Input: 0.10260817 0.0121098105 0.0046998053 0.0058843223 0.01198546 0.015853075 0.0076698656 0.0034148518 0.011110226 0.002134681 0.0018827919 0.0032570227 0.0071405796 0.0027070115 0.0018732264 0.004079648 0.028756816 0.0035121003 0.0020167076 0.0019433728 0.0037655837 0.007596531 0.0017424991 0.0043076235 0.0034451424 0.0025443994 0.0017743838 0.0016835125 0.004478207 0.0013790135 0.0019274304 0.0017982974 0.0039281957 0.0012148073 0.002101202 0.001430029 0.0024965724 0.004192839 0.0015416255 0.0011877052 0.0019401843 0.0012530689 0.0012530689 0.0028265791 0.0018987341 0.001836559 0.0019306189 0.0016548162 0.005618085 0.0030306412 0.0029222332 0.0063323025 0.0028616523 0.0023770048 0.002318018 0.0016611931 0.002860058 0.0030704972 0.0023626566 0.0030800626 0.0020709117 0.0018222108 0.0016101776 0.0019609095 0.004344291 0.002785129 0.0022781622 0.0021027962 0.0024758473 0.010753117 0.004060517 0.0020039538 0.0031773108 0.0018174282 0.0018461244 0.0016787297 0.0025029494 0.009995855 0.0027420847 0.001734528 0.009857156 0.00564997 0.0038931225 0.0033734017 0.002705417 0.0066734687 0.0050616967 0.0038660204 0.0020629405 0.002243089 0.0011462552 0.0023004815 0.001680324 0.0059130187 0.003862832 0.0033048496 0.0022319295 0.003280936 0.0016962664 0.0029110736 0.005265759 0.005174888 0.0023546854 0.0021187386 0.006174473 0.0034435482 0.0058667855 0.0014459713 0.0034531136 0.002603386 0.002738896 0.0033510826 0.0031342665 0.0012721997 0.0034706502 0.0038213818 0.00727609 0.0050043045 0.0016022064 0.001694672 0.002852087 0.002072506 0.0013487231 0.001375825 0.001768007 0.0030465836 0.0019385901 0.0013949558 0.0044032778 0.0023594683 0.0024822243 0.007284061 0.005171699 0.0053630075 0.003185282 0.0020852596 0.002412078 0.011540669 0.0015272774 0.032178044 0.002141058 0.015194656 0.0021856965 0.0013471288 0.001911488 0.0012100246 0.0010266874 0.0019752574 0.001809457 0.0019561267 0.0014651022 0.0013519115 0.0029987565 0.0019354016 0.0015830756 0.0015336543 0.0017791665 0.0015511909 0.0015097408 0.0013487231 0.0024694705 0.002534834 0.0010426298 0.0022941045 0.0014794503 0.0013710423 0.0014874215 0.001186111 0.0019162708 0.0014348117 0.002689475 0.0012721997 0.0019290247 0.0011143704 0.0013901731 0.0012833594 0.0020406211 0.0013200268 0.0012307497 0.0015017696 0.0018796034 0.0022909162 0.0020932308 0.0015001753 0.0032171668 0.001701049 0.0013407519 0.0022749738 0.0019911998 0.0026129517 0.0017935147 0.0014491598 0.0058046104 0.004567484 0.0040493575 0.004255014 0.004495743 0.0018843861 0.0041035614 0.004486178 0.0036300737 0.0021187386 0.0014858273 0.001728151 0.037533082 0.0017903262 0.0038197876 0.0028361445 0.0030178872 0.0020342441 0.0016595989 0.0015846698 0.0020836655 0.0013885789 0.001463508 0.0016835125 0.0026815038 0.00216816 0.0015958295 0.0019736632 0.0021330868 0.0013471288 0.0014045213 0.0015719159 0.0029509293 0.0014443771 0.001375825 0.0015543794 0.0024694705 0.0027771578 0.0016149603 0.001430029 0.010061218 0.00315818 0.0014810446 0.0024726589 0.0065778145 0.0013200268 0.0014061155 0.0016898894 0.004664732 0.0022749738 0.001701049 0.0018046743 0.0036922488 0.0016564104 0.002249466 0.0031932532 0.0034467366 0.0021426522 0.0020278671 0.002758027 0.007161305 0.0026320824 0.0039808056 0.04070561 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.007064495 9.350067e-05 6.4731226e-05 0.000103090475 6.4731226e-05 0.00020378351 6.153463e-05 5.434227e-05 0.00011507774 3.9957547e-05 4.6350757e-05 4.3154152e-05 5.1145664e-05 4.874821e-05 8.31117e-05 4.5551606e-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 0.0024206282 0.00023894614 0.00014304802 0.0009925455 4.07567e-05 4.6350757e-05 0.00031007058 0.0002021852 1.1188114e-05 0.00010548793 8.790661e-06 3.5961795e-05 2.7171134e-05 1.51838685e-05 1.3585567e-05 0.00029808332 0.03169273 0.004208329 0.0012235001 0.0067288512 0.00043953303 0.00042754578 0.0030975093 0.0018340515 0.0003620154 0.00095898117 0.0006097522 0.0004778923 0.00043633644 0.00061214966 0.0006097522 0.0035642134 0.0031990013 0.00030767312 0.00012147095 0.0001206718 0.00011427859 7.83168e-05 8.6308304e-05 5.5141416e-05 5.434227e-05 8.790661e-05 3.9957547e-05 7.352189e-05 8.15134e-05 0.000109483684 7.9915095e-05 0.00030048078 0.0033468443 0.00021976652 0.00019978774 0.0005705938 0.0010101268 0.0004627084 0.0030831245 0.0015831181 6.0735474e-05 0.00011427859 9.829557e-05 0.0001662234 0.00018859963 0.00011827434 5.913717e-05 0.00017501407 0.0039414125 0.000534632 0.0003748018 0.000926216 0.0020761942 0.0010476869 0.004096448 0.0023375165 0.00017980897 0.00016382596 9.6697266e-05 0.00010468878 0.0001222701 9.829557e-05 0.000103090475 0.0001630268 0.013170009 0.0037951681 0.001222701 0.0013993133 0.0016270714 0.0013146034 0.0018995819 0.0012354874 0.0034970846 0.00045551607 0.00056499976 0.0006800775 0.003863895 0.0008007493 0.00067927834 0.0014376726 0.017193733 0.0070828754 0.003117488 0.0024581884 0.003959793 0.0043210094 0.006668915 0.0034259602 0.00848059 0.00085828814 0.0011819443 0.0010253107 0.008192097 0.0009701693 0.002138528 0.005848187 0.08171479 0.034023054 0.008350329 0.011184917 0.025146084 0.033955127 0.012232604 0.011873785 0.062120404 0.005166511 0.005799439 0.008975265 0.050934687 0.0071524014 0.019468917 0.05070693 0.011394295 0.004476045 0.001958719 0.002397453 0.0044592624 0.0052208533 0.0026755575 0.0025740652 0.008755499 0.0009453956 0.0009925455 0.0013273897 0.0063268784 0.0022560032 0.0031110947 0.006595393 0.023084275 0.017785905 0.015873536 0.019095713 0.017415898 0.016570395 0.0198613 0.017887397 0.017371943 0.017992085 0.01737674 0.017280042 0.01848516 0.01755415 0.017408704 0.01700913 2115.0 17.50071 37014.0 0.021451343 0.001377857 0.0062949155 0.001377857 0.0033500837 0.0044037392 0.0018641595 0.0014318906 0.001242773 0.0014048738 0.0013238235 0.0014589074 0.0014048738 0.0117252935 0.010185335 0.00837521 0.03998487 0.02409899 0.021478359 0.011509159 0.009590966 0.018533528 0.012589831 0.009347814 0.01766899 0.015831847 0.0099151675 0.0018101259 0.0034851679 0.0062678987 0.002755714 0.0084022265 0.0196142 0.013454368 0.005079159 0.009699033 0.011293024 0.007753823 0.007294537 0.005646512 0.0028637813 0.006484033 0.0011617226 0.0010536554 0.0044847894 0.0062949155 0.0029178148 0.003052899 0.0077808397 0.0040795375 0.0057275626 0.009590966 0.0074836547 0.0048630247 0.0065921005 0.005943697 0.004592857 0.0017560923 0.0028637813 0.001242773 0.0026746637 0.0015399578 0.0017560923 0.010293403 0.0019722267 0.03560815 0.010266386 0.025665965 0.0260442 0.05395256 0.009644999 0.011211974 0.0102123525 0.03720214 0.0030799157 0.0054303776 0.023153402 0.019749284 0.02798941 0.036634788 0.021343276 0.0018371427 0.030880207 0.0332847 0.045523316 0.013913655 0.003458151 0.0068622683 0.011266007 0.0058356295 0.0023774789 0.0013508402 0.0016480251 0.00078348734 0.0016480251 0.0012968066 5.917646 0.0 39.0 0.0 7.0 627260.0 954368.0 1.0 1.0 394.0 0.0 1.0 0.0 0.0 0.0 1379323900.0 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 10.0 0.0 5.0 1.0 5.0 1.0 324608.0 1024.0 4096.0 5.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -31744.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 119296.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4608.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -324608.0 0.0 456192.