Input: 0.30415875 0.03658328 0.027573295 0.011692876 0.020801047 0.008032757 0.01971701 0.0072366465 0.009637584 0.00462673 0.021642935 0.0028115977 0.002306731 0.0029588782 0.002867989 0.0026364534 0.002105713 0.0054871934 0.004987634 0.0029077944 0.0017547607 0.0017912491 0.0064073647 0.0037443743 0.0028255298 0.0014243748 0.001142419 0.0015497622 0.0014203943 0.001391867 0.0010037629 0.002838798 0.01404472 0.001025656 0.00092348846 0.0008193306 0.000860463 0.0036043914 0.004564368 0.0010508662 0.008880615 0.0009792162 0.0044011655 0.0044011655 0.007469509 0.002188641 0.0048688804 0.0016041631 0.0032892642 0.0023797078 0.0012187129 0.0010707689 0.0014621901 0.0017043405 0.001159668 0.00136533 0.0020891272 0.0043056323 0.0027923584 0.0013898767 0.0011835513 0.0010734226 0.0011377749 0.001142419 0.001315573 0.0021687383 0.0013182267 0.0029575513 0.008109051 0.002759187 0.0017806344 0.0010601542 0.0017288871 0.0019073486 0.0007563052 0.0008067255 0.0014038086 0.0012863822 0.0013069485 0.0011397653 0.0020625903 0.0007901399 0.0026331362 0.0032189412 0.0027260159 0.001123843 0.0016512664 0.0011457361 0.0014628535 0.0008969514 0.00070256775 0.00067271356 0.0008518385 0.0008286186 0.0006992506 0.002244369 0.00097589905 0.008918431 0.0024765679 0.0054162065 0.006697945 0.018161276 0.0031326958 0.0032720151 0.003254766 0.010442319 0.0008153501 0.0022941257 0.0068764063 0.004004437 0.009266065 0.023816315 0.012704601 0.00090225885 0.01720528 0.011663686 0.012682044 0.0043620234 0.001935876 0.0017806344 0.0022437053 0.0025362761 0.0009745722 0.009607066 0.0008717413 0.002977454 0.0021932852 0.00066408905 0.0033357039 0.0020891272 0.0012956702 0.0015272058 0.0012611721 0.00075033435 0.0014329993 0.000673377 0.0010674518 0.00077620795 0.0006567914 0.0007430367 0.0011457361 0.0010694421 0.0010004458 0.00058049744 0.0008956246 0.0010488759 0.0009062394 0.0006886358 0.00053472107 0.00068730896 0.00076028577 0.0005731997 0.0006090247 0.0010475491 0.00081734033 0.0006939432 0.00066674274 0.00059973676 0.00060438074 0.0005307405 0.0007251242 0.0006581182 0.0016187585 0.0005307405 0.00056789233 0.000544009 0.00048231042 0.00044648544 0.0005446724 0.0005042035 0.00041464102 0.0003602401 0.0004451586 0.0005280868 0.0005466627 0.00070920197 0.006688657 0.0013759447 0.00057519 0.00042790952 0.0007277779 0.00052410626 0.000450466 0.00046506134 0.0005201257 0.00047368588 0.00044714886 0.00043587064 0.0006315812 0.00060504413 0.0004431683 0.0006574548 0.0011669657 0.0005433456 0.0027034595 0.00046240765 0.00057850714 0.0005061937 0.0006521474 0.00040468964 0.0004484757 0.00045776367 0.0004557734 0.00035028873 0.00061300525 0.0005254331 0.0004975692 0.00049027154 0.0006946066 0.0007098654 0.0005387016 0.00047036874 0.0005148183 0.00048098358 0.00048231042 0.0005340576 0.000512828 0.00052742334 0.00042591925 0.0004843007 0.0008034084 0.0015603771 0.00040999704 0.00038478686 0.000757632 0.0005254331 0.00045112942 0.000517472 0.0005214525 0.00056324835 0.0005101743 0.0006335715 0.00065413764 0.0006693964 0.0005260965 0.0004219387 0.0006262738 0.00048562753 0.0005042035 0.0005002229 0.00087439496 0.0006203029 0.0003940748 0.0005493164 0.0006521474 0.000481647 0.00057585345 0.0005108377 0.0008113695 0.0005433456 0.0005148183 0.00048562753 0.0008345894 0.00048363727 0.0019478176 0.03515625 5.9416958e-05 6.638766e-07 0.0 0.0 0.0 9.95815e-07 1.99163e-06 6.638766e-07 0.0 6.638766e-07 1.3277532e-06 3.319383e-07 3.319383e-07 0.0 2.9874448e-06 0.016246056 8.298458e-06 6.638766e-07 0.0 3.319383e-07 1.3277532e-06 6.638766e-06 1.6596915e-06 3.319383e-07 9.95815e-07 4.315198e-06 9.95815e-07 6.638766e-07 1.99163e-06 2.3235682e-06 1.3941409e-05 0.0013151396 0.007587778 0.00016364559 3.0206385e-05 1.8256607e-05 3.0538326e-05 5.6429512e-06 9.626211e-06 2.0912114e-05 1.8588546e-05 4.6471364e-06 9.958149e-06 3.153414e-05 2.1907928e-05 8.630396e-06 1.9916299e-05 0.0001759273 0.0017951224 1.0622026e-05 3.4189645e-05 1.1617841e-05 3.518546e-05 1.8920484e-05 4.514361e-05 2.8214756e-05 1.12859025e-05 1.8920484e-05 4.9790747e-06 3.0538326e-05 7.634581e-06 7.3026426e-06 2.157599e-05 0.0006379854 0.00059383764 3.6513213e-06 1.1949779e-05 6.638766e-06 1.5601101e-05 3.1202202e-05 5.0122686e-05 3.186608e-05 1.4937224e-05 3.352577e-05 9.294273e-06 3.7840968e-05 8.630396e-06 1.4273347e-05 3.684515e-05 0.0011392123 0.009485801 5.842114e-05 0.00060246803 0.00019352003 0.0004902729 0.00014671673 0.00021476409 0.00012846013 4.8794933e-05 4.3815857e-05 7.634581e-05 0.0004925965 3.2198015e-05 2.4231496e-05 5.3774005e-05 0.0021838222 0.029596284 0.000618733 0.00204474 0.0010947325 0.0010290088 0.001124939 0.0064488975 0.0028978214 0.00030305967 0.00015667488 0.0002479579 0.00043052397 0.00023799976 0.00017625924 0.00019949493 0.0002997403 0.031650316 0.0006977343 0.003470747 0.00071765063 0.0022369323 0.0014336415 0.0101364 0.0055948202 0.00041890616 0.00016829272 0.00014173766 0.0009991343 0.00020148655 0.00015269162 0.00018688127 0.002975495 0.12352918 0.0051081986 0.017269423 0.0055231215 0.00786229 0.0064545404 0.04593263 0.027916012 0.0018668211 0.0007989755 0.00071964227 0.0012680043 0.00080461847 0.0007677733 0.0008477704 0.0028211437 0.18186203 0.023454096 0.023012951 0.012163547 0.008836198 0.0067400075 0.027094796 0.02908045 0.008005356 0.004540916 0.003987575 0.00459635 0.0035706605 0.0039799404 0.0028719301 0.0076647876 0.06618451 0.008442851 0.009424725 0.004131968 0.0071758423 0.0038259209 0.010314983 0.008854123 0.005384371 0.0031663596 0.0022538612 0.0051145055 0.0027856263 0.0019929577 0.0020795935 0.006386493 0.024287594 0.0026648007 0.003475394 0.0030213024 0.0023169294 0.0022475543 0.006137871 0.008164355 0.0018976913 0.0016075772 0.0009974746 0.001108342 0.0019192673 0.00114054 0.0011969695 0.0017184446 0.004050311 0.000457411 0.0008059462 0.00053774007 0.0005267861 0.0005709339 0.0013669219 0.00097257923 0.0002721894 0.00020679756 0.00024364272 0.00024563435 0.00026721033 0.00024463853 0.0002695339 0.00051848765 0.0023972585 0.00032297597 0.00067117927 0.0004487806 0.00043882243 0.00031401363 0.0010021217 0.000629687 0.00034587973 0.0001958436 0.00017791893 0.00024331077 0.00024297884 0.00016231783 0.00020248236 0.0003621447 0.0008494301 0.00023965946 0.00028646275 0.00025426474 0.0002625632 0.00013244338 0.0003578295 0.00026389095 