Input: 0.056750245 0.008307291 0.006173441 0.005660197 0.005755588 0.0049613565 0.004201341 0.0054217204 0.0050536366 0.005632202 0.0037523822 0.0044719605 0.0049603195 0.0031707059 0.004325764 0.0046513365 0.0050391206 0.0037710455 0.0049333614 0.004155719 0.0043496112 0.0031748533 0.004109061 0.0038446623 0.0050691892 0.0033480083 0.0031603375 0.002932229 0.004159867 0.0034340674 0.0037876354 0.0037917828 0.006172404 0.003817704 0.0034838365 0.003026583 0.0048970715 0.004159867 0.003840515 0.0037202397 0.004728064 0.0038923577 0.0033334922 0.0030991628 0.004373459 0.0037357926 0.003725424 0.003580264 0.005520222 0.0039400533 0.0031012367 0.002904234 0.0036756548 0.0030680571 0.0026833836 0.002859649 0.0041743824 0.0033096445 0.0035263475 0.00335734 0.0040095225 0.0032152908 0.0035056104 0.0034558414 0.006598552 0.00394109 0.0036144804 0.0032194383 0.004157793 0.0032215118 0.00353879 0.0030680571 0.005000757 0.0037710455 0.003702613 0.0035906327 0.00412254 0.0031230105 0.0035636744 0.0034703573 0.0051635434 0.0036227752 0.0036559545 0.0033334922 0.0039307214 0.0033728927 0.0033625243 0.0035398267 0.004648226 0.0036414387 0.0038073356 0.0035076842 0.0041111344 0.0033853352 0.0036829128 0.0037917828 0.005908006 0.0036227752 0.003342824 0.0029560768 0.0040022647 0.0030493937 0.0032650598 0.0030224356 0.0049748356 0.0031655217 0.0031976642 0.0030525043 0.0035709324 0.0028275065 0.0030825732 0.00319248 0.0045123976 0.0032878707 0.0032235857 0.003141674 0.0038954683 0.003328308 0.0032868339 0.0036279594 0.004621268 0.0032857968 0.0034817627 0.0031717427 0.00403337 0.0031935167 0.0034682837 0.0033438609 0.008655675 0.004598457 0.004011596 0.0035242739 0.0043703485 0.0034330306 0.0030162144 0.0033915562 0.0045435033 0.0038291095 0.0029529661 0.0031904061 0.003731645 0.0027912166 0.0028472068 0.0029871825 0.005224718 0.0032090696 0.003501463 0.0030234724 0.0036642493 0.0031790007 0.0033034235 0.0032588388 0.0045414297 0.0028378752 0.0030390252 0.0027041207 0.0035118316 0.003226696 0.002989256 0.003147895 0.0050121625 0.003409183 0.003264023 0.0027974378 0.0037783035 0.0030110301 0.0030576887 0.003183148 0.0041443137 0.0030016983 0.0031178263 0.0030131037 0.003645586 0.0028347645 0.0029187498 0.0030296934 0.004666889 0.003113679 0.003840515 0.0028617228 0.0035647112 0.0031572268 0.0029882193 0.0031167895 0.0042531835 0.0031437476 0.0033366028 0.0031800377 0.0036486965 0.00319248 0.003328308 0.003350082 0.0067281593 0.0040603285 0.0037233501 0.0033397134 0.00412254 0.0032536543 0.0033023867 0.0032246225 0.004335095 0.0033314186 0.0031178263 0.0030867206 0.003644549 0.0029871825 0.0030732413 0.0027922534 0.0042459257 0.003271281 0.003090868 0.002996514 0.0037160923 0.0030296934 0.00293845 0.002947782 0.0039815274 0.0031064209 0.0027290052 0.0026346513 0.0035273845 0.002945708 0.0035792273 0.002887644 0.004962393 0.003234991 0.0034029617 0.0029726664 0.0038031882 0.0030753152 0.0031935167 0.0029114918 0.0044398177 0.005451789 0.003465173 0.0031302685 0.0037917828 0.0030898312 0.0032526175 0.0031893693 0.0046098623 0.003328308 0.003422662 0.0030390252 0.003738903 0.0030919048 0.0033158658 0.0032391385 0.0043547954 0.003032804 0.0031893693 0.0028658703 0.0040167803 0.003090868 0.0042251884 0.0045206924 0.011692777 0.0 0.0 0.0 0.0 0.0 1.0388962e-06 3.1166887e-06 0.0 1.0388962e-06 2.0777925e-06 0.0 0.0 1.0388962e-06 0.0 1.0388962e-06 0.0020559758 4.155585e-06 2.0777925e-06 6.2333775e-06 5.194481e-06 1.0388962e-06 3.116689e-05 1.1427859e-05 0.0 0.0 1.0388962e-05 0.0 0.0 0.0 0.0 0.0 0.00095214846 2.5972406e-06 6.2333775e-06 1.2986204e-05 9.350067e-06 5.7139296e-06 5.1944815e-05 2.2855718e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.002867873 3.584192e-05 2.8050199e-05 1.0908411e-05 2.233627e-05 3.4803026e-05 4.2594747e-05 1.8180684e-05 3.584192e-05 5.194481e-06 9.8695145e-06 1.6102893e-05 2.6491854e-05 7.272274e-06 1.7141789e-05 1.2986204e-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 0.0008815035 1.1947307e-05 1.2466755e-05 8.31117e-06 1.3505652e-05 1.6102893e-05 1.3505652e-05 1.1427859e-05 1.0908411e-05 1.3505652e-05 6.752826e-06 1.3505652e-05 1.1947307e-05 1.0388962e-05 1.8180684e-05 9.8695145e-06 0.0016279505 6.545046e-05 5.7139296e-05 4.8828126e-05 4.7789228e-05 3.064744e-05 2.2855718e-05 0.0005558095 3.0127992e-05 1.7141789e-05 1.9739029e-05 0.00027790476 2.0777925e-05 0.00027478806 1.662234e-05 7.791722e-05 0.0007443692 3.7400267e-05 3.4283577e-05 2.0777925e-05 2.233627e-05 1.7141789e-05 1.40250995e-05 1.1947307e-05 1.662234e-05 2.2855718e-05 1.921958e-05 1.7661238e-05 6.752826e-06 4.6750333e-06 2.2855718e-05 5.0905917e-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 0.0013209566 3.7400267e-05 4.3114196e-05 6.0255985e-05 4.2594747e-05 3.1686337e-05 9.194232e-05 5.869764e-05 3.9478058e-05 5.7658744e-05 4.415309e-05 4.3114196e-05 7.843667e-05 7.791722e-06 8.830619e-06 0.00016154838 0.0011713556 6.960605e-05 4.6230885e-05 4.6230885e-05 3.843916e-05 3.7919715e-05 4.7789228e-05 6.0255985e-05 5.2464264e-05 5.0905917e-05 6.8567155e-05 5.1944815e-05 7.531998e-05 1.4544548e-05 4.415309e-05 0.00025193236 0.0045872466 0.0002945271 0.00027322973 0.00026491855 0.00031011054 0.00023946559 0.00033036902 0.00031322724 0.00032725232 0.00035322472 0.00032725232 0.00035322472 0.0005225648 0.00015167886 0.00018700134 0.0007391747 0.0032034367 0.00027426862 0.0003012799 0.0002493351 0.00028933262 0.00028309925 0.00034387468 0.0009355261 0.00040828623 0.00035218583 0.00032517454 0.00067060755 0.00046386718 0.00043633644 0.00017505403 0.00086280337 0.0022559632 0.0001823263 0.00029089095 0.00024569896 0.00029920213 0.000295566 0.00028621592 0.0004036112 0.00044412815 0.0003236162 0.00024673788 0.00031790228 0.0004617894 0.00016206782 0.00019011802 0.001040974 0.000345433 5.4542055e-05 4.3114196e-05 4.5191988e-05 5.4542055e-05 4.8308677e-05 5.3503158e-05 5.1944815e-05 7.064495e-05 4.8308677e-05 3.843916e-05 4.9347575e-05 4.467254e-05 2.6491854e-05 4.20753e-05 4.726978e-05 0.099270694 0.062016394 0.06246104 0.055313956 0.06057908 0.059557326 0.054916576 0.054463618 0.060474154 0.05313383 0.05211052 0.052943714 0.056423496 0.050523605 0.05666244 0.05383041 4018.0 5.7038326 22918.0 0.01710446 0.010472118 0.0093376385 0.008595863 0.013482852 0.01243564 0.0118684005 0.01151933 0.012522908 0.009773977 0.008508596 0.008595863 0.013875556 0.010515752 0.011781133 0.009992146 0.016755389 0.0118684005 0.008770399 0.0075486517 0.0098176105 0.008464962 0.007810455 0.00833406 0.0102975825 0.00855223 0.009599442 0.008944934 0.011562964 0.008944934 0.009686709 0.009206737 0.01802077 0.010864822 0.010341217 0.009032202 0.0109084565 0.008814032 0.010646653 0.00833406 0.01426826 0.011650232 0.0098176105 0.008944934 0.01151933 0.0093376385 0.011693865 0.009555807 0.014791867 0.009643075 0.009948513 0.009032202 0.012086569 0.0093376385 0.009555807 0.009773977 0.013701021 0.009206737 0.010559386 0.009555807 0.011170259 0.009861245 0.01038485 0.010690287 0.017933503 