Input: 0.056529857 0.008288457 0.0061649596 0.005658873 0.0057476964 0.0049462207 0.0042067147 0.0054202895 0.0050433064 0.0056216912 0.0037460728 0.004464922 0.0049524177 0.0031666553 0.0043234243 0.00463947 0.00502988 0.003767762 0.004919367 0.004157139 0.0043482124 0.0031883446 0.004105497 0.0038441916 0.0050608646 0.0033535974 0.0031614911 0.0029332358 0.0041488763 0.0034320925 0.0037842873 0.0037873858 0.0061608283 0.0038245677 0.0034868324 0.003023092 0.00489871 0.004158172 0.0038369617 0.0037223175 0.0047169323 0.003895833 0.0033370722 0.0031005542 0.004366803 0.0037212847 0.0037243832 0.0035849512 0.005518408 0.003945409 0.0031067512 0.0029074152 0.0036737747 0.0030706022 0.0026863895 0.0028671348 0.0041695326 0.003319514 0.003519883 0.0033608272 0.0040063458 0.003216231 0.003508522 0.0034548147 0.006585321 0.003943343 0.003622133 0.0032203624 0.004167467 0.0032203624 0.0035426053 0.0030644052 0.0049937307 0.0037760248 0.0037026939 0.0035849512 0.0041230554 0.003119145 0.0035632618 0.0034672087 0.005162082 0.0036448555 0.0036634463 0.003344302 0.003933015 0.0033763198 0.0033587615 0.0035364083 0.0046477327 0.003641757 0.003811141 0.003508522 0.0041147927 0.0033887136 0.0036923655 0.0037956485 0.0059077847 0.0036252316 0.0033339737 0.002955958 0.0039898204 0.0030602738 0.0032751025 0.003035486 0.004974107 0.0031738852 0.0032090014 0.0030582082 0.0035766887 0.002841314 0.0030881602 0.0031955745 0.004505202 0.0032854306 0.0032255265 0.0031542613 0.003895833 0.003344302 0.0032874963 0.0036334943 0.0046208794 0.003295759 0.00347857 0.0031728523 0.004033199 0.0031997059 0.0034744386 0.0033484334 0.008638586 0.0045940257 0.0040094443 0.0035271128 0.004356475 0.0034320925 0.0030272233 0.0033835494 0.004545483 0.0038338632 0.0029600894 0.0031935088 0.003738843 0.0028144605 0.002852675 0.0029941727 0.005228183 0.0031997059 0.003495095 0.0030251576 0.0036644791 0.0031893775 0.0033164155 0.003265807 0.00455168 0.0028392484 0.0030458143 0.0027122104 0.003514719 0.003241019 0.0029952056 0.0031470316 0.005016453 0.0034176328 0.0032699383 0.0028000008 0.003774992 0.0030065668 0.0030551096 0.0031831805 0.004131318 0.0030014026 0.0031222436 0.003011731 0.0036438226 0.002841314 0.0029280717 0.0030385845 0.0046632253 0.003120178 0.0038421259 0.002859905 0.0035601633 0.0031511628 0.0029910742 0.0031346376 0.0042666188 0.0031521956 0.0033339737 0.0031883446 0.003652085 0.0032038372 0.0033339737 0.0033422364 0.0067133917 0.0040569543 0.0037223175 0.0033422364 0.004119957 0.0032627084 0.0033071202 0.003216231 0.004326523 0.0033350065 0.0031119154 0.003078865 0.0036510522 0.002980746 0.0030737007 0.0028020665 0.004251126 0.0032802667 0.0030984886 0.003005534 0.003715088 0.003023092 0.0029342687 0.0029518267 0.003974328 0.0031160465 0.002731834 0.002641978 0.0035312441 0.0029507938 0.0035797872 0.0028919226 0.0049524177 0.0032399863 0.0033969763 0.002974549 0.0038070097 0.0030757664 0.0032038372 0.0029218746 0.0044421996 0.00544611 0.003472373 0.0031418675 0.0037884186 0.0030881602 0.0032399863 0.003186279 0.0046084854 0.00331435 0.0034320925 0.0030520111 0.003732646 0.00309539 0.0033153829 0.0032451504 0.0043482124 0.0030396173 0.0031914432 0.0028692004 0.0040094443 0.0030933244 0.004217043 0.0045031365 0.011643232 0.0 0.0 0.0 0.0 0.0 1.0344942e-06 3.1034824e-06 0.0 1.0344942e-06 2.0689884e-06 0.0 0.0 1.0344942e-06 0.0 1.0344942e-06 0.002047264 4.1379767e-06 2.0689884e-06 6.206965e-06 5.172471e-06 1.0344942e-06 3.1034826e-05 1.1379436e-05 0.0 0.0 1.0344942e-05 0.0 0.0 0.0 0.0 0.0 0.0009481139 2.5862355e-06 6.206965e-06 1.29311775e-05 9.310447e-06 5.689718e-06 5.172471e-05 2.2758872e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0028557212 3.569005e-05 2.7931343e-05 1.0862189e-05 2.2241626e-05 3.4655553e-05 4.241426e-05 1.8103648e-05 3.569005e-05 5.172471e-06 9.827695e-06 1.6034659e-05 2.6379601e-05 7.241459e-06 1.7069155e-05 1.29311775e-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 0.0008777683 1.1896683e-05 1.241393e-05 8.275953e-06 1.3448424e-05 1.6034659e-05 1.3448424e-05 1.1379436e-05 1.0862189e-05 1.3448424e-05 6.724212e-06 1.3448424e-05 1.1896683e-05 1.0344942e-05 1.8103648e-05 9.827695e-06 0.0016210524 6.517313e-05 5.689718e-05 4.8621227e-05 4.758673e-05 3.0517578e-05 2.2758872e-05 0.0005534544 3.000033e-05 1.7069155e-05 1.965539e-05 0.0002767272 2.0689884e-05 0.0002736237 1.6551907e-05 7.7587065e-05 0.0007412151 3.724179e-05 3.413831e-05 2.0689884e-05 2.2241626e-05 1.7069155e-05 1.3965671e-05 1.1896683e-05 1.6551907e-05 2.2758872e-05 1.9138142e-05 1.75864e-05 6.724212e-06 4.6552236e-06 2.2758872e-05 5.0690214e-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 0.0013153594 3.724179e-05 4.2931508e-05 6.000066e-05 4.241426e-05 3.1552074e-05 9.1552734e-05 5.844892e-05 3.931078e-05 5.7414425e-05 4.3966003e-05 4.2931508e-05 7.810431e-05 7.7587065e-06 8.7932e-06 0.00016086384 0.0011663922 6.931111e-05 4.603499e-05 4.603499e-05 3.8276285e-05 3.7759037e-05 4.758673e-05 6.000066e-05 5.2241954e-05 5.0690214e-05 6.827662e-05 5.172471e-05 7.5000826e-05 1.4482918e-05 4.3966003e-05 0.00025086483 0.004567809 0.0002932791 0.00027207198 0.000263796 0.0003087965 0.00023845091 0.00032896915 0.0003119 0.00032586567 0.00035172803 0.00032586567 0.00035172803 0.0005203506 0.00015103615 0.00018620896 0.0007360426 0.0031898627 0.00027310647 0.0003000033 0.0002482786 0.00028810662 0.00028189967 0.00034241757 0.000931562 0.0004065562 0.00035069353 0.00032379667 0.00066776597 0.00046190165 0.00043448756 0.00017431227 0.0008591474 0.002246404 0.00018155373 0.00028965838 0.00024465786 0.0002979343 0.0002943136 0.00028500313 0.000401901 0.00044224627 0.00032224494 0.00024569235 0.0003165552 0.00045983266 0.00016138109 0.00018931243 0.0010365632 0.00034396932 5.4310945e-05 4.2931508e-05 4.5000495e-05 5.4310945e-05 4.810398e-05 5.327645e-05 5.172471e-05 7.03456e-05 4.810398e-05 3.8276285e-05 4.9138474e-05 4.448325e-05 2.6379601e-05 4.1897016e-05 4.7069483e-05 0.09909523 0.061987408 0.062451378 0.0553413 0.060575325 0.05960859 0.054970436 0.0545106 0.06049929 0.053196277 0.052140575 0.053003863 0.056416657 0.050594006 0.05667683 0.05384749 4038.0 5.7020802 23025.0 0.01728556 0.010466884 0.009337677 0.008686211 0.013463627 0.012508144 0.011900108 0.011378936 0.012551574 0.009815418 0.008512487 0.008599348 0.013941368 0.010597177 0.011682954 0.009989142 0.016677525 0.011900108 0.008729641 0.007513572 0.009771987 0.008469055 0.0077741584 0.008295331 0.010206297 0.008425624 