036544 0.002173103 0.0015382986 0.0036000593 0.0019469394 0.0026084194 0.0020358583 0.0017227088 0.001971682 0.0019523518 0.0013565945 0.0023130537 0.0018792836 0.007052436 0.017692173 0.0045847404 0.0025338046 0.0014408743 0.0018448757 0.0019477125 0.0014393278 0.0009034943 0.001167545 0.0015421646 0.00080181734 0.0007662498 0.00062475255 0.0012924182 0.0010732135 0.005134105 0.010115889 0.002226841 0.00050335884 0.00032938688 0.00049485354 0.0008976952 0.0007333884 0.00030812365 0.0007268161 0.0008400912 0.00012100715 0.00015502833 0.0001527087 0.00040941397 0.00017629156 0.00046160555 0.0009645778 0.04960056 0.049487285 0.049674403 0.049445145 0.049460225 0.049464088 0.049290117 0.049433935 0.049364347 0.04918032 0.049280066 0.04987041 0.04931177 0.04940455 0.049322207 0.04938445 5447.0 9.292455 50616.0 0.006499921 0.0054330644 0.0055911173 0.0050379327 0.0056306305 0.0060850326 0.0048798798 0.005610874 0.0049391496 0.005215742 0.0048996364 0.0050379327 0.005275012 0.005551604 0.006440651 0.006183815 0.0057886834 0.0054330644 0.0058479533 0.0059862495 0.0057886834 0.005373795 0.0057294136 0.0050576893 0.0056701438 0.0056899004 0.005610874 0.005512091 0.0051959855 0.005077446 0.006104789 0.0057886834 0.0056306305 0.0074087246 0.006341868 0.0062628416 0.006756757 0.006302355 0.0060257628 0.006203572 0.0064801644 0.11192113 0.036371898 0.02299668 0.007191402 0.017998261 0.0063813813 0.0058281966 0.031057373 0.0063616247 0.04490675 0.008179232 0.010668564 0.006559191 0.0060257628 0.0060455194 0.0052947686 0.004958906 0.005709657 0.00586771 0.0051367157 0.0056899004 0.0056899004 0.0054330644 0.0054923343 0.008416311 0.006539434 0.0067172437 0.008100205 0.0145013435 0.0063813813 0.00790264 0.006974079 0.009621464 0.005452821 0.006144302 0.05365892 0.053540383 0.03228228 0.010016596 0.0071518887 0.0064801644 0.009858543 0.010115379 0.01062905 0.0072506717 0.006598704 0.030543702 0.020171488 0.00685554 0.0059862495 0.0063616247 0.0066184606 0.0051564723 0.005452821 0.005373795 5.9407206 0.0 1.0 0.0 18.0 1294336.0 557056.0 0.0 0.0 155.0 0.0 1.0 0.0 0.0 0.0 1260053500.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 6.0 0.0 6.0 0.0 4.0 0.0 4.0 0.0 23552.0 1024.0 4096.0 5.0 1.0 0.0 1.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4608.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1024.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -23552.0 0.0 240640.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.2640452 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.7090273 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.485008 0.0 5.6859636 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -167936.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4496.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -110488.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -23130.0 0.0 240328.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 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 0.0 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 -1.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 -1.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 1.0 0.0 -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 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 -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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 -1.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 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 -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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 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 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 29604.0 240328.0 315392.0 0.0 0.0 6496.0 13147368.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 652.0 28672.0 0.0 0.0 0.0 0.0


Input: 0.0072956714 0.0029204893 0.0025584819 0.0029848956 0.003211428 0.002021023 0.0026961782 0.0021342891 0.00309372 0.001556854 0.0021809281 0.00174341 0.0026717482 0.001652353 0.0023164034 0.0019854887 0.0032602877 0.001488006 0.0015479705 0.001394728 0.0024163441 0.0012792409 0.0015990512 0.0012970082 0.0025607029 0.0014324834 0.0015079941 0.0011837421 0.0022475554 0.0012059511 0.0014946688 0.0013369845 0.003024872 0.0014635761 0.0012947873 0.0015635168 0.001972163 0.0012303811 0.0013547518 0.0013369845 0.002043232 0.0011948466 0.0013658563 0.0016878874 0.0019010942 0.0010993477 0.0014391461 0.0010949059 0.024538774 0.047136478 0.02379477 0.0229797 0.018848816 0.022604367 0.023090744 0.019503983 0.024674248 0.019095337 0.0012281602 0.0014857851 0.0023697051 0.00093277986 0.0011593121 0.0011570912 0.0027583633 0.042594727 0.0016212603 0.0014791224 0.04253476 0.0012814619 0.0016234812 0.0012570319 0.002116522 0.0011992884 0.0013036709 0.0011948466 0.0018988734 0.0011615331 0.001556854 0.0011837421 0.0024429949 0.0015235405 0.0016234812 0.0016945502 0.0017411892 0.0015168778 0.0018544552 0.0016079348 0.00174341 0.00081063015 0.0011637539 0.0010815805 0.0016945502 0.0009394426 0.0012214974 0.0013680771 0.0020076977 0.0012370438 0.0010105115 0.0010082907 0.04245037 0.082504384 0.0013236591 0.08232004 0.0019210824 0.0015213196 0.042006187 0.0009372217 0.0015946095 0.0009927443 0.0012237184 0.0013169964 0.042665794 0.00087503635 0.0021698237 0.04191069 0.0020854294 0.0017811654 0.0011881839 0.0010749177 0.001556854 0.0013503099 0.0008350601 0.00091057085 0.001603493 0.0009705353 0.0011970676 0.0012192766 0.0021431728 0.001721201 0.0014302625 0.0019410705 0.0015435286 0.001419158 0.0013014501 0.0010838014 0.0016434693 0.0019321869 0.00132588 0.0021498355 0.0013991698 0.001814479 0.0010882432 0.00087725726 0.0018433507 0.0010416042 0.0011637539 0.0012303811 0.0010771387 0.0010638132 0.0010304997 0.0010282787 0.0011082314 0.0010171742 0.0011593121 0.0007573284 0.0015701795 0.00085504825 0.0014924478 