Input: 0.028115192 0.0040306374 0.004601146 0.003528303 0.004460014 0.0030726136 0.0033022524 0.0035558117 0.0030427128 0.0029984596 0.005821102 0.0026707458 0.0034158756 0.0033704264 0.0030211841 0.0039206026 0.002500909 0.0034063074 0.003493618 0.002911149 0.0039935606 0.004208847 0.003328565 0.0025607108 0.0034649132 0.0036957478 0.004372704 0.0029936754 0.0038201355 0.0037232568 0.0040940274 0.004995838 0.003974424 0.0030965344 0.0034780696 0.0043607433 0.0047889235 0.0035414593 0.0033022524 0.0033405256 0.0036586707 0.0041586133 0.004798492 0.003911034 0.004053362 0.003500794 0.003328565 0.0029338736 0.002912345 0.004012697 0.0036897678 0.0033728185 0.0044384855 0.004321274 0.0029661665 0.002804702 0.0035175385 0.002779585 0.004492307 0.0026109442 0.004347587 0.00425908 0.0047410824 0.0051907916 0.0032448426 0.0038799373 0.003286704 0.0036371422 0.0032735476 0.0041526332 0.0039289747 0.0044049965 0.0044360934 0.004962349 0.0044301134 0.0035713601 0.003491226 0.0041944943 0.003393151 0.0050532473 0.003917014 0.004211239 0.0044217412 0.0049503883 0.0049276636 0.005139362 0.0042578843 0.0044157607 0.003663455 0.0039564837 0.004117948 0.0034051114 0.003115671 0.0034876377 0.003389563 0.0044348976 0.0027401159 0.003358466 0.0037065123 0.0047410824 0.004004325 0.004898959 0.0036861796 0.0036969439 0.0035821246 0.0056129918 0.0046465956 0.0037316289 0.0032962721 0.004086851 0.0041346927 0.005693126 0.0035522236 0.0037388052 0.0039588753 0.0037818623 0.005181223 0.0046764966 0.0030654375 0.002564299 0.0039528953 0.0037555497 0.004451642 0.00424712 0.0031981973 0.0042519043 0.0036586707 0.005403686 0.0030164 0.0030367326 0.003182649 0.003118063 0.0025343979 0.0029912833 0.0036383383 0.00342664 0.0029601865 0.003362054 0.0046047345 0.002949422 0.0035103625 0.0039194063 0.0045162276 0.00479012 0.0035151467 0.0045437366 0.0049551725 0.0033847787 0.0033776027 0.004422937 0.004156221 0.003530695 0.0031037105 0.003356074 0.0045186197 0.002915933 0.002466224 0.0034362082 0.004281805 0.005214712 0.0034493646 0.0036024572 0.004041402 0.0037579418 0.0044671902 0.0043332344 0.004554501 0.0052529853 0.004833177 0.0049874657 0.005166871 0.004672908 0.0036060452 0.004146653 0.003560596 0.004700417 0.0027951335 0.0036622589 0.0037256486 0.003529499 0.0039229947 0.004000737 0.0033536819 0.0040952237 0.003322585 0.0030714176 0.0036742191 0.0028920125 0.0029697546 0.0034027193 0.0028920125 0.003699336 0.002805898 0.0028274264 0.0025284179 0.0034481687 0.003290292 0.0034386003 0.003570164 0.0049826815 0.0036383383 0.0035582038 0.003328565 0.004116752 0.002979323 0.0032783316 0.0026659619 0.0045604813 0.0032831158 0.0035713601 0.0045760297 0.005028131 0.0049432125 0.0049802894 0.0034541488 0.0035833206 0.0028621114 0.0032879 0.0037124923 0.0042387475 0.0032400587 0.0029996554 0.0031730805 0.0024781844 0.002711411 0.0033429177 0.003358466 0.0042997454 0.0035378712 0.0038835253 0.0027951335 0.0037244528 0.0033417216 0.0050580315 0.0050221505 0.0037411973 0.003320193 0.004321274 0.0031312194 0.0020284753 0.0029876952 0.0039923647 0.004481543 0.0037292368 0.0042375517 0.0047745714 0.0046465956 0.0025941997 0.003191021 0.004687261 0.004494699 0.0041215364 0.0045365603 0.0044085844 0.0055352496 0.0052721216 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0008615318 9.0466834e-05 6.230828e-05 4.7929448e-06 1.3779716e-05 4.7929448e-06 5.8713573e-05 9.466066e-05 3.5947087e-06 4.7929448e-06 5.392063e-06 6.590299e-06 4.1938265e-06 2.9955904e-06 2.9955904e-06 5.392063e-06 0.005575393 0.0007147479 0.00058473926 0.00016835218 0.00054220186 0.00044634298 0.0032094757 0.0021088957 3.774444e-05 1.258148e-05 1.557707e-05 1.9171779e-05 8.986772e-06 7.788535e-06 4.7929448e-06 4.0140912e-05 0.012700105 0.0013671875 0.001232985 0.00054819306 0.0005517878 0.00038163824 0.0023916794 0.0022227282 0.0001857266 0.00013659893 0.000115629795 4.6132092e-05 2.5762078e-05 3.4149733e-05 4.97268e-05 9.585889e-05 0.0038139857 0.00035288057 0.00031273963 0.00018692485 0.00024983226 0.0002648102 0.000983752 0.0004990654 0.00019591162 9.525978e-05 9.8854485e-05 5.1524155e-05 8.0281825e-05 5.5118864e-05 6.530387e-05 5.5717985e-05 0.00058174366 6.111005e-05 9.7057135e-05 4.373562e-05 3.235238e-05 2.5762078e-05 0.00016056365 0.00017853719 3.5947087e-06 7.1894174e-06 1.0185007e-05 5.392063e-06 5.392063e-06 3.5947087e-06 5.991181e-06 4.7929448e-06 0.001638588 0.0002618146 0.0002150834 0.00011622891 0.00014019363 0.00012821128 0.0005092504 0.000294167 9.0466834e-05 3.4149733e-05 4.733033e-05 3.714532e-05 6.770035e-05 2.3964723e-05 3.8942675e-05 3.774444e-05 0.0004044047 4.1938267e-05 8.747124e-05 6.8299465e-05 6.530387e-05 4.2537384e-05 0.00022047546 0.0001491804 1.4977953e-05 2.516296e-05 1.557707e-05 1.9770898e-05 1.7374425e-05 1.9171779e-05 1.557707e-05 1.9770898e-05 0.0002845811 2.4563842e-05 8.6872125e-05 9.3462426e-05 4.5532975e-05 8.148006e-05 0.00023964724 0.00015517158 2.0969133e-05 2.7559432e-05 3.235238e-05 2.9955905e-05 3.6546204e-05 1.9171779e-05 2.5762078e-05 2.3365606e-05 0.000877708 0.00019710985 0.00019291602 0.00024384106 0.00025222873 0.00015816718 0.0004301668 0.00028877493 0.00013599981 0.00014498658 0.00010664302 0.000121021854 0.0001324051 0.00012761216 0.00012761216 0.00014378835 0.055051163 0.054528136 0.05737814 0.059052076 0.061537217 0.06438782 0.0573374 0.057436854 0.054968487 0.060800303 0.06880871 0.05476778 0.054737225 0.05922402 0.05738413 0.06738581 4871.0 7.022993 34209.0 0.009909673 0.0066649127 0.0073372503 0.008243444 0.011195884 0.008828086 0.006080271 0.005466398 0.007512643 0.0080972845 0.009500423 0.008184981 0.0114589725 0.010026601 0.011838989 0.005203309 0.008623461 0.0095881205 0.010201993 0.0075711072 0.009617352 0.012365167 0.0064018243 0.0058756466 0.00634336 0.0061387355 0.00903271 0.00564179 0.010494314 0.011517437 0.008126517 0.008623461 0.005583326 0.009354264 0.007541875 0.012160542 0.009792744 0.011692829 0.009178871 0.0100558335 0.008068052 0.011926686 0.0065479847 0.009821977 0.0072203223 0.012774416 0.0054956297 0.010698939 0.009178871 0.0095881205 0.0120143825 0.015551463 0.012072846 0.013505218 0.010465083 0.008214213 