0.009598263 0.008903366 0.011465798 0.008946797 0.009598263 0.009207384 0.018023888 0.010944625 0.010423453 0.008990228 0.010857764 0.008816504 0.010640608 0.0082519 0.014201954 0.011596091 0.009728556 0.008903366 0.011422367 0.009294245 0.011639522 0.009598263 0.014809989 0.009728556 0.010119435 0.008990228 0.012117264 0.009424538 0.009554831 0.009771987 0.013680782 0.009163952 0.010510315 0.009511401 0.011161781 0.009771987 0.010423453 0.010640608 0.017893594 0.010944625 0.009685125 0.0082084695 0.0130293155 0.0082084695 0.009424538 0.008382193 0.015418024 0.009337677 0.008859935 0.00864278 0.011292074 0.008034745 0.009858849 0.007947883 0.013116178 0.007991314 0.008686211 0.008946797 0.011596091 0.009554831 0.008382193 0.008034745 0.010901194 0.008990228 0.012030402 0.008512487 0.011335505 0.0090336595 0.009989142 0.008816504 6.55474 0.0 0.0 0.0 14.0 968214.0 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: 0.088326156 0.00441482 0.0036222083 0.0034409626 0.0035789257 0.0033192304 0.00331382 0.0032164343 0.0033868593 0.0033165254 0.003381449 0.0029621494 0.0031974982 0.0031190487 0.0031271642 0.0032516015 0.003651965 0.0033381665 0.0030081372 0.0028404172 0.0034247315 0.0029242772 0.003024368 0.0030974073 0.0035464638 0.0030703559 0.0030081372 0.0030433042 0.003178562 0.00288911 0.0031379848 0.0031542156 0.0032488962 0.0029648545 0.0030947023 0.002870174 0.0032380756 0.0036465547 0.003091997 0.0029432133 0.003121754 0.002918867 0.0030757661 0.0028323017 0.0028377122 0.0029107514 0.0029973164 0.0028999308 0.003359808 0.0030297784 0.0032759479 0.003348987 0.0031866776 0.0030433042 0.0031055228 0.003091997 0.00314069 0.0031704467 0.003143395 0.0034030904 0.0034166162 0.0031298692 0.0032840634 0.00331382 0.0053589204 0.0041361884 0.0029837906 0.003005432 0.0036330288 0.003294884 0.0030460095 0.003240781 0.003091997 0.0030838817 0.0030297784 0.0028782894 0.0031677415 0.0031298692 0.003243486 0.0029161617 0.003465309 0.0028999308 0.00297297 0.0030514197 0.0030135475 0.0031055228 0.0033571026 0.003262422 0.003294884 0.0031271642 0.002886405 0.002870174 0.0033760387 0.003089292 0.0030189578 0.0028918153 0.0030433042 0.0031920879 0.0031379848 0.0030108423 0.0034734246 0.0033922698 0.010552826 0.0030514197 0.0033246407 0.003108228 0.0033165254 0.0029567392 0.0034247315 0.003040599 0.0030324836 0.0032488962 0.0031974982 0.0031055228 0.003227255 0.0031623312 0.0035626949 0.003208319 0.0031379848 0.002737621 0.0030351887 0.0028999308 0.003059535 0.0029134566 0.0031812673 0.002954034 0.003040599 0.002954034 0.0046636946 0.00305683 0.00288911 0.003156921 0.0032353704 0.008423866 0.0030865867 0.0031001125 0.0031839726 0.006349009 0.0028918153 0.003551874 0.003073061 0.0037060683 0.0030297784 0.0029621494 0.00322996 0.0033029995 0.0032380756 0.0028836997 0.0032921787 0.0032326654 0.0028241863 0.002835007 0.0029026358 0.0028728792 0.0029756753 0.0031515106 0.0040225717 0.0031055228 0.0031731518 0.0031325745 0.00305683 0.0030784712 0.0030297784 0.0028809947 0.0030947023 0.0028972256 0.0030460095 0.0029269822 0.0031028178 0.0028404172 0.0029513289 0.0029810856 0.00305683 0.0028566483 0.0029621494 0.003091997 0.0033111149 0.0029783803 0.0032002034 0.0027051594 0.0030162525 0.0034842452 0.0029513289 0.002940508 0.0032245498 0.002937803 0.002921572 0.0030324836 0.00314069 0.0032867684 0.003108228 0.0029621494 0.0031677415 0.0029837906 0.0030460095 0.0030270733 0.0030649456 0.0027592625 0.0032191395 0.0073120454 0.0031839726 0.0029810856 0.0029594442 0.0031163434 0.04647193 0.0028918153 0.00305683 0.002853943 0.0031271642 0.002970265 0.002940508 0.003073061 0.0030622403 0.0029026358 0.0029432133 0.0031028178 0.0032164343 0.003040599 0.003143395 0.002918867 0.0033029995 0.0034626038 0.003037894 0.003037894 0.003549169 0.0032029087 0.0032002034 0.0030784712 0.0036032721 0.003156921 0.0045149107 0.0034003851 0.003841326 0.0035735155 0.0034571935 0.0034193213 0.0039143655 0.0036654908 0.0067953602 0.0037493508 0.0041361884 0.003973879 0.0037250044 0.0036925424 0.0038359158 0.0033868593 0.003854852 0.0037222991 0.0036654908 0.0037141836 0.0038034539 0.0037222991 0.004209228 0.0044743335 0.0046826308 0.028252684 0.022186957 1.3563368e-06 1.3563368e-06 4.0690106e-06 1.6276043e-05 0.0 0.0 2.7126737e-06 6.781684e-06 1.3563368e-06 1.3563368e-06 6.781684e-06 0.022192383 1.3563368e-06 5.4253474e-06 1.6276043e-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 0.0076199 1.3563368e-05 2.8483073e-05 5.4253474e-06 5.4253473e-05 3.7977432e-05 0.00010579427 3.933377e-05 1.763238e-05 5.4253474e-06 1.0850695e-05 5.2897136e-05 0.0029364692 2.4414063e-05 7.866754e-05 8.002387e-05 0.0035291885 3.526476e-05 7.324219e-05 4.0690106e-06 6.510417e-05 1.4919705e-05 6.781684e-05 4.4759116e-05 1.4919705e-05 6.64605e-05 2.983941e-05 2.0345053e-05 0.004243978 4.0690105e-05 1.4919705e-05 6.781684e-05 0.007000054 7.324219e-05 6.64605e-05 0.0003024631 0.0002210829 0.000100368925 0.000265842 0.0001546224 6.781684e-05 4.340278e-05 2.4414063e-05 8.816189e-05 0.002423774 2.983941e-05 8.4092884e-05 0.00016547309 0.004595269 0.00018853082 4.340278e-05 3.7977432e-05 0.00010172526 6.23915e-05 5.560981e-05 5.4253473e-05 0.000382487 3.390842e-05 6.1035156e-05 6.374783e-05 0.0022135417 3.390842e-05 0.00018717448 0.00021837023 0.0027248806 6.781684e-05 5.15408e-05 0.00011393229 0.00024820963 1.763238e-05 2.57704e-05 3.119575e-05 2.57704e-05 0.00020209419 2.3057726e-05 2.3057726e-05 2.170139e-05 5.8322483e-05 0.00012613932 0.0017944336 0.0018513998 1.4919705e-05 1.6276043e-05 1.4919705e-05 9.358724e-05 3.526476e-05 1.2207031e-05 0.000100368925 0.00017632378 1.4919705e-05 1.8988716e-05 5.2897136e-05 0.002525499 1.8988716e-05 0.00035942925 0.000249566 0.00807156 0.0006808811 0.00017632378 0.00028618707 0.00046657986 0.0002509223 0.0006035699 0.0003757053 0.00097113714 0.00020073785 0.00015055339 0.00018988716 0.0001180013 0.00019938151 0.0007595486 0.00316569 0.010757107 0.0007446289 0.00037841796 0.00052625866 0.0022406685 0.00051812065 0.0006849501 0.000531684 0.000390625 0.0013536242 0.00034179687 0.00027126737 0.00022650824 0.0005791558 0.003209093 0.0050238715 0.004744466 0.0006049262 0.00015190973 0.0011298285 0.00044894748 0.00034450955 0.0006130642 0.00033772786 0.001038954 0.0002794054 0.00022922092 0.00028211807 0.0029934354 0.0002807617 0.001184082 0.0020033095 0.010584853 0.001159668 0.0010959201 0.0023261176 0.0011040581 0.0009426541 0.0060994467 0.0011257596 0.007903375 0.0015896268 0.0009399414 