Input: 0.17729604 0.012070802 0.00521387 0.005596836 0.007456757 0.003584651 0.0029428375 0.002456056 0.009722253 0.0013731396 0.0014811083 0.0016573648 0.0064532026 0.0017860966 0.0013786765 0.0058842907 0.0060743894 0.0014248169 0.001127211 0.0010972198 0.0027795003 0.0042846017 0.0014778784 0.0013892888 0.002474512 0.0015350926 0.0010916829 0.001716886 0.003907173 0.0023522398 0.0022576519 0.0025312647 0.005848301 0.0017381106 0.0018548459 0.0017427246 0.0039048658 0.0019651216 0.0016121471 0.0016070717 0.003921476 0.001513868 0.002262266 0.0028062619 0.0013611431 0.0009569528 0.0008074578 0.000499701 0.002433447 0.0005730643 0.0006515031 0.006076235 0.0014086678 0.0009809459 0.00083791045 0.00062658725 0.0012813201 0.0025331103 0.0006279714 0.003926552 0.0013329975 0.0012019585 0.000622896 0.0009744862 0.006111302 0.004252765 0.0021238446 0.0029520656 0.0021912097 0.014278621 0.0027891898 0.0028205654 0.0022705712 0.0021519903 0.0023863837 0.0017597965 0.0018137809 0.008111952 0.0024431364 0.0022821063 0.011905619 0.0035039054 0.0024671296 0.0045900512 0.003119094 0.0052623176 0.007538887 0.0101278275 0.0031250922 0.004396723 0.0030900256 0.0034965228 0.0048881187 0.006000565 0.0040335977 0.0032971962 0.0018543844 0.002380847 0.0013519151 0.0012891641 0.0019402057 0.002881932 0.0015443207 0.0008609807 0.004416563 0.0014686503 0.0065648626 0.00062658725 0.0017288824 0.0013126957 0.001390673 0.0015978436 0.0026535369 0.00076547 0.0018216247 0.0021658326 0.010531095 0.014214025 0.002114155 0.0020610937 0.0034388474 0.0011918077 0.0005195414 0.0006141293 0.0012407165 0.0037060005 0.0014543468 0.0009255773 0.0021506061 0.0016061489 0.00063719956 0.010178582 0.0029737516 0.010793634 0.0017413404 0.0013717554 0.0019475882 0.014439652 0.00083837187 0.04038027 0.0011622778 0.015051013 0.0016961227 0.001076918 0.0033276489 0.00047201675 0.0011050636 0.0008969702 0.0012305656 0.00078346475 0.0005015466 0.00039265517 0.0010852233 0.0008577509 0.0004987782 0.0005693731 0.0013385343 0.00071194704 0.0008739 0.00092188607 0.0014132818 0.0015212505 0.0006801101 0.0010649215 0.0016656701 0.0048050657 0.0016481366 0.0012254902 0.0021450692 0.0016550578 0.0015623154 0.0016859719 0.0021875184 0.0017948633 0.0013772922 0.0017616422 0.0030526519 0.0019212881 0.0017030438 0.0019212881 0.0024777418 0.0012153393 0.00128455 0.0012739376 0.0029165375 0.0007082558 0.00047063254 0.0009251159 0.0012993149 0.00071286986 0.0012199533 0.0006404294 0.009414496 0.0023937663 0.003570809 0.0030807974 0.0019032933 0.000934344 0.0027559688 0.0025792508 0.0037682902 0.0023019467 0.0007428611 0.0019522022 0.0041900137 0.0007737753 0.002988055 0.0022175098 0.002124306 0.0008655947 0.0010829163 0.0009938652 0.002177829 0.00055368536 0.0008314508 0.0006648838 0.002882855 0.0012462534 0.00065011886 0.0022844134 0.002284875 0.0014958732 0.0005938275 0.00064781186 0.0029289953 0.0006279714 0.0004775536 0.00042956753 0.0023785399 0.0014368134 0.001074611 0.00051446597 0.022370733 0.0035232843 0.0007170225 0.004384265 0.0071411566 0.00059936434 0.0011498198 0.0011775041 0.0055151675 0.0022438099 0.0012462534 0.0015609312 0.0028339461 0.0009541844 0.0033534875 0.002168601 0.004333049 0.0020218743 0.0016250664 0.0022696485 0.006987509 0.0025894018 0.004255533 0.09403515 0.00046542555 0.0 0.0 0.0 0.0 0.0 0.0 0.0 3.2321218e-06 0.0 0.0 0.0 2.3086584e-06 0.0 1.8469267e-06 0.0 0.00089991506 2.3086584e-06 0.0 2.3086584e-06 0.0 0.0 0.0 1.8469267e-06 4.155585e-06 0.0 0.0 0.0 3.2321218e-06 0.0 3.2321218e-06 2.8627364e-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 0.0007983341 3.6938534e-06 0.0 3.6938534e-06 0.0 0.0 0.0 3.2321218e-06 3.6938534e-06 0.0 0.0 0.0 3.2321218e-06 0.0 2.77039e-06 0.00012697621 0.0017647385 5.4022606e-05 1.0158097e-05 4.0170657e-05 2.0316194e-05 7.849439e-06 4.6173167e-07 2.77039e-06 3.1397754e-05 2.9089097e-05 9.234634e-06 9.2346335e-07 6.002512e-06 1.8469267e-06 5.54078e-06 0.00037954343 0.0028278755 0.00010573655 9.119201e-05 2.8396498e-05 8.126478e-05 5.656213e-05 0.00011681811 6.325724e-05 2.8627364e-05 7.0414084e-05 4.6865764e-05 6.002512e-06 1.2697621e-05 6.2333775e-06 1.0388962e-05 0.00023017325 0.0043252716 0.00019300384 0.00017591978 6.4180706e-05 0.00043171912 0.0003878546 0.00017753583 8.795989e-05 2.9781693e-05 0.00015860483 0.0001013501 8.542036e-06 3.4860743e-05 1.500628e-05 1.3390219e-05 0.00041440417 0.021252586 0.0007258422 0.0010234283 0.00025695367 0.0006376514 0.00223178 0.00071222114 0.00051182957 0.00022024602 0.000647117 0.0005372248 0.00024494866 0.00021955342 0.00027934767 0.00020570146 0.0029176825 0.013300873 0.00086805556 0.0013180131 0.00022971151 0.001376653 0.002953005 0.0010070368 0.0005926326 0.00037215574 0.0004134807 0.0017478853 0.0003432975 0.0002601858 0.0002216312 0.00027934767 0.004976082 0.013097943 0.0058716107 0.004745909 0.00037931258 0.004388298 0.008224364 0.0026727337 0.0013378676 0.00030912936 0.00071545324 0.0076342714 0.0021738329 0.00023202017 0.00021470523 0.00027057476 0.017708333 0.0156203825 0.0024531805 0.005813202 0.0006879802 0.0038764684 0.0064019095 0.0042375424 0.001488392 0.0008403516 0.00050836656 0.0031155345 0.0040510027 0.00031120714 0.00044857233 0.00083619606 0.013139498 0.012030419 0.0014870069 0.0013004673 0.0008274232 0.0045632944 0.0017926733 0.0015232528 0.0007888686 0.00048689605 0.00043333517 0.0008174959 0.00091192004 0.00046057734 0.0011360908 0.00082349847 0.0022952682 0.01692362 0.0025930852 0.0018173759 0.0017469618 0.00841783 0.003083675 0.002543449 0.0017684323 0.0046528704 0.0010649841 0.0014290595 0.0017148715 0.0020833334 0.0022354738 0.002832493 0.007976646 0.07463039 0.010155096 0.0070628785 0.009558077 0.016638732 0.026779976 0.009394854 0.01855538 0.04922683 0.0053992593 0.005126145 0.0070552602 0.019441212 0.006863872 0.021534242 0.044492695 0.06522329 0.012340241 0.00987898 0.011088486 0.01952848 0.02820234 0.010116541 0.023088662 0.049860094 0.0056054224 0.0070741912 0.0067061908 0.021332927 0.0094678085 0.022899583 0.041794796 0.0029479258 0.0006678949 0.001158023 0.0011864195 0.00080549094 0.0007514683 0.0007131446 0.0011520205 0.0020450095 0.0005141382 0.00054415077 0.000523142 0.0011799553 0.00049659243 0.0012418274 0.0015668864 3903.0 13.020241 50818.0 0.012908812 0.00061002007 0.00084615685 0.0007280885 0.0045259553 0.0025187926 0.000590342 0.0016726357 0.0045062774 0.0006887323 0.0007280885 0.001771026 0.0015152112 0.0010626157 0.011059074 0.00057066395 0.00712346 0.0019087725 0.0039552916 0.0022432995 0.0012593963 0.00086583494 0.000590342 0.0031288126 0.001456177 0.0051359753 0.0015939234 0.0042898185 0.0019087725 0.0009445472 0.0007280885 0.010468732 0.025502775 0.02627022 0.018379314 0.03551891 0.013499154 0.01649022 0.018871266 0.008540281 0.0051162974 0.016962493 0.00092486915 0.0022039434 0.010035814 0.016568933 0.010153882 0.014364989 0.024558228 0.005588571 0.014010783 0.018359637 0.019264827 0.007398953 0.017848007 0.011236176 0.004978551 0.0023220119 0.0017907041 0.0019481286 0.005234366 0.0027155732 0.0034239837 0.021567162 0.0016923137 0.03703412 0.009248692 0.018477704 0.019205794 0.0604707 0.0057263174 0.009957102 0.012397182 0.031229092 0.0054901806 0.004742414 0.027509937 0.0119249085 0.030619072 0.042071708 0.012967846 0.0007280885 0.03766382 0.022314928 0.05393758 0.017178953 0.0043488527 0.0048211263 0.010094848 0.007103782 0.0015348892 0.0006493762 0.00057066395 0.0007674446 0.001180684 0.0007871227 5.782943 1.0 0.0 0.0 27.0 2167296.0 2277376.0 1.0 0.0 590.0 0.0 1.0 0.0 1.0 0.0 1479634300.0 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 0.0 6.0 0.0 6.0 0.0 1529856.0 1024.0 4096.0 6.0 0.0 0.0 1.0 2.0 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 323072.