Input: 0.14264348 0.009045754 0.0145736085 0.0054833367 0.008556998 0.0029476844 0.0028813803 0.0031134442 0.011507524 0.0060042967 0.0023774703 0.0021113073 0.0054388186 0.0020270066 0.0018612467 0.0051650777 0.007502766 0.0018801907 0.002033637 0.0013005047 0.003069873 0.0018782963 0.001397119 0.0011792631 0.0027355116 0.0012171512 0.0012512503 0.0012370424 0.0026909932 0.001135692 0.0011754744 0.0013469175 0.0033426664 0.0011139064 0.0013649142 0.0012029432 0.004572131 0.0017494771 0.0012796663 0.0011375864 0.0020923633 0.0011489528 0.0011233784 0.0013914359 0.001975858 0.0010902265 0.0010911736 0.00088184257 0.004779568 0.0033417193 0.0033057255 0.007874068 0.0042936546 0.0029240043 0.0030585066 0.0029306347 0.0042131427 0.0029145323 0.003492324 0.0040947427 0.004415843 0.0033303527 0.0031162857 0.0032015338 0.012873386 0.0036561894 0.0053459927 0.0070878924 0.006611451 0.014639913 0.0053374683 0.0030812393 0.0048259804 0.003978237 0.002907902 0.0023310576 0.010414457 0.0035245286 0.0023604208 0.0019493361 0.007857965 0.0028056044 0.0028018155 0.0074260426 0.003610724 0.0071267276 0.004106109 0.0030244074 0.002033637 0.004324912 0.0024788207 0.0038569956 0.0019891185 0.0030717675 0.003370135 0.0022353905 0.001710642 0.006423906 0.0018773491 0.0032763625 0.0074913995 0.0124708265 0.0049112285 0.0026493166 0.0053355736 0.0053279963 0.0031967978 0.0014927861 0.0064191697 0.002965681 0.0065176785 0.0065801935 0.003668503 0.0011423224 0.00661524 0.00531663 0.015064258 0.0061425874 0.0017115892 0.0019635442 0.003211953 0.0021937136 0.0013241847 0.0013696502 0.0023395824 0.0019597553 0.0016500212 0.0017134836 0.005493756 0.0020592113 0.0013582838 0.007289646 0.0036012519 0.004251978 0.0012019959 0.0012995575 0.00273267 0.008847789 0.0011101176 0.039267097 0.0016414964 0.00632445 0.001178316 0.0012247288 0.0030547178 0.0010049784 0.0012038903 0.001192524 0.0016092916 0.0012777719 0.0009576185 0.0009453049 0.0015553012 0.0010959096 0.00092920254 0.0012777719 0.0022647537 0.0010476025 0.0012228343 0.0011375864 0.001929445 0.0025110254 0.000987929 0.0013118711 0.0014823669 0.0014094326 0.0010229753 0.0010873848 0.0014189046 0.0010021369 0.0009310969 0.0009244665 0.0014482677 0.00089983933 0.0009396217 0.0009595129 0.0027402476 0.0009595129 0.0016907508 0.001112012 0.0014567926 0.0009566713 0.0018773491 0.001658546 0.0024731373 0.0015193077 0.0018262003 0.0012673527 0.001938917 0.0010163449 0.0012957687 0.0011678968 0.008999341 0.0012076792 0.0019142898 0.008990816 0.0032763625 0.00107886 0.0038276324 0.0027393005 0.0020355314 0.0017257972 0.0011034872 0.0011906296 0.002186136 0.0010021369 0.0011499 0.0011991543 0.002603851 0.0012645111 0.002357579 0.001962597 0.0017987315 0.0011726328 0.0017883123 0.0014691062 0.0039100386 0.0013023991 0.0015837173 0.0023395824 0.0019398642 0.0012323064 0.0011394807 0.001378175 0.0022647537 0.0010523384 0.0012919799 0.0012749303 0.002161509 0.0014416374 0.0010466552 0.0010921208 0.017692735 0.0030281963 0.0013895414 0.0044944608 0.003739543 0.0012256759 0.0012531447 0.0014103798 0.0047814623 0.0011896824 0.0017343219 0.0011745271 0.0040748515 0.0014653173 0.0028074987 0.0019000819 0.009947487 0.0023376879 0.002271384 0.0028245484 0.008524794 0.0022297073 0.004287024 0.03814277 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00081917475 8.53307e-06 1.9436438e-05 6.6368325e-06 2.5125151e-05 4.7405947e-06 3.7924758e-06 5.6887134e-06 2.3228913e-05 3.7924758e-06 7.110892e-06 5.6887134e-06 8.53307e-06 2.8443567e-06 1.0903368e-05 1.5643962e-05 0.0009850956 0.0 0.0 0.0 0.000478326 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.000478326 0.004427241 3.9346934e-05 2.654733e-05 3.3658223e-05 0.0015184125 1.801426e-05 7.5849515e-05 2.9391687e-05 5.49909e-05 1.04293085e-05 2.7969509e-05 3.7450696e-05 2.0384558e-05 1.1377427e-05 1.4221784e-05 0.0014217043 0.004815022 0.0001332107 2.3702973e-05 1.9436438e-05 0.0010713744 0.00022375607 0.0014800136 0.0005826191 2.4651092e-05 1.2799605e-05 3.4606343e-05 0.0001204111 2.3228913e-05 4.408753e-05 3.3184162e-05 0.0010666338 0.007199541 0.00046363016 0.00011092991 0.00018962378 0.0027490708 0.0011491202 0.006577101 0.003964559 0.00022660043 7.9167934e-05 0.00018677943 0.00012799606 0.00015169903 7.490139e-05 8.912318e-05 0.0009320009 0.011941558 0.00068596407 0.00019152003 0.0003308935 0.0031155187 0.00088127656 0.0044841287 0.002166926 0.00038920282 0.00045888955 0.00018203883 0.00029059846 0.0002024234 0.00036312954 0.00014790655 0.0013524917 0.050163075 0.003124526 0.0010135391 0.0012287621 0.01588905 0.0044992985 0.020382186 0.010316956 0.0027414858 0.0015288418 0.001522205 0.0014150675 0.0016013728 0.0010083244 0.00088838744 0.0040361425 0.0358242 0.0041266875 0.0032473074 0.034987483 0.013426786 0.0049240557 0.013601714 0.008229198 0.004567563 0.00307712 0.0028884443 0.0029510201 0.0035113585 0.003133533 0.0035412242 0.0055351183 0.011410138 0.0008243894 0.0007750872 0.0006584686 0.004000588 0.001817544 0.0035104104 0.0018986082 0.0017744045 0.00048780718 0.00044656402 0.0006575205 0.0010955514 0.0004911256 0.00089644647 0.0022650561 0.031158032 0.004392161 0.0034644266 0.0038413038 0.012710009 0.01092233 0.0070824483 0.006495563 0.019269096 0.002255101 0.0017611309 0.0030633723 0.007000436 0.0042636907 0.008854956 0.019097012 0.05843162 0.010813297 0.009263596 0.011140872 0.027439035 0.029354237 0.012748881 0.014692999 0.051077537 0.0050008534 0.004773779 0.0075456044 0.02110086 0.010819933 0.022475159 0.044098433 0.008395119 0.008433518 0.00842214 0.008883874 0.00855061 0.008352454 0.008729805 0.009019455 0.008802336 0.008874393 0.008452481 0.008762041 0.008919429 0.008965413 0.008886245 0.009356512 11618.0 10.766225 125082.0 0.0036536031 0.0009193969 0.0010952814 0.0009353864 0.0042052413 0.0009833549 0.0013910874 0.0013591084 0.0030300124 0.0010233287 0.0013910874 0.0010153339 0.0032218865 0.001734862 0.0015909564 0.0009353864 0.010001439 0.008210613 0.0086902995 0.00867431 0.010489119 0.008714284 0.008210613 0.00785085 0.009825555 0.0076669706 0.00865832 0.007922803 0.010720967 0.007994755 0.008330535 0.008210613 0.0037815194 0.008642331 0.007882829 0.018092131 0.013239315 0.008306551 0.014574439 0.0055403654 0.008978111 0.010265266 0.001471035 0.00211861 0.0075390544 0.0076669706 0.0047648745 0.007251243 0.009961465 0.0024384004 0.0077069444 0.0137829585 0.01634128 0.005324507 0.0048128427 0.0059960666 0.003141939 0.0047249002 0.0021985578 0.0042691994 0.0027581907 0.0039494094 0.0043891207 0.0043251626 0.0029020961 0.043435507 0.0076429863 0.017588463 0.02353656 0.08042724 0.00653971 0.0137829585 0.014190691 0.035096977 0.0021985578 0.0052205753 0.030340096 0.01583761 0.04522633 0.046073776 0.016381254 0.0012631713 0.044258967 0.03300235 0.066940084 0.0161574 0.006123983 0.0070593692 0.0074910857 0.007251243 0.0026382692 0.0010313235 0.0027182167 0.0007994755 0.001079292 0.00087142835 5.7830834 0.0 0.0 0.0 5.0 1055744.0 1179648.0 0.0 0.0 493.0 1.0 1.0 0.0 1.0 0.0 1362695200.0 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 5.0 0.0 5.0 0.0 778752.0 1024.0 4096.0 10.0 2.0 0.0 2.0 5.0 0.0 0.0 0.0 0.0 0.0 -70656.