0.0010638132 0.0013614144 0.0010904641 0.00086393184 0.0007950838 0.0010771387 0.0009172335 0.0010571505 0.00095498894 0.0011570912 0.0009483262 0.00083283917 0.00085949 0.0011548704 0.0009350008 0.0009394426 0.00077509566 0.0015302032 0.00088836177 0.0008061883 0.0007595493 0.0011681957 0.00092167535 0.000997186 0.0007995256 0.0013081128 0.0011037895 0.0009261172 0.00090168725 0.0011926257 0.0008950245 0.00095720985 0.0011704167 0.0020099184 0.0019388496 0.001559075 0.0015524123 0.0011215567 0.0010371624 0.0012548111 0.0012370438 0.0016834456 0.0017123173 0.0010971269 0.00095720985 0.0008905827 0.0010393834 0.0009927443 0.0014169371 0.0014724596 0.0012770201 0.0012925664 0.0012725783 0.0009039081 0.00092167535 0.001023837 0.00085726916 0.0012525901 0.0008350601 0.0011237777 0.0011126732 0.0010838014 0.0009727562 0.001068255 0.0011437658 0.001834467 0.0011570912 0.0010638132 0.00090834993 0.0017145383 0.00077509566 0.0008439437 0.0011326612 0.0012859037 0.0008905827 0.00087281544 0.0014235998 0.0009860815 0.0010393834 0.0010749177 0.0010660342 0.001605714 0.00088836177 0.0009794189 0.0012881246 0.0008350601 0.0007417821 0.0010993477 0.0011748584 0.0013547518 0.0009283381 0.00096609344 0.0009727562 0.00095943076 0.000999407 0.0012503692 0.0019033152 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.23089795 0.08121522 0.0 0.24365458 0.08121856 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0011582745 2.3410745e-05 0.00010702055 5.5739867e-05 1.4492366e-05 1.2262771e-05 0.0003489316 0.00013712008 0.000112594535 1.3377568e-05 2.2295947e-06 3.344392e-06 2.7869934e-05 4.4591893e-06 0.00010033177 0.00016164561 0.0014882545 2.118115e-05 0.00027535495 0.0005183808 0.00030656927 9.698737e-05 0.0010735499 0.0005050032 5.5739867e-05 2.2295947e-06 4.4591893e-06 3.344392e-06 1.3377568e-05 6.688784e-06 2.0066353e-05 0.00017502319 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0020255868 0.00018728596 0.0001270869 0.000105905754 0.00019285995 0.00018951556 0.00027535495 0.00017836758 0.0003043397 9.9216966e-05 7.134703e-05 9.1413385e-05 0.00013934968 0.00011928332 0.00023410744 0.00022518907 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00071347033 0.0004604113 0.0003868347 0.00035673517 0.00026755137 0.00017502319 0.00014826805 0.00027646974 0.00016387521 0.00070343714 0.00011482413 0.00014380887 0.0003433576 8.2495004e-05 0.00013823487 9.1413385e-05 0.0369154 0.026649231 0.024251303 0.022488808 0.024845488 0.02362813 0.019915855 0.021143246 0.024239039 0.017753148 0.015587097 0.016141152 0.02105072 0.017466646 0.017608225 0.017348478 1240.0 238.47823 295713.0 0.00091304746 0.0002299527 0.00027729588 0.00019951777 0.0002942042 0.0002603876 0.00026376927 0.0003077308 0.00043285213 0.00017246451 0.0002299527 0.0001893728 0.000355074 0.00020966274 0.00034492902 0.00016908286 0.034313675 0.070409484 0.034158118 0.03332623 0.025917022 0.03305908 0.033562947 0.028405922 0.03505764 0.027107364 0.00022318937 0.0001826095 0.000483577 0.00017246451 0.00024347931 0.00019613611 0.0004497604 0.06236114 0.00026376927 0.0002130444 0.062252928 0.00026715093 0.0003178758 0.0002130444 0.0003787456 0.00022657104 0.0002299527 0.0001420296 0.00038550893 0.00022318937 0.000365219 0.00022318937 0.0004971036 0.00021980771 0.0002705326 0.0003956539 0.00036860062 0.00029082253 0.00034492902 0.00027729588 0.0002942042 0.00015217457 0.00017246451 0.00017246451 0.0002942042 0.0001589379 0.0002062811 0.000246861 0.0004260888 0.0003314024 0.00018599114 0.00029758582 0.06241863 0.124424696 0.00027391422 0.12406624 0.00036860062 0.00046328703 0.06217515 0.00014879291 0.0004497604 0.00027391422 0.00035845567 0.00039903555 0.062367905 0.00014879291 0.00058164506 0.062364522 0.00055797346 0.000365219 0.00021980771 0.00015217457 0.0002942042 0.0002705326 0.00014541126 0.00013864794 0.00025024262 0.00013864794 0.00019275447 0.0002062811 4.19076 1.0 0.0 0.0 3.0 450267.0 983040.0 0.0 0.0 11.0 0.0 1.0 0.0 0.0 0.0 1316003600.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 6.0 0.0 4.0 0.0 4.0 0.0 159744.0 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 -158720.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 3072.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7.915513 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4.642075 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -159744.0 0.0 0.0 0.0 0.0 0.0 815104.0 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 0.0 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 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 664.0 981224.0 2280.0 978944.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 474304.0 0.0 0.0


Input: 0.19103627 0.011894262 0.005741632 0.005527313 0.010205729 0.0039750435 0.0040442785 0.0032491814 0.011716986 0.0024337992 0.0024470289 0.0019425413 0.008204095 0.0018534623 0.001251958 0.00821512 0.007140438 0.0013485338 0.0011809593 0.0010508685 0.0040729423 0.0022719575 0.0013679372 0.0009547337 0.0033660426 0.0011408296 0.0007787805 0.0017529175 0.0032183125 0.0010446948 0.00075188035 0.0008493382 0.006417663 0.0007302721 0.0009957454 0.0008577169 0.009694185 0.0015046427 0.0006054732 0.00070910476 0.0020699862 0.0007730477 0.00081053143 0.002165239 0.001770557 0.00091284007 0.0010125028 0.0007527623 0.0039119828 0.0022816593 0.0023301677 0.006065756 0.0025206734 0.0017061731 0.0018658099 0.0017771717 0.003078079 0.0034330725 0.0020033973 0.0044199983 0.0025444867 0.0021264323 0.0017736439 0.0035494927 0.009930994 0.0036601801 0.0021899343 0.0039887144 0.0059991674 0.013896337 0.0034074953 0.0026198952 0.0030476511 0.0052600754 0.0033783903 0.0011183394 0.0044777673 0.008278181 0.0022741624 0.0014574572 0.010162953 0.004576989 0.0029153554 0.004782047 0.0031821518 0.006267728 0.008010061 0.0056997384 0.003940647 0.0067898547 0.0028514126 0.0020197139 0.0015557971 0.0037739542 