0.0015557184 0.0058363173 0.0016628689 0.0038764107 0.02164171 0.0077745225 0.0007744683 0.0011393229 0.0011528863 0.0023220486 0.0015123156 0.00279541 0.0008205838 0.003982205 0.0004245334 0.00038519964 0.0006510417 0.0051323785 0.00074598525 0.0030097114 0.006266276 0.001321072 0.0001478407 0.00010986328 0.00016004774 0.0002943251 0.0002102322 0.00044352215 0.00022243924 0.00056016713 0.00016140408 0.00017361112 0.00018310547 0.00036621094 0.00016004774 0.00020345052 0.00083821616 0.0005832248 0.000265842 0.00013563369 0.00010443793 0.000115288625 0.00012342665 9.2230905e-05 0.00011257595 6.374783e-05 0.00019938151 0.000115288625 0.00019259982 5.4253473e-05 0.000124783 0.00027804903 0.00021701389 0.044898815 0.045594618 0.04522705 0.045311145 0.04548611 0.04554308 0.046432834 0.04543457 0.04484592 0.045617677 0.04538303 0.045606826 0.044984266 0.045345053 0.04682753 0.04523926 1424.0 6.8398876 9740.0 0.011909651 0.008521561 0.009137577 0.006673511 0.0087268995 0.007597536 0.009034907 0.0077002053 0.01026694 0.007802875 0.007597536 0.006570842 0.008932238 0.006365503 0.009856263 0.0077002053 0.010472279 0.011909651 0.01036961 0.011293635 0.01036961 0.009958932 0.009958932 0.01211499 0.01211499 0.010985626 0.010677618 0.009958932 0.013141684 0.0124229975 0.011909651 0.010985626 0.009445585 0.019096509 0.0067761806 0.009342915 0.024845995 0.009958932 0.009240246 0.016221765 0.0123203285 0.015708419 0.009445585 0.0067761806 0.009856263 0.008521561 0.016632443 0.008521561 0.018583162 0.009856263 0.00862423 0.010061602 0.01036961 0.008521561 0.010061602 0.010164271 0.01735113 0.008316222 0.008213553 0.008008214 0.008521561 0.007597536 0.008213553 0.010472279 0.007905544 0.013449692 0.008932238 0.010164271 0.012628336 0.016735112 0.008110883 0.01026694 0.011396304 0.011396304 0.007905544 0.008316222 0.014373717 0.010472279 0.013039014 0.014065708 0.010574949 0.007905544 0.013449692 0.011190965 0.01724846 0.009548254 0.009034907 0.0067761806 0.010472279 0.007905544 0.008521561 0.007802875 0.008110883 0.007392197 0.0088295685 0.007392197 6.5270505 0.0 0.0 0.0 6.0 369664.0 368640.0 0.0 0.0 53.0 1.0 1.0 0.0 0.0 0.0 1453222400.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 49152.0 4096.0 4096.0 6.0 0.0 0.0 1.0 2.0 0.0 0.0 0.0 0.0 0.0 -4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 -4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -49152.0 -8192.0 290816.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.717555 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 3.337194 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -0.6416903 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.591917 -4.384831 7.9479194 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3015.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5560.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2364.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -47392.0 -4912.0 290228.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 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 -1.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 2.0 0.0 1.0 1.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 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 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 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 2.0 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 -1.0 1.0 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 -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 -1.0 0.0 1.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -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 1.0 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 -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 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 -1.0 2.0 -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 -2.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 -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 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 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -2.0 0.0 -1.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 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 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 1.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 -2.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 1.0 1.0 1.0 0.0 0.0 1.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 2.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -2.0 -1.0 0.0 0.0 0.0 0.0 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 -1.0 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 -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 0.0 0.0 0.0 -1.0 -1.0 -1.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 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 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 1.0 0.0 -1.0 0.0 -2.0 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 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 1.0 1.0 1.0 0.0 0.0 0.0 -1.0 0.0 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 -1.0 0.0 -1.0 -1.0 0.0 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 -2.0 0.0 0.0 1.0 -1.0 -1.0 -1.0 -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 -1.0 0.0 -1.0 -1.0 1.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 2.0 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 0.0 2.0 0.0 1.0 0.0 0.0 0.0 -1.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 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 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 2.0 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 -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 2.0 0.0 -1.0 0.0 -1.0 1.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 -1.0 1.0 -1.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 2.0 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 -1.0 0.0 0.0 -1.0 -1.0 1.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 140.0 65536.0 290228.0 73728.0 0.0 0.0 0.0 0.0 2440.0 364544.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1748.0 67424.0 0.0 0.0 0.0 0.0