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 6.025896 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.031085 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.399312 0.0 7.9473476 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -31268.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 118977.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6240.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -324347.0 0.0 456064.0 0.0 0.0 0.0 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 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 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 1.0 1.0 -1.0 -1.0 1.0 -1.0 1.0 -1.0 -2.0 -1.0 1.0 -1.0 -1.0 1.0 -1.0 1.0 0.0 1.0 2.0 0.0 0.0 2.0 0.0 2.0 0.0 0.0 -1.0 0.0 0.0 3.0 0.0 0.0 1.0 0.0 1.0 0.0 1.0 -1.0 -1.0 0.0 -1.0 0.0 1.0 -1.0 0.0 0.0 -1.0 0.0 -1.0 0.0 -1.0 1.0 -1.0 -1.0 -2.0 -1.0 0.0 1.0 -1.0 0.0 1.0 -2.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 -2.0 -2.0 0.0 2.0 1.0 2.0 0.0 -1.0 1.0 -1.0 -2.0 0.0 2.0 1.0 -3.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 2.0 0.0 0.0 -1.0 0.0 -2.0 0.0 -1.0 1.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 1.0 0.0 1.0 2.0 0.0 -1.0 0.0 0.0 -1.0 -2.0 0.0 0.0 1.0 2.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 1.0 0.0 0.0 2.0 0.0 0.0 -1.0 -1.0 2.0 -1.0 1.0 1.0 2.0 2.0 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 2.0 -1.0 0.0 0.0 2.0 1.0 -1.0 1.0 0.0 0.0 -1.0 -1.0 -1.0 1.0 -1.0 0.0 0.0 -1.0 2.0 1.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 1.0 0.0 0.0 -1.0 -1.0 0.0 1.0 -1.0 -3.0 1.0 0.0 -1.0 0.0 -1.0 0.0 -2.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 -2.0 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 1.0 0.0 -1.0 -2.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 -2.0 1.0 0.0 -1.0 0.0 -2.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 -1.0 -1.0 -1.0 -2.0 -1.0 1.0 1.0 -1.0 -1.0 -1.0 1.0 1.0 1.0 0.0 1.0 -1.0 0.0 0.0 0.0 -1.0 -1.0 0.0 -1.0 -1.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 5.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 1.0 0.0 2.0 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 1.0 0.0 0.0 -1.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 1.0 -1.0 -1.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 1.0 1.0 -1.0 0.0 0.0 0.0 1.0 1.0 -1.0 0.0 1.0 0.0 0.0 -1.0 -1.0 1.0 -1.0 -2.0 0.0 -1.0 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 1.0 0.0 -1.0 1.0 0.0 -3.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 2.0 1.0 0.0 0.0 0.0 0.0 1.0 -1.0 1.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 1.0 -1.0 -1.0 -1.0 0.0 1.0 0.0 0.0 0.0 -1.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 1.0 2.0 0.0 1.0 0.0 -2.0 -1.0 0.0 1.0 1.0 0.0 0.0 1.0 0.0 -2.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 -1.0 3.0 1.0 0.0 0.0 0.0 -2.0 1.0 0.0 1.0 -3.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 -2.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 2.0 2.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 1.0 0.0 1.0 1.0 2.0 0.0 -1.0 -1.0 0.0 0.0 1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 -1.0 2.0 -1.0 0.0 0.0 1.0 1.0 1.0 1.0 -3.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 1.0 0.0 1.0 -1.0 0.0 0.0 0.0 -1.0 -1.0 -2.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 -1.0 1.0 0.0 2.0 0.0 -1.0 -1.0 1.0 1.0 1.0 1.0 -1.0 1.0 0.0 1.0 -1.0 -1.0 0.0 1.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 1.0 2.0 -1.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 1.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 -1.0 -1.0 0.0 -1.0 0.0 1.0 2.0 0.0 0.0 0.0 -2.0 1.0 0.0 0.0 1.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 -1.0 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 1.0 -1.0 1.0 0.0 0.0 -1.0 1.0 0.0 1.0 1.0 1.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 -1.0 1.0 -1.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 -1.0 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 1.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 1.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 -2.0 0.0 0.0 1.0 1.0 1.0 0.0 0.0 -1.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 1.0 0.0 -2.0 -1.0 1.0 0.0 -1.0 0.0 -1.0 -1.0 1.0 0.0 0.0 1.0 -1.0 2.0 0.0 -1.0 0.0 0.0 -2.0 -1.0 -1.0 0.0 -1.0 0.0 -1.0 0.0 1.0 0.0 0.0 1.0 0.0 1.0 0.0 1.0 -1.0 -1.0 2.0 0.0 1.0 -1.0 0.0 0.0 1.0 1.0 -1.0 -1.0 -1.0 0.0 -1.0 0.0 -1.0 0.0 -1.0 1.0 1.0 -2.0 0.0 0.0 0.0 0.0 0.0 1.0 2.0 1.0 -1.0 0.0 1.0 -1.0 0.0 -1.0 0.0 -1.0 0.0 1.0 -1.0 1.0 -2.0 0.0 1.0 0.0 0.0 -2.0 0.0 1.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 1.0 1.0 1.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 1.0 1.0 -2.0 -1.0 1.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 -1.0 2.0 0.0 1.0 0.0 -1.0 1.0 -1.0 -2.0 0.0 -2.0 -1.0 -1.0 0.0 0.0 -1.0 0.0 0.0 1.0 2.0 1.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 1.0 -2.0 -2.0 0.0 0.0 0.0 1.0 -1.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 -1.0 0.0 0.0 1.0 1.0 -1.0 -2.0 0.0 0.0 1.0 0.0 -1.0 -1.0 -1.0 1.0 -1.0 0.0 0.0 2.0 -1.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 81.0 450672.0 340.0 437800.0 456064.0 462848.0 0.0 0.0 7720.0 937472.0 29924.0 921600.0 28.0 335376.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 404368.0 0.0 0.0 3400.0 331776.0 0.0 0.0 0.0 0.0


Input: 0.0066641388 0.0039379545 0.0038400055 0.0039499486 0.003951947 0.003854598 0.0038943773 0.003839006 0.003932957 0.003825613 0.003890979 0.0039059713 0.004003321 0.0038927782 0.0038078222 0.003860195 0.003981132 0.0038378066 0.0037994266 0.0038673913 0.0038486011 0.0038769862 0.0038805844 0.0039087697 0.003933957 0.003873388 0.003881384 0.0038869812 0.0038967761 0.0038551977 0.003893178 0.0038509998 0.004084279 0.0039075706 0.0038422043 0.003933357 0.00396674 0.0038979754 0.0038551977 0.0038819837 0.003900374 0.0039145667 0.0038511998 0.003840805 0.0038190165 0.0038881805 0.003837007 0.0038511998 0.0038585959 0.0039427523 0.0038304105 0.003979933 0.0038687906 0.0038555975 0.0038378066 0.004031506 0.0039261607 0.003867791 0.003940953 0.0039203637 0.0038675913 0.0038583959 0.0038823835 0.003783035 0.004131654 0.0039279596 0.0039013736 0.0038957766 0.0038535984 0.0040440997 0.0039597433 0.003923562 0.0038627936 0.0039211633 0.00396594 0.0038484011 0.0038565968 0.0039247614 0.0038887803 0.0038667915 0.003910369 0.0039059713 0.0038611945 0.0039077704 0.0039149667 0.004011716 0.0039543463 0.003910769 0.0038452027 0.0039707376 0.0039535468 0.0038905793 0.0039021731 0.0040289075 0.0039323578 0.0038356078 0.0037864333 0.003918565 0.0038152183 0.0039343564 0.0040067188 0.004072085 0.0039229626 0.0038843825 0.0039395536 0.0039743357 0.003887181 0.0038625938 0.0039533465 0.003860395 0.00396594 0.003943552 0.0038583959 0.0038875807 0.003923762 0.003948349 0.0040476974 0.0040285075 0.0038348082 0.003843004 0.003983731 0.003856197 0.0038911789 0.0038591956 0.003921963 0.003836807 0.0037956284 0.0037654443 0.0038711892 0.0038330092 0.0038318099 0.0038923782 0.0038935777 0.0038939775 0.003938754 0.0038058232 0.003843204 0.0039921263 0.0039147665 0.004305564 0.0038997745 0.003989528 0.0039871293 0.0038903793 0.0038729883 0.0039169653 0.0039247614 0.003906371 0.003916366 0.003898975 0.003867791 0.0037892319 0.003854598 0.0038863814 0.0038020252 0.0039095692 0.0038943773 0.003877586 0.00388918 0.0038527988 0.0038302105 0.0039369552 0.0038847823 