0.0066064484 0.007834196 0.0077464995 0.005817183 0.0065187523 0.008535765 0.007103394 0.0120143825 0.005291005 0.018825455 0.013066737 0.017510012 0.013739075 0.03624777 0.009968137 0.012803649 0.0072203223 0.023034874 0.010260458 0.009938905 0.016896138 0.014732965 0.01946856 0.022537928 0.007600339 0.006694145 0.020257827 0.017305387 0.028852057 0.018650062 0.0077172676 0.009120407 0.007074162 0.01014353 0.008681926 0.0063141277 0.0054079336 0.0073957145 0.006284896 0.008564997 6.4474716 1.0 0.0 0.0 14.0 836096.0 860160.0 1.0 0.0 1.0 1.0 1.0 0.0 0.0 0.0 1539674600.0 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 833536.0 512.0 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 -833536.0 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 -1.7806721 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7.934805 0.0 4.262946 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 -833188.0 0.0 1424.0 0.0 0.0 0.0 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 87.0 841284.0 1424.0 843776.0 0.0 0.0 0.0 0.0 12.0 851968.0 28.0 841128.0 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: 0.18387306 0.008288407 0.004718769 0.00668696 0.008276182 0.003129546 0.0026405544 0.0039852816 0.013447268 0.0054644807 0.002432733 0.002958399 0.005672302 0.0025427563 0.002836151 0.0053789075 0.006674735 0.025048593 0.0016503466 0.003655212 0.0070048044 0.0040830798 0.00551338 0.0053789075 0.0057212017 0.0019804158 0.00232271 0.0023960588 0.005281109 0.0020170903 0.0016014475 0.0016747961 0.0061246194 0.0011124559 0.0016992458 0.001564773 0.018386083 0.0021148885 0.0010268823 0.0010880063 0.0031784452 0.0011491302 0.001332502 0.0039608316 0.002261586 0.0014669747 0.001625897 0.0012347037 0.0028606008 0.0015158739 0.00145475 0.008263958 0.0022371365 0.0022004622 0.0012224789 0.0012102542 0.0023960588 0.0016136722 0.0017603696 0.0036796615 0.002310485 0.0013814012 0.001625897 0.0012347037 0.010195474 0.003606313 0.0019804158 0.0024449578 0.014779771 0.0037407856 0.004987714 0.0026038801 0.0060023717 0.0018948424 0.0013569517 0.0019315167 0.0054767057 0.002334935 0.0034351659 0.0018948424 0.006540262 0.003484065 0.0032273445 0.0043398 0.004987714 0.0030195229 0.007408222 0.0042542266 0.0022249117 0.0017970441 0.0012958277 0.0031784452 0.0031050965 0.0027139033 0.0040830798 0.0039241575 0.0019315167 0.0031417708 0.0014058508 0.002554981 0.003422941 0.005635628 0.0056600776 0.0018092688 0.004352025 0.00319067 0.004229777 0.0016503466 0.0042542266 0.0019926408 0.0028239263 0.003312918 0.0028606008 0.005452256 0.004193103 0.0034962897 0.008007237 0.0047921175 0.0016747961 0.008007237 0.0019926408 0.0015892226 0.0012713781 0.0009902079 0.0032273445 0.0015525483 0.0019804158 0.0011491302 0.0018214936 0.0024571826 0.0013814012 0.010892288 0.0030561974 0.006149069 0.0019437416 0.0011735798 0.0040708547 0.0140707325 0.0051221866 0.035036247 0.0019192919 0.0041564284 0.0018337184 0.0012347037 0.012004743 0.0011980294 0.0010024328 0.00096575834 0.0016503466 0.001503649 0.0017481449 0.0010513319 0.002726128 0.0013202772 0.0011980294 0.0010880063 0.0017359201 0.0011369054 0.0015525483 0.0010024328 0.0017481449 0.001503649 0.00086796004 0.0012224789 0.0013202772 0.0010880063 0.0009902079 0.0010635566 0.0014669747 0.0011246806 0.0009046344 0.0011246806 0.0018092688 0.0010635566 0.001332502 0.0010757814 0.004767668 0.0025794306 0.0011124559 0.0012836029 0.0029828486 0.0012224789 0.001161355 0.0012347037 0.0024449578 0.0016747961 0.001393626 0.0012347037 0.001687021 0.0012713781 0.0016136722 0.0012469285 0.005330008 0.0049265902 0.0023593844 0.004584296 0.006197968 0.0017725945 0.002310485 0.0041564284 0.002677229 0.0032273445 0.0027505776 0.0017359201 0.0021760126 0.00145475 0.0017603696 0.0014180755 0.0022860356 0.0024449578 0.002383834 0.0030684222 0.0013569517 0.0018092688 0.0014669747 0.0014425252 0.0016503466 0.0014303004 0.0016381218 0.0027994767 0.0014058508 0.0015158739 0.0012347037 0.0011980294 0.0021148885 0.0018703928 0.0019315167 0.0015158739 0.0012713781 0.0012102542 0.0018459432 0.0012591534 0.0071637267 0.0027383529 0.002212687 0.0032151197 0.0017603696 0.001503649 0.0019559662 0.0013447269 0.0016381218 0.0016014475 0.001564773 0.0021271133 0.001332502 0.0016992458 0.0019559662 0.0022493612 0.0031784452 0.0022004622 0.0022249117 0.0020048656 0.0017970441 0.0022493612 0.0025916554 0.016393442 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.022273136 0.00032552084 0.00025040066 0.00025040066 0.00022536058 0.00087640225 0.00025040066 0.00021284055 0.00021284055 0.00010016026 0.00011268029 0.00010016026 0.00013772036 0.00010016026 0.00011268029 0.00010016026 0.021421775 0.008701422 0.0007386819 0.00033804087 0.00025666066 0.0005195813 0.0012457432 0.00386869 0.00021910056 0.00016276042 0.00016276042 0.0001565004 0.00017528045 0.00015024039 0.0001565004 0.00018780048 0.044258315 0.012757912 0.0011268029 0.0010955028 0.0051206932 0.001158103 0.0035494291 0.005014273 0.0005947015 0.00020032052 0.00020032052 0.00025666066 0.00028796075 0.0001940605 0.00024414062 0.0008638822 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0100911455 0.009051983 0.00030674078 0.00013146034 0.0002316206 0.00014398037 0.0004695012 0.0026104266 9.390024e-05 7.5120195e-05 9.390024e-05 6.886018e-05 0.0009765625 0.00010642027 0.0001565004 0.0010329026 0.015481019 0.006378956 0.0016589042 0.0005947015 0.0028232671 0.00061348156 0.0045134714 0.0040940503 0.0002629207 3.7560098e-05 5.008013e-05 3.7560098e-05 0.00033178084 8.764023e-05 0.00018780048 0.0013083434 0.0052145934 0.00013772036 0.00014398037 0.00011268029 0.0009202224 0.0006322616 0.0028232671 0.0014272836 0.00011268029 0.00011268029 8.138021e-05 8.138021e-05 0.00069486175 6.886018e-05 5.008013e-05 0.00020658053 0.013183594 0.00080754206 0.0010141226 0.0010516827 0.00087014225 0.00075746194 0.0011017629 0.0005446214 0.0013459035 0.00060096156 0.00040064103 0.0008451022 0.0006322616 0.0010704627 0.00055714144 0.0008576222 0.0038311298 0.0001940605 0.00036308094 0.00032552084 0.0010704627 0.000769982 0.003167568 0.0016150841 0.00023788061 0.00024414062 0.0001940605 0.00017528045 0.00013772036 