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 512.0 -3584.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -10240.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -775168.0 -13824.0 256000.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -10.592188 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.163891 -6.1756477 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.188525 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.461322 -5.25462 7.8760343 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -60.0 0.0 0.0 -70250.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 24.0 -3304.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 21244.0 0.0 0.0 -9884.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -775120.0 -13340.0 256000.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 -1.0 -1.0 2.0 0.0 0.0 1.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 1.0 1.0 1.0 -1.0 0.0 1.0 0.0 1.0 0.0 -1.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 2.0 -2.0 -1.0 2.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 2.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 3.0 0.0 0.0 0.0 -1.0 2.0 0.0 3.0 0.0 -1.0 0.0 -1.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 1.0 1.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -4.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 1.0 -1.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 2.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 1.0 1.0 0.0 0.0 -1.0 2.0 0.0 -2.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 1.0 -3.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 -2.0 2.0 0.0 0.0 1.0 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 -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 1.0 0.0 0.0 0.0 0.0 3.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -2.0 1.0 0.0 1.0 0.0 0.0 -1.0 0.0 -1.0 1.0 1.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 -1.0 -2.0 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 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 -3.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 1.0 1.0 0.0 0.0 0.0 1.0 1.0 -2.0 1.0 0.0 1.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -2.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -2.0 0.0 0.0 -1.0 -1.0 1.0 0.0 0.0 -1.0 0.0 -2.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 -1.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 1.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -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 -1.0 0.0 0.0 0.0 0.0 1.0 1.0 1.0 0.0 -1.0 0.0 0.0 1.0 1.0 0.0 1.0 1.0 0.0 0.0 1.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 2.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 -3.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 1.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 -1.0 -1.0 0.0 0.0 -1.0 0.0 0.0 2.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 1.0 2.0 0.0 1.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 1.0 -1.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 -1.0 0.0 0.0 -1.0 0.0 -1.0 2.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 2.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -3.0 -1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 2.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 2.0 1.0 -1.0 0.0 2.0 0.0 0.0 -1.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 -2.0 -2.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 1.0 0.0 -1.0 0.0 0.0 2.0 0.0 2.0 1.0 1.0 0.0 -1.0 0.0 1.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 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 0.0 -1.0 0.0 1.0 -1.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 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 1.0 -2.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 1.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 1.0 -2.0 0.0 0.0 1.0 0.0 1.0 -1.0 0.0 1.0 0.0 -2.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 -1.0 -1.0 -1.0 0.0 0.0 -1.0 0.0 -2.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 13340.0 823296.0 256000.0 921600.0 0.0 0.0 0.0 0.0 69444.0 851968.0 0.0 0.0 0.0 0.0 0.0 0.0 24.0 847872.0 0.0 0.0 0.0 0.0 2044.0 825720.0 806.0 839680.0 0.0 0.0


Input: 0.05666505 0.008304138 0.0061745266 0.0056527355 0.0057521244 0.004963226 0.0042043515 0.0054135816 0.005039838 0.005623747 0.003749855 0.004456965 0.004955979 0.0031866522 0.0043254816 0.004642283 0.0050439797 0.0037581373 0.0049404497 0.0041525867 0.004358611 0.0031773343 0.0041111745 0.0038471732 0.0050740032 0.0033429824 0.0031721578 0.0029226507 0.0041411985 0.003452724 0.0037891965 0.0037923025 0.0061641736 0.0038130083 0.003486889 0.0030158276 0.0048928256 0.004173293 0.003853385 0.0037260433 0.0047292486 0.0038968676 0.0033326293 0.0030955458 0.004374141 0.0037074077 0.003732255 0.0035790305 0.0055108997 0.0039486326 0.0031058986 0.0029019448 0.0036856665 0.003075875 0.0026959202 0.0028594974 0.004160869 0.0033264176 0.003525195 0.0033398764 0.0040128212 0.0032197817 0.003504489 0.0034547946 0.006594858 0.003949668 0.0036163013 0.0032239228 0.004157763 0.0032197817 0.0035376186 0.0030810516 0.0050056735 0.00378402 0.0037136197 0.0035883484 0.00412981 0.0031245342 0.0035479716 0.0034589358 0.0051640742 0.0036266544 0.0036411486 0.0033336647 0.0039268914 0.0033843943 0.0033605825 0.0035448656 0.00464746 0.003646325 0.0038099024 0.0035169127 0.0041070334 0.0033823238 0.0036867019 0.0037902317 0.005912596 0.0036349369 0.0033429824 0.002957851 0.0040128212 0.003052063 0.0032756878 0.0030334278 0.004969438 0.0031607696 0.003189758 0.003052063 0.0035748894 0.0028336148 0.0030841574 0.003200111 0.004496306 0.003293288 0.0032218522 0.0031473108 0.00388755 0.0033253822 0.003290182 0.0036256192 0.0046184715 0.0032984645 0.0034775713 0.0031597342 0.0040418096 0.003197005 0.0034651477 0.0033440175 0.008644751 0.0045874123 0.0040273154 0.0035231244 0.004371035 0.0034289123 0.003027216 0.003404065 0.004541859 0.0038337144 0.0029640626 0.003192864 0.003721902 0.0027973794 