0.000252937 0.00015667488 0.00014273348 0.00014771255 0.00018190219 0.00012314912 0.00016298171 0.00026422288 0.0011219515 0.00055997993 0.0005749171 0.0006505991 0.00056097575 0.0006698515 0.0007362392 0.00074885285 0.00057425327 0.0005676145 0.0006160775 0.0007106799 0.0005775727 0.00074420567 0.0007063647 0.0007568193 5422.0 21.498156 116563.0 0.04949255 0.00020589725 0.0014155435 0.0005833755 0.00032600397 0.00029168776 0.00036032018 0.00065200793 0.0008064309 0.00083216804 0.00018016009 0.0012182253 0.0039292057 0.0015699664 0.011547403 0.0019302866 0.006134022 0.003997838 0.0024536087 0.0037318876 0.0030884587 0.0033973046 0.0023849763 0.002505083 0.0019045494 0.0029340356 0.00077211467 0.0007978518 0.0011839091 0.0029340356 0.001329753 0.00025737155 0.00029168776 0.008458945 0.0052675377 0.0131002115 0.00967717 0.008467524 0.0067431345 0.0043581584 0.0051645893 0.009737223 0.0023849763 0.0026166108 0.0045812135 0.005173168 0.0045812135 0.004332421 0.009033741 0.0018616542 0.011598878 0.018076062 0.009874488 0.0039635217 0.0039034686 0.003954943 0.0019131285 0.0015528083 0.0017587056 0.0005147431 0.00022305534 0.000497585 0.00014584388 0.0121222 0.00047184783 0.042277567 0.010912553 0.023137702 0.02713554 0.106277294 0.010483601 0.018556489 0.012834261 0.04667862 0.0018702332 0.006185496 0.030567162 0.018796703 0.04577782 0.05291559 0.016403146 0.002831087 0.049792815 0.05155152 0.07151497 0.023197755 0.0070862966 0.007609619 0.0058766506 0.01375222 0.0028568243 0.000497585 0.00018016009 0.0005319012 0.00016300198 0.0001973182 5.322541 0.0 3.0 0.0 1.0 1507328.0 1540096.0 1.0 0.0 1.0 1.0 1.0 0.0 0.0 0.0 1530116400.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -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 6.0 0.0 4.0 0.0 4.0 0.0 1476608.0 1024.0 4096.0 4.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -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 -1476608.0 1024.0 28160.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.9473388 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.6309767 6.464797 3.8186226 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 -1476436.0 625.0 27904.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 75.0 1484544.0 27904.0 1499136.0 0.0 0.0 0.0 0.0 12.0 1531904.0 28.0 1484474.0 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: 0.0071462984 0.003981716 0.0038885078 0.003916995 0.0040251967 0.0038655181 0.003914996 0.0039097485 0.003933238 0.003886009 0.0038700162 0.0038910068 0.0039055003 0.0038522743 0.0038847597 0.0038722653 0.0038650185 0.0038500251 0.0037938005 0.0037825555 0.00388401 0.0038940054 0.0038745143 0.0038225376 0.0038900073 0.0038652683 0.0038625195 0.0038557725 0.0038835101 0.0038425284 0.003814541 0.0038790123 0.0041393954 0.0037888025 0.0038360315 0.0038825106 0.0039344872 0.003841529 0.00386152 0.0038712656 0.0038785124 0.0038627696 0.003859271 0.0039212434 0.003859271 0.003890257 0.0038470265 0.003908249 0.003872765 0.0038457771 0.0038020466 0.004033193 0.0038630194 0.003868517 0.0038295344 0.0038537735 0.0038270354 0.0038250363 0.0038400297 0.003892756 0.003907999 0.0038920064 0.0038447776 0.0039139967 0.0041996185 0.0039000027 0.0038430283 0.003908999 0.003850525 0.0039659734 0.0038467767 0.0038242866 0.0038570222 0.0038822608 0.0038240368 0.0037900521 0.0038390302 0.0038805115 0.0038000476 0.003921993 0.0039192443 0.0038787622 0.0038690167 0.003915996 0.003939485 0.0039022518 0.003912997 0.0038662679 0.0038642688 0.003868517 0.003904001 0.003917745 0.003854773 0.003921493 0.0039224927 0.0039344872 0.0038340325 0.003933488 0.003866018 0.0038597707 0.0039142463 0.0039737197 0.0039417343 0.0038647687 0.003913247 0.0039499803 0.0038997529 0.0038545232 0.0039434833 0.003948731 0.0039544785 0.0039764685 0.0038955049 0.0038695165 0.003992711 0.003964224 0.0041593867 0.003975969 0.003886009 0.0038817609 0.0039184946 0.0038827604 0.0039404845 0.003908499 0.003916745 0.00395073 0.0038587712 0.0038915067 0.0039347373 0.0038972541 0.0038335326 0.003959476 0.0038387803 0.0039094985 0.003819039 0.0038240368 0.003830284 0.0039517297 0.0038740144 0.0043338086 0.0038562724 0.0039747194 0.003828285 0.003899503 0.0038382804 0.0037900521 0.0038245367 0.0038340325 0.0038400297 0.0038055452 0.003832533 0.003879512 0.0038290345 0.0038540233 0.0038265358 0.003915996 0.0038320331 0.003837281 0.0039349874 0.0039559775 0.003872765 0.0038690167 0.0038117922 0.0038365312 0.0038982537 0.0038732649 0.0037705607 0.003850525 0.0039025017 0.0037740592 0.0038167902 0.0038422786 0.003866518 0.0038557725 0.003904001 0.0039052505 0.0038725152 0.0038242866 0.0038265358 0.0038630194 0.0038335326 0.0038452772 0.0038767632 0.003893006 0.0039224927 0.003909998 0.0038807613 0.0039427336 0.0038587712 0.003931489 0.0038560226 0.0038972541 0.004044188 0.003877263 0.003821288 0.004019699 0.0039067497 0.0038445278 0.003931239 0.003946732 0.0038225376 0.0038692665 0.003852524 0.0038700162 0.003914996 0.0038142912 0.0038387803 0.003917245 0.0039377357 0.003859271 0.0038825106 0.0039035012 0.0038742644 0.0038520242 0.0038205383 0.0038912566 0.003917495 0.003910998 0.003857272 0.003924492 0.003915246 0.003921493 0.00390725 0.0038697664 0.0039077494 0.0038535236 0.0038652683 0.0038532738 0.003852524 0.0038695165 0.003848526 0.0039474815 0.004179128 0.0038457771 0.0039002527 0.003981716 0.0038650185 0.0039077494 0.003886259 0.0038910068 0.003970471 0.0039010025 0.0038757636 0.0038955049 0.0038442777 0.0038760134 0.0038337824 0.00392824 0.003961975 0.003939485 0.0038670176 0.003935237 0.004020199 0.0039212434 0.0039074994 0.004905802 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00018234 1.4997121e-06 1.87464e-06 1.999616e-06 1.3497409e-05 2.1245921e-06 2.374544e-05 1.1747745e-05 6.7487044e-06 2.874448e-06 6.2488004e-07 7.4985604e-07 9.99808e-07 8.7483204e-07 6.2488004e-07 3.624304e-06 0.00013509906 2.374544e-06 1.3747361e-05 7.4985604e-07 6.373776e-06 2.4995202e-06 6.123824e-05 3.38685e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00038867537 4.749088e-06 4.9490496e-05 5.8738724e-06 3.2743712e-05 1.624688e-05 0.00016671799 8.685832e-05 2.49952e-07 1.24976e-07 2.49952e-07 1.24976e-07 3.624304e-06 3.7492802e-07 4.37416e-06 7.373584e-06 0.00060138456 8.12344e-06 0.00014209772 6.6487235e-05 5.0240353e-05 2.2620658e-05 