0.0030604396 0.0040747067 0.002660466 0.0044116196 0.0023879367 0.0023407512 0.0037347067 0.0080082975 0.0031764188 0.0015672627 0.0058333566 0.0062761065 0.005226561 0.0010513095 0.0037757184 0.0019570938 0.00421935 0.0044949655 0.0027927614 0.0006235536 0.004464538 0.0041042524 0.014194001 0.012772265 0.0016876517 0.0015813742 0.002016627 0.0011121655 0.000609883 0.00063678314 0.0024955373 0.0028320092 0.0016281187 0.0012047725 0.0034114642 0.0019196101 0.00055387785 0.01413491 0.0036853163 0.008682565 0.0022723984 0.0011276001 0.0025396359 0.011776519 0.0020505828 0.036032487 0.0012537219 0.011721396 0.0013361862 0.0015491822 0.003053384 0.0005269777 0.0005062514 0.00071527855 0.0012312316 0.0008449283 0.00070513587 0.0006076781 0.0011055508 0.0009397402 0.00042599204 0.0004670037 0.0010517505 0.0005979764 0.00072189333 0.0005428532 0.0010570424 0.0009428271 0.0004608299 0.00065442256 0.0011201033 0.0012360825 0.0004520102 0.00040173784 0.0013710241 0.00048287917 0.0004215822 0.0006442799 0.0012466662 0.00042555106 0.0004308429 0.0006191437 0.0014918541 0.00048023326 0.00042599204 0.00056225655 0.0011994807 0.00068749645 0.002108352 0.0011836052 0.0030048755 0.0008824121 0.00047053158 0.000610765 0.0012008037 0.00081229536 0.0010874703 0.00086212676 0.008025055 0.0028271584 0.002558598 0.004965938 0.0059436033 0.0007827493 0.0036103488 0.0035609584 0.0028183386 0.0022843052 0.0008149413 0.0011937479 0.009298622 0.0005631386 0.0017418929 0.0010442538 0.0019266659 0.00094150414 0.0012471072 0.0007064589 0.0013520618 0.00037616066 0.00063457823 0.0005895977 0.0023045905 0.0010283783 0.0005283007 0.001312814 0.0012876778 0.00082243804 0.00058210094 0.00067118 0.0024602583 0.001770557 0.0023949926 0.0006597144 0.0018450835 0.0012607777 0.00068705546 0.0006072371 0.019427618 0.0040971967 0.00115891 0.0044155885 0.0045897774 0.0006248765 0.0006985211 0.0006879375 0.003962696 0.0013335403 0.0009679633 0.0012409333 0.002839065 0.00068308663 0.0024210108 0.002319143 0.004950063 0.0015553561 0.0009622305 0.0016713352 0.0073909177 0.00256389 0.0065199714 0.048032146 0.026439117 3.1551837e-05 2.7800921e-05 8.163763e-06 2.184358e-05 0.0 6.0897255e-05 6.68546e-05 2.6477067e-06 0.0 0.0 0.0 0.0 6.6192666e-07 0.0 1.1032112e-06 0.013731448 2.8021563e-05 5.6043125e-05 2.4050003e-05 3.97156e-05 0.00010061286 0.00015555277 0.00021821517 0.00010193671 4.4128444e-07 0.0 0.0 0.0 3.5302755e-06 4.4128444e-07 0.0 0.012328605 6.4868815e-05 0.00014010782 7.656285e-05 0.000100833495 3.7067894e-05 0.0004399606 0.0002612404 6.5530745e-05 3.0889912e-06 1.7430735e-05 8.825689e-07 1.7651378e-06 6.3986245e-06 6.6192666e-07 1.1252753e-05 0.012143045 8.340276e-05 0.0002627849 0.00014650644 0.00017960278 1.4562387e-05 0.0006489088 0.00041149775 7.612157e-05 2.2064222e-07 5.0747713e-06 2.2064222e-07 0.0 1.9195873e-05 6.6192666e-07 1.6327525e-05 0.0060586147 0.000114513314 0.00012289772 0.000106128915 8.318212e-05 9.156652e-05 0.00033294913 0.00016084818 7.1708724e-05 9.9289e-06 9.266973e-06 1.1252753e-05 1.2576607e-05 2.0961012e-05 1.01495425e-05 1.34591755e-05 0.0007340767 1.34591755e-05 1.6548167e-05 2.1402297e-05 1.2797249e-05 2.0961012e-05 2.6256424e-05 1.7210094e-05 7.94312e-06 2.2064223e-06 5.0747713e-06 4.4128446e-06 1.7651378e-06 3.3096335e-06 2.6477067e-06 1.3679818e-05 0.0048466274 8.406469e-05 9.730322e-05 9.1787166e-05 0.0001092179 0.00034552574 0.0006826671 0.00034464317 3.4420187e-05 7.656285e-05 7.016423e-05 3.8171107e-05 3.8833034e-05 2.4932571e-05 2.471193e-05 0.00032037252 0.013174106 0.0003254473 0.0005043881 0.00027447892 0.0008408675 0.0016632011 0.001348124 0.0007113505 0.00020541792 0.00044900694 0.00016349589 0.00012664864 0.00013238534 0.00018864911 0.00022659957 0.002259597 0.009668102 0.00040818812 0.0010206909 0.0019118648 0.017213183 0.008375138 0.017819066 0.008187371 0.0003777395 0.00040686427 0.00011716102 0.00015952434 9.906836e-05 0.0001546702 0.00048210326 0.002284309 0.006418703 9.553808e-05 0.002545108 0.001324074 0.0042906087 0.0023911 0.00961625 0.0048433174 0.00021600875 0.00028176012 9.884772e-05 5.913212e-05 5.9794045e-05 8.384405e-05 0.00044746243 0.0011190973 0.0071499115 0.0003605294 0.0014926447 0.0008891882 0.0023571209 0.0014783029 0.003922798 0.0021746499 0.0009315515 0.00044547665 0.00026366746 0.00019725415 0.00023696975 0.00014032846 0.0007921056 0.0011168909 0.015806148 0.0025290013 0.002291811 0.017438458 0.004142999 0.0028826906 0.0036703835 0.0027284618 0.0037290743 0.0019893104 0.001597891 0.0017360131 0.0019877658 0.0014941891 0.0028231172 0.0036452303 0.021906905 0.0031543013 0.0023054907 0.0020989694 0.0052764383 0.0040865145 0.0024696484 0.0023012985 0.008401173 0.0016431226 0.0012768565 0.0016852653 0.003948834 0.0010500364 0.0031503297 0.006189235 0.07036281 0.011437652 0.009764081 0.008613211 0.019531911 0.02715113 0.009243806 0.013796538 0.048831657 0.0044907313 0.004077027 0.006494604 0.026099328 0.0056155655 0.020532746 0.037048038 0.051563866 0.0126602305 0.010265159 0.011360648 0.020072045 0.024175327 0.009708258 0.01763483 0.040132172 0.0033775913 0.0034731294 0.0057177227 0.018486729 0.0066819293 0.018061994 0.03447292 0.001351213 0.00088896754 0.000845501 0.0009900216 0.0007320909 0.0008752877 0.000963324 0.0009052951 0.00090463314 0.0008589602 0.00078085286 0.0008227749 0.00094346615 0.0008165969 0.0008437359 0.00093728816 12703.0 20.221758 256877.0 0.029434321 0.0007085103 0.0013002332 0.00068515283 0.00590555 0.0059756227 0.0007630111 0.001311912 0.0028067909 0.0012574111 0.0007941544 0.0008836914 0.0025459656 0.0025654302 0.0037761263 0.0018997419 0.011145412 0.00738875 0.007754684 0.0054306146 0.0068359566 0.0046208887 0.005418936 0.004912857 0.0064817015 0.0058432636 0.00708121 0.004971251 0.0055746525 0.004963465 0.0041654175 0.017144391 0.05734651 0.01995897 0.0085215885 0.021340953 0.018047549 0.01756872 0.004383421 0.0057109045 0.007127925 0.018927347 0.0013858773 0.002386356 0.017471397 0.0047143186 0.006325985 0.0038851278 0.01441546 0.0077001834 0.007233034 0.014411567 0.00936635 0.017346824 0.007867578 0.008346407 0.011223271 0.0021956034 0.01014104 0.0016817388 0.0026355025 0.0016428096 0.0018413482 0.010440795 0.0019192065 0.031999752 0.016548777 0.014800858 0.0192271 0.055894457 0.0074821804 0.009537639 0.010382401 0.04875096 0.0024213924 0.0035581233 0.021889854 0.012274357 0.0309292 0.03286398 0.011927888 0.0014637356 0.028332626 0.022929262 0.048649743 0.023684487 0.004325027 0.005045216 0.0061118747 0.0050062872 0.0015688442 0.00045936383 0.0018102049 0.00062675914 0.0005644725 0.0010744442 5.866948 0.0 56.0 12.0 5.0 2267648.0 2281472.0 0.0 2472.0 513.0 1.0 1.0 1.0 0.0 0.0 1540723300.