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -22016.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1530880.0 0.0 289792.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -0.50325835 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.215103 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.676938 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -10.658182 0.0 4.8682275 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -9.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 322686.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -114868.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1530560.0 0.0 289440.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -3.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 -1.0 0.0 0.0 -1.0 0.0 -1.0 0.0 1.0 1.0 1.0 -1.0 0.0 1.0 0.0 1.0 -1.0 0.0 0.0 1.0 1.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 1.0 -1.0 -1.0 0.0 -1.0 0.0 2.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 -1.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 2.0 0.0 0.0 1.0 1.0 0.0 0.0 1.0 0.0 -1.0 -1.0 -1.0 -2.0 0.0 0.0 2.0 0.0 0.0 0.0 -1.0 1.0 0.0 1.0 0.0 1.0 0.0 -1.0 1.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 -1.0 -1.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 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 2.0 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 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 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 -2.0 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 1.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 -1.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 1.0 1.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 1.0 0.0 0.0 0.0 -1.0 1.0 0.0 -1.0 0.0 1.0 1.0 1.0 0.0 1.0 -2.0 0.0 0.0 -2.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 2.0 0.0 -1.0 1.0 0.0 0.0 -2.0 1.0 -1.0 -1.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 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 -1.0 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 -1.0 -1.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 -2.0 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 -1.0 0.0 1.0 -1.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 1.0 1.0 -1.0 -1.0 0.0 1.0 -1.0 -1.0 -1.0 1.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 2.0 -2.0 -1.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 -1.0 0.0 1.0 1.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 1.0 -3.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 1.0 0.0 -1.0 0.0 -1.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 2.0 0.0 -1.0 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 -2.0 0.0 0.0 2.0 0.0 -1.0 0.0 1.0 1.0 -2.0 1.0 -1.0 0.0 1.0 0.0 0.0 0.0 -1.0 1.0 -1.0 -1.0 0.0 0.0 -2.0 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 -1.0 0.0 2.0 -1.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 -1.0 -1.0 -1.0 -1.0 -1.0 0.0 0.0 2.0 -1.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 1.0 1.0 2.0 1.0 1.0 0.0 0.0 1.0 1.0 2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 -1.0 1.0 0.0 1.0 2.0 1.0 -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 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 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 1.0 0.0 1.0 0.0 -1.0 -1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -3.0 -1.0 1.0 0.0 0.0 2.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 -1.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 -1.0 1.0 0.0 0.0 -1.0 1.0 1.0 -1.0 -1.0 0.0 0.0 0.0 0.0 -1.0 2.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 -1.0 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 0.0 1.0 -2.0 0.0 0.0 -1.0 -1.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 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 -1.0 0.0 0.0 1.0 -2.0 0.0 0.0 1.0 1.0 -1.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 -1.0 1.0 1.0 1.0 -1.0 0.0 1.0 0.0 0.0 -1.0 -2.0 -2.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 -1.0 1.0 0.0 -1.0 1.0 0.0 -2.0 -2.0 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 -1.0 1.0 -1.0 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 -1.0 1.0 1.0 0.0 0.0 -2.0 1.0 0.0 0.0 0.0 1.0 0.0 -1.0 1.0 1.0 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 0.0 0.0 -1.0 0.0 1.0 -1.0 0.0 -1.0 0.0 -1.0 0.0 -2.0 0.0 -1.0 0.0 0.0 0.0 1.0 1.0 0.0 -1.0 -1.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 3.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 1.0 1.0 0.0 0.0 1.0 -2.0 0.0 0.0 1.0 1.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -3.0 -2.0 1.0 0.0 1.0 -1.0 -1.0 0.0 -1.0 1.0 1.0 0.0 -2.0 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 0.0 2.0 -1.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 -3.0 -1.0 -1.0 -1.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 320.0 1845568.0 289440.0 1986560.0 0.0 0.0 0.0 0.0 0.0 0.0 84.0 1746592.0 0.0 0.0 0.0 0.0 24.0 1746772.0 64.0 1746680.0 0.0 0.0 2420.0 1536000.0 0.0 0.0 0.0 0.0