0.00018780048 0.00013772036 0.00016902044 0.0469376 0.013383915 0.015186799 0.0068860175 0.017872347 0.012463692 0.009709285 0.00779372 0.030993339 0.005133213 0.0020595454 0.0060909954 0.012075571 0.005014273 0.006203676 0.0073242188 0.06661283 0.017884865 0.016382461 0.0133964345 0.026185647 0.029152894 0.010980068 0.011606069 0.05039313 0.012883113 0.0038060897 0.0077561596 0.021453075 0.008876703 0.013590495 0.022373298 0.0130458735 0.013283754 0.012069311 0.012357271 0.013452775 0.012732873 0.013509114 0.013308794 0.013064654 0.012883113 0.01185647 0.012970753 0.012169471 0.012764173 0.013239934 0.012419872 413.0 12.397095 5120.0 0.04082031 0.00078125 0.0076171877 0.00078125 0.011132812 0.007421875 0.00078125 0.0037109375 0.0029296875 0.0013671875 0.0017578125 0.0017578125 0.00390625 0.004296875 0.0078125 0.0009765625 0.00234375 0.003515625 0.001953125 0.0046875 0.00234375 0.020117188 0.0013671875 0.0013671875 0.0021484375 0.0048828125 0.0037109375 0.001953125 0.0044921874 0.0015625 0.0015625 0.0013671875 0.0041015623 0.015820313 0.003125 0.005078125 0.13085938 0.0041015623 0.008007812 0.0076171877 0.002734375 0.0033203126 0.0009765625 0.0015625 0.00625 0.00625 0.004296875 0.0013671875 0.0078125 0.0046875 0.0064453124 0.0087890625 0.008398438 0.0060546873 0.0068359375 0.007421875 0.001953125 0.0037109375 0.0015625 0.0037109375 0.0033203126 0.0033203126 0.0044921874 0.01171875 0.003125 0.028125 0.0064453124 0.019921875 0.01953125 0.0625 0.009960937 0.008398438 0.013085937 0.030859375 0.0029296875 0.003515625 0.02890625 0.013671875 0.024804687 0.029882813 0.013085937 0.0052734376 0.034960937 0.025390625 0.04375 0.010546875 0.0041015623 0.08320312 0.0052734376 0.008203125 0.0013671875 0.0013671875 0.0021484375 0.000390625 0.0015625 0.00078125 5.4678965 0.0 0.0 0.0 2.0 81801.0 73728.0 0.0 0.0 84.0 0.0 1.0 0.0 0.0 0.0 1020426300.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 6.0 0.0 4.0 0.0 4.0 0.0 39424.0 1024.0 4096.0 4.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 7168.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -11264.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -39424.0 0.0 7680.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.6112776 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.9367537 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.5629826 0.0 3.5832314 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 6812.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -10856.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -39178.0 0.0 7264.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 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 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 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 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 50088.0 7264.0 65536.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 356.0 45056.0 0.0 0.0 0.0 0.0


Input: 0.4698017 0.0072115385 0.00796274 0.0034769918 0.0056554773 0.0014380151 0.002961882 0.0012555803 0.0022858002 0.00091217377 0.007758843 0.0010302198 0.00096583104 0.00096583104 0.001813616 0.00110534 0.0008799794 0.001244849 0.002446772 0.00079412776 0.00050437846 0.0019638564 0.000987294 0.00071900757 0.00055803574 0.0004399897 0.0006224245 0.00030048078 0.00039706388 0.0004399897 0.0007082761 0.0013950893 0.006610577 0.0018458104 0.0008585165 0.0030262705 0.0016526442 0.0017063015 0.0017492273 0.0016741072 0.0027579842 0.0005151099 0.004163805 0.0018458104 0.0035843062 0.0004614526 0.002940419 0.002425309 0.0020926339 0.0012341174 0.0016311813 0.0014702094 0.0013307006 0.001341432 0.0011589973 0.0011804602 0.0012985062 0.0015238668 0.0013843578 0.001223386 0.0022858002 0.00045072116 0.0017814217 0.001244849 0.0020389766 0.001577524 0.002489698 0.0021892171 0.001577524 0.0020067822 0.0013199691 0.0011697287 0.0004614526 0.0016633756 0.0016419127 0.0009014423 0.0005365728 0.0013950893 0.0017492273 0.0010624141 0.0005258414 0.0009550996 0.0012663119 0.002682864 0.0014702094 0.0009765625 0.0010087569 0.00081559067 0.0012341174 0.00091217377 0.00013950893 0.00065461884 0.0007404705 0.0006438874 0.0006224245 0.0037238153 0.00031121224 0.00508671 0.0026614012 0.0029833447 0.0034877232 0.010656335 0.000611693 0.0024575035 0.0014916724 0.004635989 0.00030048078 0.0012341174 0.0041959994 0.0033052885 0.0052798763 0.009529533 0.0032838255 0.0009014423 0.006664234 0.006234976 0.007576408 0.003273094 0.0009980254 0.0008585165 0.0024038462 0.002232143 0.0017599588 0.0051403674 0.001577524 0.0020604397 0.0030048077 0.00030048078 0.0024038462 0.0021784855 0.0013736264 0.0014380151 9.6583106e-05 0.0012985062 0.0022965316 0.0010624141 0.0011160715 0.0011697287 0.001480941 0.0004185268 0.0010731457 0.0020604397 0.001083877 0.0012877748 0.00016097185 0.0012555803 0.0011804602 0.0012555803 0.0011375344 0.0011697287 0.0010516827 0.0010516827 0.0010087569 0.0010087569 0.0009980254 0.0009229052 0.000987294 0.00091217377 0.0009229052 0.00091217377 0.0009765625 0.0009765625 0.0010194883 0.0011804602 0.0028867617 0.0011589973 0.0010194883 0.0009229052 0.0008799794 0.0008799794 0.00094436813 0.0008370536 0.00079412776 0.00084778504 0.00069754466 0.00091217377 0.0012770433 0.00069754466 0.0008799794 0.0005902301 0.0007082761 0.00057949865 0.0006331559 0.0005902301 0.00096583104 0.000729739 0.0005151099 0.00084778504 0.0005151099 0.00075120194 0.0005151099 0.000729739 0.0006438874 0.0009014423 0.00045072116 0.0008799794 0.0005258414 9.6583106e-05 0.00042925825 0.00069754466 0.0003434066 0.0007404705 0.0006653503 0.00065461884 0.0003648695 0.00067608175 0.00028974933 0.0004185268 0.00016097185 0.00031121224 0.00013950893 0.00010731456 0.0001717033 0.00023609203 9.6583106e-05 0.00019316621 8.585165e-05 0.00018243476 0.00012877748 8.585165e-05 0.00012877748 0.00016097185 0.00012877748 0.00022536058 0.00037560097 0.00019316621 0.00012877748 0.00015024039 0.0001717033 0.00015024039 0.00019316621 0.00013950893 0.00023609203 0.0013950893 0.0037774725 0.005290608 0.005054516 0.0047003776 0.004163805 0.004217462 0.00434624 0.004303314 0.0020175138 0.004990127 0.0018028846 