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 9.0 0.0 5.0 0.0 5.0 0.0 1495040.0 1024.0 4096.0 5.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -93184.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 429056.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -173056.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1495040.0 0.0 62976.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.9313827 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.9106297 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.7055099 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.645993 0.0 6.442528 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -92792.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 428728.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -191420.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1494994.0 0.0 62536.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 1.0 0.0 0.0 -1.0 -1.0 1.0 0.0 0.0 -1.0 1.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 -1.0 -1.0 -1.0 1.0 -1.0 -1.0 0.0 0.0 0.0 1.0 1.0 -1.0 0.0 0.0 0.0 1.0 0.0 1.0 2.0 -1.0 0.0 1.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 -1.0 1.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 2.0 0.0 -1.0 1.0 0.0 0.0 0.0 1.0 0.0 -1.0 1.0 -1.0 1.0 0.0 0.0 0.0 -1.0 1.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 1.0 1.0 0.0 0.0 -1.0 -1.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 -2.0 0.0 0.0 0.0 1.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 3.0 2.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 1.0 -1.0 0.0 0.0 -1.0 0.0 1.0 0.0 1.0 -1.0 0.0 0.0 1.0 -1.0 -1.0 -1.0 0.0 0.0 0.0 -1.0 0.0 -1.0 -1.0 0.0 -1.0 2.0 0.0 1.0 0.0 0.0 2.0 0.0 -2.0 1.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 -1.0 -2.0 0.0 1.0 0.0 -2.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 1.0 0.0 -1.0 -2.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -2.0 0.0 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 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 -1.0 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 1.0 -1.0 0.0 -1.0 -1.0 0.0 1.0 -1.0 0.0 1.0 0.0 0.0 2.0 0.0 0.0 0.0 -1.0 -1.0 1.0 0.0 1.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 1.0 -2.0 -1.0 1.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 -1.0 -1.0 1.0 0.0 -1.0 0.0 -1.0 1.0 -1.0 0.0 0.0 0.0 -1.0 -3.0 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 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 2.0 0.0 0.0 0.0 -1.0 0.0 1.0 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 -2.0 0.0 0.0 -1.0 -1.0 1.0 1.0 1.0 0.0 0.0 -1.0 0.0 1.0 1.0 0.0 0.0 0.0 1.0 0.0 -2.0 -1.0 -1.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 1.0 -1.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 2.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 -1.0 0.0 2.0 0.0 -1.0 1.0 1.0 1.0 0.0 0.0 -1.0 -1.0 0.0 -1.0 0.0 1.0 -1.0 0.0 1.0 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 0.0 0.0 1.0 0.0 -1.0 -1.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 -1.0 0.0 1.0 1.0 0.0 0.0 -2.0 0.0 1.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 1.0 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 0.0 -1.0 -1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 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 -1.0 0.0 -1.0 0.0 0.0 0.0 2.0 0.0 -1.0 0.0 0.0 -2.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 -1.0 1.0 -1.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 1.0 1.0 1.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 -3.0 0.0 0.0 -1.0 -1.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 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 0.0 0.0 0.0 1.0 1.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 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 -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 0.0 0.0 -1.0 -1.0 -1.0 -1.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 1.0 2.0 0.0 -2.0 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 1.0 -1.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 -1.0 -1.0 1.0 -2.0 1.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 -1.0 0.0 0.0 1.0 -1.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 1.0 -1.0 -1.0 -1.0 -1.0 1.0 0.0 1.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 -1.0 0.0 -1.0 0.0 1.0 -1.0 -1.0 0.0 0.0 0.0 3.0 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 1.0 0.0 0.0 1.0 0.0 0.0 0.0 -2.0 -2.0 0.0 0.0 1.0 0.0 -1.0 0.0 -1.0 0.0 1.0 1.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 -1.0 0.0 -1.0 0.0 -1.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -2.0 0.0 -1.0 0.0 -1.0 0.0 1.0 0.0 0.0 1.0 2.0 -1.0 0.0 -6.0 2.0 1.0 -2.0 3.0 -9.0 4.0 -3.0 3.0 -11.0 0.0 -4.0 1.0 -5.0 9.0 2.0 -1.0 2.0 7.0 -5.0 -5.0 5.0 -6.0 -1.0 -10.0 -1.0 -3.0 0.0 -4.0 5.0 -1.0 -1.0 0.0 2.0 3.0 4.0 0.0 0.0 7.0 -1.0 -4.0 6.0 2.0 6.0 2.0 -2.0 -6.0 -2.0 9.0 0.0 -3.0 1.0 4.0 7.0 -4.0 -6.0 -6.0 -2.0 2.0 -6.0 5.0 2.0 -4.0 3.0 3.0 5.0 6.0 7.0 -1.0 10.0 3.0 -3.0 2.0 -3.0 -6.0 -4.0 -3.0 -11.0 -5.0 -1.0 -1.0 3.0 0.0 0.0 -3.0 0.0 6.0 1.0 -1.0 1.0 0.0 -2.0 -3.0 -5.0 0.0 5.0 7.0 5.0 3.0 -9.0 -4.0 2.0 -4.0 -5.0 -2.0 6.0 1.0 2.0 -2.0 1.0 5.0 7.0 -3.0 5.0 -1.0 3.0 -3.0 -4.0 -4.0 -6.0 -2.0 -3.0 0.0 5.0 -2.0 142600.0 1785264.0 440.0 1773620.0 62536.0 2121728.0 0.0 0.0 13312.0 2254336.0 74808.0 2187264.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 1700992.0 0.0 0.0 2200.0 1499136.0 0.0 0.0 0.0 0.0