Input: 0.0093148835 0.0041035414 0.003915243 0.004093786 0.003988332 0.0038658455 0.003927321 0.004026735 0.0040668417 0.0037704576 0.0037675153 0.003855161 0.003992358 0.003935219 0.00377309 0.0045818747 0.003921437 0.0037882654 0.0037679798 0.0037218344 0.0038294557 0.0038525283 0.0037252412 0.0038577933 0.0037830004 0.0038108735 0.0038379724 0.0038545413 0.0039226757 0.003784549 0.003898364 0.004103851 0.0039733117 0.003668256 0.0037538884 0.0038314688 0.0038443212 0.0037244668 0.0037012394 0.0037693735 0.0038121124 0.0038407596 0.0037786646 0.0038505152 0.0037416553 0.0038017374 0.0037309707 0.0038505152 0.0037987952 0.003826978 0.0037859427 0.0040400526 0.003847728 0.003806228 0.0038299202 0.0037453717 0.0039090486 0.003855935 0.0038162933 0.003896351 0.0039507034 0.003772161 0.0039886422 0.0040358715 0.0038127317 0.003894183 0.0040293676 0.0038670844 0.0039434256 0.0041769403 0.003913849 0.0038231066 0.0038423082 0.003726635 0.0037791291 0.0037912074 0.0038127317 0.0039081196 0.0037732448 0.0038035954 0.00407381 0.0038855115 0.00384045 0.00391834 0.003870336 0.0038201646 0.0039363024 0.0039418773 0.0037884202 0.0038669293 0.0037610116 0.0038365787 0.0038356497 0.0038975899 0.0039011515 0.0039488454 0.0037215247 0.0038918604 0.0037619406 0.00393878 0.0038209388 0.0040392783 0.004052131 0.0038148996 0.0038966609 0.0038655358 0.004001185 0.003861355 0.0038975899 0.0037655022 0.003849741 0.004034633 0.003916791 0.0037535788 0.003998243 0.0038353398 0.0042848713 0.0042108526 0.0037950787 0.0037984855 0.0038949575 0.0038523735 0.003832243 0.0037760322 0.0039900355 0.0040702485 0.003922366 0.0040337034 0.0037978662 0.0038909314 0.0037727803 0.004422843 0.0038762204 0.0041239816 0.0038341011 0.003904868 0.0038272876 0.0042117815 0.0038481925 0.0047986656 0.003823881 0.0042371773 0.003822797 0.0039428063 0.0037599276 0.0037870265 0.0037165694 0.0037871813 0.0038164482 0.0038065377 0.003837198 0.0038054537 0.0037576049 0.0037140918 0.003721215 0.0037577597 0.003841534 0.003737784 0.0037958531 0.0038523735 0.0038150544 0.0038579481 0.0038296105 0.003826049 0.0037670508 0.0038212484 0.0037912074 0.003770148 0.0037902785 0.0037427393 0.00372137 0.0037401067 0.0037724706 0.00375234 0.0037605471 0.0038602708 0.0038297654 0.0037415004 0.003760702 0.0037487785 0.0037422746 0.0037428942 0.0038255844 0.0038118027 0.0038271328 0.0037707672 0.0037187375 0.0037642636 0.0038429275 0.003797711 0.003913849 0.00395442 0.004084804 0.003937232 0.0038802465 0.004060028 0.0038045247 0.0038323977 0.0039567426 0.003990965 0.0038441664 0.0038687875 0.0037978662 0.0038495862 0.0037723158 0.003735616 0.0038412241 0.0039349087 0.0038799369 0.0038700264 0.0038142803 0.0038131962 0.0037692187 0.0037447524 0.0038114928 0.0038017374 0.0039053324 0.003854851 0.003758534 0.0038618194 0.0037444427 0.0037591534 0.0038217132 0.0038896925 0.003955659 0.003894338 0.0037944594 0.0039071906 0.003867549 0.0038514445 0.003808396 0.0038427727 0.004425321 0.0038982092 0.0038108735 0.0040183733 0.003952252 0.003743978 0.0038241907 0.003997933 0.004009702 0.0038946476 0.0039733117 0.003918804 0.0039599948 0.003831004 0.0039280956 0.0039983974 0.004145351 0.003987558 0.0039000674 0.004027045 0.0041580484 0.0040296772 0.0042034197 0.0058908267 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00013746221 5.3436015e-06 4.336836e-06 7.7443495e-08 3.407514e-06 8.518785e-07 2.4781918e-06 1.084209e-06 0.0 1.5488699e-07 1.5488699e-07 2.013531e-06 1.5488699e-07 2.3233049e-07 4.6466099e-07 3.8721748e-07 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00012847876 3.7172879e-06 1.8586439e-06 2.0909745e-06 6.5052536e-06 1.703757e-06 3.0202964e-06 2.013531e-06 1.1616524e-06 6.1954796e-07 2.6330788e-06 1.8586439e-06 7.7443497e-07 5.421045e-07 6.969915e-07 9.2932197e-07 0.00010098632 6.1954796e-07 8.673672e-06 3.3300703e-06 1.0067655e-06 5.421045e-07 2.811199e-05 1.5333813e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0005007497 1.3010507e-05 3.120973e-05 7.2022453e-06 2.9505973e-05 9.52555e-06 8.572995e-05 4.4220236e-05 4.2593924e-06 8.209011e-06 3.6398444e-06 4.87894e-06 8.1315675e-06 8.518785e-06 3.407514e-06 3.0822514e-05 0.00061536604 1.3630056e-05 6.722096e-05 5.0648046e-05 5.2816464e-05 2.4781919e-05 0.00018508996 8.572995e-05 1.8663883e-05 1.8508996e-05 7.9766805e-06 6.582697e-06 1.6495465e-05 1.3087951e-05 1.6263135e-05 7.597207e-05 0.00085342734 5.668864e-05 0.0001041615 0.00010656225 0.00014729753 8.882769e-05 0.0004387174 0.00024332746 2.0987187e-05 1.1771412e-05 1.48691515e-05 1.8044335e-05 1.48691515e-05 1.3784943e-05 4.7550307e-05 3.9573628e-05 0.00062218105 4.584655e-05 0.00010632992 7.4965305e-05 7.945703e-05 5.1267594e-05 0.00026687028 0.0001768035 4.5149558e-05 9.138333e-06 7.2022453e-06 2.2071397e-05 1.8973657e-05 8.596228e-06 9.52555e-06 4.16646e-05 0.00040177687 3.074507e-05 2.966086e-05 2.787966e-05 4.6001438e-05 2.989319e-05 9.8353245e-05 8.015402e-05 3.2448825e-05 1.0996977e-05 9.215776e-06 1.0687203e-05 1.9980422e-05 1.285562e-05 4.64661e-05 6.451043e-05 0.00033587244 3.3145818e-05 4.5304445e-05 2.2303728e-05 5.1887142e-05 4.3136028e-05 0.00017509975 7.3029216e-05 0.0001071818 2.2845832e-05 1.4249604e-05 2.1374406e-05 5.297135e-05 4.8169855e-05 5.7153302e-05 0.00016510954 0.0029990769 0.00044684898 0.00032665668 0.00042849488 0.0008682965 0.0007748222 0.0003569371 0.0006913381 0.0019972678 0.00017153735 0.00013722987 0.00027964846 0.0007361004 0.00027670563 0.0007525959 0.0014447859 0.0025655483 0.0005458992 0.0003329296 0.00050679024 0.00088301074 0.00097021216 0.0004915339 0.0007876778 0.0016420345 0.00015302835 0.00024789665 0.00025935826 0.0008356153 0.00029916424 0.0007572425 0.0015690053 0.0596658 0.060267538 0.059620574 0.060680155 0.059731472 0.06013271 0.060082678 0.060764413 0.06027466 0.060092438 0.060179252 0.06016802 0.060489643 0.060420565 0.06090513 0.062425036 30041.0 5.9132185 177639.0 0.014467544 0.009367312 0.010932284 0.009648782 0.009873958 0.009812035 0.009997805 0.010161057 0.00985707 0.009778258 0.009631894 0.0094967885 0.009327906 0.0099133635 0.009992175 0.009660041 0.010611408 0.010070987 0.010268016 0.009812035 0.0103749735 0.009716335 0.010110392 0.009828922 0.010493191 0.010262386 0.009716335 0.009800776 0.010335568 0.010009063 0.010493191 0.010172316 0.009434865 0.009935881 0.009620635 0.010110392 0.009615006 0.009699447 0.009997805 0.009519306 0.01013854 0.009992175 0.009750111 0.009474271 0.0097275935 0.0100991335 0.009800776 0.009812035 0.01060015 0.009648782 0.010065357 0.011106796 0.010763402 0.009457382 0.010217351 0.01022861 0.00958123 0.00995277 0.009446124 0.009553082 0.0100991335 0.010121651 0.009907735 0.009767 0.009536195 0.013741352 0.010386233 0.011934316 0.011832987 0.015565275 0.011140572 0.009767 0.010459415 0.012846278 0.009885217 0.009817664 0.011838617 0.010904137 0.011996239 0.0139777865 0.011405153 0.009637523 0.014180444 0.0121763805 0.01422548 0.010847843 0.010256757 0.0099133635 0.01003721 0.010532597 0.00985707 0.0093110185 0.0106508145 0.009603747 0.010110392 0.010386233 6.5758176 0.0 1.0 0.0 86.0 6457837.0 417792.0 1.0 0.0 207.0 0.0 1.0 0.0 0.0 0.0 1395132000.0 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 9.0 0.0 5.0 0.0 5.0 0.0 166912.0 1024.0 4096.0 4.0 0.0 0.0 2.0 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 20480.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5632.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -166912.0 0.0 83456.