0.010995724 0.009686709 0.008203159 0.013090148 0.0082467925 0.009424906 0.00833406 0.015446374 0.009294005 0.0089013 0.008683131 0.011344794 0.00798499 0.009904878 0.007854088 0.013221049 0.008072258 0.008726765 0.0089013 0.011432062 0.009424906 0.0082467925 0.007854088 0.010864822 0.008814032 0.011912034 0.008508596 0.011301161 0.008988568 0.009992146 0.008814032 6.55466 0.0 0.0 0.0 14.0 964454.0 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: 0.14227162 0.014014175 0.007393726 0.005417212 0.007515962 0.0065933987 0.0050596576 0.003472629 0.009117431 0.002530744 0.004257906 0.0028565698 0.0028732477 0.0036591347 0.0020814622 0.021630203 0.008428356 0.0032065988 0.001699298 0.0015022161 0.002322069 0.006921055 0.0012823548 0.0013096087 0.003968283 0.0014590981 0.0013079816 0.0012428977 0.0022734595 0.00135232 0.0011322552 0.0024943377 0.017163826 0.0029908053 0.0016622817 0.0011139504 0.01785107 0.002378814 0.0010622902 0.0011692717 0.0055469726 0.0017296027 0.00122622 0.0016354346 0.0017893985 0.0018565162 0.0017314332 0.001307168 0.0066332626 0.0010681883 0.002143902 0.006766074 0.002901315 0.0011948984 0.0012565247 0.0012428977 0.0037311339 0.0023979323 0.0018538722 0.0021260038 0.0016984845 0.0016307567 0.0007018884 0.0008949026 0.006778684 0.01312151 0.005621819 0.00517152 0.012505857 0.007820229 0.0029704666 0.002306815 0.060608704 0.006342826 0.001980989 0.0021477663 0.008398051 0.0031575826 0.0015317072 0.001674078 0.0037909297 0.000833073 0.0012184912 0.0023413908 0.0031549386 0.001484318 0.0015121821 0.0023186114 0.0022026808 0.0011536109 0.0006752447 0.002293188 0.003999198 0.0014708946 0.0014792334 0.002903959 0.0023965086 0.0041517382 0.0011700852 0.0027617915 0.0043825824 0.0064959764 0.003790116 0.0017656023 0.0024003729 0.004578037 0.0004791797 0.0011438483 0.0039933 0.0022252568 0.0042048222 0.0041861106 0.0044419714 0.0005393822 0.004525563 0.004412887 0.014303798 0.007636774 0.0015685202 0.0010995099 0.002324103 0.0015229615 0.00088981795 0.00088412315 0.0022738662 0.00078670075 0.0007492776 0.00083042897 0.0030823294 0.0021756303 0.0007771416 0.011291434 0.004670985 0.011251164 0.00091788534 0.0010352397 0.002345255 0.0140479375 0.0004401294 0.042769432 0.0011249332 0.016203636 0.0005674496 0.00061849976 0.0018298725 0.00047511194 0.00046840016 0.0006630415 0.0008615472 0.00058738154 0.00042690925 0.0005338908 0.0010954422 0.0004507055 0.00042345165 0.00043280746 0.001070629 0.0004291465 0.0004151128 0.0004385023 0.001384455 0.00048182372 0.0004635189 0.00050623016 0.00073646416 0.0005102979 0.00047226454 0.00052168756 0.0011035777 0.0004907727 0.000548738 0.0005220943 0.00083958136 0.00048894226 0.00051884016 0.00073443033 0.001447505 0.00046779 0.00046392565 0.0004926032 0.0009359868 0.00043789213 0.0026047768 0.001257745 0.0043575657 0.0017609244 0.0030383978 0.0007578198 0.0009819523 0.0005863646 0.000705346 0.0006756515 0.011687225 0.0027284361 0.0014896061 0.005960255 0.0043815654 0.00087578426 0.0019512945 0.004717154 0.0032966994 0.0030648382 0.0011047979 0.0032910043 0.023487126 0.0012355758 0.0023617295 0.0028425362 0.0024701348 0.0009730032 0.0023139336 0.0016834339 0.001027511 0.0009945623 0.0013063544 0.0017045861 0.0022466125 0.0013553707 0.00083978474 0.0012205251 0.000814158 0.00075944694 0.0009095465 0.00077551446 0.0021571221 0.00095693563 0.00090303813 0.0006671092 0.001214627 0.0007069731 0.00076229434 0.00076575193 0.017538058 0.0037014394 0.0009339529 0.0029818562 0.0025518963 0.0013462183 0.00087639445 0.0008719199 0.0025950142 0.0011464923 0.0021784778 0.004543665 0.0011772037 0.0007966667 0.0018487875 0.0011877798 0.0028937897 0.0018603805 0.0012819481 0.0011035777 0.0009589695 0.0013173374 0.0018713635 0.026225936 0.00019989014 8.443197e-06 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00059244793 2.1362304e-05 5.1879883e-06 1.6276042e-06 1.6276042e-06 8.138021e-07 1.2207031e-06 7.120768e-07 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00018981933 6.713867e-06 5.6966146e-06 4.8828124e-06 1.2207031e-06 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00018046061 4.8828124e-06 8.646647e-06 7.425944e-06 1.5258789e-06 1.5258789e-06 2.5431316e-06 1.3224284e-06 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00017690023 7.832845e-06 2.4414062e-06 1.6276042e-06 1.6276042e-06 1.6276042e-06 1.6276042e-06 1.6276042e-06 1.6276042e-06 1.6276042e-06 1.6276042e-06 1.6276042e-06 1.6276042e-06 1.6276042e-06 1.6276042e-06 1.6276042e-06 0.00062917074 1.4953614e-05 9.460449e-06 2.6957194e-05 2.9805502e-05 8.443197e-06 6.4188636e-05 2.4210613e-05 3.3569336e-06 3.2552084e-06 3.458659e-06 2.8483073e-06 3.153483e-06 3.5603841e-06 3.2552084e-06 3.2552084e-06 0.0016639201 7.77181e-05 3.4281413e-05 0.0001397705 0.00014251709 1.6377768e-05 3.4383138e-05 1.6581218e-05 2.187093e-05 1.373291e-05 4.4759116e-05 1.2613932e-05 1.3224284e-05 1.4750162e-05 1.02742515e-05 3.4891764e-05 0.003225403 6.907145e-05 0.0011694336 0.0002803548 0.00047342936 0.00022857665 0.0029832968 0.0014494832 7.1716306e-05 2.3295084e-05 2.7974447e-05 3.753662e-05 5.7881673e-05 2.4312338e-05 2.0141602e-05 6.64266e-05 0.011606649 0.0005372111 0.0030640666 0.0009968058 0.0019737752 0.0007969157 0.007153829 0.0037494914 0.00018147787 0.00013112386 8.229574e-05 0.00013987224 0.00019866944 0.00034423827 0.00015116374 0.00014241536 0.01664276 0.0006786092 0.007120056 0.0021969604 0.0040945434 0.003073527 0.017644959 0.008875631 0.000589091 0.00019958496 0.00020273845 0.00018615722 0.00034871418 0.00021087646 0.00031433106 0.0005381266 0.017561138 0.0021384684 0.0040138755 0.0027397664 0.0031828817 0.0018500773 0.00634847 0.0036085001 0.00127889 0.00042470297 0.00031667075 0.00045125326 0.0007675171 0.0004356893 0.0006327311 0.0013327026 0.018158976 0.002681783 0.0023314413 0.002200012 0.003213094 0.0010494995 0.0012960816 0.0013406372 0.0018895468 0.0009958904 0.0018360392 0.0009773764 0.001249288 0.0009153239 0.0011250813 0.0014482625 0.028996684 0.004751689 0.0046581016 0.004833374 0.014889425 0.0023897297 0.0015259807 0.0028024293 0.011374919 0.0012278239 0.0011499024 0.002348531 0.008616638 0.0017890421 0.0029466755 0.0040323893 0.117727354 0.025109557 0.031720173 0.019574076 0.091332294 0.018403016 0.009856568 0.020824177 0.07783976 0.0060291546 0.0051371255 0.013249715 0.050643716 0.013589274 0.025656942 0.03539042 0.022997843 0.0057141115 0.00799764 0.005158793 0.022750549 0.0049313353 0.0031082153 0.006013896 0.020012105 0.0014661662 0.0013705444 0.0034638469 0.012508851 0.003962809 0.007996826 0.009921468 0.00011444092 8.626302e-05 8.687337e-05 8.646647e-05 8.6771644e-05 8.494059e-05 0.000110371904 8.931478e-05 8.4228515e-05 8.392334e-05 8.514404e-05 0.00010253906 8.524577e-05 0.000102437334 8.473714e-05 8.4635416e-05 25231.0 17.13 432207.0 0.10391317 0.00061775954 0.008535262 0.0017052015 0.010164111 0.014476859 0.00023368432 0.0014183018 0.005409445 0.0028921326 0.0005252113 0.00096250174 0.002447901 0.008250676 