Input: 0.3852385 0.023550576 0.0051192436 0.004348273 0.005921053 0.0021484375 0.0024568257 0.0031044409 0.007134046 0.0016858552 0.003279194 0.0019428454 0.004790296 0.0032689145 0.0017886513 0.00807977 0.005191201 0.0030941612 0.00086348684 0.001171875 0.0024773849 0.0033203126 0.0012335526 0.0005756579 0.0025904605 0.0009457237 0.0011821546 0.0010793585 0.0015625 0.0009662829 0.0019736842 0.001613898 0.018451892 0.0010999178 0.0007915296 0.0011307566 0.0021484375 0.0017475329 0.001408306 0.00089432567 0.0016858552 0.00078125 0.0003700658 0.0015625 0.00089432567 0.003279194 0.0013157895 0.00053453946 0.0021998356 0.0006990132 0.0007915296 0.0047800164 0.00095600326 0.0008429276 0.0005859375 0.0004009046 0.00090460526 0.0019942434 0.0009765625 0.0037212172 0.001613898 0.0006373355 0.0008429276 0.00070929277 0.0028782894 0.0015419408 0.001511102 0.0016858552 0.002189556 0.008388158 0.002549342 0.0012335526 0.0019325658 0.0011615953 0.0010587993 0.00049342104 0.0019017269 0.0028474506 0.002004523 0.00095600326 0.0058696545 0.0016961349 0.0015727796 0.0034231085 0.0015213815 0.003125 0.0046258224 0.0026418585 0.0014905428 0.0036287007 0.0009457237 0.0017783717 0.0009868421 0.002004523 0.0017166941 0.0017578125 0.0007401316 0.005386513 0.0017064145 0.0030530428 0.0044407896 0.010207648 0.01852385 0.0025390624 0.006198602 0.005499589 0.0031866776 0.001120477 0.004358553 0.002703536 0.004800576 0.007452714 0.0030838817 0.0004214638 0.006527549 0.0064761513 0.013486842 0.012068257 0.0016961349 0.0013569079 0.0010485197 0.0017372533 0.00052425987 0.00031866776 0.0019942434 0.00286801 0.00068873353 0.00053453946 0.0023745887 0.0018606086 0.0005139803 0.008758224 0.0027754933 0.008367599 0.00033922697 0.0001747533 0.0007606908 0.008398438 0.0011513158 0.018020147 0.001017681 0.0068050986 0.00047286184 0.00026726973 0.0009354441 0.0001953125 0.00015419407 0.00014391447 0.00065789477 0.0005550987 0.0001850329 0.00033922697 0.0005139803 0.00035978618 0.0003700658 0.00014391447 0.0004214638 0.00046258225 0.00016447369 0.00014391447 0.00091488485 0.0016241777 0.00013363487 0.00071957236 0.00081208884 0.0006064967 0.00024671052 0.00021587171 0.0007606908 0.0002055921 0.00044202304 0.0005448191 0.00090460526 0.00011307566 8.2236846e-05 0.00011307566 0.0007606908 0.0001850329 0.00013363487 0.00015419407 0.0011821546 0.0015727796 0.0008429276 0.0016858552 0.0013466283 0.0005859375 0.00044202304 0.0009251645 0.0006990132 0.0012643915 0.0007915296 0.0006373355 0.0064864308 0.0019325658 0.0017475329 0.003073602 0.0018811678 0.0003700658 0.0017372533 0.002189556 0.0016036184 0.0018914473 0.0008018092 0.00033922697 0.010587993 0.0009457237 0.0005448191 0.0004111842 0.0009971217 0.0010587993 0.0010074013 0.0008840461 0.00087376643 9.251645e-05 0.000832648 0.00072985195 0.001665296 0.0004214638 0.00045230263 0.0010587993 0.0011101974 0.00047286184 0.0005653783 0.0006476151 0.0027652138 0.0006167763 0.00086348684 0.00049342104 0.0013260691 0.00013363487 0.00049342104 0.00027754935 0.00807977 0.001983964 0.00025699014 0.0043893913 0.0033922698 0.00013363487 0.00030838815 0.00024671052 0.0025596218 0.00043174342 0.0004009046 0.00091488485 0.0024259868 0.00021587171 0.0016961349 0.0023643093 0.0045230263 0.001120477 0.00046258225 0.004348273 0.0044305096 0.003824013 0.0025390624 0.03879523 0.09560443 1.5583444e-05 0.0 5.194481e-06 1.0388962e-05 0.0 2.5972407e-05 0.0 0.0 5.194481e-06 1.0388962e-05 2.0777925e-05 1.0388962e-05 0.0 1.0388962e-05 2.5972407e-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 0.009157871 2.5972407e-05 0.00037400267 4.155585e-05 3.116689e-05 5.1944815e-05 0.00057658745 0.00023375166 1.0388962e-05 1.5583444e-05 2.5972407e-05 2.5972407e-05 2.0777925e-05 5.194481e-06 2.0777925e-05 2.0777925e-05 0.008976064 0.00010908411 7.791722e-05 6.233378e-05 9.869515e-05 8.31117e-05 0.00029089095 0.0003012799 0.00014544548 5.194481e-06 5.1944815e-05 0.00011947307 8.830618e-05 3.636137e-05 7.791722e-05 0.00011427859 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.014866605 0.00038439163 0.0014492603 0.00017661236 0.00034803024 0.00029089095 0.0022699884 0.0008882563 0.00011427859 6.752826e-05 7.272274e-05 6.752826e-05 6.752826e-05 7.272274e-05 6.752826e-05 7.272274e-05 0.10992561 0.0023167387 0.018855967 0.0018959857 0.0049035903 0.002924493 0.03174867 0.016897649 0.00039997508 0.00023375166 0.000280502 0.00021816822 0.00021297374 0.00019219582 0.00021297374 0.00027011303 0.054812167 0.0023011554 0.004565949 0.0014960107 0.0035010804 0.0029972158 0.013079704 0.0072826627 0.00095059007 0.0004726978 0.0004467254 0.00054542057 0.00079475564 0.0009869515 0.00077917223 0.0007324219 0.019339055 0.0009557846 0.0009246177 0.0005038647 0.0011064245 0.000992146 0.0023998504 0.0011635638 0.0009869515 0.00018180684 0.0001973903 0.0004726978 0.0007220329 0.0006441157 0.00071164395 0.0006129488 0.017520986 0.00079995015 0.0008363115 0.0005142537 0.0010492853 0.0011427859 0.0029972158 0.0015531499 0.0011947308 0.00011947307 0.00032205784 0.0005661985 0.0008363115 0.00031686336 0.0006181433 0.0015271775 0.031104555 0.0020466256 0.0024881565 0.0016206782 0.003054355 0.0022492104 0.0046334774 0.0037244433 0.0025920463 0.0007843667 0.0010856466 0.0015635389 0.0020102642 0.0007895612 0.0016674285 0.0024154338 0.021785654 0.0028829372 0.0018180684 0.002742686 0.0018336519 0.003786777 0.009277344 0.0021349317 0.010492852 0.0007220329 0.0012051197 0.002675158 0.0034803026 0.0013245927 0.0035114693 0.015432804 0.047056805 0.010659075 