Input: 0.1858088 0.035975613 0.07709284 0.021581847 0.036066916 0.0063676657 0.03837425 0.011206673 0.0074019874 0.0062020174 0.071202554 0.0058915904 0.010354304 0.0042259805 0.0047496627 0.0042096763 0.0035712144 0.027333224 0.008763692 0.014985926 0.0038333817 0.0031616595 0.01022909 0.0082054455 0.0026242817 0.0018984304 0.0019114736 0.0018893002 0.0012697506 0.0010688861 0.003138834 0.0040068557 0.0028349285 0.0012358384 0.002443634 0.001113885 0.0012306211 0.0026242817 0.0032027452 0.0010278001 0.027022144 0.0016519149 0.017101524 0.0036892549 0.0059737624 0.0035496932 0.0021945098 0.001640176 0.0051696524 0.0013017063 0.0027364527 0.0026151515 0.0024618944 0.0009351938 0.0021005992 0.0009736711 0.0014647457 0.0011288846 0.0013356184 0.0009267158 0.000923455 0.0011641011 0.0010988853 0.0013225754 0.0013519224 0.0010551908 0.0010323653 0.0007695458 0.0009801927 0.0014888755 0.0022212483 0.0012821415 0.0011256238 0.0009449762 0.0013923562 0.00096780166 0.0013675742 0.0010114962 0.0019486465 0.0011301889 0.0009671495 0.00065867906 0.0008914993 0.00083606585 0.00070889515 0.000575855 0.00057846366 0.00044803217 0.0022982028 0.0023425496 0.001138667 0.00091302046 0.000534117 0.000873891 0.0007369379 0.0005843331 0.0007336771 0.00049303105 0.0006612877 0.00049303105 0.00057520287 0.0006260712 0.0006371578 0.000517813 0.00061368017 0.00077019795 0.0006175931 0.0012658377 0.0005562903 0.0006645485 0.00051129144 0.047447715 0.008142838 0.0017523471 0.008712172 0.01190383 0.0021958142 0.0017340867 0.0006534618 0.00064172293 0.0005999849 0.00061563664 0.0008478047 0.017638251 0.0017249566 0.004428149 0.0038151213 0.00050411775 0.0013506181 0.0011634489 0.0010160613 0.0004910746 0.0005256389 0.00053346483 0.0007897627 0.0006228104 0.00048650947 0.00064433157 0.0004786836 0.00057715934 0.002907318 0.0027305833 0.0006175931 0.00073106855 0.00050281343 0.0004245545 0.00039455527 0.00044281493 0.0013499659 0.00048194436 0.0007173732 0.00040042467 0.00045781455 0.00048781378 0.00063259277 0.00042585883 0.0003971639 0.00096323655 0.00079041487 0.00051716086 0.00075845915 0.00088562985 0.004990309 0.00046824905 0.0004891181 0.00092541147 0.0020986428 0.0009156291 0.0013636613 0.00049629185 0.0018214758 0.0005810723 0.002132555 0.00080997957 0.0020940776 0.0022499433 0.0015358308 0.00061237585 0.0016525671 0.0008217184 0.0010245393 0.0008660651 0.0013408357 0.00052498677 0.00047020553 0.0011145371 0.00044281493 0.00051259575 0.0005699856 0.0007317207 0.00056085543 0.00045911886 0.00065737474 0.00038346858 0.0004336847 0.00049172674 0.00055563817 0.0005778115 0.0006358535 0.00054650794 0.0006697657 0.00070759084 0.00069715636 0.0006215061 0.00048781378 0.00072324264 0.00056085543 0.0005099871 0.0029673164 0.0014810496 0.0018045197 0.0004030333 0.0005582468 0.0006423751 0.000496944 0.0011354062 0.0004232502 0.00096975814 0.0005471601 0.00037759918 0.0011269281 0.0004936832 0.0011256238 0.0012058391 0.00044738004 0.0006658528 0.0005412907 0.00063128845 0.00037629486 0.000426511 0.00045651023 0.00033194816 0.00041933724 0.00048324867 0.00042129372 0.00036846896 0.0005132479 0.00033846972 0.0005517252 0.00041151137 0.0004186851 0.00044868432 0.0004402063 0.00032086147 0.00057063776 0.00053998636 0.0005406385 0.00039129448 0.00058042014 0.00077802385 0.0016708274 0.00046694474 0.00047411848 0.00051129144 0.0077880644 0.0012312733 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.005208551 0.00045401018 0.00085547136 0.00029179375 0.00017657764 0.00016613312 9.889653e-05 0.0004269197 7.2132454e-05 6.527824e-06 1.8277908e-05 9.073676e-05 1.2402866e-05 9.628541e-05 1.0444519e-05 3.6229423e-05 0.057491526 0.005709235 0.009315532 0.002512886 0.0016890746 0.0012177656 0.004157571 0.006072835 0.00090769393 0.0004856701 0.000919444 0.0007536373 0.0007317691 0.0011668486 0.00052548986 0.0012628076 0.31485328 0.045640264 0.052806508 0.015675591 0.011443276 0.009031571 0.031218993 0.034378786 0.007237072 0.004748013 0.006206982 0.0051187933 0.0050032507 0.0070210015 0.004457525 0.0073248716 0.09170157 0.01991117 0.011712222 0.005195169 0.0038974374 0.0025895878 0.010697798 0.013082412 0.00310039 0.0022700508 0.0060666334 0.0027172067 0.0016567617 0.003123564 0.0015268581 0.0045746993 0.046605073 0.02081103 0.0033314752 0.0031705643 0.0022178283 0.0014651702 0.008415344 0.009622992 0.0034460383 0.0014478714 0.007901605 0.0035481988 0.0012928356 0.0032723984 0.00059892784 0.0031735017 0.010765688 0.005396226 0.0005199412 0.000825117 0.0006488657 0.0005982751 0.0026010117 0.0023529541 0.0009070412 0.00042659332 0.0019818475 0.0010173614 0.0005649832 0.0010757854 0.00026437687 0.000802596 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 171.0 5.391813 922.0 0.013015185 0.0032537961 0.0032537961 0.0 0.0021691974 0.0054229936 0.0032537961 0.0 0.123644255 0.0032537961 0.021691974 0.01626898 0.007592191 0.0 0.018438177 0.0021691974 0.0010845987 0.0 0.0021691974 0.007592191 0.0 0.020607375 0.0 0.0021691974 0.0010845987 0.0021691974 0.0010845987 0.0 0.0021691974 0.0 0.0010845987 0.004338395 0.040130153 0.0021691974 0.0010845987 0.0010845987 0.0021691974 0.0 0.0065075923 0.0010845987 0.0021691974 0.007592191 0.0 0.0021691974 0.0 0.0 0.0065075923 0.0010845987 0.0054229936 0.0021691974 0.0021691974 0.004338395 0.004338395 0.02603037 0.0032537961 0.0 0.13340564 0.08026031 0.028199567 0.047722343 0.0021691974 0.0010845987 0.0021691974 0.0021691974 0.0010845987 0.0021691974 0.0010845987 0.0032537961 0.0010845987 0.007592191 0.0021691974 0.0021691974 0.0010845987 0.021691974 0.0021691974 0.09544469 0.028199567 0.004338395 0.0054229936 0.021691974 0.007592191 0.0032537961 0.01735358 0.014099783 0.0032537961 0.0010845987 0.004338395 0.027114967 0.0021691974 0.0032537961 0.0 0.010845987 0.0 0.007592191 0.0010845987 0.00867679 4.9122415 0.0 0.0 0.0 1.0 1533372.0 7872512.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1310554000.0 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 8.0 0.0 4.0 0.0 4.0 0.0 7845888.0 512.0 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 -7845888.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.7262774 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -12.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7845396.0 0.0 1024.