0.00540019 0.0020198654 0.0053099557 0.002299824 0.0035145197 0.0042202002 0.0029985632 0.0006825433 0.0015710065 0.0005252113 0.0022558635 0.004817136 0.0044122376 0.0020684532 0.0020129243 0.007646799 0.0017468481 0.00021054727 0.0043590222 0.02431011 0.0035607938 0.0074940943 0.010953085 0.008875377 0.00362095 0.0035307156 0.013493534 0.0076167206 0.0007727779 0.0007820327 0.0064992006 0.005927715 0.0035006374 0.0029037013 0.007746288 0.00046736863 0.004502472 0.011422767 0.009546352 0.0056107375 0.008306205 0.006022577 0.0016566137 0.0006871707 0.00017121425 0.006022577 0.004638981 0.007746288 0.0053354064 0.011792961 0.0010689322 0.04066107 0.0071933125 0.02259334 0.029557597 0.06694246 0.015293598 0.014298704 0.009705997 0.04498076 0.0005807402 0.0050762715 0.025682138 0.018493453 0.04057315 0.040943343 0.019175997 0.0006293281 0.03859493 0.037391804 0.055003736 0.01919682 0.007408487 0.004250278 0.0076421713 0.0072326455 0.0018046908 0.00040258488 0.0019805324 0.00019203761 0.00015501831 0.00015270461 5.514595 1.0 31.0 0.0 5.0 4916736.0 4947968.0 1.0 0.0 415.0 1.0 1.0 0.0 0.0 0.0 1542969100.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 14.0 0.0 6.0 0.0 6.0 0.0 3837952.0 1024.0 4096.0 7.0 0.0 0.0 1.0 1.0 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 815616.0 0.0 0.0 0.0 0.0 206336.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -42496.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3838464.0 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 -5.4296365 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.8512125 0.0 0.0 0.0 0.0 6.4745727 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3.816456 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7.9655395 0.0 4.875811 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -11904.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 815176.0 0.0 0.0 0.0 0.0 206328.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -57096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3837481.0 0.0 480.0 0.0 0.0 0.0 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 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 0.0 0.0 0.0 0.0 0.0 0.0 -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 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 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 1.0 0.0 0.0 0.0 0.0 1.0 0.0 -2.0 -1.0 0.0 1.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 2.0 0.0 1.0 1.0 0.0 -1.0 0.0 0.0 1.0 0.0 1.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 2.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 2.0 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 1.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 -1.0 1.0 1.0 1.0 0.0 0.0 0.0 0.0 1.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 -2.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 1.0 0.0 0.0 1.0 -1.0 0.0 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 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 0.0 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 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 2.0 -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 -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 1.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 2.0 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 -1.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 -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 0.0 0.0 1.0 0.0 2.0 -1.0 -2.0 1.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 -1.0 -1.0 0.0 -1.0 0.0 0.0 1.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 2.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -2.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 2.0 1.0 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 1.0 0.0 0.0 1.0 0.0 1.0 1.0 0.0 1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 1.0 0.0 -1.0 -1.0 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 0.0 0.0 1.0 1.0 0.0 0.0 0.0 1.0 1.0 0.0 -1.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 1.0 1.0 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 -1.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 1.0 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 -1.0 1.0 0.0 -2.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 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 -2.0 1.0 0.0 -1.0 1.0 0.0 0.0 -1.0 0.0 -1.0 1.0 0.0 0.0 -1.0 0.0 -1.0 1.0 -1.0 1.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 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 1.0 0.0 2.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 2.0 1.0 -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 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 -1.0 -2.0 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 -1.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 1.0 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 1.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 -1.0 1.0 0.0 -1.0 2.0 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 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 1.0 -1.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 1.0 0.0 0.0 1.0 0.0 1.0 -1.0 0.0 0.0 2.0 0.0 -1.0 2.0 0.0 -1.0 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 0.0 -1.0 0.0 -1.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 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 -1.0 0.0 -1.0 1.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 -1.0 -1.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 1.0 -1.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 1.0 1.0 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 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 440.0 4646452.0 480.0 4931584.0 206328.0 4718592.0 0.0 0.0 11904.0 4935680.0 84.0 4334368.0 0.0 0.0 0.0 0.0 0.0 0.0 148.0 4334464.0 0.0 0.0 3488.0 3842048.0 0.0 0.0 0.0 0.0


Input: 0.033960752 0.0051438175 0.004171891 0.0041527264 0.0050614094 0.0040057055 0.0037598494 0.0038491022 0.0053650336 0.0036432182 0.0035898306 0.0036224108 0.004594885 0.0037360303 0.003468819 0.004044309 0.0042187083 0.0035022204 0.0034069442 0.0033489023 0.0039063226 0.0038764805 0.0035085173 0.0034669025 0.0036804525 0.0036166613 0.0034176216 0.00348771 0.003636921 0.0034595104 0.0033447957 0.003410777 0.0041349307 0.0033675197 0.0034293944 0.0034521183 0.0042203506 0.0035714873 0.003417348 0.003330559 0.0036204942 0.003317965 0.0034307633 0.0035156356 0.0035142668 0.003378197 0.003472378 0.0033948978 0.0036968794 0.0034274778 0.003471283 0.0038981093 0.0035394547 0.003612007 0.0035208375 0.0033918861 0.0036815477 0.003692499 0.0033565683 0.0040886616 0.0034915428 0.003466081 0.0033450695 0.0033275473 0.003917548 0.0036402065 0.0035285035 0.0036065313 0.0039947545 0.0059881615 0.005913419 0.0042085783 0.004360801 0.0035638213 0.003407218 0.0034419883 0.0035632737 0.0052196556 0.0036618353 0.0034644385 0.0053664027 0.0038170698 0.0035019466 0.0042471816 0.0035547866 0.0037198772 0.004385989 0.004056903 