0.0028491444 0.002975451 0.005232404 0.0032021815 0.0034858536 0.0030251453 0.0036691017 0.003179405 0.0033057116 0.0032705113 0.004548071 0.0028398267 0.0030406748 0.0027073084 0.0035138067 0.0032290993 0.0029899452 0.003152487 0.0050067087 0.0034092416 0.0032674056 0.0027911677 0.003770561 0.0030085805 0.0030489573 0.0031887228 0.0041411985 0.00300651 0.0031131457 0.0030210041 0.0036452897 0.0028325797 0.0029216155 0.0030406748 0.0046671303 0.003114181 0.003839926 0.0028491444 0.0035645363 0.003151452 0.0029889098 0.0031255693 0.004257152 0.0031462754 0.0033347 0.0031773343 0.0036639252 0.0031887228 0.0033295234 0.003355406 0.0067159883 0.0040594097 0.0037198314 0.003345053 0.0041173864 0.0032498054 0.003306747 0.0032301347 0.004333764 0.0033264176 0.0031131457 0.0030831222 0.0036452897 0.0029837333 0.0030748397 0.0028046265 0.004254046 0.0032715467 0.0030779457 0.00300651 0.0037032666 0.00300651 0.0029319683 0.0029423214 0.0039827973 0.003102793 0.002726979 0.0026482963 0.0035396894 0.0029537098 0.00359456 0.0028791681 0.004959085 0.003244629 0.003390606 0.0029713097 0.0038109377 0.0030717338 0.0031980404 0.002899874 0.0044404 0.0054415343 0.0034692888 0.0031431695 0.0037985141 0.0030748397 0.0032498054 0.0032011464 0.0046164007 0.0033119232 0.0034258063 0.003052063 0.0037436432 0.0030810516 0.003313994 0.0032342758 0.004351364 0.0030417102 0.0031845814 0.0028760622 0.0040138564 0.0030945104 0.0042312695 0.0045139063 0.011667952 0.0 0.0 0.0 0.0 0.0 1.0366906e-06 3.1100717e-06 0.0 1.0366906e-06 2.0733812e-06 0.0 0.0 1.0366906e-06 0.0 1.0366906e-06 0.0020516105 4.1467624e-06 2.0733812e-06 6.2201434e-06 5.1834527e-06 1.0366906e-06 3.1100717e-05 1.1403596e-05 0.0 0.0 1.0366905e-05 0.0 0.0 0.0 0.0 0.0 0.0009501269 2.5917263e-06 6.2201434e-06 1.29586315e-05 9.330215e-06 5.701798e-06 5.1834526e-05 2.2807191e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0028617843 3.5765825e-05 2.7990645e-05 1.0885251e-05 2.2288847e-05 3.4729135e-05 4.250431e-05 1.8142086e-05 3.5765825e-05 5.1834527e-06 9.848561e-06 1.6068703e-05 2.643561e-05 7.2568337e-06 1.7105394e-05 1.29586315e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00087963196 1.1921941e-05 1.2440287e-05 8.293525e-06 1.3476977e-05 1.6068703e-05 1.3476977e-05 1.1403596e-05 1.0885251e-05 1.3476977e-05 6.7384885e-06 1.3476977e-05 1.1921941e-05 1.0366905e-05 1.8142086e-05 9.848561e-06 0.0016244941 6.5311506e-05 5.701798e-05 4.8724454e-05 4.7687765e-05 3.058237e-05 2.2807191e-05 0.0005546294 3.0064026e-05 1.7105394e-05 1.9697121e-05 0.0002773147 2.073381e-05 0.00027420465 1.658705e-05 7.775179e-05 0.0007427888 3.732086e-05 3.421079e-05 2.073381e-05 2.2288847e-05 1.7105394e-05 1.3995323e-05 1.1921941e-05 1.658705e-05 2.2807191e-05 1.9178775e-05 1.7623739e-05 6.7384885e-06 4.6651076e-06 2.2807191e-05 5.0797837e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0013181521 3.732086e-05 4.3022657e-05 6.012805e-05 4.250431e-05 3.1619064e-05 9.174711e-05 5.8573016e-05 3.9394243e-05 5.7536326e-05 4.4059347e-05 4.3022657e-05 7.827014e-05 7.775179e-06 8.8118695e-06 0.00016120537 0.0011688686 6.945827e-05 4.613273e-05 4.613273e-05 3.835755e-05 3.7839207e-05 4.7687765e-05 6.012805e-05 5.2352872e-05 5.0797837e-05 6.842158e-05 5.1834526e-05 7.516007e-05 1.4513667e-05 4.4059347e-05 0.00025139746 0.0045806174 0.00029234673 0.00027109458 0.00026746615 0.00030271366 0.0002405122 0.0003275942 0.0003021953 0.00033329602 0.00034832803 0.00033018595 0.00035454816 0.0005183453 0.00015705862 0.00018815933 0.0007396787 0.0031966353 0.0002736863 0.00030064027 0.00024880574 0.00028871832 0.00028249816 0.00034314458 0.0009335398 0.0004074194 0.0003514381 0.00032448414 0.00066918373 0.00046288234 0.00043541004 0.00017468235 0.0008609715 0.0022511736 0.00018193919 0.00029027337 0.0002451773 0.00029856688 0.00029493845 0.00028560826 0.0004027543 0.0004431852 0.00032292912 0.000246214 0.0003172273 0.00046080895 0.00016172373 0.00018971437 0.0010387639 0.0003446996 5.4426255e-05 4.3022657e-05 4.509604e-05 5.4426255e-05 4.820611e-05 5.338956e-05 5.1834526e-05 7.0494956e-05 4.820611e-05 3.835755e-05 4.92428e-05 4.4577693e-05 2.643561e-05 4.1985968e-05 4.716942e-05 0.09915634 0.062024157 0.062456977 0.055322472 0.060618926 0.059559945 0.05496222 0.05447187 0.060491413 0.053169783 0.052125838 0.052959856 0.056426547 0.05053348 0.05665825 0.05386022 4025.0 5.703354 22956.0 0.017119708 0.0104112215 0.009365743 0.00871232 0.013416972 0.012502178 0.011805193 0.011500262 0.012589301 0.009714236 0.008538073 0.008625196 0.013852588 0.010585468 0.011848754 0.009975606 0.01668409 0.011935878 0.00871232 0.0074925944 0.009801359 0.00845095 0.0077975257 0.0083202645 0.010324098 0.008407388 0.009627113 0.008843004 0.011500262 0.008973689 0.009583551 0.009191497 0.018034501 0.010846837 0.0104112215 0.009147936 0.010846837 0.008886565 0.010716152 0.00845095 0.014244642 0.011587384 0.009757797 0.008973689 0.0114567 0.009365743 0.011630946 0.009583551 0.014767381 0.009583551 0.009975606 0.008973689 0.012066562 0.009322181 0.009583551 0.009844921 0.013678341 0.009235058 0.010541907 0.009583551 0.01119533 0.009844921 0.0104112215 0.010672591 0.018034501 0.0109775225 0.009714236 0.008146019 0.013068479 0.008233142 0.009365743 0.0083202645 0.015420805 0.009322181 0.008886565 0.008668758 0.011326015 0.008015334 0.009932044 0.008058895 0.013199164 0.007971772 0.00871232 0.00875588 0.0114567 0.009452866 0.008102457 0.00792821 0.010890399 0.008930127 0.012023001 0.008494511 0.011326015 0.008973689 0.010019167 0.008843004 6.5546627 0.0 0.0 0.0 14.0 965904.0 2072576.0 0.0 0.0 2.0 0.0 1.0 0.0 0.0 0.0 1504401000.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 40.0 1.0 6.0 0.0 4.0 0.0 4.0 0.0 192512.0 4096.0 4096.0 6.0 0.0 0.0 4.0 6.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 94208.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 831488.0 0.0 0.0 16384.0 0.0 0.0 4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -0.7120981 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 7.959737 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.042169247 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 7.86137 0.0 0.0 7.523454 0.0 0.0 0.22095801 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 204800.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 995328.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 831488.0 0.0 0.0 27980.0 0.0 0.0 4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 3.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 149.0 237677.0 27980.0 208896.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0