0.003944551 0.003910169 0.0038274121 0.0038655922 0.003835008 0.0039047718 0.0038829832 0.00394715 0.00390817 0.0039051718 0.0039019734 0.0039075706 0.0038346082 0.0037436555 0.0038216151 0.0039809323 0.00387019 0.0038997745 0.0039151665 0.003833609 0.0038182167 0.0039089695 0.0038242138 0.0039189644 0.0038721887 0.0039135674 0.0038721887 0.003839006 0.0037460544 0.003952547 0.0038118202 0.0038020252 0.003906571 0.0038476016 0.0038623938 0.0039417525 0.0039095692 0.0039193644 0.003929759 0.0038945773 0.0038324094 0.0038462023 0.003910769 0.0038655922 0.0038509998 0.0039011738 0.003964541 0.0039245617 0.003808422 0.003942952 0.0038837828 0.0038755871 0.0038134193 0.003862194 0.0038631936 0.003862194 0.0038537984 0.003925361 0.0038605947 0.0039075706 0.0037706415 0.003863793 0.003848801 0.0039557456 0.003902573 0.003925361 0.0038424043 0.0038571965 0.0038114204 0.004135452 0.003921363 0.0039747357 0.003896976 0.003921763 0.0038228144 0.0038010257 0.003833409 0.0039057713 0.003916366 0.003913967 0.0038070227 0.0038627936 0.0038881805 0.0038386062 0.003804224 0.00392816 0.003871789 0.0038839828 0.0037892319 0.0038857816 0.0037822356 0.0037648445 0.004722947 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00037310927 5.79859e-06 1.9095356e-05 7.4981763e-06 2.7293363e-05 5.09876e-06 9.6776464e-05 4.7788377e-05 1.019752e-05 6.4984197e-06 1.3996596e-06 8.997812e-07 3.6991005e-06 1.4996352e-06 1.299684e-06 6.298468e-06 0.0002771326 2.7993192e-06 4.4989058e-05 6.7983465e-06 3.499149e-05 1.7295793e-05 0.00014606447 7.6681354e-05 1.1997082e-06 3.9990275e-07 2.9992705e-07 3.9990275e-07 7.998055e-07 2.9992705e-07 2.9992705e-06 1.0997326e-06 0.00025693752 2.599368e-06 6.3884465e-05 1.7795672e-05 1.969521e-05 1.3396742e-05 0.00012277014 6.178497e-05 1.1997082e-06 1.599611e-06 5.998541e-07 2.1994651e-06 3.6991005e-06 5.998541e-07 2.6993435e-05 1.8495502e-05 0.00032472104 9.097787e-06 2.3494285e-05 2.0295065e-05 3.079251e-05 1.1997082e-05 3.2192173e-05 1.8595478e-05 2.4993922e-05 1.4996353e-05 5.198736e-06 3.799076e-06 2.3494285e-05 6.4984197e-06 2.6593532e-05 3.749088e-05 0.00037890786 6.998298e-06 7.0282906e-05 4.1689862e-05 6.418439e-05 3.2592074e-05 0.00020505014 0.00012307007 3.729093e-05 3.8190712e-05 7.2982252e-06 1.5896134e-05 4.7888352e-05 1.02974955e-05 4.2289714e-05 0.00010657408 2.1494772e-05 3.3991732e-06 3.8590613e-05 2.5893703e-05 6.398444e-06 5.5986384e-06 4.9288014e-05 2.9992705e-05 3.499149e-06 3.199222e-06 2.6993434e-06 2.9992705e-06 3.199222e-06 2.899295e-06 2.6993434e-06 2.899295e-06 0.00030252643 3.1092437e-05 4.148991e-05 3.8790567e-05 0.00011727148 9.7676246e-05 4.9987844e-05 6.848334e-05 0.00018795428 1.549623e-05 1.4696426e-05 2.849307e-05 9.53768e-05 5.5686458e-05 8.3879604e-05 0.0002043503 0.0011674161 0.00016176066 0.00023534277 0.00021844688 0.00045418955 0.00043819344 0.00029632793 0.00034341647 0.0007326218 8.198006e-05 9.357724e-05 0.00013656678 0.00039620366 0.00024973927 0.00038420656 0.00075251696 0.061875153 0.061852958 0.061738484 0.06188105 0.062019818 0.062118992 0.061732687 0.06151794 0.06179007 0.061903045 0.062108394 0.06159222 0.061513938 0.061695497 0.061750084 0.061443657 23726.0 5.8236957 138173.0 0.014590405 0.009973004 0.010392768 0.010240785 0.010363819 0.010074327 0.010320395 0.009987479 0.010081564 0.009994716 0.010016428 0.00942297 0.009647327 0.010255259 0.010957278 0.010001954 0.009857208 0.0101467 0.010327633 0.009705225 0.009734174 0.009864445 0.009726937 0.010349344 0.009509818 0.010298683 0.010276971 0.010132225 0.010168412 0.010530277 0.010363819 0.009350597 0.010088801 0.009944055 0.010067089 0.01041448 0.009784835 0.011000702 0.010472379 0.010009191 0.009987479 0.010725684 0.010190124 0.0094808685 0.0097631235 0.0095749535 0.010320395 0.010067089 0.009726937 0.010494091 0.009994716 0.010827007 0.010204598 0.010957278 0.010233548 0.010378294 0.009712462 0.010349344 0.010074327 0.009973004 0.009661801 0.010935566 0.010132225 0.0097631235 0.009603903 0.012136959 0.0096690385 0.011007939 0.011883653 0.014843711 0.010305921 0.00979931 0.010248022 0.011919839 0.010255259 0.010284209 0.011840229 0.010761871 0.012231044 0.012231044 0.010371056 0.010494091 0.01218762 0.012600146 0.012954774 0.011174398 0.010211836 0.010342107 0.010190124 0.010494091 0.010001954 0.009792073 0.009712462 0.009741412 0.009394021 0.00934336 6.5792217 1.0 2.0 0.0 96.0 5002597.0 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 41472.0 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 -41472.0 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 -4.102853 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.647854 0.0 0.0 0.0 0.0 0.0 0.0 -4.6409984 4.5938 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -8.0 0.0 0.0 -2332.0 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 -41424.0 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 6608.0 8852936.0 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: 0.03780043 0.0043650065 0.0041989656 0.003907809 0.0042305365 0.004385664 0.0038785764 0.003807249 0.0037873709 0.0035577978 0.0036263969 0.003594436 0.0037904892 0.0036022314 0.0037296852 0.004280427 0.0038321943 0.0035398686 0.0036104165 0.0036170424 0.0036310742 0.0036973346 0.0035402584 0.0035652034 0.003659527 0.0036852518 0.0036914882 0.0037137049 0.0037059095 0.0036131449 0.0035234983 0.0036283457 0.0043361634 0.0036369206 0.0037129254 0.003691878 0.0036466648 0.0042391117 0.0035866406 0.0036100268 0.0036696612 0.003592877 0.0036521216 0.0036513421 0.0039487346 0.0038988444 0.0037312445 0.003793997 0.004382546 0.0042009144 0.0042523635 0.004520524 0.0042488556 0.004500256 0.0041299765 0.0040987954 0.00410737 0.0041252994 0.004194288 0.0046394025 0.0041689533 0.0042153355 0.004110488 0.0045992564 0.0044032037 0.00372189 0.003742158 0.0037834733 0.0042020837 0.0037826938 0.003678236 0.0037499531 0.003942888 0.0038267374 0.0037207208 0.0036501728 0.003921841 0.003719941 0.0043852744 0.0038084183 0.0044452986 0.0036065187 0.0035846918 0.0036653737 0.003786981 0.0037246183 0.0036872006 0.003668102 0.0036829133 0.004013436 0.0036287354 0.0037339728 0.0037031812 0.003684862 0.003616263 0.0036509524 0.003719941 0.004037212 0.0036626454 0.0038477848 0.0037752881 0.0042227414 0.005052946 0.003702012 0.0037830835 0.0039253486 0.0035998928 0.0035636444 0.0039393804 0.003726957 0.004231316 0.0039592586 0.0039132657 0.003641598 0.0040633264 0.0039518527 0.0040586493 0.0037624259 0.003599113 0.0036805747 0.0037078583 0.003627956 0.0050642495 0.0035956053 0.003552731 0.0036170424 0.0035445457 0.0035570182 0.0038614268 0.0039826445 0.0034662024 0.0035577978 0.0035936565 0.005295771 0.0034494426 0.0034291747 0.0035562387 0.0037129254 0.0034814035 0.0041416697 0.0034459345 0.0036985038 0.003475167 0.0035262266 0.0035889791 0.0034213793 0.0034521709 0.0035082973 0.0035305142 0.003450222 0.0034775056 0.0034295644 0.0035414277 0.0034396984 0.0034147531 0.0034958248 0.0035422072 0.0034381393 0.003440478 0.003510636 0.0036404287 0.0036953858 0.0034962145 0.003496994 0.003572609 0.0034946555 0.003579625 0.0035215495 0.0035901486 0.0034307337 0.0034447652 0.0042457376 0.0043412307 0.003534022 0.004220403 0.0034919272 0.003686421 0.0034810137 0.0035445457 0.0034930964 0.0035461048 0.0035164824 0.0036930472 0.0035679317 0.0036357513 0.0035047894 0.003617822 