Input: 0.056651562 0.0082959505 0.0061627063 0.005656565 0.00574972 0.0049610096 0.0041950704 0.005416433 0.005048989 0.005629654 0.0037489624 0.0044703945 0.0049589393 0.0031662274 0.004323417 0.004644283 0.0050417436 0.0037696634 0.004929958 0.0041619483 0.004352398 0.003174508 0.0041060555 0.0038431522 0.005064515 0.0033432215 0.003154842 0.0029323054 0.004154703 0.0034363763 0.0037924347 0.0037913995 0.0061678817 0.0038286615 0.0034850237 0.0030358108 0.004898906 0.004157808 0.003841082 0.003718946 0.0047229473 0.0038897295 0.003334941 0.0031020541 0.0043741344 0.0037344715 0.0037272263 0.0035874941 0.005514763 0.0039404472 0.0031051594 0.0029074643 0.0036754736 0.0030678974 0.0026859627 0.002865027 0.004168159 0.0033090648 0.0035243558 0.0033577122 0.0040004803 0.0032138398 0.0035067599 0.003449832 0.0065963934 0.0039445874 0.0036175107 0.0032272956 0.0041609136 0.00321798 0.0035512673 0.0030647924 0.004994131 0.0037696634 0.0036992799 0.003588529 0.004126757 0.0031279305 0.0035647228 0.0034726032 0.0051555997 0.0036299312 0.0036516674 0.0033370112 0.0039311317 0.0033690978 0.0033659928 0.0035419518 0.0046484233 0.0036506322 0.0038079603 0.0035119352 0.0041215816 0.0033835885 0.003685824 0.003784154 0.005903943 0.0036206157 0.0033411514 0.002959217 0.0040056556 0.0030534067 0.0032614523 0.0030306354 0.0049775704 0.0031589821 0.003195209 0.0030451263 0.003568863 0.0028381157 0.003082388 0.0032003843 0.0045107612 0.003295609 0.0032241903 0.0031465616 0.0038886946 0.0033225205 0.0032914688 0.0036216509 0.0046297926 0.0032914688 0.0034819187 0.0031807183 0.004041882 0.0031941738 0.003468463 0.0033473617 0.008642693 0.0046039163 0.004009796 0.0035222857 0.004362749 0.0034343062 0.00302132 0.003389799 0.004545953 0.003842117 0.002959217 0.0031910688 0.0037282612 0.002788433 0.0028412207 0.002981988 0.005227018 0.0032045245 0.0034974446 0.0030347756 0.003663053 0.0031786482 0.0032997492 0.0032645576 0.0045469883 0.0028360456 0.0030430562 0.0027056288 0.0035191805 0.0032283308 0.002984058 0.0031610522 0.0050200075 0.0034073947 0.0032800834 0.0028018889 0.0037779438 0.0030078643 0.0030534067 0.0031869286 0.004136072 0.0030037242 0.0031310357 0.0030233902 0.0036516674 0.0028370805 0.0029178148 0.0030244251 0.004661879 0.0031124046 0.003840047 0.0028536415 0.003567828 0.0031486317 0.0029954438 0.0031217202 0.0042519984 0.0031507018 0.003332871 0.0031817532 0.0036516674 0.0031858934 0.003330801 0.0033463268 0.00671853 0.0040615485 0.003722051 0.0033401165 0.004116406 0.003257312 0.0033007844 0.0032272956 0.0043254867 0.0033380464 0.0031155099 0.003094809 0.0036495973 0.0029933737 0.003077213 0.0028018889 0.0042437175 0.003275943 0.0030896335 0.0029913036 0.0037179107 0.0030347756 0.0029385157 0.0029530064 0.0039828843 0.0031134398 0.00272633 0.002633175 0.0035316013 0.0029478313 0.0035761085 0.0028805528 0.0049672197 0.003235576 0.0033991144 0.0029757777 0.0038100304 0.003079283 0.003195209 0.0029095344 0.0044383076 0.005445414 0.0034570773 0.0031279305 0.00380175 0.0030854933 0.0032593822 0.0031910688 0.004613232 0.0033194153 0.0034167103 0.003039951 0.0037355067 0.0030896335 0.0033183803 0.0032562772 0.004352398 0.003038916 0.003195209 0.0028681322 0.004016006 0.0030917036 0.004217841 0.0045128316 0.011667952 0.0 0.0 0.0 0.0 0.0 1.0366906e-06 3.1100717e-06 0.0 1.0366906e-06 2.0733812e-06 0.0 0.0 1.0366906e-06 0.0 1.0366906e-06 0.0020516105 4.1467624e-06 2.0733812e-06 6.2201434e-06 5.1834527e-06 1.0366906e-06 3.1100717e-05 1.1403596e-05 0.0 0.0 1.0366905e-05 0.0 0.0 0.0 0.0 0.0 0.0009501269 2.5917263e-06 6.2201434e-06 1.29586315e-05 9.330215e-06 5.701798e-06 5.1834526e-05 2.2807191e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0028617843 3.5765825e-05 2.7990645e-05 1.0885251e-05 2.2288847e-05 3.4729135e-05 4.250431e-05 1.8142086e-05 3.5765825e-05 5.1834527e-06 9.848561e-06 1.6068703e-05 2.643561e-05 7.2568337e-06 1.7105394e-05 1.29586315e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00087963196 1.1921941e-05 1.2440287e-05 8.293525e-06 1.3476977e-05 1.6068703e-05 1.3476977e-05 1.1403596e-05 1.0885251e-05 1.3476977e-05 6.7384885e-06 1.3476977e-05 1.1921941e-05 1.0366905e-05 1.8142086e-05 9.848561e-06 0.0016244941 6.5311506e-05 5.701798e-05 4.8724454e-05 4.7687765e-05 3.058237e-05 2.2807191e-05 0.0005546294 3.0064026e-05 1.7105394e-05 1.9697121e-05 0.0002773147 2.073381e-05 0.00027420465 1.658705e-05 7.775179e-05 0.0007427888 3.732086e-05 3.421079e-05 2.073381e-05 2.2288847e-05 1.7105394e-05 1.3995323e-05 1.1921941e-05 1.658705e-05 2.2807191e-05 1.9178775e-05 1.7623739e-05 6.7384885e-06 4.6651076e-06 2.2807191e-05 5.0797837e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0013181521 3.732086e-05 4.3022657e-05 6.012805e-05 4.250431e-05 3.1619064e-05 9.174711e-05 5.8573016e-05 3.9394243e-05 5.7536326e-05 4.4059347e-05 4.3022657e-05 7.827014e-05 7.775179e-06 8.8118695e-06 0.00016120537 0.0011688686 6.945827e-05 4.613273e-05 4.613273e-05 3.835755e-05 3.7839207e-05 4.7687765e-05 6.012805e-05 5.2352872e-05 5.0797837e-05 6.842158e-05 5.1834526e-05 7.516007e-05 1.4513667e-05 4.4059347e-05 0.00025139746 0.0045775073 0.00029390177 0.0002726496 0.0002643561 0.00030945212 0.00023895717 0.0003296676 0.0003125622 0.00032655752 0.00035247477 0.00032655752 0.00035247477 0.00052145537 0.00015135683 0.0001866043 0.0007376053 0.0031966353 0.0002736863 0.00030064027 0.00024880574 0.00028871832 0.00028249816 0.00034314458 0.0009335398 0.0004074194 0.0003514381 0.00032448414 0.00066918373 0.00046288234 0.00043541004 0.00017468235 0.0008609715 0.0022511736 0.00018193919 0.00029027337 0.0002451773 0.00029856688 0.00029493845 0.00028560826 0.0004027543 0.0004431852 0.00032292912 0.000246214 0.0003172273 0.00046080895 0.00016172373 0.00018971437 0.0010387639 0.0003446996 5.4426255e-05 4.3022657e-05 4.509604e-05 5.4426255e-05 4.820611e-05 5.338956e-05 5.1834526e-05 7.0494956e-05 4.820611e-05 3.835755e-05 4.92428e-05 4.4577693e-05 2.643561e-05 4.1985968e-05 4.716942e-05 0.09917293 0.062003426 0.062478747 0.055303294 0.060581084 0.059563056 