0.003612007 0.004083186 0.0034080392 0.0036267913 0.0035862715 0.003919738 0.0039879098 0.003804202 0.003561905 0.0036840118 0.00349784 0.0036215894 0.0038206289 0.0042408844 0.003801738 0.0033806611 0.0039692926 0.003707557 0.004359432 0.0034129673 0.0036005082 0.0033918861 0.0037204246 0.003615566 0.0036341834 0.0033762807 0.0037157703 0.0036883922 0.0050285556 0.00540528 0.0035468468 0.0034997563 0.003717687 0.0034742947 0.0032818257 0.0033831252 0.0035413713 0.003712485 0.0035452042 0.0033724476 0.003955056 0.003490174 0.0033801135 0.00505566 0.003877302 0.0044919425 0.0033650557 0.0033234407 0.0038553993 0.005549015 0.0036035196 0.008261648 0.0035211113 0.0070761717 0.0034020161 0.0033694361 0.0038723738 0.003463617 0.003526587 0.003595854 0.0035553342 0.0037658724 0.0034630694 0.0033102992 0.0034121461 0.0034526659 0.0034291206 0.0033160485 0.0035714873 0.003398457 0.0033532828 0.003330559 0.003498935 0.0034515706 0.0033636866 0.0034326797 0.0034315847 0.0034458213 0.00339216 0.0033560207 0.0034617006 0.003325357 0.0033836728 0.0033724476 0.0034157052 0.0033165962 0.0033174176 0.0033398676 0.003413515 0.0033902435 0.0033562945 0.003325631 0.0034704616 0.0033831252 0.0034647123 0.0033510926 0.0039646383 0.003431037 0.0033398676 0.0033976356 0.0034597842 0.0033666983 0.0034113247 0.0033839466 0.0044935853 0.0036883922 0.0037193296 0.0040872926 0.0037612182 0.0033267261 0.0042050187 0.0040007774 0.003721246 0.0038151534 0.0033940764 0.0034466425 0.0038266522 0.0033133107 0.0035613573 0.00342474 0.0035999606 0.0034176216 0.0034085868 0.0034504756 0.0034115985 0.0032952412 0.0034176216 0.0033666983 0.0036267913 0.0034299418 0.0033434269 0.0034567725 0.003496197 0.003368341 0.0033445219 0.003368341 0.0036087215 0.003373269 0.0033535566 0.0033554733 0.003631993 0.0033319278 0.0033661507 0.003378197 0.0066756285 0.0042887963 0.0033798397 0.004006527 0.0040771626 0.0033439742 0.0032539 0.0033332969 0.0039394503 0.0035632737 0.0033899697 0.0035107075 0.0036098168 0.0033327492 0.0034907216 0.0034896263 0.0037623134 0.0039205593 0.0035457518 0.0036799049 0.0049455995 0.0037721696 0.004274012 0.020313809 0.0036423178 1.3696528e-07 5.4786113e-07 1.3696528e-07 1.0957223e-06 5.4786113e-07 1.3696528e-07 5.4786113e-07 6.8482643e-07 2.7393057e-07 1.6435835e-06 5.4786113e-07 4.1089586e-07 4.1089586e-07 5.4786113e-07 0.005326169 0.00053087744 2.6023404e-06 1.0957223e-06 1.5066182e-06 5.4786115e-06 9.58757e-07 1.6435835e-06 9.58757e-07 6.574334e-06 8.2179173e-07 1.917514e-06 5.4786113e-07 5.4786113e-07 9.58757e-07 2.6023404e-06 1.917514e-06 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0009936831 4.5198544e-06 5.067716e-06 1.5066182e-06 1.5066182e-05 7.3961255e-06 2.0681759e-05 1.2052946e-05 8.354882e-06 4.5198544e-06 6.8482645e-06 8.354882e-06 9.58757e-06 3.287167e-06 5.752542e-06 1.5340112e-05 0.00021955535 5.4786113e-07 5.8895075e-06 1.3696529e-06 2.4653752e-06 1.3696528e-07 3.4789184e-05 1.424439e-05 2.7393057e-07 1.3696528e-07 0.0 1.3696528e-07 6.8482643e-07 1.3696528e-07 0.0 1.3696528e-07 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0012330984 0.00011710532 3.656973e-05 2.0681759e-05 4.6294266e-05 1.862728e-05 2.7530023e-05 2.1366584e-05 1.7805487e-05 3.862421e-05 2.3421064e-05 9.998466e-06 1.1779015e-05 1.1094188e-05 1.1505084e-05 3.7528487e-05 0.0052067353 0.00023051258 0.00023818263 0.00010108038 0.0006459283 0.000102587 0.0002185966 0.00014545713 4.6020337e-05 0.00014038941 4.273317e-05 4.4102824e-05 4.0815656e-05 3.9582967e-05 3.520008e-05 0.00057621294 0.0032452554 0.000112037604 0.0003409066 0.00017654826 0.00044006947 0.00014066335 0.0005570378 0.00032378593 4.1363517e-05 7.2728566e-05 2.5064648e-05 2.5201613e-05 2.5475543e-05 2.2051412e-05 2.4105891e-05 0.00031830734 0.0021882944 3.4104356e-05 0.00022078805 0.00018394439 0.00050362136 0.00028064186 0.0013870475 0.0007563223 5.5744873e-05 6.204528e-05 3.62958e-05 3.4789184e-05 2.3694995e-05 1.7531556e-05 2.4653751e-05 8.108345e-05 0.00058141764 3.109112e-05 0.000113818154 4.2185307e-05 0.00025598812 8.7794746e-05 0.0003054326 0.00020188684 6.8482645e-05 4.8485712e-05 3.4241322e-05 8.628813e-06 3.1365053e-05 3.5610974e-06 6.300403e-06 0.0001428548 0.0012472059 0.00018997086 0.0001594276 0.00011217457 0.00032337505 0.00018682065 0.00039404913 0.00021421371 0.00022393824 0.00020928295 0.00016422138 0.00010669596 0.00010669596 8.669903e-05 0.00020024324 0.0008435692 0.000493212 0.00011012009 7.587877e-05 6.108652e-05 0.00037473702 0.000112037604 0.00012491235 0.00011628353 0.0004923902 0.00013559563 0.00010820258 0.00012422752 0.00024379822 7.875504e-05 0.00040062345 0.0011557131 0.01048524 0.0018024632 0.0013948545 0.0017884928 0.0047692684 0.003922138 0.0016041375 0.0026489086 0.007717446 0.0010606592 0.0006861961 0.000931227 0.0030085796 0.00096601614 0.003199646 0.007310659 0.011869001 0.0023733345 0.0017363089 0.0022113046 0.005633382 0.0052100224 0.0023307384 0.003345651 0.008382276 0.0015785249 0.0008293248 0.0012200868 0.0039319997 0.0013026769 0.0036364284 0.008083554 0.05417881 0.05230951 0.052266777 0.052336216 0.05249674 0.05264069 0.05240744 0.052151863 0.052552484 0.052493315 0.052372377 0.052420586 0.052381277 0.052297868 0.052241847 0.052283898 15885.0 6.339188 100698.0 0.0122544635 0.008252398 0.009414288 0.008500665 0.009116367 0.009702278 0.008053784 0.00813323 0.008729071 0.007964408 0.008599972 0.008292121 0.008192814 0.009195813 0.01016902 0.0091461595 0.009771793 0.0087886555 0.009364635 0.009364635 0.008480804 0.009344773 0.008977338 0.008599972 0.009821447 0.009702278 0.008639695 0.00870921 0.008590042 0.008977338 0.0086595565 0.008480804 0.010864168 0.011519593 0.009493734 0.010685416 0.015799718 0.009890961 0.010874099 0.010556317 0.011271326 0.011718207 0.008818448 0.008937616 0.009652625 0.008828378 0.009612902 0.008887962 0.012443147 0.009742001 0.009841308 0.013704344 0.009354704 0.00884824 0.011936682 0.010546386 0.00915609 0.008828378 0.008520527 0.009096506 0.009523526 0.008878032 0.008460943 0.009344773 0.008907824 0.015998332 0.009881031 0.012840374 0.012244533 0.024052117 0.010278258 0.010447079 0.011926752 0.017676618 0.009563249 0.009394427 0.013833443 0.010655624 0.017547518 0.015372698 0.011152158 0.008748933 0.017160222 0.015332975 0.020258594 0.012552384 0.0096625555 0.010208743 0.010109436 0.0103775645 0.008262329 0.008927685 0.008073646 0.008441081 0.008182883 0.008302052 6.54086 10.0 2.0 0.0 54.0 3652540.0 647168.0 1.0 0.0 314.0 0.0 1.0 0.0 0.0 0.0 1221112600.0 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 425984.0 4096.0 4096.0 4.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 73728.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -36864.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -425984.0 0.0 90112.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.2348404 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3.6332386 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.643722 0.0 7.5111217 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 70952.