0.0034478833 0.0036291252 0.0036517319 0.0034993328 0.003725008 0.0040411097 0.0037109766 0.0035110258 0.0038867616 0.0036380899 0.003683303 0.003680185 0.0035445457 0.0035679317 0.0035753374 0.0035297347 0.0035016714 0.003606129 0.0034646434 0.0034712695 0.0035012816 0.00410776 0.003703571 0.0036057392 0.0035348015 0.0035546797 0.0034564582 0.0035168722 0.0034755568 0.003912486 0.0035016714 0.0034786751 0.0035219393 0.0035246676 0.0035301244 0.0034802342 0.003490758 0.003719941 0.003901183 0.0035920974 0.0038532417 0.003852852 0.00347049 0.0038485643 0.0035316835 0.0036357513 0.0049995477 0.0034650331 0.003473608 0.0035075177 0.0035328527 0.0035242778 0.003562475 0.003696555 0.003492317 0.003488419 0.0034560685 0.0035133644 0.0038520724 0.0036139244 0.0043700733 0.004109319 0.0040040817 0.0041938983 0.0035133644 0.0036677122 0.003646275 0.0037491736 0.008158614 0.0019968052 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00067782175 2.340006e-06 1.3650035e-06 2.1450055e-06 5.850015e-07 1.170003e-06 9.750025e-07 7.80002e-07 1.150503e-05 0.0 5.850015e-07 0.0 7.80002e-07 7.80002e-07 3.6855094e-05 6.1035156e-05 0.00034047087 2.730007e-06 3.3150086e-06 2.340006e-06 2.5350064e-06 3.7050095e-06 3.3150086e-06 1.950005e-06 8.970023e-06 9.750025e-07 1.560004e-06 1.950005e-06 4.290011e-06 4.680012e-06 5.6550143e-06 1.0920028e-05 0.0008492272 7.9950205e-06 2.0085052e-05 1.0530027e-05 4.680012e-06 2.6715068e-05 4.4850117e-06 8.580022e-06 2.340006e-06 7.80002e-07 4.680012e-06 5.850015e-07 3.7050095e-06 5.2650134e-06 0.00016477543 8.365521e-05 0.001174098 2.6130067e-05 2.7105069e-05 1.5990041e-05 3.90001e-05 5.928015e-05 2.3595061e-05 1.5990041e-05 2.0475052e-05 2.2035056e-05 1.189503e-05 1.4625038e-05 1.4820038e-05 1.3065033e-05 1.8135046e-05 0.00010120526 0.0056577446 0.00014274036 0.00030927078 0.0001585354 0.00025623065 0.00052630634 0.00043660612 0.00025428066 5.031013e-05 5.167513e-05 5.2065134e-05 3.7050097e-05 8.268021e-05 0.000116025294 8.4630214e-05 0.0005697915 0.0035454992 8.619022e-05 0.00013903536 0.00024550562 0.00026910068 0.0001593154 0.00027046568 0.00017452544 6.337516e-05 0.00013435534 0.0004262711 6.532517e-05 5.031013e-05 7.351519e-05 0.00029347575 0.00079287204 0.0048360126 0.00018135046 0.00048165122 0.0004947163 0.00052260136 0.00019188049 0.0010746478 0.0005924115 0.00012675032 0.0001152453 0.00096037745 9.4965246e-05 9.730525e-05 8.814022e-05 0.00019324549 0.0007314469 0.005553809 0.00032506583 0.0005867565 0.0008695072 0.00092586235 0.000384541 0.0012337682 0.00076596194 0.00014274036 0.00010920028 0.00079579704 0.00016282541 0.00015073539 0.0002808007 0.00048613624 0.00080476707 0.0031673932 0.0006472067 0.0006819167 0.007546909 0.00071838184 0.00060742657 0.00079813704 0.0006316066 0.0005036863 0.0004744362 0.0008642422 0.00048847625 0.00049861625 0.0004693662 0.00056901143 0.0009018773 0.002013575 0.0001934405 0.00029230575 0.00041788607 0.00044616114 0.00022425057 0.00053001137 0.0003159008 0.00013377034 0.00012090031 0.00013201534 0.00012090031 0.00013201534 0.0001175853 0.00015210039 0.00024823562 0.0016042691 0.00019831551 0.0002341956 0.00039994603 0.00022776058 0.00018895548 0.0002351706 0.00020709053 0.00020163052 0.00013006534 0.00014371537 0.00017394044 0.00018778548 0.00019090548 0.00019071049 0.00027787572 0.001583989 0.00035646092 0.00048262623 0.0006121066 0.00041496108 0.00037771597 0.0005892915 0.00047131622 0.00029503574 0.00025935067 0.00026383568 0.00032038582 0.0002671507 0.00026188567 0.00028606574 0.00034632089 0.06320239 0.056115877 0.057149187 0.057744134 0.05823729 0.057156403 0.057518322 0.05749531 0.058147978 0.05429516 0.055170905 0.05579101 0.05645128 0.055800565 0.057024386 0.05963271 13906.0 7.034086 97816.0 0.020272758 0.00783103 0.008996483 0.0073403125 0.008884028 0.009323628 0.0074527683 0.008209291 0.008638669 0.0076776803 0.007616341 0.0070438376 0.008904474 0.009108939 0.008935143 0.0081786215 0.015242905 0.014087675 0.013637851 0.013893433 0.013034677 0.012901775 0.012758649 0.012523513 0.01310624 0.012983561 0.014506829 0.01366852 0.01316758 0.01310624 0.0128915515 0.012329271 0.008802241 0.008209291 0.007984378 0.00839331 0.009129385 0.008403533 0.0082604075 0.008792018 0.009292958 0.008659115 0.008403533 0.0072687496 0.009405415 0.008209291 0.008291077 0.0078617 0.009180502 0.008229737 0.00776969 0.008413756 0.009998364 0.008117282 0.007943486 0.008250184 0.008720455 0.009303181 0.008659115 0.008679561 0.00895559 0.0078617 0.0076265642 0.008199068 0.008730678 0.01651059 0.009057823 0.0128915515 0.013188027 0.021785801 0.009630326 0.010305063 0.010724217 0.014568169 0.007503885 0.008096835 0.014741965 0.01129672 0.015058886 0.016970638 0.012155476 0.007933263 0.01772716 0.015447371 0.01868815 0.01135806 0.009160056 0.008127505 0.009701889 0.009282735 0.010724217 0.007994602 0.008321747 0.007902592 0.007432322 0.0074527683 6.5250664 0.0 3.0 0.0 44.0 2565632.0 5558272.0 0.0 0.0 29.0 1.0 1.0 0.0 1.0 0.0 1540903600.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 14.0 11.0 6.0 0.0 6.0 0.0 958464.0 1024.0 4096.0 7.0 3.0 0.0 3.0 1.0 0.0 0.0 0.0 0.0 0.0 -10752.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 129536.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2372608.0 0.0 0.0 0.0 0.0 51712.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.9335165 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.9093013 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7.987096 0.0 0.0 0.0 0.0 4.705562 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -10664.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 129212.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2002825.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -18276.0 0.0 0.0 0.0 0.0 0.0 -2372128.0 0.0 0.0 -958217.0 0.0 51253.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 240.0 3467456.0 51253.0 5505024.0 0.0 0.0 0.0 0.0 10664.0 5492736.0 0.0 0.0 0.0 0.0 0.0 0.0 24.0 3461976.0 64.0 5487920.0 0.0 0.0 160.0 3661824.0 0.0 0.0 0.0 0.0


Input: 0.011506194 0.0044508716 0.003719303 0.0038716777 0.003797411 0.0036744871 0.003960029 0.003802533 0.003752595 0.0037854603 0.0039254567 0.0036138787 0.003840093 0.003986492 0.0038925917 0.003998443 0.0038178985 0.0038571658 0.0037035109 0.004125635 0.0037777773 0.004174719 0.0038085084 0.003797838 0.004114538 0.004024479 0.004007833 0.0040774047 0.0036825966 0.0038593 0.003715035 0.0040513687 0.0039032623 0.003920335 0.0038443613 0.0038178985 0.004029174 0.0038076548 0.003665097 0.0038123499 0.004075697 0.0039143595 0.0038499099 0.004257522 0.0036343662 0.0038528976 0.004085087 0.0036757677 0.0039292984 0.0040381374 0.0039147865 0.003835398 0.00390625 0.0039314325 0.0038123499 0.0039497856 0.0037086327 0.0038699703 0.003948505 0.004047954 0.00413844 0.0040185032 0.003703084 0.0038059475 0.0036885722 0.0037696678 0.0037346687 0.003778631 0.003939115 0.0039186277 0.004059051 0.0036292444 0.003907957 0.0037700946 0.004007406 0.003776497 0.0039544804 0.003965151 0.004082953 0.003894299 0.0039399685 0.004046247 0.004053503 0.0038665559 0.0036847307 0.003755156 0.0040654535 0.0037607045 0.0041247816 0.004049661 0.0040018577 0.0042127063 0.0039916136 0.0038832019 0.0037649728 0.0039292984 0.0039493586 0.00390625 0.0037397905 0.003944664 0.0037363758 0.0037897283 0.0037986916 0.0037350955 0.0037141812 0.0039856383 