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.3877025 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3.4839725 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.730577 0.0 7.618204 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 20307.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -137500.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -166547.0 0.0 86016.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 -1.0 -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 1.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 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 2.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 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 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 -1.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 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 -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 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 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 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 1.0 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 1.0 1.0 -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 0.0 -1.0 0.0 0.0 1.0 1.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -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 0.0 0.0 0.0 0.0 -1.0 -1.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 2.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 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 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -2.0 0.0 -1.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 51.0 192288.0 220.0 187316.0 17480.0 331776.0 0.0 0.0 0.0 0.0 0.0 0.0 28.0 173008.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 183264.0 0.0 0.0 868.0 172032.0 0.0 0.0 0.0 0.0


Input: 0.13484938 0.0110315485 0.0049117557 0.005876991 0.0059914263 0.005086891 0.0045186956 0.005704841 0.004758512 0.0058610695 0.006168552 0.0047515463 0.0054500983 0.0061994 0.0035683864 0.0065476806 0.007491024 0.003981348 0.0025464308 0.002660866 0.003168361 0.0027882373 0.002739478 0.00479334 0.0043953047 0.0037067037 0.003915672 0.0030250682 0.0039375643 0.0045525287 0.002808139 0.0036808315 0.0062183063 0.0049217064 0.0025762834 0.0025772785 0.0033663835 0.0024956814 0.0026339986 0.0023533837 0.0025633473 0.002975314 0.002312585 0.0029404857 0.0025315045 0.0040609553 0.003405192 0.002873815 0.0037355612 0.0030320338 0.002525534 0.0028350065 0.0027006695 0.0024439367 0.002504637 0.0024200545 0.002468814 0.0028389867 0.002547426 0.003258914 0.0026917136 0.0026757922 0.002561357 0.002975314 0.00287481 0.0029713335 0.0028200801 0.0028200801 0.0033852903 0.0028280409 0.0028568984 0.0025096126 0.0024777697 0.0025663327 0.0037664091 0.0025961853 0.0028121194 0.002739478 0.002502647 0.002548421 0.0029832746 0.0024329908 0.0028509279 0.0030091468 0.0028847607 0.0030031763 0.0026668366 0.0028628688 0.0025892197 0.0028837658 0.0034410153 0.0029733237 0.0028887412 0.0028021685 0.0025663327 0.0027683354 0.0024857305 0.003281801 0.002751419 0.0037365563 0.0030698471 0.005108783 0.0035564455 0.0027792815 0.003317624 0.0037853157 0.0025524013 0.0034708679 0.003620131 0.0029026724 0.0038420358 0.0040440387 0.0035892832 0.0027494289 0.0037703894 0.0044699362 0.0043286337 0.0034569365 0.002606136 0.0032300565 0.0030589013 0.0032618993 0.0028200801 0.0034171331 0.003053926 0.002707635 0.0027364928 0.0032957322 0.0037743696 0.0031395033 0.0024737893 0.0032897617 0.004827173 0.003191248 0.0025862344 0.0027086302 0.0031783117 0.00372163 0.003010142 0.0052729724 0.0032410023 0.003993289 0.0027703256 0.0032429926 0.0028389867 0.0026349938 0.0027902275 0.0028399818 0.0038370602 0.0026280282 0.0024558778 0.0027225614 0.0027126106 0.0030290487 0.0024668237 0.0027026597 0.0038161634 0.0023523886 0.0024757795 0.0025872295 0.0023712954 0.0027026597 0.0025324996 0.0025265291 0.0025563817 0.0034798237 0.0024747844 0.0024310006 0.0026509152 0.0024777697 0.0029335201 0.0024887158 0.0026558905 0.0031763217 0.0024120938 0.0027553993 0.0028270457 0.0025116028 0.0023762707 0.0039166673 0.0027713208 0.003687797 0.0027225614 0.0025414554 0.0026081263 0.0023822412 0.002480755 0.0025643425 0.0025096126 0.003043975 0.002617082 0.002705645 0.0033196143 0.0029633727 0.0028479425 0.0028459523 0.0031783117 0.0028559032 0.0039375643 0.0029136185 0.002863864 0.0029235692 0.0026121067 0.0027981882 0.0036111753 0.0028001782 0.004047024 0.0028350065 0.0028131146 0.0026976843 0.0027235565 0.002753409 0.0025872295 0.0024678188 0.0038957705 0.002808139 0.002989245 0.0035843079 0.002952427 0.0028350065 0.002695694 0.0036380426 0.0044818777 0.0030598964 0.002922574 0.0030489503 0.0029076478 0.0025981753 0.0028250555 0.0031494542 0.0037156595 0.0044948137 0.0030549208 0.00287481 0.0032091595 0.0029136185 0.002920584 0.0028360016 0.003767404 0.0039823432 0.003460917 0.0028360016 0.0032400072 0.0034629072 0.0029842698 0.0043286337 0.0030151175 0.004716718 0.00315841 0.0032857815 0.0029464562 0.0029593925 0.004024137 0.004047024 0.0032648845 0.038478073 0.0132583305 4.9824615e-07 0.0 0.0 4.9824615e-07 0.0 0.0 0.0 1.4947385e-06 9.964923e-07 0.0 0.0 2.989477e-06 0.0 4.9824615e-07 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0009581274 5.978954e-06 2.4912308e-06 4.4842154e-06 3.4877232e-06 3.985969e-06 2.4912308e-06 1.4947385e-06 2.989477e-06 2.4912308e-06 5.978954e-06 5.480708e-06 4.4842154e-06 4.4842154e-06 8.470185e-06 3.4877232e-06 0.0035883689 9.964924e-05 4.7831632e-05 2.2421078e-05 3.5873723e-05 2.7901786e-05 2.8400033e-05 4.0856186e-05 8.171237e-05 1.1459662e-05 1.5445632e-05 1.2456155e-05 1.4449139e-05 1.1957908e-05 2.1424585e-05 2.1424585e-05 0.004883809 0.0005983937 0.0002600845 1.5943877e-05 3.2884247e-05 2.4414063e-05 1.7438617e-05 2.2421078e-05 8.719308e-05 1.6442124e-05 2.1424585e-05 1.5445632e-05 3.3382494e-05 2.1922831e-05 3.138951e-05 3.9859693e-05 0.0066092354 0.0010836854 0.0007060148 8.719308e-05 7.274394e-05 5.2814095e-05 0.0001444914 8.7691325e-05 0.00012904576 2.8400033e-05 3.2884247e-05 2.740354e-05 3.1887754e-05 3.138951e-05 3.138951e-05 2.740354e-05 0.010321667 0.0022072305 0.0015699737 0.00086794485 0.00016790896 7.22457e-05 0.00049276545 0.00022919325 6.676499e-05 4.3347416e-05 7.025271e-05 3.9361446e-05 3.8364957e-05 3.7368463e-05 5.430883e-05 4.7831632e-05 0.027973035 0.002592873 0.0033691407 0.0007423868 0.0008265904 0.000748864 0.0058598733 0.0030163822 0.0005092076 0.00023018973 0.00014598612 0.00010861766 0.00015047034 0.00015694754 0.0001684072 0.0013602121 0.023510743 0.00084203604 0.0013098891 0.00034927056 0.0010029696 0.0011748645 0.003930166 0.0022092236 0.001337791 0.0004758251 0.00020428094 0.00018484933 0.00019282127 