0.00016809272 8.7358225e-05 1.9996161e-05 2.1995776e-05 6.373776e-06 4.37416e-06 1.937128e-05 5.62392e-06 2.2370705e-05 3.3243618e-05 0.0003494329 9.498176e-06 5.411461e-05 1.7246688e-05 6.298791e-05 3.5868114e-05 0.00021570858 0.00011547783 1.9496256e-05 5.8738724e-06 3.874256e-06 9.373201e-06 1.8621424e-05 6.2488e-06 5.0865234e-05 4.911557e-05 0.00045891188 9.748128e-06 5.5489345e-05 4.9615475e-05 6.0238435e-05 2.7494722e-05 0.00016071914 9.9855824e-05 4.7990787e-05 4.749088e-05 8.248417e-06 1.3622384e-05 5.6114226e-05 1.0872913e-05 4.8740643e-05 0.00012460108 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0005332726 4.99904e-05 6.286293e-05 6.373776e-05 0.0001900885 0.00015097101 8.598349e-05 0.00011072874 0.00027807162 2.4370322e-05 3.0244193e-05 4.3866577e-05 0.00014122289 8.973277e-05 0.00013472413 0.00031368976 0.001364738 0.00020246113 0.00030169208 0.0002874448 0.000531023 0.0005290234 0.00039104992 0.00042954253 0.0008714577 0.00010273028 0.0001156028 0.00016521828 0.00048115762 0.00029594317 0.00046428587 0.00088920427 0.061631415 0.06137809 0.06150569 0.061426707 0.061191376 0.061610296 0.061359968 0.061923735 0.061329223 0.061431207 0.061490443 0.061803635 0.061578177 0.061842628 0.061736148 0.062172063 18834.0 5.8869596 110875.0 0.015089064 0.00983089 0.010588501 0.009857948 0.009542277 0.009560316 0.009334836 0.010074408 0.009677565 0.0094971815 0.00994814 0.010119504 0.009975198 0.010227734 0.01005637 0.010552424 0.00983991 0.010245772 0.009921082 0.010498309 0.009749718 0.009966178 0.009785795 0.00973168 0.0100022545 0.009560316 0.00961443 0.009488163 0.010462232 0.010372041 0.010218714 0.00994814 0.0101646 0.010471252 0.009785795 0.010326945 0.009975198 0.010642615 0.010020293 0.010128523 0.009542277 0.010795942 0.009812852 0.009785795 0.01027283 0.010173619 0.009794814 0.010245772 0.010209695 0.009388952 0.010281849 0.010552424 0.010119504 0.009939121 0.009758737 0.009848929 0.009226606 0.01027283 0.009803833 0.010263811 0.00919053 0.0100022545 0.010290868 0.010281849 0.009704622 0.012500564 0.010182638 0.0110033825 0.011039459 0.01600902 0.010372041 0.0102998875 0.010777903 0.011932356 0.009885006 0.009930101 0.012834273 0.010877114 0.012266065 0.012653889 0.011111612 0.009776776 0.0123111615 0.0130146565 0.014367531 0.0114092445 0.0103990985 0.010155581 0.010146561 0.010444194 0.010335964 0.010047351 0.009767757 0.009875987 0.009578354 0.010281849 6.5770206 0.0 2.0 0.0 63.0 4001792.0 86016.0 0.0 0.0 8.0 0.0 1.0 0.0 1.0 0.0 708992500.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 -1.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -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 0.0 2.0 25.0 1.0 0.0 4.0 0.0 41984.0 1024.0 4096.0 8.0 3.0 0.0 1.0 4.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 512.0 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 -41984.0 0.0 0.0 0.0 0.0 0.0 0.0 -2560.0 11264.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0825517 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.154335 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.6449018 0.0 0.0 0.0 0.0 0.0 0.0 -4.6409984 4.592637 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -8.0 0.0 0.0 -2336.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 24.0 0.0 3732.0 0.0 0.0 0.0 0.0 0.0 -592.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -41480.0 0.0 0.0 0.0 0.0 0.0 0.0 -2428.0 11264.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2428.0 57344.0 11264.0 73728.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 24.0 65536.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0


Input: 0.11767987 0.011976898 0.0043531354 0.003821782 0.004937294 0.003330033 0.002848185 0.0037128713 0.0046633664 0.0026930694 0.0035577558 0.003158416 0.0035907591 0.0028052805 0.0026765678 0.0041650166 0.004739274 0.0059867986 0.002689769 0.0026930694 0.0029966997 0.0046138614 0.0037557755 0.0032343233 0.0029933993 0.0032244225 0.0026237625 0.0027227723 0.002759076 0.0027755776 0.0022409242 0.002518152 0.0052673267 0.0024752475 0.0025247524 0.0022640263 0.0033135314 0.002910891 0.0023234324 0.002310231 0.0028217821 0.002471947 0.0024950495 0.0027656765 0.0025742573 0.0024356435 0.0024521453 0.0025940593 0.004429043 0.0036534653 0.0028316833 0.0040363036 0.002950495 0.0031980197 0.002650165 0.0028745874 0.0032145216 0.003039604 0.0030066008 0.0042079207 0.0033927392 0.0031419143 0.0030759077 0.002960396 0.0062970296 0.0030726073 0.0038580857 0.0027920792 0.004633663 0.004240924 0.0038778877 0.0030627062 0.0034818482 0.0028844886 0.0030132013 0.002709571 0.002940594 0.0031485148 0.0027920792 0.0028316833 0.0044455444 0.0030132013 0.0031881188 0.003359736 0.0026864687 0.0031320131 0.0034719473 0.00339934 0.0028085809 0.0038679868 0.0027326732 0.002867987 0.00279868 0.0031716172 0.0031749175 0.0032178217 0.0028184818 0.004161716 0.0029339935 0.003369637 0.0036930693 0.0049735974 0.0038349836 0.0028646865 0.0046270625 0.004108911 0.0037161717 0.0026765678 0.0033927392 0.0028415842 0.003920792 0.0038019803 0.0037392739 0.003069307 0.0040858085 0.0035379538 0.0062013203 0.004970297 0.0031419143 0.0046567656 0.003620462 0.0027227723 0.0028052805 0.002610561 0.0025445544 0.0029570956 0.0031155115 0.0030924093 0.0044422443 0.0031353135 0.0026600661 0.005 0.0031650164 0.0045214524 0.0026831683 0.0030825082 0.0037953795 0.0068712872 0.0029933993 0.008287129 0.002620462 0.004422442 0.0030462046 0.002620462 0.0028184818 0.0026369637 0.0028316833 0.0026270626 0.0026831683 0.003009901 0.002580858 0.0024851486 0.0024653466 0.002379538 0.0024818482 0.0024752475 0.0026600661 0.0026171617 0.002471947 0.002851485 0.0031254126 0.0031881188 0.0025841584 0.0030726073 0.0028811882 0.0028349834 0.0027227723 0.0026369637 0.002782178 0.002759076 0.002620462 0.002729373 0.0037359735 0.002468647 0.0027128712 0.002620462 0.003250825 0.0028778878 0.0028778878 0.002650165 0.00320132 0.002848185 0.0031518152 0.002867987 0.0037656766 0.003240924 0.0028745874 0.006356436 0.0028184818 0.002640264 0.0028976898 0.002990099 0.005561056 0.0033564356 0.003290429 0.0046237623 0.0030066008 0.0030726073 0.0035016502 0.003570957 0.003359736 0.0035478547 0.0030594058 0.003019802 0.0033762376 0.0031287128 0.0028646865 0.0028580858 0.0034719473 0.0030033004 0.0033432343 0.0027425743 0.003019802 0.0027359736 