Input: 0.1430854 0.007404268 0.010540016 0.005311268 0.0053937878 0.00439605 0.0020854978 0.0054050405 0.0042985263 0.00326703 0.002839428 0.0022055265 0.004276021 0.0022280319 0.0017216611 0.004268519 0.02040112 0.0017891772 0.001654145 0.0013878313 0.0020704942 0.0028056698 0.0017329138 0.0014666001 0.00226179 0.0018641951 0.0030494782 0.0012490482 0.0016616468 0.0012828063 0.0012678027 0.0011252686 0.0052962643 0.0011740302 0.0013615751 0.0011590268 0.0027456556 0.0019429639 0.001076507 0.001151525 0.0015153618 0.0014178385 0.0010877597 0.0013203152 0.0014103367 0.0014853546 0.0013503224 0.0012115393 0.0024605875 0.0016091341 0.0013840805 0.0036196143 0.0016091341 0.0015153618 0.0015003582 0.001365326 0.002258039 0.0018116826 0.0025431071 0.0020667433 0.0016991557 0.0018566933 0.002625627 0.0018041808 0.010457497 0.008191956 0.0015603725 0.0023930713 0.002224281 0.0066615907 0.001684152 0.001725412 0.0022467864 0.0017479173 0.0015603725 0.0013953331 0.0018791987 0.0026818903 0.0024643384 0.018608192 0.006414031 0.0020854978 0.0018641951 0.0035971089 0.0019617183 0.0050111962 0.0029369511 0.0022692918 0.0018904513 0.0033870586 0.0039797 0.0030269728 0.0014778528 0.002295548 0.0022692918 0.0017854263 0.0012978099 0.002839428 0.0014440948 0.0019092058 0.0047186264 0.0038971805 0.003694632 0.0016278886 0.003368304 0.0026781394 0.002509349 0.0012828063 0.0026631358 0.0020179818 0.0031094924 0.003086987 0.0029669583 0.001038998 0.003702134 0.0027756626 0.0067216046 0.0041184835 0.0017141593 0.0017666718 0.0020742451 0.0019542165 0.0014928564 0.0015153618 0.0021342596 0.0021755195 0.0016091341 0.0020067291 0.015723754 0.001901704 0.0012040375 0.0057351193 0.002198025 0.0041109817 0.0010990124 0.00125655 0.0017741736 0.006489049 0.001867946 0.017284127 0.0012828063 0.0052362503 0.0013803296 0.0012002866 0.004699872 0.0013878313 0.0014178385 0.0013353188 0.0014891055 0.0025656126 0.001365326 0.0016954048 0.0016353905 0.0017779245 0.0032407737 0.001436593 0.0017816754 0.0015453689 0.0015716252 0.0016954048 0.0020892487 0.002299299 0.0013728278 0.0017554191 0.0016954048 0.0014440948 0.0014103367 0.0014928564 0.001901704 0.0016466432 0.0016016323 0.0023893204 0.00201048 0.0022055265 0.0019542165 0.0022392846 0.0033533005 0.018300619 0.0029256984 0.0018154334 0.0017216611 0.0015641234 0.001867946 0.0024905945 0.0029932146 0.002621876 0.0032482755 0.0030119692 0.0025018472 0.00326703 0.014887304 0.004268519 0.0076555777 0.0027043957 0.0029594565 0.0070216763 0.00376965 0.002370566 0.004763637 0.0030232219 0.0060989563 0.003304539 0.0020892487 0.002081747 0.002119256 0.0021642668 0.002550609 0.0023855695 0.0027606592 0.0022805445 0.0027569083 0.0022730427 0.0027606592 0.0019692201 0.0028056698 0.002156765 0.0036271159 0.0029707092 0.0027869153 0.01838314 0.0034058131 0.0020217327 0.0015303653 0.0019129567 0.0041147326 0.0017554191 0.0024305803 0.0018716969 0.0024680893 0.0023068008 0.001939213 0.0020367363 0.0111514125 0.003552098 0.0020179818 0.0048386552 0.0035220908 0.0021230069 0.0020029782 0.0017141593 0.0060614473 0.0019542165 0.0020179818 0.002194274 0.0022392846 0.0019579674 0.0023780677 0.0022317828 0.0040809745 0.0026968939 0.0021080032 0.0025055981 0.0048236516 0.0020404872 0.0025956198 0.084192604 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.003529199 0.00033180503 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.017715748 0.0042569074 3.581986e-05 5.6557674e-05 7.729549e-05 4.147563e-05 0.00011123009 6.0328184e-05 5.467242e-05 2.0737814e-05 4.7131394e-05 9.426279e-06 7.918074e-05 2.4508325e-05 3.204935e-05 0.00054295367 0.029464662 0.016339513 2.6393582e-05 3.3934604e-05 6.598395e-05 1.6967302e-05 1.3196791e-05 2.0737814e-05 0.00773709 1.5082046e-05 1.5082046e-05 0.00011877112 1.3196791e-05 1.8852557e-05 2.262307e-05 0.0001319679 0.006764298 4.901665e-05 7.352498e-05 7.352498e-05 0.00031672296 0.00032614925 1.8852558e-06 3.7705115e-06 0.0031540329 0.00041098575 0.0 0.0001960666 3.7705115e-06 0.0 1.8852558e-06 0.00020737814 0.0114189945 0.00020737814 0.00019983712 0.0002563948 0.0010859073 9.991856e-05 1.8852557e-05 6.221344e-05 0.00011311535 7.729549e-05 2.4508325e-05 0.0008389388 4.147563e-05 2.8278837e-05 8.295126e-05 0.0008879555 0.019174937 0.0003619691 0.0008785292 0.000243198 0.0010104971 0.0008879555 0.002976819 0.0017212385 0.0012291868 0.0002639358 7.729549e-05 0.0028561626 0.003774282 0.00023565697 0.00086533243 0.0020530436 0.0075127445 0.0006617248 4.7131394e-05 9.80333e-05 0.0007239382 0.00052598637 0.003169115 0.0013385316 0.00059197034 0.0010821369 0.00011311535 0.002556407 0.0032049348 0.0001960666 0.002490423 0.006575772 0.0026940305 3.959037e-05 0.000162132 1.8852557e-05 0.004192809 0.0010086119 0.00057311775 0.0002771326 0.00045434665 0.00036951015 0.0004562319 0.0068792985 0.0029617369 0.005167486 0.0010840221 0.008410126 0.022434544 0.0012782034 0.002571489 0.0033500995 0.014418436 0.0038534629 0.005406914 0.0030767375 0.0009595952 0.0028787856 0.00199083 0.017506486 0.004008054 0.013886794 0.0033953458 0.022536349 0.004258793 6.975447e-05 7.352498e-05 0.00093697215 0.0057820794 0.0029523105 0.00027901787 0.00027901787 0.00031295247 0.0021435358 0.0028259985 0.00829701 0.0021039455 0.0070376596 0.0022623069 0.01057817 0.0057368334 0.0004637729 0.0004015595 0.0012367278 0.0019587807 0.0012348426 0.0019078789 0.0031540329 0.0025092755 0.004371908 0.0047583855 0.010072921 0.008996441 0.00552757 0.0049506817 0.019938465 0.028212853 0.002793949 0.0022528807 0.003708298 0.009775051 0.0074128257 0.0046754344 0.0058876537 0.013585153 0.0012838593 0.0015873854 0.0025903415 0.006142163 0.0032313284 0.00729594 0.015394999 0.034613296 0.005646341 0.005350356 0.006988643 0.013758597 0.013588924 0.008547749 0.009780707 0.024500784 0.00269026 0.0031747709 0.0045943684 0.011786619 0.006786921 0.012663263 0.024717588 0.014510814 0.014531552 0.014507043 0.014663519 0.014422207 0.0143109765 0.014399583 0.014096058 0.01470311 0.014991554 0.014359993 0.014465568 0.014037615 0.014365649 0.014725733 0.014569256 743.0 10.659489 7920.0 0.037121214 0.003030303 0.007449495 0.0025252525 0.0049242424 0.0018939395 0.0035353536 0.0025252525 0.003030303 0.0035353536 0.0047979797 0.0023989899 0.0022727272 0.006691919 0.00719697 0.0053030304 0.0061868685 0.0035353536 0.005050505 0.0056818184 0.0036616162 0.004040404 0.0029040405 0.0011363636 0.004292929 0.0031565656 0.004040404 0.0031565656 0.006313131 0.005934343 0.0061868685 0.003030303 0.008585858 0.013383838 0.0044191917 0.011111111 0.011868686 0.018181818 0.008964647 0.01010101 0.005050505 0.012247475 0.0023989899 0.0025252525 0.006439394 0.007449495 0.006818182 0.005808081 0.010984848 0.0065656565 0.006691919 0.016161617 0.008333334 0.009595959 0.012121212 0.012121212 0.006439394 0.009722223 0.004671717 0.008333334 0.0018939395 0.008207071 0.008712121 0.008964647 0.0021464645 0.03901515 0.0051767677 0.020580808 0.022222223 0.06767677 0.009848485 0.008712121 0.011237374 0.033585858 0.004040404 0.0049242424 0.031565655 0.016287878 0.03459596 0.037373737 0.0142676765 0.0023989899 0.053282827 0.030429292 0.049747474 0.015530303 0.0061868685 0.0053030304 0.007449495 0.01199495 0.0025252525 0.0013888889 0.0018939395 0.0021464645 0.0029040405 0.0021464645 5.9312778 0.0 1.0 0.0 2.0 266603.0 245760.0 0.0 0.0 135.0 0.0 1.0 0.0 1.0 0.0 1349154300.