0.00386869 0.003946371 0.003880214 0.0036608288 0.003797838 0.0039950283 0.0038891772 0.003908384 0.0042972164 0.00373851 0.003721864 0.0038435075 0.004017223 0.0037308272 0.003946798 0.003903689 0.0040206374 0.0038324103 0.0040961844 0.0038452148 0.0038230203 0.0038844822 0.0038362516 0.004071856 0.0038085084 0.0038960064 0.0038076548 0.0038405198 0.0041465494 0.00393442 0.0038285688 0.0038238738 0.003778631 0.0039860653 0.0038268615 0.0037154618 0.0037589974 0.0038366786 0.0039852117 0.0038716777 0.00397198 0.004062893 0.0038797872 0.0038208861 0.0040910626 0.003674914 0.004114538 0.003946371 0.0038550317 0.0037752164 0.003767107 0.004033442 0.0037257054 0.0039258837 0.00403643 0.00390625 0.0039049694 0.0039527733 0.0038119229 0.003956188 0.0037308272 0.0038238738 0.0037543024 0.0037611315 0.004003565 0.0037722287 0.0044188597 0.0037854603 0.0037816188 0.0038341174 0.004024479 0.003797838 0.0038840554 0.0037560095 0.0036847307 0.0037543024 0.003913933 0.004012955 0.0039455174 0.003936981 0.0037726555 0.0038716777 0.003691133 0.0036642435 0.0037146083 0.0041247816 0.0039310055 0.0039736875 0.003587416 0.0036672312 0.003721864 0.0039438102 0.003906677 0.0036834504 0.0035720505 0.0037274128 0.0038674094 0.0037479 0.003847349 0.0040931967 0.0041055745 0.0037227178 0.0038947258 0.0038178985 0.0039472245 0.003932286 0.0038149108 0.0037252787 0.003882348 0.0038439343 0.003916067 0.0037841797 0.0038332639 0.0038699703 0.0037146083 0.0037483268 0.0036877184 0.003724425 0.0039455174 0.0041593537 0.0039147865 0.0039788093 0.004108562 0.003731254 0.0038170447 0.0039002746 0.0037355223 0.0037910088 0.003778631 0.0038332639 0.003769241 0.0037969842 0.0038456416 0.0038315565 0.003920762 0.0039007014 0.0038375321 0.0037423514 0.0041717314 0.004047527 0.003991187 0.0037355223 0.003875519 0.0038012525 0.0037321078 0.003974114 0.003830703 0.0038268615 0.0036945476 0.00372912 0.003932297 0.0 4.2700592e-07 0.0 0.0 0.0 0.0 0.0 0.0 1.2810177e-06 0.0 0.0 4.2700592e-07 0.0 8.5401183e-07 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00039412646 6.6185917e-06 4.910568e-06 6.4050886e-07 2.5620354e-06 1.4945207e-06 7.899609e-06 6.6185917e-06 4.2700592e-07 6.4050886e-07 4.697065e-06 1.7080237e-06 1.2810177e-06 2.1350296e-07 1.9215265e-06 1.4945207e-06 0.0007182239 2.7755384e-06 7.686106e-06 1.1315657e-05 2.4979845e-05 7.0455976e-06 3.394697e-05 1.4945206e-05 4.483562e-06 2.1350296e-07 1.7080237e-06 2.7755384e-06 1.2810177e-06 2.1350296e-07 2.3485325e-06 4.056556e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0002809699 2.7755384e-06 7.686106e-06 1.1315657e-05 2.4979845e-05 7.0455976e-06 3.394697e-05 1.4945206e-05 4.483562e-06 2.1350296e-07 1.7080237e-06 2.7755384e-06 1.2810177e-06 2.1350296e-07 2.3485325e-06 4.056556e-05 0.00024275285 1.8361254e-05 2.3485325e-05 8.113112e-06 5.9780828e-06 5.76458e-06 6.1915857e-06 6.8320946e-06 7.686106e-06 6.6185917e-06 4.697065e-06 8.326615e-06 6.6185917e-06 6.4050887e-06 7.472603e-06 7.19505e-05 0.0012756801 0.00011102154 6.639942e-05 8.155813e-05 0.0001733644 0.00010910001 0.00024275285 0.00015521665 4.633014e-05 3.0317418e-05 3.9925053e-05 3.1384934e-05 3.7149515e-05 2.8822898e-05 8.0704114e-05 0.000113797076 0.00085251726 6.2983374e-05 4.3127595e-05 3.2238946e-05 6.46914e-05 6.661292e-05 0.00012639374 0.000113156566 5.6151275e-05 5.0386698e-05 3.8857535e-05 3.9284543e-05 3.8003527e-05 4.3554603e-05 8.283914e-05 3.821703e-05 0.000180837 1.6226224e-05 1.0248142e-05 8.326615e-06 2.6901373e-05 1.3450686e-05 2.4339337e-05 2.1777301e-05 5.06002e-05 5.551077e-06 4.056556e-06 4.697065e-06 1.0888651e-05 3.4160473e-06 2.1990803e-05 3.394697e-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 0.00020816538 3.0957926e-05 4.4195112e-05 3.3733468e-05 5.0173192e-05 3.6295503e-05 7.622055e-05 7.387202e-05 8.113112e-05 2.8395893e-05 2.8609396e-05 3.2025444e-05 3.394697e-05 2.4339337e-05 4.483562e-05 4.761116e-05 0.061330643 0.062356524 0.06194639 0.06238535 0.06151212 0.06289626 0.060903426 0.06210587 0.061659224 0.062394317 0.062115483 0.06143953 0.060974095 0.061039854 0.061699793 0.06143526 10820.0 5.7073936 61754.0 0.009651197 0.010185575 0.00952165 0.009651197 0.009424491 0.0097321635 0.009116818 0.009149205 0.010509441 0.0129222395 0.008873919 0.009683583 0.009440684 0.010914273 0.009926482 0.009149205 0.012598374 0.011545811 0.010039835 0.009877902 0.00966739 0.012371669 0.009958869 0.011367684 0.009877902 0.009294945 0.009230171 0.009375911 0.009635003 0.009683583 0.009213978 0.010298928 0.009780743 0.010185575 0.011270525 0.011400071 0.008922499 0.00986171 0.0108495 0.010023642 0.010298928 0.00986171 0.013667131 0.010590407 0.010104609 0.010590407 0.010282734 0.009375911 0.009505457 0.009764549 0.011270525 0.011918256 0.010120802 0.010347508 0.01055802 0.009926482 0.010363701 0.009796936 0.010962852 0.01395861 0.010525634 0.0097321635 0.010493248 0.010039835 0.009699777 0.012128769 0.01164297 0.011400071 0.011027626 0.012582181 0.009456878 0.0097321635 0.009359717 0.011707744 0.009052046 0.010396088 0.011205751 0.010169381 0.011723937 0.010525634 0.009829323 0.009133012 0.011335298 0.011108592 0.011610584 0.011902063 0.01386145 0.00971597 0.009570231 0.0123878615 0.010169381 0.009440684 0.009942676 0.010169381 0.010477054 0.009294945 6.5770054 0.0 0.0 0.0 40.0 2342912.0 2371584.0 0.0 0.0 5.0 1.0 1.0 0.0 0.0 0.0 1354311600.0 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 20.0 0.0 6.0 20.0 4.0 0.0 4.0 0.0 1925120.0 4096.0 4096.0 4.0 0.0 0.0 2.0 3.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -405504.0 0.0 0.0 -4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1925120.0 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 -7.961474 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7.9994407 0.0 3.416795 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -405504.0 0.0 0.0 -31964.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1925120.0 0.0 1824.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 120.0 2074541.0 1824.0 1961984.0 0.0 0.0 0.0 0.0 10.0 2074876.0 0.0 0.0 0.0 0.0 0.0 0.0 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: 0.23780012 0.010735897 0.006051142 0.013029475 0.00624634 0.0045383563 0.0024399767 0.008247121 0.02400937 0.0069295336 0.0031719694 0.0020495802 0.0047335546 0.0022447784 0.0015127854 0.013907867 0.011711888 0.0032695686 0.0025375756 0.0027815732 0.0048311534 0.0061975406 0.0012687878 0.0010735897 0.003855163 0.00082959206 0.0005855944 0.0012199883 0.002488776 0.00043919578 0.0004879953 0.0010247901 0.015176654 0.0012687878 0.0018543822 0.00209838 0.0056119463 0.0006343939 0.0005855944 0.00024399765 0.0018543822 0.0007807925 0.00053679483 0.0041479603 0.0016103846 0.0017567831 0.0011223892 0.001463986 0.012541479 0.0029767714 0.0022447784 0.006099941 0.0028791723 0.00209838 0.002830373 0.0016103846 0.002488776 0.002830373 0.00312317 0.005660746 0.00312317 0.00312317 0.0032695686 0.0017567831 0.018397423 0.003562366 0.0021471793 0.0012687878 0.003855163 0.011126293 0.0034647668 0.003757564 0.0042943587 0.0017079836 0.0006343939 0.0005855944 0.0022447784 0.008637517 0.0019031818 0.0035135662 0.0074663283 0.002830373 0.0026351747 0.0036599648 0.001561585 0.006051142 0.0050263517 0.003025571 0.0016103846 0.0013663869 0.0004879953 0.0016591841 0.0009759906 0.0020495802 0.002391177 0.0021471793 0.0039039624 