0.0046467204 0.0028223728 0.0024575035 0.0025004293 0.002682864 0.0031872424 0.0023394574 0.0029511505 0.0026399381 0.0060310783 0.10228151 0.0777181 2.170139e-05 5.4253474e-06 0.0 0.0 1.0850695e-05 0.0 0.0 0.0 0.0 0.0 5.4253474e-06 5.4253474e-06 0.0 0.0 1.0850695e-05 0.010677083 2.170139e-05 0.0 3.7977432e-05 2.170139e-05 1.0850695e-05 0.0 3.2552085e-05 1.0850695e-05 1.6276043e-05 2.7126736e-05 2.170139e-05 1.0850695e-05 2.7126736e-05 2.7126736e-05 0.00016818577 0.029557291 0.0006727431 0.00062391494 9.765625e-05 3.7977432e-05 5.4253474e-06 1.6276043e-05 9.765625e-05 4.8828126e-05 4.340278e-05 7.052952e-05 2.170139e-05 7.052952e-05 7.052952e-05 0.000108506945 0.0017903646 0.029177517 2.170139e-05 0.00011935764 8.680556e-05 2.7126736e-05 2.7126736e-05 5.4253473e-05 0.00054796005 0.00015733507 0.00018446181 0.00011935764 3.2552085e-05 0.0004503038 0.00035807292 3.7977432e-05 0.0019314236 0.036143664 5.967882e-05 0.00011393229 6.510417e-05 3.7977432e-05 3.2552085e-05 1.6276043e-05 0.0014594184 0.000249566 0.00022243924 0.00016276042 3.7977432e-05 0.0014756945 0.00017361112 0.00023328993 0.0039605033 0.038449436 9.2230905e-05 0.00015733507 0.00013020834 5.967882e-05 2.170139e-05 3.2552085e-05 0.0023708767 0.000265842 0.00020073785 0.00015190973 5.967882e-05 0.0023763021 0.00015190973 0.00033094618 0.01070421 0.036230467 2.170139e-05 0.0001953125 0.000108506945 0.00013020834 0.00014105903 0.003266059 0.0005371094 0.0001030816 8.138021e-05 0.00029296876 0.0017252604 0.002327474 0.00017361112 0.00015733507 0.010064019 0.10832791 0.004703776 0.0054904516 0.001936849 0.0037434895 0.007145182 0.024810113 0.01674262 0.0004123264 0.00011935764 0.0024414062 0.0074761286 0.0005859375 0.00022786458 0.00052625866 0.02642144 0.08524848 0.003059896 0.0062282984 0.0058051217 0.013536241 0.00703125 0.017507596 0.011507162 0.0010199653 0.0093695745 0.010715061 0.0011555989 0.00038519964 0.0004394531 0.0011176215 0.048095703 0.033626303 0.0019097222 0.014084201 0.0027072483 0.0037543403 0.0015190972 0.0038085938 0.0070692273 0.007861328 0.0031792535 0.0019259983 0.00035264756 0.0006510417 0.00047743056 0.012760417 0.026535373 0.021034071 0.001828342 0.009168837 0.010172526 0.001812066 0.0016384549 0.005137804 0.0061469185 0.0111056855 0.0024739583 0.0009440104 0.0003797743 0.00020073785 0.00023328993 0.015109592 0.023725044 0.009288195 0.001936849 0.0010416667 0.0013943142 0.0007432726 0.0009331597 0.002951389 0.0013671875 0.00077582465 0.00021158854 0.00023871528 0.00035264756 0.0003092448 0.00023328993 0.00022786458 0.00021701389 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 353.0 17.883852 6313.0 0.01679075 0.00047520988 0.0036432757 0.00095041975 0.0001584033 0.0 0.0 0.0003168066 0.0 0.0 0.0 0.0 0.0026928561 0.002059243 0.016949153 0.00095041975 0.0072865514 0.011880247 0.0036432757 0.0031680658 0.0026928561 0.0025344528 0.0006336132 0.0011088231 0.0015840329 0.0026928561 0.0012672264 0.0 0.0052273087 0.003801679 0.0052273087 0.0003168066 0.0001584033 0.01393949 0.0050689057 0.014731507 0.0068113417 0.010454617 0.0052273087 0.003801679 0.0023760495 0.008078568 0.0001584033 0.00079201645 0.0039600823 0.005860922 0.0030096625 0.0028512592 0.0039600823 0.0001584033 0.0063361316 0.022176461 0.008078568 0.0015840329 0.0030096625 0.0017424362 0.0 0.0003168066 0.0003168066 0.0 0.0014256296 0.0 0.0 0.030571835 0.0015840329 0.04371931 0.020592429 0.027086964 0.030096626 0.117060035 0.004118486 0.020117218 0.008712181 0.041501664 0.0006336132 0.004910502 0.03421511 0.02740377 0.04720418 0.056074765 0.012197054 0.00095041975 0.049105022 0.0481546 0.077776015 0.026611753 0.0050689057 0.004752099 0.008078568 0.01488991 0.0022176462 0.0 0.0001584033 0.0 0.0 0.0 5.16687 1.0 0.0 0.0 1.0 93184.0 122880.0 1.0 0.0 1.0 1.0 1.0 0.0 0.0 0.0 1541841800.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -2.0 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 48.0 0.0 4.0 0.0 6.0 0.0 90624.0 512.0 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 -90624.0 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 -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 -4.5560884 0.0 4.2239375 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 -90612.0 0.0 1532.0 0.0 0.0 0.0 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 98716.0 1532.0 106496.0 0.0 0.0 0.0 0.0 12.0 114688.0 28.0 98404.0 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: 0.09125448 0.013631179 0.01243612 0.0043485016 0.003965955 0.010297611 0.0027273684 0.0039801104 0.0044083074 0.0029605764 0.011277157 0.002353315 0.003770966 0.0027836354 0.0029212956 0.0041616517 0.0032390817 0.0031612276 0.0021629266 0.0023087258 0.019288337 0.0032698694 0.002281477 0.0020787027 0.0034227464 0.002701535 0.002710382 0.0025199933 0.0036145505 0.0026342974 0.0029354508 0.0044143237 0.003369664 0.002557151 0.0023872878 0.0035890709 0.004331515 0.0022025614 0.002461249 0.0028317634 0.019525083 0.0028006218 0.0031467185 0.0032581913 0.0023904727 0.002671455 0.0023933037 0.0018904374 0.0025207011 0.0027931903 0.0027326765 0.0029552684 0.003243328 0.0028338868 0.008233772 0.002533087 0.0031973235 0.0031948464 0.0025681213 0.002940759 0.0027149825 0.0031495495 0.0027949598 0.0057838466 0.011112955 0.0028370717 0.002688795 0.0038244023 0.0028105306 0.012365697 0.003890932 0.0033866505 0.0032663306 0.0033109197 0.0027885898 0.0025525505 0.002395427 0.0038626215 0.0027535555 0.0033431228 0.011149052 0.011361026 0.0032397893 0.0037069134 0.003270931 0.0032819014 0.003993204 0.0029336815 0.002760987 0.002925896 0.003228819 0.0031127457 0.0028108845 0.0025189319 0.0023908266 0.0023933037 0.0021434631 0.0023996737 0.0023816256 0.0033781573 0.0029085558 0.0028759986 0.0027514324 0.0024028586 0.0028611356 0.0036885117 0.0040314235 0.002662254 0.0024906213 0.0028268092 0.0029697774 0.002787882 0.0025345027 0.0031895381 0.0031396407 0.0032734082 0.0039889575 0.003942953 0.0028317634 0.0024407238 0.002295986 0.0024071052 0.0028122999 0.0024874364 0.0021604493 0.0032128943 0.002856889 0.004412554 0.012575549 0.00238658 0.0019654604 0.0038505895 0.0023943654 0.0032486364 0.002512208 0.0023359747 0.0025589205 