0.05491298 0.054498304 0.060456164 0.053172894 0.052160047 0.05294586 0.056459203 0.05055888 0.056684166 0.05384726 4028.0 5.7023335 22969.0 0.017153556 0.010448866 0.009403979 0.008620314 0.013452915 0.012408028 0.011798511 0.011580827 0.012582176 0.009795812 0.008446166 0.008620314 0.013888285 0.010579477 0.011842048 0.0100134965 0.016761722 0.011842048 0.008707388 0.0075318906 0.009795812 0.00853324 0.007836649 0.00840263 0.0102747185 0.00853324 0.009621664 0.008837999 0.011537289 0.00896861 0.0096652005 0.009186295 0.017980756 0.010884236 0.010361792 0.009142757 0.010884236 0.008837999 0.01066655 0.008272019 0.01423658 0.011580827 0.009708738 0.008925073 0.011406679 0.009316905 0.0116679 0.009578127 0.014759023 0.009578127 0.0099264225 0.00896861 0.012059732 0.009316905 0.00953459 0.009795812 0.013714137 0.009273369 0.010579477 0.009621664 0.011188994 0.0098393485 0.010361792 0.01066655 0.017893683 0.01097131 0.009708738 0.008184945 0.013191693 0.008228482 0.009403979 0.008359092 0.015412077 0.009273369 0.008881536 0.008663851 0.011319605 0.008097871 0.0099264225 0.007923723 0.013148156 0.008054334 0.008707388 0.008794462 0.011406679 0.009447516 0.008184945 0.007836649 0.010884236 0.008881536 0.012016196 0.008663851 0.011450215 0.009012147 0.0100134965 0.008750925 6.5547495 0.0 0.0 0.0 14.0 966134.0 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: 0.34719965 0.029542036 0.029731017 0.01249765 0.01746576 0.010597133 0.032227073 0.0121723 0.010215089 0.0048460383 0.016121965 0.004799049 0.005696955 0.0047122207 0.0032228606 0.0016492261 0.003045118 0.014815965 0.0070269597 0.010580789 0.005824133 0.005468648 0.0039113574 0.0067572813 0.0045375424 0.0023198468 0.0028173216 0.0046907687 0.0036718138 0.0025037182 0.0021993087 0.0026160842 0.014557524 0.0010848425 0.0042484556 0.0011742244 0.0009060784 0.0014571825 0.0013591176 0.00094132044 0.0165178 0.0009699227 0.0063818768 0.002872483 0.0012728 0.001337666 0.0019117539 0.0007314004 0.0037096096 0.0013167249 0.0009045461 0.0007789005 0.00086521805 0.00072373904 0.0006195452 0.0006394646 0.0017559738 0.002504229 0.0015981507 0.0005337384 0.0010470466 0.0007789005 0.0012344935 0.0011604341 0.0020721308 0.0060294564 0.0012620742 0.0019950068 0.0035037755 0.0015429892 0.0015532043 0.0012406226 0.00061392685 0.0016093872 0.0011216168 0.0007441692 0.0013136604 0.0016650595 0.000888202 0.0013014023 0.0030517578 0.0010322348 0.0013111066 0.0019429099 0.0019776411 0.0019898994 0.001580785 0.00072629284 0.0015133654 0.0010199767 0.0009826915 0.00072271755 0.0005786848 0.0004990071 0.00038357658 0.003544125 0.00084172335 0.00873339 0.0012344935 0.0036411684 0.004124342 0.015256235 0.0013815907 0.0034858992 0.0023673468 0.008532153 0.0005485503 0.0022968627 0.005741391 0.0034266515 0.009404521 0.01450134 0.0069529004 0.00076102413 0.010361165 0.00869253 0.015707742 0.0040078904 0.0018009202 0.0013300045 0.0016441186 0.002287669 0.0008269114 0.005112652 0.0025052505 0.0028449022 0.00095357856 0.0005240341 0.0025251699 0.0025655197 0.0033209254 0.0016528014 0.00087645464 0.0006874755 0.0019776411 0.0006292495 0.0009791163 0.00058379234 0.0004438456 0.000289087 0.000946428 0.00066500227 0.00052556634 0.00072271755 0.00039072716 0.0025251699 0.00041268958 0.00039328093 0.0006287387 0.00034527 0.00080903503 0.00040094223 0.0006695991 0.0003902164 0.0004203509 0.0015067256 0.0011032296 0.00041217884 0.0002926623 0.00027172136 0.00079524465 0.00038255507 0.000632314 0.000316157 0.0004795984 0.0009826915 0.00035446358 0.00035854962 0.0003611034 0.0004494639 0.00032943662 0.00037489377 0.00052301254 0.0003978777 0.00029419456 0.00039889922 0.00038357658 0.0004607005 0.00038306584 0.00026763533 0.0004877705 0.00032381833 0.00034169471 0.00038510884 0.00034527 0.00062414195 0.00046223277 0.00039634545 0.00049594254 0.0005378244 0.00040094223 0.00050258235 0.0007140347 0.0006333355 0.00043311977 0.0003590604 0.00047193712 0.00042188316 0.0029133433 0.0003028774 0.00038664113 0.00038715187 0.00034271623 0.00044129184 0.00040196374 0.0006404861 0.0003386302 0.0003498668 0.0015695484 0.000547018 0.00036518942 0.0003130925 0.0004080928 0.0004147326 0.0004080928 0.00037591526 0.00047704464 0.00047857693 0.00040860355 0.00040553903 0.00048572748 0.008277797 0.00026201704 0.00026865685 0.0006226097 0.0005710235 0.00039379168 0.00038000132 0.0003968562 0.0011425577 0.0024117825 0.00035854962 0.0005975827 0.00031564623 0.00026865685 0.0003958347 0.00053220615 0.0006558087 0.00031768926 0.00046785106 0.00048470596 0.00048623822 0.00029879136 0.00034731303 0.00042801222 0.00049492106 0.00075693807 0.00048470596 0.0035415713 0.0003151355 0.00038306584 0.00038613036 0.0004428241 0.000603201 0.0030481825 0.0015511613 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.013900813 4.8802573e-05 2.989477e-05 1.9163313e-05 2.1718422e-05 9.198391e-06 6.0556074e-05 2.3506998e-05 7.665326e-06 5.7489942e-05 3.832663e-06 1.2520032e-05 0.001966156 5.110217e-07 4.6502977e-05 0.002106687 0.009289097 0.00012392277 0.00016557104 3.7815607e-05 0.0001269889 2.8617216e-05 8.074143e-05 6.898793e-05 4.0370716e-05 7.30761e-05 1.22645215e-05 0.00014334159 0.0005621239 6.643282e-06 0.00030661302 0.0009694082 0.021395458 0.0014237065 0.0022334205 0.000447144 0.0005835868 0.0005099997 0.002518826 0.0015087916 0.00021079645 0.00023583652 0.00028693868 0.0003551601 0.00027876234 0.00058537535 0.0005352952 0.0003812222 0.15950878 0.0153641235 0.019481426 0.0034910447 0.009824904 0.007838307 0.053208604 0.028292207 0.0013828247 0.0014679099 0.000753757 0.0006076048 0.0007136418 0.004241225 0.00077700854 0.0012622237 0.15633866 0.025797144 0.01669278 0.0061912835 0.010506862 0.006465958 0.018767018 0.01637007 0.0055634934 0.0022484956 0.0019725438 0.0014610111 0.001847599 0.0049768407 0.0026371276 0.0031678237 0.12008755 0.023918627 0.012094862 0.006027501 0.004577477 0.004515643 0.00643223 0.012182247 0.007246288 0.0032025732 0.002601867 0.0025275133 0.002238786 0.0034378986 0.0030520773 0.0035439357 0.05633529 0.014239364 0.005739796 