0.0028811882 0.0028613862 0.0034026403 0.002851485 0.002848185 0.0029372938 0.0030825082 0.0029141915 0.0028580858 0.002891089 0.0038976897 0.0028151816 0.0027326732 0.0027656765 0.0030528053 0.002848185 0.0028085809 0.0026600661 0.0061452147 0.0031155115 0.0027656765 0.003669967 0.0038514852 0.0042541255 0.003640264 0.0037623763 0.004161716 0.0034983498 0.003379538 0.0032475248 0.0034917493 0.0035379538 0.0041551157 0.004059406 0.005679868 0.0035577558 0.0035379538 0.0032739274 0.0038019803 0.0030726073 0.0035346535 0.03319142 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0051435614 0.00017936862 0.00011791826 2.989477e-05 0.00028400033 8.138021e-05 0.00013784811 0.00015445631 0.00018767272 4.6502977e-05 5.64679e-05 0.00014116974 2.3251489e-05 2.6573129e-05 0.0001212399 7.1415285e-05 0.004620403 0.00015113468 0.00015113468 1.9929847e-05 0.00039195365 0.00016608206 0.0005430883 0.0004118835 0.00011127498 2.1590668e-05 5.978954e-05 3.9859693e-05 1.8269026e-05 2.823395e-05 2.3251489e-05 4.4842156e-05 0.013827992 0.0022919325 0.0012422937 0.00039859695 0.0007556734 0.0004683514 0.0031256643 0.0015811012 0.00022919325 0.00013784811 3.9859693e-05 5.812872e-05 0.00012456154 7.473693e-05 0.0012971009 0.0015578497 0.007183049 0.0007457084 0.00038531038 0.00022088914 0.0010446562 0.0006626674 0.0034096646 0.0015727971 9.3005954e-05 5.1485436e-05 7.1415285e-05 6.4772e-05 0.00010795334 7.9719386e-05 0.00039029284 0.0009234162 0.013145395 0.0017206101 0.00064938085 0.001258902 0.0010214046 0.00059291295 0.0011708785 0.00068425806 0.0005596965 0.0005713223 0.00042350925 0.00038198874 0.00049160287 0.00043015252 0.0014216624 0.0026872077 0.029506138 0.0039593964 0.0012207031 0.0033166588 0.002147441 0.0013768203 0.0024364237 0.0028765413 0.002305219 0.0015844228 0.0023484002 0.0046918183 0.0030990911 0.0022437687 0.0027636054 0.008953484 0.02718099 0.0027536405 0.0018368675 0.005043912 0.0031987405 0.001758809 0.00380494 0.004442695 0.0036471619 0.0022720026 0.0035226005 0.0052631404 0.0048761694 0.004612099 0.0044310694 0.016593259 0.027440077 0.0031854538 0.002562646 0.0040009166 0.0063077966 0.006930604 0.004450999 0.0055886614 0.012017698 0.0019680725 0.002647348 0.003620589 0.006874136 0.0037235597 0.0058477493 0.01507859 0.016008649 0.0027901786 0.0016724464 0.0031007521 0.0054325443 0.0048894556 0.0038447997 0.004397853 0.008583121 0.00084203604 0.0014831128 0.0019796982 0.0050870935 0.0018750664 0.0042002155 0.00864291 0.03529576 0.034819104 0.03414315 0.035289116 0.035108086 0.03444874 0.034845676 0.03523929 0.03568273 0.03453344 0.034779243 0.035101444 0.03453012 0.03471115 0.034357395 0.034938682 1466.0 7.8478856 11505.0 0.024511082 0.0041720993 0.005823555 0.0041720993 0.0057366365 0.0056497175 0.003911343 0.004432855 0.0062581487 0.004867449 0.0053020427 0.0061712298 0.004432855 0.0061712298 0.005823555 0.004519774 0.03641895 0.009908736 0.00895263 0.015819209 0.010777922 0.008778792 0.008431117 0.007388092 0.01095176 0.008170361 0.0094741415 0.010082573 0.009821816 0.0085180355 0.007996523 0.0085180355 0.0094741415 0.0104302475 0.0041720993 0.008344199 0.011212517 0.012690134 0.009387223 0.0104302475 0.009387223 0.009126467 0.0052151238 0.0052151238 0.00956106 0.007388092 0.008778792 0.005910474 0.011125597 0.00686658 0.0104302475 0.014863103 0.008257279 0.008083442 0.009126467 0.010343329 0.008170361 0.0094741415 0.0069534983 0.0076488485 0.0066927425 0.007301173 0.007909604 0.0094741415 0.005388961 0.023641896 0.0061712298 0.016514558 0.018166015 0.045458496 0.008083442 0.008170361 0.009821816 0.0259887 0.0066058235 0.0050412863 0.019817472 0.008604954 0.027553238 0.024858758 0.010082573 0.0051282053 0.024250327 0.019730551 0.03363755 0.017470665 0.008170361 0.007735767 0.0113863535 0.007996523 0.0066058235 0.0052151238 0.0046936115 0.0038244242 0.0072142547 0.0055627986 6.3190866 0.0 0.0 0.0 4.0 303000.0 417792.0 0.0 0.0 73.0 0.0 0.0 0.0 0.0 0.0 1285501000.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 18.0 1.0 11.0 4.0 0.0 20480.0 1024.0 4096.0 5.0 0.0 0.0 1.0 2.0 0.0 0.0 0.0 0.0 0.0 -1536.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 130048.0 -2560.0 512.0 0.0 0.0 0.0 0.0 0.0 -20480.0 0.0 0.0 0.0 0.0 0.0 -6.151615 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 6.5944805 -4.8308244 1.5225594 0.0 0.0 0.0 0.0 0.0 -6.5406075 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 384800.0 -2324.0 0.0 0.0 0.0 0.0 0.0 0.0 -20476.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 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 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -2.0 0.0 0.0 0.0 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 -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 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 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 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 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2324.0 24576.0 512.0 417792.0 0.0 0.0 0.0 0.0 1324.0 413696.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 316.0 25032.0 0.0 0.0 0.0 0.0


Input: 0.1848526 0.0051345825 0.00315094 0.0031814575 0.0030975342 0.002822876 0.0025100708 0.0026550293 0.0047302246 0.0035247803 0.0026779175 0.0026474 0.004638672 0.0030212402 0.0026931763 0.0036849976 0.0028686523 0.0026550293 0.0026931763 0.0040283203 0.0042495728 0.002746582 0.0028533936 0.0025100708 0.003540039 0.0029449463 0.0030822754 0.0029678345 0.002708435 0.002319336 0.0030059814 0.002784729 0.003692627 0.0027160645 0.0026245117 0.0026779175 0.008377075 0.002822876 0.0026245117 0.0025558472 0.0031356812 0.0038070679 0.0027618408 0.0033111572 0.0030670166 0.0024261475 0.0031356812 0.0035705566 0.0028915405 0.002632141 0.0027923584 0.002937317 0.0043792725 0.0030670166 0.0028457642 0.00365448 0.0028457642 0.0029449463 0.0030441284 0.0031661987 0.0038604736 0.002784729 0.0024642944 0.0027999878 0.0053710938 0.0029678345 0.0036010742 0.00415802 0.0051116943 0.00415802 0.0034332275 0.0037765503 0.0030975342 0.0028076172 0.0023651123 0.0024795532 0.0038452148 0.0035934448 0.0042495728 0.0036468506 0.0030517578 0.003112793 0.003479004 0.003921509 0.0035476685 0.0047073364 0.0033035278 0.002960205 0.0025253296 0.0037078857 0.0043563843 0.002670288 0.0028533936 0.003211975 0.0031204224 