0.0040523023 0.01250088 0.00663104 0.0031743213 0.004058318 0.0032727004 0.0035303265 0.0029811016 0.0031580427 0.0027560326 0.0029032477 0.0023925959 0.0028855535 0.0026226193 0.00215231 0.0021661115 0.0023763173 0.0033714334 0.0023165112 0.002665439 0.0024262147 0.0027928364 0.0032833167 0.011190809 0.0026130644 0.010862053 0.0029273117 0.0032688077 0.003279424 0.0028367178 0.0032479286 0.0030373689 0.0032744699 0.0027885898 0.0027149825 0.00285972 0.0033611709 0.0026070485 0.0024017969 0.002254228 0.0029060787 0.0023366825 0.0022733377 0.0029474827 0.0030179054 0.0028275168 0.0028908618 0.0029895948 0.003085143 0.00238021 0.002485667 0.002119753 0.0022712145 0.0021604493 0.003702667 0.0040484094 0.0023557923 0.0025833384 0.0028222087 0.0027620487 0.0026183727 0.0031155767 0.004284095 0.0029043092 0.002929081 0.002461249 0.0026162493 0.0025263634 0.0028289324 0.0026190805 0.0028112384 0.002821147 0.002691626 0.0034188537 0.002979332 0.0034814908 0.0025744913 0.0031226545 0.002239719 0.0029060787 0.002314388 0.0029347432 0.0029004165 0.0030621407 0.0027457702 0.0025115004 0.0026063407 0.002470804 0.0021749586 0.002616957 0.0030511704 0.002848042 0.0026088178 0.0027684185 0.0028678593 0.0044415724 0.0032355427 0.0028869691 0.0031845837 0.0030554167 0.0026537608 0.0029641152 0.0023844566 0.0025656442 0.0025833384 0.0026339435 0.0026548225 0.0032925177 0.0031219467 0.0027532016 0.0030893895 0.0030724031 0.0029188185 0.0034921071 0.0029708392 0.0041949167 0.0035805777 0.0048400434 0.012372067 0.0036217438 5.3112535e-07 3.5408357e-07 0.0 7.0816714e-07 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.478585e-06 0.0013757917 1.788122e-05 1.6464886e-05 9.206173e-06 2.6556268e-06 2.6556268e-06 7.258713e-06 3.5408357e-06 1.2392925e-06 1.4163343e-06 1.7704178e-06 1.2392925e-06 1.593376e-06 1.2392925e-06 5.3112535e-07 5.842379e-06 0.0019938445 3.8949194e-05 3.0097104e-05 1.575672e-05 9.383215e-06 3.186752e-06 2.1067972e-05 1.3809259e-05 1.8412346e-05 5.842379e-06 5.4882953e-06 2.478585e-06 5.665337e-06 3.0097103e-06 2.6556268e-06 5.842379e-06 0.002283308 5.2050287e-05 1.894347e-05 8.852089e-06 2.6202184e-05 1.6110802e-05 3.275273e-05 1.6287844e-05 1.9651638e-05 1.0091382e-05 8.852089e-06 1.2038841e-05 8.852089e-06 7.966881e-06 9.206173e-06 0.00036948622 0.001220172 6.975447e-05 3.55854e-05 2.3546558e-05 5.4882953e-06 4.4260446e-06 2.1422056e-05 9.560256e-06 7.0816714e-06 8.498006e-06 9.029131e-06 7.0816714e-06 6.9046296e-06 6.550546e-06 5.665337e-06 9.560256e-06 0.0023137592 8.444893e-05 6.231871e-05 3.1159354e-05 6.3735046e-05 3.965736e-05 7.595093e-05 5.0633953e-05 2.2484308e-05 2.1599099e-05 3.0097104e-05 2.5848101e-05 2.3546558e-05 2.1422056e-05 1.4340385e-05 1.9651638e-05 0.0020262434 0.000177927 8.657343e-05 3.470019e-05 8.993723e-05 2.7972603e-05 8.958315e-05 5.3820702e-05 1.5048552e-05 1.9297555e-05 2.0359805e-05 1.8412346e-05 1.8589388e-05 1.788122e-05 3.682469e-05 0.00016748153 0.003850659 0.00010020565 0.00028910924 0.0001292405 0.00033336968 7.736726e-05 0.00048952055 0.0002956598 2.7972603e-05 5.7715624e-05 3.5231315e-05 6.709884e-05 2.956598e-05 2.673331e-05 6.3735046e-05 0.00029070262 0.005516799 0.00043623097 0.00031655072 0.00027529997 0.0002393605 0.0001843005 0.00027777857 0.00018359233 0.00015615085 0.00012977164 0.0002220104 0.00013880077 0.00021935477 0.00019439188 0.00011613941 0.0004580071 0.0031532913 0.00014074822 0.0001834153 0.00016004578 0.0006490352 0.00030911496 0.0009184928 0.0005112967 9.684186e-05 9.365511e-05 0.0001834153 9.6664815e-05 0.00022926912 0.00016624224 8.5688225e-05 0.00063699635 0.0022898584 0.00013579105 0.00026202184 0.00014287273 0.00028450615 0.00014393497 0.000436408 0.0003156655 0.0002262594 6.5859545e-05 0.0001241063 9.9320445e-05 0.00011277562 8.621935e-05 4.2844113e-05 0.00030769862 0.0011690069 8.745864e-05 0.0001843005 0.00010091382 0.0004811996 0.000121096586 0.00041374666 0.00023971459 4.8155365e-05 4.921762e-05 5.5768163e-05 3.4346107e-05 6.1079416e-05 5.948604e-05 4.3552278e-05 0.00011419196 0.0026811208 0.0004948318 0.0005176702 0.0004558826 0.0004643806 0.00040772723 0.00019368372 0.00022714461 0.0007685384 0.00014145639 0.0004397718 0.000182176 0.00035603103 0.00020412919 0.00015030848 0.00029194192 0.027343927 0.006244441 0.0057834242 0.0044791573 0.007117611 0.007359627 0.00253754 0.0035686314 0.011152216 0.0018621255 0.0045901625 0.001991189 0.0040693055 0.002363331 0.0034898478 0.005757399 0.053657647 0.015251265 0.015112995 0.011370509 0.015977845 0.015708033 0.0067544985 0.007964048 0.018973392 0.006127593 0.013581229 0.006189735 0.008543505 0.0070783077 0.00766768 0.011216482 0.06262269 0.039392505 0.03892087 0.036979426 0.041428663 0.040652335 0.0333028 0.034550767 0.039538033 0.034672573 0.043978598 0.03379214 0.03261977 0.035090923 0.03449978 0.040510703 10796.0 8.190904 88429.0 0.0117382305 0.0047495733 0.00833437 0.014271337 0.012326273 0.008300444 0.008085582 0.008617083 0.005145371 0.006016126 0.010709156 0.010810933 0.011806082 0.006773796 0.0068755723 0.00401452 0.012710762 0.0060048173 0.013852921 0.0057899556 0.0093634445 0.006264913 0.18738197 0.012326273 0.015684899 0.010641306 0.0061631366 0.0063666897 0.009046806 0.011206731 0.008956338 0.010008029 0.0076558595 0.0073844553 0.012461975 0.011907858 0.005801264 0.010019338 0.009239051 0.008922412 0.0072035193 0.0074749235 0.0059822006 0.006491083 0.0056881793 0.0088545615 0.006638094 0.0077689444 0.007293987 0.010482986 0.008594465 0.009600922 0.008232594 0.0071695936 0.009872327 0.008164742 0.005190605 0.006253605 0.007429689 0.007079126 0.0057786475 0.0055411686 0.005213222 0.0056090197 0.0050322856 0.01038121 0.0064797746 0.010935327 0.009827093 0.018500717 0.006457158 0.006932115 0.006954732 0.013773762 0.008571848 0.00749754 0.010482986 0.008888487 0.012054869 0.012891699 0.008571848 0.00628753 0.013581517 0.011376359 0.015436113 0.00962354 0.007022583 0.007689785 0.0054280837 0.0061857537 0.0053149983 0.0057221046 0.0035734884 0.0073731467 0.0054280837 0.008379604 5.9718823 5.0 0.0 0.0 45.0 2825801.0 479232.0 0.0 0.0 328.0 0.0 1.0 0.0 0.0 0.0 1204205600.