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 83.0 7853496.0 1024.0 7856128.0 0.0 0.0 0.0 0.0 12.0 7864320.0 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: 0.15295075 0.0057661594 0.0027751843 0.001749812 0.004975661 0.0020624883 0.0012055647 0.0012429978 0.0078682825 0.0010734481 0.001357866 0.0014481457 0.0046446356 0.0015064972 0.0009479372 0.0029274856 0.0031612588 0.0013061202 0.0010275742 0.000757469 0.0021601077 0.008979531 0.0007295777 0.0006932456 0.0016859557 0.0012595124 0.00068260287 0.0005655328 0.0015501691 0.000516356 0.00056076195 0.000598562 0.0035792612 0.00053323765 0.0017226548 0.0016074197 0.0021028572 0.0038045936 0.0006224164 0.000598562 0.0016488896 0.00090683426 0.0006334261 0.00066682225 0.0017153149 0.00055892696 0.0023414013 0.00077031367 0.00402332 0.0022672692 0.0022980964 0.0035021931 0.0030104255 0.0019788144 0.0019762453 0.0020364318 0.0028570234 0.0020547814 0.0024665452 0.0023696595 0.0028816117 0.0020569833 0.002033863 0.0030794197 0.006862361 0.0024603063 0.0029428992 0.0010154635 0.0019164259 0.017157186 0.0008657313 0.0006055348 0.0030331789 0.0012437318 0.0012921746 0.000515989 0.0015776934 0.016476052 0.0006635194 0.0006726941 0.0077075404 0.0073981676 0.0036596323 0.0013740135 0.0036820187 0.0073677073 0.0016228333 0.0010664753 0.004191035 0.0026232502 0.0027120619 0.0012837338 0.0070308098 0.0050908965 0.0019553269 0.002594258 0.002075333 0.0050428207 0.013717749 0.003468063 0.0050538303 0.0072781616 0.0013013494 0.0016441188 0.0052721896 0.0044101286 0.00469161 0.000915275 0.003915792 0.0022103856 0.0043506757 0.0048516183 0.0030240042 0.00066388637 0.0037267916 0.0033697095 0.008259495 0.0025061802 0.0015127361 0.0010224363 0.0016558624 0.0012206114 0.0006635194 0.00049140066 0.0011758385 0.0013677747 0.00062021444 0.00057213864 0.0015677847 0.00092518376 0.0008943566 0.0074220216 0.0014962215 0.0069981473 0.000518191 0.0004110297 0.0019204628 0.011131198 0.0009897741 0.035065603 0.0011802424 0.01818476 0.00042901223 0.00047231716 0.0014672292 0.00059892895 0.00040185492 0.00088995264 0.0013663067 0.0032816317 0.00049176766 0.0004895657 0.0015586099 0.0004576375 0.000398919 0.00043231517 0.0013101571 0.00044846276 0.00044479285 0.0004888317 0.0012587784 0.001472734 0.00042497533 0.0009523411 0.0013431862 0.00072297186 0.0004704822 0.00041213067 0.0013013494 0.00042754426 0.00041249764 0.00040112092 0.0013020834 0.00048479484 0.0005214939 0.00048699678 0.0014617243 0.00048809775 0.0005108512 0.00047341813 0.0014657612 0.00054021046 0.001596043 0.0005280998 0.0024133315 0.00068040093 0.0005013094 0.00055892696 0.0015677847 0.00079637003 0.00065984944 0.000558193 0.0028074796 0.0018301831 0.0016896256 0.00206836 0.0047628065 0.00095087313 0.0042871865 0.00490997 0.002834637 0.0010312442 0.0006426009 0.00048662978 0.15817927 0.0005299347 0.0005556241 0.00056443183 0.0025337045 0.00071489805 0.0011762055 0.00052479684 0.0018808278 0.00048736378 0.0005959931 0.00054461433 0.0019347755 0.00096665375 0.0004976395 0.0005031444 0.0020856087 0.0007332476 0.00058681826 0.000678199 0.0025828811 0.0005262648 0.0005739736 0.00063599506 0.0050343797 0.0023703936 0.0007405874 0.00068003393 0.010182894 0.004118004 0.00077545154 0.0023685587 0.0058406587 0.00087967695 0.00092555076 0.0006572805 0.0036456864 0.0006583815 0.0009923431 0.0007882962 0.0034926513 0.0010239043 0.0010077567 0.0014613573 0.0034306298 0.001594575 0.0015490681 0.0014877807 0.012674027 0.0035741234 0.00621976 0.07344733 0.0154105965 1.6520794e-06 0.0 0.0 1.8356438e-07 1.6520794e-06 5.5069313e-07 1.8356438e-07 3.6712876e-07 0.0 0.0 3.6712876e-07 0.058267925 0.0 5.5069313e-07 1.8356438e-07 0.0010940437 5.87406e-06 4.5891093e-06 5.323367e-06 1.0096041e-05 1.7989309e-05 5.5069313e-06 2.93703e-06 2.0742775e-05 1.6520794e-06 9.178219e-07 1.8356438e-06 0.0018024186 1.6520794e-06 8.443962e-06 2.349624e-05 0.0014253774 1.3033071e-05 2.845248e-05 1.4685151e-05 3.0288124e-05 4.4606146e-05 6.1861196e-05 2.643327e-05 4.4789707e-05 1.8356438e-06 5.87406e-06 6.0576244e-06 0.0034935973 5.323367e-06 1.9457824e-05 4.148555e-05 0.002861218 4.148555e-05 3.2490894e-05 1.9090696e-05 5.7272086e-05 0.00010848655 6.773526e-05 3.3408716e-05 0.000100776844 2.3129112e-05 1.3400199e-05 1.9090696e-05 0.0045900275 1.9457824e-05 7.72806e-05 0.00020632637 0.0019463331 4.9195252e-05 6.6266744e-05 1.9824953e-05 9.728912e-05 7.929981e-05 9.8390505e-05 4.4239016e-05 7.048872e-05 1.0279606e-05 7.893268e-06 1.1013863e-05 0.0022446252 1.5419408e-05 4.2954063e-05 8.370536e-05 0.0045090755 0.000117481206 0.00013510339 4.185268e-05 0.00023404458 0.00022449924 0.00026616835 0.0001283115 0.00026157923 4.0567727e-05 3.065525e-05 3.138951e-05 0.0045099934 7.122298e-05 0.00014409804 0.0005321531 0.01543134 0.00042788856 0.00039392916 0.0002107319 0.0004853442 0.0009519649 0.00090772583 0.00030233053 0.00026873825 0.00024671052 0.00011325922 0.00012390595 0.0031837407 0.0001736519 0.00030893885 0.0016577699 0.01695474 0.00052168994 0.0007507783 0.00033996123 0.00072177517 0.0015435929 0.0019296288 0.0007036023 0.00052903255 0.00033151728 0.00020540853 0.0002061428 0.005428733 0.00027534657 0.00047286184 0.0021678954 0.017161801 0.000804012 0.0013523188 0.0005338052 0.0010916573 0.0025897264 0.006215857 0.0024836261 0.0008436619 0.0004601959 0.00036033688 0.0002700232 0.006534708 0.00044330797 0.00052444346 0.0030673607 0.01392501 0.0008502702 0.0019731335 0.0018369288 0.0069279033 0.005859375 0.013367709 0.006931758 0.0012548461 0.0003045333 0.00036804657 0.0006375191 0.0073624 0.00043174342 0.0007680334 0.0029902637 0.011722421 0.0005830005 0.0028134913 0.0018229779 0.0055150082 0.00521745 0.012161507 0.005875529 0.001325702 0.00047451392 0.00040108818 0.00048846484 0.005155222 0.000490484 0.0008337494 0.0026381873 0.0127531355 0.0027228105 0.0037021264 0.025591262 0.004583052 0.0051605455 0.006550311 0.0036237445 0.006436134 0.0020414195 0.0021209028 0.0023927616 0.016087398 0.0023305335 0.0042241835 0.008702236 0.03258433 0.007770464 0.0050476533 0.0033691407 0.013775222 0.015282102 0.01116567 0.0044305096 0.03281507 0.003659356 0.002590277 0.0031771322 0.036793828 0.003575467 0.012962399 0.045211907 0.03888389 0.008770523 0.0043012807 0.0039064335 0.020833822 0.01984386 0.01340589 0.0040092296 0.039439358 0.004027219 0.0032779092 0.0042245504 0.028062405 0.0053072134 0.014287 0.043434452 0.0040586083 0.00089193933 0.00065734406 0.00058575394 0.0024085483 0.002014619 0.0015061457 0.0005565672 0.0035818918 0.00042990778 0.0004467957 0.0005833676 0.002112826 0.00075518386 0.0015472642 0.0030512072 0.0035376528 0.002668659 0.002548975 0.0026090005 0.0025475065 0.0024401213 0.0025058372 0.0027011498 0.002645897 0.0024792205 0.0024571929 0.002631212 0.0025699013 0.0025541147 0.0026824262 0.0032782762 12636.0 22.06244 278781.0 0.020169955 0.0010115467 0.0016177573 0.0009146965 0.0031601866 0.0035368265 0.00151732 0.0010976358 0.0057715555 0.0045878305 0.0016249313 0.0006492552 0.0028947454 0.001506559 0.018491218 0.0031565996 0.010599718 0.010319929 0.0097711105 0.008049329 0.010517216 0.007310398 0.0076798634 0.0073390943 0.009039354 0.0076798634 0.012328674 0.007217135 0.009728066 0.0077013858 0.0077157337 0.017816853 0.04487752 0.015686149 0.0093047945 0.0060047135 0.0073534423 0.011855184 0.0038130288 0.001592648 0.0048102275 0.00502545 0.000878826 0.0011622026 0.004864033 0.008425969 0.0026257169 0.0028050693 0.00922588 0.017709242 0.00277996 0.007927369 0.0054307864 0.0048066406 0.00969937 0.004304454 0.007733669 0.00091110944 0.007887912 0.00089676125 0.014380463 0.0009864374 0.0008357815 0.010746787 0.0019764618 0.038245074 0.007643993 0.027318936 0.024721915 0.06329341 0.006790276 0.011894641 0.010287645 0.03867552 0.0021988587 0.0040031425 0.02666968 0.016608018 0.037495382 0.04254594 0.019703638 0.0022490772 0.031591106 0.028459616 0.052822825 0.010603305 0.007697799 0.005757207 0.0061768917 0.007787475 0.002302883 0.0006277329 0.0018616763 0.0006564292 0.0007066479 0.0007568665 5.848766 91.0 2.0 4.0 10.0 2724864.0 2736128.0 1.0 0.0 2222.0 1.0 1.0 0.0 0.0 0.0 1317013100.0 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 1792512.0 1024.0 4096.0 7.0 0.0 0.0 2.0 2.0 0.0 0.0 0.0 12288.0 0.0 -146432.