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 -1.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 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 6.0 0.0 2.0 25.0 5.0 0.0 5.0 0.0 86016.0 1024.0 4096.0 8.0 2.0 0.0 2.0 4.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 512.0 -3072.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3584.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -82944.0 -4096.0 108544.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0825517 -6.042624 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.7305634 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.4825587 -5.042266 5.6423035 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -8.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 24.0 -3048.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 22352.0 0.0 0.0 -3484.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -82936.0 -3998.0 108340.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 1.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 3.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 -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 2.0 0.0 -1.0 0.0 0.0 0.0 2.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 3.0 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 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 -2.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 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 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 -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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 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 -3.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -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 2.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 -1.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 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 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -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 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 3998.0 122880.0 108340.0 135168.0 0.0 0.0 9832.0 65661090.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 24.0 131072.0 0.0 0.0 0.0 0.0 588.0 123728.0 0.0 0.0 0.0 0.0


Input: 0.11597842 0.0048673116 0.0043092757 0.004154266 0.004495288 0.003627232 0.0029761905 0.0025421628 0.003999256 0.0031312003 0.0033482143 0.0033172122 0.0033172122 0.0041852677 0.0026661707 0.004340278 0.003999256 0.0026041667 0.0030381945 0.0026351686 0.0035342262 0.0041852677 0.0029141866 0.0025421628 0.0031001985 0.0026041667 0.0029761905 0.0025731646 0.0032862104 0.0026971726 0.0023871528 0.0028831845 0.0050223214 0.0029141866 0.003782242 0.0022631448 0.0034102183 0.0041852677 0.0022011409 0.0030381945 0.0028831845 0.0026661707 0.0029451884 0.0026041667 0.0030691964 0.0030691964 0.003720238 0.0026041667 0.007688492 0.003875248 0.003720238 0.005642361 0.004092262 0.0044332836 0.003782242 0.0036582341 0.003689236 0.003844246 0.0027901786 0.004247272 0.00437128 0.0034412201 0.003875248 0.00375124 0.013175843 0.0053633433 0.0028211805 0.0035342262 0.005797371 0.0048983134 0.003937252 0.004495288 0.0033792162 0.00437128 0.002294147 0.0029761905 0.0031312003 0.003720238 0.003627232 0.0027591765 0.0067894347 0.0029761905 0.0028211805 0.00375124 0.0027901786 0.0031622024 0.004092262 0.0034722222 0.0047433036 0.004092262 0.0032552083 0.0028521826 0.003565228 0.0034722222 0.0031312003 0.0048053074 0.0034102183 0.0050843256 0.003565228 0.0041852677 0.0045262896 0.009114583 0.005549355 0.0034722222 0.0048983134 0.005394345 0.003627232 0.0028521826 0.00421627 0.00421627 0.005301339 0.0048363097 0.0035962302 0.0024801588 0.006076389 0.0055803573 0.00796751 0.0063554067 0.0031932043 0.0031312003 0.003999256 0.0032242064 0.002232143 0.0026041667 0.0029141866 0.0026041667 0.0029141866 0.0026661707 0.004092262 0.0029761905 0.0026041667 0.005177331 0.003565228 0.005394345 0.0025421628 0.0027901786 0.0028521826 0.004278274 0.0031932043 0.0070374506 0.0028521826 0.0046502976 0.0024801588 0.0027901786 0.0029141866 0.0025421628 0.0022631448 0.0022631448 0.0028211805 0.0025731646 0.0024801588 0.0025111607 0.0024491567 0.0025111607 0.0023251488 0.002232143 0.0025731646 0.0030071924 0.0025421628 0.0027901786 0.0026971726 0.0031312003 0.002294147 0.0029761905 0.0026041667 0.0026661707 0.0024181549 0.0025731646 0.0031001985 0.0031001985 0.0022011409 0.0024491567 0.0025421628 0.0026661707 0.002232143 0.0024491567 0.0026971726 0.0023251488 0.0030381945 0.0025731646 0.002232143 0.0025731646 0.0032862104 0.0031312003 0.0027281747 0.0026661707 0.0023251488 0.0027901786 0.0030071924 0.0027901786 0.0028521826 0.0030071924 0.00406126 0.0031312003 0.0031622024 0.004340278 0.003565228 0.0028211805 0.0030071924 0.0034412201 0.0029451884 0.0033172122 0.0024801588 0.0026661707 0.0043092757 0.0027901786 0.0024491567 0.0030071924 0.0030071924 0.0027901786 0.0029451884 0.0025421628 0.0029761905 0.0027901786 0.0030071924 0.002077133 0.0030381945 0.0024181549 0.002077133 0.0029451884 0.0031932043 0.002356151 0.0028521826 0.0025421628 0.0032242064 0.0030381945 0.002139137 0.0026351686 0.0029761905 0.0027591765 0.0027591765 0.0025111607 0.0050843256 0.0027281747 0.002232143 0.003813244 0.0034102183 0.0029451884 0.0027281747 0.0024801588 0.00375124 0.0031622024 0.0026661707 0.0031622024 0.0033172122 0.0026041667 0.0025421628 0.0045262896 0.004123264 0.0033792162 0.0031001985 0.0027591765 0.003968254 0.003627232 0.00421627 0.018043155 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.014208985 9.765625e-05 0.0012695312 0.00081380206 0.0015625 0.0012532552 0.008723958 0.0047851563 4.8828126e-05 3.2552085e-05 6.510417e-05 6.510417e-05 4.8828126e-05 3.2552085e-05 8.138021e-05 0.00024414062 0.029329427 0.0007324219 0.0018229167 0.0051757814 0.0040690103 0.0034016927 0.011523438 0.005794271 0.0002766927 0.00035807292 0.0002766927 0.0003092448 