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -51372.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -422144.0 0.0 89548.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 -2.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 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 -1.0 1.0 -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 1.0 0.0 0.0 -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 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 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 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 1.0 1.0 0.0 0.0 -1.0 0.0 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 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 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 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 -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 -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 1.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 -1.0 -3.0 0.0 0.0 0.0 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 -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 2.0 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 1.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -2.0 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 2.0 -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 -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 -1.0 -1.0 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 -2.0 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 1.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 -1.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 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 -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 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 -1.0 0.0 1.0 0.0 0.0 0.0 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 -2.0 0.0 0.0 -1.0 0.0 1.0 0.0 1.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 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 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 -1.0 -2.0 0.0 0.0 -2.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 2.0 0.0 2.0 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 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 -1.0 0.0 -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 1.0 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 -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 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 1.0 0.0 0.0 0.0 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 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 1.0 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 -1.0 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 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 1.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 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 2.0 0.0 0.0 0.0 -1.0 1.0 0.0 1.0 0.0 1.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -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 0.0 0.0 0.0 -2.0 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 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 0.0 0.0 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 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 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 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 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 220.0 494080.0 89548.0 557056.0 0.0 0.0 5480.0 4146928.0 0.0 0.0 28.0 431376.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1296.0 430080.0 64.0 493968.0 0.0 0.0


Input: 0.034852672 0.0040457416 0.0037069158 0.00393885 0.003940867 0.0037291008 0.0037573362 0.0037553194 0.00393885 0.0036282598 0.003848093 0.0037775044 0.0038279248 0.0035838897 0.0037089325 0.0043260795 0.0037412017 0.0038743117 0.003725067 0.003759353 0.0036988484 0.0036887643 0.0036524616 0.003815824 0.0038218745 0.0038359922 0.003612125 0.0037714539 0.0038097736 0.0037654035 0.0036867475 0.00363431 0.0037855718 0.0037795212 0.0036161589 0.0036766634 0.0046931407 0.003747252 0.0038017062 0.0037311176 0.0038138072 0.0038238913 0.0036443942 0.003725067 0.0036564951 0.0038682614 0.0036645625 0.0038501099 0.0038884296 0.0037169997 0.0036222092 0.0037492688 0.0037512856 0.0037048988 0.0038440595 0.0038622108 0.0038359922 0.0038339754 0.0036726298 0.0037855718 0.003985237 0.0038057398 0.004019523 0.0036443942 0.0038702781 0.0037169997 0.003591957 0.0036201924 0.004088095 0.0036867475 0.0037089325 0.0037573362 0.0038642276 0.0035939738 0.0037996895 0.0037956557 0.003793639 0.003793639 0.0038238913 0.0036645625 0.00389448 0.0038138072 0.003924732 0.0037432185 0.0037311176 0.0038218745 0.0035758223 0.0037190167 0.0043341466 0.0036927979 0.0037795212 0.0037069158 0.0037210335 0.0038581772 0.0037190167 0.0036847307 0.003993304 0.0038884296 0.0038057398 0.0037452353 0.00398322 0.003860194 0.0043462478 0.003872295 0.003769437 0.0038440595 0.0037109493 0.0035959906 0.0037956557 0.003702882 0.0038964967 0.003747252 0.0037674203 0.003714983 0.0036827137 0.0037916221 0.003993304 0.0036887643 0.0037875886 0.0037270838 0.00363431 0.0037533026 0.0037089325 0.0038117904 0.0036827137 0.0035496037 0.0036524616 0.003638344 0.0037190167 0.0038783455 0.003872295 0.0039428836 0.0037331344 0.0037674203 0.0038117904 0.0037048988 0.004019523 0.0040477584 0.0037351511 0.003781538 0.0037089325 0.004156667 0.0038057398 0.0036484278 0.003660529 0.003963052 0.003793639 0.0037896053 0.003680697 0.0035576709 0.0036403607 0.0036625457 0.0037412017 0.0038319586 0.0036000242 0.0037291008 0.003985237 0.0037311176 0.0037573362 0.0036645625 0.0037210335 0.0038138072 0.003737168 0.003737168 0.003781538 0.0035717888 0.0037654035 0.003872295 0.0036927979 0.003781538 0.0036988484 0.0036706128 0.0037916221 0.003725067 0.0036968316 0.0036766634 0.0036423774 0.0037008652 0.0037048988 0.0038057398 0.003712966 0.0035838897 0.0038117904 0.0036887643 0.0037714539 0.0039005305 0.003914648 0.0037190167 0.0037391847 0.0038803623 0.0037391847 0.0037311176 0.0039206985 0.004586249 0.003825908 0.0037976727 0.0038238913 0.003759353 0.0038400257 0.0037875886 0.003924732 0.0036423774 0.003781538 0.0036746466 0.003882379 0.0036988484 0.0037996895 0.0037391847 0.0038198577 0.0038561604 0.0038218745 0.0036060747 0.003815824 0.0037573362 0.0036645625 0.0037089325 0.0036847307 0.0036927979 0.0036302765 0.0037795212 0.003612125 0.003680697 0.003803723 0.0037835548 0.003838009 0.0038702781 0.0036786802 0.0037351511 0.0036847307 0.003747252 0.0036625457 0.0037714539 0.004184902 0.004211121 0.003702882 0.003793639 0.0038138072 0.003725067 0.003759353 0.0037613697 0.0037754877 0.0037452353 0.0037976727 0.0037291008 0.003815824 0.0037169997 0.0037916221 0.0037291008 0.0039206985 0.0039368332 0.0038117904 0.003747252 0.0037351511 0.0036282598 0.003906581 0.0042736423 0.022774328 