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 421888.0 0.0 0.0 0.0 0.0 0.0 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 -1780224.0 -131072.0 219648.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.2781346 0.0 -6.410212 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4.565588 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3.850426 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.415426 -5.4940734 6.965616 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 11983.0 0.0 -146151.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 421741.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -15480.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1779795.0 -130754.0 219592.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 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 2.0 3.0 0.0 1.0 1.0 -1.0 -2.0 2.0 -2.0 -1.0 -1.0 0.0 0.0 0.0 0.0 -3.0 0.0 2.0 1.0 1.0 0.0 2.0 0.0 0.0 -1.0 -1.0 -1.0 0.0 2.0 0.0 0.0 -1.0 3.0 -2.0 0.0 2.0 -1.0 2.0 -1.0 0.0 1.0 -1.0 0.0 -3.0 0.0 1.0 1.0 0.0 0.0 -1.0 1.0 0.0 2.0 -2.0 -4.0 2.0 1.0 -1.0 -1.0 0.0 1.0 -1.0 0.0 0.0 0.0 -1.0 2.0 0.0 0.0 -1.0 0.0 2.0 1.0 2.0 1.0 2.0 2.0 1.0 0.0 1.0 -1.0 -1.0 -1.0 1.0 1.0 1.0 -2.0 -1.0 1.0 0.0 -1.0 -1.0 4.0 1.0 1.0 -1.0 1.0 2.0 1.0 -1.0 1.0 0.0 -1.0 2.0 0.0 1.0 -1.0 1.0 -1.0 -1.0 1.0 1.0 2.0 1.0 0.0 0.0 0.0 0.0 -1.0 1.0 -4.0 0.0 -1.0 0.0 0.0 1.0 0.0 1.0 1.0 1.0 0.0 0.0 -1.0 1.0 1.0 -1.0 0.0 -1.0 0.0 -1.0 -2.0 1.0 -1.0 0.0 -1.0 0.0 1.0 1.0 0.0 -3.0 1.0 0.0 0.0 4.0 -1.0 -1.0 0.0 1.0 0.0 3.0 1.0 0.0 0.0 0.0 -2.0 -1.0 0.0 -1.0 0.0 2.0 1.0 1.0 0.0 2.0 -3.0 3.0 1.0 -4.0 -1.0 -3.0 0.0 -3.0 4.0 3.0 -1.0 -2.0 0.0 -2.0 0.0 -3.0 1.0 0.0 3.0 -1.0 1.0 0.0 0.0 3.0 2.0 1.0 0.0 1.0 -1.0 0.0 -1.0 1.0 0.0 0.0 4.0 -1.0 -1.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 1.0 -1.0 -1.0 0.0 2.0 1.0 0.0 -1.0 -1.0 1.0 1.0 0.0 -1.0 0.0 -2.0 -1.0 0.0 1.0 -1.0 0.0 1.0 1.0 1.0 1.0 1.0 0.0 -2.0 -1.0 1.0 -1.0 -2.0 -1.0 0.0 1.0 2.0 3.0 -1.0 -1.0 1.0 1.0 -2.0 -2.0 1.0 1.0 -3.0 2.0 0.0 1.0 -1.0 0.0 3.0 -1.0 -1.0 1.0 2.0 2.0 -1.0 -1.0 0.0 -1.0 1.0 1.0 -1.0 0.0 0.0 -2.0 -2.0 4.0 2.0 -1.0 -3.0 -1.0 0.0 1.0 0.0 0.0 1.0 -2.0 -2.0 2.0 0.0 2.0 0.0 -2.0 1.0 -1.0 -1.0 -1.0 2.0 0.0 0.0 -1.0 -1.0 0.0 0.0 -1.0 1.0 5.0 -3.0 2.0 2.0 0.0 0.0 -2.0 0.0 -3.0 -4.0 0.0 0.0 0.0 -1.0 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 1.0 -1.0 -2.0 0.0 0.0 -2.0 1.0 -1.0 0.0 0.0 4.0 -1.0 1.0 0.0 0.0 -2.0 3.0 0.0 -1.0 -2.0 1.0 2.0 -1.0 -2.0 3.0 -2.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 2.0 -1.0 -2.0 -1.0 2.0 1.0 3.0 2.0 -1.0 1.0 0.0 -1.0 2.0 1.0 -4.0 -1.0 -1.0 -2.0 0.0 2.0 1.0 0.0 1.0 2.0 2.0 -1.0 -1.0 1.0 0.0 0.0 -2.0 1.0 -1.0 -1.0 -1.0 0.0 2.0 0.0 -2.0 2.0 -1.0 0.0 -1.0 1.0 2.0 3.0 -2.0 0.0 0.0 2.0 -2.0 1.0 0.0 1.0 1.0 -2.0 2.0 1.0 1.0 0.0 1.0 0.0 0.0 0.0 3.0 2.0 1.0 0.0 -1.0 -1.0 0.0 1.0 1.0 1.0 2.0 1.0 2.0 -1.0 1.0 3.0 2.0 0.0 -1.0 1.0 -1.0 0.0 0.0 -1.0 0.0 1.0 3.0 -1.0 1.0 1.0 -1.0 0.0 -1.0 0.0 -1.0 2.0 1.0 0.0 1.0 -3.0 0.0 -3.0 0.0 -1.0 0.0 2.0 2.0 0.0 -3.0 2.0 1.0 2.0 1.0 -1.0 -3.0 0.0 -2.0 0.0 0.0 1.0 -1.0 -1.0 3.0 -1.0 -2.0 0.0 0.0 1.0 -3.0 -2.0 0.0 0.0 -2.0 1.0 -2.0 0.0 0.0 -3.0 1.0 1.0 1.0 0.0 -2.0 0.0 1.0 0.0 0.0 0.0 4.0 -1.0 0.0 2.0 1.0 -3.0 -2.0 2.0 -1.0 0.0 0.0 2.0 3.0 0.0 0.0 -1.0 0.0 0.0 1.0 1.0 0.0 0.0 -1.0 -2.0 -1.0 0.0 -1.0 -1.0 -1.0 3.0 0.0 0.0 -1.0 -1.0 1.0 0.0 0.0 -2.0 -1.0 -1.0 0.0 0.0 1.0 0.0 -1.0 1.0 -1.0 0.0 0.0 2.0 -1.0 1.0 0.0 0.0 0.0 -3.0 -1.0 2.0 0.0 1.0 2.0 1.0 0.0 2.0 1.0 0.0 -1.0 0.0 2.0 0.0 1.0 1.0 -1.0 0.0 1.0 -3.0 0.0 0.0 3.0 1.0 1.0 2.0 0.0 -4.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 -1.0 -2.0 -2.0 1.0 1.0 -2.0 -1.0 -1.0 -1.0 0.0 1.0 1.0 0.0 0.0 -3.0 2.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 1.0 1.0 -1.0 -1.0 0.0 0.0 2.0 1.0 1.0 1.0 -1.0 -3.0 -1.0 0.0 0.0 -1.0 -2.0 0.0 2.0 -1.0 -2.0 1.0 0.0 2.0 0.0 -2.0 3.0 2.0 1.0 0.0 -1.0 -2.0 1.0 1.0 -1.0 -1.0 2.0 1.0 -2.0 -1.0 -4.0 -1.0 1.0 -1.0 1.0 0.0 0.0 1.0 0.0 1.0 1.0 -4.0 4.0 1.0 0.0 0.0 0.0 0.0 0.0 2.0 1.0 1.0 -2.0 1.0 -2.0 -1.0 0.0 1.0 0.0 -6.0 2.0 1.0 1.0 -1.0 0.0 -2.0 -1.0 -1.0 1.0 -1.0 1.0 -1.0 0.0 0.0 2.0 3.0 0.0 -2.0 -1.0 2.0 -1.0 1.0 -1.0 1.0 -1.0 -1.0 1.0 -2.0 0.0 1.0 0.0 -2.0 -2.0 0.0 2.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 -2.0 -1.0 2.0 0.0 2.0 -1.0 -2.0 -2.0 1.0 -3.0 -1.0 2.0 2.0 -1.0 0.0 2.0 0.0 1.0 1.0 1.0 1.0 0.0 1.0 0.0 -2.0 3.0 2.0 1.0 -1.0 -3.0 -1.0 0.0 -1.0 0.0 0.0 -2.0 0.0 3.0 2.0 -1.0 0.0 0.0 1.0 -1.0 2.0 0.0 0.0 -1.0 -3.0 0.0 0.0 1.0 2.0 0.0 -1.0 0.0 2.0 1.0 -2.0 3.0 -1.0 0.0 3.0 1.0 -1.0 0.0 -1.0 1.0 0.0 -3.0 0.0 -1.0 -1.0 2.0 -1.0 2.0 -1.0 3.0 -2.0 2.0 1.0 -3.0 2.0 1.0 -1.0 -1.0 0.0 0.0 0.0 1.0 -1.0 1.0 -1.0 -1.0 2.0 -1.0 0.0 0.0 1.0 1.0 0.0 0.0 -1.0 0.0 -1.0 0.0 -1.0 0.0 0.0 -1.0 0.0 -1.0 -2.0 0.0 1.0 0.0 -1.0 -1.0 0.0 0.0 3.0 0.0 0.0 2.0 0.0 1.0 -1.0 1.0 -1.0 4.0 0.0 -2.0 2.0 2.0 -1.0 2.0 -1.0 1.0 -3.0 0.0 1.0 0.0 1.0 -1.0 -1.0 3.0 1.0 -1.0 -3.0 -1.0 -1.0 0.0 2.0 -1.0 0.0 -3.0 0.0 1.0 -3.0 0.0 -1.0 1.0 0.0 -1.0 0.0 0.0 2.0 -1.0 2.0 1.0 -3.0 0.0 -1.0 3.0 -1.0 0.0 0.0 -2.0 -4.0 0.0 0.0 -1.0 1.0 -3.0 1.0 -2.0 -1.0 1.0 2.0 -2.0 -1.0 1.0 0.0 -2.0 -2.0 0.0 1.0 1.0 -3.0 -2.0 1.0 0.0 1.0 2.0 2.0 1.0 -2.0 -1.0 -1.0 -1.0 2.0 -1.0 -3.0 3.0 1.0 1.0 0.0 0.0 -1.0 -1.0 2.0 0.0 0.0 2.0 -1.0 0.0 -1.0 2.0 0.0 0.0 -1.0 0.0 0.0 2.0 0.0 -2.0 -1.0 0.0 0.0 -2.0 1.0 0.0 -3.0 1.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 1.0 1.0 -1.0 2.0 0.0 0.0 0.0 1.0 -1.0 0.0 3.0 3.0 -2.0 1.0 -1.0 -1.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 600.0 2236416.0 219592.0 2367488.0 0.0 0.0 0.0 0.0 129772.0 2588672.0 28.0 1800784.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 2028952.0 0.0 0.0 11940.0 2248956.0 0.0 0.0 0.0 0.0