0.003012984 0.0023059854 0.002966481 0.0037585648 0.0070196497 0.0046617957 0.0034028937 0.00160052 0.0014380151 0.0016587765 0.0019937512 0.002196116 0.002269703 0.0049648313 0.0016373136 0.0010900093 0.0008074143 0.0004254256 0.0004614526 0.00055956875 0.0007555456 0.0002353255 0.00025321127 0.00016531552 0.00020568624 0.00023966919 0.00019469927 0.00025218923 0.00031121224 0.0007340827 0.00026675334 0.00020619726 0.00014385261 8.8917775e-05 6.975447e-05 0.00014870732 0.0001129358 5.110217e-05 3.602703e-05 3.628254e-05 5.008013e-05 3.653805e-05 3.4238456e-05 3.0405792e-05 4.726951e-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 8448.0 15.299834 129253.0 0.0019883483 2.3210294e-05 2.3210294e-05 0.0001083147 0.0008433073 3.0947056e-05 2.3210294e-05 8.510441e-05 0.00027078675 3.8683822e-05 5.415735e-05 0.0 0.00027078675 0.000131525 0.0019032441 0.00017020882 0.00076593965 0.00236745 0.0017407719 0.0013229867 0.0011682514 0.00057252054 0.0008742544 0.00048741614 0.000557047 0.0002785235 3.0947056e-05 4.6420588e-05 0.0028007086 0.00017794558 0.0028007086 3.0947056e-05 7.736764e-06 0.009075224 0.006491145 0.013833335 0.009260907 0.007643923 0.004665269 0.0073344526 0.0013307235 0.007055929 0.0016788779 0.0011063573 0.0073267156 0.006955351 0.003249441 0.0073344526 0.0076207127 0.00081236026 0.007520135 0.013755967 0.012765661 0.005756153 0.003125653 0.0034583337 0.00075046613 0.0007349926 0.00057252054 8.510441e-05 3.0947056e-05 1.5473528e-05 3.8683822e-05 0.041523214 0.00038683822 0.060578864 0.0073344526 0.02644426 0.02240567 0.12607057 0.008278338 0.03032038 0.013786914 0.0505907 0.001183725 0.008835385 0.03626995 0.017825505 0.059410613 0.05262547 0.018475393 0.0005493103 0.050490122 0.041832685 0.09447363 0.024107758 0.0065839863 0.0057793627 0.0046730055 0.014429065 0.0012688293 2.3210294e-05 0.0 5.415735e-05 0.0 7.736764e-06 4.9381976 0.0 3.0 0.0 1.0 1957888.0 1982464.0 0.0 0.0 1.0 1.0 1.0 0.0 0.0 0.0 1541126100.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 1.0 -1.0 -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 -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 1955840.0 512.0 4096.0 3.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -512.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1955840.0 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 -1.5849625 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.365942 0.0 3.04173 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -12.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1955452.0 0.0 788.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 79.0 8216.0 788.0 1966080.0 0.0 0.0 0.0 0.0 12.0 1974272.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 8.0 8208.0 0.0 0.0 72.0 8292.0


Input: 0.1615091 0.010952731 0.002821158 0.002122419 0.0030307795 0.0044500926 0.0023975475 0.001152919 0.0030613493 0.02231597 0.0139791425 0.0011136149 0.00096950005 0.015507634 0.00062449777 0.003803759 0.0024630541 0.0010088041 0.00078608113 0.0009258289 0.0013494393 0.0033277434 0.0005546239 0.00048475002 0.0012358942 0.00066816894 0.0004541802 0.00033626804 0.00033626804 0.00048475002 0.0006288649 0.0004498131 0.02910247 0.0019040632 0.012948503 0.0018341893 0.008961325 0.0009913356 0.002375712 0.0006725361 0.004568005 0.0037338852 0.0004541802 0.00069437164 0.0018123537 0.007035426 0.0043365476 0.0046291444 0.0051925024 0.0019652029 0.002231597 0.003091919 0.0013232365 0.0002751284 0.00066816894 0.00039740768 0.00171191 0.00091272756 0.0051837685 0.010009433 0.0073061874 0.017215177 0.0068258042 0.0006201307 0.0018123537 0.0048606014 0.0006987388 0.0027032457 0.0050745904 0.0033976173 0.00063759915 0.0005764595 0.024167627 0.0026377388 0.0002707613 0.001340705 0.004218635 0.001934633 0.0020307095 0.0009258289 0.0020787478 0.0005677253 0.00091272756 0.0017031757 0.0037338852 0.0011398176 0.00039304057 0.0010000699 0.0006550676 0.0002707613 0.0003231667 0.0005371554 0.012184258 0.00048475002 0.0003537365 0.0026639416 0.0011005136 0.017188974 0.0072013764 0.013839395 0.012376411 0.030058868 0.011358872 0.009930825 0.0059480136 0.023425218 0.003310275 0.0041138246 0.016250044 0.011166719 0.01857335 0.019817978 0.010005066 0.0015197569 0.019551584 0.019979563 0.03517713 0.009105439 0.0035198967 0.003458757 0.0043845857 0.0029216015 0.00085158786 0.02005817 0.0010131713 0.020263424 0.00081228383 0.00027949552 0.0017774168 0.0011048807 0.0010393739 0.004834399 0.0013887433 0.0063672573 0.0007031059 0.00039740768 0.00091272756 0.006886944 0.00031443246 0.013961674 0.00058519375 0.005327883 0.0005415226 0.000296964 0.0009607658 0.00020525452 0.00024455859 0.00025329282 0.0007336757 0.0005808266 0.0008603221 0.000296964 0.00047164867 0.00038867345 0.00023582434 0.00026202705 0.000633232 0.00040614192 0.0003231667 0.00028822976 0.0006856374 0.00041050903 0.00020962163 0.00021835587 0.00042361039 0.00028386264 0.00033626804 0.0003493694 0.0008603221 0.0003537365 0.0002707613 0.00029259687 0.00055899104 0.00026202705 0.00049348426 0.00034500228 0.0007336757 0.00025765994 0.00026202705 0.0004978514 0.00063759915 0.00026202705 0.0008821577 0.0005022185 0.0009345631 0.0009083604 0.0011965901 0.00036247075 0.0008341194 0.00066816894 0.00034500228 0.00085158786 0.0056990883 0.0009476645 0.00082101807 0.0018429236 0.0016988086 0.00046291444 0.00078608113 0.0013450722 0.0014673515 0.001187856 0.00038867345 0.0007511442 0.0073280227 0.0007642455 0.0006812703 0.000707473 0.0010655767 0.00041487615 0.001152919 0.0004760158 0.00039740768 0.00034500228 0.0004541802 0.00046728156 0.00074240996 0.00058956083 0.00037120498 0.0005502568 0.00029259687 0.0002489257 0.00024455859 0.00026202705 0.00094329735 0.00035810363 0.0006201307 0.001043741 0.0006725361 0.0010000699 0.00082101807 0.00091709464 0.0038517974 0.0013188694 0.0002751284 0.0012140586 0.001078678 0.00028822976 0.00020525452 0.00031443246 0.00064196624 0.00031006534 0.00042361039 0.0002008874 0.00027949552 0.0001746847 0.0004978514 0.0005371554 0.00087779056 0.0007380428 0.0005153199 0.00026202705 0.00031006534 