Input: 0.03720526 0.005757924 0.0045365463 0.005357261 0.0048936745 0.0041845203 0.0038097058 0.0032811563 0.005547389 0.0029815088 0.0042181923 0.0033842132 0.003952897 0.0031794598 0.0032127919 0.009933941 0.0042164917 0.0036365837 0.0025097597 0.0032508855 0.0040290845 0.003366867 0.003093069 0.0028461404 0.0027971629 0.0037709319 0.0029525985 0.0027889998 0.002886955 0.0035093783 0.0033896551 0.0030308266 0.0071167117 0.0026002321 0.0038559625 0.0027148533 0.008668348 0.004014119 0.0041794186 0.0030787839 0.003955278 0.0033770707 0.0036631133 0.0040147994 0.0039824876 0.0028253929 0.003807325 0.0027849185 0.0052001243 0.0047742915 0.0033002032 0.0037205939 0.0036376042 0.0040039155 0.0030981707 0.0045028743 0.0040372475 0.004171936 0.0040712594 0.0038277323 0.0034093824 0.004103911 0.0034678832 0.0039705834 0.0030049772 0.003673317 0.0030080385 0.004033166 0.005929686 0.0044498155 0.0038056243 0.0044045793 0.0031291218 0.003740321 0.0033379567 0.0025777842 0.0049382304 0.0045851837 0.0031665352 0.002959401 0.004514098 0.0028440997 0.0036661744 0.0044212453 0.0054592974 0.004138604 0.0036889627 0.0033848935 0.0035325065 0.003617537 0.0032981625 0.0027117922 0.004618176 0.0041831597 0.0039593596 0.0032763947 0.0030957898 0.0036308018 0.0028165497 0.0037416816 0.0028668877 0.0041045914 0.003938272 0.008056808 0.003463802 0.0046759965 0.004170575 0.0033488406 0.0034944129 0.0034719647 0.004091667 0.003232519 0.0036471277 0.002942395 0.0033369365 0.003182181 0.0059137 0.0036389646 0.003266191 0.0032372805 0.0032546269 0.0036001906 0.003813107 0.003210751 0.00382127 0.0036301215 0.004244722 0.0049855076 0.004395736 0.004451856 0.0034399934 0.0063694636 0.0038222903 0.0047821146 0.0039981334 0.0029920528 0.0036362438 0.007341192 0.0037729726 0.010201958 0.0035124393 0.00560589 0.0042916588 0.003519922 0.0035444107 0.0036182173 0.0029114438 0.0031002115 0.0037631092 0.0036246795 0.0036712762 0.0029131444 0.002128143 0.0033814923 0.002608055 0.0034552987 0.0028444398 0.0031386453 0.0027583889 0.0034155045 0.0039114025 0.0028009042 0.0042324774 0.0026308433 0.0026753992 0.0030066778 0.003578083 0.0027692728 0.0031668753 0.0029464765 0.0035637978 0.004257987 0.0026264216 0.0024056826 0.00304035 0.0032100708 0.0038665063 0.003229458 0.0035699198 0.0029321914 0.0030417105 0.0034777469 0.0035386286 0.0035100584 0.0028080468 0.0036688955 0.0033559832 0.0031444274 0.0031583724 0.0035808038 0.0026036336 0.0032178937 0.0043209093 0.0038780703 0.0039566387 0.0035359077 0.0036940644 0.002722336 0.0040433696 0.0033481603 0.0038277323 0.0039675226 0.0035791032 0.003484209 0.0041494877 0.0045589944 0.0042273756 0.0040341862 0.0036688955 0.0044273674 0.0039539174 0.0041773776 0.0032951015 0.0038052842 0.00315225 0.0038263719 0.0029434152 0.0037716122 0.0023811937 0.0036542702 0.003937592 0.0043436973 0.0029573604 0.0037382802 0.003957999 0.0028604255 0.004136223 0.0031525902 0.0035444107 0.0028825335 0.003919565 0.0037168525 0.0040290845 0.003628761 0.0030998713 0.004674976 0.0033685677 0.0034437347 0.0031913642 0.0033740096 0.00412806 0.0034267285 0.0032454436 0.0038188891 0.003182181 0.0031787797 0.003227077 0.002694106 0.0039311294 0.0034161848 0.00323558 0.0036124352 0.004395736 0.004220233 0.004523962 0.0094502885 0.0045192386 3.232524e-06 1.3610627e-06 1.1909299e-06 1.0207971e-06 8.506642e-07 1.7013284e-06 1.7013284e-07 0.0 0.0 1.7013284e-07 1.7013284e-07 0.0 0.0 5.1039854e-07 0.0 0.00032869665 1.4121026e-05 1.5311956e-06 5.1039854e-07 6.8053134e-07 1.8714612e-06 1.7013284e-07 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.7013284e-07 6.8053134e-07 0.00032750572 4.0831883e-06 2.3818598e-06 0.0 4.0831883e-06 5.1039854e-07 2.0415941e-06 1.7013284e-06 6.8053134e-07 3.4026567e-07 6.8053134e-07 5.1039854e-07 1.7013284e-07 0.0 0.0 3.7429224e-06 0.0012276786 2.8242051e-05 1.378076e-05 7.826111e-06 1.8374347e-05 1.378076e-05 2.0756206e-05 9.697572e-06 1.4291159e-05 8.506642e-07 5.954649e-06 2.3818598e-06 5.103985e-06 2.8922582e-06 5.6143836e-06 1.6502885e-05 0.00046752504 4.253321e-06 3.232524e-06 6.1247824e-06 7.485845e-06 0.00016332752 9.357306e-06 6.2949152e-06 3.0623912e-06 1.1909299e-06 2.211727e-06 4.5935867e-06 6.8053134e-07 5.1039854e-07 2.0415941e-06 1.497169e-05 0.0003994719 1.2249565e-05 7.315712e-06 1.5822354e-05 0.00057623995 0.00035404644 8.506642e-07 1.8714612e-06 6.1247824e-06 2.5519926e-06 3.5727896e-06 8.506642e-07 1.5311956e-06 2.211727e-06 1.3610627e-06 7.655978e-06 0.0013442195 3.1474574e-05 4.899826e-05 6.056729e-05 0.00023070013 0.00039606926 7.366752e-05 5.6484103e-05 3.232524e-05 1.735355e-05 1.6673019e-05 1.9905543e-05 2.6200458e-05 9.527439e-06 3.0283645e-05 4.4574805e-05 0.00092484214 2.4839395e-05 0.0004471091 0.0001512481 0.00011058635 8.8979476e-05 0.00018629545 8.370536e-05 3.0623913e-05 4.5935867e-06 3.4026568e-06 9.697572e-06 3.9130555e-06 1.3610627e-06 2.8922582e-06 1.6502885e-05 0.0007963918 2.7391387e-05 0.0007206827 0.00025043555 0.00016332752 0.000114669536 0.00021981163 8.0983235e-05 2.0075675e-05 7.451818e-05 0.00028990637 1.497169e-05 1.2249565e-05 2.27978e-05 2.3818597e-05 0.00030385726 0.0016002695 4.2873475e-05 0.0020524827 0.000933689 0.0008719308 0.00065467117 0.0017118766 0.0007339531 5.9546495e-05 3.36863e-05 4.474494e-05 4.253321e-05 5.0359322e-05 7.894164e-05 8.0983235e-05 6.6692075e-05 0.0009083392 3.113431e-05 0.00030079487 8.829894e-05 0.00031253402 0.00020262822 0.0005920623 0.000317638 2.1436737e-05 4.117215e-05 0.00011926312 3.6748694e-05 3.1474574e-05 4.1512412e-05 2.7221255e-05 6.362968e-05 0.0012722533 6.856353e-05 0.00021589857 0.00013304388 0.00024992513 0.000121815116 0.00045714693 0.00021504791 0.00017574722 4.474494e-05 5.2060648e-05 7.655978e-05 6.1588085e-05 8.268456e-05 0.00010667329 0.00015056756 0.012650567 0.001166771 0.002209345 0.0010381506 0.0020929743 0.0012484348 0.0028361145 0.0020533332 0.004113812 0.0008763543 0.00044421686 0.00095393485 0.0017115363 0.0012224044 0.0017746557 0.0029802169 0.022996686 0.002871502 0.005484062 0.0028965117 0.0050672367 0.0048312624 0.0027226359 0.0039627342 0.0141314035 0.0014415355 0.0012138978 0.0027505376 0.0047433036 0.0025860192 0.0033499156 0.007452499 0.0057817944 0.0011358068 0.0010192659 0.0009911939 0.0021537116 0.0022166609 0.0009743508 0.0015756002 0.0036860981 0.00041155133 0.0005517408 0.0005508901 0.0017311017 0.0012351645 0.0015473582 0.0030091396 0.049789887 0.046615377 0.05211713 0.056731816 0.048887502 0.05090834 0.052390877 0.050631363 0.05385334 0.047935437 0.04807767 0.04824457 0.052957248 0.052758362 