Input: 0.270275 0.0033974757 0.002693061 0.0030974573 0.0032089395 0.002526384 0.002959744 0.0030887136 0.0032384496 0.0024045187 0.002133464 0.0027291288 0.0032679595 0.0027783122 0.0029783244 0.0037729086 0.0025241983 0.0021159765 0.0019350911 0.0027324078 0.0022088783 0.0022372955 0.002488677 0.0028389716 0.0027433373 0.002988161 0.0023280114 0.0027477092 0.0030307865 0.0029908933 0.0029367919 0.0034078588 0.0025783 0.0020968497 0.0020028548 0.0025968803 0.0024416796 0.0021848332 0.002481026 0.002984882 0.0022465857 0.00216516 0.002158602 0.0027285824 0.002370637 0.0026220183 0.0025318488 0.003155931 0.002711095 0.0024269244 0.0026837708 0.0030745051 0.0024362146 0.0021777288 0.0026291227 0.0027848699 0.003123142 0.0028116475 0.003110573 0.00313899 0.0032226015 0.003009474 0.003353757 0.0033870926 0.0031471872 0.0036051387 0.002602345 0.0026078098 0.00220396 0.0032963767 0.0025586265 0.003245554 0.0022066925 0.0022853857 0.0022547827 0.0024832122 0.0024624458 0.0031542913 0.002944989 0.0031952774 0.0030258682 0.0024438654 0.0020536776 0.002686503 0.0022203545 0.0026608186 0.002829135 0.0032471933 0.002266259 0.0028345997 0.0022750027 0.0028171123 0.002647703 0.0030477275 0.003249379 0.003496389 0.0024099837 0.002500153 0.00205641 0.0029253156 0.002973406 0.003016578 0.0024946881 0.003137897 0.0027471627 0.002770115 0.0025116291 0.0025799393 0.0027340471 0.0029214902 0.0028018109 0.0034324506 0.002964116 0.002857552 0.0029919865 0.0029985441 0.0040691015 0.0037149815 0.002901817 0.0028045431 0.0031887197 0.003078877 0.0029176648 0.0028209377 0.0032936442 0.003313864 0.0034515774 0.0032029282 0.0027477092 0.002630762 0.0022274586 0.0039789323 0.00229249 0.0028438899 0.0023679044 0.0029225831 0.0021739036 0.0032078465 0.0021864725 0.005839155 0.0026925146 0.00338436 0.003019857 0.003186534 0.0023405803 0.0025181868 0.0021793684 0.0029056424 0.0024394935 0.0027001651 0.0022963155 0.0028072756 0.002190298 0.0024782938 0.0021465796 0.002648796 0.002884876 0.0030083808 0.0030286007 0.0031553844 0.0026952468 0.0027881488 0.002143847 0.0030089272 0.0022957688 0.0023564284 0.002305059 0.0030712262 0.0023001407 0.0022389349 0.002114337 0.0028537265 0.0022668054 0.0024826657 0.0029772313 0.0031941845 0.0023394874 0.0023569749 0.002395775 0.0025367672 0.002765743 0.0025291166 0.0028127404 0.002870121 0.0027542668 0.0026263902 0.0028345997 0.002769022 0.0030466346 0.0029581045 0.0032165903 0.0032215086 0.003017671 0.003051553 0.0026039844 0.003253751 0.0025318488 0.0026411451 0.0030898065 0.0035696174 0.002888155 0.0029750455 0.0029378848 0.0027220245 0.0042483476 0.002471736 0.0030225893 0.0030695868 0.0029663017 0.003051553 0.0026848637 0.0029624763 0.0025537082 0.0027597318 0.0024302034 0.0030362513 0.0026619115 0.0026302156 0.003016578 0.002925862 0.0026640976 0.0029717665 0.0028449828 0.0031373505 0.0034630534 0.0030832489 0.002650982 0.003096911 0.0030876207 0.003226427 0.002458074 0.003076691 0.004580062 0.0033461065 0.0030575641 0.0032007424 0.0032111255 0.003063029 0.0028936197 0.0030477275 0.0038111622 0.0030357048 0.003417149 0.0029001776 0.0036253585 0.003096911 0.0030531923 0.003110573 0.0035936625 0.0031805225 0.0035739893 0.002908921 0.0037182604 0.0032788892 0.00337507 0.0069550704 0.24580067 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0005167142 1.3122901e-05 8.201813e-07 1.0935751e-06 8.201813e-07 1.0935751e-06 8.201813e-07 1.6403626e-06 9.842175e-06 1.6403626e-06 2.1871501e-06 6.2880563e-06 1.3669688e-06 1.0935751e-06 8.201813e-07 5.4678753e-07 0.00048500052 0.0 1.9137563e-06 3.0073313e-06 1.2576113e-05 8.201812e-06 3.116689e-05 1.4763263e-05 0.0 0.0 2.1871501e-06 0.0 0.0 0.0 0.0 1.0935751e-06 0.0004893748 6.834844e-06 2.1871501e-06 4.9210876e-06 5.194481e-06 5.741269e-06 4.9210876e-06 3.8275125e-06 2.7339377e-06 4.3743003e-06 6.834844e-06 5.741269e-06 4.9210876e-06 4.3743003e-06 3.2807252e-06 4.647694e-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 0.0028747353 8.9946545e-05 6.752826e-05 2.8979739e-05 0.00018700134 3.93687e-05 5.7686084e-05 3.4994402e-05 6.315396e-05 7.2449344e-05 2.323847e-05 2.4878831e-05 2.3511862e-05 4.2376032e-05 2.2691682e-05 0.0002668323 0.0025406482 6.0693415e-05 0.00011072447 5.8779657e-05 0.00023457184 7.819061e-05 0.000367988 0.00018508757 2.5699013e-05 2.8706345e-05 9.568782e-06 1.1482538e-05 1.6950413e-05 1.6950413e-05 1.8317382e-05 0.00015501426 0.002441953 6.834844e-05 0.00010771714 7.3269526e-05 0.00021625446 6.6708075e-05 0.0001752454 0.00012330059 6.588789e-05 5.9873233e-05 4.2649426e-05 3.9095306e-05 7.299613e-05 5.440536e-05 4.073567e-05 0.0002709332 0.0021964454 8.256491e-05 0.00016841055 6.643468e-05 0.00041337137 0.00011783271 0.00067692297 0.00039915487 3.0346708e-05 2.5152225e-05 5.604572e-05 5.0031056e-05 0.00012439417 3.8821912e-05 1.6950413e-05 1.6403625e-05 0.0021879703 6.643468e-05 0.00021051319 0.00016950413 0.00058096176 0.00023074434 0.00096179923 0.0005104261 6.370075e-05 5.1398027e-05 0.00010197587 4.0188883e-05 6.643468e-05 0.00010826393 5.030445e-05 0.00019848387 0.00025589656 2.0231138e-05 2.2691682e-05 1.6677019e-05 4.346961e-05 1.44898695e-05 6.725486e-05 3.8001734e-05 5.741269e-06 5.741269e-06 3.06201e-05 5.194481e-06 1.0388962e-05 4.647694e-06 9.021994e-06 9.842175e-06 0.0021327448 0.0001711445 0.00024140668 0.00022117555 0.00039286682 0.0002531626 0.00032725232 0.00028624327 0.0005869764 8.584564e-05 0.000117012525 9.787497e-05 0.0004598483 0.000131229 0.00025644334 0.00039778792 0.008109406 0.0010052689 0.00076030806 0.0011113456 0.0027787741 0.0022869387 0.0009965203 0.001348378 0.0046947175 0.00029471848 0.000517261 0.00038247785 0.003698744 0.0005514352 0.00212673 0.0034915116 0.0039858078 0.0007974896 0.0005421398 0.0008010437 0.0012376535 0.0015025721 0.000657512 0.0011556355 0.0025247913 0.00021215355 0.00036416049 0.00033436058 0.0014785135 0.0006977009 0.0014068843 0.0024583566 0.040397756 0.03989061 0.037075747 0.04352483 0.038164128 0.039216693 0.03963608 0.046455342 0.039652485 0.04090818 0.039838392 0.043059517 0.04215841 0.043663442 0.046617463 0.049393777 5514.0 6.6207833 36507.0 0.016051715 0.0067110416 0.006875394 0.008381954 0.010984194 0.00709453 0.008409346 0.0105733145 0.007834114 0.007341058 0.007971074 0.008546306 0.0069575696 0.007861506 0.010847235 0.01010765 0.008409346 0.007039746 0.009943299 0.008573698 0.008025858 0.0069575696 0.009313283 0.009395459 0.010025474 0.00969677 0.010299395 0.009833731 0.009998082 0.008902403 0.010326787 0.012134659 0.020187909 0.010545922 0.0079984665 0.009532418 0.006848002 0.0069849617 0.010189827 0.010436355 0.008108034 0.0074506258 0.0074232337 0.007614978 0.007724546 0.008409346 0.00873805 0.009422851 0.010326787 0.006902786 0.007149314 0.009039362 0.009778947 0.0079984665 0.0118881315 0.011532035 0.009751555 0.009039362 0.00791629 0.008710658 0.008135426 0.009669378 0.0097241625 0.013696004 0.00901197 0.01651738 0.010819843 0.01459994 0.014353411 0.021749254 0.009587202 0.011230723 0.00914893 0.017010435 0.008244994 0.00777933 0.01569562 0.012107267 0.015942149 0.02142055 0.012901635 0.00860109 0.017640453 0.01785959 0.025200646 0.013202948 0.009998082 0.008546306 0.011367683 0.011477251 0.008135426 0.009395459 0.00997069 0.009915907 0.010682883 0.009587202 6.51311 0.0 0.0 0.0 21.0 1829888.0 1843200.0 1.0 0.0 65.0 0.0 1.0 0.0 0.0 0.0 1542794500.0 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 14.0 15.0 6.0 0.0 6.0 0.0 100864.0 1024.0 4096.0 4.0 0.0 0.0 2.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 33280.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -965632.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -100864.0 0.0 729088.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4.59838 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.190855 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.477407 0.0 7.956201 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 32834.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -968316.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -100462.0 0.0 728744.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 -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 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 40.0 137808.0 728744.0 1114112.0 0.0 0.0 0.0 0.0 0.0 0.0 28.0 126448.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 126480.0 0.0 0.0 264.0 106496.0 0.0 0.0 0.0 0.0