0.0004394531 0.00026041668 0.0004720052 0.0024251302 0.02556966 0.001171875 0.0026692708 0.00633138 0.005924479 0.0035970053 0.0058105467 0.0040201824 0.0025716147 0.0006347656 0.00052083336 0.00079752604 0.0014322917 0.0008951823 0.0010416667 0.0036783854 0.012483724 0.00079752604 0.0014485677 0.003108724 0.002799479 0.0016764323 0.0011393229 0.0011067708 0.0017903646 0.00016276042 0.0002766927 0.00034179687 0.0018391927 0.0004394531 0.00091145834 0.0030110676 0.018147787 0.0019042969 0.0022298177 0.007714844 0.008691406 0.0034179688 0.0030273437 0.0028971354 0.0040690103 0.0011555989 0.0012369792 0.0014973958 0.0024576823 0.0012044271 0.0023925782 0.0046223956 0.02898763 0.0048828125 0.0036458333 0.0075358073 0.009781901 0.008772787 0.0060872394 0.0061686197 0.013623047 0.002327474 0.0025553384 0.0038085938 0.007975261 0.0036132813 0.005859375 0.017708333 0.036132812 0.038427733 0.037239585 0.03745117 0.038509116 0.038330078 0.03889974 0.037223306 0.037760418 0.035709634 0.036930338 0.037109375 0.037597656 0.03717448 0.036930338 0.03857422 198.0 13.631313 2699.0 0.026306039 0.003705076 0.009633197 0.0029640608 0.0033345683 0.0011115228 0.0033345683 0.0025935532 0.0029640608 0.0033345683 0.0040755835 0.0022230456 0.003705076 0.004446091 0.008892182 0.004446091 0.0100037055 0.008151167 0.009633197 0.0100037055 0.008521675 0.0011115228 0.004446091 0.0025935532 0.0059281215 0.0040755835 0.0040755835 0.008151167 0.011485736 0.0100037055 0.013708781 0.007410152 0.0059281215 0.021859948 0.0029640608 0.007410152 0.032975174 0.007410152 0.0077806595 0.022971472 0.0022230456 0.021489441 0.0007410152 0.003705076 0.003705076 0.0040755835 0.016302334 0.0033345683 0.022230456 0.003705076 0.0025935532 0.006298629 0.0070396443 0.0022230456 0.006298629 0.0070396443 0.020377917 0.004446091 0.0040755835 0.0029640608 0.006298629 0.0029640608 0.0025935532 0.021489441 0.001852538 0.025565024 0.010374213 0.022230456 0.020377917 0.07261949 0.008151167 0.00926269 0.00926269 0.02778807 0.0040755835 0.0059281215 0.020748425 0.020377917 0.031493146 0.030011116 0.013708781 0.0025935532 0.037421267 0.03260467 0.041867357 0.014820304 0.006298629 0.0059281215 0.0077806595 0.00926269 0.001852538 0.0014820304 0.0033345683 0.001852538 0.0022230456 0.0029640608 5.963705 1.0 0.0 0.0 5.0 32256.0 49152.0 1.0 0.0 62.0 1.0 1.0 0.0 0.0 0.0 1475157200.0 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 9.0 0.0 5.0 0.0 5.0 0.0 5632.0 1024.0 4096.0 6.0 0.0 0.0 2.0 3.0 0.0 0.0 0.0 0.0 0.0 19456.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2560.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -512.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5632.0 0.0 1024.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.8227324 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4.97835 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -0.35275948 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.417995 0.0 5.1245365 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 19948.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2390.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -912.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5408.0 0.0 688.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 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 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 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 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 1.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 80.0 13212.0 688.0 20480.0 0.0 0.0 0.0 0.0 516.0 24576.0 28.0 12576.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 12928.0 0.0 0.0 260.0 12288.0 0.0 0.0 0.0 0.0


Input: 0.11852879 0.008218115 0.004066799 0.004027026 0.0075022 0.0065774755 0.0043302956 0.003967366 0.007790555 0.0027592585 0.0023068395 0.002366499 0.004628594 0.002451017 0.0022620948 0.004201033 0.0058516166 0.0027741734 0.0021527188 0.0031271596 0.0055334317 0.0031669326 0.0020582576 0.0032265922 0.007149214 0.0021328323 0.0023466125 0.0020483143 0.0035248904 0.0021676337 0.0022521515 0.0023416409 0.006995093 0.0021825486 0.0053047366 0.0021179172 0.015760088 0.0027841167 0.0023963288 0.002192492 0.0026449107 0.0021875203 0.0021527188 0.0031520177 0.00249079 0.0024261589 0.0023167827 0.0021030023 0.0027095422 0.0020284278 0.002093059 0.0044844165 0.002465932 0.0026647972 0.0019240235 0.0023515841 0.002600166 0.002366499 0.0034702024 0.0031122447 0.0028238897 0.005409141 0.0019687682 0.0025007334 0.0058764745 0.015118748 0.0027443436 0.0029630954 0.0058516166 0.0034602592 0.006627192 0.003256422 0.0026349674 0.0031917908 0.0020333994 0.0018146475 0.004012111 0.002888521 0.002545478 0.0024957617 0.006666965 0.004747913 0.00391765 0.010385749 0.0037685006 0.0033309967 0.0046783104 0.003952451 0.0021278604 0.0022968962 0.0018494489 0.0031818475 0.0028139465 0.0032912237 0.0040966286 0.0039375364 0.0025355348 0.0034055712 0.0020234562 0.0029332656 0.0032663655 0.0058516166 0.0025305632 0.0026598256 0.0050710696 0.0045142462 0.0044794446 0.0019637966 0.0041761748 0.002615081 0.0045540193 0.0037336992 0.0040220544 0.0052947933 0.0043054377 0.0041662315 0.008556187 0.007074639 0.0026747405 0.0024609603 0.0027443436 0.0023217543 0.0018245907 0.0017351012 0.0072784764 0.0022521515 0.0040469123 0.0020234562 0.0032365355 0.006328894 0.0018245907 0.014815478 0.004693225 0.006910575 0.0018146475 0.0023018678 0.0027592585 0.0064929575 0.003529862 0.017674169 0.0024112437 0.0067365677 0.0031371028 0.005090956 0.0024957617 0.0019190519 0.0017848177 0.0019886547 0.00252062 0.002053286 0.0017997326 0.0017052714 0.0023615274 0.0017848177 0.0017848177 0.0019140801 0.0021875203 0.0017002998 0.0018991652 0.0017848177 0.0021527188 0.003256422 0.0016555551 0.0023068395 0.0021875203 0.0019737398 0.0017400729 0.001779846 0.0020234562 0.0018593922 0.0019140801 0.0018792787 0.004186118 0.0018047042 0.0018544205 0.0017997326 0.002093059 0.001779846 0.001710243 0.0018494489 0.0020632292 0.0017301296 0.0018842503 0.0016804133 0.0028238897 0.0029929255 0.0016754416 0.0019240235 0.00221735 0.0019289951 0.0032763088 0.0020234562 0.0063189506 0.0027194854 0.003848047 0.005438971 0.0076861507 0.005349481 0.0032116773 0.0032912237 0.0024162156 0.0031917908 0.002053286 0.00194391 0.014392888 0.0019190519 0.0020632292 0.0017848177 0.002286953 0.0019687682 0.0023615274 0.0020582576 0.0019637966 0.0017152147 0.0018494489 0.0021030023 0.002739372 0.0019488817 0.0018991652 