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0019874969 4.043737e-06 1.0109343e-06 7.07654e-06 4.043737e-06 4.043737e-06 2.0218686e-06 4.043737e-06 2.0218686e-06 7.07654e-06 5.0546714e-06 1.2131211e-05 7.07654e-06 6.0656057e-06 6.0656057e-06 1.1120277e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0012939959 5.0546714e-05 5.7623252e-05 7.3798205e-05 6.166699e-05 4.245924e-05 7.278727e-05 6.975447e-05 5.863419e-05 4.448111e-05 5.0546714e-05 3.5382698e-05 2.5273357e-05 4.245924e-05 5.1557647e-05 3.9426435e-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 0.001014978 6.672166e-05 6.874353e-05 6.267792e-05 6.368886e-05 7.582007e-05 5.863419e-05 6.571073e-05 6.571073e-05 8.087474e-05 6.368886e-05 9.199502e-05 5.3579515e-05 8.188568e-05 7.177633e-05 8.3907544e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00064497604 9.098408e-05 9.806062e-05 9.806062e-05 9.806062e-05 9.199502e-05 8.3907544e-05 8.6940345e-05 0.00011322464 9.199502e-05 9.704969e-05 7.885287e-05 0.00010008249 7.986381e-05 0.00010816997 0.00010816997 0.06267893 0.05980485 0.06078141 0.060593378 0.060068704 0.060651 0.061452672 0.05947225 0.061231278 0.059703756 0.059653208 0.059966598 0.061446607 0.05964007 0.06083196 0.060967423 2305.0 5.6338396 12986.0 0.0097797625 0.009625751 0.009086709 0.011242877 0.010164793 0.012320961 0.010549823 0.010395811 0.009548745 0.011627907 0.009163715 0.010164793 0.007931619 0.010857847 0.011396889 0.008162636 0.011088865 0.009394733 0.008932697 0.011704913 0.010087787 0.009548745 0.010703835 0.0097797625 0.0097797625 0.009933775 0.010703835 0.009933775 0.0097797625 0.008932697 0.011319883 0.011396889 0.011781919 0.0110118585 0.010549823 0.009933775 0.012551979 0.009933775 0.010934853 0.010472816 0.011704913 0.0110118585 0.009625751 0.010164793 0.009548745 0.011781919 0.011165871 0.009548745 0.0115509005 0.010703835 0.011088865 0.011242877 0.009702757 0.010549823 0.0103188045 0.010857847 0.009548745 0.010164793 0.010087787 0.008393655 0.00924072 0.009471739 0.010549823 0.011165871 0.011319883 0.010164793 0.011396889 0.0103188045 0.012012937 0.011088865 0.00924072 0.010472816 0.010241799 0.011088865 0.010472816 0.009548745 0.014631141 0.010087787 0.011473895 0.0103188045 0.011319883 0.010010781 0.012782997 0.010780841 0.011473895 0.009625751 0.009163715 0.010241799 0.009856769 0.0103188045 0.011319883 0.009856769 0.010010781 0.009702757 0.008239643 0.010010781 6.5778217 0.0 0.0 0.0 14.0 495830.0 9310208.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1458292100.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.0 1.0 12.0 0.0 5.0 1.0 5.0 1.0 1078272.0 1024.0 4096.0 7.0 4.0 0.0 3.0 4.0 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 -4027904.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 230400.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7.940164 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 3710348.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 170544.0 0.0 0.0 -4027436.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -71144.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1077915.0 0.0 230254.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 8683820.0 230400.0 9076736.0 0.0 0.0 19096.0 4259840.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 36.0 8704100.0 64.0 9069464.0 0.0 0.0 108.0 5054284.0 0.0 0.0 0.0 0.0


Input: 0.048804365 0.005810666 0.004090395 0.00434701 0.0052516963 0.0033247082 0.0033971781 0.0037476476 0.0045543215 0.003130465 0.0032890672 0.0030484907 0.0041082157 0.0033425286 0.003174422 0.0040018866 0.004152767 0.0031803623 0.0029908712 0.0028637517 0.004311963 0.0038218996 0.0031773923 0.002867316 0.003939515 0.003387674 0.003098388 0.0031738281 0.0040755444 0.0032682766 0.0031940248 0.0036686435 0.0043006768 0.0027176237 0.0029665164 0.0035712249 0.008742135 0.0029974054 0.0028518713 0.003207687 0.0034054944 0.0032682766 0.0034827164 0.0035825113 0.0034357891 0.0030496789 0.0032605545 0.0030383924 0.003426285 0.0043951254 0.0036335967 0.0046285735 0.0035646907 0.0036407248 0.003425691 0.0032403579 0.0042210785 0.0038088313 0.0032641187 0.003688246 0.0035629086 0.0035896394 0.0032195675 0.0038480365 0.0035587505 0.0041046515 0.0033021355 0.0047455947 0.006161135 0.0041824677 0.0042656297 0.0035718188 0.0038587288 0.0038224938 0.0035522163 0.0034007423 0.0045816465 0.0038563525 0.0038498184 0.003719135 0.0051857606 0.0041961297 0.004062476 0.00412366 0.0044325483 0.0041189077 0.004607189 0.0040030745 0.0040268353 0.0035593447 0.0036134 0.003760716 0.0043725525 0.003472024 0.0037298272 0.0039115963 0.0031203667 0.003690622 0.0033942081 0.0038308098 0.004014955 0.0048352913 0.0036270623 0.0036799298 0.0040779207 0.0043885913 0.0044384883 0.0034791525 0.0038379382 0.0037725964 0.0038527886 0.0042228606 0.0036953744 0.0037470537 0.004282262 0.0041848435 0.0051703164 0.0046362956 0.0033122338 0.00353499 0.0033870798 0.003385892 0.0035943915 0.0030633411 0.0032712468 0.0034821224 0.003423315 0.0036567631 0.003495785 0.0036306265 0.0028881063 0.004867962 0.00361637 0.0044485866 0.0032165973 0.0028186066 0.003351439 0.005631867 0.0042911726 0.010650115 0.003752994 0.0053865383 0.0037803187 0.003567661 0.006533583 0.0034049004 0.0032641187 0.003685276 0.0032201614 0.0034393533 0.003246298 0.0029374098 0.0031964008 0.0030888838 0.0034732122 0.0030686872 0.0036288444 0.0031821444 0.0035718188 0.0034167806 0.0030918538 0.003389456 0.0029974054 0.0033835159 0.0034167806 0.0035825113 0.0032243195 0.0035646907 0.003313422 0.0035266737 0.0033092638 0.0034702423 0.00324214 0.0036733956 0.003391238 0.0029451319 0.0031518496 0.0032563964 0.003063935 0.0030657172 0.0033395586 0.0034328192 0.0031958066 0.0033223322 0.0036739898 0.0036698317 0.0030354224 0.003138781 0.0031459094 0.003016414 0.003090072 0.0030966061 0.004863804 0.003690028 0.0034940029 0.0037856647 0.0038807073 0.0032967895 0.0040345574 0.0047123297 0.0038118016 0.0035617207 0.00331758 0.003356785 0.0042448393 0.003391832 0.0038575407 0.003726857 0.003203529 0.0031874904 0.003690028 0.003573601 0.0035207334 0.0033282724 0.0035141993 0.0032266956 0.0033413407 0.0030443326 0.0032920374 0.0034862806 0.0034530158 0.003243328 0.003138781 0.0031037342 0.0033864859 0.0030882899 0.0033692594 0.0038135834 0.003419157 0.0032730289 0.0034684602 0.003608054 0.006490814 0.004227019 0.0033223322 0.004121284 0.003283127 0.0033609432 0.0032569903 0.003167888 0.0034868745 0.0035225155 0.0034435114 0.0034815285 0.0034155927 0.0035136053 0.0033627253 0.0033217382 0.0034714302 0.0035860753 0.0034702423 0.0033092638 0.0037137887 0.0038516005 0.004067228 0.011549455 0.004259905 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.9437764e-07 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00056020095 2.3775106e-06 3.566266e-06 5.349399e-06 3.269077e-06 3.566266e-06 2.0803218e-06 2.9718883e-06 4.1606436e-06 2.9718883e-06 4.1606436e-06 2.6746995e-06 2.9718883e-06 4.1606436e-06 2.6746995e-06 1.4859442e-06 0.000538209 