Input: 0.06686461 0.0007324219 0.0006354837 0.00045477174 0.0006043677 0.0004451976 0.000639074 0.0004966586 0.00062949985 0.00044280407 0.000556497 0.00052538107 0.00048349416 0.0005648744 0.00051820045 0.00061035156 0.0008808211 0.0004799039 0.0004236558 0.00040690103 0.00049905217 0.000674977 0.000489478 0.00048229742 0.0005684647 0.0004009172 0.0004523782 0.0005098231 0.0005038392 0.0005313649 0.00048110064 0.00044400085 0.0005684647 0.0005529067 0.00063309015 0.0011536841 0.0020524568 0.00056966144 0.00050144567 0.000690535 0.0005086263 0.0004487879 0.0004080978 0.00055170996 0.0006414675 0.00048110064 0.00055530027 0.00041527842 0.0005947936 0.00049546186 0.00056966144 0.00041886873 0.00060317095 0.00042006548 0.00062949985 0.0005170037 0.00065582874 0.0005313649 0.00048110064 0.0006438611 0.0005624808 0.00048828125 0.00066181255 0.0005792356 0.004194671 0.0006007774 0.00045477174 0.00052418426 0.0011453067 0.0005983839 0.000453575 0.0006833544 0.0005529067 0.00044160732 0.00052777457 0.0005325617 0.00069651887 0.00041408165 0.00041647517 0.00059958064 0.00056726794 0.012317134 0.0005086263 0.00055051316 0.0007659314 0.0006019742 0.00052777457 0.005307665 0.00062590954 0.0006977156 0.0005684647 0.00054452935 0.00053974224 0.0006713867 0.00065582874 0.0005912033 0.000536152 0.00050742953 0.00044998468 0.76621383 0.0005325617 0.0020165537 0.00054452935 0.0012601964 0.0018873027 0.00060317095 0.0012434417 0.00042604932 0.00056966144 0.00049546186 0.0006211225 0.00051461015 0.00045836205 0.0008784275 0.0012278837 0.00050144567 0.00062949985 0.00045836205 0.0004344267 0.003504136 0.00056367763 0.0011812098 0.00048110064 0.00054452935 0.00044759116 0.0006462546 0.00064266426 0.0005912033 0.0006677964 0.0005588906 0.00052179076 0.00074079924 0.0007647346 0.0005983839 0.00040570428 0.00043682024 0.00071088003 0.0011488971 0.0005062328 0.0010746975 0.0006127451 0.0005624808 0.0004487879 0.0005600873 0.00052538107 0.0005816291 0.000623516 0.0006151386 0.0005864162 0.00052538107 0.00047631358 0.00041408165 0.00054692285 0.00042844287 0.0005612841 0.0004344267 0.0005229875 0.0005002489 0.00048110064 0.00051820045 0.0005588906 0.0005828259 0.0005457261 0.00067018997 0.00046673944 0.0004308364 0.00050144567 0.0004906748 0.00045836205 0.00050742953 0.00048588772 0.00051101984 0.00069173175 0.0005947936 0.00054811966 0.0004715265 0.0004799039 0.0003973269 0.00056367763 0.00038775275 0.000536152 0.000536152 0.0005588906 0.0005385455 0.00046913297 0.00044400085 0.0004906748 0.00057803886 0.00044759116 0.00040570428 0.00044998468 0.0004978554 0.0005924 0.0005385455 0.00049546186 0.00043921376 0.0004679362 0.0004978554 0.0006091548 0.0006510417 0.00056367763 0.00045836205 0.00047272327 0.000422459 0.00051820045 0.00041527842 0.00059958064 0.00038894953 0.000623516 0.00051820045 0.00046673944 0.00056726794 0.00047631358 0.00037578508 0.00036501416 0.00042963962 0.0004308364 0.00044280407 0.00068455114 0.0005588906 0.0005864162 0.00046913297 0.000386556 0.00044759116 0.0006151386 0.0004942651 0.00046913297 0.0003817689 0.0007048962 0.0004942651 0.00056726794 0.00039852367 0.00048708447 0.00045596852 0.00047751033 0.00046314913 0.00048349416 0.00044759116 0.0004799039 0.0004799039 0.0006007774 0.00041168812 0.0005229875 0.00048349416 0.00043562346 0.00036262063 0.00046913297 0.00035065296 0.0005792356 0.00055051316 0.00042485257 0.00037578508 0.00041767195 0.00040570428 0.0004787071 0.0008030312 0.011053729 4.1938265e-06 8.387653e-06 6.590299e-06 4.1938265e-06 5.991181e-06 0.6281352 3.5947087e-06 6.590299e-06 4.1938265e-06 4.1938265e-06 7.788535e-06 3.5947087e-06 6.590299e-06 4.1938265e-06 4.7929448e-06 2.875767e-05 2.815855e-05 2.2766488e-05 1.857266e-05 1.9171779e-05 2.3964723e-05 0.008237274 2.2766488e-05 2.1568252e-05 2.4563842e-05 2.2766488e-05 2.3964723e-05 2.3365606e-05 2.516296e-05 2.3365606e-05 2.2766488e-05 7.6088e-05 7.8484474e-05 7.0096816e-05 7.788535e-05 7.129506e-05 7.908359e-05 0.016025212 6.7101224e-05 8.8669476e-05 7.4889766e-05 8.447565e-05 7.4889766e-05 7.249329e-05 9.28633e-05 7.069593e-05 7.3691524e-05 0.0034149732 8.148006e-05 7.129506e-05 7.968271e-05 8.327742e-05 8.567389e-05 0.007911953 9.0466834e-05 5.5118864e-05 5.4519747e-05 6.29074e-05 5.63171e-05 5.9312693e-05 6.530387e-05 4.4334738e-05 5.332151e-05 0.0031639426 0.00013180598 0.00013000863 0.00015277512 0.0002084931 0.00018153279 0.010809288 0.00019051955 0.00012701303 0.00012461656 0.00012401745 0.00014019363 0.000117427146 0.000115629795 0.00012281921 0.000110836845 0.0010358752 0.0001389954 0.00015936542 0.000152176 0.00017254602 0.00033011407 0.010165836 0.00020070457 0.00014318923 0.00015337423 0.00016296012 0.00013719805 0.00013120686 0.00013839628 0.00014378835 0.00013120686 0.0043741614 0.00021029045 0.00022287194 0.0001857266 0.00029536523 0.0018980062 0.008021592 0.00062727666 0.0002252684 0.00017494248 0.00017434337 0.00015337423 0.00016475748 0.00015636982 0.00016116277 0.0001324051 0.021604797 0.0003414973 0.001085602 0.0004373562 0.001019699 0.014943204 0.020158527 0.004620399 0.00047569978 0.00040620207 0.00040021088 0.0003972153 0.00039841354 0.00041339148 0.0003840347 0.00039841354 0.0006164925 0.00053800805 0.000573356 0.00060510926 0.0005164398 0.0006063075 0.01847081 0.0005457966 0.0005559816 0.0006224837 0.0005829419 0.0005739551 0.00055837806 0.0005619728 0.0005535851 0.000512246 0.0037636599 0.0004235765 0.0004235765 0.00047809625 0.0010388708 0.0005254266 0.008078508 0.00046311828 0.00045652798 0.0003744488 0.00042537384 0.00043615798 0.00040200824 0.0003708541 0.00040140914 0.00034329467 0.016346337 0.0014175135 0.0014414781 0.0013450201 0.0036156778 0.0016379888 0.011558186 0.001395346 0.0013534077 0.0013108704 0.001268333 0.0010352761 0.0010664302 0.0010430646 0.0010520514 0.00096577837 0.0016319976 0.0003379026 0.00043795534 0.0004175853 0.00038343557 0.00042237825 0.0051781777 0.00040320648 0.0003738497 0.00044334738 0.00042597298 0.00036546204 0.0003546779 0.0003780435 0.00036366467 0.00035228144 0.0011509059 0.0007650738 0.0008962807 0.0007746597 0.00077705615 0.0008585362 0.009608656 0.0007704659 0.0009813554 0.0008010209 0.0008201927 0.0007836465 0.00075668615 0.0007908359 0.000791435 0.0007590826 0.0022460937 0.0009490031 0.0016715395 0.0010346769 0.0012952933 0.001258148 0.007684888 0.0010053201 0.0019141823 0.00096458016 0.00093462423 0.0008968798 0.0010358752 0.00091605156 0.0009172498 0.0010424654 0.0016164206 0.0009801572 0.0014324913 0.0010556461 0.0013498131 0.0011485094 0.0051817726 0.0009621837 0.0015205618 0.0008842983 0.00096158456 