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 6.0 0.0 4.0 0.0 4.0 0.0 241664.0 4096.0 4096.0 4.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 40960.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -114688.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -241664.0 0.0 57344.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4.6888847 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.246079 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.682378 0.0 4.996124 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 39596.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -133076.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -241574.0 0.0 54728.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 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 -3.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 2.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 1.0 1.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 -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 -1.0 0.0 1.0 -2.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 2.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 -1.0 -1.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 3.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 1.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 1.0 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 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 1.0 -2.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 1.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 1.0 -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 -1.0 0.0 1.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 -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 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -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 0.0 1.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 -1.0 -2.0 0.0 0.0 -1.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 2.0 0.0 1.0 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 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 -1.0 1.0 0.0 0.0 -1.0 0.0 1.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 -2.0 0.0 0.0 -1.0 -1.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 -1.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 1.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 -1.0 0.0 -2.0 0.0 -1.0 0.0 0.0 0.0 1.0 1.0 0.0 -1.0 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 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 1.0 -1.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 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 -2.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 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 1.0 -1.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 220.0 278152.0 54728.0 421888.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1352.0 245760.0 0.0 0.0 0.0 0.0


Input: 0.056905422 0.00831961 0.0061799246 0.0056631984 0.005765088 0.004966605 0.004202432 0.0054261484 0.0050518597 0.0056382455 0.0037491266 0.004468593 0.0049551683 0.003168979 0.0043230364 0.004644301 0.0050435425 0.0037699204 0.0049385335 0.004158765 0.0043594255 0.0031741774 0.0041067805 0.0038437385 0.0050757728 0.003343647 0.0031585821 0.0029246516 0.0041546063 0.003438259 0.003785516 0.0037907143 0.0061799246 0.0038198256 0.0034860848 0.0030182237 0.004900065 0.004162924 0.0038406195 0.0037200153 0.0047295555 0.0038915644 0.0033322105 0.0030962005 0.004370862 0.0037252137 0.0037252137 0.0035775776 0.0055207605 0.003945628 0.0031034783 0.0028976195 0.003674269 0.0030722877 0.0026876018 0.0028612304 0.0041733207 0.003313496 0.0035224739 0.003349885 0.0040048906 0.003215765 0.0035027198 0.0034538542 0.0066113966 0.003947708 0.0036212446 0.0032209635 0.0041577253 0.0032209635 0.0035391091 0.003060851 0.005000915 0.0037792777 0.0037064992 0.0035817365 0.004128614 0.0031232326 0.0035609426 0.0034632115 0.0051714242 0.0036222844 0.0036482767 0.0033322105 0.0039321124 0.0033769172 0.0033623616 0.003532871 0.004650539 0.0036420384 0.0038063098 0.0035079182 0.0041109393 0.0033821156 0.0036836262 0.0037834365 0.0059148036 0.0036254034 0.0033374089 0.002952723 0.0040090494 0.0030462954 0.0032625513 0.0030286207 0.0049853195 0.0031617011 0.0031960108 0.0030494144 0.0035723792 0.0028300395 0.0030795655 0.0031908124 0.0045101806 0.0032864641 0.0032251223 0.0031398677 0.0038884452 0.0033259722 0.0032885436 0.003623324 0.004629745 0.0032906227 0.003478807 0.00316586 0.0040350417 0.0031928918 0.0034704893 0.0033405279 0.008664787 0.004599594 0.0040121684 0.0035245533 0.0043656635 0.00343514 0.0030223825 0.0033831554 0.0045434507 0.0038333416 0.0029548025 0.0031866536 0.0037262535 0.0027946902 0.002842516 0.0029787153 0.0052358853 0.0032032887 0.003498561 0.003020303 0.0036586735 0.0031783362 0.0033020594 0.0032615114 0.0045424113 0.0028362777 0.0030348587 0.0027031973 0.0035172754 0.0032272018 0.0029797552 0.003149225 0.0050154706 0.0034091477 0.0032708687 0.0027926108 0.0037730397 0.0030088664 0.0030525336 0.0031835346 0.004137971 0.003000549 0.0031201134 0.0030099063 0.0036472369 0.0028310793 0.002913215 0.0030265413 0.004674452 0.0031086768 0.0038406195 0.0028539526 0.0035619822 0.003149225 0.0029859932 0.003118034 0.0042585754 0.0031471455 0.0033363693 0.0031783362 0.003650356 0.003185614 0.0033311709 0.003350925 0.006727842 0.004064153 0.0037189757 0.00333325 0.004122376 0.003245916 0.0033041388 0.0032209635 0.0043323934 0.0033290915 0.0031169944 0.0030795655 0.0036461973 0.0029807948 0.0030733272 0.0027926108 0.004246099 0.0032719083 0.0030920417 0.0029974298 0.0037096185 0.0030213427 0.002932969 0.0029402468 0.003976819 0.0031086768 0.0027198324 0.0026345777 0.003532871 0.0029423262 0.0035806966 0.0028799449 0.004959327 0.0032324002 0.0033966713 0.0029714375 0.0038063098 0.0030670892 0.0032001697 0.0029048973 0.004447799 0.00545526 0.0034673703 0.0031325899 0.003788635 0.003078526 0.0032469558 0.003188733 0.0046183085 0.003316615 0.0034153857 0.0030421366 0.0037387297 0.0030858037 0.0033114166 0.0032438368 0.0043490287 0.003027581 0.0031845744 0.0028643494 0.004017367 0.0030899623 