Input: 0.32788086 0.011308594 0.0031738281 0.004951172 0.0049902345 0.0036914062 0.0030273437 0.004658203 0.0051660156 0.0019921875 0.0016992188 0.0018652343 0.003623047 0.0023535157 0.0017773438 0.0070117186 0.0043261717 0.0026953125 0.0012402344 0.0012011719 0.0022265625 0.003671875 0.0013378906 0.0011230469 0.0020898439 0.0013671875 0.0015820313 0.0015527344 0.0025976563 0.00140625 0.0009863281 0.0012792968 0.0024511719 0.0009863281 0.0010058593 0.0011914063 0.0023535157 0.0012890626 0.0011425781 0.00090820313 0.0019140625 0.0011132812 0.0011328125 0.0017773438 0.0016113281 0.00094726565 0.000859375 0.0008691406 0.0025390624 0.0008496094 0.00078125 0.0025 0.0017480468 0.0010644532 0.00083007815 0.00090820313 0.0016894531 0.0013769531 0.0014941406 0.0069238283 0.0018359375 0.001015625 0.0008886719 0.00091796875 0.00265625 0.0017285156 0.0015820313 0.0014550781 0.00296875 0.0085742185 0.0040429686 0.0026660156 0.0026464844 0.0015527344 0.0012988282 0.0010351562 0.0017285156 0.0030664064 0.0020214843 0.0014550781 0.0037011718 0.0013183594 0.0013964843 0.0014941406 0.0017089844 0.002548828 0.001953125 0.0016601563 0.0014746094 0.0010546875 0.0009960937 0.0016894531 0.0014453125 0.003017578 0.0020703124 0.001640625 0.0017871094 0.00081054686 0.000859375 0.00090820313 0.0015820313 0.0008886719 0.0024121094 0.0007519531 0.002314453 0.0011132812 0.0023535157 0.0008886719 0.0015136718 0.00095703127 0.0011035156 0.0008886719 0.0017089844 0.0010742188 0.002001953 0.0019433594 0.004365234 0.00359375 0.0013476562 0.0013183594 0.001953125 0.0010449219 0.00094726565 0.0008886719 0.0016601563 0.0018164063 0.0014941406 0.0015917969 0.0020703124 0.0014746094 0.0008984375 0.006982422 0.00296875 0.03291992 0.0014746094 0.0012207031 0.0022167969 0.0070996094 0.0014160157 0.013623047 0.001640625 0.0048925783 0.00090820313 0.0010742188 0.0019335938 0.0008691406 0.0012011719 0.00081054686 0.0015136718 0.0010742188 0.0010351562 0.0008496094 0.0014355469 0.0012304687 0.00092773436 0.0012304687 0.0014648438 0.00071289064 0.0009765625 0.0011132812 0.0016601563 0.0009960937 0.00083984376 0.0010742188 0.0015332032 0.0008203125 0.00080078124 0.0007519531 0.0013476562 0.00081054686 0.00109375 0.0010253906 0.0015136718 0.00083984376 0.00081054686 0.0007617187 0.0014941406 0.00094726565 0.00091796875 0.000859375 0.001484375 0.0007910156 0.0020800782 0.0015234374 0.0019921875 0.0011816407 0.0012402344 0.0010742188 0.0015234374 0.00090820313 0.0010449219 0.0011132812 0.004189453 0.002890625 0.0018359375 0.003916016 0.003203125 0.0008984375 0.0018847656 0.0340625 0.002138672 0.0015039062 0.0012597656 0.0010351562 0.026855469 0.00083007815 0.0017871094 0.0011425781 0.0021972656 0.0011523437 0.0014941406 0.0017285156 0.0018066406 0.00072265626 0.0015332032 0.0010058593 0.0022167969 0.0011035156 0.0011425781 0.0017285156 0.0018066406 0.0009765625 0.00092773436 0.0009375 0.002890625 0.001171875 0.0013769531 0.0009667969 0.0019726562 0.0018945313 0.00094726565 0.00091796875 0.0057421876 0.0052636717 0.0012402344 0.0020605468 0.0022460937 0.00083984376 0.0010351562 0.00094726565 0.0036523438 0.0015625 0.0012304687 0.0013671875 0.0023828126 0.0007324219 0.0013769531 0.0014257813 0.004580078 0.0038867188 0.0040722657 0.004921875 0.008447265 0.006416016 0.008330078 0.07577148 0.22159584 0.00011343908 4.4389206e-05 3.4524935e-05 1.9728535e-05 3.4524935e-05 4.932134e-06 9.8642675e-05 2.9592804e-05 9.864268e-06 9.864268e-06 9.864268e-06 6.411774e-05 1.9728535e-05 3.4524935e-05 9.8642675e-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 0.03554589 0.0033094618 0.00016769255 5.9185608e-05 0.00011343908 7.398201e-05 0.00023674243 0.0002909959 8.877841e-05 3.4524935e-05 1.4796402e-05 3.4524935e-05 9.371054e-05 0.00019235323 2.9592804e-05 0.000118371216 0.015975181 0.0031516335 2.4660669e-05 6.411774e-05 6.904987e-05 4.4389206e-05 2.4660669e-05 0.00025647096 5.9185608e-05 3.945707e-05 5.4253473e-05 2.4660669e-05 4.9321337e-05 0.00030086018 3.945707e-05 2.4660669e-05 0.008591777 0.00018742109 2.4660669e-05 6.411774e-05 6.411774e-05 3.4524935e-05 9.864268e-06 0.00041429925 3.945707e-05 2.4660669e-05 2.4660669e-05 2.4660669e-05 5.4253473e-05 0.0004537563 3.945707e-05 4.9321337e-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 0.011738478 0.00046855272 0.00018248895 0.0004537563 0.0004981455 0.0005918561 0.00031072443 0.0005277383 0.0011837122 4.9321337e-05 5.9185608e-05 0.00012330334 0.0019136679 0.00013316762 0.00063131313 0.0013366083 0.0055437186 0.00039950284 0.00036004576 0.00030086018 0.0002614031 0.00031072443 0.00028113162 0.00039950284 0.0002614031 0.00030086018 0.00025647096 0.00031072443 0.00026633524 0.00022194603 0.00034524937 0.00028113162 0.0053612296 0.00027619948 0.00028113162 0.00025153882 0.00044882417 0.0003797743 0.0002614031 0.00030086018 0.0003353851 0.00044389206 0.00020714963 0.00024167456 0.0003501815 0.00043895992 0.00030086018 0.00022194603 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.060966108 0.014969026 0.014549795 0.018737176 0.02907493 0.020098446 0.013652147 0.019457268 0.06769847 0.011136758 0.010737255 0.013790246 0.071481414 0.014387035 0.022939354 0.111476086 0.011324179 0.002875434 0.0022194602 0.003758286 0.0050751655 0.0034031724 0.0021849354 0.0032305478 0.009893861 0.0014451152 0.0018840751 0.001958057 0.011679293 0.0019284643 0.0040295534 0.013918482 0.007176255 0.0051540798 0.0038125394 0.0039111823 0.005198469 0.0044389204 0.004162721 0.0039900965 0.004078875 0.005060369 0.0035955256 0.0038372 0.0043205493 0.0046263416 0.003427833 0.003916114 78.0 6.179487 482.0 0.0373444 0.0062240665 0.008298756 0.002074689 0.008298756 0.002074689 0.002074689 0.002074689 0.008298756 0.004149378 0.002074689 0.004149378 0.0062240665 0.008298756 0.012448133 0.002074689 0.058091287 0.010373444 0.002074689 0.0062240665 0.060165975 0.0 0.002074689 0.002074689 0.0 0.002074689 0.0062240665 0.0746888 0.008298756 0.004149378 0.004149378 0.002074689 0.0186722 0.010373444 0.0062240665 0.0 0.008298756 0.002074689 0.0062240665 0.004149378 0.008298756 0.004149378 0.004149378 0.004149378 0.002074689 0.004149378 0.08921162 0.010373444 0.033195022 0.008298756 0.002074689 0.008298756 0.0062240665 0.008298756 0.012448133 0.008298756 0.008298756 0.0 0.004149378 0.012448133 0.004149378 0.004149378 0.0062240665 0.012448133 0.010373444 0.022821577 0.0062240665 0.014522822 0.0062240665 0.010373444 0.002074689 0.004149378 0.0186722 0.012448133 0.008298756 0.002074689 0.008298756 0.014522822 0.010373444 0.014522822 0.010373444 0.010373444 0.016597511 0.062240664 0.010373444 0.004149378 0.0062240665 0.008298756 0.012448133 0.0 0.004149378 0.0 0.002074689 0.002074689 0.002074689 0.002074689 5.6782093 0.0 0.0 0.0 1.0 102400.0 102400.