0.050031133 0.049568202 14376.0 8.648094 124325.0 0.07611502 0.004182586 0.01302232 0.005630404 0.0067403982 0.010737985 0.016094912 0.00606475 0.006619747 0.005509753 0.0067806155 0.0071586566 0.00662779 0.008083652 0.014944701 0.0053327973 0.019070983 0.014542529 0.008075608 0.0116066765 0.0076171327 0.009394731 0.0064910515 0.010729942 0.009064951 0.00768148 0.008791474 0.005163885 0.0055982303 0.009089081 0.005485622 0.008107782 0.0040860646 0.012386889 0.009072994 0.015226222 0.017510558 0.012274281 0.008461693 0.011888197 0.0056062737 0.010858636 0.0058636637 0.0064186607 0.009708426 0.00847778 0.009241906 0.008341041 0.008783431 0.0058797505 0.014920571 0.016304042 0.013046451 0.021411622 0.008373216 0.009627991 0.0063704 0.007971044 0.007094309 0.0064669214 0.006844963 0.0073034386 0.010335813 0.01374623 0.0057188817 0.017277297 0.0074160467 0.014132314 0.008831691 0.021282928 0.009652121 0.023108788 0.008083652 0.018129902 0.0072471346 0.007223004 0.010794289 0.009772773 0.01351297 0.011654937 0.0076895235 0.0053810575 0.013336015 0.012708627 0.015258395 0.009394731 0.007818218 0.009660165 0.0067484416 0.0077699577 0.008461693 0.005421275 0.0060808365 0.0074321334 0.0070621357 0.009877338 6.3526206 0.0 0.0 0.0 39.0 2940122.0 540672.0 0.0 0.0 153.0 0.0 1.0 0.0 0.0 0.0 1172411500.0 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 446464.0 4096.0 4096.0 5.0 0.0 0.0 1.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 32768.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -24576.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -446464.0 0.0 24576.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 10.33116 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3.1128526 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.6575556 0.0 6.769072 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 28582.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -31736.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -444976.0 0.0 21608.0 0.0 0.0 0.0 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 -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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 -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 -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 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 1.0 0.0 -1.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 1.0 0.0 -1.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 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 -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 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 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 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 -1.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 1.0 0.0 -1.0 0.0 1.0 0.0 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 -2.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 200.0 468440.0 21608.0 516096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 648.0 450560.0 0.0 0.0 0.0 0.0


Input: 0.08276199 0.0042460253 0.0035359876 0.0045328806 0.0032122105 0.0030645225 0.0028969536 0.003166768 0.0030219203 0.002845831 0.0028373105 0.0027435855 0.002979318 0.0026924629 0.0024254886 0.003053162 0.0032292514 0.004089817 0.002470931 0.002735065 0.0027009833 0.0029679574 0.0068106814 0.0029310354 0.0027776673 0.002374366 0.0027066635 0.0024908122 0.0025476152 0.0026129386 0.0027407454 0.002789028 0.0028401506 0.006858964 0.0026839424 0.0026470204 0.0027833476 0.0026498605 0.0025674962 0.002414128 0.0028827528 0.0026385 0.006918607 0.0027833476 0.0028259498 0.00264134 0.0026072583 0.0025618158 0.0030986043 0.00264134 0.006711276 0.0030900838 0.0054559293 0.0030616825 0.0025987378 0.0026356599 0.0067936406 0.0027265446 0.0028401506 0.0027265446 0.0026839424 0.0026100983 0.006876005 0.0029736378 0.0029253552 0.002754946 0.0037774004 0.006898726 0.003169608 0.0032548127 0.0028969536 0.0030929241 0.0027237046 0.0029509165 0.0028174294 0.003053162 0.0030446416 0.002979318 0.0028827528 0.0029736378 0.0027606264 0.0026697416 0.003112805 0.0030048795 0.0027634667 0.002791868 0.0030588422 0.0030219203 0.0025390948 0.0068362425 0.0028884332 0.00339114 0.0025504553 0.0028231097 0.002845831 0.0029338757 0.0028827528 0.0031326863 0.0069242874 0.0033116157 0.0028202697 0.0032036898 0.0031554073 0.0027293847 0.0027691468 0.002956597 0.0031582476 0.0026640613 0.003430902 0.0029452362 0.0027151841 0.002865712 0.0028685522 0.0025958978 0.002808909 0.0031383664 0.0070038117 0.0040415344 0.003320136 0.0034791846 0.0034763443 0.0031809688 0.0037063966 0.0046095643 0.0032292514 0.00339114 0.0031355263 0.0031525672 0.0037774004 0.003317296 0.0032008498 0.0033684187 0.003169608 0.003885326 0.0032576527 0.0032576527 0.0031184854 0.0032036898 0.0029310354 0.003996092 0.0048964196 0.003260493 0.003260493 0.0032576527 0.0034564633 0.002885593 0.0032377718 0.0028259498 0.0038455639 0.0034706641 0.007373031 0.003300255 0.0034223816 0.003561549 0.0030900838 0.0034990655 0.0035246268 0.0033996603 0.0033456974 0.0033968203 0.003430902 0.0025050128 0.0027776673 0.002544775 0.002621459 0.0027634667 0.0025902174 0.0026924629 0.0025362545 0.0030900838 0.0026811021 0.002527734 0.002678262 0.0030332808 0.0026839424 0.0026811021 0.0028742324 0.006958369 0.002905474 0.0068930457 0.002394247 0.0032462922 0.006887365 0.004322709 0.0025958978 0.0028628719 0.0029679574 0.0027095038 0.0028969536 0.0027123438 0.0027691468 0.002581697 0.0037916012 0.0027861877 0.0028685522 0.0028884332 0.003070203 0.0041778614 0.0030673626 0.002735065 0.002695303 0.0027577863 0.0031582476 0.0025476152 0.002754946 0.002584537 0.0028145893 0.0030077195 0.0031042846 0.0026100983 0.0030219203 0.0026271394 0.002601578 0.0028259498 0.0032548127 0.004169341 0.0033059353 0.0035217868 0.0038427238 0.003280374 0.0073758713 0.0031894892 0.0039108875 0.0036069914 0.0035785898 0.0071657 0.003260493 0.0033030952 0.0030673626 0.0071003768 0.0033570582 0.003487705 0.0033655786 0.0031241658 0.007182741 0.0027151841 0.0073247487 0.0029906787 0.0031440468 0.0035587088 0.0031980097 0.0031980097 0.0030503217 0.0029509165 0.0032008498 0.0031071247 0.002899794 0.0033712587 0.003655274 0.0031554073 0.0031894892 0.0034593034 0.0034053407 0.0033797792 0.004095497 0.06298034 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0026270102 0.0 3.7120797e-05 1.427723e-06 0.0 0.0 0.0 0.0 0.0 0.0 3.7120797e-05 1.427723e-06 0.00010707922 2.855446e-06 3.7120797e-05 7.281387e-05 0.0051754955 1.427723e-05 1.9988121e-05 1.7132676e-05 