0.0042273845 0.004533054 0.011717709 0.0 0.0 0.0 0.0 0.0 1.0411114e-06 3.1233342e-06 0.0 1.0411114e-06 2.0822229e-06 0.0 0.0 1.0411114e-06 0.0 1.0411114e-06 0.0020603596 4.1644457e-06 2.0822229e-06 6.2466684e-06 5.205557e-06 1.0411114e-06 3.1233343e-05 1.1452225e-05 0.0 0.0 1.0411114e-05 0.0 0.0 0.0 0.0 0.0 0.0009541786 2.6027785e-06 6.2466684e-06 1.3013892e-05 9.370003e-06 5.7261127e-06 5.205557e-05 2.290445e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0028739881 3.5918343e-05 2.8110007e-05 1.093167e-05 2.2383896e-05 3.4877234e-05 4.268557e-05 1.8219449e-05 3.5918343e-05 5.205557e-06 9.890558e-06 1.6137226e-05 2.6548341e-05 7.2877797e-06 1.7178338e-05 1.3013892e-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 0.00088338304 1.1972781e-05 1.2493337e-05 8.328891e-06 1.3534448e-05 1.6137226e-05 1.3534448e-05 1.1452225e-05 1.093167e-05 1.3534448e-05 6.767224e-06 1.3534448e-05 1.1972781e-05 1.0411114e-05 1.8219449e-05 9.890558e-06 0.0016314216 6.559002e-05 5.7261128e-05 4.8932237e-05 4.7891124e-05 3.0712785e-05 2.290445e-05 0.0005569946 3.019223e-05 1.7178338e-05 1.9781117e-05 0.0002784973 2.0822228e-05 0.00027537395 1.6657783e-05 7.808336e-05 0.0007459563 3.748001e-05 3.4356675e-05 2.0822228e-05 2.2383896e-05 1.7178338e-05 1.4055004e-05 1.1972781e-05 1.6657783e-05 2.290445e-05 1.926056e-05 1.7698894e-05 6.767224e-06 4.6850014e-06 2.290445e-05 5.101446e-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 0.0013237732 3.748001e-05 4.3206124e-05 6.038446e-05 4.268557e-05 3.1753898e-05 9.213836e-05 5.8822796e-05 3.9562234e-05 5.7781683e-05 4.4247234e-05 4.3206124e-05 7.860391e-05 7.808336e-06 8.849447e-06 0.00016189282 0.0011738531 6.975447e-05 4.6329456e-05 4.6329456e-05 3.852112e-05 3.8000566e-05 4.7891124e-05 6.038446e-05 5.2576124e-05 5.101446e-05 6.871335e-05 5.205557e-05 7.548058e-05 1.4575559e-05 4.4247234e-05 0.00025246953 0.0045970273 0.00029515507 0.0002738123 0.0002654834 0.00031077175 0.00023997617 0.00033107342 0.00031389509 0.00032795008 0.00035397787 0.00032795008 0.00035397787 0.000523679 0.00015200226 0.00018740006 0.00074075075 0.003210267 0.0002748534 0.00030192232 0.00024986675 0.00028994953 0.00028370286 0.00034460786 0.0009375208 0.00040915678 0.00035293677 0.00032586788 0.0006720374 0.00046485625 0.0004372668 0.00017542727 0.000864643 0.0022607734 0.00018271506 0.00029151118 0.00024622286 0.0002998401 0.0002961962 0.0002868262 0.0004044718 0.00044507513 0.0003243062 0.00024726396 0.0003185801 0.000462774 0.00016241337 0.00019052338 0.0010431936 0.00034616955 5.465835e-05 4.3206124e-05 4.5288347e-05 5.465835e-05 4.841168e-05 5.3617237e-05 5.205557e-05 7.079558e-05 4.841168e-05 3.852112e-05 4.9452792e-05 4.4767792e-05 2.6548341e-05 4.216501e-05 4.737057e-05 0.0993517 0.06201328 0.062458877 0.055308003 0.06059685 0.059547927 0.054917064 0.05445429 0.060460985 0.053118024 0.052087326 0.05290928 0.05639232 0.050499108 0.056629695 0.053818174 4008.0 5.7043414 22863.0 0.017189344 0.010453572 0.009403841 0.008616542 0.013427809 0.012421817 0.011809474 0.011459564 0.012553033 0.009753751 0.008485326 0.008616542 0.013908936 0.010541049 0.011765735 0.010016183 0.016751958 0.011896951 0.008747758 0.007566811 0.009841228 0.008485326 0.007829243 0.00835411 0.010278616 0.008441587 0.009622534 0.008878975 0.011547041 0.008966452 0.009666273 0.009185147 0.01806412 0.010890959 0.010366093 0.00905393 0.010934698 0.008835236 0.010672266 0.00831037 0.014258846 0.011634518 0.009753751 0.008966452 0.011459564 0.009360101 0.011678257 0.009578795 0.014827451 0.009622534 0.009972445 0.009010191 0.012071907 0.009360101 0.009578795 0.009797489 0.013690242 0.009228885 0.010541049 0.009535057 0.011153392 0.009841228 0.010409833 0.010716004 0.017976644 0.011022176 0.009710012 0.008179154 0.0131216375 0.0082666315 0.009403841 0.00835411 0.015483532 0.009316362 0.008922714 0.00870402 0.011372086 0.008004199 0.009928706 0.007872983 0.013209115 0.008004199 0.00870402 0.008835236 0.011415824 0.009403841 0.008179154 0.007872983 0.010890959 0.008835236 0.011896951 0.008441587 0.011328347 0.008966452 0.009972445 0.008747758 6.5544596 0.0 0.0 0.0 14.0 961824.0 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: 0.16022438 0.010248229 0.004729515 0.0048601017 0.008737964 0.00398006 0.002935365 0.002520894 0.007926053 0.0022824309 0.0027252906 0.0024925054 0.0065123094 0.0031056958 0.0020326127 0.004831713 0.005825309 0.0019077035 0.0019871911 0.0016749182 0.0037188863 0.0027423238 0.0024868278 0.0015272984 0.0038948946 0.002004224 0.0014818768 0.0016522075 0.003287382 0.0019077035 0.002043968 0.0015613645 0.00803393 0.0016181413 0.001623819 0.0016465298 0.012791833 0.002043968 0.0014761991 0.0016408521 0.0022597201 0.0015670422 0.001442133 0.0024981832 0.0019133812 0.0022199764 0.0019758358 0.001532976 0.0035826217 0.0019758358 0.0021745549 0.004542151 0.0022597201 0.002668514 0.0015783976 0.0016919513 0.0027025798 0.002571993 0.0018111828 0.0042980104 0.0022824309 0.0022597201 0.0019020258 0.002157522 0.0070233014 0.02029206 0.001879315 0.0023959847 0.010214162 0.007608103 0.0034179688 0.005126953 0.0032760266 0.0051894076 0.0016692405 0.001697629 0.0038721839 0.0049963663 0.0048714573 0.0016578852 0.010674056 0.0035769441 0.0035315226 0.0051723747 0.0031795057 0.0034747457 0.005314317 0.0036223656 0.0049679778 0.0039573493 0.0016067859 0.0024527616 0.0027139352 0.0029296875 0.0036280432 0.0030602743 0.0021859102 0.0053597386 0.0019815133 0.0031113736 0.004252589 0.006625863 0.00248115 0.0021348111 0.006796194 0.0045762174 0.0051042424 0.0018509266 0.004439953 0.0024754724 0.00420149 0.0039630267 0.003082985 0.0015783976 0.0052802507 0.004689771 0.010282295 0.009544195 0.0023903071 0.0020666788 0.0025095385 0.002151844 0.001697629 0.0016124636 0.0026571585 0.0034179688 0.0021972656 0.001953125 0.0037188863 0.0026969023 0.002208621 0.010691089 0.005677689 0.0060126726 0.0015727199 0.0012377362 0.0029296875 0.008465434 0.0026401253 0.019684548 0.0032419604 0.01171875 0.0016522075 0.0017941497 0.0018509266 0.0013172239 0.0014307776 0.0019928687 0.0022483647 0.0017316951 0.0012831577 0.0012718023 0.0018111828 0.0014478107 