0.003947806 0.007303441 0.009028008 0.014840634 0.010923995 0.0116719995 0.026559383 0.0017609292 0.0023479057 0.0042490857 0.015115941 0.0045607546 0.011251247 0.031488948 0.029167013 0.007599526 0.0030699384 0.0064463513 0.009640957 0.009796792 0.0043633645 0.009485123 0.019266332 0.0013142038 0.0024206282 0.0026907413 0.013542013 0.003978973 0.007090467 0.019063747 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 319.0 10.103448 3223.0 0.043748062 0.0006205399 0.0 0.00031026994 0.0021718896 0.0009308098 0.0018616196 0.00031026994 0.0009308098 0.0006205399 0.0 0.0043437793 0.0006205399 0.0031026993 0.004654049 0.00031026994 0.0012410798 0.0027924294 0.0031026993 0.0062053986 0.0021718896 0.0 0.0006205399 0.00031026994 0.0024821595 0.0018616196 0.00031026994 0.0068259384 0.0009308098 0.0 0.0012410798 0.0012410798 0.0021718896 0.008067018 0.0027924294 0.0074464786 0.0077567482 0.0077567482 0.0133416075 0.0068259384 0.005584859 0.0071362085 0.00031026994 0.0027924294 0.0065156687 0.0065156687 0.013651877 0.0108594475 0.013962147 0.013651877 0.013031337 0.019547006 0.009618368 0.004033509 0.019857276 0.0108594475 0.0108594475 0.016754577 0.004033509 0.004654049 0.0 0.0015513496 0.0043437793 0.017685385 0.0031026993 0.031026993 0.0068259384 0.021408625 0.015203226 0.07043128 0.09680422 0.013962147 0.0068259384 0.04002482 0.0083772885 0.0052745887 0.026372945 0.017064847 0.030406453 0.03257834 0.0155134965 0.0 0.04933292 0.036922123 0.059882097 0.013962147 0.0034129692 0.0052745887 0.005584859 0.011790258 0.0006205399 0.0 0.0012410798 0.0006205399 0.0 0.00031026994 5.469247 0.0 0.0 0.0 4.0 97280.0 110592.0 0.0 0.0 4.0 0.0 1.0 0.0 0.0 0.0 1247526800.0 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 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 0.0 0.0 0.0 6.0 1.0 9.0 0.0 6.0 1.0 5.0 0.0 54272.0 4096.0 4096.0 4.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -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 -22528.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -54272.0 0.0 15360.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.155296 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.119877 0.0 3.3593497 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3874.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -27612.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -53918.0 0.0 15048.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 100.0 55620.0 15048.0 90112.0 0.0 0.0 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 17688.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0


Input: 0.06769581 0.0061615775 0.004149291 0.004653762 0.0051006703 0.004397929 0.004244429 0.0036967867 0.005433253 0.0032059073 0.0032546753 0.0034625398 0.0054372507 0.0044882703 0.003060402 0.009506594 0.010228523 0.007913235 0.0027214235 0.0027717906 0.0036767998 0.004690538 0.0027805849 0.002720624 0.003964612 0.0028549363 0.0027845823 0.002814163 0.0033538106 0.0033753966 0.0028077671 0.0029388815 0.0040949266 0.0027661943 0.0029108997 0.0029860507 0.004347562 0.0035185032 0.0028413453 0.0028397462 0.0034489485 0.0027286187 0.0029692617 0.0034793287 0.0031899177 0.0030979777 0.0027518037 0.0028053687 0.0036296307 0.0028549363 0.0027086318 0.0046041943 0.003249079 0.0033506127 0.0027949754 0.0027965745 0.003486524 0.0032570737 0.002775788 0.0033450164 0.0032546753 0.0035992505 0.0026998376 0.0028157618 0.004479476 0.0039710077 0.004102122 0.003871073 0.004421114 0.005672297 0.0046681524 0.0051262537 0.0038079142 0.0030891835 0.0029492746 0.0029692617 0.0034473496 0.0035193027 0.0030180297 0.0030188293 0.004468283 0.0031627354 0.0042428304 0.003863078 0.0037999195 0.0037007842 0.0033114383 0.0032594723 0.0032786597 0.00317073 0.0026566656 0.0029340847 0.003292251 0.0034185683 0.003120363 0.003088384 0.0035328937 0.0031411494 0.002663861 0.003068397 0.0035512818 0.0036528155 0.0037847294 0.0028717252 0.015556245 0.005117459 0.0034377559 0.0027949754 0.0033889876 0.0031947144 0.0033538106 0.0033705996 0.0036760003 0.00294128 0.0033674017 0.0035137061 0.0043067886 0.004122109 0.0027685927 0.0028357487 0.0034041777 0.0029116992 0.0030212277 0.002832551 0.003267467 0.0032650686 0.0031179646 0.0029540716 0.0053469096 0.0036208364 0.0028901133 0.005416464 0.0052533704 0.0070322095 0.0030939803 0.0028445432 0.004128505 0.006021669 0.0031259593 0.010915275 0.003152342 0.0053788885 0.002939681 0.0028101655 0.0034673365 0.0027965745 0.0025575305 0.0027134286 0.0031323552 0.0030540063 0.0026942412 0.0026966396 0.0033450164 0.0026462725 0.0028197593 0.002902905 0.003238686 0.0028589338 0.0027949754 0.0029013061 0.003705581 0.0042931973 0.0029804544 0.0044586896 0.0032163004 0.002667059 0.0026110956 0.0027885796 0.0035145057 0.0027669936 0.002817361 0.0028733243 0.0032314905 0.0028605326 0.0026766527 0.0028821186 0.0036767998 0.0029037045 0.0026646606 0.0028821186 0.0031547407 0.0030691964 0.0037855287 0.003106772 0.006283898 0.0031683317 0.0029388815 0.0028253556 0.0031915165 0.003100376 0.0031763264 0.002999642 0.005023121 0.004811259 0.0032362873 0.0050630947 0.0034833262 0.002760598 0.0037359612 0.0065709106 0.0039853984 0.003088384 0.0028965091 0.0029045038 0.0046137883 0.002683848 0.0030188293 0.0029804544 0.0037487529 0.0029548712 0.002921293 0.0028565351 0.0032786597 0.0026031006 0.002827754 0.002806168 0.003650417 0.002870926 0.002852538 0.00284934 0.0036088442 0.0030180297 0.00286453 0.0027933766 0.0041644815 0.0029116992 0.0028077671 0.0028469416 0.0035888571 0.0029484753 0.002814163 0.0026814495 0.0053229253 0.0049039987 0.0028637305 0.0030108346 0.0037799324 0.0027230224 0.0028341499 0.0029388815 0.0040949266 0.0028341499 0.0027645952 0.0031027745 0.0037599455 0.0031307563 0.0033586074 0.0031211625 0.0040781377 0.003212303 0.0031371522 0.0035936541 0.0040877317 0.0035896567 0.003984599 0.023752494 