2.427129e-05 5.710892e-06 1.7132676e-05 1.1421784e-05 2.9982182e-05 6.1392086e-05 1.7132676e-05 3.7120797e-05 7.281387e-05 3.2837626e-05 6.281981e-05 0.0002484238 0.0037691887 2.427129e-05 2.427129e-05 1.2849507e-05 1.1421784e-05 9.994061e-06 3.1409905e-05 8.566338e-05 0.00015133864 0.0061135096 2.7126736e-05 1.2849507e-05 0.00015847725 3.7120797e-05 4.5687135e-05 0.018724587 0.004881385 1.427723e-05 4.854258e-05 0.000121356454 0.00010422378 7.138615e-06 1.5704953e-05 4.5687135e-05 0.00028268914 0.0013620477 0.00063676445 0.00010707922 0.00025841786 7.709704e-05 0.0001556218 0.00650185 0.0047286185 5.853664e-05 3.7120797e-05 0.00073813275 0.0019702576 8.9946545e-05 3.7120797e-05 4.854258e-05 5.5681194e-05 0.00013277824 7.709704e-05 8.9946545e-05 6.710298e-05 0.00010279605 9.708516e-05 0.0004411664 0.0043988144 5.710892e-06 1.8560399e-05 0.00014705547 0.0014248675 0.0010379546 0.00042403373 0.004864252 0.0064561632 0.00032552084 0.00022843567 1.427723e-06 0.00066674664 0.0048785293 0.0060364124 0.02464107 0.024339821 0.00067531294 0.0006824516 0.0025684736 0.00073099416 0.0014305784 0.0026869746 0.0037192183 0.0025284973 0.0016361705 0.0017175507 0.0020473548 0.0028540182 0.0039919135 0.001850329 0.007943851 0.014478538 0.000726711 0.0003740634 0.00059393275 0.0003983347 0.0004411664 0.00061820407 0.0014448556 0.0016818576 0.0017618102 0.001133612 0.00064961397 0.00079381396 0.0011364674 0.0009080318 0.007946706 0.007985255 0.0012806675 0.00017846537 0.0005568119 0.00017560992 0.00017989309 0.00023985746 0.0014148734 0.00074955454 0.00036264164 0.00024271291 0.0013520536 0.0003783466 0.00045687135 0.0007666872 0.004147535 0.0037834658 0.00019702577 0.00012563962 0.0007666872 0.00064390304 0.00021558617 0.00018845942 0.0002055921 0.000448305 0.00021558617 0.00011421784 0.00013991685 0.0002241525 0.0002926832 0.00034408123 0.00086662784 0.0026841192 0.00016133269 0.00019845349 0.00018274854 0.0002484238 0.00018988716 0.00039119608 0.00026983963 0.00026983963 0.00018845942 0.00019131487 0.00017275447 0.00016276042 0.00017703764 0.00016561586 0.00019417032 0.0064404584 0.0008723387 0.00087804964 0.00073813275 0.0010850695 0.0011650219 0.000912315 0.0011393229 0.0021886993 0.00042546145 0.00037691885 0.00094943575 0.0008395011 0.0004939921 0.00065675256 0.0013063665 0.002581323 0.00050969707 0.00067531294 0.0007281387 0.0006096377 0.0006653189 0.0006938733 0.00064533076 0.0005682337 0.00053111295 0.0003055327 0.000778109 0.0004925644 0.0005111248 0.00087376643 0.0005268298 0.041229784 0.044482138 0.047934372 0.052240383 0.04479195 0.044603493 0.045430146 0.04328999 0.03992913 0.04461634 0.038879752 0.05213473 0.040751494 0.044168036 0.055575542 0.039240964 1298.0 9.739599 12642.0 0.008305647 0.0054579973 0.004825186 0.007198228 0.004825186 0.0052997945 0.0041923746 0.0045878817 0.010520487 0.0045087803 0.0056162 0.0051415917 0.006011707 0.004983389 0.0065654167 0.0039550704 0.008859358 0.0076728365 0.007593735 0.017165005 0.05291884 0.011707009 0.0067236195 0.0045878817 0.0056162 0.0055370987 0.005378896 0.006011707 0.011390603 0.0043505775 0.006011707 0.014633761 0.008701155 0.007040025 0.037494067 0.014396456 0.00846385 0.018747034 0.010915995 0.008622053 0.010599589 0.011627907 0.0063281124 0.015424775 0.010915995 0.0063281124 0.013763645 0.009413067 0.0047460846 0.007356431 0.013921848 0.012418921 0.007910141 0.0063281124 0.011627907 0.012339819 0.004825186 0.006249011 0.010836893 0.017165005 0.0054579973 0.005774403 0.010915995 0.012023414 0.0056162 0.013842747 0.012418921 0.007910141 0.011153298 0.0168486 0.01289353 0.0075146337 0.005378896 0.014475558 0.012260718 0.006644518 0.019933555 0.01408005 0.009413067 0.010362284 0.012418921 0.0065654167 0.010995096 0.015345673 0.017639615 0.0076728365 0.006407214 0.016690398 0.009017561 0.007593735 0.014712862 0.047856353 0.0045878817 0.014238253 0.006802721 0.003875969 6.3179855 0.0 0.0 0.0 5.0 352094.0 692224.0 0.0 14.0 8.0 1.0 1.0 0.0 1.0 0.0 1167275000.0 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 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 1.0 0.0 4.0 0.0 294912.0 1536.0 4096.0 11.0 2.0 0.0 2.0 11.0 0.0 0.0 -512.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 83456.0 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 -6144.0 0.0 0.0 0.0 0.0 0.0 512.0 0.0 0.0 -247296.0 -3584.0 8192.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.1156845 0.0 0.0 0.0 0.21082626 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7.804351 0.0 0.0 0.0 0.0 0.0 4.86908 0.0 0.0 -15.686581 -7.5699143 6.2457423 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4096.0 0.0 0.0 -20480.0 0.0 0.0 0.0 0.0 86016.0 0.0 0.0 0.0 4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -40960.0 0.0 0.0 0.0 0.0 0.0 4096.0 0.0 0.0 -413696.0 -12288.0 102400.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 1.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 489.0 356352.0 444.0 487356.0 98816.0 360448.0 0.0 0.0 0.0 0.0 8.0 486996.0 0.0 0.0 0.0 0.0 0.0 0.0 24.0 483340.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0


Input: 0.1231818 0.008581766 0.009819025 0.0074235583 0.006932699 0.007166179 0.004051888 0.0037540628 0.011309988 0.0021380878 0.0020719045 0.0017097348 0.006338888 0.0031381906 0.0019174768 0.00742172 0.0072029475 0.0015681761 0.0014891239 0.0017097348 0.004517009 0.0026013707 0.0014541938 0.0011379848 0.0040040887 0.0015185387 0.0011177622 0.0013935259 0.0033312254 0.0013365346 0.0014008795 0.0014339711 0.00429456 0.0010699631 0.0014597091 0.001389849 0.016759079 0.0025039343 0.0013677878 0.0011104085 0.0025774713 0.0039434205 0.00507589 0.0056310943 0.0024929037 0.0013402115 0.0013346962 0.0012832204 0.0041364552 0.0025351874 0.0022226553 0.006851808 0.0033275485 0.0048129954 0.0027006457 0.0026160781 0.003928713 0.0034286617 0.002441428 0.0050317678 0.0029892784 0.0024359126 0.002364214 0.0026988073 0.004278014 0.0021288956 0.0017170885 0.0018990926 0.009451341 0.0184394 0.003009501 0.014135647 0.0026124013 0.0013549189 0.0015405997 0.0011784302 0.003893783 0.0061348225 0.0014468401 0.0016343595 0.0071165413 0.0028385276 0.0015093465 0.0030113393 0.0025664407 0.0045096553 0.0033367407 0.003303649 0.0021068344 0.0040279883 0.0015626609 0.0016968659 0.003925036 0.0058039064 0.0028808112 0.0022116248 0.002814628 0.0022741312 0.001571853 0.0018549704 0.0033220332 0.003814731 0.0027557984 0.0013016046 0.0033459326 0.0015553072 0.005390261 0.002961702 0.0023973056 0.0012519672 0.0016472284 0.0019671142 0.00259034 0.0010920241 0.0027355757 0.0022005942 