0.005319149 0.0016103846 0.0041479603 0.0048311534 0.009564708 0.0047335546 0.00082959206 0.005709545 0.006392739 0.0038063636 0.0006343939 0.0048311534 0.00312317 0.004782354 0.005660746 0.0036599648 0.0009271911 0.0074663283 0.0070271324 0.010687097 0.008247121 0.003220769 0.001561585 0.0036599648 0.0012199883 0.0002927972 0.00053679483 0.0009759906 0.00312317 0.00082959206 0.00087839155 0.0019031818 0.002391177 0.0005855944 0.013127074 0.004684755 0.0060023423 0.0004879953 0.000731993 0.0019031818 0.015762249 0.0013175873 0.030938903 0.0005855944 0.0054655476 0.0004879953 0.00019519812 0.0005855944 0.0002927972 0.0001463986 4.879953e-05 0.0004879953 0.0002927972 0.00024399765 0.00034159672 0.00024399765 0.0001463986 0.0001463986 0.0004879953 0.00039039625 0.0001463986 0.00034159672 0.00019519812 0.0004879953 0.00034159672 0.000731993 0.00087839155 0.0011223892 0.00024399765 0.00024399765 0.0001463986 0.00087839155 0.0002927972 0.00053679483 0.00024399765 0.00034159672 0.0001463986 0.0001463986 0.0001463986 0.0010735897 0.00024399765 0.0002927972 0.00024399765 0.00039039625 0.0001463986 0.00522155 0.0016103846 0.002830373 0.00053679483 0.00039039625 0.00039039625 0.00024399765 0.00019519812 0.0009759906 0.00019519812 0.0064903377 0.0064903377 0.001463986 0.004977552 0.0013663869 0.00024399765 0.002830373 0.0057583447 0.004391958 0.002391177 0.0024399767 0.0011223892 0.003952762 0.00024399765 0.0020495802 0.0010247901 0.0015127854 0.0012687878 0.0017079836 0.0041479603 0.00087839155 0.00024399765 0.0011711888 0.0010247901 0.0027327738 0.00043919578 0.00043919578 0.0010735897 0.00087839155 0.00019519812 0.0006343939 0.00034159672 0.004684755 0.0012199883 0.0009271911 0.00043919578 0.0017567831 0.0012687878 0.00039039625 0.0004879953 0.006685536 0.0046359557 0.00082959206 0.0045871558 0.003562366 0.0002927972 0.0007807925 0.00053679483 0.0035135662 0.0013663869 0.00053679483 0.0005855944 0.0033183682 0.000731993 0.0014151864 0.0020007808 0.0054655476 0.0030743706 0.00087839155 0.0009271911 0.00522155 0.0006343939 0.001561585 0.024838962 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.074321546 0.0049856086 0.0034436677 0.0062962584 0.0023386101 0.002133018 0.003854852 0.0028011925 0.0010022615 0.00046258225 0.0007966694 0.0005653783 0.0006938733 0.00053967925 0.00046258225 0.0005653783 0.032946136 0.00416324 0.0014134457 0.0029553864 0.0014391447 0.0010279606 0.0033151726 0.0026212994 0.0006167763 0.00025699014 0.00033408718 0.00033408718 0.0004111842 0.00023129112 0.00033408718 0.00023129112 0.028320312 0.0022358142 0.0027240955 0.007684005 0.0014391447 0.0016961349 0.003726357 0.0034950657 0.00025699014 0.00010279605 0.00015419407 0.00015419407 0.00025699014 0.00012849507 0.00015419407 0.00010279605 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.050935443 0.0043945312 0.012309827 0.016601562 0.007658306 0.0050370065 0.029862253 0.017758017 0.004086143 0.00089946546 0.0012592516 0.0010279606 0.001927426 0.00089946546 0.0015419408 0.0016961349 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.08028372 0.0110248765 0.009714227 0.0085063735 0.031147204 0.016498767 0.010536595 0.013620477 0.04530736 0.0012078537 0.00182463 0.007863898 0.025647616 0.009945518 0.017398233 0.02526213 0.06471012 0.019351358 0.012284128 0.01248972 0.029836554 0.020482114 0.020199424 0.015753495 0.039165296 0.0013877467 0.0021073192 0.005319696 0.02007093 0.007529811 0.014314351 0.030787418 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 121.0 19.603306 2372.0 0.07967959 0.00042158517 0.010539629 0.00084317033 0.0021079257 0.00084317033 0.00042158517 0.0 0.00042158517 0.00042158517 0.0 0.00042158517 0.0012647555 0.01306914 0.0063237776 0.005902192 0.008431703 0.009274874 0.008431703 0.008853288 0.010118044 0.005480607 0.0071669477 0.0063237776 0.0063237776 0.010118044 0.005480607 0.002951096 0.0096964585 0.0067453627 0.013490725 0.005902192 0.0021079257 0.0067453627 0.0012647555 0.0033726813 0.0075885328 0.0042158514 0.005059022 0.010961214 0.002951096 0.008853288 0.00042158517 0.0012647555 0.0033726813 0.0042158514 0.0067453627 0.008431703 0.010961214 0.0012647555 0.002951096 0.0075885328 0.0016863407 0.00084317033 0.005480607 0.004637437 0.0042158514 0.00042158517 0.00042158517 0.0012647555 0.0042158514 0.0 0.00084317033 0.00042158517 0.0012647555 0.04005059 0.011804384 0.031197302 0.032462057 0.07419899 0.012647555 0.005902192 0.011804384 0.0455312 0.002951096 0.0037942664 0.033305228 0.023187185 0.037099496 0.041315347 0.020236088 0.0016863407 0.0455312 0.04173693 0.049325462 0.020236088 0.01222597 0.004637437 0.0071669477 0.008431703 0.0016863407 0.0021079257 0.0012647555 0.0021079257 0.00084317033 0.0 5.536447 1.0 0.0 0.0 1.0 20492.0 339968.0 1.0 0.0 27.0 1.0 1.0 0.0 0.0 0.0 1487979500.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 9.0 0.0 5.0 0.0 5.0 0.0 17408.0 1024.0 4096.0 4.0 1.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -1024.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -17408.0 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 -4.35085 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.3908043 0.0 5.2115307 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -307200.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -17248.0 0.0 964.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 40.0 20720.0 964.0 28672.0 0.0 0.0 0.0 0.0 568.0 32768.0 28.0 4208.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 112.0 4096.0 0.0 0.0 0.0 0.0


Input: 0.14263394 0.0086422935 0.0041916743 0.003428533 0.006249541 0.0039538927 0.0020317233 0.0019632522 0.007894091 0.0015125881 0.001704307 0.0015076083 0.0045800917 0.001374401 0.0012324792 0.0038953812 0.0061723553 0.0015076083 0.0011889067 0.00089759345 0.0024749178 0.001985661 0.0007693658 0.00082787743 0.0023118323 0.00075691653 0.00083285716 0.000713344 0.0016208969 0.00060628017 0.0005963207 0.0005676874 0.0038978711 0.00058885117 0.0006548324 0.00054527866 0.0041730003 0.001323359 0.00046684817 0.0005639526 0.0011889067 0.0006560773 0.00058636133 0.00094739057 0.0011104762 0.0023529148 0.00067973096 0.0005203801 0.0056694043 0.0026865557 0.003236814 0.010137453 0.003341388 0.0019122101 0.0027911298 0.0015959983 0.0038667477 0.001984416 0.00071832375 0.0014901793 0.0016756738 0.0009810036 0.00046809312 0.00053158443 0.0118380245 0.003950158 0.0049286718 0.00887634 0.0038904015 0.032741617 0.003286611 0.0027239034 0.0034023896 0.003567965 0.0022010335 0.002367854 0.0027251483 0.0044120266 0.0011664979 0.0015399766 0.0091103865 0.0021562162 0.0020678262 0.009811281 0.0032231198 0.013915811 0.0032405488 0.002107664 0.0019371087 0.0065508136 0.0027575165 0.0032778967 0.0015748346 0.004663502 0.0023915076 0.0036252318 0.005797632 0.0044456394 0.0017354303 0.0032853663 0.009328249 0.0061648856 0.003935219 0.0015661201 0.0079077855 0.0042713494 0.0037223361 0.0014067692 0.003514433 0.0017653086 0.004403312 0.004072161 0.0031733226 0.0017192463 0.004923692 0.0038854217 0.010251986 0.005588484 0.001705552 0.0011279052 0.002838437 0.001271072 0.0005340743 0.0005938309 0.0016632244 0.0025334295 0.0010693936 0.00088016444 0.0052760066 0.001165253 0.0010955371 0.009119101 0.0031409545 0.0032467735 0.0010407602 0.0006224642 0.002679086 0.015282742 0.0022470958 0.052047968 0.0012038458 0.011068659 0.00086273544 