0.00015495456 0.00015694754 0.0017388791 0.013893595 0.004549984 0.0016068439 0.00082708866 0.0006267937 0.0006287867 0.00091876596 0.0008963449 0.00095264666 0.00091129227 0.00041503907 0.0006347656 0.0005934112 0.00068010605 0.0009357063 0.0056227082 0.016907984 0.003600825 0.0011021205 0.0008933554 0.0006606744 0.00080117985 0.0011399873 0.0011579241 0.0015086894 0.0013881138 0.0010328643 0.0010039661 0.0011320153 0.0013891103 0.0018340441 0.007304289 0.03138951 0.004396026 0.0018758968 0.0014369419 0.0013811383 0.002272501 0.002091139 0.0031464247 0.0028992945 0.0028723893 0.0020557637 0.002475287 0.0028230627 0.0033711337 0.004076152 0.013069994 0.01725277 0.0018644371 0.0011589206 0.0009157765 0.0014219945 0.00169603 0.001863939 0.0023447466 0.0025310905 0.0021135602 0.0022356305 0.002058255 0.003323302 0.0037134287 0.003882334 0.012848274 0.010991311 0.0020408162 0.0018016582 0.0014274752 0.0023078762 0.0020054409 0.0015445631 0.002339764 0.005167311 0.0017114757 0.0013801419 0.001825574 0.0032475686 0.0028335259 0.0033771126 0.008039202 0.0063645965 0.0020398197 0.00215342 0.0020577568 0.0023337852 0.001892339 0.002100606 0.0018325495 0.004655114 0.001273019 0.0010194117 0.0014643455 0.0030995894 0.0021295042 0.0017936862 0.0035863759 0.03311145 0.0342893 0.033825934 0.034532446 0.03421307 0.034203105 0.03412787 0.035219528 0.034511022 0.03384636 0.034015268 0.034441765 0.034709822 0.034491092 0.03489467 0.03658771 4630.0 9.008207 41708.0 0.042725615 0.05998849 0.0071928645 0.0046034334 0.0066414117 0.00532272 0.0049391002 0.0042198137 0.0047472906 0.005634411 0.004891148 0.009542534 0.0053706723 0.038505804 0.027764458 0.010429653 0.030042198 0.005922125 0.006785269 0.0058262204 0.010477606 0.005682363 0.005994054 0.006089959 0.0051309103 0.007001055 0.0049391002 0.0182459 0.0066174357 0.0093747005 0.0058262204 0.012563537 0.0054186247 0.0063776732 0.0063536973 0.005706339 0.0151289925 0.008535533 0.00620984 0.0061858636 0.0052987435 0.005802244 0.027884338 0.004579457 0.005922125 0.0055864584 0.0043876474 0.0046034334 0.005922125 0.0042917426 0.005802244 0.010165916 0.0103337485 0.012875228 0.0062817684 0.006473578 0.0070969597 0.011268822 0.01666347 0.013522586 0.011604488 0.01064544 0.0049630767 0.00848758 0.0075045554 0.009542534 0.007672389 0.011077012 0.010189892 0.02172245 0.013930181 0.007768294 0.0098542245 0.012971133 0.0064256256 0.01203606 0.014457658 0.007456603 0.013474633 0.01134075 0.018269876 0.006161887 0.012275822 0.014865254 0.012539561 0.011196893 0.0068811737 0.011892203 0.0075045554 0.014145968 0.0065934593 0.0056104343 0.007552508 0.008703366 0.00817589 0.010789297 6.269909 0.0 17.0 0.0 17.0 1004936.0 1998848.0 0.0 1.0 40.0 0.0 1.0 1.0 0.0 0.0 1208994400.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 6.0 0.0 4.0 0.0 4.0 0.0 40960.0 4096.0 4096.0 8.0 4.0 0.0 6.0 8.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 20480.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -12288.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -40960.0 0.0 921600.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 6.7776318 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -0.9761256 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.7336326 0.0 7.442906 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 88595.0 0.0 18037.0 0.0 51400.0 0.0 0.0 0.0 -47656.0 0.0 0.0 -805234.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -11584.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -39230.0 0.0 921600.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 -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 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 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 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 85.0 63008.0 60.0 62044.0 835724.0 1077248.0 0.0 0.0 5512.0 917504.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 168.0 45056.0 0.0 0.0 0.0 0.0


Input: 0.025876084 0.004651373 0.0041433345 0.0042788116 0.0041433345 0.00433526 0.0039739884 0.0041884934 0.0041884934 0.003951409 0.0040191473 0.0039739884 0.00347724 0.0036804553 0.0035901372 0.0041997833 0.003770773 0.003770773 0.003386922 0.003646586 0.0038949603 0.003601427 0.003341763 0.0035788475 0.0034207911 0.0035449783 0.003996568 0.0038046422 0.004075596 0.0034885297 0.0034207911 0.0033191836 0.0040981756 0.004064306 0.0034207911 0.0040530167 0.006604498 0.003996568 0.0038949603 0.004030437 0.003962699 0.0044481577 0.0035901372 0.0037143244 0.003962699 0.0037030347 0.0041546244 0.003386922 0.0041433345 0.0037030347 0.0038385116 0.004064306 0.004075596 0.0038723808 0.004425578 0.0036240064 0.0035111092 0.0043239705 0.00391754 0.0036240064 0.003556268 0.0036240064 0.003827222 0.0036578758 0.0039739884 0.0036804553 0.0037143244 0.00391754 0.00476427 0.003646586 0.00391754 0.0036352961 0.004470737 0.003815932 0.003251445 0.0038385116 0.004165914 0.003691745 0.0037594833 0.003770773 0.00390625 0.0034546603 0.004165914 0.003736904 0.00390625 0.0036352961 0.0037933525 0.0037820628 0.0039288295 0.00391754 0.0039852783 0.0035449783 0.0036127167 0.0036804553 0.0035336886 0.0037594833 0.003996568 0.0036240064 0.004301391 0.004120755 0.0040191473 0.0037594833 0.0040981756 0.0038949603 0.0035449783 0.0038723808 0.0039739884 0.0034659503 0.0039401194 0.003736904 0.00390625 0.0032627347 0.0034998194 0.004165914 0.004244942 0.0041546244 0.004165914 0.0036691655 0.0035901372 0.0039288295 0.003861091 0.003770773 0.003341763 0.0034207911 0.0038723808 0.004075596 0.0037820628 0.0037143244 0.0038836705 0.0038836705 0.003601427 0.00347724 0.003951409 0.0036240064 0.0033756322 0.003206286 0.004064306 0.0047416906 0.003951409 0.0048771678 0.0035901372 0.004290101 0.0035901372 0.003601427 0.0033756322 0.0041546244 0.0038498014 0.0034207911 0.0035788475 0.0035336886 0.0038498014 0.0034433706 0.0035675578 0.00391754 0.0036691655 0.003601427 0.003827222 0.0037256142 0.0037933525 0.0036578758 0.003736904 0.0037481936 0.0034320808 0.0036578758 0.004132045 0.0037030347 0.0035223989 0.0035111092 0.003601427 0.0034659503 0.0035901372 0.00390625 0.0037256142 0.003386922 0.0038498014 0.004120755 0.004064306 0.003646586 0.0037594833 0.0037594833 0.0036578758 0.003770773 0.0041546244 0.003861091 0.004132045 0.004064306 0.0033756322 0.0037030347 0.003691745 0.003996568 0.003646586 0.0035336886 0.0037030347 0.004685242 0.003815932 0.003815932 0.0034998194 0.0042562317 0.004030437 0.0040417267 0.003827222 0.0038046422 0.003815932 0.0036127167 0.0035901372 0.003736904 0.0031837067 0.00391754 0.0036691655 0.0037594833 0.0034885297 0.0036578758 0.0035901372 0.003736904 0.0038385116 0.0040191473 0.0037933525 0.004075596 0.0035223989 0.0034998194 0.003827222 0.0036804553 