0.008686556 0.00870494 0.0018108481 0.0015994294 0.0022870002 0.0014652243 0.001229906 0.0015424382 0.002130734 0.0025535717 0.0017630492 0.0018843851 0.003654788 0.001606783 0.0012078449 0.009541423 0.0036603033 0.011846808 0.0012335829 0.001156369 0.002264939 0.010657347 0.0015626609 0.027940376 0.00168032 0.010986425 0.0011104085 0.0010865089 0.0016766432 0.0011416617 0.0011159237 0.0014431633 0.0015093465 0.0018972541 0.0011251158 0.0009909108 0.0018531319 0.0015736914 0.0009596576 0.00090450485 0.0016178136 0.0025866632 0.0010644478 0.0013438883 0.0024064977 0.0017777565 0.0010497404 0.0015387613 0.0016564205 0.0017299575 0.0010184871 0.0009651729 0.0019137999 0.0010387099 0.0010276793 0.0011490154 0.0017961408 0.0008750901 0.0009909108 0.0021252187 0.0020663892 0.0009964261 0.0010552556 0.0011379848 0.0025278337 0.0024064977 0.0020921272 0.0015534688 0.0032760724 0.0010865089 0.001169238 0.0011655611 0.0018788698 0.0018494551 0.0015479535 0.0011710764 0.0075963703 0.0055189505 0.0037834777 0.0035499977 0.003910329 0.0011655611 0.003597797 0.004915947 0.0058921506 0.0030848763 0.0014597091 0.0012740282 0.0024506198 0.001325504 0.0014174253 0.001156369 0.0029175798 0.0015920757 0.0018218787 0.0013585958 0.002399144 0.001022164 0.0016398747 0.0011673996 0.003463592 0.0015755298 0.0014597091 0.0015773682 0.012069257 0.015339814 0.0028072742 0.0024579735 0.0051641343 0.0012482903 0.0012795435 0.0010497404 0.003005824 0.0014817702 0.0012225523 0.0010920241 0.0134186605 0.00432949 0.0012795435 0.0037540628 0.005256056 0.0010589325 0.0010975394 0.0013071198 0.004607092 0.0014100716 0.0014872855 0.0014192638 0.003182313 0.0017906255 0.0036823645 0.002277808 0.00588112 0.001718927 0.0014431633 0.003823923 0.0079530245 0.0041493243 0.007945671 0.06527694 0.00754717 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0064480766 8.4758256e-05 6.725383e-05 0.00024690447 6.264741e-05 0.00021834463 6.725383e-05 5.1591982e-05 5.619841e-05 3.224499e-05 3.593013e-05 3.3166274e-05 4.3300413e-05 3.224499e-05 3.5008845e-05 3.224499e-05 0.0014814269 6.264741e-05 5.5277123e-05 4.606427e-06 6.0804836e-05 3.8693986e-05 9.949882e-05 5.619841e-05 5.5277123e-06 1.8425708e-06 2.7638562e-06 3.6851416e-06 9.212854e-07 9.212854e-07 9.212854e-07 1.1055425e-05 0.0124603845 0.00028836232 0.0002395342 0.00012068838 0.0010954083 0.0003335053 0.00026348763 0.00025703863 0.00016951651 0.00023032134 0.0001262161 0.000105947816 0.00010134139 0.00011055425 8.4758256e-05 0.0009940669 0.013522627 0.00040168042 0.00074716244 0.00069096405 0.0017117482 0.00018978478 0.00090285967 0.0005352668 9.949882e-05 0.00028467717 8.936468e-05 8.4758256e-05 7.186026e-05 9.857753e-05 6.725383e-05 0.0012566332 0.004308852 7.6466684e-05 8.752211e-05 0.0001446418 0.00040997198 0.00017965065 0.0006172612 0.00042563386 8.2915685e-05 6.541126e-05 7.923054e-05 8.4758256e-05 0.000106869105 0.00013358638 7.55454e-05 0.0006688532 0.010582805 0.00034456074 0.00076558813 0.00043116155 0.0015597361 0.00070846843 0.0032770121 0.0020719708 0.00034916715 0.00021650207 0.00035469487 0.0003602226 0.0003021816 0.00033258402 0.00028007076 0.0007047833 0.0074043707 0.00036390772 0.00039891657 0.0009360259 0.0010650059 0.00032429246 0.0011110702 0.00094339624 0.000371278 0.00027914948 0.00036759287 0.00043853183 0.00058870134 0.00043208283 0.00055829895 0.0013985112 0.012030144 0.0014206221 0.0016518647 0.018989535 0.002201872 0.0017485997 0.0017384655 0.0018637603 0.001743072 0.0017900575 0.0018619178 0.0018527049 0.0021161926 0.002328088 0.0022691258 0.004771337 0.011842202 0.0011884582 0.0017449145 0.0014740566 0.0028956 0.0020010318 0.0023934995 0.0023612545 0.008898695 0.0012630823 0.0009268131 0.0017854511 0.0028126843 0.0028762529 0.002725162 0.018848578 0.038477484 0.0070026903 0.009491082 0.006677476 0.016179614 0.011430387 0.0057912 0.009219303 0.026812168 0.003247531 0.0024183742 0.004971256 0.012031987 0.011874448 0.011026865 0.038442474 0.06550708 0.01480782 0.026824145 0.012466834 0.03686247 0.02397553 0.012499079 0.015322818 0.042185657 0.0045050853 0.005923865 0.006331073 0.023327867 0.025664248 0.019045733 0.0402224 0.014916532 0.011160451 0.011540021 0.012368256 0.010796543 0.011290352 0.011368661 0.011143868 0.010546875 0.0108886715 0.010850899 0.010933815 0.010641768 0.010861034 0.010910783 0.010913546 2159.0 10.289949 22216.0 0.01935542 0.0027457688 0.005131437 0.005221462 0.01314368 0.0038260713 0.005176449 0.0053565 0.00760713 0.0047263233 0.003961109 0.005176449 0.0076971552 0.004411235 0.0065268273 0.0065268273 0.022101188 0.019625494 0.015979474 0.023046453 0.021020886 0.01971552 0.01832013 0.01917537 0.0217861 0.020120634 0.015979474 0.019445445 0.017915016 0.015844436 0.015979474 0.015934462 0.0072470293 0.0073370542 0.0041411594 0.00864242 0.010487936 0.005581563 0.006481815 0.007742168 0.007967231 0.005221462 0.0036460208 0.00432121 0.008687433 0.0065268273 0.0045912857 0.006706878 0.013638819 0.00553655 0.0070669786 0.011523226 0.009452647 0.005446525 0.007021966 0.010667987 0.006796903 0.0047263233 0.0041411594 0.0052664746 0.0072470293 0.0050864243 0.0048163487 0.00657184 0.008417357 0.016744688 0.0066168527 0.014854159 0.0153943105 0.0324991 0.008552395 0.008237306 0.0099027725 0.014899172 0.009227584 0.0049513862 0.01782499 0.008687433 0.015439323 0.021065898 0.011028088 0.0053114872 0.021831112 0.017374866 0.030923659 0.0119283395 0.0063017644 0.0078772055 0.007742168 0.006166727 0.004996399 0.0050414116 0.007382067 0.0046813106 0.0037360461 0.005446525 6.337062 0.0 9.0 0.0 7.0 543944.0 557056.0 0.0 0.0 194.0 1.0 1.0 1.0 0.0 0.0 1540940500.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 10.0 0.0 5.0 1.0 5.0 1.0 345600.0 1024.0 4096.0 5.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -27136.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 138240.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -8704.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -345600.0 0.0 16384.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.8680835 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 7.3125715 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3.9711485 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.621152 0.0 5.4292016 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -27048.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 137818.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -18688.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -345151.0 0.0 16064.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -2.