0.00034500228 0.0005284212 0.012262866 0.004416526 0.0 0.0 0.0 1.3196791e-05 0.0 6.158502e-05 1.3196791e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.012842677 0.0 2.1994651e-06 0.0 5.938556e-05 1.9795185e-05 0.00037390908 0.00021554758 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.016262844 0.0 1.0997325e-05 0.0 0.00012536951 7.918074e-05 0.00095456786 0.0005850577 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.003930444 4.3989303e-06 1.0997325e-05 2.1994651e-06 2.6393582e-05 2.4194116e-05 0.0002397417 0.00017155828 1.7595721e-05 2.1994651e-06 0.0 6.5983954e-06 1.3196791e-05 0.0 0.0 5.4986627e-05 0.018838419 0.0007522171 0.00011437218 0.00012317004 9.237754e-05 4.8388232e-05 0.0005608636 0.00055646466 0.00026613526 7.6981276e-05 0.00016495989 0.0001319679 0.00018695454 6.3784486e-05 7.6981276e-05 0.00046848608 0.01748135 0.0005982545 0.00018475507 0.00025073902 0.00031892245 0.00013416736 0.001324078 0.0012097058 0.00014736416 0.00015836148 7.918074e-05 0.000109973254 5.938556e-05 0.00012756897 0.0002331433 0.00010557433 0.009701841 0.000283731 3.959037e-05 3.7390906e-05 0.0001759572 4.8388232e-05 0.001007355 0.001040347 0.00034751548 0.00016935881 0.00011217272 0.00014296523 2.6393582e-05 1.7595721e-05 0.00028812993 7.478181e-05 0.010258305 0.00022434544 0.004658467 0.0053798915 0.00037610854 0.00034311655 0.018400725 0.013707067 0.0001385663 5.718609e-05 5.4986627e-05 7.258235e-05 8.577914e-05 8.79786e-05 9.0178066e-05 0.00011877112 0.018768035 0.0005124754 0.019346494 0.02072556 0.0016957875 0.002766927 0.06726404 0.051394902 0.0004025021 0.0004025021 0.0002331433 0.00040690103 2.4194116e-05 3.7390906e-05 0.0006840337 1.9795185e-05 0.049932256 0.002043303 0.034102704 0.019249719 0.0041877814 0.00966225 0.07994176 0.04856419 0.0006510417 0.0005168743 0.00033651816 0.0008225999 0.00057406037 0.00043109516 0.0008951823 0.0003409171 0.015136719 0.0008753871 0.0055492506 0.0047266507 0.003334389 0.0030770516 0.01385663 0.0114504155 0.0011393229 0.00050807645 0.00067523576 0.0006356454 0.0005432679 0.0003409171 0.0008753871 0.00033871763 0.003569732 1.5396256e-05 0.0017595721 0.0018277555 0.0013768652 0.0011657164 0.0055140588 0.005080764 0.0003849064 0.00032991977 0.00026613526 0.0004970791 2.1994651e-06 0.0 0.0007324219 0.0 0.015013549 0.0020037128 0.005144549 0.0027845227 0.008712081 0.0024743981 0.007519971 0.0068557328 0.0060881195 0.0009017807 0.0006488422 0.0017133834 0.0036863035 0.00062464806 0.001821157 0.001574817 0.035138655 0.0045243 0.008087433 0.0042383694 0.022313572 0.00419438 0.0031738281 0.005802189 0.023749825 0.0021532762 0.0021972656 0.0027031426 0.0124093825 0.0037610852 0.005168743 0.009033203 0.016968872 0.0030638548 0.006800746 0.0051423493 0.014347111 0.004596882 0.0058615743 0.0065851985 0.01291086 0.0015990111 0.0012998838 0.0026415575 0.009116783 0.0023050394 0.0038336676 0.006530212 0.0007544165 0.00029692778 0.00038270693 0.00045089034 0.00024853955 0.00029252886 0.00050807645 0.00034311655 0.0001957524 0.0001319679 0.00016495989 0.00014736416 0.00017155828 0.00014736416 0.00011437218 0.00015396255 3527.0 31.398922 110744.0 0.05255364 0.0024109657 0.025807267 0.0032868597 0.00068626745 0.001363505 0.0044607385 0.0008849238 0.0071696886 0.0070613306 0.00013544752 0.00039731272 0.003006935 0.013373185 0.008298418 0.009038865 0.005029618 0.003160442 0.0025012642 0.0022574586 0.00076753594 0.00024380554 0.00097522215 0.00022574587 0.0012370873 0.00066820777 0.010158564 0.019025862 0.013743408 0.035180237 0.013391244 0.00076753594 0.00014447735 0.0046593947 0.00064111827 0.0039550676 0.0036209638 0.0042169327 0.00071335695 0.00034313372 0.0010474608 0.002131041 0.000108358014 0.0008668641 0.001805967 0.0025283536 0.003548725 0.0013273857 0.0020317128 0.00024380554 0.0010655205 0.0023296974 0.005399841 0.0010655205 0.0003070144 0.0005417901 0.00018059669 0.00025283537 0.00013544752 0.00027089505 0.020461606 0.0005237304 0.00024380554 0.0032236509 0.00011738785 0.03381673 0.014456765 0.026981145 0.021066604 0.059894893 0.021364588 0.019766308 0.010980279 0.04747887 0.006438272 0.008072672 0.031207109 0.022159213 0.036832694 0.04035433 0.017734595 0.0026908908 0.03923463 0.039523587 0.0639222 0.012271545 0.0067994655 0.006654988 0.007142599 0.005038648 0.0011287293 0.039957017 0.00029798454 0.037275158 0.00011738785 1.8059669e-05 5.420555 0.0 22.0 0.0 1.0 228984.0 237568.0 0.0 2.0 4.0 1.0 1.0 1.0 0.0 0.0 1381507700.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 8.0 0.0 4.0 0.0 5.0 2.0 61440.0 1024.0 4096.0 6.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -1024.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 7168.0 0.0 0.0 0.0 0.0 3584.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -12288.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -61440.0 0.0 135680.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.4829037 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.344484 0.0 0.0 0.0 0.0 4.992618 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0433295 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.2118573 0.0 5.651319 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -624.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 6952.0 0.0 0.0 0.0 0.0 3372.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -13536.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -61300.0 0.0 135464.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 104.0 72384.0 60.0 72152.0 135464.0 94208.0 3372.0 90112.0 6776.0 222208.0 112.0 233472.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 48.0 65536.0 0.0 0.0 0.0 0.0