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0006671843 3.6020747e-06 4.0823514e-05 2.0011526e-06 4.9228354e-05 1.2407147e-05 9.205302e-06 8.00461e-06 2.0011526e-06 1.6009221e-06 1.2006916e-06 1.6009221e-06 1.2006916e-06 1.6009221e-06 2.4013832e-06 1.560899e-05 0.0006651831 6.003458e-06 7.2041494e-06 1.0806224e-05 2.1612448e-05 1.8810835e-05 2.8416367e-05 2.6014985e-05 1.0005763e-05 1.2006916e-06 1.2006916e-06 8.0046107e-07 3.6020747e-06 1.2006916e-06 8.0046107e-07 1.6809683e-05 0.0021680489 3.6420977e-05 0.00024734248 3.2018443e-06 7.364242e-05 4.8828126e-05 0.00073442305 0.00039102524 3.1618212e-05 1.6009221e-06 5.202997e-06 2.4013832e-06 0.00013888 5.202997e-06 5.6032272e-06 0.00020491803 0.004655882 0.00011166432 0.00029977266 5.4031123e-05 0.00033979572 9.8856945e-05 0.0004626665 0.00032778882 9.365394e-05 4.0023053e-05 3.121798e-05 2.2412909e-05 0.00016089267 4.1623975e-05 5.24302e-05 0.0005843366 0.0031626218 5.122951e-05 0.00016849705 0.00013567816 0.00033459274 0.00017890305 0.00062556035 0.00033499295 7.6444034e-05 3.5620516e-05 4.2024207e-05 3.4019595e-05 0.000108062246 4.2824668e-05 2.8816597e-05 0.00037781763 0.003555648 0.00011446593 0.00018850858 0.00010325948 0.0006531762 0.0002449411 0.0011794794 0.000621558 8.725026e-05 9.405417e-05 8.3648185e-05 0.00011086386 0.0001953125 0.00011526639 0.00015008645 0.00069920276 0.0030257427 0.00011886847 0.00023173347 0.00018690767 0.00047947618 0.0001757012 0.00073202164 0.0005251025 0.00062435964 8.725026e-05 0.000110463625 0.00013167584 0.00019050973 0.0001993148 0.00046066535 0.00091692817 0.0034403817 0.00024213947 0.00029456968 0.00030617637 0.00046706904 0.00040983607 0.0010558082 0.0007324219 0.00031017867 0.00020291688 0.00022973232 0.00033339203 0.00032978997 0.00023413486 0.00037661692 0.0016905738 0.0017558114 0.00018010374 0.0002229284 0.00025894915 0.00035460424 0.00037461577 0.00038342085 0.00040183146 0.0005715292 0.00022573002 0.00030897796 0.00033579342 0.0003421971 0.00023493532 0.00050629163 0.0025586737 0.0055043707 0.0007616387 0.0005323066 0.00077924883 0.0013103548 0.0012175012 0.0008769051 0.0011170434 0.0028052158 0.00034259734 0.0003117796 0.0005455142 0.0013996061 0.00049348426 0.0014108126 0.0027227683 0.042941533 0.0140072685 0.0069976305 0.0075447457 0.012711722 0.009755219 0.013647461 0.0070408555 0.019580878 0.005454342 0.0075323386 0.008379627 0.012106173 0.0059038005 0.0082943775 0.018102027 0.066224545 0.046817366 0.041539527 0.041834097 0.04532851 0.042247534 0.046606045 0.040690236 0.04984151 0.040166337 0.041730437 0.043064404 0.045930855 0.041264568 0.04189093 0.047773916 4543.0 7.0308166 31941.0 0.018502865 0.0075451615 0.0072946995 0.007138161 0.008359162 0.0076390845 0.0060736984 0.008672239 0.007952162 0.0076390845 0.0076703923 0.007983469 0.006825084 0.0070129302 0.008609624 0.007795623 0.009392317 0.007764315 0.007795623 0.007952162 0.007889546 0.0073260074 0.006887699 0.0070129302 0.007482546 0.0075451615 0.0076390845 0.007764315 0.0075764693 0.007169469 0.0075138537 0.008108701 0.008954009 0.008954009 0.009361009 0.010331549 0.009267086 0.009361009 0.011458627 0.009423625 0.008766162 0.008327855 0.0073260074 0.006543314 0.008578316 0.0075138537 0.009361009 0.0072633917 0.010957703 0.008922701 0.0076077767 0.010738549 0.0102063175 0.007388623 0.0087974705 0.00948624 0.008891393 0.0068563917 0.008014778 0.007388623 0.009454933 0.007232084 0.007232084 0.010926396 0.009110548 0.01856548 0.00907924 0.01609217 0.014276322 0.03312357 0.009736702 0.010957703 0.024013024 0.026768103 0.009861933 0.0074199303 0.017031401 0.016467862 0.01978648 0.025766257 0.014338938 0.01224132 0.022040637 0.026204566 0.02504618 0.012022166 0.008421778 0.008140008 0.00948624 0.010143703 0.008891393 0.0076703923 0.008171316 0.007169469 0.007858238 0.0076703923 6.443255 0.0 2.0 0.0 13.0 1250816.0 1282048.0 0.0 0.0 114.0 0.0 1.0 0.0 0.0 0.0 1115757800.0 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 11.0 0.0 5.0 1.0 5.0 1.0 458752.0 1024.0 4096.0 4.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 32256.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -696320.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -458752.0 0.0 62464.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4.902584 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7.993995 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7.0463996 0.0 7.1195593 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 32006.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -718996.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -458426.0 0.0 62392.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 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 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 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 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 -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 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 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 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 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 0.0 0.0 0.0 0.0 0.0 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 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 492112.0 62392.0 1216512.0 0.0 0.0 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 486568.0 0.0 0.0 476.0 462848.0 0.0 0.0 0.0 0.0