0.004020691 0.0040893555 0.002937317 0.0027313232 0.0027236938 0.0035095215 0.00365448 0.0036010742 0.0026550293 0.0031738281 0.0052261353 0.0030899048 0.0035171509 0.0030975342 0.003036499 0.0039978027 0.0034103394 0.0030593872 0.003227234 0.0034561157 0.004371643 0.00541687 0.0034332275 0.0028076172 0.0023651123 0.0029296875 0.0031814575 0.0035934448 0.002784729 0.0031433105 0.0028839111 0.0025482178 0.0026931763 0.0033187866 0.00440979 0.002670288 0.0038909912 0.004142761 0.0028381348 0.0030136108 0.0029678345 0.0031661987 0.007659912 0.0041275024 0.007347107 0.0035324097 0.0031967163 0.0025787354 0.0022583008 0.0025100708 0.0027236938 0.003479004 0.0030136108 0.003227234 0.003288269 0.0037002563 0.003288269 0.0028686523 0.0027923584 0.0026855469 0.002532959 0.0029754639 0.003250122 0.0029678345 0.002571106 0.0020828247 0.0029296875 0.0025100708 0.0024337769 0.0029144287 0.002418518 0.0024032593 0.0030288696 0.0025558472 0.0030441284 0.003227234 0.0024795532 0.0023880005 0.002494812 0.0027923584 0.0031280518 0.0046081543 0.0025863647 0.0025863647 0.0023498535 0.0029830933 0.002418518 0.0024261475 0.002822876 0.003112793 0.0027236938 0.0031738281 0.0048446655 0.0026855469 0.0026474 0.002746582 0.0030441284 0.003250122 0.0029754639 0.0035095215 0.0037231445 0.0033721924 0.0028762817 0.0026855469 0.004470825 0.002670288 0.0024871826 0.0032348633 0.0039520264 0.0027770996 0.0027694702 0.0025405884 0.0027008057 0.002998352 0.0027313232 0.0029678345 0.0025787354 0.0029144287 0.0036087036 0.0026016235 0.0025253296 0.002937317 0.0028533936 0.002922058 0.0035934448 0.0024261475 0.0027008057 0.0027008057 0.0025863647 0.0033569336 0.0025787354 0.0027694702 0.002708435 0.0029830933 0.003250122 0.002418518 0.0020065308 0.0034179688 0.00315094 0.0038223267 0.0047683716 0.0036697388 0.0022583008 0.0025177002 0.0032043457 0.0026626587 0.0028381348 0.0028533936 0.0028839111 0.0030136108 0.002571106 0.0028152466 0.0027389526 0.0035476685 0.0043411255 0.0031051636 0.0036773682 0.002609253 0.0027999878 0.0032043457 0.0052719116 0.070681594 0.0 3.8447342e-06 7.6894685e-06 2.691314e-05 1.1534203e-05 9.227362e-05 3.8447342e-05 0.0 0.0 3.8447342e-06 0.0 0.0 0.0 0.0 0.0 0.0076010395 0.0 1.5378937e-05 1.1534203e-05 1.9223671e-05 1.9223671e-05 0.00014225517 6.151575e-05 0.0 0.0 0.0 3.8447342e-06 0.0 0.0 0.0 0.0 0.0072511686 6.920522e-05 7.304995e-05 2.3068405e-05 0.00010765256 3.460261e-05 0.0001230315 7.304995e-05 1.9223671e-05 1.5378937e-05 3.8447342e-06 1.9223671e-05 2.691314e-05 3.8447342e-06 7.6894685e-06 2.3068405e-05 0.02066929 8.842889e-05 0.00010765256 0.0011918676 0.00012687623 0.0001460999 0.0001345657 0.00013072096 0.00013072096 0.0001345657 9.9963094e-05 0.00013072096 0.0001345657 0.00011149729 0.0001345657 0.00014994464 0.006397638 5.7671015e-05 0.00018070251 1.9223671e-05 8.458416e-05 4.229208e-05 0.0006420706 0.0003575603 3.8447342e-05 3.8447342e-06 0.0 7.6894685e-06 1.1534203e-05 1.9223671e-05 3.8447342e-06 7.6894685e-06 0.0122723915 0.00016532357 0.00033064713 0.00026528665 0.0005305733 0.00021530512 0.001041923 0.0005036602 4.9981547e-05 5.382628e-05 4.229208e-05 6.536048e-05 3.0757874e-05 4.613681e-05 7.6894685e-05 5.7671015e-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 0.026597872 0.0005267286 0.0010649913 0.00047290232 0.0017993356 0.00059977855 0.0030757873 0.0016301674 0.0005574865 0.0004690576 0.00025375246 0.00031142347 0.0006190022 0.000549797 0.0003460261 0.0004959707 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0050519807 0.00020377092 0.00017301305 0.00028835508 0.00021914985 0.00025375246 0.00018070251 0.00018839198 0.00019608144 0.00017685778 0.000103807826 0.0001460999 0.00019223671 0.00018839198 0.00021530512 9.6118354e-05 0.0077048475 0.000303734 0.0003575603 0.00032295767 0.0013341227 0.0006151575 0.0017109067 0.0008189284 0.00076894683 0.00015378937 9.227362e-05 0.00017685778 0.00039985238 0.00018070251 0.00041138657 0.0003960076 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.010911356 0.0006728285 0.0025836613 0.0007304995 0.0022530144 0.0011072835 0.0008266179 0.00074587844 0.0042292075 0.0007266548 0.0005075049 0.0007766363 0.0013841044 0.00088044413 0.0014802227 0.0016801489 0.0017339751 0.0002806656 0.0005843996 0.00019223671 0.0007035864 0.00043061023 0.00019223671 0.00018454724 0.0014494648 0.00012687623 6.536048e-05 0.00014994464 0.00045367863 0.00024990772 0.00048059179 0.0005959338 0.0075433687 0.0017608883 0.005236528 0.0016916831 0.005125031 0.0030488742 0.0011265072 0.0015878753 0.008689099 0.000680518 0.00047674705 0.0009304257 0.0027566745 0.0011188177 0.0022068776 0.0032641795 0.045206387 0.04413755 0.04294184 0.044256736 0.04668661 0.048420582 0.045467827 0.04590997 0.04545245 0.045694668 0.04151544 0.045398623 0.044352856 0.042653482 0.04389533 0.04454509 594.0 6.621212 3933.0 0.009153318 0.005339436 0.007119247 0.0040681413 0.009661836 0.004576659 0.0068649887 0.005085177 0.004576659 0.007373506 0.0066107297 0.009661836 0.0055936943 0.0061022122 0.011441648 0.007627765 0.007627765 0.008644801 0.008899059 0.01093313 0.008644801 0.004830918 0.0035596236 0.007882024 0.007882024 0.007627765 0.013221459 0.0063564708 0.007882024 0.005339436 0.005339436 0.007373506 0.019323671 0.010424612 0.020594966 0.014492754 0.014492754 0.007373506 0.013221459 0.0127129415 0.009153318 0.0068649887 0.0061022122 0.009407577 0.011187389 0.008136283 0.011950165 0.008899059 0.012967201 0.005085177 0.008390541 0.015001271 0.009407577 0.009661836 0.0063564708 0.008136283 0.007119247 0.009916094 0.028476989 0.009661836 0.0061022122 0.008136283 0.008136283 0.009661836 0.0061022122 0.015001271 0.009153318 0.010424612 0.014492754 0.025680142 0.012967201 0.011950165 0.010170354 0.018815154 0.008390541 0.024408849 0.017798118 0.009916094 0.016018307 0.023137555 0.009916094 0.004830918 0.017289601 0.034070686 0.025425883 0.010678872 0.007119247 0.007373506 0.007373506 0.009153318 0.022120519 0.0058479533 0.0066107297 0.0055936943 0.004830918 0.007882024 6.402217 0.0 0.0 0.0 3.0 131072.0 167936.0 1.0 0.0 38.0 1.0 1.0 0.0 0.0 0.0 1374946200.0 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 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 12.0 0.0 6.0 0.0 5.0 0.0 12288.0 4096.0 4096.0 6.0 0.0 0.0 1.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4096.0 4096.0 0.0 0.0 0.0 0.0 0.0 0.0 -98304.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -12288.0 -4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.040911 5.782743 0.0 0.0 0.0 0.0 0.0 0.0 -7.9778914 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.367949 -1.5000908 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 3.328595 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2102.0 300.0 0.0 0.0 0.0 0.0 0.0 0.0 -94460.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -11010.0 -36882.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2240.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4220.0 17324.0 2240.0 159744.0 0.0 0.0 0.0 0.0 300.0 163840.0 56.0 16736.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 176.0 16384.0 76.0 17536.0 0.0 0.0