0.0008950824 0.0010975844 0.0009226419 0.0010280866 0.0010490558 0.0020783406 0.0017883675 0.0020885258 0.002038799 0.0019872747 0.0020621645 0.0041309195 0.0018285085 0.0020286138 0.0019315567 0.0020711513 0.0018099358 0.0018866229 0.0018291075 0.0018434863 0.0017254602 1394.0 466.09253 649733.0 5.386828e-05 6.156375e-05 9.0806534e-05 0.00093115174 6.7720124e-05 5.0790095e-05 4.155553e-05 4.7711907e-05 2.9242781e-05 2.000822e-05 3.8477345e-05 0.00011081475 4.4633718e-05 4.001644e-05 6.925922e-05 4.3094624e-05 4.6172812e-05 3.8477345e-05 4.3094624e-05 3.693825e-05 4.6172812e-05 3.5399156e-05 4.4633718e-05 4.155553e-05 0.00013697935 4.9251e-05 4.155553e-05 2.6164595e-05 2.46255e-05 5.8485562e-05 5.0790095e-05 3.5399156e-05 0.0008911353 6.156375e-05 2.1547312e-05 7.695469e-05 7.079831e-05 4.7711907e-05 5.232919e-05 4.001644e-05 4.3094624e-05 7.23374e-05 4.155553e-05 4.4633718e-05 5.0790095e-05 3.8477345e-05 4.6172812e-05 4.155553e-05 8.465016e-05 2.9242781e-05 6.156375e-05 8.311106e-05 5.5407374e-05 3.3860062e-05 2.9242781e-05 6.618103e-05 5.232919e-05 4.9251e-05 6.0024657e-05 5.0790095e-05 4.3094624e-05 6.156375e-05 6.0024657e-05 4.3094624e-05 2.7703687e-05 0.00010311928 4.001644e-05 0.9846768 8.465016e-05 0.0019608054 4.4633718e-05 0.0010250364 0.0018730771 7.849378e-05 0.00093730807 2.6164595e-05 0.00010465838 5.8485562e-05 9.0806534e-05 6.4641936e-05 6.4641936e-05 2.000822e-05 0.0009865591 7.541559e-05 0.00011081475 6.4641936e-05 4.6172812e-05 0.0009896373 5.694647e-05 0.0009603945 3.8477345e-05 8.465016e-05 3.2320968e-05 0.0001462139 7.079831e-05 5.5407374e-05 0.1907292 0.0 0.0 0.0 5.0 835584.0 839680.0 1.0 0.0 35.0 0.0 1.0 0.0 0.0 0.0 1541379700.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 12.0 0.0 5.0 0.0 5.0 0.0 57344.0 4096.0 4096.0 6.0 0.0 0.0 1.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -610304.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -32768.0 0.0 0.0 -122880.0 0.0 0.0 0.0 0.0 0.0 -57344.0 -4096.0 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 -1.534536 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3.9044929 0.0 0.0 -1.536505 0.0 0.0 0.0 0.0 0.0 -3.941487 -4.9836054 3.1615262 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -609265.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -35024.0 0.0 0.0 -121929.0 0.0 0.0 0.0 0.0 0.0 -55090.0 -1518.0 752.0 0.0 0.0 0.0 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 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 280.0 98496.0 752.0 835584.0 0.0 0.0 0.0 0.0 0.0 0.0 56.0 4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 192.0 98304.0 0.0 0.0 0.0 0.0


Input: 0.2666181 0.011884269 0.00850768 0.006389036 0.0077131884 0.004435911 0.002317267 0.0012910487 0.0063228286 0.0012910487 0.0028138242 0.0020193327 0.0050648833 0.0018869174 0.00096001057 0.031084482 0.024529926 0.00046345338 0.0007613877 0.00039724575 0.00251589 0.005362818 0.0004965572 0.00043034958 0.0017876059 0.0005958686 0.00096001057 0.0005627648 0.001423464 0.0004965572 0.00086069916 0.0011255296 0.008805614 0.00039724575 0.0010262182 0.00039724575 0.006223517 0.0016551907 0.00043034958 0.0007944915 0.0013903602 0.0032441737 0.0004965572 0.00086069916 0.0006289725 0.00046345338 0.0012910487 0.00046345338 0.006223517 0.0041710804 0.0017213983 0.0066538667 0.002151748 0.0017876059 0.0014896716 0.0018538135 0.0025820974 0.0025820974 0.002846928 0.0024496822 0.0038400423 0.0028800317 0.0013241526 0.0013903602 0.004270392 0.00251589 0.0031117585 0.002118644 0.003707627 0.004667638 0.0013903602 0.001423464 0.0038069387 0.001588983 0.0030786546 0.0006951801 0.0014565678 0.0014565678 0.0014565678 0.000529661 0.0060579977 0.0012248411 0.0029462394 0.002846928 0.0015558793 0.0019862289 0.0032110699 0.0021848518 0.0013241526 0.0013572563 0.0013241526 0.0018207098 0.001257945 0.0017876059 0.0029462394 0.0029131356 0.0075807734 0.0047007417 0.0020193327 0.0031117585 0.005131091 0.00850768 0.015558792 0.0009931144 0.0057600634 0.0048662606 0.004766949 0.00082759536 0.0052966103 0.002846928 0.0060911016 0.009401483 0.0032441737 0.00023172669 0.0056607523 0.006256621 0.010692532 0.007978019 0.0011917372 0.0004965572 0.0021848518 0.0031117585 0.0031448624 0.0014896716 0.0007613877 0.002317267 0.00096001057 0.003177966 0.003707627 0.0040386654 0.0016882945 0.01406912 0.0059586866 0.010824947 0.0002648305 0.00033103814 0.0017876059 0.012480138 0.00023172669 0.02214645 0.0010924259 0.007481462 0.0002979343 0.00019862287 0.0011917372 0.0002979343 0.00016551907 0.00036414195 0.0010924259 0.0018538135 0.0002648305 0.00019862287 0.0017876059 9.931144e-05 0.0002648305 0.0006951801 0.0011586335 0.00033103814 0.00016551907 3.3103814e-05 0.0014896716 0.0017213983 0.0007613877 0.0011586335 0.0007944915 0.0002648305 0.00023172669 0.00013241525 0.0011917372 0.0002648305 0.0002979343 0.00019862287 0.0007282839 0.00016551907 0.00023172669 0.00036414195 0.0017876059 0.00033103814 0.0002648305 0.00016551907 0.0005958686 0.001257945 0.0010924259 0.0007944915 0.003542108 0.00036414195 0.0006289725 0.0010262182 0.0013903602 0.001257945 0.0007613877 0.0013903602 0.008342161 0.003376589 0.0040055616 0.003012447 0.0035090041 0.0007282839 0.0031448624 0.0036083157 0.0028800317 0.0013241526 0.00092690677 0.000529661 0.0024496822 0.000529661 0.00039724575 0.0004965572 0.0021848518 0.0015558793 0.0024496822 0.0017545021 0.0005627648 0.00016551907 0.0011917372 0.001423464 0.001953125 0.0013903602 0.0010262182 0.0013241526 0.0015227754 0.00036414195 0.0004965572 0.00036414195 0.0021848518 0.0009931144 0.0010262182 0.00082759536 0.0016551907 0.0010262182 0.0006951801 0.001257945 0.008342161 0.00503178 0.00089380296 0.0038400423 0.0027807204 0.00033103814 0.0002648305 0.0023834745 0.0030786546 0.0007282839 0.0004965572 0.0015227754 0.001059322 0.0002648305 0.001588983 0.0024165784 0.0027145126 0.0017213983 0.001953125 0.0029131356 0.0029793433 0.0024496822 0.0073490464 0.05875927 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.034075055 0.00019182477 0.00015694754 1.7438617e-05 0.00012207031 0.0 1.7438617e-05 0.0 0.0009765625 0.0 0.0 5.231585e-05 1.7438617e-05 0.0 1.7438617e-05 6.975447e-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 0.02657645 0.00026157923 0.000226702 8.719308e-05 0.0011683872 0.0004359654 0.003819057 0.0019008091 0.0010986328 3.4877234e-05 1.7438617e-05 0.0 5.231585e-05 1.7438617e-05 0.0 1.7438617e-05 0.026297433 0.002319336 0.0003313337 0.0020054409 0.00113351 0.00027901787 0.0010986328 0.00047084264 0.000453404 0.00017438616 0.00019182477 0.00019182477 0.00013950893 