1.2481931e-05 5.349399e-06 1.783133e-06 5.0522103e-06 3.269077e-06 1.1293176e-05 1.09959865e-05 1.1887553e-06 2.9718882e-07 5.9437764e-07 2.6746995e-06 3.269077e-06 2.9718882e-07 8.618476e-06 3.269077e-06 0.0010050926 2.1397596e-05 1.45622525e-05 2.793575e-05 1.515663e-05 5.646588e-06 7.429721e-06 7.132532e-06 2.3180728e-05 4.3983946e-05 6.2409654e-06 9.212854e-06 1.2184742e-05 4.4578323e-06 2.0803218e-06 1.1590364e-05 0.00046926117 5.9437764e-07 1.1887553e-06 1.4859442e-06 1.9020084e-05 1.2184742e-05 6.4787164e-05 3.625704e-05 2.9718882e-07 5.9437764e-07 2.9718882e-07 0.0 0.0 2.9718882e-07 8.915665e-07 1.4859442e-06 0.0017751089 1.3670686e-05 1.545382e-05 1.9317275e-05 0.0002020884 2.3180728e-05 1.515663e-05 5.349399e-06 4.1903626e-05 1.9614463e-05 9.510042e-06 1.1887553e-05 8.321287e-06 9.955826e-05 4.4281136e-05 0.00013016872 0.0036931657 0.00013730123 0.00013373497 5.31968e-05 0.00039734147 4.368676e-05 9.539761e-05 6.716468e-05 7.0730945e-05 0.00019109242 2.7044183e-05 2.4963862e-05 2.1397596e-05 6.0032144e-05 4.9927723e-05 0.00041160654 0.0017213178 7.310845e-05 0.00015394381 0.00011560645 0.00015899603 0.0004122009 0.00040536557 0.0002104097 6.4787164e-05 4.5172703e-05 3.3879525e-05 3.595985e-05 3.120483e-05 2.0803218e-05 3.1799205e-05 0.00013730123 0.003212314 0.00010074701 0.00031293984 0.0008755183 0.002913045 0.0013397272 0.002038121 0.001085928 0.00013759843 0.00029689164 0.00025706834 0.00010966268 0.00018187957 5.349399e-05 9.599199e-05 0.0009878557 0.0017397434 0.00013967876 0.00018217675 0.00022556633 0.0005566347 0.0002130844 0.0008018155 0.0004383535 5.557431e-05 0.00018485145 2.7044183e-05 7.370283e-05 4.2795193e-05 5.2305233e-05 3.595985e-05 9.9855446e-05 0.003383792 0.000234482 0.0005462331 0.0012633497 0.0009245545 0.0011257513 0.0027926834 0.0012318477 7.043375e-05 0.00017058638 5.557431e-05 6.627311e-05 6.9245e-05 6.627311e-05 0.0001010442 7.0730945e-05 0.0017587635 0.00021159845 0.00049392786 0.00028292378 0.0006651086 0.00046272302 0.0003488997 0.00025409646 0.0014740566 0.00023715668 0.00010431328 0.00019971089 0.0012511649 0.00019852215 0.0005723857 0.001222932 0.019547299 0.0031243463 0.004466451 0.0021581852 0.005412106 0.005384467 0.0019914624 0.002343334 0.01109822 0.0025882176 0.0011527955 0.0009935022 0.005358909 0.0012791008 0.0039526112 0.005229335 0.01231818 0.0026791573 0.0033516956 0.00217037 0.003917246 0.004346981 0.0017890767 0.0024589405 0.00836111 0.0023252054 0.00075456244 0.0010362974 0.0043009166 0.0013507232 0.0027775269 0.004491712 0.051272206 0.048442375 0.04822721 0.051991105 0.049377926 0.05153165 0.051926617 0.051700156 0.048032552 0.050285242 0.051120937 0.04915771 0.049776454 0.050189547 0.051008005 0.051803283 7725.0 10.632492 82136.0 0.011602708 0.004139476 0.0047603976 0.0051986948 0.008425051 0.0049551963 0.004480374 0.0041273013 0.004943021 0.0055882926 0.005369144 0.006513587 0.005028246 0.0050404207 0.010032142 0.009898217 0.00775543 0.027137918 0.0074875816 0.0065988116 0.007451057 0.009886042 0.012333203 0.010872212 0.014682964 0.008035453 0.0052473946 0.0054421932 0.0050769458 0.0055882926 0.004991721 0.0061239894 0.0061118146 0.023205416 0.009691244 0.011298334 0.009265121 0.00943557 0.011140061 0.009399045 0.0066353367 0.01210188 0.008327652 0.009143372 0.007597156 0.011395734 0.009593844 0.011054836 0.013234148 0.01116441 0.009812993 0.009764293 0.014524691 0.0103973895 0.011821857 0.008753775 0.019601636 0.0071466835 0.008461576 0.0066840365 0.018700691 0.0049064965 0.0052595693 0.014171618 0.0047603976 0.023485439 0.012308854 0.012235804 0.012284503 0.040786013 0.010117366 0.015790883 0.011882731 0.025299503 0.008315477 0.008899873 0.016484855 0.0154256355 0.015316061 0.0260787 0.011079186 0.006878835 0.024045486 0.01978426 0.016764877 0.014220318 0.0071466835 0.01116441 0.0065744617 0.007597156 0.007110159 0.004456024 0.004090776 0.0048821466 0.0052595693 0.0048577967 6.376409 0.0 0.0 0.0 21.0 1683456.0 1699840.0 0.0 0.0 122.0 0.0 1.0 0.0 0.0 0.0 1099506400.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 6.0 0.0 4.0 0.0 4.0 0.0 241664.0 4096.0 4096.0 4.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 28672.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -49152.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -241664.0 0.0 1359872.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4.168932 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.960937 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.4843464 0.0 7.9855084 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 25124.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -62920.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -238594.0 0.0 1358752.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 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 1.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 3.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 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 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 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 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 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 1.0 2.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 80.0 268104.0 2224.0 339968.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 500.0 245760.0 0.0 0.0 0.0 0.0


Input: 0.42216802 0.014971032 0.005806143 0.008100773 0.0050003654 0.004475299 0.0043983916 0.002702938 0.0054768403 0.0016171484 0.0023180523 0.0030228018 0.0023711883 0.0017992785 0.002583732 0.0018003273 0.0014416601 0.0014416601 0.004050212 0.0009298778 0.00275922 0.0016035148 0.0010525797 0.0011448683 0.0011203978 0.0009089031 0.001931419 0.00052017224 0.0012378561 0.00066070264 0.0009120493 0.0013021785 0.017225811 0.00074879633 0.0010120287 0.0010780989 0.0018384313 0.0016199449 0.0012850491 0.0040855194 0.004725597 0.0038411643 0.0018412279 0.000523668 0.0050342744 0.0015108766 0.0031046032 0.00058659207 0.0037688017 0.0031654297 0.002580236 0.0018996075 0.0013137145 0.0009774204 0.0009707784 0.0010634166 0.0020436337 0.0009809162 0.0008484261 0.0019181351 0.00073236617 0.0013546152 0.00057750306 0.00067992945 0.0025816343 0.0042015794 0.0038425627 0.0029885434 0.0028661909 0.002294281 0.0021670347 0.0013294455 0.002617641 0.0023288894 0.0009945497 0.0010078338 0.0030951647 0.0013640538 0.0017478906 0.0017262168 0.0015318512 0.00081486657 0.0018027744 0.0021338249 0.0036534409 0.0009141468 0.0009816154 0.0014493508 0.0015332496 0.0004897589 0.0005191235 0.002698743 0.0011399742 0.0006516136 0.00041669712 0.0063378513 0.0005984777 0.013056044 0.005453768 0.010715618 0.0050209905 0.01704403 0.002443551 0.0023544086 0.0026036578 0.0077008563 0.00057715346 0.0012112882 0.007660655 0.004368328 0.009458535 0.010327586 0.004094958 0.00086975034 0.009809861 0.00867548 0.017875327 0.005364276 0.0022278612 0.0012378561 0.003394753 0.0015007388 0.0006998554 0.00042998107 0.0012640745 