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 -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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 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 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 -1.0 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 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -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 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 -1.0 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 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 1.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 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 -1.0 0.0 0.0 -1.0 0.0 0.0 1.0 1.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 -2.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 -1.0 1.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 180.0 485884.0 16064.0 512000.0 0.0 0.0 5984.0 537960.0 20876.0 528384.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 469736.0 0.0 0.0 808.0 352256.0 0.0 0.0 0.0 0.0


Input: 0.14201127 0.008604566 0.004173375 0.0034135657 0.006222259 0.003936632 0.0020228538 0.0019546817 0.00785963 0.0015059849 0.0016968669 0.0015010269 0.0045600976 0.0013684011 0.0012270987 0.003878376 0.00614541 0.0015010269 0.0011837166 0.00089367497 0.0024641135 0.0019769925 0.0007660071 0.0008242633 0.0023017398 0.0007536122 0.00082922133 0.0007102299 0.0016138209 0.00060363347 0.0005937175 0.00056520913 0.003880855 0.00058628054 0.0006519737 0.00054289825 0.004154783 0.0013175819 0.00046481015 0.00056149065 0.0011837166 0.0006532132 0.00058380153 0.00094325474 0.0011056284 0.0023426432 0.0006767636 0.00051810837 0.005339739 0.002874386 0.0029326421 0.01035473 0.0030194067 0.0021195342 0.0024418028 0.001792308 0.003544952 0.002208778 0.00071518787 0.001483674 0.0016683586 0.000976721 0.00046604965 0.0005292638 0.011786346 0.0039329138 0.004907156 0.00883759 0.0038734179 0.032598685 0.0032722636 0.0027120123 0.0033875364 0.003552389 0.0021914248 0.0023575171 0.0027132519 0.004392766 0.0011614056 0.0015332537 0.009070615 0.002146803 0.0020587991 0.009768451 0.0032090493 0.0138550615 0.0032264022 0.002098463 0.0019286523 0.006522216 0.0027454786 0.0032635871 0.0015679596 0.0046431436 0.0023810675 0.0036094058 0.0057723224 0.0044448245 0.0024641135 0.003273503 0.00930364 0.0061392123 0.0047113155 0.001589031 0.007837319 0.004247745 0.004448543 0.0013820356 0.0034879353 0.001779913 0.0052170292 0.0040605813 0.0031136083 0.0017278543 0.0057153055 0.003890771 0.010232021 0.005580201 0.0025149328 0.0011105863 0.0028409197 0.0012655231 0.0005317428 0.0005912385 0.0016559636 0.0025223698 0.0010647251 0.0008763221 0.0052529746 0.0011601661 0.0010907545 0.0090792915 0.0031272427 0.0032325997 0.0010362167 0.00061974686 0.0026673905 0.0152160255 0.0022372862 0.051820755 0.0011985905 0.011020339 0.0008589692 0.00068172155 0.002661193 0.00044497824 0.0007288223 0.00064701575 0.0011254604 0.0009382968 0.0015146614 0.0005689276 0.0011762795 0.000589999 0.00050075544 0.0007139484 0.00095812866 0.0004772051 0.00046604965 0.0004201884 0.000898633 0.0033354776 0.00046728915 0.002555836 0.0014266573 0.00081930537 0.00056520913 0.0004536547 0.0010486117 0.0004586127 0.0005106714 0.0004883605 0.0008490532 0.00045117573 0.00074369623 0.00065941067 0.0013274978 0.00068667956 0.0017340517 0.0005379403 0.0008800406 0.0006718056 0.0007139484 0.0015828335 0.0031569905 0.0025397227 0.0046604965 0.00082550285 0.0010027505 0.00048092357 0.0008552507 0.0007164274 0.01202185 0.0011514897 0.002291824 0.010370844 0.0043667364 0.0010610067 0.003564784 0.0033751414 0.0018741145 0.0017687576 0.0009853975 0.0013051869 0.0016857114 0.0008949145 0.0009940739 0.0009444942 0.0028805835 0.0011527291 0.0029809824 0.0013560061 0.0018170978 0.0007697256 0.0016076234 0.0008775616 0.0033751414 0.0006556922 0.0010882755 0.0017910685 0.0014997874 0.0007201459 0.00056396966 0.00084409525 0.0024442817 0.00065941067 0.0008800406 0.0009928345 0.0024380842 0.0024368446 0.0005515747 0.000695356 0.027667979 0.0060388134 0.0010957124 0.005912385 0.006547006 0.0010448932 0.00068172155 0.0007560912 0.0072584753 0.0009792 0.0018208163 0.00092094386 0.00915738 0.0021753116 0.0041052033 0.0025992184 0.010089479 0.0030603101 0.003080142 0.0036205612 0.014921025 0.0040048044 0.004310959 0.069083184 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0018897603 0.0 0.0 0.002156886 0.0010424121 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.009547575 0.0 0.0 0.0049250554 0.0033390734 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0016145585 0.0 0.0 0.0013642056 0.0008380298 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00055226724 3.7273378e-06 1.8015466e-05 6.709208e-05 0.00014909351 7.5789205e-05 6.2122294e-06 7.4546756e-06 1.5530573e-05 0.0 0.0 1.8636689e-06 8.075898e-06 3.1061147e-06 4.9697837e-06 0.00035906688 0.006107243 0.00020624603 0.0002137007 0.000551646 0.0019139879 0.0004889025 0.0024513458 0.0010666398 0.00019506401 0.00010063812 9.256222e-05 7.5167976e-05 0.00067278446 0.00038080968 0.00040131004 0.0028936565 0.013345733 0.00064234453 0.000947365 0.0020848243 0.0041361023 0.0036148964 0.0069781975 0.003214829 0.00045473521 0.00023606472 0.0003112327 0.00033111183 0.0020860666 0.0011063981 0.0011237924 0.009004626 0.02080662 0.0013051894 0.0012356124 0.002081718 0.0073291888 0.0025656507 0.006702996 0.0032620418 0.002396057 0.0009765625 0.0009784262 0.0013381143 0.004065283 0.0026544856 0.0026787135 0.009597895 0.020260565 0.0015648607 0.0012536279 0.0022718124 0.009445074 0.004051616 0.0058966484 0.0034142414 0.005822723 0.0014163883 0.0017822887 0.002309707 0.003870219 0.0017760765 0.004052859 0.009691699 0.07419204 0.009840793 0.0072981273 0.010105434 0.042163644 0.030677233 0.021355782 0.013986214 0.05159878 0.0053040017 0.0060699694 0.009164902 0.01682831 0.007090639 0.027507752 0.06121842 0.060404614 0.010154511 0.009140675 0.011700113 0.028188612 0.03068096 0.017714173 0.014645953 0.04994198 0.0058997544 0.0064986134 0.009172978 0.021150779 0.0109645855 0.02514462 0.04864797 0.00023420106 4.7834168e-05 8.6349995e-05 5.2182728e-05 9.069855e-05 9.939567e-05 4.348561e-05 6.5849636e-05 0.00013480538 2.919748e-05 3.354604e-05 2.919748e-05 8.4486324e-05 6.0258626e-05 7.330431e-05 0.00010747157 5347.0 16.216383 86709.0 0.0053973636 0.00012686111 0.00055357575 9.226263e-05 0.0033214546 0.0005651086 0.00012686111 0.00017299243 0.00039211617 0.000403649 0.00072656816 0.0005766414 0.00049591163 