0.00017438616 0.00024414062 0.0002092634 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.03287179 0.00069754466 0.0018310547 0.0009242467 0.003226144 0.002179827 0.016008649 0.0066092354 0.0006452288 0.00027901787 0.00029645648 0.00024414062 0.00029645648 0.000226702 0.00015694754 0.004935128 0.04385812 0.0029820034 0.0037318638 0.006399972 0.0052141463 0.0037841797 0.01841518 0.0088065015 0.0005405971 0.00061035156 0.00052315847 0.00034877233 0.00036621094 0.00036621094 0.00048828125 0.01070731 0.017246792 0.0011858259 0.0010637556 0.00071498327 0.0008719308 0.0008893694 0.0021449497 0.0014648438 0.0023367745 0.00040108818 0.00034877233 0.0013253348 0.00113351 0.00047084264 0.0012381418 0.0028773716 0.021711078 0.0024937221 0.002947126 0.011492048 0.0028773716 0.0026157924 0.009922572 0.0055454797 0.0023890904 0.000819615 0.0009242467 0.0009242467 0.002040318 0.0008544922 0.0013602121 0.0025111607 0.124790736 0.025809152 0.016078403 0.010986328 0.019705636 0.02092634 0.033569336 0.022652762 0.06923131 0.0057024276 0.005597796 0.011579241 0.03074428 0.016026089 0.025687082 0.060913086 0.02495466 0.008213588 0.0024588448 0.0040631974 0.0038713727 0.0065743583 0.0054757255 0.0068359375 0.012869699 0.0017613003 0.0018310547 0.0016043527 0.005894252 0.002040318 0.004830497 0.0138636995 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 155.0 19.109678 2962.0 0.032410532 0.0016880486 0.008777853 0.00033760973 0.0010128291 0.0050641457 0.00033760973 0.0010128291 0.0013504389 0.00033760973 0.00033760973 0.0013504389 0.0013504389 0.0013504389 0.009115462 0.0030384874 0.02633356 0.018568534 0.008777853 0.010465901 0.009115462 0.0040513165 0.0057393652 0.007427414 0.01114112 0.009115462 0.006414585 0.0030384874 0.009453072 0.009453072 0.0070898044 0.0054017557 0.008440243 0.020256583 0.0040513165 0.007427414 0.0077650235 0.0040513165 0.0027008778 0.0070898044 0.0027008778 0.009115462 0.00067521946 0.00033760973 0.0054017557 0.006076975 0.004726536 0.0027008778 0.015192438 0.0040513165 0.0070898044 0.010465901 0.008440243 0.0013504389 0.006076975 0.0016880486 0.004726536 0.0040513165 0.007427414 0.009115462 0.0067521944 0.0016880486 0.0040513165 0.016542876 0.008102633 0.03646185 0.0114787305 0.027346388 0.03713707 0.0695476 0.006414585 0.007427414 0.014517218 0.03646185 0.0013504389 0.0030384874 0.033085752 0.017555706 0.03781229 0.030384876 0.021269413 0.0013504389 0.045914922 0.031060094 0.045914922 0.016542876 0.0040513165 0.0027008778 0.006076975 0.01114112 0.0043889266 0.006076975 0.0010128291 0.0 0.00067521946 0.0010128291 5.8055353 0.0 0.0 0.0 2.0 30208.0 45056.0 1.0 3.0 54.0 1.0 1.0 0.0 0.0 0.0 1520220500.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 12.0 0.0 6.0 0.0 6.0 0.0 18944.0 1024.0 4096.0 6.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -1536.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4096.0 0.0 -512.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2560.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -18944.0 0.0 1536.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.492468 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4.749037 0.0 -4.1636696 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0263062 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.4770203 0.0 4.4023433 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1160.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4084.0 0.0 -496.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3492.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -18538.0 0.0 1516.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 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 0.0 169.0 27136.0 100.0 27308.0 1516.0 36864.0 0.0 0.0 0.0 0.0 1160.0 40960.0 56.0 24864.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 26800.0 0.0 0.0 232.0 24576.0 0.0 0.0 0.0 0.0


Input: 0.062378746 0.016596898 0.013748358 0.00515237 0.008331095 0.004643102 0.00937015 0.004355823 0.0059936875 0.0038129776 0.006997299 0.0036562798 0.0036021818 0.003561142 0.0042121834 0.0034958513 0.0039995224 0.0049378434 0.006329468 0.003960348 0.003727167 0.0039416933 0.0036917233 0.0033895206 0.0035368912 0.0032011103 0.0031507432 0.0034622732 0.0030593362 0.0034063098 0.0036338945 0.003702916 0.004853898 0.003611509 0.0042793397 0.0030947798 0.0040386966 0.0032608046 0.0032794592 0.0032962481 0.0065066856 0.0029175621 0.0051094647 0.0035592765 0.0038446903 0.0032346884 0.003570469 0.0030593362 0.0039081154 0.0035536801 0.003320499 0.0032253612 0.0032216304 0.0028522713 0.0027515371 0.0030388162 0.0031246268 0.0033447498 0.003178725 0.0032887864 0.003219765 0.003540622 0.0036096436 0.0033820588 0.0032160338 0.0037047814 0.0038838645 0.0034025789 0.0037346287 0.0035331603 0.0035145057 0.0031470123 0.0036376254 0.004624448 0.0027496717 0.0036264327 0.00359472 0.00386521 0.0033540772 0.003286921 0.0031693976 0.0030444127 0.0032029757 0.0037887266 0.0036656072 0.0035387566 0.0035853928 0.0032178992 0.0029306202 0.003452946 0.0025537997 0.004206587 0.0029679292 0.0031227614 0.0033596735 0.004878149 0.0031227614 0.006269774 0.003411906 0.004833378 0.004870687 0.010103271 0.0035797965 0.0042308383 0.0034566768 0.006163443 0.002883984 0.0040386966 0.004803531 0.0042196456 0.0061224033 0.008831035 0.0048240507 0.0030313544 0.0062567154 0.006258581 0.0072491346 0.0048389747 0.0040965257 0.0035686037 0.0036506834 0.0036245673 0.0031638013 0.0045442334 0.0029977765 0.0043371688 0.0036338945 0.0034846587 0.004417383 0.0040125805 0.0032570737 0.002589243 0.0033857897 0.0027142281 0.003598451 0.0027888461 0.002792577 0.0033671353 0.0031488778 0.0029138313 0.0030742597 0.0031264923 0.0031731285 0.003469735 0.0031320888 0.0036600106 0.0038446903 0.0028615985 0.0025370105 0.0026060322 0.0032421502 0.0034753312 0.0029026384 0.0028727914 0.0033484807 0.0031805905 0.0032234958 0.0032421502 0.0031302234 0.0035480838 0.002867195 0.0030145654 0.0032570737 0.0031936485 0.0027347482 0.0027142281 0.003219765 0.0030127 0.0026862465 0.0028746568 0.0031097033 0.002846675 0.0029567366 0.002501567 0.0029772564 0.0030369507 0.0030201618 0.0032589391 0.0035667382 0.0028392132 0.0029492746 0.003100376 0.0031134342 0.0029492746 0.002938082 0.0030201618 0.0034137715 0.003158205 0.0029809873 0.0031190305 0.0029977765 0.0035368912 0.0034342913 0.0027104972 0.00274221 0.0029455437 0.0027515371 0.0030929144 0.0030127 0.0034212333 0.0025911084 0.003245881 0.0026004359 0.0034939859 0.0029306202 0.003178725 0.0030406818 0.0031432814 0.0026825154 0.003415637 0.0027851153 0.003299979 0.0027981733 0.0030201618 