Input: 0.037665512 0.004288949 0.003988113 0.00378078 0.0064029335 0.0033376561 0.003565316 0.0043174066 0.0041913805 0.0036303618 0.0037197995 0.0033620482 0.004057224 0.0033498523 0.0033295255 0.007866461 0.003931198 0.003805172 0.0033417216 0.0035368586 0.0034027018 0.003357983 0.0035693813 0.0034027018 0.0034352248 0.003622231 0.0031669112 0.00332546 0.0036506886 0.0035612506 0.0033457868 0.003496205 0.005890699 0.003382375 0.0034677475 0.00332546 0.00962676 0.0033620482 0.0033783098 0.0032888718 0.0036628845 0.0036303618 0.003268545 0.0032970025 0.0037441917 0.0033905057 0.0033295255 0.0032848066 0.004138531 0.004467825 0.004106008 0.0042808186 0.0046548313 0.0039230674 0.003898675 0.0057606073 0.004528805 0.004118204 0.0031140617 0.0034474207 0.0035246625 0.0033335907 0.0034474207 0.0037563876 0.0036384924 0.0034514861 0.0032726105 0.0033945711 0.004309276 0.0041588577 0.0038661524 0.0035978388 0.0033945711 0.003528728 0.0033620482 0.0034799436 0.0036019043 0.00332546 0.0034352248 0.0033783098 0.0036994726 0.0034596168 0.0034555513 0.0034636823 0.0034311593 0.0036141002 0.00343929 0.00343929 0.003370179 0.0032929373 0.0036628845 0.0034474207 0.0033864405 0.003370179 0.0035124663 0.009208028 0.0048743603 0.0041995114 0.003886479 0.0041873152 0.005585797 0.004195446 0.007716043 0.0032563491 0.0042239036 0.003679146 0.0034758782 0.0032929373 0.003988113 0.0034027018 0.0034555513 0.0037360608 0.0034555513 0.0034555513 0.0036425577 0.0036832113 0.004561328 0.0037563876 0.003508401 0.0034270938 0.003508401 0.003520597 0.0035815774 0.0032156955 0.0033417216 0.0034921397 0.00355312 0.0032319569 0.0037889106 0.003496205 0.003679146 0.0042360993 0.0037563876 0.003723865 0.0035612506 0.003703538 0.004195446 0.005415052 0.003520597 0.003951525 0.0032482184 0.0056589735 0.0034636823 0.003679146 0.0034027018 0.003301068 0.0034027018 0.0034270938 0.003370179 0.0034067673 0.0032604143 0.0031384537 0.0036588192 0.003508401 0.0035246625 0.0032848066 0.005939483 0.0032848066 0.0033742443 0.0034636823 0.0033091987 0.0032726105 0.0031181271 0.0036710151 0.0033417216 0.0032319569 0.0032278916 0.0034230286 0.0030937348 0.0032563491 0.0033417216 0.0035124663 0.0035124663 0.0032360223 0.0034514861 0.0034555513 0.0034474207 0.003268545 0.0033498523 0.0033905057 0.0032726105 0.0034514861 0.003610035 0.0038133026 0.004020636 0.0034311593 0.0040409626 0.003691342 0.003382375 0.003496205 0.0039027405 0.0031425192 0.0044434327 0.0041873152 0.0035165318 0.0036262963 0.0039352635 0.003585643 0.0044068443 0.0040409626 0.0037523224 0.0036872767 0.0033091987 0.0033620482 0.0033376561 0.003414898 0.0033376561 0.0035165318 0.0038254987 0.0032522837 0.0040328316 0.0036262963 0.00343929 0.0033905057 0.003268545 0.0035449893 0.0037767144 0.0034067673 0.00343929 0.0033173293 0.0033783098 0.003382375 0.0036425577 0.003634427 0.003610035 0.0033945711 0.0035368586 0.0034433554 0.0033295255 0.0033335907 0.0035002704 0.0034921397 0.005719954 0.0062199924 0.0035612506 0.0034474207 0.00343929 0.003357983 0.003520597 0.0033376561 0.0034189632 0.0034596168 0.0036262963 0.0035409238 0.0033864405 0.0039921785 0.0040734853 0.0037157342 0.0040165703 0.0042117075 0.0037889106 0.0033742443 0.0036832113 0.0036181656 0.003963721 0.010899216 0.008368201 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.003916465 1.0215089e-05 2.0430178e-05 1.6344142e-05 1.0215089e-05 6.1290534e-06 2.4516214e-05 6.1290534e-06 2.6559232e-05 1.6344142e-05 8.172071e-06 8.172071e-06 3.4731303e-05 2.4516214e-05 1.0215089e-05 4.494639e-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 0.0044476497 0.0 0.0027887193 0.0011318319 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 3.0645268e-05 3.0645268e-05 0.0011992514 0.0034200118 4.0860356e-05 0.0020920502 0.0010603262 0.00022473195 3.677432e-05 5.3118463e-05 3.2688284e-05 2.4516214e-05 1.6344142e-05 4.290337e-05 2.0430178e-05 4.290337e-05 0.004388402 7.5591655e-05 0.0012952733 0.0005373137 0.00019817273 0.0002635493 0.00054957176 0.00024311911 0.00016344142 5.9247515e-05 3.0645268e-05 3.4731303e-05 8.784977e-05 5.516148e-05 0.0001368822 0.00024924817 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0022085023 0.00013075313 0.0001368822 0.00012462409 0.00015731237 0.00012258107 0.00012258107 0.00012871012 0.0001368822 0.00013075313 0.00013483917 0.00015118331 0.00013279615 0.00012871012 0.00012462409 0.000112365975 0.0039328095 0.00023699006 0.00037387226 0.000228818 0.00023494705 0.00028397946 0.00046376503 0.00024311911 0.0004024745 0.00024720514 0.0001368822 0.0001940867 0.0003227968 0.00024720514 0.0003248398 0.0004944103 0.0012053805 7.5591655e-05 0.00031462475 9.8064855e-05 0.00017365652 0.000116452014 0.00031462475 6.946261e-05 0.00032688284 0.00015526936 4.9032427e-05 8.784977e-05 0.00021655989 0.00012053805 0.00031666775 0.00054344273 0.008047447 0.0016609734 0.0033566782 0.002402589 0.0019878563 0.0018734473 0.0036345287 0.0013300045 0.0036222704 0.0019183937 0.0009643044 0.0023862447 0.002514955 0.0017038769 0.0029419456 0.005679589 0.06751561 0.053788573 0.056716215 0.053308465 0.05444438 0.053721152 0.059864506 0.054714058 0.05849364 0.05426664 0.05222362 0.05393567 0.056274924 0.05410524 0.056464925 0.05974397 1068.0 10.744382 11475.0 0.04923747 0.0050544664 0.0069716778 0.0042701527 0.0062745097 0.0042701527 0.0040087146 0.005315904 0.005925926 0.005664488 0.0041830065 0.004880174 0.0046187364 0.0035729848 0.005751634 0.0046187364 0.014727669 0.026579522 0.022657951 0.027712418 0.018039215 0.01664488 0.015860567 0.056557734 0.02466231 0.016034858 0.0043572984 0.005577342 0.006100218 0.0073202616 0.00540305 0.0058387797 0.0068845316 0.007930283 0.0041830065 0.004880174 0.0064488016 0.005577342 0.006100218 0.0071459697 0.0047930283 0.006361656 0.005141612 0.0058387797 0.005664488 0.005925926 0.0062745097 0.0043572984 0.0067102397 0.005315904 0.0049673202 0.0068845316 0.0044444446 0.0045315903 0.0045315903 0.006100218 0.005664488 0.0041830065 0.006013072 0.005925926 0.0033986927 0.005315904 0.0041830065 0.12583879 0.0049673202 0.020305011 0.011154684 0.025446624 0.015076253 0.023006536 0.014030501 0.0072331154 0.006187364 0.009673202 0.004880174 0.0042701527 0.010631808 0.0067102397 0.009324619 0.0128104575 0.006013072 0.0067102397 0.0139433555 0.009237473 0.014814815 0.0099346405 0.005141612 0.006361656 0.0066230935 0.0069716778 0.0052287583 0.004880174 0.0050544664 0.0062745097 0.005490196 0.00540305 5.939266 0.0 0.0 0.0 5.0 245981.0 532480.0 0.0 0.0 91.0 0.0 1.0 0.0 0.0 0.0 1364793300.