Input: 0.056704383 0.0083026495 0.0061694887 0.0056597674 0.005756117 0.004957347 0.0042020897 0.005423555 0.0050526606 0.0056214347 0.003753494 0.0044745626 0.004960455 0.0031743597 0.004325376 0.0046455055 0.0050350484 0.0037721423 0.0049262666 0.004160649 0.0043512764 0.0031764319 0.0041109202 0.0038405196 0.005072345 0.0033535908 0.0031608916 0.0029267515 0.004150289 0.0034395806 0.0037876826 0.0037907907 0.0061757048 0.0038208351 0.0034820572 0.0030293171 0.004900366 0.0041627213 0.0038425915 0.0037182693 0.004726315 0.0038943924 0.0033328705 0.0030976944 0.004371997 0.0037327737 0.0037307015 0.003585659 0.005511617 0.0039451574 0.0031070185 0.002903959 0.0036757926 0.003071794 0.0026822512 0.0028687345 0.004171009 0.0033183664 0.0035214259 0.003357735 0.0040062824 0.0032209805 0.0035007056 0.0034478686 0.0066118683 0.0039451574 0.0036270998 0.0032199447 0.004155469 0.0032189086 0.0035421462 0.003065578 0.004999824 0.0037793943 0.003703765 0.0035939473 0.0041264608 0.003127739 0.0035628667 0.003466517 0.005180091 0.0036291718 0.003649892 0.0033359786 0.0039337613 0.0033857075 0.003366023 0.003533858 0.0046537938 0.003644712 0.003809439 0.0035100298 0.0041140285 0.0033836355 0.0036861529 0.0037845746 0.005914628 0.0036250276 0.0033432308 0.002958868 0.0040104263 0.0030490016 0.0032613853 0.0030272452 0.0049759955 0.0031608916 0.0031992241 0.0030500377 0.003581515 0.0028386898 0.0030862982 0.0031971522 0.004505643 0.0032924658 0.0032261608 0.0031412072 0.0038902485 0.0033318345 0.0032903939 0.0036229556 0.004621677 0.003288322 0.003476877 0.0031722877 0.004032183 0.0032002602 0.003472733 0.0033421947 0.008651788 0.0045968127 0.0040135346 0.003526606 0.0043688887 0.0034395806 0.003026209 0.0033867436 0.004539832 0.0038374115 0.002953688 0.003193008 0.0037286296 0.0027993212 0.0028500862 0.0029775163 0.0052267117 0.0032095844 0.0034944895 0.0030272452 0.0036633604 0.003185756 0.0033069702 0.0032624213 0.004543976 0.002837654 0.0030365693 0.0026988275 0.0035141737 0.0032282327 0.0029785524 0.0031505313 0.0050091483 0.00341368 0.0032696736 0.002793105 0.0037773224 0.003011705 0.0030583257 0.00317954 0.0041409647 0.003004453 0.003118415 0.003015849 0.003639532 0.0028386898 0.0029184632 0.0030334613 0.00467037 0.0031142707 0.0038384474 0.0028563023 0.0035628667 0.0031505313 0.0029889126 0.003118415 0.004253891 0.0031432793 0.0033370147 0.0031774677 0.003644712 0.003188864 0.0033256183 0.0033390867 0.0067237583 0.0040632635 0.0037203415 0.0033349425 0.004115064 0.0032499891 0.00329661 0.0032240886 0.0043347003 0.0033339066 0.0031142707 0.0030842263 0.003646784 0.0029826965 0.0030780102 0.0027993212 0.004243531 0.0032810697 0.0030862982 0.0029982368 0.0037120532 0.0030272452 0.0029340035 0.0029495438 0.003979346 0.0031090907 0.0027216198 0.0026366664 0.00353075 0.0029412557 0.0035763348 0.0028832387 0.004955275 0.003238593 0.0034043558 0.0029775163 0.0038021868 0.00306765 0.003194044 0.002909139 0.004443482 0.0054546357 0.003471697 0.003132919 0.0037887185 0.0030831902 0.003244809 0.003190936 0.004611317 0.0033162944 0.0034240403 0.0030417494 0.0037379537 0.0030904424 0.0033111142 0.003240665 0.004342988 0.0030324252 0.003187828 0.0028645904 0.0040124985 0.0031008024 0.004221774 0.0045170393 0.011680352 0.0 0.0 0.0 0.0 0.0 1.0377922e-06 3.1133768e-06 0.0 1.0377922e-06 2.0755845e-06 0.0 0.0 1.0377922e-06 0.0 1.0377922e-06 0.002053791 4.151169e-06 2.0755845e-06 6.2267536e-06 5.188961e-06 1.0377922e-06 3.1133768e-05 1.1415715e-05 0.0 0.0 1.0377922e-05 0.0 0.0 0.0 0.0 0.0 0.0009511366 2.5944805e-06 6.2267536e-06 1.2972403e-05 9.34013e-06 5.7078573e-06 5.1889612e-05 2.283143e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0028648255 3.580383e-05 2.8020391e-05 1.0896819e-05 2.2312533e-05 3.476604e-05 4.2549484e-05 1.8161365e-05 3.580383e-05 5.188961e-06 9.859026e-06 1.608578e-05 2.6463702e-05 7.2645457e-06 1.7123572e-05 1.2972403e-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 0.0008805667 1.19346105e-05 1.2453507e-05 8.302338e-06 1.3491299e-05 1.608578e-05 1.3491299e-05 1.1415715e-05 1.0896819e-05 1.3491299e-05 6.7456494e-06 1.3491299e-05 1.19346105e-05 1.0377922e-05 1.8161365e-05 9.859026e-06 0.0016262204 6.538091e-05 5.7078574e-05 4.8776234e-05 4.7738442e-05 3.0614872e-05 2.283143e-05 0.00055521884 3.0095975e-05 1.7123572e-05 1.9718052e-05 0.00027760942 2.0755844e-05 0.00027449604 1.6604676e-05 7.783442e-05 0.00074357813 3.736052e-05 3.4247143e-05 2.0755844e-05 2.2312533e-05 1.7123572e-05 1.4010196e-05 1.19346105e-05 1.6604676e-05 2.283143e-05 1.9199157e-05 1.7642467e-05 6.7456494e-06 4.670065e-06 2.283143e-05 5.085182e-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 0.0013195529 3.736052e-05 4.306838e-05 6.019195e-05 4.2549484e-05 3.1652664e-05 9.184462e-05 5.863526e-05 3.9436105e-05 5.759747e-05 4.410617e-05 4.306838e-05 7.835332e-05 7.783442e-06 8.821234e-06 0.0001613767 0.0011701108 6.953208e-05 4.6181754e-05 4.6181754e-05 3.8398313e-05 3.7879418e-05 4.7738442e-05 6.019195e-05 5.2408508e-05 5.085182e-05 6.8494286e-05 5.1889612e-05 7.5239936e-05 1.45290915e-05 4.410617e-05 0.0002516646 0.0045823716 0.0002942141 0.00027293936 0.00026463703 0.000309781 0.0002392111 0.00033001794 0.00031289435 0.00032690456 0.00035284937 0.00032690456 0.00035284937 0.0005220095 0.00015151767 0.0001868026 0.0007383892 0.0032000323 0.00027397714 0.00030095974 0.00024907014 0.00028902513 0.0002827984 0.00034350922 0.0009345319 0.00040785235 0.00035181158 0.00032482896 0.0006698949 0.00046337425 0.00043587273 0.000174868 