0.004076006 0.0035014476 0.0030369507 0.00330371 0.0029045038 0.003307441 0.0031563395 0.003171263 0.0033652699 0.003341019 0.0030593362 0.0030313544 0.0030854526 0.003361539 0.0026657265 0.003171263 0.0029959108 0.003357808 0.0031115687 0.0032589391 0.002846675 0.0033932514 0.0031805905 0.0033298263 0.0033130373 0.0032887864 0.0030015074 0.0030350853 0.003232823 0.0032757283 0.0031320888 0.0031059724 0.0031115687 0.0035331603 0.0033820588 0.003378328 0.0029119658 0.0035760656 0.0036413562 0.003432426 0.003831632 0.0036823961 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0012861815 1.6837284e-05 0.00011411937 2.1514308e-05 0.00032271462 6.547833e-06 1.0289452e-05 3.9287e-05 2.806214e-05 1.1224856e-05 7.4832374e-06 1.8708093e-05 8.418642e-06 1.3095666e-05 8.418642e-06 2.806214e-06 0.006497321 0.00029465248 0.00040128862 0.0004602191 0.002748219 0.0020896941 0.013382835 0.006363558 8.325102e-05 4.583483e-05 3.2739164e-05 5.0511855e-05 2.8997545e-05 3.180376e-05 3.0868356e-05 2.5255928e-05 0.022304725 0.0022346817 0.003111156 0.0012684087 0.0027173506 0.0023039018 0.0125222625 0.006786361 0.0003199084 0.00020859524 0.00018708094 0.00019830579 0.0002216909 0.00041438427 0.00031710218 0.0004396402 0.042776056 0.0069865375 0.006767653 0.0019821227 0.0014246213 0.0013628847 0.0043580504 0.005210204 0.0017623025 0.0010074308 0.000956919 0.0008530891 0.0007081014 0.0008979885 0.00074364676 0.00074645295 0.02330093 0.0039006376 0.002228134 0.0015855109 0.0015798985 0.0014611022 0.0018483597 0.0015359345 0.002575169 0.0012440883 0.00082596234 0.00081380206 0.000628592 0.0009653376 0.00074832374 0.00073522807 0.007248451 0.0013713032 0.00087086175 0.0007174554 0.0007052951 0.0012880523 0.0008577661 0.0005172788 0.00080444803 0.00031055434 0.0003358103 0.00025630087 0.00033113325 0.0010467179 0.00035264756 0.00022730335 0.0016360228 0.00042467372 0.00016930824 0.00010476533 0.00015621258 0.0002768798 0.00010757154 0.00016182501 7.7638586e-05 5.98659e-05 0.00015247097 6.4542925e-05 0.000110377754 0.00020485363 5.7059686e-05 6.734914e-05 0.0031626034 0.0007427113 0.00041064265 0.00031242517 0.00052382663 0.0009344693 0.00059024035 0.00038258053 0.0002983941 0.00047144396 0.00034984134 0.0002806214 0.0002198201 0.00024881764 0.00025255926 0.000397547 0.00048547503 6.360752e-05 0.00015621258 0.00011786099 7.483237e-05 6.641373e-05 0.0002394636 0.00018521013 5.7059686e-05 7.670318e-05 6.547833e-05 6.734914e-05 7.202616e-05 5.8930495e-05 6.0801303e-05 6.828454e-05 0.04957645 0.045203432 0.047323994 0.046074294 0.046745915 0.04503693 0.047035888 0.048405323 0.045961108 0.047509205 0.044217516 0.047494236 0.046142578 0.047429696 0.048016194 0.050700806 4238.0 9.447853 40040.0 0.006743257 0.0054945056 0.0042957044 0.003921079 0.0041208793 0.0038211788 0.0034215783 0.0035964036 0.0035964036 0.0035214785 0.004170829 0.004270729 0.004320679 0.0044205794 0.006918082 0.0030719282 0.0057442556 0.0045454544 0.00511988 0.0045704297 0.004095904 0.003146853 0.0037712287 0.0032217782 0.002972028 0.004895105 0.0043706293 0.0033966035 0.007017982 0.004095904 0.0073426575 0.0026723277 0.0037712287 0.009765235 0.013911089 0.011163836 0.010064935 0.007392607 0.012512487 0.0070679323 0.0045704297 0.011313686 0.005044955 0.005844156 0.007217782 0.007992008 0.004945055 0.0054945056 0.0083916085 0.0048701297 0.009315684 0.014985015 0.010664335 0.0061438563 0.007142857 0.004845155 0.0047452548 0.0052197804 0.0044705295 0.002972028 0.0048201797 0.00462038 0.0038211788 0.023226773 0.0032967033 0.041908093 0.007042957 0.022502497 0.022627372 0.08566434 0.008516484 0.018656343 0.008266733 0.04373127 0.0047452548 0.013636364 0.024175825 0.018556444 0.03821179 0.031343658 0.011338661 0.0037462537 0.039485514 0.030644355 0.054045953 0.022002997 0.010364635 0.0060939062 0.008166833 0.011063936 0.005044955 0.0026723277 0.0033966035 0.003171828 0.0030969032 0.0037712287 5.9296465 0.0 0.0 0.0 1.0 536064.0 557056.0 1.0 0.0 1.0 1.0 1.0 0.0 0.0 0.0 1392122600.0 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 -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 11.0 0.0 4.0 0.0 4.0 0.0 398336.0 512.0 4096.0 3.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -512.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -398336.0 0.0 136704.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.9473388 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7.652275 0.0 7.983069 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -12.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -398196.0 0.0 136360.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 79.0 406300.0 136360.0 409600.0 0.0 0.0 0.0 0.0 12.0 548864.0 28.0 406164.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 8.0 8192.0 0.0 0.0 72.0 8200.0


Input: 0.05663515 0.008298721 0.006173338 0.0056487177 0.005756332 0.0049699196 0.004193855 0.005413829 0.0050413175 0.005630092 0.003740633 0.0044556474 0.0049461205 0.003177727 0.004326303 0.0046387985 0.0050351094 0.003757189 0.0049326685 0.0041566035 0.004357346 0.0031797967 0.0041100397 0.0038441082 0.005073395 0.003350531 0.0031673796 0.0029355949 0.0041472907 0.003446763 0.0037840926 0.0037934054 0.0061629904 0.0038182393 0.0034819446 0.0030173403 0.0048830006 0.004162812 0.0038378998 0.0037220074 0.004720544 0.0038896373 0.0033339749 0.0030959817 0.0043707974 0.0037261464 0.003723042 0.0035833505 0.005518339 0.0039558616 0.003099086 0.0028993785 0.0036682002 0.0030680434 0.0026944974 0.0028652316 0.004176264 0.0033184537 0.0035171262 0.003350531 0.0039993213 0.0032273952 0.0035067787 0.0034622843 0.0065913782 0.0039558616 0.0036164625 0.003216013 0.004154534 0.0032211868 0.0035481688 0.0030742518 0.005003032 0.0037727102 0.0037095903 0.0035833505 0.0041297 0.003128059 0.0035626553 0.0034664234 0.005173766 0.0036278449 0.0036568178 0.0033298358 0.003925854 0.003379504 0.0033608784 0.0035326474 0.004633625 0.0036485398 0.0038078919 0.0035057438 0.0041110744 0.0033908864 0.0036992428 0.0037913357 0.0059136148 0.003636123 0.003350531 0.0029542204 0.0040075993 0.0030576957 0.0032625769 0.0030349311 0.0049719894 0.003170484 0.003211874 0.0030494176 0.0035812808 0.002838328 0.0030877036 0.0031922136 0.004499107 0.00329155 0.003232569 0.003144615 0.003895846 0.003346392 0.0032946542 0.0036288796 0.0046222424 0.0033018976 0.0034788402 0.003166345 0.004037607 0.0032025613 0.003463319 0.0033443223 0.008648467 0.004600513 0.004016912 0.0035316127 0.004378041 0.0034364155 0.0030142362 0.0033867473 0.004534289 0.0038347954 0.002955255 0.0031963526 0.0037344245 0.002809355 