0.0036578758 0.0037594833 0.0036691655 0.0035223989 0.0035336886 0.0039401194 0.0035336886 0.003556268 0.0037933525 0.0039852783 0.0040417267 0.0038723808 0.004064306 0.0037143244 0.003996568 0.003861091 0.003827222 0.003736904 0.003827222 0.0037594833 0.003736904 0.003951409 0.0037820628 0.003770773 0.0038723808 0.0039288295 0.0036578758 0.0037481936 0.0035336886 0.0037143244 0.003815932 0.0037933525 0.0035788475 0.0046400833 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.009886259 0.0007123162 0.0016831342 0.000792739 0.0011776194 0.0008272059 0.0009248621 0.0011086856 0.0016084559 0.00044806986 0.00048828125 0.0005284927 0.0012120864 0.00050551473 0.00068359374 0.0009420956 0.0031192554 0.00024126838 0.0013844209 0.00033892464 0.0009420956 0.00031020222 0.00065487134 0.00050551473 0.0016199448 9.765625e-05 0.00010340074 0.00026999082 0.0010225184 0.00018956802 0.00049402576 0.0004710478 0.0025735295 0.00037913604 0.0010340074 0.00052274816 0.00091337314 0.00049402576 0.00071806065 0.0006261489 0.0012350644 0.00029871325 0.00026424634 0.00037913604 0.00085018383 0.00036764707 0.0005457261 0.0005629596 0.05986328 0.057462085 0.06155216 0.061046645 0.059576057 0.059375 0.0596335 0.059386488 0.0578642 0.059070542 0.059139475 0.06060432 0.05909352 0.059495635 0.059828814 0.05994945 426.0 5.892019 2510.0 0.009163347 0.015537849 0.005976096 0.0071713147 0.019521913 0.00876494 0.00876494 0.011155378 0.011553785 0.015139442 0.009163347 0.011952192 0.00996016 0.00876494 0.012350597 0.009561753 0.013545817 0.007968128 0.011952192 0.011155378 0.010756972 0.014741036 0.011155378 0.008366534 0.009163347 0.012350597 0.011155378 0.009561753 0.009561753 0.009561753 0.010756972 0.009561753 0.008366534 0.009163347 0.011155378 0.011155378 0.01314741 0.012749004 0.009163347 0.0071713147 0.016733067 0.01314741 0.00876494 0.007569721 0.009561753 0.008366534 0.005976096 0.0139442235 0.011155378 0.006374502 0.011952192 0.012350597 0.009163347 0.00438247 0.009561753 0.00876494 0.008366534 0.009561753 0.008366534 0.008366534 0.009163347 0.007968128 0.01314741 0.00996016 0.010756972 0.009561753 0.011155378 0.0139442235 0.00996016 0.014342629 0.008366534 0.0071713147 0.011952192 0.012749004 0.0103585655 0.0071713147 0.010756972 0.009163347 0.011553785 0.0103585655 0.0067729084 0.012350597 0.015537849 0.010756972 0.01752988 0.009561753 0.006374502 0.00876494 0.012350597 0.0103585655 0.011155378 0.009561753 0.00996016 0.011952192 0.009163347 0.007968128 6.5412836 0.0 0.0 0.0 2.0 88576.0 466944.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1086264800.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 6.0 0.0 4.0 0.0 4.0 0.0 90112.0 4096.0 4096.0 3.0 1.0 0.0 2.0 3.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -512.0 0.0 0.0 0.0 0.0 -87040.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.7696759 0.0 0.0 0.0 0.0 -7.985766 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -90112.0 0.0 0.0 0.0 0.0 0.0 368640.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 172.0 462848.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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: 0.32296675 0.009234328 0.011632522 0.003797852 0.005632769 0.0029358675 0.0027267723 0.0026798325 0.006247253 0.0019970727 0.0023597889 0.002035478 0.004689707 0.0022189696 0.0016727617 0.0055772946 0.014649467 0.0015362097 0.0014978045 0.00148927 0.0027011689 0.0028334535 0.0020994865 0.0015874167 0.0025902204 0.0016258219 0.0016215547 0.0016215547 0.0021890989 0.0016727617 0.0014764683 0.002073883 0.0062259166 0.0016471582 0.0016812963 0.0017751757 0.002773712 0.0021506937 0.001574615 0.0015831495 0.0019544002 0.0013996578 0.001591684 0.0020440123 0.001608753 0.0031406954 0.0018007793 0.0014465975 0.004395267 0.0027097033 0.0023640562 0.0048134574 0.0025048754 0.0023341854 0.0020909521 0.0022104352 0.0026072892 0.0026755652 0.002137892 0.003456472 0.0025816858 0.0025304789 0.0024195304 0.0020482796 0.002871859 0.002620091 0.0018434516 0.002035478 0.002944402 0.006332598 0.0028889277 0.0023512545 0.0022616421 0.0020866848 0.0015618133 0.0013015111 0.0020781504 0.0032516439 0.0018775897 0.001762374 0.0046299654 0.0021762971 0.0018775897 0.003132161 0.0021506937 0.0039514727 0.003392463 0.0032047043 0.0020568143 0.0036186273 0.0014508647 0.0018093137 0.0016556927 0.003802119 0.0024195304 0.002773712 0.001967202 0.003870395 0.0016343564 0.0027950483 0.0033839287 0.006025356 0.0042587146 0.0017965119 0.0040794904 0.0034948771 0.004574491 0.0014935372 0.0032644458 0.0021506937 0.003456472 0.004160568 0.0033369889 0.0015362097 0.004668371 0.0037082396 0.008841741 0.008756395 0.0023853923 0.0016215547 0.0021976335 0.0021080212 0.001642891 0.0012887092 0.0017879774 0.0027822466 0.0018647879 0.0020824177 0.003354058 0.0023341854 0.0018733224 0.007860273 0.0026158239 0.0071988497 0.001540477 0.0013996578 0.002483539 0.0072585912 0.002035478 0.014824424 0.0019287966 0.005210311 0.0014423303 0.001540477 0.0017026325 0.0012033643 0.0013015111 0.0012588386 0.001779443 0.0017922447 0.0012417695 0.0012460368 0.001591684 0.0013783216 0.0011436228 0.0012588386 0.0017026325 0.0014593992 0.0012076315 0.0012588386 0.0018349172 0.001967202 0.001386856 0.0016642272 0.0015703477 0.001574615 0.0013569853 0.0011820281 0.001642891 0.001369787 0.0013996578 0.0013655198 0.0015191408 0.0011564245 0.0011734936 0.0012631058 0.0018519862 0.0012289678 0.0012588386 0.001284442 0.001403925 0.001677029 0.001779443 0.0016130202 0.0018903915 0.001438063 0.0015148735 0.0012631058 0.0017325032 0.0015191408 0.0017154342 0.0013612525 0.0052145785 0.0035290152 0.0027523758 0.0034266012 0.0025987548 0.0014636666 0.0023427198 0.0032388421 0.0027097033 0.0022659095 0.0015319425 0.0015874167 0.0027011689 0.001335649 0.0016471582 0.00165996 0.0023640562 0.0015191408 0.0018861241 0.0015106063 0.0017239687 0.0012631058 0.0015148735 0.001438063 0.002376858 0.001591684 0.0013953905 0.0017495722 0.0018690552 0.0014252613 0.001506339 0.0013740542 0.0026670308 0.001608753 0.0013484508 0.0013996578 0.0022616421 0.0021890989 0.0013655198 0.0013057783 0.008227257 0.0026926342 0.001540477 0.003648498 0.003733843 0.0013825888 0.0012972438 0.0013228473 0.003302851 0.001472201 0.001506339 0.001677029 0.0021805645 0.0013953905 0.002654229 0.0021762971 0.0035119462 0.0021122885 0.001642891 0.0033071183 0.0031278937 0.0019586675 0.0030382816 0.027907811 0.19782059 0.0 0.0 0.0 0.0 0.00041729762 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.008459956 0.0 1.5057131e-05 0.0 3.226528e-05 7.098362e-05 0.00016347742 6.8832596e-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 0.0036889971 0.0 0.00015917538 1.9359168e-05 3.4416298e-05 2.1510186e-05 0.0003226528 0.00015917538 