0.0008618865 0.002253566 0.00018213254 0.00029058184 0.00024543787 0.00029888417 0.0002952519 0.00028591175 0.0004031823 0.00044365617 0.00032327228 0.00024647565 0.00031756444 0.00046129865 0.00016189559 0.00018991598 0.0010398679 0.00034506593 5.448409e-05 4.306838e-05 4.5143963e-05 5.448409e-05 4.8257338e-05 5.34463e-05 5.1889612e-05 7.056987e-05 4.8257338e-05 3.8398313e-05 4.9295133e-05 4.4625067e-05 2.6463702e-05 4.2030584e-05 4.7219546e-05 0.099233694 0.062023655 0.062470943 0.055316404 0.060619522 0.059579134 0.054943834 0.054473713 0.060468003 0.053142227 0.052120004 0.052927922 0.056410234 0.050526474 0.056664493 0.05381939 4028.0 5.7023335 22969.0 0.017153556 0.010448866 0.009316905 0.008750925 0.013365841 0.012451565 0.011798511 0.011450215 0.012582176 0.009795812 0.008446166 0.008750925 0.013844747 0.010623014 0.011885585 0.00996996 0.016718185 0.012016196 0.008794462 0.0075754276 0.009795812 0.00853324 0.0077931127 0.008359092 0.010361792 0.00840263 0.009621664 0.008837999 0.011493753 0.009012147 0.0096652005 0.009186295 0.018111367 0.010884236 0.010361792 0.009142757 0.010840698 0.008794462 0.010710088 0.008359092 0.014193043 0.011580827 0.009708738 0.009012147 0.011450215 0.009360442 0.0116679 0.00953459 0.014759023 0.009578127 0.00996996 0.00896861 0.012059732 0.009316905 0.00953459 0.0097522745 0.013714137 0.009229831 0.01053594 0.00953459 0.011188994 0.009882886 0.010405329 0.010710088 0.01793722 0.01097131 0.0096652005 0.008228482 0.013061082 0.008272019 0.009360442 0.008315556 0.015412077 0.009273369 0.008881536 0.008707388 0.011363141 0.008010797 0.009882886 0.007836649 0.0132787675 0.007967261 0.008707388 0.008794462 0.011406679 0.009491053 0.008184945 0.007836649 0.01097131 0.008794462 0.011972658 0.008576778 0.011276068 0.009012147 0.0100134965 0.008881536 6.5546565 0.0 0.0 0.0 14.0 965234.0 2072576.0 0.0 0.0 2.0 0.0 1.0 0.0 0.0 0.0 1504401000.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 40.0 1.0 6.0 0.0 4.0 0.0 4.0 0.0 192512.0 4096.0 4096.0 6.0 0.0 0.0 4.0 6.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 94208.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 831488.0 0.0 0.0 16384.0 0.0 0.0 4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -0.7120981 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 7.959737 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.042169247 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 7.86137 0.0 0.0 7.523454 0.0 0.0 0.22095801 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 204800.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 995328.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 831488.0 0.0 0.0 27980.0 0.0 0.0 4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 3.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 149.0 237677.0 27980.0 208896.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0


Input: 0.21377899 0.0052659237 0.0034266822 0.0033938386 0.003842701 0.0034814214 0.0035252129 0.0037989095 0.004269668 0.0026822272 0.0049484354 0.0023428435 0.003919336 0.0029997153 0.0026055921 0.0031639333 0.0035033172 0.002704123 0.0027150707 0.0025727486 0.0034485778 0.0034047863 0.002386635 0.0024194785 0.0024304264 0.001959668 0.0023209476 0.00231 0.00231 0.002693175 0.0020910425 0.002134834 0.0026822272 0.002134834 0.0025618006 0.0021895734 0.0024304264 0.0044557815 0.0020034595 0.002627488 0.0025946442 0.002211469 0.00231 0.002222417 0.0025946442 0.002386635 0.0024413741 0.002550853 0.002528957 0.0020800945 0.0041273455 0.004992227 0.0037441703 0.001970616 0.00231 0.0024194785 0.0034266822 0.0024085306 0.003842701 0.0020800945 0.0031858291 0.002211469 0.0026055921 0.0040507107 0.01600578 0.0030435068 0.0031529856 0.0030216111 0.002222417 0.007827724 0.002364739 0.002550853 0.0028245496 0.002299052 0.0024194785 0.008156161 0.0030435068 0.007521184 0.008276587 0.002299052 0.0044557815 0.0045871558 0.0029668717 0.0029230802 0.0027698101 0.006316919 0.0022662084 0.0027479145 0.002550853 0.0022662084 0.0025070615 0.0024194785 0.002868341 0.0041492414 0.00231 0.0028464452 0.002364739 0.0028573931 0.0024413741 0.0025070615 0.0026055921 0.0027260187 0.004554312 0.002134834 0.002780758 0.0025070615 0.0027588622 0.0026055921 0.0025727486 0.0028026537 0.0024085306 0.0026712795 0.0033390992 0.0027588622 0.0034704737 0.004510521 0.0034595258 0.0043244073 0.002123886 0.005725734 0.0025946442 0.0025070615 0.0019049287 0.0021786254 0.002550853 0.0026603315 0.0024851656 0.0025180092 0.008813032 0.0030216111 0.0027150707 0.003985023 0.0024961135 0.0030654026 0.001970616 0.00246327 0.0028354973 0.0059009 0.0026384357 0.014089904 0.002299052 0.0033062557 0.002134834 0.0023209476 0.0026493836 0.00261654 0.0019158766 0.002134834 0.002299052 0.002123886 0.0021786254 0.002211469 0.002277156 0.0047185305 0.0023318955 0.0024085306 0.0021895734 0.00231 0.0018939809 0.0021019904 0.0028573931 0.002386635 0.0020800945 0.0025836965 0.0029230802 0.0022333646 0.0021895734 0.0019487202 0.0023537911 0.0023318955 0.0023537911 0.002134834 0.0023209476 0.002222417 0.0019268245 0.002134834 0.0037770139 0.0025070615 0.0024085306 0.0024742177 0.0026384357 0.0032734121 0.002058199 0.002386635 0.0026493836 0.0024194785 0.0021676775 0.0021567296 0.0026822272 0.0022443125 0.0026603315 0.002386635 0.0035471087 0.0029997153 0.0030435068 0.003601848 0.0033500472 0.002386635 0.0023537911 0.0054410896 0.0025946442 0.0025618006 0.0021019904 0.0023318955 0.00933853 0.0020800945 0.0021019904 0.0021457819 0.0024304264 0.0020253554 0.0027150707 0.002528957 0.0027369666 0.0029011846 0.002277156 0.002211469 0.002704123 0.0024961135 0.0020910425 0.0024085306 0.0024742177 0.0026603315 0.0021457819 0.0023537911 0.0032186727 0.0026493836 0.0031639333 0.0021786254 0.0029887676 0.004532417 0.0024085306 0.00246327 0.0053644544 0.0021895734 0.00231 0.0029011846 0.0059994305 0.0023428435 0.0024961135 0.0023318955 0.0034157343 0.0029559238 0.00343763 0.0028573931 0.0044119903 0.00231 0.002528957 0.0025180092 0.0045652604 0.0022443125 0.0021786254 0.0023975826 0.0071380087 0.0023209476 0.0022443125 0.013881895 0.068165176 0.0 0.0 5.5486507e-06 5.5486507e-06 0.0 0.0 0.0 0.0 0.0 5.5486507e-06 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.010081898 0.00023304332 9.432706e-05 1.10973015e-05 7.768111e-05 7.768111e-05 