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 9.0 0.0 5.0 0.0 5.0 0.0 33792.0 1024.0 4096.0 10.0 8.0 0.0 3.0 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 -236544.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7.917574 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 3.351034 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1000.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 12160.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -236173.0 0.0 0.0 0.0 0.0 -213312.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -33290.0 1000.0 563.0 12256.0 0.0 0.0 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 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 -1.0 0.0 0.0 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 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 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 -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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 497084.0 563.0 528384.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 388.0 507904.0 0.0 0.0 0.0 0.0


Input: 0.41395816 0.008088454 0.0035742554 0.004885228 0.0057633324 0.0022756506 0.0034629465 0.0014841199 0.0045018303 0.0018056792 0.002040665 0.0011501929 0.0025230038 0.0027827248 0.0014593846 0.0029682398 0.0035866231 0.0013109726 0.0014841199 0.0012367666 0.0019417235 0.0022756506 0.0016325319 0.0008410013 0.0023498565 0.0016820026 0.0015088553 0.0017438409 0.0021025033 0.0018304145 0.0014964875 0.0017685762 0.006369348 0.0016572672 0.0023498565 0.0015954289 0.0031661226 0.0018551499 0.0015954289 0.0018427823 0.001001781 0.0016820026 0.0019540912 0.0024611654 0.0018798852 0.0021643415 0.0025848423 0.0009894132 0.0058622737 0.0029064014 0.0023003859 0.0029064014 0.0021519738 0.0025230038 0.001780944 0.0017438409 0.0023127536 0.0018551499 0.000556545 0.0025848423 0.001780944 0.0020654001 0.0015459582 0.0016943703 0.007927674 0.0032897992 0.0012615019 0.0024982686 0.0032403285 0.002856931 0.0023127536 0.0021148708 0.0019169882 0.0019293559 0.0005070743 0.0011378253 0.0010512517 0.0022014445 0.0015830613 0.0012986049 0.003401108 0.0014717523 0.0015830613 0.0029187691 0.0015212229 0.0029682398 0.0025724745 0.0020777679 0.0017438409 0.0019169882 0.0012120312 0.0015088553 0.001335708 0.00092757493 0.0020777679 0.0018798852 0.0019540912 0.0031290194 0.0012986049 0.0027579896 0.0023251213 0.005256258 0.00074205996 0.0021643415 0.002733254 0.003846344 0.0022756506 0.0009894132 0.0022385474 0.0025848423 0.0035989909 0.0026466805 0.0023374888 0.0013975463 0.0043163155 0.0033516374 0.0074577024 0.0058375383 0.0018056792 0.0017438409 0.0017933116 0.002040665 0.0016448996 0.0014222816 0.0018056792 0.001669635 0.0014717523 0.0016820026 0.0033516374 0.0009523103 0.002634313 0.005107846 0.0029435046 0.00317849 0.0032897992 0.0015335906 0.0033269022 0.004736816 0.0028816662 0.007940042 0.001966459 0.004254477 0.0021643415 0.0019417235 0.0024982686 0.0003586623 0.0018427823 0.0017191055 0.0019911942 0.0022014445 0.0018922529 0.001780944 0.001669635 0.0017314733 0.0016325319 0.0017438409 0.0003586623 0.0016820026 0.0016201643 0.0016572672 0.0020654001 0.0022509152 0.0013975463 0.0007296923 0.0012491343 0.0017438409 0.0013604433 0.0014099139 0.0014841199 0.0014717523 0.001558326 0.0015459582 0.0017191055 0.0012491343 0.0013975463 0.0011872959 0.0012120312 0.0012738697 0.0013480756 0.001224399 0.00038339765 0.0014717523 0.001558326 0.0012491343 0.0006554863 0.0009770456 0.0013975463 0.0012491343 0.0011501929 0.0012862373 0.0014964875 0.001224399 0.0036731968 0.0022385474 0.001447017 0.0029064014 0.0015706936 0.0011996636 0.00081626594 0.0018798852 0.0015706936 0.0015212229 0.0010265163 0.0010636193 0.0020654001 0.0010141486 0.0010141486 0.0010759869 0.0012491343 0.001224399 0.0012738697 0.0005812803 0.0009770456 0.0008286336 0.0008410013 0.0010265163 0.00064311863 0.00091520726 0.0008286336 0.0010512517 0.00096467795 0.00074205996 0.001001781 0.000779163 0.0018427823 0.00079153065 0.00091520726 0.0008657366 0.00111309 0.00080389826 0.0010512517 0.0008657366 0.0027456218 0.0009028396 0.00096467795 0.002955872 0.0016943703 0.0012120312 0.0012367666 0.00051944196 0.0022880181 0.0014222816 0.0013480756 0.0016572672 0.0015088553 0.00070495694 0.0012615019 0.0018304145 0.0023127536 0.0012615019 0.0010883546 0.00068022165 0.0023622243 0.0010265163 0.010129118 0.07226427 0.15583782 0.0 6.341315e-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 0.037198152 0.00052632915 0.00045657466 6.341315e-06 7.609578e-05 1.268263e-05 3.1706575e-05 2.536526e-05 0.00041218547 1.9023944e-05 5.073052e-05 1.268263e-05 1.9023944e-05 1.268263e-05 7.609578e-05 2.536526e-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 0.035092838 0.00031706574 0.00022194603 6.975447e-05 0.0005960836 0.00036145496 0.0003043831 0.00021560471 0.00024096997 0.00013950893 0.00021560471 6.975447e-05 0.00037413757 0.0001712155 0.00019658076 0.00037413757 0.022023387 0.00037413757 0.00035511365 0.00015853287 0.0007355925 0.00015853287 7.609578e-05 0.00015219155 0.000703886 0.000114143666 0.00015853287 0.00010146104 0.0002980418 8.877841e-05 0.00016487419 0.00031072443 0.010279272 0.00024731128 0.0001268263 0.00017755682 5.073052e-05 6.341315e-05 6.341315e-05 0.00010146104 0.00012048498 0.00031706574 0.00019023944 0.00014585024 0.00022194603 4.4389206e-05 9.511972e-05 0.0007419338 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.016531808 4.4389206e-05 0.00065315544 0.00043755074 0.001008269 0.0010907062 0.003785765 0.0019467837 3.1706575e-05 5.073052e-05 3.804789e-05 3.1706575e-05 3.804789e-05 4.4389206e-05 5.073052e-05 0.00019023944 0.03342507 0.001008269 0.0007165686 0.0007799817 0.0010589996 0.0008751015 0.0007102273 0.0007355925 0.0015663048 0.0013126521 0.0012555803 0.00095119723 0.0010907062 0.0007799817 0.0008814428 0.0048003756 0.008078835 0.0002980418 0.00031072443 0.0004692573 0.00019023944 0.00017755682 0.000107802356 0.00027267655 0.00044389206 0.00031072443 