0.0028517798 0.0029780199 0.005236886 0.0032067003 0.003492292 0.003026653 0.003669235 0.0031849705 0.0033029323 0.003266716 0.004548775 0.002839363 0.0030421745 0.0027079491 0.0035150568 0.0032346386 0.002981124 0.003169449 0.005001997 0.0034064075 0.0032801677 0.0027938336 0.0037727102 0.0030163056 0.003069078 0.0031787618 0.004137978 0.0029966454 0.003128059 0.003015271 0.0036412966 0.0028476408 0.0029159347 0.0030390702 0.0046729455 0.0031146072 0.0038389345 0.0028579885 0.003568864 0.0031539279 0.0029997495 0.0031208156 0.004248697 0.0031487541 0.0033236274 0.0031725534 0.0036537137 0.0031901442 0.0033277664 0.0033526004 0.0067114094 0.004062441 0.0037157987 0.0033370792 0.0041110744 0.0032625769 0.0033018976 0.0032398123 0.0043407897 0.0033288011 0.0031166768 0.0030794255 0.0036485398 0.0029821587 0.0030711475 0.0028000423 0.004247662 0.0032739593 0.0030845993 0.0029956105 0.0037116597 0.0030297574 0.0029428382 0.00295629 0.003975522 0.0031083988 0.0027265747 0.0026386208 0.0035295433 0.0029500814 0.0035843852 0.002889031 0.0049543986 0.003232569 0.003383643 0.0029790546 0.0038109962 0.0030752865 0.003191179 0.0028983438 0.0044463347 0.005456254 0.0034643537 0.0031415108 0.0037840926 0.0030742518 0.003237743 0.0031901442 0.004613965 0.0033194884 0.0034198593 0.0030370008 0.0037458066 0.003086669 0.003316384 0.0032511947 0.004356311 0.0030297574 0.0031870399 0.0028579885 0.004008634 0.003094947 0.0042155846 0.004511524 0.011667952 0.0 0.0 0.0 0.0 0.0 1.0366906e-06 3.1100717e-06 0.0 1.0366906e-06 2.0733812e-06 0.0 0.0 1.0366906e-06 0.0 1.0366906e-06 0.0020516105 4.1467624e-06 2.0733812e-06 6.2201434e-06 5.1834527e-06 1.0366906e-06 3.1100717e-05 1.1403596e-05 0.0 0.0 1.0366905e-05 0.0 0.0 0.0 0.0 0.0 0.0009501269 2.5917263e-06 6.2201434e-06 1.29586315e-05 9.330215e-06 5.701798e-06 5.1834526e-05 2.2807191e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0028617843 3.5765825e-05 2.7990645e-05 1.0885251e-05 2.2288847e-05 3.4729135e-05 4.250431e-05 1.8142086e-05 3.5765825e-05 5.1834527e-06 9.848561e-06 1.6068703e-05 2.643561e-05 7.2568337e-06 1.7105394e-05 1.29586315e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00087963196 1.1921941e-05 1.2440287e-05 8.293525e-06 1.3476977e-05 1.6068703e-05 1.3476977e-05 1.1403596e-05 1.0885251e-05 1.3476977e-05 6.7384885e-06 1.3476977e-05 1.1921941e-05 1.0366905e-05 1.8142086e-05 9.848561e-06 0.0016244941 6.5311506e-05 5.701798e-05 4.8724454e-05 4.7687765e-05 3.058237e-05 2.2807191e-05 0.0005546294 3.0064026e-05 1.7105394e-05 1.9697121e-05 0.0002773147 2.073381e-05 0.00027420465 1.658705e-05 7.775179e-05 0.0007427888 3.732086e-05 3.421079e-05 2.073381e-05 2.2288847e-05 1.7105394e-05 1.3995323e-05 1.1921941e-05 1.658705e-05 2.2807191e-05 1.9178775e-05 1.7623739e-05 6.7384885e-06 4.6651076e-06 2.2807191e-05 5.0797837e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0013181521 3.732086e-05 4.3022657e-05 6.012805e-05 4.250431e-05 3.1619064e-05 9.174711e-05 5.8573016e-05 3.9394243e-05 5.7536326e-05 4.4059347e-05 4.3022657e-05 7.827014e-05 7.775179e-06 8.8118695e-06 0.00016120537 0.0011688686 6.945827e-05 4.613273e-05 4.613273e-05 3.835755e-05 3.7839207e-05 4.7687765e-05 6.012805e-05 5.2352872e-05 5.0797837e-05 6.842158e-05 5.1834526e-05 7.516007e-05 1.4513667e-05 4.4059347e-05 0.00025139746 0.004581654 0.0002928651 0.00027109458 0.00027057625 0.00029960356 0.0002405122 0.00033174097 0.00030737874 0.00033122263 0.00035091976 0.00032811257 0.0003514381 0.000520937 0.0001534302 0.00018401258 0.000738642 0.0031966353 0.0002736863 0.00030064027 0.00024880574 0.00028871832 0.00028249816 0.00034314458 0.0009335398 0.0004074194 0.0003514381 0.00032448414 0.00066918373 0.00046288234 0.00043541004 0.00017468235 0.0008609715 0.0022511736 0.00018193919 0.00029027337 0.0002451773 0.00029856688 0.00029493845 0.00028560826 0.0004027543 0.0004431852 0.00032292912 0.000246214 0.0003172273 0.00046080895 0.00016172373 0.00018971437 0.0010387639 0.0003446996 5.4426255e-05 4.3022657e-05 4.509604e-05 5.4426255e-05 4.820611e-05 5.338956e-05 5.1834526e-05 7.0494956e-05 4.820611e-05 3.835755e-05 4.92428e-05 4.4577693e-05 2.643561e-05 4.1985968e-05 4.716942e-05 0.099158935 0.062037118 0.06240877 0.05532351 0.06061737 0.059559945 0.054983474 0.05450038 0.060486745 0.05319363 0.052136205 0.05294897 0.056427587 0.050558362 0.05663959 0.053817715 4026.0 5.7039247 22964.0 0.017113743 0.010494688 0.009362481 0.008622191 0.013412298 0.012454276 0.011757533 0.011539801 0.012628462 0.009797945 0.008491552 0.008578645 0.013847762 0.01058178 0.01180108 0.009885037 0.016808918 0.011844627 0.008796377 0.0075335307 0.009797945 0.008491552 0.007794809 0.008317366 0.010233409 0.008404459 0.009580213 0.008839923 0.011539801 0.009014109 0.009797945 0.009318934 0.018071765 0.010886605 0.010407594 0.009101202 0.010799512 0.00888347 0.010668873 0.008360913 0.014239679 0.011583348 0.009754398 0.008970562 0.011409163 0.009362481 0.011626895 0.009580213 0.014762237 0.009580213 0.00997213 0.009057655 0.012149451 0.009362481 0.0096237585 0.009754398 0.01363003 0.009188294 0.01058178 0.009536666 0.011104337 0.0098414915 0.010407594 0.010668873 0.017897578 0.0109736975 0.009710852 0.008186727 0.013107473 0.008230274 0.009362481 0.008317366 0.015415433 0.009275388 0.00888347 0.008665738 0.011322069 0.007968995 0.009885037 0.007968995 0.013194566 0.007925449 0.00875283 0.00875283 0.011539801 0.009536666 0.008360913 0.007968995 0.0109736975 0.008839923 0.011975266 0.008535098 0.011234976 0.009057655 0.00997213 0.008796377 6.554765 0.0 0.0 0.0 14.0 966414.0 2072576.0 0.0 0.0 2.0 0.0 1.0 0.0 0.0 0.0 1504401000.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 40.0 1.0 6.0 0.0 4.0 0.0 4.0 0.0 192512.0 4096.0 4096.0 6.0 0.0 0.0 4.0 6.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 94208.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 831488.0 0.0 0.0 16384.0 0.0 0.0 4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -0.7120981 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 7.959737 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.042169247 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 7.86137 0.0 0.0 7.523454 0.0 0.0 0.22095801 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 204800.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 995328.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 831488.0 0.0 0.0 27980.0 0.0 0.0 4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 3.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 149.0 237677.0 27980.0 208896.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0