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1541615600.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 12.0 0.0 6.0 0.0 6.0 0.0 61952.0 1024.0 4096.0 4.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -4096.0 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 -24576.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -65536.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 3.463743 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3.6165586 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.445259 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -24576.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -65536.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1184.0 49152.0 0.0 0.0 0.0 0.0 0.0 0.0 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: 0.14369527 0.012759392 0.006614314 0.0062937606 0.012858969 0.0034647058 0.003613388 0.002730843 0.013311836 0.0027049258 0.002687193 0.0023857362 0.007397283 0.0027704006 0.0020542704 0.011314856 0.0075991633 0.0018633023 0.001617772 0.001448629 0.005637649 0.0041931123 0.00175827 0.0014704538 0.004561408 0.001095338 0.0011785455 0.002402105 0.003592927 0.0014363524 0.0014554491 0.0013872463 0.0069034942 0.0012317438 0.0015673019 0.0014240759 0.033733137 0.0013722416 0.0011921861 0.0011730894 0.0031250555 0.0012453843 0.0014786382 0.0021224732 0.002707654 0.0011689971 0.0013326841 0.00095893233 0.0033883185 0.0015782143 0.0018046479 0.006893946 0.0027499397 0.0017391731 0.00190286 0.0013231357 0.0028481518 0.0024934968 0.0012453843 0.004474108 0.0024321142 0.0019533301 0.0014077072 0.0013776979 0.0036979595 0.0032055348 0.0025794324 0.0033446685 0.011477179 0.006044138 0.004929703 0.003350125 0.009960347 0.0038848354 0.0032914705 0.001259025 0.007563698 0.002689921 0.0025589715 0.0021470264 0.010114485 0.0054316763 0.0052379803 0.005443953 0.006391973 0.004135822 0.0072404165 0.005611732 0.002138842 0.0024143816 0.0011335317 0.0034919868 0.0033514888 0.0038889276 0.005858626 0.004423638 0.001807376 0.0028877095 0.0012494766 0.0018714867 0.0025507873 0.004850588 0.004064891 0.0015441129 0.0047673807 0.002707654 0.007541873 0.0011021583 0.003496079 0.0019478739 0.0030568526 0.0029545482 0.0023093491 0.00089891383 0.0035260883 0.0027090178 0.012898526 0.0076837353 0.0016586938 0.0017009795 0.0020024362 0.0014895507 0.0010830616 0.0010175868 0.0038971119 0.0021783996 0.0019847034 0.001878307 0.003568374 0.0026094418 0.0012549327 0.014914603 0.0070180753 0.008514446 0.0013108591 0.0012562969 0.0023816442 0.0149337 0.0018905835 0.035595078 0.0022534227 0.01084562 0.0011567207 0.0011676331 0.0014568133 0.0009834854 0.0009057341 0.0008538999 0.002237054 0.0011376238 0.00096166047 0.0008511718 0.0012208313 0.0011771815 0.00084980775 0.00096166047 0.001522288 0.0009248309 0.0008729967 0.0010080384 0.0011567207 0.0013558731 0.0008457156 0.0010271352 0.0012713014 0.0009889416 0.00092619495 0.0007311347 0.0014227119 0.0009671167 0.0008525358 0.0008634483 0.0016559657 0.0009125544 0.0008511718 0.0009343793 0.0015645738 0.00089345756 0.00089891383 0.0009221028 0.001615044 0.0009725729 0.0026012573 0.0017882792 0.0023229897 0.0012317438 0.0012931264 0.0011035224 0.002949092 0.0010776053 0.0013231357 0.0022411463 0.009064161 0.002947728 0.0050770217 0.003875287 0.006116433 0.0012030986 0.0029190828 0.005805428 0.0021238374 0.0021920402 0.0012890343 0.0010721491 0.004399085 0.0009848494 0.0014431727 0.001306767 0.001617772 0.0013558731 0.0018319291 0.0015100115 0.0012099189 0.0009725729 0.0012030986 0.0011471723 0.0022220495 0.0016641499 0.0010639648 0.0019451458 0.0013654215 0.0016123158 0.0010162228 0.0010189508 0.002167487 0.0011294394 0.0012167392 0.0010844256 0.0016996155 0.0015031912 0.0010284992 0.0008402593 0.018338388 0.0042149373 0.0010162228 0.0039052963 0.0029095344 0.001070785 0.0009575683 0.0009957618 0.0027090178 0.0012044626 0.0013408684 0.0012863061 0.0014868225 0.0010162228 0.0027649442 0.001998344 0.005584451 0.00351654 0.0032273596 0.0028263268 0.0033978669 0.004778293 0.004210845 0.042524487 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.010669698 0.00011625744 9.847689e-05 2.803856e-05 0.0032894018 0.002009202 0.00018806351 9.984463e-05 8.411568e-05 1.025801e-05 3.077403e-05 1.7096683e-05 2.4619223e-05 2.6670825e-05 4.7186844e-05 6.7019e-05 0.005591299 9.574142e-05 8.2747945e-05 9.095435e-05 0.0013520056 0.00069070596 8.343181e-05 7.0438335e-05 6.5651264e-05 2.530309e-05 4.9238446e-05 4.7186844e-05 2.803856e-05 2.5986958e-05 3.35095e-05 7.11222e-05 0.010590369 1.23096115e-05 0.0010422138 0.00025029544 0.001726081 0.0010121237 0.003318808 0.001633759 2.7354693e-06 2.7354693e-06 5.4709385e-06 2.7354693e-06 2.051602e-06 3.4193365e-06 6.838673e-07 2.051602e-06 0.008763076 0.0001757539 0.0010059688 0.00022567621 0.0011557357 0.0005730808 0.0032381117 0.0014976694 0.0001319864 6.0180322e-05 3.8980437e-05 8.206408e-05 0.000110102636 0.00012377999 0.00011557357 0.0009095435 0.010943244 0.00019832152 0.0022765943 0.0006708738 0.0029023327 0.0019189316 0.008288472 0.0040854234 0.0002550825 0.00015045081 0.0002844888 0.00016207655 0.00018122484 0.0001401928 0.0004493008 0.0007064349 0.002643831 9.710916e-05 0.00067429314 0.00027081146 0.0005717131 0.0005129005 0.0020064667 0.0010914522 7.385767e-05 2.9406294e-05 2.8722427e-05 3.55611e-05 7.385767e-05 3.55611e-05 0.0001046317 0.00015318628 0.009625432 0.0007659314 0.0014019279 0.0007488347 0.0011447938 0.00072148 0.0015523788 0.00092732406 0.0015749463 0.0005108489 0.00044177828 0.000623687 0.00067634473 0.00038912048 0.00044177828 0.0008623567 0.017799698 0.0021555498 0.005659686 0.0023949032 0.00343233 0.0020351892 0.0011865097 0.0012063419 0.007179923 0.0014703147 0.0013267025 0.0031150156 0.0021890593 0.0009485239 0.0012357482 0.0040874747 0.08349883 0.014808462 0.021569174 0.012952447 0.023819098 0.026963519 0.009211008 0.014048002 0.046785414 0.0040792683 0.00321486 0.0066656545 0.019958667 0.005761582 0.014205975 0.031393614 0.06890852 