Input: 0.18432625 0.025000628 0.015904922 0.0075881304 0.016080806 0.0048996205 0.00329154 0.0028895198 0.014698862 0.0025628784 0.0019849746 0.001934722 0.0133671705 0.004070454 0.0015327018 0.007236363 0.03198573 0.001155808 0.0009296716 0.0016834594 0.0056785345 0.0049749995 0.0014824494 0.0010301766 0.0039448226 0.001155808 0.0008040403 0.00090454536 0.0031659086 0.0024121208 0.001155808 0.0020101008 0.0049498733 0.0011809341 0.0007035353 0.001256313 0.017965276 0.0014321968 0.0006281565 0.0005025252 0.0011306817 0.0007537878 0.0004271464 0.0020603533 0.001356818 0.00052765146 0.000577904 0.00027638886 0.0017588382 0.00035176764 0.00090454536 0.0056785345 0.0013065655 0.0021106058 0.0009296716 0.0006281565 0.0023869947 0.0023367421 0.0014573231 0.0058292923 0.0020101008 0.0015075756 0.000577904 0.00065328274 0.004070454 0.0024623733 0.0012060604 0.0015829543 0.0077891406 0.008844444 0.004170959 0.0021608584 0.0022864896 0.0014824494 0.00082916656 0.0011306817 0.0048996205 0.0053770198 0.0015829543 0.0012814392 0.007889645 0.0033417926 0.0015327018 0.0052765147 0.0019849746 0.0041207066 0.008015277 0.0052011358 0.0013819443 0.0072112363 0.0004271464 0.0032412875 0.001834217 0.0038443177 0.0066584586 0.0048493682 0.0025377523 0.0038191914 0.0005025252 0.0008040403 0.0029648987 0.0017588382 0.0018844694 0.00015075755 0.0044976003 0.0005025252 0.0075630043 0.0003768939 0.00090454536 0.00052765146 0.00040202014 0.00040202014 0.0014321968 0.00065328274 0.0014824494 0.0021859845 0.01633207 0.01673409 0.0016583331 0.001256313 0.0012311867 0.0005025252 0.00022613634 0.00045227268 0.002613131 0.0031407825 0.0015327018 0.0005527777 0.0048744944 0.0024874997 0.00040202014 0.021859845 0.0048242416 0.00927159 0.00040202014 0.00022613634 0.0040453277 0.013945074 0.005125757 0.03746325 0.0010553029 0.0126636345 0.0010301766 0.0011055554 0.009849493 0.00017588382 0.0001256313 0.0008794191 0.00072866154 0.00082916656 0.00020101007 0.0002512626 0.00032664137 0.00027638886 0.000100505036 0.0001256313 0.00065328274 0.00015075755 0.0003015151 0.00022613634 0.00065328274 0.0022864896 0.000100505036 0.0011809341 0.000778914 0.0012311867 0.00022613634 0.00020101007 0.000678409 0.00047739892 0.00027638886 0.000577904 0.0003015151 0.00020101007 0.000778914 0.00017588382 0.0010553029 0.00035176764 0.0001256313 0.0008040403 0.0005025252 0.00022613634 0.0010553029 0.0004271464 0.0020101008 0.0006030302 0.0007035353 0.0006281565 0.00072866154 0.00032664137 0.0008542928 0.0011055554 0.011407322 0.005125757 0.0025880048 0.010829418 0.006206186 0.0007537878 0.003869444 0.0050755045 0.0028895198 0.0035428025 0.0011306817 0.001356818 0.004346843 0.0012060604 0.001557828 0.0008040403 0.0014824494 0.0024623733 0.0017588382 0.001256313 0.0008794191 0.0003768939 0.000678409 0.0010804292 0.0017085857 0.00052765146 0.0003768939 0.0014321968 0.0012060604 0.00022613634 0.0003768939 0.00022613634 0.0030402774 0.0011809341 0.00040202014 0.00027638886 0.0014824494 0.00035176764 0.0008794191 0.0005527777 0.019171337 0.0039196964 0.00052765146 0.0067589637 0.0048996205 0.0004271464 0.0006030302 0.000678409 0.0035428025 0.0013819443 0.0011809341 0.0023367421 0.0020603533 0.00040202014 0.003969949 0.0029146462 0.0055780294 0.002211111 0.0010050504 0.0013065655 0.0058795447 0.001557828 0.0037689388 0.041835222 0.054054055 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.024110537 0.0006994299 0.0002771326 3.959037e-05 0.0002639358 0.00011877112 0.000567462 0.00022434544 1.3196791e-05 9.237754e-05 1.3196791e-05 0.00011877112 7.918074e-05 0.0002771326 3.959037e-05 9.237754e-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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.015888935 0.0007126267 0.0009897593 0.0004091005 0.00060705235 0.00106894 0.00030352618 0.00036951015 0.0018343539 0.0010161529 0.0004091005 0.0002771326 0.0010161529 0.00017155828 0.00059385557 0.0013592694 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.09345967 0.0242557 0.011085304 0.012246622 0.02491554 0.026327597 0.010451858 0.024955131 0.055149388 0.0039590374 0.003523543 0.004341744 0.023160368 0.006664379 0.018990181 0.034892313 0.116567254 0.038006756 0.023239547 0.017789274 0.02627481 0.039933488 0.018105997 0.027106207 0.06542969 0.00998997 0.006506018 0.00678315 0.038666595 0.009132179 0.025601774 0.044380806 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 74.0 6.189189 458.0 0.026200874 0.0043668123 0.0065502184 0.0021834061 0.05676856 0.0 0.0021834061 0.0 0.01091703 0.0021834061 0.0 0.0021834061 0.0043668123 0.0 0.015283843 0.0 0.01091703 0.0 0.0021834061 0.008733625 0.008733625 0.0043668123 0.0 0.0021834061 0.0021834061 0.0021834061 0.0021834061 0.01746725 0.0021834061 0.0021834061 0.0021834061 0.0043668123 0.02183406 0.0 0.0021834061 0.0065502184 0.026200874 0.0 0.01091703 0.0021834061 0.019650655 0.0 0.0 0.0 0.013100437 0.0021834061 0.0 0.0043668123 0.08733624 0.037117902 0.01746725 0.08951965 0.015283843 0.019650655 0.041484717 0.048034936 0.0043668123 0.026200874 0.0 0.01746725 0.0 0.015283843 0.01746725 0.01746725 0.0043668123 0.013100437 0.0043668123 0.0043668123 0.015283843 0.008733625 0.0 0.0021834061 0.015283843 0.0065502184 0.024017468 0.0 0.0043668123 0.0043668123 0.008733625 0.008733625 0.0043668123 0.0 0.013100437 0.0043668123 0.05021834 0.01746725 0.0 0.0021834061 0.0021834061 0.0 0.0 0.0021834061 0.0043668123 0.0 0.0021834061 0.0043668123 5.4060907 0.0 0.0 0.0 1.0 39799.0 155648.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1176366600.0 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 6.0 0.0 4.0 0.0 4.0 0.0 86016.0 4096.0 4096.0 4.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -16384.0 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 -12288.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -86016.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.6626835 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -12940.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 20301.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -28561.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -83665.0 0.0 0.0 0.0 0.0 0.0 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 0.0 157.0 110256.0 200.0 105264.0 0.0 0.0 0.0 0.0 0.0 0.0 7036.0 139264.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 920.0 90112.0 0.0 0.0 0.0 0.0