0.0033210535 0.0020284278 0.0034005996 0.0017748744 0.0018295624 0.0022521515 0.0020234562 0.0020632292 0.0017301296 0.002078144 0.0020632292 0.0019190519 0.0027542869 0.012095992 0.002848748 0.0025156483 0.006761426 0.0061946595 0.0020682008 0.0023615274 0.0017400729 0.0028586912 0.0020085413 0.0021278604 0.0025405064 0.0020085413 0.002038371 0.0028537195 0.002326726 0.0036790112 0.006567532 0.0034055712 0.0028636628 0.002639939 0.0025156483 0.002615081 0.017460389 0.03076923 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.016471354 8.2632214e-05 0.00033804087 0.00012019231 0.00040564904 6.510417e-05 0.00011268029 0.00010767228 0.00025290466 0.00012019231 2.5040064e-05 0.0003029848 6.2600164e-05 6.2600164e-05 3.2552085e-05 0.001950621 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0112855565 0.0002729367 0.00010767228 0.00013020834 0.00080378604 0.0002704327 0.0008338341 0.0005809295 0.00033052886 5.508814e-05 3.7560098e-05 4.7576123e-05 0.00010516827 9.014423e-05 0.0001176883 0.00031550482 0.0034580329 1.50240385e-05 0.00021284055 0.0003505609 0.00012520033 7.261619e-05 0.0005033053 0.00023036859 2.0032052e-05 2.0032052e-05 2.2536058e-05 2.0032052e-05 2.2536058e-05 2.2536058e-05 2.0032052e-05 1.2520032e-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 0.013371394 0.00043569712 0.0022511017 0.00067107374 0.0026567508 0.001985677 0.007479467 0.0041866987 0.0009014423 0.00015775241 0.00032051283 0.00024288862 0.00036057693 0.00017027244 0.00025791267 0.00044821715 0.00831831 0.00039813702 0.002794471 0.0012770433 0.0028896234 0.0014498197 0.007967749 0.0041165864 0.00033553687 0.00017277645 0.00014773638 0.00013020834 0.00010767228 0.00017778446 0.00013521635 0.0003505609 0.0012645232 1.50240385e-05 0.0006109776 0.00040564904 0.0004957933 0.00035556892 0.0011944111 0.0006234976 2.0032052e-05 2.0032052e-05 2.2536058e-05 2.0032052e-05 2.2536058e-05 2.2536058e-05 2.0032052e-05 1.50240385e-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 0.027135918 0.005060597 0.0063126003 0.0030423678 0.007061298 0.008633814 0.0029572316 0.005068109 0.016924579 0.0012269631 0.0013496594 0.001565004 0.013060898 0.0018930288 0.0041541466 0.0073742988 0.040452223 0.011921574 0.012577624 0.0065905447 0.01867488 0.01753055 0.007289163 0.0108749 0.031828426 0.0021409255 0.0034430088 0.0028871193 0.023111979 0.0041466346 0.010324018 0.01671925 0.03241186 0.033666365 0.034069512 0.032439403 0.034407552 0.034778144 0.02815004 0.03704928 0.039182693 0.027791968 0.029154146 0.02859325 0.030944511 0.02871845 0.038251203 0.03346855 1122.0 9.931373 11143.0 0.05707619 0.0034999552 0.0021538185 0.0026922731 0.01103832 0.009422956 0.00367944 0.002871758 0.0069999103 0.005653774 0.004756349 0.0037691824 0.0032307277 0.0074486225 0.0058332584 0.003051243 0.005743516 0.004666607 0.0042178947 0.005115319 0.0027820156 0.002423046 0.0027820156 0.0034102127 0.0026025306 0.0039486676 0.004487122 0.0031409853 0.004935834 0.0032307277 0.002064076 0.004756349 0.0053845462 0.010948578 0.005923001 0.008346047 0.008705016 0.0070896526 0.0077178497 0.0066409404 0.004666607 0.008166562 0.0017051063 0.0026025306 0.013999821 0.008346047 0.005294804 0.005294804 0.010140896 0.004756349 0.012204972 0.012115229 0.011935744 0.0074486225 0.011846002 0.0077178497 0.0037691824 0.0039486676 0.0031409853 0.0069101676 0.004576864 0.0063717132 0.004307637 0.013102396 0.0027820156 0.031050883 0.0075383647 0.018666428 0.02467917 0.067845285 0.00996141 0.017589519 0.013461366 0.03930719 0.004487122 0.0052050613 0.033743158 0.014538275 0.03464058 0.0338329 0.01579467 0.002871758 0.0427174 0.03464058 0.046127614 0.01471776 0.015256215 0.0060127433 0.010410123 0.006730683 0.0025127884 0.0021538185 0.0039486676 0.002243561 0.0037691824 0.0021538185 5.9211226 1.0 0.0 0.0 5.0 201141.0 212992.0 1.0 0.0 123.0 0.0 1.0 0.0 0.0 0.0 1254323200.0 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 65536.0 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 12288.0 0.0 0.0 0.0 0.0 0.0 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 -176128.0 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 5.437091 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3.073459 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -14.41255 0.0 2.7205336 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 10986.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -14132.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -172590.0 0.0 960.0 0.0 0.0 0.0 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 -2.0 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 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 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 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 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 -2.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 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 0.0 0.0 0.0 -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 2.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 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 1.0 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 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 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 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 -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 0.0 100.0 78324.0 960.0 98304.0 0.0 0.0 0.0 0.0 0.0 0.0 28.0 70144.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 78168.0 0.0 0.0 508.0 69632.0 0.0 0.0 0.0 0.0