0.0001712155 0.0001712155 0.00032340706 0.00017755682 0.00022194603 0.0012619217 0.007920302 9.511972e-05 0.0020482447 0.0012428977 0.002010197 0.0015028917 0.0068930094 0.0035321123 6.341315e-05 5.073052e-05 0.0001712155 5.7071833e-05 6.341315e-05 4.4389206e-05 7.609578e-05 0.00020292208 0.023507254 0.0011604606 0.0017184963 0.0019594664 0.0024223824 0.0011541193 0.0008116883 0.0011921672 0.0032911424 0.001490209 0.0013126521 0.0011731433 0.0015155743 0.0008116883 0.0008877841 0.0075398237 0.023646763 0.0016741072 0.0031135855 0.004020394 0.0022765321 0.001693131 0.0024667715 0.0024223824 0.002859933 0.0029931006 0.0019911728 0.0013633827 0.0015219155 0.0011224127 0.0015028917 0.010266589 0.052296825 0.009226614 0.01114169 0.012023133 0.014940138 0.0119280135 0.008446632 0.013995282 0.026773032 0.006969105 0.006398387 0.0049652494 0.010310978 0.0043374593 0.007793476 0.032220222 0.039905895 0.013475294 0.013671875 0.014521611 0.011376319 0.011921672 0.015612317 0.01682985 0.015739143 0.0126319 0.011712409 0.00993684 0.0100573255 0.00708959 0.008345171 0.046913046 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 235.0 18.004255 4231.0 0.06546915 0.00047270147 0.010635784 0.00047270147 0.0023635074 0.00023635074 0.00023635074 0.00094540295 0.0018908059 0.00023635074 0.00047270147 0.0014181045 0.00094540295 0.010163082 0.020326164 0.013708343 0.037343416 0.017962657 0.011344836 0.005436067 0.0037816118 0.0035452612 0.004963366 0.0018908059 0.0035452612 0.0023635074 0.0059087686 0.00047270147 0.0051997164 0.0051997164 0.0051997164 0.00070905226 0.0021271566 0.017253604 0.0021271566 0.0158355 0.012999291 0.0051997164 0.0030725596 0.0092176795 0.004254313 0.009926732 0.00023635074 0.0011817537 0.0035452612 0.0035452612 0.004254313 0.0023635074 0.008035925 0.00047270147 0.0063814702 0.01607185 0.0063814702 0.0021271566 0.004727015 0.005672418 0.004254313 0.0023635074 0.0030725596 0.00023635074 0.00047270147 0.00094540295 0.0014181045 0.0025998582 0.00094540295 0.032380052 0.005436067 0.03474356 0.020089813 0.070196174 0.0051997164 0.01890806 0.012290238 0.049397305 0.0021271566 0.0011817537 0.019380761 0.024580477 0.04088868 0.041834082 0.020089813 0.0011817537 0.04868825 0.034507208 0.06074214 0.0158355 0.006617821 0.009690381 0.0040179626 0.008981328 0.0011817537 0.00070905226 0.00023635074 0.00023635074 0.00023635074 0.00023635074 5.50543 0.0 16.0 0.0 3.0 80856.0 73728.0 0.0 0.0 38.0 0.0 1.0 1.0 0.0 0.0 1471718100.0 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 16384.0 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 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 -12288.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -16384.0 0.0 36864.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.3260202 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -0.40626252 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.6376257 0.0 5.7537436 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1952.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -10716.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -13742.0 0.0 36772.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 -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 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 21556.0 36772.0 36864.0 0.0 0.0 7128.0 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 0.0 156.0 20480.0 0.0 0.0 0.0 0.0


Input: 0.22583288 0.011542305 0.00630757 0.0063716196 0.011909258 0.0037602563 0.004452795 0.0026487256 0.014576664 0.0019028125 0.0020749462 0.0032385173 0.008498606 0.0022150553 0.0018681188 0.011929273 0.0065477565 0.0015305231 0.0011462243 0.0013597236 0.0038576655 0.0041925926 0.0014504609 0.0011382181 0.0030850647 0.00081396603 0.00089269393 0.0010181247 0.002563326 0.0023698423 0.0010541527 0.0010741684 0.005102633 0.0012289553 0.0012876677 0.0013437112 0.009344597 0.0012983426 0.0015598792 0.0010501497 0.0020642714 0.0009487375 0.0008406535 0.0018747906 0.0015385293 0.0008766815 0.0012009335 0.0007712662 0.0026020226 0.0012049366 0.001479817 0.006210161 0.0018441002 0.0013930829 0.0011182026 0.001083509 0.0022350708 0.002444567 0.0010221279 0.0037816062 0.0017133318 0.0019481811 0.001108862 0.0017560316 0.0031811395 0.002664738 0.002257755 0.0030263525 0.0048410967 0.01199866 0.004754362 0.0031958176 0.009328585 0.006679859 0.003006337 0.0012769926 0.0036014663 0.0062301764 0.002736794 0.001965528 0.009659508 0.005562991 0.0052267294 0.0050065583 0.003805625 0.007162901 0.006794615 0.0050425865 0.0013663955 0.0018494376 0.0008393191 0.0034226605 0.0017186693 0.0068426523 0.0049024774 0.0041779145 0.0012649833 0.002582007 0.0010314685 0.0015865667 0.0018427657 0.003977759 0.0035881225 0.0010474809 0.0037215597 0.002106971 0.007284329 0.00076726306 0.0023818514 0.0012836645 0.002455242 0.0023778484 0.0019428435 0.0006364948 0.0029609683 0.0022243958 0.010486819 0.009618144 0.0013917485 0.0015198481 0.0018027347 0.0013170238 0.0007966192 0.00080462545 0.0019094843 0.0035494259 0.0017627035 0.0019361717 0.0031317677 0.0018961406 0.0010608246 0.014664733 0.0050532613 0.008393191 0.0019254967 0.0012089397 0.0020896243 0.013866779 0.0015585448 0.03898497 0.0012769926 0.01086578 0.0009807624 0.000918047 0.0014090954 0.0007712662 0.00060046674 0.0006885352 0.0011782493 0.0012943394 0.0008446566 0.00066851964 0.0008753471 0.00079795363 0.0005991324 0.00068720087 0.0010594903 0.000788613 0.00066985405 0.00083131285 0.00095407496 0.0010234623 0.0005550982 0.0012863332 0.0011382181 0.00065517594 0.0005897918 0.0005991324 0.0016572883 0.00065517594 0.0006138105 0.0006765259 0.001030134 0.00062848855 0.0005631044 0.0006404979 0.0013930829 0.0006258198 0.0006671853 0.0006631822 0.0010368059 0.00070988515 0.0031531176 0.0015358606 0.00226843 0.0010114529 0.001015456 0.0013170238 0.0010101185 0.0008059598 0.0010181247 0.0014491264 0.008921602 0.00413388 0.0053454884 0.003362614 0.0042099394 0.00064583536 0.0028141877 0.0060073365 0.0021937052 0.0017386848 0.0010608246 0.000824641 0.0043006763 0.0007112195 