0.014127715 0.0011186843 0.00046131312 0.021497192 0.01818727 0.022569744 0.014150781 0.017875884 0.015673114 0.018867707 0.012501586 0.021312667 0.015996033 0.0008188308 0.00050744443 0.0009456919 0.0005305101 0.00011532828 0.00013839394 0.0013493409 0.008453563 0.0073348787 0.014381437 0.0070696236 0.0159845 0.004682328 0.0030446667 0.0048783864 0.017437637 0.0024334267 0.00395576 0.0067582373 0.0066083106 0.0043940074 0.009134 0.012789907 0.0025948863 0.005927874 0.020286245 0.012951366 0.0062046614 0.005847144 0.0034598485 0.002756346 0.005305101 0.0015108004 0.002963937 0.0011532828 0.0027678788 0.002883207 0.021993103 0.00025372222 0.030481264 0.019282889 0.026467841 0.025798937 0.052047655 0.018210337 0.010241152 0.018037343 0.034148704 0.014116182 0.006539114 0.023273248 0.011890346 0.044424456 0.033675857 0.017760556 0.0027794116 0.045485474 0.028278494 0.040757015 0.0108869895 0.017068585 0.0056049544 0.013493409 0.006619843 0.0010379546 0.0002883207 0.00054204295 0.00025372222 0.00029985353 0.00031138636 5.7746787 0.0 2.0 14.0 4.0 806781.0 3952640.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 708992500.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 2.0 -1.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 25.0 4.0 0.0 4.0 0.0 1267200.0 1024.0 4096.0 8.0 2.0 0.0 1.0 4.0 0.0 0.0 0.0 0.0 0.0 -84992.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 512.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -859648.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1267200.0 0.0 0.0 0.0 0.0 0.0 0.0 -12800.0 1672192.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.5837893 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -48.0 0.0 0.0 -84528.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 24.0 0.0 31073.0 0.0 0.0 0.0 0.0 0.0 -859536.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1266868.0 0.0 0.0 0.0 0.0 0.0 0.0 -12546.0 1672153.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 12546.0 2166784.0 1672153.0 2277376.0 0.0 0.0 8384.0 3898368.0 84528.0 2191360.0 0.0 0.0 0.0 0.0 0.0 0.0 24.0 2187264.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0


Input: 0.05660469 0.008291155 0.0061627785 0.0056477482 0.0057573733 0.004967247 0.004198839 0.005424362 0.0050530853 0.0056229276 0.0037448264 0.004460491 0.0049455287 0.00317395 0.004330182 0.0046456116 0.0050375722 0.0037624077 0.004924845 0.0041585052 0.004356037 0.003185326 0.004116103 0.0038451436 0.005082043 0.0033466606 0.0031615396 0.0029319478 0.0041512656 0.0034418069 0.0037820574 0.003795502 0.0061689834 0.0038192887 0.0034893798 0.0030208887 0.0048824428 0.0041698813 0.00383687 0.003726211 0.0047335187 0.0038968534 0.0033301136 0.0031005219 0.0043601734 0.0037148348 0.0037200057 0.0035886627 0.0055174395 0.0039568366 0.0031056928 0.0028988535 0.0036827747 0.0030684618 0.00269098 0.002859554 0.0041781547 0.0033094296 0.0035297135 0.0033601052 0.003995102 0.003227728 0.0035048928 0.0034562855 0.0065888674 0.003953734 0.0036196886 0.0032339331 0.0041502314 0.0032163518 0.003543158 0.0030777694 0.0049962043 0.0037779207 0.0037065612 0.0035824575 0.0041243765 0.0031243083 0.0035503975 0.0034604224 0.0051544365 0.003632099 0.0036610565 0.003333216 0.003921674 0.003379755 0.0033611394 0.003531782 0.004637338 0.0036414068 0.0038037756 0.0035100637 0.0041036927 0.003400439 0.0036972533 0.0037851601 0.005913537 0.003631065 0.0033414897 0.002949529 0.0040075122 0.0030632908 0.0032649592 0.003033299 0.0049693156 0.0031667105 0.0032091124 0.0030560514 0.0035876285 0.0028368016 0.0031005219 0.0031935996 0.0045018583 0.0032773695 0.0032246255 0.0031429238 0.0038978877 0.0033456264 0.0032939166 0.0036227913 0.0046166545 0.0032939166 0.0034717985 0.003159471 0.0040354356 0.003185326 0.0034728327 0.0033404555 0.008633475 0.0045928676 0.0040126834 0.0035297135 0.0043715495 0.0034366357 0.0030157177 0.003391131 0.004534953 0.0038234254 0.0029650421 0.003190497 0.0037344845 0.0028026733 0.0028523146 0.0029815892 0.005236138 0.0031987706 0.0034976534 0.0030343332 0.0036558856 0.0031791208 0.003312532 0.0032680617 0.0045556366 0.0028409385 0.0030477778 0.0027054588 0.0035142004 0.0032339331 0.0029898628 0.0031511975 0.0050013755 0.0034087126 0.0032721986 0.0027943996 0.0037768865 0.0030270938 0.0030622566 0.0031925654 0.004135753 0.0029919313 0.0031253425 0.0030136493 0.0036403725 0.0028409385 0.0029112638 0.0030426069 0.004662159 0.0031243083 0.0038410067 0.0028564513 0.0035628078 0.0031543002 0.0029898628 0.0031284452 0.0042484803 0.0031501632 0.0033414897 0.0031822233 0.0036558856 0.0031915312 0.0033352845 0.0033611394 0.0067129713 0.0040664617 0.0037334503 0.0033342503 0.004110932 0.0032535829 0.0032990875 0.003226694 0.004336387 0.003337353 0.003116035 0.003069496 0.0036393383 0.0029888286 0.0030777694 0.002797502 0.0042526172 0.0032701301 0.0030943167 0.003001239 0.0037086296 0.0030239914 0.0029371188 0.002943324 0.003978555 0.0031181031 0.0027354504 0.0026413384 0.0035338502 0.002953666 0.0035772866 0.0028843747 0.0049527683 0.0032422068 0.0033921653 0.0029722815 0.003821357 0.0030736327 0.003196702 0.0029091954 0.0044398066 0.005457456 0.003479038 0.003138787 0.003790331 0.0030819064 0.0032442752 0.0031915312 0.004613552 0.0033249427 0.0034252596 0.0030467436 0.003742758 0.0030870773 0.0033135663 0.0032401385 0.004352934 0.0030312308 0.0031894627 0.0028605883 0.004015786 0.003095351 0.0042226254 0.004509098 0.011655579 0.0 0.0 0.0 0.0 0.0 1.0355913e-06 3.1067736e-06 0.0 1.0355913e-06 2.0711825e-06 0.0 0.0 1.0355913e-06 0.0 1.0355913e-06 0.002049435 4.142365e-06 2.0711825e-06 6.2135473e-06 5.177956e-06 1.0355913e-06 3.1067735e-05 1.1391503e-05 0.0 0.0 1.0355912e-05 0.0 0.0 0.0 0.0 0.0 0.00094911933 2.588978e-06 6.2135473e-06 1.294489e-05 9.320321e-06 5.6957515e-06 5.177956e-05 2.2783006e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0028587496 3.5727895e-05 2.7960963e-05 1.0873708e-05 2.226521e-05 3.4692304e-05 4.245924e-05 1.8122846e-05 3.5727895e-05 5.177956e-06 9.838116e-06 1.6051663e-05 2.6407575e-05 7.2491384e-06 1.7087255e-05 1.294489e-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 0.0008786991 1.1909298e-05 1.2427095e-05 8.28473e-06 1.3462685e-05 1.6051663e-05 1.3462685e-05 1.1391503e-05 1.0873708e-05 1.3462685e-05 6.7313426e-06 1.3462685e-05 1.1909298e-05 1.0355912e-05 1.8122846e-05 9.838116e-06 0.0016227714 6.5242246e-05 5.6957517e-05 4.8672788e-05 4.7637193e-05 3.054994e-05 2.2783006e-05 0.0005540413 3.0032144e-05 1.7087255e-05 1.9676232e-05 0.00027702065 2.0711825e-05 0.00027391387 1.656946e-05 7.766934e-05 