0.016486673 0.021343498 0.014132801 0.025041169 0.032408472 0.0115046995 0.016419655 0.046930395 0.0037592186 0.0036976705 0.0060057226 0.020797089 0.0076497397 0.019882074 0.037973784 0.0076210173 0.007755739 0.007584772 0.007817287 0.0076134945 0.0075334823 0.007791984 0.007829596 0.007772836 0.0077413777 0.007574514 0.007947221 0.0077913003 0.007575198 0.0075478433 0.0077516357 3269.0 10.286938 33628.0 0.046568334 0.0014868561 0.0073153325 0.0020815986 0.04308909 0.0016652789 0.0030629237 0.0027655526 0.008296657 0.0042524086 0.008950874 0.0034792435 0.007910075 0.0025871298 0.004311883 0.0015760675 0.007999286 0.0031818722 0.002854764 0.0038955633 0.0040442487 0.0016652789 0.0024681813 0.0018437017 0.0044903057 0.005263471 0.0023194957 0.0064232186 0.004609254 0.0034495064 0.0024979184 0.0017842274 0.00475794 0.007464018 0.0042524086 0.008861663 0.018139645 0.007910075 0.0083263945 0.0075532296 0.007226121 0.008147972 0.0021410729 0.0027060783 0.015106459 0.005858213 0.005025574 0.004520043 0.024979183 0.013916974 0.018526228 0.025187343 0.016147258 0.011597478 0.018288331 0.021797312 0.0025871298 0.0038658262 0.001189485 0.0042524086 0.00475794 0.0049363626 0.0051742597 0.00805876 0.003122398 0.030837398 0.0061853216 0.016355418 0.017693589 0.062210064 0.008653503 0.009337457 0.015195671 0.02988581 0.009129297 0.004311883 0.024889972 0.0135898655 0.032443203 0.03265136 0.012043535 0.00217081 0.03443559 0.022808375 0.04722255 0.016563578 0.004995837 0.005709528 0.0050850483 0.007701915 0.003122398 0.0016058047 0.0030331865 0.001903176 0.0020815986 0.0015760675 5.9191546 0.0 0.0 0.0 4.0 733107.0 733184.0 0.0 0.0 490.0 0.0 1.0 0.0 0.0 0.0 1263571800.0 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 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 9.0 0.0 5.0 0.0 5.0 0.0 529920.0 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 55296.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -12800.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -529920.0 0.0 41472.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4.933351 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.1123247 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.601918 0.0 5.8088045 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 54946.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -94008.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -529573.0 0.0 40984.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 -1.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 2.0 -1.0 2.0 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 1.0 0.0 1.0 0.0 0.0 1.0 0.0 1.0 -1.0 1.0 0.0 2.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 -2.0 1.0 -1.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 -1.0 0.0 0.0 1.0 1.0 1.0 0.0 0.0 1.0 0.0 0.0 -1.0 -1.0 -1.0 0.0 0.0 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 -1.0 1.0 0.0 -2.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 1.0 -1.0 0.0 1.0 0.0 -2.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 1.0 2.0 0.0 1.0 1.0 -1.0 0.0 0.0 1.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 -2.0 -1.0 -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 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 -1.0 0.0 3.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 1.0 0.0 1.0 1.0 0.0 0.0 -1.0 2.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -2.0 1.0 1.0 1.0 -1.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 -1.0 0.0 -2.0 0.0 -1.0 -2.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -2.0 1.0 0.0 1.0 -1.0 0.0 -1.0 0.0 0.0 1.0 1.0 0.0 0.0 -1.0 -2.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 1.0 -1.0 -1.0 0.0 0.0 0.0 0.0 -1.0 -1.0 1.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 2.0 -1.0 -1.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 2.0 0.0 -2.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 1.0 -1.0 1.0 0.0 1.0 0.0 0.0 1.0 2.0 3.0 0.0 0.0 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 -2.0 0.0 2.0 1.0 0.0 1.0 0.0 0.0 0.0 -3.0 -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 2.0 1.0 1.0 1.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 1.0 -1.0 2.0 0.0 0.0 0.0 0.0 1.0 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 1.0 0.0 0.0 1.0 0.0 -1.0 2.0 1.0 0.0 1.0 0.0 0.0 0.0 3.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 1.0 -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 0.0 -1.0 -1.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 1.0 1.0 0.0 1.0 -2.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 -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 -2.0 0.0 0.0 -1.0 0.0 -1.0 0.0 2.0 0.0 0.0 1.0 1.0 0.0 1.0 0.0 0.0 -1.0 -1.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 -1.0 -1.0 -1.0 -2.0 1.0 -1.0 1.0 0.0 1.0 0.0 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 -1.0 1.0 0.0 0.0 0.0 -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 1.0 -1.0 0.0 0.0 1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 -1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 2.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 -1.0 1.0 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 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 2.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 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 1.0 0.0 -1.0 0.0 1.0 0.0 1.0 0.0 -1.0 -1.0 0.0 2.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 1.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 -1.0 1.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 -1.0 -2.0 0.0 0.0 0.0 0.0 -1.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -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 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 -1.0 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 0.0 0.0 -1.0 -2.0 0.0 -1.0 0.0 0.0 0.0 0.0 -2.0 2.0 1.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 -2.0 1.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 -3.0 0.0 -2.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 -2.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 340.0 580212.0 40984.0 688128.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2112.0 536576.0 0.0 0.0 0.0 0.0