0.0010328029 0.00085533154 0.0018908031 0.0010755027 0.0014878232 0.0008646721 0.0012476365 0.00054042006 0.0009981092 0.0009554093 0.0019748684 0.0011568993 0.00074057566 0.0017693754 0.0015025013 0.0011875898 0.0008299785 0.0008406535 0.0032425206 0.0014264422 0.0015171793 0.0007445788 0.00202424 0.0028755686 0.0008259754 0.00069654145 0.017779153 0.0038843527 0.0007592569 0.0037389065 0.005220058 0.0006671853 0.00080862857 0.000860669 0.0032932267 0.0009714218 0.0009727562 0.0010648278 0.0023378173 0.0007312351 0.002535304 0.0018721219 0.0063209133 0.0035374165 0.0026980974 0.003201155 0.004350048 0.0042326236 0.0047570313 0.041656382 0.091778144 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.6755138e-06 0.0013183594 1.3377569e-06 1.27086905e-05 2.0066352e-06 2.0066352e-06 2.0066352e-06 1.3377569e-06 0.0 1.3377569e-06 6.6887844e-07 6.6887844e-07 1.3377569e-06 3.344392e-06 1.2039812e-05 1.3377569e-06 9.3642975e-06 0.001270869 4.6821488e-06 3.344392e-06 3.344392e-06 4.6821488e-06 4.0132704e-06 2.0066352e-06 4.0132704e-06 1.9397474e-05 4.6821488e-06 6.688784e-06 6.019906e-06 5.3510275e-06 4.0132704e-06 2.0066353e-05 6.688784e-06 0.0011979613 1.5384203e-05 4.0132704e-06 1.3377569e-06 8.762308e-05 2.6755137e-05 4.0132704e-06 6.019906e-06 4.0132704e-06 4.0132704e-06 4.0132704e-06 4.0132704e-06 1.3377569e-06 4.0132704e-06 4.0132704e-06 1.3377569e-06 0.0011391 3.6119436e-05 4.0132705e-05 2.6755138e-06 3.6788315e-05 2.0066353e-05 3.2106163e-05 2.2741866e-05 6.019906e-06 2.0066352e-06 9.3642975e-06 1.3377569e-06 3.344392e-06 6.688784e-06 4.0132704e-06 7.3576625e-06 0.011226456 2.8092894e-05 0.00010969606 5.953018e-05 0.0033055972 0.001947105 0.0004775792 0.00028694884 2.3410745e-05 1.0033176e-05 1.1370933e-05 1.0702055e-05 1.0702055e-05 3.745719e-05 1.5384203e-05 0.0002481539 0.0055195848 6.0867937e-05 0.00013377568 9.163634e-05 0.001094285 0.000583262 0.00019665026 7.959653e-05 6.0867937e-05 5.1503637e-05 3.41128e-05 3.9463826e-05 4.7490368e-05 4.34771e-05 6.621896e-05 0.00011638484 0.017814908 0.00022541203 0.001755137 0.0013705319 0.002657454 0.0014728702 0.0045503797 0.0022648224 0.00010568279 7.959653e-05 5.819242e-05 9.5649615e-05 5.819242e-05 4.8828126e-05 5.6854667e-05 0.00026220034 0.011564239 0.0002106967 0.0007611836 0.0003973138 0.0024875589 0.0015825663 0.006975064 0.0035537512 0.0001117027 7.8258774e-05 6.5550084e-05 7.558326e-05 0.000101669524 0.00010702055 9.698737e-05 0.0005979773 0.002201279 1.3377569e-06 0.0003718964 0.000101000645 0.00053510274 0.00029965752 0.0012521404 0.00065884524 1.672196e-05 6.688784e-06 4.0132704e-06 6.019906e-06 6.6887844e-07 1.672196e-05 5.3510275e-06 2.0066352e-06 0.0066279164 0.0003504923 0.00048159246 0.00031771726 0.00077790563 0.00036988978 0.0014079891 0.00095716503 0.00030233304 0.00015384203 0.00015718643 0.00016721961 0.00021002782 0.00018862372 0.0005036655 0.0007250642 0.0042533977 0.00029631314 0.00029430652 0.00028561108 0.00079864083 0.0004989833 0.0005645334 0.00039798266 0.0012320741 0.00020133241 0.00018461044 0.00021671661 0.00039330052 0.0001739084 0.00028026005 0.0008869328 0.015027023 0.002178537 0.0011564908 0.0026266857 0.005348352 0.0019009524 0.00076385913 0.0014367509 0.005897501 0.0007404484 0.00092171447 0.0015544734 0.0028032695 0.0010053243 0.0022782 0.003675487 0.10389421 0.01706844 0.013657829 0.013342118 0.033728864 0.042101882 0.011386986 0.019196142 0.06700557 0.004835322 0.00445473 0.0087375585 0.027209975 0.007894772 0.02545283 0.04797798 0.039648436 0.008637227 0.008340245 0.0075783925 0.01490328 0.017708557 0.006634605 0.010856566 0.028383857 0.002591235 0.0023852205 0.003774481 0.012483278 0.004647367 0.0130665405 0.025210029 0.0049336473 0.0050580585 0.005161066 0.005110231 0.0051456816 0.005042006 0.0051236087 0.005029297 0.004969767 0.0050326413 0.005001204 0.005033979 0.004944349 0.004918932 0.005314908 0.005002542 1946.0 11.685509 22740.0 0.03126649 0.001407212 0.002242744 0.0023746702 0.016402815 0.0013632366 0.0013192613 0.0029903254 0.005848725 0.0034740546 0.0016710642 0.0023306948 0.0038258575 0.002242744 0.009850483 0.0016270889 0.013236588 0.012489006 0.012532981 0.012532981 0.014863676 0.01292876 0.011565523 0.010861917 0.012972735 0.014335972 0.002022867 0.0047933157 0.006244503 0.0019349165 0.0022867194 0.0018469658 0.003078276 0.0054529463 0.0036059807 0.010510114 0.010246262 0.0068601584 0.007783641 0.010114336 0.0078715915 0.008003518 0.002814424 0.0035180298 0.00883905 0.005848725 0.0037379067 0.0045294636 0.021635884 0.011917327 0.01358839 0.01842568 0.010202287 0.0035620052 0.012532981 0.019261213 0.001890941 0.0036939315 0.001055409 0.005408971 0.0051011434 0.0043095867 0.0044415127 0.0071240105 0.0032541777 0.03412489 0.0069481093 0.019920845 0.01635884 0.068557605 0.0071240105 0.009278804 0.013720317 0.030079156 0.0072559365 0.003869833 0.02700088 0.01358839 0.032102022 0.035224274 0.012269129 0.0019349165 0.037818823 0.024978012 0.051846966 0.017897977 0.0064204047 0.0068601584 0.0059366752 0.008091468 0.001978892 0.001539138 0.0035180298 0.0017150396 0.0014511873 0.0026824977 5.9680476 0.0 0.0 0.0 4.0 749417.0 716800.0 0.0 0.0 15.0 0.0 1.0 0.0 0.0 0.0 1327872800.0 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 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 10.0 0.0 5.0 0.0 5.0 0.0 526336.0 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 57344.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -26624.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -526336.0 0.0 15872.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4.487795 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.1500716 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.6878614 0.0 3.923169 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 57280.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -108376.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -525852.0 0.0 15864.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 340.0 578588.0 15864.0 700416.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0