0.0007420011 3.7281283e-05 3.417451e-05 2.0711825e-05 2.226521e-05 1.7087255e-05 1.39804815e-05 1.1909298e-05 1.656946e-05 2.2783006e-05 1.9158437e-05 1.760505e-05 6.7313426e-06 4.6601604e-06 2.2783006e-05 5.074397e-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 0.0013167543 3.7281283e-05 4.2977033e-05 6.006429e-05 4.245924e-05 3.1585532e-05 9.164982e-05 5.85109e-05 3.9352464e-05 5.747531e-05 4.4012624e-05 4.2977033e-05 7.8187135e-05 7.766934e-06 8.802525e-06 0.00016103443 0.001167629 6.938461e-05 4.608381e-05 4.608381e-05 3.8316874e-05 3.779908e-05 4.7637193e-05 6.006429e-05 5.2297357e-05 5.074397e-05 6.834902e-05 5.177956e-05 7.508036e-05 1.4498277e-05 4.4012624e-05 0.00025113087 0.0045767953 0.00029255453 0.0002708071 0.0002702893 0.00029928586 0.00024025716 0.0003313892 0.0003070528 0.00033087138 0.00035054763 0.0003277646 0.00035106542 0.0005203846 0.0001532675 0.00018381744 0.0007378587 0.0031932455 0.0002733961 0.00030032144 0.00024854188 0.00028841215 0.0002821986 0.0003427807 0.0009325499 0.00040698735 0.00035106542 0.00032414004 0.0006684741 0.00046239147 0.0004349483 0.00017449712 0.00086005847 0.0022487864 0.00018174626 0.00028996554 0.00024491732 0.00029825026 0.0002946257 0.00028530537 0.0004023272 0.00044271525 0.00032258665 0.00024595292 0.00031689092 0.0004603203 0.00016155223 0.00018951319 0.0010376624 0.00034433408 5.436854e-05 4.2977033e-05 4.504822e-05 5.436854e-05 4.815499e-05 5.3332948e-05 5.177956e-05 7.04202e-05 4.815499e-05 3.8316874e-05 4.919058e-05 4.453042e-05 2.6407575e-05 4.1941443e-05 4.71194e-05 0.09913352 0.062031396 0.062443044 0.055338886 0.060597617 0.059537172 0.054998696 0.054455526 0.060464546 0.053203497 0.052135803 0.052998967 0.0564159 0.050578274 0.05668205 0.05384194 4023.0 5.704698 22950.0 0.01721133 0.010457517 0.009411764 0.008671024 0.013420479 0.012505447 0.011851852 0.011546841 0.012549019 0.009760348 0.008453159 0.008627451 0.013856209 0.010544662 0.011764706 0.009891068 0.016775599 0.011851852 0.008671024 0.0074945535 0.009803922 0.008496732 0.007843138 0.00832244 0.010283224 0.008409586 0.009586057 0.008888889 0.011546841 0.008976035 0.009716775 0.0091939 0.018039215 0.010936819 0.010326797 0.009063181 0.0108061 0.008888889 0.010675381 0.008278867 0.014204793 0.011590414 0.009760348 0.008976035 0.011416122 0.0093681915 0.011633987 0.009586057 0.014771242 0.00962963 0.0099346405 0.0091939 0.012069717 0.0093681915 0.009673202 0.009803922 0.013681917 0.009281046 0.0105010895 0.009586057 0.011111111 0.009803922 0.010413944 0.010675381 0.01795207 0.010980392 0.009716775 0.0081917215 0.013071896 0.008278867 0.0093681915 0.008366013 0.015424836 0.009281046 0.008888889 0.008714597 0.011328976 0.007973856 0.0099346405 0.007843138 0.013202614 0.007930283 0.008714597 0.008888889 0.011459695 0.009455338 0.008278867 0.007930283 0.010936819 0.008932462 0.011895425 0.008583878 0.011285403 0.009063181 0.009978213 0.008714597 6.5547113 0.0 0.0 0.0 14.0 966934.0 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: 0.15982588 0.009144365 0.005009558 0.004593999 0.007392786 0.0054936837 0.0023769946 0.0028507314 0.009497589 0.0034886138 0.0044547874 0.0024227062 0.0056038066 0.0031437 0.0024704954 0.0058032745 0.005198637 0.0020507812 0.0019136469 0.0018014462 0.0042137634 0.0037130152 0.0020320811 0.0017598904 0.0029940992 0.0014960107 0.001583278 0.0017287234 0.0025515293 0.0015895113 0.0017079455 0.0017972905 0.015005818 0.002225316 0.0033390126 0.0018139129 0.0090529425 0.0020403923 0.0018284575 0.001921958 0.0025889296 0.0020383145 0.0020258478 0.0025265957 0.0025494515 0.0023749168 0.0027613863 0.0017453458 0.0029276097 0.0021401264 0.0017619681 0.0035114693 0.0019988364 0.0017370345 0.0017100233 0.001523022 0.0021422042 0.0019759808 0.0028195644 0.0028715094 0.002584774 0.002584774 0.0017889794 0.0026284077 0.002734375 0.0027904755 0.0029712433 0.008585439 0.0060650767 0.012059508 0.0019801364 0.0018492354 0.0024788065 0.002173371 0.0015458777 0.001342254 0.0029629322 0.008539727 0.0022066156 0.001903258 0.0056682182 0.0044901096 0.004182596 0.0022419381 0.0027613863 0.008117936 0.0022107712 0.0020445478 0.0018970246 0.0016186005 0.0017536569 0.0018970246 0.0031437 0.002665808 0.001892869 0.0031000664 0.0019572806 0.0053212265 0.0025016621 0.0047436003 0.0047436003 0.008548039 0.004658411 0.0029296875 0.0072182515 0.005379405 0.006162733 0.0021567487 0.0052235704 0.002915143 0.0050968253 0.006360123 0.0037732713 0.0013630319 0.0061959773 0.0062229885 0.010891789 0.00687126 0.0025868518 0.003843916 0.0029109875 0.0025764627 0.0019094914 0.0025681516 0.0026824302 0.0047664563 0.001712101 0.0037753491 0.0035696477 0.002765542 0.0015562666 0.014276513 0.003978973 0.0038376828 0.0017765126 0.0014502992 0.0026117852 0.009944315 0.001803524 0.023871759 0.002563996 0.0055165393 0.0013609541 0.0015417221 0.0020840259 0.0015458777 0.0015770446 0.0014606882 0.0023292054 0.0024476396 0.0018346908 0.0013838098 0.0019863697 0.0019676695 0.0015604222 0.0018845579 0.0019406582 0.0018222241 0.001342254 0.0012965426 0.001953125 0.0022814162 0.0013838098 0.0018076795 0.0017245678 0.0014814661 0.0014295212 0.0012653756 0.0017702793 0.0013879654 0.0012632979 0.0015250997 0.0016435339 0.0013567986 0.0012612201 0.0017349567 0.00186378 0.0014897772 0.0014357547 0.001392121 0.002123504 0.0013588764 0.0018388464 0.0023167387 0.0022502493 0.0014128989 0.0016061337 0.0012799202 0.002113115 0.001672623 0.0019905253 0.0018118351 0.004627244 0.002794631 0.0024268618 0.0033888796 0.005780419 0.0018367686 0.0026554188 0.005171626 0.0023520612 0.0025660738 0.0017308012 0.001342254 0.011080868 0.0020570147 0.0015167886 0.001803524 0.0025349068 0.0017100233 0.0018346908 0.0016373005 0.0025078957 0.0014128989 0.0014482214 0.0015666556 0.0029109875 0.0026429521 0.0017017121 0.0022793384 0.0025806183 0.0029463097 0.0015001663 0.0015167886 0.003885472 0.0021151928 0.0019157247 0.0012736869 0.002975399 0.0019801364 0.0012300531 0.001381732 0.009312666 0.00298371 0.0015583445 0.0042844084 0.0040101395 0.0012425199 0.001441988 0.0011864195 0.003594581 0.0016913231 0.0014939328 0.0013526429 0.0028112533 0.0013526429 0.0019074136 0.001971825 0.0046334774 0.0016934009 0.0019468917 0.0018845579 0.023038564 0.003014877 0.00886594 0.029298954 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0020364139 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 9.578225e-05 0.0058073197 3.1233343e-05 0.000114522256 7.2877797e-06 1.1452225e-05 6.2466684e-06 1.1452225e-05 1.0411114e-05 4.1644456e-05 2.8110007e-05 