0.0012547693 0.0013967115 0.0017941497 0.0016294967 0.0016011082 0.0016067859 0.0021291333 0.0027480014 0.0016919513 0.0025492823 0.0020496456 0.0017544059 0.0016351744 0.0013399346 0.0019020258 0.0012888354 0.0014705214 0.0015897529 0.0017430505 0.0013796784 0.0012150254 0.0013569676 0.0021631995 0.0015556868 0.001515943 0.0021745549 0.001623819 0.0016862736 0.0018225382 0.0021688773 0.0026969023 0.0014818768 0.0013853561 0.0018168605 0.0026741915 0.0017146621 0.0027480014 0.0018395712 0.006188681 0.0030034974 0.0027650346 0.0050133993 0.0051212753 0.0019020258 0.0045591844 0.0043604653 0.0036110103 0.0026741915 0.0017487282 0.0016294967 0.0107421875 0.0017373728 0.0020666788 0.0016805959 0.0024016625 0.0019815133 0.0022937863 0.0024414062 0.002009902 0.0017089844 0.0015556868 0.0014478107 0.0026060592 0.001697629 0.0013967115 0.0017544059 0.0020950672 0.0013058685 0.0013967115 0.0016862736 0.0027082576 0.0017089844 0.0014818768 0.001515943 0.0023392078 0.0015727199 0.001515943 0.0013115462 0.011690361 0.004922556 0.0014932322 0.004950945 0.0031454398 0.0022029432 0.0016578852 0.001623819 0.003122729 0.002043968 0.0015897529 0.0020155795 0.0024243733 0.0013853561 0.0031000182 0.0023959847 0.004144713 0.0022313318 0.0017430505 0.0019985465 0.0037756632 0.0016522075 0.004326399 0.032805685 0.023391813 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0051312363 4.5687135e-05 5.4253473e-05 1.1421784e-05 0.008829039 0.0029668084 9.9940604e-05 5.9964364e-05 8.280793e-05 6.281981e-05 4.854258e-05 1.7132676e-05 3.426535e-05 4.283169e-05 2.2843567e-05 3.426535e-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 0.0048199925 9.708516e-05 4.854258e-05 0.00010279605 6.281981e-05 9.708516e-05 4.5687135e-05 9.9940604e-05 6.281981e-05 3.9976243e-05 3.9976243e-05 9.137427e-05 8.851882e-05 5.1398027e-05 7.9952486e-05 1.9988121e-05 0.0045687133 0.00011992873 5.4253473e-05 2.5699013e-05 0.0003055327 4.5687135e-05 0.00010279605 0.00016276042 7.709704e-05 3.7120797e-05 9.9940604e-05 3.7120797e-05 6.85307e-05 4.5687135e-05 2.5699013e-05 7.1386145e-05 0.015670687 0.0006824516 0.002061632 0.00025984558 0.005116959 0.0014448556 0.004654377 0.0023471764 0.0003854852 0.00071957236 0.00015419407 0.000105651496 8.566338e-05 6.567525e-05 7.9952486e-05 0.0012535407 0.010619403 0.0003112436 0.00035121985 0.0004054733 0.0021444398 0.00032552084 0.0006538971 0.00042546145 0.00038834065 0.00017703764 0.000262701 0.00013991685 0.00013420595 8.280793e-05 7.1386145e-05 0.001050804 0.017558137 0.00048542581 0.0013906022 0.00063676445 0.0035493192 0.0011221903 0.006581803 0.0032837628 0.0011735882 0.00059393275 0.00032837628 0.00023414656 0.0010079724 0.00021415844 0.0005653783 0.002210115 0.01774374 0.00076240406 0.0029096995 0.0018788835 0.0044173747 0.002138729 0.012401202 0.006807383 0.0004968476 0.000736705 0.00042260598 0.0003055327 0.00038262975 0.000262701 0.00023985746 0.0007252833 0.0028668677 6.85307e-05 0.0006653189 0.0007652595 0.0026784083 0.0010679368 0.0014248675 0.0010593705 0.00037120798 0.00011992873 4.5687135e-05 8.851882e-05 2.5699013e-05 3.1409905e-05 9.137427e-05 0.00032552084 0.0049770423 0.0006624634 0.0012135645 0.00029125548 0.0014134457 0.0012763843 0.001107913 0.00039976242 0.0041603846 0.00037120798 0.0002998218 0.00044259412 0.0030124953 0.0008080912 0.0026669865 0.006136353 0.052668698 0.008126599 0.011567411 0.0055795414 0.018054985 0.015859146 0.007998104 0.009231657 0.03115006 0.0021415844 0.0027726379 0.0035950064 0.01843476 0.003980492 0.009251645 0.015961943 0.045861315 0.008232251 0.0076611615 0.009294476 0.019214295 0.017789427 0.0069844206 0.013928865 0.028328879 0.0021301627 0.0045258817 0.005982159 0.015339456 0.004717197 0.01283523 0.025244998 0.020482114 0.02029651 0.018523278 0.021432977 0.019842494 0.020059507 0.019745408 0.019579792 0.019685443 0.018626073 0.018957306 0.020193713 0.020499246 0.019608347 0.020156592 0.018100671 927.0 15.891047 14731.0 0.04439617 0.0018328695 0.0021044058 0.0014255651 0.0067884056 0.002443826 0.0007467246 0.00251171 0.0029190143 0.0015613332 0.0015613332 0.0019686376 0.0015613332 0.0069920574 0.008757043 0.0019007535 0.0035299708 0.0022401738 0.002783246 0.0022401738 0.0016971014 0.0014255651 0.002579594 0.0018328695 0.0021722896 0.0019686376 0.0021722896 0.0018328695 0.002443826 0.0016292173 0.0018328695 0.0023080579 0.00502342 0.039915822 0.0019686376 0.00502342 0.066051185 0.0044124634 0.005566492 0.03516394 0.003801507 0.034281448 0.0010861448 0.0010861448 0.0067205215 0.0031905505 0.033874143 0.0019686376 0.04419252 0.0040051593 0.0054986086 0.008892811 0.006313217 0.0031905505 0.0080103185 0.005566492 0.033195302 0.002375942 0.0014934492 0.0014934492 0.002375942 0.0014934492 0.0019007535 0.003869391 0.0026474781 0.03984794 0.007806666 0.019482724 0.01656371 0.05573281 0.00855339 0.009978956 0.016360058 0.037743535 0.004684 0.0040051593 0.023148462 0.011132984 0.03550336 0.032380693 0.014187767 0.0016971014 0.03563913 0.02830765 0.037879303 0.01690313 0.004751884 0.0049555358 0.005566492 0.007738782 0.0030547825 0.0014934492 0.0017649854 0.0006109565 0.0011540289 0.0015613332 5.5839777 1.0 0.0 0.0 5.0 176128.0 188416.0 0.0 0.0 71.0 0.0 1.0 0.0 0.0 0.0 1182850000.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 7.0 10.0 4.0 0.0 4.0 0.0 81920.0 4096.0 4096.0 5.0 0.0 0.0 2.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 20480.0 0.0 0.0 -61440.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -81920.0 0.0 4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.0455 0.0 0.0 -7.77672 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.1245284 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.598474 0.0 4.80528 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 20448.0 0.0 0.0 -61440.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -13180.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -80876.0 0.0 468.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 2.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 60.0 104828.0 468.0 122880.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 98352.0 0.0 0.0 292.0 86016.0 64.0 104720.0 0.0 0.0