0.0005240176 0.00043976927 0.0004991975 0.0038152954 0.0022477873 0.0006785311 0.0005428948 0.00086101086 0.0007281712 0.0004072585 0.0005096849 0.0007557879 0.0004953522 0.00049570174 0.0003852351 0.0005886895 0.00031636818 0.00038453593 0.0011057155 0.0015643621 0.00087918894 0.0004453625 0.00089037546 0.0006610522 0.00044501293 0.00052506634 0.0005886895 0.00051632687 0.0012326124 0.0005495368 0.00052961084 0.000740756 0.0008082246 0.0003915275 0.0004984984 0.0012245721 0.0006565077 0.0004268349 0.0010190202 0.0008770915 0.0004824178 0.0005467402 0.00039047876 0.0009844119 0.00065266236 0.0009942001 0.0004135509 0.0015629637 0.001313365 0.0008176632 0.0005131807 0.0014580903 0.0015472327 0.0017017463 0.00100259 0.0010347512 0.00094456004 0.0006082659 0.0011441691 0.002429568 0.0016283349 0.001313365 0.0012784072 0.0027784468 0.00090750476 0.00072747207 0.0012161823 0.0026127468 0.001635676 0.0017555812 0.0009945497 0.0011794765 0.001172485 0.0010214673 0.0019558896 0.0019121923 0.0006005752 0.000700205 0.0004939539 0.0010927812 0.00055792666 0.0012738627 0.00089037546 0.0010571242 0.00059008785 0.0006208507 0.00048171863 0.000890725 0.0012060445 0.0010609695 0.00081836234 0.0010333529 0.00044606166 0.0008582143 0.0007512434 0.0012588308 0.0005796005 0.0004904581 0.0005380007 0.0010476856 0.00069601 0.0007924936 0.001501438 0.0007201309 0.00051562773 0.0003691545 0.00072607375 0.00100259 0.0016524558 0.0008319959 0.0006159566 0.0011162029 0.00073865853 0.00076277944 0.0018821285 0.0013745411 0.00081521616 0.00093022734 0.00067328743 0.00074984506 0.0011294868 0.00082465477 0.0017468418 0.0011200482 0.0007603324 0.0006949613 0.00084562943 0.0012235234 0.00211285 0.0016573499 0.06536656 0.0007331214 1.7488584e-07 6.9954336e-07 3.4977168e-07 5.246575e-07 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.7488584e-07 0.0 0.0 0.030425413 0.0024011824 2.09863e-06 3.4977168e-07 8.744292e-07 2.7631962e-05 2.7981735e-06 3.847488e-06 3.4977168e-07 1.5739726e-06 1.1192694e-05 1.923744e-06 5.246575e-07 2.5708217e-05 1.923744e-06 1.766347e-05 7.520091e-06 0.0014256693 5.421461e-06 4.022374e-06 4.19726e-06 2.4484016e-06 2.2735157e-06 1.346621e-05 3.322831e-06 2.2735157e-06 4.3546574e-05 2.4484016e-06 2.09863e-06 4.4770775e-05 1.923744e-06 1.5739726e-06 0.00094770634 0.013263866 0.00027002374 3.567671e-05 5.6313238e-05 0.0006559968 0.0003406776 9.2339724e-05 4.9317805e-05 3.0779906e-05 9.828584e-05 2.4134246e-05 5.5263925e-05 9.181506e-05 4.162283e-05 4.1972602e-05 0.0009693922 0.005800963 0.00012574291 3.7075795e-05 3.6726025e-05 0.00037495524 0.00017645981 5.543881e-05 4.582009e-05 4.949269e-05 3.777534e-05 2.1510958e-05 6.838036e-05 3.7075795e-05 3.7950227e-05 4.3021915e-05 0.002722098 0.015218915 0.00037513013 0.00021231141 0.00017576026 0.0009720155 0.0003961164 0.0002799922 0.00015075158 0.00021668355 0.0001544242 7.852374e-05 0.00017103835 0.0001680653 0.00013781004 0.00018975112 0.0043835132 0.024375588 0.0007518342 0.00055473787 0.00060073286 0.0020596306 0.00086708396 0.0007009424 0.00031322052 0.00061787164 0.000260405 0.00019779587 0.0003382292 0.00024099268 0.00027754382 0.00038544837 0.004349061 0.023868244 0.0007785917 0.001312868 0.00048810637 0.0019672906 0.0010842922 0.002437209 0.0012448374 0.0006818799 0.00029835524 0.00029433286 0.00028838674 0.00029415797 0.00030674975 0.00046712006 0.0039440254 0.09871256 0.0027441336 0.012721021 0.0041738255 0.006493861 0.0051956833 0.022228863 0.0121956635 0.0013550154 0.00078681135 0.0009454328 0.0014088802 0.0013562397 0.0009576748 0.00096449535 0.006484767 0.12289962 0.0038996043 0.015282399 0.005561719 0.008460452 0.006381759 0.02990303 0.01603773 0.0019300401 0.0012820881 0.001596183 0.0038676003 0.003999814 0.0016042278 0.001449104 0.006145488 0.098858066 0.00477141 0.008901514 0.0049302066 0.007164898 0.005067492 0.024597343 0.014271733 0.0029069523 0.0023450442 0.0028506392 0.0056321984 0.0046255556 0.0024643163 0.0034539953 0.009164368 0.05837322 0.004607892 0.006167174 0.0042946716 0.004658434 0.0037072299 0.014051902 0.008908684 0.0024225186 0.0019174482 0.0025145086 0.004751473 0.0038583314 0.0021327327 0.0034737573 0.005965181 0.013587056 0.0013273834 0.0016542451 0.0013336794 0.0012908323 0.0010062931 0.0030110094 0.0025195803 0.0009081821 0.000994226 0.0010867405 0.0016871237 0.0015466904 0.0011175205 0.001200941 0.0022614487 0.0028487153 0.00031689313 0.0003677849 0.00035484336 0.0002703735 0.00027527031 0.0004667703 0.00046712006 0.00021895707 0.00023906893 0.00028576347 0.0004211251 0.00054022233 0.00042864517 0.00038912098 0.00070531457 0.0014632698 0.00028961094 0.00026984885 0.00028576347 0.00027457075 0.0002715977 0.00036341275 0.00031584382 0.00025131094 0.00025865616 0.00028716255 0.00035082098 0.0003483726 0.00038929586 0.0003184671 0.0007089872 0.0047728093 0.0027339903 0.0025318223 0.0025746692 0.0024756838 0.0022929283 0.002384918 0.0023670797 0.0027273446 0.002541091 0.002692892 0.00268065 0.0026757533 0.0027840077 0.0025800907 0.0028805446 12619.0 10.536097 132955.0 0.01878079 0.00036854573 0.004008875 0.012711068 0.0014365762 0.0003911098 0.013922004 0.0014215336 0.0010755518 0.0012034146 0.00030085366 0.0001955549 0.009371592 0.0042345156 0.010575007 0.0006618781 0.004219473 0.013553458 0.016780114 0.011161671 0.0020307624 0.0021435823 0.0010981159 0.0021435823 0.0011131585 0.00055657927 0.0010379452 0.00013538415 0.0003610244 0.0012034146 0.0003911098 0.0012711068 0.004294686 0.0038434057 0.02499342 0.011334662 0.0065661315 0.0058440827 0.004866308 0.0009777744 0.012207137 0.0068594636 0.0007521342 0.00049640855 0.020480614 0.009687488 0.002730247 0.008055357 0.011214321 0.00029333233 0.0033620398 0.014613967 0.02527923 0.0011507653 0.0027377685 0.0012259787 0.005610921 0.00045880186 0.0004136738 0.00026324697 0.00094768906 0.00020307623 0.00039863112 0.02248129 0.00039863112 0.053679816 0.027866572 0.022955135 0.019066602 0.0924749 0.024850514 0.0131021775 0.00891279 0.030311007 0.0016998233 0.005693656 0.034733556 0.020977022 0.034665864 0.040434733 0.014275507 0.0036478508 0.038253546 0.031717498 0.06585687 0.024316497 0.0047158813 0.0028280246 0.022556504 0.0030235795 0.0004813659 0.00042119515 0.00027828963 0.00045880186 0.00040615245 0.00043623784 5.469338 20.0 0.0 0.0 2.0 2860591.0 9981952.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1533637000.0 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 1.0 0.0 6.0 0.0 4.0 0.0 4.0 0.0 9760768.0 4096.0 4096.0 3.0 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 -4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -9760768.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.0006385 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -209192.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -9759368.0 0.0 4020.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 40.0 9759300.0 4020.0 9977856.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 32.0 560.0 992.0 4096.0 0.0 0.0 0.0 0.0