0.0006847107 0.0026728613 0.00044692933 0.0007320179 0.0006498527 0.0011303951 0.00094241084 0.0015213026 0.00057142216 0.0011814372 0.00059258594 0.0005029511 0.0007170788 0.00096232974 0.00047929745 0.00046809312 0.00042203075 0.00090257317 0.0033501026 0.00046933803 0.0025670426 0.0014329127 0.0008228977 0.0005676874 0.0004556438 0.0010532095 0.00046062353 0.00051291054 0.0004905018 0.000852776 0.00045315397 0.0007469571 0.00066230196 0.0013333184 0.00068969035 0.0017416549 0.00054029893 0.0008838992 0.00067475124 0.0007170788 0.0015897737 0.0031708328 0.0025508585 0.004680931 0.0008291224 0.0010071471 0.00048303226 0.00085900066 0.00071956863 0.012074561 0.0011565386 0.0023018727 0.010416317 0.004385883 0.0010656588 0.0035804142 0.0033899401 0.0018823318 0.001776513 0.0009897181 0.0013109096 0.0016931028 0.00089883833 0.0009984326 0.0009486355 0.0028932139 0.0011577834 0.002994053 0.0013619517 0.0018250651 0.0007731006 0.0016146722 0.00088140933 0.0033899401 0.0006585672 0.0010930472 0.0017989216 0.0015063635 0.00072330347 0.00056644244 0.00084779627 0.002454999 0.00066230196 0.0008838992 0.0009971877 0.0024487744 0.0024475295 0.00055399316 0.00069840485 0.027789293 0.0060652914 0.0011005168 0.005938309 0.006575712 0.0010494747 0.0006847107 0.00075940636 0.007290301 0.0009834935 0.0018288 0.00092498184 0.009197531 0.0021848495 0.004123203 0.002610615 0.010133718 0.0030737284 0.0030936473 0.003636436 0.014986449 0.004022364 0.004329861 0.06938609 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0017872466 0.0 0.0 0.0005207086 0.00024632324 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.011127574 0.0 0.0 0.004771811 0.0032577028 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00062734477 0.0 0.0 0.00037353826 0.00027625618 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0005543832 3.7416187e-06 1.808449e-05 6.734914e-05 0.00014966475 7.607958e-05 6.2360314e-06 7.4832374e-06 1.5590078e-05 0.0 0.0 1.8708093e-06 8.106841e-06 3.1180157e-06 4.988825e-06 0.00036044262 0.0061306423 0.00020703624 0.00021451947 0.0005537596 0.0019213213 0.0004907757 0.002460738 0.0010707265 0.00019581139 0.00010102371 9.291687e-05 7.545598e-05 0.0006753622 0.0003822687 0.00040284763 0.0029047434 0.013396866 0.0006448056 0.0009509948 0.0020928122 0.0041519497 0.0036287466 0.007004934 0.003227146 0.0004564775 0.0002369692 0.00031242517 0.00033238047 0.0020940593 0.0011106372 0.0011280981 0.009039127 0.02088634 0.0013101902 0.0012403466 0.0020896941 0.0073572695 0.0025754808 0.0067286775 0.00327454 0.0024052372 0.0009803041 0.0009821749 0.0013432412 0.004080859 0.0026646561 0.0026889767 0.009634668 0.020338193 0.0015708563 0.0012584311 0.0022805165 0.009481262 0.0040671397 0.005919241 0.0034273227 0.005845032 0.0014218151 0.0017891173 0.0023185564 0.0038850475 0.0017828813 0.0040683867 0.009728832 0.0744763 0.009878498 0.00732609 0.010144152 0.04232519 0.03079477 0.021437604 0.0140398005 0.051796477 0.0053243237 0.0060932264 0.009200017 0.016892785 0.007117806 0.027613146 0.06145297 0.06063605 0.010193417 0.009175696 0.011744942 0.028296616 0.030798512 0.017782044 0.014702068 0.050133325 0.005922359 0.0065235123 0.009208124 0.021231815 0.011006596 0.02524096 0.04883436 0.00023509839 4.8017442e-05 8.668083e-05 5.2382664e-05 9.104606e-05 9.97765e-05 4.365222e-05 6.610193e-05 0.00013532188 2.9309347e-05 3.367457e-05 2.9309347e-05 8.4810024e-05 6.0489503e-05 7.358517e-05 0.000107883345 5347.0 15.557696 83187.0 0.005625879 0.0001322322 0.00057701324 9.616887e-05 0.0034620794 0.00058903435 0.0001322322 0.00018031664 0.00040871772 0.00042073883 0.00075732986 0.00060105545 0.00051690766 0.014725858 0.0011660475 0.00048084435 0.02536454 0.01702189 0.02633825 0.012213447 0.021613954 0.014245015 0.022936275 0.01105942 0.025172202 0.01441331 0.00085349876 0.0005289288 0.0009857309 0.00055297103 0.00012021109 0.00014425331 0.0014064697 0.008811473 0.0076454254 0.014990323 0.00736894 0.016661257 0.0048805703 0.0031735727 0.005084929 0.018175917 0.002536454 0.0041232402 0.00704437 0.0068880953 0.0045800423 0.009520719 0.01333141 0.0027047496 0.00617885 0.021145131 0.013499705 0.006467357 0.0060947025 0.0036063327 0.0028730452 0.00552971 0.0015747653 0.003089425 0.0012021109 0.0028850662 0.0030052774 0.022924256 0.0002644644 0.031591475 0.012958756 0.027564403 0.026734946 0.054239243 0.011287821 0.010386238 0.019149628 0.035642587 0.007513193 0.0069962856 0.024366789 0.0121773835 0.038227126 0.035041533 0.018957289 0.002740813 0.03952541 0.02925938 0.042242177 0.011191652 0.009869331 0.00596247 0.013920444 0.006900117 0.0010818999 0.00030052772 0.00056499214 0.0002644644 0.00031254883 0.00032456993 5.773086 0.0 2.0 14.0 4.0 803259.0 3952640.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 2.0 -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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 25.0 4.0 0.0 4.0 0.0 1267200.0 1024.0 4096.0 8.0 2.0 0.0 1.0 4.0 0.0 0.0 0.0 0.0 0.0 -84992.0 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 -859648.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1267200.0 0.0 0.0 0.0 0.0 0.0 0.0 -12800.0 1672192.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.576816 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -48.0 0.0 0.0 -84528.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 24.0 0.0 31073.0 0.0 0.0 0.0 0.0 0.0 -859536.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1266868.0 0.0 0.0 0.0 0.0 0.0 0.0 -12546.0 1672153.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 12546.0 2166784.0 1672153.0 2277376.0 0.0 0.0 8384.0 3898368.0 84528.0 2191360.0 0.0 0.0 0.0 0.0 0.0 0.0 24.0 2187264.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0


Input: 0.49529296 0.022828197 0.030474935 0.002877483 0.0034947977 0.0017100612 0.0016652561 0.0015283517 0.0030890626 0.0015159058 0.0026833275 0.0011848459 0.002299995 0.0024916613 0.0010106039 0.0014437198 0.0032160103 0.0018718574 0.0009707771 0.0011450192 0.0016254294 0.0017449097 0.0008164485 0.001070344 0.0014760791 0.0009533529 0.0010056256 0.0010330065 0.0015980485 0.001055409 0.0008488077 0.00083387265 0.012189476 0.000925972 0.0018021606 0.00089610193 0.0020933938 0.0010504306 0.0005451287 0.00064718473 0.002095883 0.00114253 0.0005053019 0.00086125353 0.0013964255 0.00097575545 0.013747698 0.000607358 0.010661124 0.005366655 0.004425748 0.003833325 0.00396774 0.003965251 0.0025862497 0.0020112512 0.0027281325 0.0020286753 0.0013192613 0.00080151344 0.0011624434 0.001229651 0.0004903669 0.00055010704 0.00493105 0.0011400408 0.0006148255 0.0014860358 0.0018867925 0.0023174193 0.0010529198 0.0008861453 0.0014536765 0.0014387415 0.00036341912 0.000679544 0.0014287848 0.0010504306 0.0012246727 0.0010529198 0.0026061633 0.00080649176 0.0023970727 0.0019540002 0.0019689351 0.0011226166 0.0011350624 0.0013765122 0.0011176383 0.0007816 0.00061731465 0.0006446956 0.002083437 0.0007417733 0.000679544 0.0026385225 0.0012371185 0.0060188184 0.0031761837 0.007328123 0.016801912 0.011188828 0.0035196894 0.00679544 0.004672176 0.007781152 0.002964604 0.0021780257 0.009528551 0.0050206603 0.0069024744 0.0065739034 0.018681237 0.0012271618 0.008134615 0.012664908 0.011295863 0.0041195797 0.0021655797 0.0018867925 0.004184298 0.0031114651 0.0005077911 0.0004928561 0.0020311645 0.0010081147 0.00045302932 