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.010912118 0.00034416298 0.00033555893 1.0755093e-05 0.00023231002 0.00016777946 0.0005872281 0.00035276706 3.656732e-05 1.5057131e-05 3.8718335e-05 1.7208149e-05 1.0755093e-05 6.453056e-05 1.2906113e-05 7.743667e-05 0.0034588382 5.3775468e-05 6.0228525e-05 0.00012906113 0.00018498761 0.00020864881 7.528566e-05 5.8077505e-05 3.0114263e-05 2.1510186e-05 2.3661207e-05 2.1510186e-05 1.9359168e-05 1.9359168e-05 2.1510186e-05 1.9359168e-05 0.01473878 0.0002645753 0.0010088278 6.453056e-05 0.0003678242 0.0002624243 0.0031749036 0.0016627375 0.00025812225 2.3661207e-05 3.8718335e-05 2.7963244e-05 3.226528e-05 3.4416298e-05 2.3661207e-05 4.3020373e-05 0.020275503 0.00012045705 0.0022843818 0.0004151466 0.0014132193 0.0007205913 0.006552003 0.0032889077 2.1510186e-05 6.4530564e-06 1.5057131e-05 2.7963244e-05 1.0755093e-05 1.0755093e-05 3.4416298e-05 4.5171393e-05 0.010279719 0.001720815 0.00083244423 0.0003226528 0.000572171 0.00031619976 0.0014325784 0.00083459524 0.0001484203 0.0001613264 0.00015272234 0.000105399915 0.00013336317 0.000107550935 0.00012260806 0.0003785793 0.016863987 0.0019316148 0.0013766519 0.0007958769 0.0015960559 0.0010023747 0.0056722364 0.0029404426 0.00044526087 0.00024951817 0.00028393447 0.00027963243 0.0003570691 0.00030759568 0.00021510187 0.00092493807 0.008558904 0.0015315253 0.001032489 0.0007098362 0.0008948238 0.0007055341 0.004405286 0.002626394 0.00029253855 0.00011400399 0.00013551419 0.00011615501 0.00012475908 0.00013336317 0.00012260806 0.0005226976 0.010755094 0.0014218234 0.0013271786 0.007915749 0.0013293296 0.001152946 0.0018713863 0.0014755989 0.0016541334 0.00076361164 0.00079802796 0.0007593096 0.001030338 0.0007872729 0.00089052174 0.0013099704 0.0046913717 0.00061304035 0.0005248486 0.0022499657 0.00075285655 0.0007205913 0.0008302932 0.0009787135 0.0025403532 0.00043880782 0.00034846502 0.0006582117 0.0010970195 0.00054635876 0.0009098809 0.0041256538 0.029671153 0.008031904 0.0033792504 0.00652404 0.0060959873 0.008715928 0.0048634536 0.00789639 0.018462194 0.0012906112 0.001262648 0.001841272 0.008180324 0.0022284554 0.009513956 0.018606313 0.031394117 0.009440822 0.0038159073 0.0069198273 0.008442748 0.011677881 0.005635669 0.010761547 0.023041712 0.0017767415 0.0025704673 0.002761908 0.011133673 0.0045687635 0.0092924 0.01976141 0.018066406 0.017786773 0.018167505 0.01779753 0.018109426 0.017829794 0.01682742 0.017418949 0.018105125 0.017451216 0.0175222 0.01762975 0.017870663 0.01735872 0.016752133 0.017244717 825.0 11.0957575 9154.0 0.026764257 0.0026218046 0.0046974 0.003277256 0.0057898187 0.0034957395 0.0029495303 0.008520865 0.005243609 0.003277256 0.0042604324 0.0031680139 0.005680577 0.0036049813 0.006117544 0.0031680139 0.014966135 0.010050251 0.010050251 0.010705702 0.012453572 0.009176317 0.008848591 0.011688879 0.011907363 0.008302381 0.009067074 0.010377977 0.014966135 0.012781298 0.014529168 0.009504042 0.0072099627 0.010159493 0.0041511906 0.009613284 0.012235088 0.008083898 0.00819314 0.00994101 0.008957833 0.008411624 0.0028402884 0.0034957395 0.007428447 0.0049158838 0.007100721 0.005571335 0.015949313 0.0037142234 0.0050251256 0.014201442 0.008957833 0.0050251256 0.005680577 0.011579637 0.008848591 0.0045881583 0.0041511906 0.003932707 0.0050251256 0.0043696743 0.0041511906 0.006117544 0.009613284 0.029058335 0.0075376886 0.02228534 0.020209745 0.057788946 0.008848591 0.007100721 0.010487218 0.02523487 0.009067074 0.0037142234 0.027201224 0.012016605 0.023487 0.031352416 0.012235088 0.0038234652 0.035394363 0.023814727 0.048612628 0.016167795 0.008630107 0.0034957395 0.009176317 0.008302381 0.005243609 0.002403321 0.0051343674 0.0036049813 0.003277256 0.004041949 6.170084 1.0 0.0 0.0 2.0 234343.0 188416.0 1.0 7.0 97.0 1.0 1.0 0.0 0.0 0.0 1418078600.0 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 -1.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 12.0 0.0 5.0 1.0 5.0 1.0 72704.0 1024.0 4096.0 5.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -5120.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 80896.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5120.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -72704.0 0.0 2560.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.6331587 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.114543 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3.3059142 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.6570954 0.0 3.9374092 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5056.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 80502.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -12580.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -72646.0 0.0 2412.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 -1.0 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 0.0 -1.0 0.0 0.0 -2.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 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 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 -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 -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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 -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 -1.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 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 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 -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 -1.0 0.0 0.0 0.0 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 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -2.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 0.0 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 -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 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 10949.0 144928.0 120.0 155880.0 2412.0 176128.0 0.0 0.0 0.0 0.0 5056.0 180224.0 56.0 78496.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 143400.0 0.0 0.0 612.0 77824.0 0.0 0.0 0.0 0.0