0.00019420277 9.987571e-05 4.4389206e-05 0.00017200816 1.6645952e-05 4.9937855e-05 2.2194603e-05 0.00011652166 1.6645952e-05 5.5486507e-05 0.019259365 0.00017200816 0.00013316762 0.0005937056 0.00018310547 0.00019975142 0.00024414062 0.00027743253 0.00019975142 8.322976e-05 3.3291904e-05 0.00028298117 0.00013316762 7.2132454e-05 0.00027743253 0.00058260834 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.024963379 0.0010209517 0.00033291904 0.00024968927 0.00082674896 0.0007601651 0.0015813654 0.0007768111 0.001969771 0.00013871626 0.00019975142 0.00018865411 0.00028852982 0.00012207031 0.00028298117 0.00038840555 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.014642889 0.00024968927 0.00054376776 0.00049937854 0.0008711381 0.0006048029 0.00028852982 0.00049937854 0.0008711381 8.877841e-05 9.432706e-05 0.00021084872 0.0006602894 0.00019975142 0.0006658381 0.0017367277 0.020380193 0.0003828569 0.00077126245 0.0010819868 0.0012484464 0.00047718396 0.0011374734 0.0027854226 0.0009876598 0.00090443005 0.0006935813 0.0006713867 0.0009377219 0.0004272461 0.0004494407 0.00075461646 0.0106756035 0.0002607866 0.0003606623 0.0013594194 0.00024414062 0.00021639737 0.0015092329 0.00013871626 0.00025523792 0.0016146573 8.877841e-05 0.00028298117 0.0017034357 0.00015536221 0.0003939542 0.0034679065 0.016912287 0.0022638494 0.000682484 0.0022361062 0.0076959785 0.0009321733 0.00250799 0.0025967686 0.0030739524 0.0011985085 0.00074351917 0.00067693536 0.001492587 0.000588157 0.0006159002 0.0012373491 0.033158734 0.0035511365 0.0025024414 0.0023581765 0.014210094 0.0077070757 0.0020308062 0.0041060015 0.015652744 0.0013039329 0.0011041815 0.0013982599 0.0073242188 0.0014038086 0.005637429 0.010187322 0.01525324 0.0013871626 0.0022804954 0.003512296 0.012145996 0.006397594 0.0016424005 0.0033291904 0.007990057 0.00068803265 0.0008988814 0.0018865411 0.005520907 0.0021362305 0.006686124 0.007790305 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.03285911 0.031849254 0.03288685 0.03601629 0.039434258 0.03388561 0.032259855 0.03457919 0.033336293 0.032176625 0.033108797 0.03495095 0.03404652 0.03387451 0.03473455 0.03545588 402.0 7.114428 2860.0 0.008041958 0.0038461538 0.0108391605 0.005944056 0.005594406 0.0024475525 0.005244755 0.01923077 0.004895105 0.002797203 0.0066433568 0.005244755 0.005244755 0.0073426575 0.00944056 0.0108391605 0.006993007 0.0066433568 0.02132867 0.0066433568 0.011888112 0.004895105 0.006293706 0.004895105 0.00979021 0.0041958042 0.021678321 0.005244755 0.005944056 0.005244755 0.0066433568 0.0073426575 0.008741259 0.011188812 0.0076923077 0.01013986 0.0041958042 0.0108391605 0.0083916085 0.008041958 0.008041958 0.00979021 0.00944056 0.046853147 0.014685315 0.01048951 0.03846154 0.008741259 0.0066433568 0.0045454544 0.005594406 0.008741259 0.006293706 0.00979021 0.006293706 0.005944056 0.005944056 0.005244755 0.005944056 0.0073426575 0.0083916085 0.0073426575 0.005244755 0.017832167 0.004895105 0.018531468 0.005244755 0.0132867135 0.0132867135 0.023776224 0.0076923077 0.0073426575 0.008041958 0.012937063 0.005244755 0.005244755 0.013636364 0.0132867135 0.0132867135 0.01993007 0.015734266 0.0076923077 0.018531468 0.011888112 0.02027972 0.008741259 0.005594406 0.09195804 0.0076923077 0.012237762 0.0038461538 0.003146853 0.011188812 0.005244755 0.0041958042 0.0041958042 6.1675243 0.0 0.0 0.0 1.0 91342.0 45056.0 0.0 0.0 30.0 0.0 1.0 1.0 0.0 472.0 1435239000.0 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 6.0 0.0 0.0 4.0 0.0 16384.0 4096.0 16715776.0 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 8192.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -13568.0 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 8193.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.166254 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.7448874 0.0 0.0 0.0 0.0 -5.3096614 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4.0916805 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4853.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -13966.0 0.0 0.0 0.0 0.0 -4097.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5968.0 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 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 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 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 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 -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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 1.0 -1.0 0.0 0.0 2.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 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 1.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 1.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 -1.0 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 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 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 0.0 0.0 0.0 0.0 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 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 -1.0 -1.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 1.0 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 -1.0 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 -2.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 -1.0 -1.0 1.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 -1.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 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 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 -1.0 -1.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 -1.0 0.0 1.0 0.0 -1.0 0.0 -2.0 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 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 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 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 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 0.0 0.0 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 1.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 -1.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 1.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 1.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 65280.0 256.0 16777336.0 23668.0 5889.0 36864.0 0.0 0.0 1.0 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 1048.0 20480.0 0.0 0.0 0.0 0.0