0.00041569173 0.0018917707 0.00055259623 0.00059242296 0.0019913376 0.0009583313 0.0015109275 0.00042067008 0.0003584408 0.0011201274 0.001359088 0.00030118984 0.0028998854 0.00083387265 0.0012968587 0.0002862548 0.00038831084 0.0016752129 0.00040075672 0.0003659083 0.0003908 0.00094837457 0.00040075672 0.00034848409 0.00043062677 0.0008637427 0.00042315925 0.00027878728 0.00034350576 0.0008562752 0.00043560512 0.00029870064 0.00043311596 0.0012196944 0.0005625529 0.0003385274 0.0005077911 0.0008985911 0.00059242296 0.0002688306 0.0003932892 0.000838851 0.00034599492 0.00026136308 0.00041818092 0.0009234829 0.0003559516 0.00035346244 0.0003733758 0.0011724001 0.0005077911 0.00027131976 0.00043062677 0.00093841786 0.0004903669 0.00026385224 0.000462986 0.0011948026 0.00037835416 0.00034599492 0.00041320256 0.0008214268 0.00044805097 0.00034101657 0.0004828994 0.002053567 0.00047543188 0.00066460896 0.00065465225 0.0008637427 0.00040324588 0.00046049684 0.0006870115 0.00090356945 0.0006048688 0.0002837656 0.00032359237 0.0016080051 0.0004555185 0.00032857072 0.00035097328 0.0011201274 0.00046796436 0.0003385274 0.00034350576 0.000823916 0.00044307264 0.0004455618 0.00048538856 0.0008911236 0.00042564844 0.00027629812 0.00043062677 0.00080151344 0.000375865 0.00023398218 0.00038582168 0.0012470753 0.00029621148 0.00027629812 0.00040573505 0.0008886344 0.0003659083 0.0002688306 0.00034350576 0.0020012944 0.0005600637 0.000303679 0.0007069249 0.0011948026 0.00045054016 0.00029123313 0.0003559516 0.0012346293 0.00043560512 0.00030118984 0.00052272616 0.0008587644 0.00037088664 0.00048787773 0.0005774879 0.0009185045 0.00093841786 0.000303679 0.0004903669 0.0012122268 0.0005301937 0.0005053019 0.012460795 0.11764581 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.2488011e-06 0.00496898 9.990409e-06 2.122962e-05 8.741608e-06 7.492807e-06 4.9952046e-06 3.7464035e-06 9.990409e-06 0.0 1.2488012e-05 4.9952046e-06 8.741608e-06 3.7464035e-06 7.492807e-06 1.2488012e-05 2.9971228e-05 0.004747942 2.9971228e-05 2.9971228e-05 2.9971228e-05 2.9971228e-05 1.9980818e-05 1.4985614e-05 2.247842e-05 9.990409e-06 1.9980818e-05 2.247842e-05 3.246883e-05 1.7483217e-05 2.7473625e-05 2.247842e-05 3.7464033e-05 0.033928677 0.0003196931 0.0003134491 0.00028098025 0.00028347786 0.00027973147 0.00028222907 0.00028722428 0.00028722428 0.0003234395 0.00029471706 0.00028222907 0.00029097067 0.00031220028 0.00030096108 0.00029596587 0.004250919 9.116248e-05 2.7473625e-05 2.6224825e-05 0.00013736813 0.00012862652 0.00014486094 0.00014735853 1.9980818e-05 1.9980818e-05 1.9980818e-05 1.9980818e-05 1.9980818e-05 1.9980818e-05 1.9980818e-05 2.122962e-05 0.04662399 0.0051912665 0.0017945273 0.00046705164 0.0014161405 0.0010727202 0.0006930846 0.00059318054 0.0004470708 0.00040086516 0.0004121044 0.00040461158 0.0004358316 0.00041085557 0.00044332442 0.00057444855 0.00775006 0.00048828125 0.0004495684 0.00012862652 8.242088e-05 9.865529e-05 0.00015360254 0.00012238251 9.4908886e-05 0.0001048993 9.740649e-05 0.00011738731 9.116248e-05 7.992327e-05 9.4908886e-05 0.00027598505 0.037434064 0.0005781949 0.0022515885 0.0034192177 0.00061815657 0.0006169078 0.0115426695 0.004855339 0.00031220028 0.00024351623 0.00023852102 0.00037464034 0.00047829084 0.00027723386 0.00025100904 0.0004470708 0.18642229 0.0019368905 0.020882454 0.028699948 0.002216622 0.0032206583 0.056754265 0.04080208 0.001513547 0.0013861692 0.0014835758 0.0015210398 0.0015435183 0.0012712795 0.0015460158 0.006855918 0.031389866 0.0024851144 0.0039586998 0.0012800212 0.0030096108 0.003617777 0.011813659 0.00903133 0.0009765625 0.0003059563 0.00067310384 0.0006231518 0.00069058704 0.00052699406 0.00051575486 0.00071306544 0.06212411 0.003529112 0.0063776276 0.0048341095 0.0062427567 0.005413553 0.011550162 0.008962646 0.0036190257 0.0034491888 0.0027723385 0.0026099945 0.0025850183 0.0030071132 0.0028722426 0.0030433284 0.020059492 0.0019306466 0.0017483216 0.0031682085 0.003095778 0.0016059583 0.003422964 0.0021491868 0.0013324708 0.0013986573 0.00094784005 0.0010914522 0.0010902034 0.00089289283 0.0009778113 0.001123921 0.0028048074 0.0003109515 0.00059068296 0.00020355459 0.00035590833 0.00036714753 0.00078799354 0.0007730079 0.00034217152 0.00012363131 9.865529e-05 0.00011613851 0.00014985613 9.990409e-05 0.000219789 0.0003284347 0.007914902 0.001865709 0.0013886669 0.0020954884 0.0027024057 0.003404232 0.0018145081 0.0021404452 0.0041909767 0.0004370804 0.00060691737 0.0008616728 0.0021429427 0.000615659 0.0011214234 0.0050601424 0.006995784 0.0023240189 0.0014411166 0.002161675 0.0026287264 0.0026724346 0.0025463055 0.002317775 0.0035203705 0.0005719509 0.0008741608 0.0008179647 0.0014923174 0.0006818454 0.0014785805 0.0032806005 0.00035465954 0.00016609055 0.00020105699 0.00026474585 0.00012488011 0.00012488011 0.0003171955 0.00025975064 0.00012363131 9.3660085e-05 0.0001024017 7.992327e-05 9.740649e-05 7.4928066e-05 7.3679264e-05 9.865529e-05 1567.0 22.33695 35002.0 0.115364835 0.0007713845 0.012142164 0.0009428033 0.0007713845 0.0026855608 0.00048568653 0.00042854695 0.00837095 0.0069138906 0.00039997714 0.0012285012 0.0052568424 0.0021998743 0.014942003 0.0023427233 0.010542255 0.0044283182 0.0030283984 0.0028855493 0.0031712474 0.0012856409 0.0021427346 0.0018284669 0.0018570367 0.0019713158 0.0106279645 0.001114222 0.0014856294 0.0072281584 0.0015713387 0.0013427804 0.003371236 0.0077709844 0.0029141193 0.009913719 0.0062282155 0.01268499 0.0044283182 0.0052282726 0.003485515 0.011056511 0.00025712815 0.003485515 0.003056968 0.0041426206 0.008685218 0.0066567627 0.0058282386 0.00054282614 0.009456603 0.010227987 0.009685161 0.0020284555 0.0032569568 0.0045711673 0.0018856066 0.0005142563 0.0006285355 0.0021141649 0.011685046 0.0020284555 0.00037140734 0.014913433 0.0005142563 0.031826753 0.0072281584 0.024427176 0.027484143 0.072138734 0.0155134 0.008628079 0.013627793 0.038654935 0.0031998171 0.0050854236 0.023341523 0.014713445 0.032883834 0.04359751 0.025398549 0.0019998858 0.050025713 0.05036855 0.052854124 0.0167419 0.0050854236 0.009456603 0.0073138676 0.007942404 0.0013427804 0.0013427804 0.00054282614 0.0013142106 0.00034283756 0.00019998857 5.4470673 75.0 9.0 0.0 3.0 401740.0 32768.0 0.0 0.0 55.0 0.0 1.0 0.0 0.0 0.0 1280658800.0 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 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 2.0 50.0 4.0 0.0 4.0 0.0 12800.0 1024.0 4096.0 6.0 1.0 0.0 3.0 3.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 512.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2048.0 0.0 0.0 0.0 0.0 -2048.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6656.0 0.0 1024.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.18415065 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.9906063 0.0 0.0 0.0 0.0 -4.829645 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.1421833 0.0 4.1274257 0.0 0.0 0.0 0.0 0.0 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 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 -4096.0 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 -8192.0 0.0 4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 2.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 140.0 20604.0 700.0 24576.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 244.0 20988.0 0.0 0.0 0.0 0.0