Input: 0.05654212 0.008293354 0.006164231 0.005645638 0.0057499763 0.004960723 0.004199363 0.0054214653 0.005050599 0.005613613 0.0037510176 0.0044648577 0.0049472935 0.003179739 0.004324362 0.0046415096 0.0050392356 0.003759282 0.0049317977 0.004162173 0.0043656845 0.0031766398 0.004109487 0.0038429594 0.0050826236 0.0033460606 0.0031714744 0.0029349052 0.0041384124 0.0034390353 0.0037820092 0.0037933728 0.006174561 0.003818166 0.003489655 0.0030340783 0.0048873764 0.0041580405 0.0038346949 0.0037241583 0.0047365506 0.0039039096 0.003337796 0.0031084581 0.0043656845 0.0037262242 0.0037272573 0.0035867621 0.005507209 0.003950397 0.0030898633 0.002890484 0.0036714724 0.0030795326 0.0026890384 0.0028677566 0.00417147 0.003316102 0.0035154813 0.0033501927 0.004009281 0.0032293254 0.0035010185 0.0034565972 0.006592948 0.003958661 0.003623952 0.0032324246 0.0041570077 0.0032272595 0.0035423408 0.0030692022 0.004993781 0.0037706455 0.0037034971 0.003585729 0.0041353134 0.0031332516 0.0035609356 0.0034617626 0.005167334 0.0036156876 0.0036477123 0.0033336638 0.003930769 0.003392548 0.0033574242 0.0035351093 0.004644609 0.0036528774 0.0038130009 0.003507217 0.004118785 0.0033791182 0.0036869682 0.0037851082 0.005902868 0.0036332496 0.0033439945 0.0029596984 0.004018578 0.0030526733 0.0032644493 0.0030330452 0.0049679545 0.0031704414 0.0031890364 0.003048541 0.0035815968 0.0028408973 0.0030919295 0.0031952348 0.0045061796 0.0032944079 0.0032220942 0.003141516 0.0038894468 0.0033295318 0.0032871766 0.0036280842 0.004627047 0.0032944079 0.003473126 0.0031673424 0.004028909 0.0031931687 0.0034689938 0.0033408953 0.008629097 0.0045939893 0.004011347 0.0035351093 0.004361552 0.003449366 0.0030185825 0.0033873827 0.004537171 0.0038439925 0.0029658969 0.0031931687 0.0037313895 0.0028037075 0.0028429634 0.0029834588 0.0052179536 0.003218995 0.0034958534 0.003025814 0.003662175 0.0031859372 0.0033078375 0.0032716808 0.004542337 0.0028429634 0.003047508 0.0027066004 0.0035144482 0.0032262264 0.0029813927 0.0031590778 0.005012376 0.0034163082 0.0032696147 0.0028057736 0.0037727116 0.0030103181 0.0030588717 0.0031859372 0.0041404786 0.0030061859 0.0031291193 0.0030216817 0.0036497782 0.002836765 0.002914244 0.0030413098 0.004664237 0.0031094912 0.003837794 0.0028470957 0.0035619687 0.0031652763 0.002986558 0.0031187888 0.0042530815 0.0031497804 0.0033274656 0.0031756067 0.0036487454 0.003202466 0.0033295318 0.0033419284 0.006707617 0.004067132 0.0037262242 0.003336763 0.004127049 0.0032716808 0.003297507 0.003238623 0.004324362 0.0033336638 0.003123954 0.003084698 0.0036384147 0.0029927562 0.0030774665 0.002797509 0.004256181 0.003278912 0.0030991607 0.0030010208 0.0037076294 0.0030206486 0.0029390375 0.0029545333 0.0039803553 0.0031136235 0.0027293277 0.002638419 0.0035402747 0.002951434 0.003585729 0.002891517 0.0049472935 0.0032468874 0.0033977132 0.0029772604 0.0038119678 0.0030795326 0.0031942017 0.002909079 0.004440064 0.0054410934 0.0034648618 0.0031311854 0.0037933728 0.0030867641 0.0032406892 0.0031880033 0.004610518 0.0033264325 0.0034214735 0.003043376 0.0037458523 0.0030950285 0.0033243664 0.0032489535 0.0043512215 0.0030413098 0.003179739 0.002856393 0.0040144464 0.0030950285 0.0042355196 0.0045041135 0.011643232 0.0 0.0 0.0 0.0 0.0 1.0344942e-06 3.1034824e-06 0.0 1.0344942e-06 2.0689884e-06 0.0 0.0 1.0344942e-06 0.0 1.0344942e-06 0.002047264 4.1379767e-06 2.0689884e-06 6.206965e-06 5.172471e-06 1.0344942e-06 3.1034826e-05 1.1379436e-05 0.0 0.0 1.0344942e-05 0.0 0.0 0.0 0.0 0.0 0.0009481139 2.5862355e-06 6.206965e-06 1.29311775e-05 9.310447e-06 5.689718e-06 5.172471e-05 2.2758872e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0028557212 3.569005e-05 2.7931343e-05 1.0862189e-05 2.2241626e-05 3.4655553e-05 4.241426e-05 1.8103648e-05 3.569005e-05 5.172471e-06 9.827695e-06 1.6034659e-05 2.6379601e-05 7.241459e-06 1.7069155e-05 1.29311775e-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 0.0008777683 1.1896683e-05 1.241393e-05 8.275953e-06 1.3448424e-05 1.6034659e-05 1.3448424e-05 1.1379436e-05 1.0862189e-05 1.3448424e-05 6.724212e-06 1.3448424e-05 1.1896683e-05 1.0344942e-05 1.8103648e-05 9.827695e-06 0.0016210524 6.517313e-05 5.689718e-05 4.8621227e-05 4.758673e-05 3.0517578e-05 2.2758872e-05 0.0005534544 3.000033e-05 1.7069155e-05 1.965539e-05 0.0002767272 2.0689884e-05 0.0002736237 1.6551907e-05 7.7587065e-05 0.0007412151 3.724179e-05 3.413831e-05 2.0689884e-05 2.2241626e-05 1.7069155e-05 1.3965671e-05 1.1896683e-05 1.6551907e-05 2.2758872e-05 1.9138142e-05 1.75864e-05 6.724212e-06 4.6552236e-06 2.2758872e-05 5.0690214e-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 0.0013153594 3.724179e-05 4.2931508e-05 6.000066e-05 4.241426e-05 3.1552074e-05 9.1552734e-05 5.844892e-05 3.931078e-05 5.7414425e-05 4.3966003e-05 4.2931508e-05 7.810431e-05 7.7587065e-06 8.7932e-06 0.00016086384 0.0011663922 6.931111e-05 4.603499e-05 4.603499e-05 3.8276285e-05 3.7759037e-05 4.758673e-05 6.000066e-05 5.2241954e-05 5.0690214e-05 6.827662e-05 5.172471e-05 7.5000826e-05 1.4482918e-05 4.3966003e-05 0.00025086483 0.004570395 0.00029172737 0.00027310647 0.000265865 0.00030517578 0.00023793367 0.00032896915 0.00030362405 0.00032534843 0.00035121077 0.00032431394 0.00035276252 0.0005182816 0.00015724312 0.0001877607 0.0007401806 0.0031898627 0.00027310647 0.0003000033 0.0002482786 0.00028810662 0.00028189967 0.00034241757 0.000931562 0.0004065562 0.00035069353 0.00032379667 0.00066776597 0.00046190165 0.00043448756 0.00017431227 0.0008591474 0.002246404 0.00018155373 0.00028965838 0.00024465786 0.0002979343 0.0002943136 0.00028500313 0.000401901 0.00044224627 0.00032224494 0.00024569235 0.0003165552 0.00045983266 0.00016138109 0.00018931243 0.0010365632 0.00034396932 5.4310945e-05 4.2931508e-05 4.5000495e-05 5.4310945e-05 4.810398e-05 5.327645e-05 5.172471e-05 7.03456e-05 4.810398e-05 3.8276285e-05 4.9138474e-05 4.448325e-05 2.6379601e-05 4.1897016e-05 4.7069483e-05 0.09908644 0.062034994 0.06249586 0.055309232 0.060630668 0.05955893 0.054971986 0.054466117 0.060483254 0.05317921 0.05217523 0.052935585 0.056459587 0.05060487 0.05665097 0.053872317 4041.0 5.7023015 23043.0 0.017141866 0.010632296 0.009417176 0.008722822 0.013583301 0.012411579 0.011804018 0.011500238 0.012585167 0.009764354 0.008549234 0.008809617 0.013800287 0.0105455015 0.011673828 0.009894545 0.0166211 0.011977607 0.008679425 0.007464306 0.009851147 0.008549234 0.007898277 0.008375646 0.0102851195 0.008505837 0.009547368 0.008896411 0.011456842 0.009026603 0.009590765 0.009286985 0.018183397 0.010849282 0.010371913 0.00907 0.010849282 0.008809617 0.010762488 0.008288851 0.014190861 0.01163043 0.009720957 0.008939808 0.011500238 0.009330383 0.01163043 0.009547368 0.014711626 0.009547368 0.009894545 0.00907 0.012107799 0.009417176 0.009547368 0.009764354 0.0136266975 0.009200191 0.010502105 0.009503971 0.011153062 0.009764354 0.010371913 0.010632296 0.017879616 0.010979474 0.009634162 0.00815866 0.013062535 0.008202057 0.009330383 0.008375646 0.015362583 0.009330383 0.008853014 0.008679425 0.011370047 0.008115263 0.0100681335 0.007811483 0.013192726 0.008028468 0.0086360285 0.00876622 0.011456842 0.009503971 0.008288851 0.008028468 0.011109664 0.008983205 0.011890813 0.008419042 0.011196459 0.009026603 0.01011153 0.008809617 6.5549383 0.0 0.0 0.0 15.0 968004.0 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