6.2466684e-06 6.2466684e-06 6.2466684e-06 2.0822228e-05 1.6657783e-05 0.00027068896 0.0017990405 0.0 9.9946694e-05 0.0 0.0 0.0 0.0 0.0 0.0 1.8740006e-05 0.0 0.0 0.0 1.2493337e-05 0.0 0.0002019756 0.0009703158 7.2877797e-06 2.9151119e-05 0.0 8.328891e-06 1.5616672e-05 6.2466684e-06 0.0 1.9781117e-05 2.3945562e-05 6.142557e-05 8.9535584e-05 9.0576694e-05 3.4356675e-05 4.0603343e-05 0.002867221 0.008460071 0.00013950893 0.00013430337 0.00013430337 0.00022071562 8.328891e-05 0.0001551256 0.00016137227 9.578225e-05 9.578225e-05 3.3315566e-05 2.3945562e-05 3.3315566e-05 3.748001e-05 0.00010202892 0.00075064134 0.0016772305 7.2877796e-05 7.079558e-05 3.6438898e-05 9.9946694e-05 6.038446e-05 5.3096683e-05 0.00024466118 0.00021759229 6.559002e-05 1.9781117e-05 1.3534448e-05 2.290445e-05 3.1233343e-05 4.7891124e-05 0.0015304338 0.013476146 0.0003102512 0.000420609 0.00028942898 0.0005955157 0.00033211455 0.0009099314 0.0007131613 0.000355019 0.0002477845 0.00025090785 0.00018219449 0.0003102512 0.00023008561 0.00012909781 0.0025694629 0.023960138 0.00038937567 0.010147713 0.0034606543 0.0016772305 0.0018615072 0.01700239 0.01052876 0.0005507479 0.00022071562 0.00018740006 0.00019677005 0.0003654301 0.00016970116 0.00015824893 0.0037500833 0.0152918445 0.0003820879 0.0045819315 0.0018417261 0.0023851863 0.0019291794 0.01300244 0.007477262 0.0005038979 0.00034252566 9.370003e-05 0.00020509894 0.0008058202 0.00035085453 0.0004372668 0.0036740822 0.014852495 0.00066006463 0.0035189565 0.001803205 0.002728753 0.0016053938 0.006066556 0.004823469 0.00094220584 0.0010629748 0.0005674057 0.00049140456 0.0008058202 0.00045080125 0.0005715702 0.0038250433 0.010960821 0.00094428804 0.0010317414 0.00077146356 0.0011972782 0.000766258 0.0018812884 0.0014096649 0.00085267023 0.0010307003 0.00067984575 0.0008380947 0.0014356927 0.0006673524 0.0009703158 0.0044132713 0.011022246 0.0013794727 0.0018885761 0.0016116404 0.0021249084 0.0017261627 0.0030056885 0.003158732 0.0030921008 0.0013732259 0.00074543577 0.0010400703 0.0019677007 0.001093167 0.0012545392 0.006160256 0.089315906 0.0136510525 0.014420434 0.008530867 0.029434301 0.020155916 0.014127882 0.015985224 0.05046371 0.006906733 0.0048370035 0.0072024087 0.02525528 0.010424648 0.01933448 0.03669189 0.016473506 0.0035085455 0.0030213052 0.002327925 0.0055168495 0.0044746967 0.0035762177 0.003642849 0.009372085 0.001158757 0.0012201825 0.0015939416 0.0061540096 0.0029047008 0.0042487755 0.0075647156 0.017059652 0.016719207 0.016303804 0.015882155 0.01607476 0.01669214 0.015931087 0.016426656 0.016091418 0.015947744 0.016605727 0.016128898 0.0159821 0.016369395 0.015541711 0.016371477 2456.0 17.669788 43397.0 0.1062055 0.002419522 0.013480195 0.0026499527 0.0029725558 0.003709934 0.002050833 0.007535083 0.005806853 0.0052307765 0.0063138003 0.0029264695 0.0076963846 0.009908519 0.011475448 0.005737724 0.009724175 0.0055764224 0.005161647 0.0064290157 0.0063368436 0.004193838 0.004124709 0.0022351774 0.004124709 0.0031799434 0.011682835 0.008756366 0.004378183 0.004792958 0.0041707954 0.0038712353 0.0030416849 0.0072355233 0.003410374 0.009171141 0.0067285756 0.004470355 0.0039403643 0.0042860107 0.0028112542 0.0063138003 0.0016591009 0.0011982395 0.006060327 0.0064290157 0.0059911977 0.004700786 0.005829896 0.002396479 0.0055303364 0.006106413 0.0067285756 0.0032260295 0.0038251493 0.004147752 0.002073876 0.001336498 0.002696039 0.002396479 0.004124709 0.0011291103 0.0020047468 0.0063368436 0.0018664885 0.0359011 0.0099315625 0.025439547 0.022490034 0.060211536 0.011590663 0.011360233 0.0151623385 0.03636196 0.004124709 0.006797705 0.026476484 0.014494089 0.03334332 0.04170795 0.01848054 0.0011751965 0.035048507 0.030071203 0.052169506 0.019978339 0.009171141 0.015784502 0.009816347 0.009908519 0.003387331 0.0064290157 0.0021430054 0.0025347373 0.0016821439 0.0027651682 5.749343 1.0 21.0 0.0 6.0 481280.0 741376.0 1.0 0.0 184.0 0.0 1.0 0.0 0.0 0.0 1541973900.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 9.0 0.0 5.0 0.0 5.0 0.0 200192.0 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 53248.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6144.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -200192.0 0.0 220672.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.0681 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3.6793637 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.4614835 0.0 7.38183 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 52756.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -13800.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -199777.0 0.0 466176.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -2.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 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 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 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 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 1.0 0.0 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 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 0.0 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 0.0 0.0 0.0 -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 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 2.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 1.0 0.0 0.0 0.0 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 -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 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 -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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 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 -1.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 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 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 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 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 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -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 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 -1.0 0.0 -1.0 0.0 0.0 0.0 1.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 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 -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 -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 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 240.0 253132.0 220416.0 274432.0 0.0 0.0 0.0 0.0 0.0 0.0 28.0 205664.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 249216.0 0.0 0.0 780.0 204800.0 0.0 0.0 0.0 0.0