Input: 0.037683893 0.0042910427 0.0039900593 0.0037785578 0.0063897893 0.003335218 0.0035670563 0.0043195137 0.0041852915 0.0036280663 0.0037134804 0.0033636892 0.0040592044 0.0033514872 0.003335218 0.007862166 0.0039290492 0.0038110965 0.0033392853 0.0035345175 0.0034002953 0.0033555545 0.0035711236 0.0034002953 0.003432834 0.003623999 0.003168457 0.003327083 0.0036565377 0.0035670563 0.0033392853 0.0034979114 0.005893574 0.003384026 0.0034694402 0.0033311506 0.009631459 0.0033636892 0.0033758914 0.00328641 0.003660605 0.0036321336 0.0032701404 0.0032945445 0.0037419517 0.0034043626 0.003327083 0.00328641 0.0041364837 0.004465938 0.004108012 0.004274773 0.004657103 0.003933117 0.003888376 0.0057512172 0.0045310156 0.004116147 0.0031115143 0.0034491033 0.0035223155 0.003335218 0.0034491033 0.0037582212 0.0036321336 0.003457238 0.0032742077 0.0034002953 0.0043154466 0.0041568205 0.0038721066 0.0035955275 0.003396228 0.0035345175 0.0033636892 0.0034775748 0.0036036621 0.0033230158 0.003432834 0.0033758914 0.003697211 0.0034613053 0.0034531706 0.003457238 0.0034287667 0.0036158643 0.0034491033 0.0034369014 0.0033636892 0.0032945445 0.0036687397 0.003445036 0.0033880933 0.0033636892 0.003514181 0.009212523 0.0048767393 0.004201561 0.0038761739 0.0041934266 0.005584456 0.0041934266 0.007719809 0.0032579384 0.004225965 0.003685009 0.0034613053 0.0032904772 0.003985992 0.0034043626 0.003457238 0.003733817 0.0034531706 0.0034491033 0.003636201 0.0036768743 0.0045594866 0.0037663558 0.003506046 0.0034246994 0.0035101133 0.0035223155 0.003575191 0.0032131977 0.0033433526 0.003493844 0.0035467194 0.003229467 0.0037866924 0.0035019787 0.0036809416 0.0042381673 0.0037582212 0.003721615 0.0035589214 0.003709413 0.0041852915 0.005413628 0.0035304502 0.003949386 0.0032498038 0.005661736 0.0034653726 0.0036768743 0.0033921606 0.0033026792 0.0034043626 0.0034287667 0.0033718238 0.0034124972 0.0032620057 0.0031399855 0.0036565377 0.0035101133 0.0035223155 0.0032701404 0.0059464495 0.0032904772 0.0033718238 0.0034653726 0.0033148811 0.0032742077 0.0031237162 0.0036687397 0.003335218 0.0032253996 0.003229467 0.0034165645 0.0030911774 0.003266073 0.00334742 0.003514181 0.003514181 0.0032376018 0.0034531706 0.0034694402 0.003457238 0.0032620057 0.0033433526 0.0033921606 0.0032742077 0.0034531706 0.0036036621 0.0038192312 0.0040225983 0.0034369014 0.0040388675 0.0036931436 0.003384026 0.0034979114 0.0038965107 0.0031399855 0.0044374666 0.0041812244 0.003514181 0.0036280663 0.0039412514 0.0035873929 0.004404928 0.0040429346 0.0037500865 0.0036931436 0.0033108138 0.0033596219 0.0033433526 0.0034206319 0.0033392853 0.0035182482 0.0038232985 0.003253871 0.0040348 0.0036158643 0.003445036 0.0033921606 0.003266073 0.0035467194 0.0037744904 0.0033921606 0.0034409687 0.0033189484 0.0033799587 0.003384026 0.0036443355 0.0036321336 0.0036077297 0.0033880933 0.0035385848 0.0034369014 0.003335218 0.003327083 0.0034897767 0.003493844 0.005714611 0.0062270956 0.003562989 0.0034491033 0.003432834 0.0033596219 0.0035263828 0.0033392853 0.0034124972 0.003457238 0.0036280663 0.0035426521 0.003384026 0.003994127 0.004067339 0.003709413 0.004010396 0.004213763 0.0037907597 0.0033758914 0.0036768743 0.003623999 0.0039615883 0.010908603 0.008368201 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.003916465 1.0215089e-05 2.0430178e-05 1.6344142e-05 1.0215089e-05 6.1290534e-06 2.4516214e-05 6.1290534e-06 2.6559232e-05 1.6344142e-05 8.172071e-06 8.172071e-06 3.4731303e-05 2.4516214e-05 1.0215089e-05 4.494639e-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 0.0044476497 0.0 0.0027887193 0.0011318319 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 3.0645268e-05 3.0645268e-05 0.0011992514 0.0034200118 4.0860356e-05 0.0020920502 0.0010603262 0.00022473195 3.677432e-05 5.3118463e-05 3.2688284e-05 2.4516214e-05 1.6344142e-05 4.290337e-05 2.0430178e-05 4.290337e-05 0.004388402 7.5591655e-05 0.0012952733 0.0005373137 0.00019817273 0.0002635493 0.00054957176 0.00024311911 0.00016344142 5.9247515e-05 3.0645268e-05 3.4731303e-05 8.784977e-05 5.516148e-05 0.0001368822 0.00024924817 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0022085023 0.00013075313 0.0001368822 0.00012462409 0.00015731237 0.00012258107 0.00012258107 0.00012871012 0.0001368822 0.00013075313 0.00013483917 0.00015118331 0.00013279615 0.00012871012 0.00012462409 0.000112365975 0.0039328095 0.00023699006 0.00037387226 0.000228818 0.00023494705 0.00028397946 0.00046376503 0.00024311911 0.0004024745 0.00024720514 0.0001368822 0.0001940867 0.0003227968 0.00024720514 0.0003248398 0.0004944103 0.0012053805 7.5591655e-05 0.00031462475 9.8064855e-05 0.00017365652 0.000116452014 0.00031462475 6.946261e-05 0.00032688284 0.00015526936 4.9032427e-05 8.784977e-05 0.00021655989 0.00012053805 0.00031666775 0.00054344273 0.008047447 0.0016609734 0.0033566782 0.002402589 0.0019878563 0.0018734473 0.0036345287 0.0013300045 0.0036222704 0.0019183937 0.0009643044 0.0023862447 0.002514955 0.0017038769 0.0029419456 0.005679589 0.06751561 0.053786527 0.056716215 0.05330642 0.05444438 0.05371911 0.059868593 0.054712016 0.0584916 0.05426664 0.052219536 0.053939756 0.05627697 0.054103196 0.056464925 0.0597501 1065.0 10.760564 11460.0 0.04930192 0.005061082 0.006980803 0.0042757415 0.0062827226 0.0042757415 0.0040139616 0.005322862 0.0059336824 0.005671902 0.0041884817 0.0047993017 0.0046247817 0.0035776615 0.0057591624 0.0046247817 0.014746946 0.02661431 0.022687608 0.02774869 0.018062828 0.016666668 0.015794067 0.056631763 0.02469459 0.015968587 0.004363002 0.0055846423 0.0060209422 0.007329843 0.005410122 0.005846422 0.0068935426 0.007940663 0.0041884817 0.004886562 0.0064572426 0.0055846423 0.0061082025 0.007155323 0.0047993017 0.0063699824 0.005148342 0.005846422 0.005671902 0.0059336824 0.0062827226 0.0042757415 0.0067190225 0.005322862 0.004886562 0.006806283 0.004363002 0.004537522 0.004537522 0.0060209422 0.0055846423 0.0041884817 0.0060209422 0.005846422 0.0034031414 0.005148342 0.0041884817 0.12600349 0.004973822 0.020331588 0.011169285 0.02547993 0.015095986 0.02303665 0.014048866 0.0072425827 0.0061954623 0.009685864 0.004712042 0.0042757415 0.010645724 0.0067190225 0.009336824 0.012827225 0.0060209422 0.0067190225 0.013961606 0.009249563 0.014834206 0.009947644 0.005148342 0.0063699824 0.0066317627 0.006980803 0.005235602 0.004886562 0.005061082 0.0062827226 0.005497382 0.005410122 5.9374104 0.0 0.0 0.0 5.0 245861.0 532480.0 0.0 0.0 91.0 0.0 1.0 0.0 0.0 0.0 1364793300.0 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 -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 9.0 0.0 5.0 0.0 5.0 0.0 33792.0 1024.0 4096.0 10.0 8.0 0.0 3.0 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 -236544.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7.917574 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 3.351034 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1000.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 12160.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -236173.0 0.0 0.0 0.0 0.0 -213312.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -33290.0 1000.0 563.0 12256.0 0.0 0.0 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 2.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -2.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 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 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 140.0 497084.0 563.0 528384.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 388.0 507904.0 0.0 0.0 0.0 0.0