Input: 0.05666388 0.008293613 0.006168187 0.0056567597 0.0057488997 0.0049527707 0.0042042644 0.0054217516 0.005054228 0.005631913 0.0037570244 0.004467225 0.004958982 0.0031720921 0.0043191803 0.0046432223 0.0050335224 0.0037694478 0.0049331 0.004160783 0.0043554152 0.0031772687 0.004104878 0.0038574464 0.0050656158 0.0033511952 0.0031586336 0.0029350135 0.00415043 0.003436088 0.0037880826 0.0037901532 0.006170258 0.003826388 0.0034888873 0.003026118 0.004898936 0.0041556065 0.0038357056 0.0037249308 0.0047187977 0.0038988574 0.0033367015 0.0030996227 0.004370944 0.0037197543 0.0037238954 0.0035862036 0.005511821 0.0039433744 0.0031089403 0.00290292 0.0036742021 0.0030685645 0.0026855115 0.0028666852 0.0041701 0.003315996 0.0035230515 0.0033563718 0.0040003145 0.0032207503 0.0035054518 0.0034547232 0.0065947217 0.0039444095 0.0036234735 0.003219715 0.0041638887 0.0032186797 0.003539616 0.003066494 0.004998323 0.0037725535 0.0037021546 0.0035862036 0.0041255835 0.0031317163 0.0035613568 0.003465076 0.005171214 0.0036296851 0.003651426 0.003342913 0.003934057 0.0033843243 0.003357407 0.003532369 0.004644258 0.0036410731 0.0038067177 0.0035147693 0.004112125 0.0033822537 0.0036907666 0.0037880826 0.0059093675 0.0036245089 0.0033408424 0.0029505426 0.0039961734 0.0030540705 0.003264232 0.0030323297 0.0049796877 0.0031607042 0.003197974 0.0030499294 0.0035737802 0.0028345915 0.0030768467 0.0031959035 0.0045055305 0.0032880434 0.003230068 0.0031513867 0.0038905751 0.003338772 0.0032921846 0.00362865 0.0046235523 0.003290114 0.0034847462 0.0031658805 0.0040396554 0.0031959035 0.003469217 0.0033470541 0.008647678 0.0045955996 0.0040106676 0.0035240867 0.0043636975 0.0034309118 0.0030209415 0.0033832889 0.0045428006 0.0038315644 0.0029577897 0.0031907272 0.0037249308 0.0028014625 0.00284805 0.002978495 0.005225049 0.0032114328 0.0034930285 0.0030271532 0.0036659199 0.0031886566 0.003305643 0.0032631967 0.0045469417 0.0028376973 0.0030437177 0.0027031112 0.0035199458 0.0032373148 0.0029857422 0.0031493162 0.0050107464 0.0034112416 0.0032766552 0.0027942157 0.0037756595 0.0030054124 0.0030468237 0.0031814098 0.0041328305 0.0030054124 0.0031223989 0.0030199063 0.0036472848 0.0028397678 0.002921555 0.0030292238 0.004659787 0.0031203283 0.0038470936 0.0028532266 0.003565498 0.0031482808 0.0029919539 0.0031296457 0.004256028 0.0031482808 0.0033304899 0.0031814098 0.0036462497 0.0031948683 0.003331525 0.0033439484 0.006721026 0.0040655374 0.0037249308 0.0033418778 0.0041255835 0.0032590555 0.003305643 0.003215574 0.004321251 0.003331525 0.0031089403 0.0030830584 0.0036576376 0.00297746 0.0030778819 0.002802498 0.0042456756 0.0032807963 0.0030861641 0.0030012713 0.0037176837 0.0030199063 0.0029298372 0.002944331 0.0039837505 0.0031141166 0.0027310636 0.002643065 0.003532369 0.002944331 0.0035737802 0.0028791085 0.004954841 0.0032362794 0.003394677 0.0029836716 0.0038129294 0.0030737408 0.0032031506 0.002918449 0.0044434136 0.00545281 0.0034671465 0.003130681 0.003786012 0.003085129 0.0032507733 0.0031917626 0.0046173404 0.0033263487 0.0034267707 0.0030468237 0.003733213 0.0030913404 0.003317031 0.00323835 0.004351274 0.0030312943 0.0031886566 0.002869791 0.004012738 0.0030985875 0.004227041 0.0045138127 0.011667952 0.0 0.0 0.0 0.0 0.0 1.0366906e-06 3.1100717e-06 0.0 1.0366906e-06 2.0733812e-06 0.0 0.0 1.0366906e-06 0.0 1.0366906e-06 0.0020516105 4.1467624e-06 2.0733812e-06 6.2201434e-06 5.1834527e-06 1.0366906e-06 3.1100717e-05 1.1403596e-05 0.0 0.0 1.0366905e-05 0.0 0.0 0.0 0.0 0.0 0.0009501269 2.5917263e-06 6.2201434e-06 1.29586315e-05 9.330215e-06 5.701798e-06 5.1834526e-05 2.2807191e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0028617843 3.5765825e-05 2.7990645e-05 1.0885251e-05 2.2288847e-05 3.4729135e-05 4.250431e-05 1.8142086e-05 3.5765825e-05 5.1834527e-06 9.848561e-06 1.6068703e-05 2.643561e-05 7.2568337e-06 1.7105394e-05 1.29586315e-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 0.00087963196 1.1921941e-05 1.2440287e-05 8.293525e-06 1.3476977e-05 1.6068703e-05 1.3476977e-05 1.1403596e-05 1.0885251e-05 1.3476977e-05 6.7384885e-06 1.3476977e-05 1.1921941e-05 1.0366905e-05 1.8142086e-05 9.848561e-06 0.0016244941 6.5311506e-05 5.701798e-05 4.8724454e-05 4.7687765e-05 3.058237e-05 2.2807191e-05 0.0005546294 3.0064026e-05 1.7105394e-05 1.9697121e-05 0.0002773147 2.073381e-05 0.00027420465 1.658705e-05 7.775179e-05 0.0007427888 3.732086e-05 3.421079e-05 2.073381e-05 2.2288847e-05 1.7105394e-05 1.3995323e-05 1.1921941e-05 1.658705e-05 2.2807191e-05 1.9178775e-05 1.7623739e-05 6.7384885e-06 4.6651076e-06 2.2807191e-05 5.0797837e-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 0.0013181521 3.732086e-05 4.3022657e-05 6.012805e-05 4.250431e-05 3.1619064e-05 9.174711e-05 5.8573016e-05 3.9394243e-05 5.7536326e-05 4.4059347e-05 4.3022657e-05 7.827014e-05 7.775179e-06 8.8118695e-06 0.00016120537 0.0011688686 6.945827e-05 4.613273e-05 4.613273e-05 3.835755e-05 3.7839207e-05 4.7687765e-05 6.012805e-05 5.2352872e-05 5.0797837e-05 6.842158e-05 5.1834526e-05 7.516007e-05 1.4513667e-05 4.4059347e-05 0.00025139746 0.0045775073 0.00029390177 0.0002726496 0.0002643561 0.00030945212 0.00023895717 0.0003296676 0.0003125622 0.00032655752 0.00035247477 0.00032655752 0.00035247477 0.00052145537 0.00015135683 0.0001866043 0.0007376053 0.0031966353 0.0002736863 0.00030064027 0.00024880574 0.00028871832 0.00028249816 0.00034314458 0.0009335398 0.0004074194 0.0003514381 0.00032448414 0.00066918373 0.00046288234 0.00043541004 0.00017468235 0.0008609715 0.0022511736 0.00018193919 0.00029027337 0.0002451773 0.00029856688 0.00029493845 0.00028560826 0.0004027543 0.0004431852 0.00032292912 0.000246214 0.0003172273 0.00046080895 0.00016172373 0.00018971437 0.0010387639 0.0003446996 5.4426255e-05 4.3022657e-05 4.509604e-05 5.4426255e-05 4.820611e-05 5.338956e-05 5.1834526e-05 7.0494956e-05 4.820611e-05 3.835755e-05 4.92428e-05 4.4577693e-05 2.643561e-05 4.1985968e-05 4.716942e-05 0.09919781 0.062022086 0.062457494 0.055319883 0.060587823 0.05956565 0.05491609 0.054489493 0.06045357 0.053168748 0.05212221 0.052959856 0.05643225 0.050557844 0.05668676 0.05386074 4025.0 5.7031054 22955.0 0.017251143 0.010411675 0.009366151 0.008712699 0.0134611195 0.012415595 0.011805707 0.011413636 0.012546286 0.009801786 0.0085384445 0.008582008 0.013896755 0.010629493 0.01171858 0.010063167 0.01672838 0.011936397 0.008712699 0.0075364844 0.009801786 0.008494881 0.007797865 0.008320628 0.010237421 0.008407754 0.009583969 0.008886953 0.011500763 0.008930516 0.009627532 0.009191897 0.017991723 0.01084731 0.010411675 0.0090176435 0.010890873 0.008843389 0.010673056 0.008277064 0.014201699 0.0116314525 0.009714659 0.008930516 0.011413636 0.009322587 0.011675016 0.009540405 0.0148115875 0.009671096 0.010019603 0.009061207 0.012067088 0.009453278 0.009540405 0.009801786 0.013678937 0.009191897 0.010498802 0.009583969 0.011152254 0.009801786 0.010455239 0.010673056 0.01794816 0.011021564 0.009671096 0.008189937 0.0130690485 0.008233501 0.0094097145 0.00836419 0.015421477 0.009279024 0.008886953 0.008669135 0.011326509 0.008015683 0.0098889135 0.007841429 0.013156175 0.007972119 0.008712699 0.008886953 0.011500763 0.0094097145 0.008320628 0.008015683 0.011021564 0.008886953 0.012023524 0.008451317 0.011370072 0.009061207 0.010019603 0.008799826 6.554659 0.0 0.0 0.0 14.0 965924.0 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