Input: 0.056628115 0.008294587 0.0061673983 0.0056531895 0.0057525137 0.0049548177 0.004196438 0.0054121222 0.0050500035 0.0056345663 0.0037525839 0.0044633714 0.004951714 0.0031804366 0.004331974 0.004639257 0.005034484 0.0037618957 0.004933091 0.0041540186 0.0043516317 0.003181471 0.0041043563 0.0038363885 0.005070696 0.003347011 0.0031628478 0.002925919 0.004151949 0.003446335 0.0037794842 0.0037867266 0.006160156 0.003813627 0.0034784083 0.003022139 0.0048875674 0.00416333 0.003840527 0.0037256838 0.0047323736 0.0038860505 0.0033366648 0.0031038742 0.0043826704 0.0037267182 0.0037236144 0.0035798016 0.005519723 0.0039522666 0.0031049089 0.0028990186 0.0036760217 0.003076974 0.0026900244 0.0028628067 0.004166434 0.0033107991 0.0035166896 0.0033387342 0.0040071015 0.0032300984 0.0035001356 0.0034680623 0.0066019404 0.00394192 0.0036222213 0.0032228562 0.0041695377 0.0032156138 0.0035497975 0.0030676625 0.0049982723 0.0037701726 0.0037091298 0.0035891132 0.0041209105 0.0031390516 0.0035560052 0.0034587504 0.0051607084 0.0036273943 0.0036511908 0.0033294226 0.003934678 0.0033863268 0.003368738 0.0035353128 0.0046464996 0.003648087 0.003804315 0.003504274 0.004114703 0.0033842577 0.0036987835 0.0037877613 0.0059046033 0.003636706 0.0033511496 0.0029631653 0.0040050326 0.0030552468 0.0032766566 0.0030283467 0.0049786144 0.003168021 0.0031887135 0.003043866 0.0035746286 0.0028410796 0.0030842165 0.003192852 0.004513033 0.0032901068 0.0032166482 0.0031390516 0.0038829467 0.0033408033 0.003289072 0.0036377406 0.004624773 0.003303557 0.0034949624 0.0031690556 0.0040360712 0.0032031983 0.0034773739 0.0033408033 0.008643256 0.0045885607 0.0040257247 0.003517724 0.004358874 0.0034421966 0.0030242081 0.0033904654 0.0045347605 0.003835354 0.002952819 0.003192852 0.0037256838 0.0027914175 0.0028493565 0.0029869617 0.0052383053 0.0032166482 0.0034928932 0.0030293812 0.0036605024 0.003181471 0.0033128685 0.0032683795 0.0045347605 0.002836941 0.0030345544 0.0027065785 0.003515655 0.0032363061 0.002994204 0.003151467 0.0050055147 0.00340495 0.0032818296 0.002803833 0.003769138 0.0030128274 0.0030500737 0.0031907826 0.0041395337 0.0029962733 0.0031256014 0.003022139 0.0036470522 0.0028328025 0.0029176418 0.0030459352 0.0046640886 0.0031111166 0.003843631 0.0028628067 0.003575663 0.003159744 0.0029911 0.003123532 0.004244031 0.0031493977 0.0033387342 0.0031638825 0.0036542946 0.003184575 0.0033294226 0.0033573573 0.0067157494 0.004058833 0.0037298223 0.0033511496 0.004125049 0.0032549296 0.0033097647 0.0032332023 0.004321628 0.0033263187 0.003113186 0.0030862857 0.0036511908 0.0029921348 0.0030811124 0.0028027985 0.004240927 0.0032766566 0.0030914587 0.0029879962 0.0037101645 0.0030117927 0.002944542 0.0029455766 0.0039719245 0.0031080127 0.00272934 0.0026424315 0.0035404859 0.0029507498 0.003578767 0.0028855684 0.0049455063 0.0032300984 0.0033935693 0.0029755807 0.003813627 0.003080078 0.003214579 0.0029186765 0.004444748 0.005439022 0.0034649584 0.0031390516 0.0037867266 0.0030697316 0.0032487218 0.0031990597 0.0046123574 0.0033118338 0.0034152963 0.0030449007 0.0037401684 0.0030831818 0.0033097647 0.0032404447 0.004353701 0.003043866 0.0031835404 0.0028628067 0.004022621 0.0030883548 0.0042305808 0.004510964 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 0.0045780255 0.0002944201 0.00027213126 0.0002633194 0.0003078971 0.00023843882 0.0003275942 0.00030945212 0.00032655752 0.00035402982 0.00032500247 0.00035351148 0.0005230104 0.00015498523 0.0001866043 0.00073916034 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 0.099180184 0.06198269 0.06244091 0.05532403 0.060582124 0.059557874 0.054961186 0.05451178 0.060459275 0.05318067 0.052152272 0.05297437 0.056447282 0.050548512 0.05666343 0.05383171 4034.0 5.7032723 23007.0 0.017038293 0.010388142 0.009344982 0.008736472 0.01347416 0.01260486 0.011822489 0.011474769 0.012691789 0.009649238 0.008562611 0.008693007 0.01390881 0.010475073 0.011865954 0.010040423 0.016734038 0.011952884 0.008693007 0.0076063806 0.009779632 0.008475682 0.007780241 0.008388751 0.010301213 0.008432216 0.009605772 0.008823401 0.011431304 0.008953797 0.009562307 0.009258052 0.018081453 0.010909723 0.010344678 0.009127657 0.011083583 0.008866867 0.010648933 0.008258356 0.014169601 0.011561698 0.009736167 0.008910332 0.011387838 0.009344982 0.011648629 0.009518842 0.014734646 0.009605772 0.009953492 0.009040726 0.012039814 0.009388447 0.009605772 0.009866563 0.013734951 0.009301517 0.010562003 0.009562307 0.011170513 0.009779632 0.010388142 0.010692398 0.017864129 0.010996653 0.009649238 0.008214891 0.01303951 0.008214891 0.009388447 0.008345286 0.015430086 0.009301517 0.008910332 0.008649541 0.011300908 0.007910636 0.009866563 0.0078671705 0.013169905 0.007910636 0.008736472 0.0087799365 0.011387838 0.009388447 0.0080844965 0.008041031 0.010909723 0.009040726 0.011952884 0.008649541 0.011518233 0.009040726 0.010127353 0.008736472 6.554734 0.0 0.0 0.0 15.0 966534.0 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: 0.100433625 0.00720257 0.004632423 0.004167451 0.0054338425 0.0034284773 0.0028431106 0.002741744 0.007837582 0.0026054352 0.0028258127 0.0024336653 0.005190978 0.0028202771 0.0022567061 0.00544007 0.005358596 0.0027877567 0.0023604946 0.0021001585 0.004236989 0.0023592836 0.0024331464 0.0021006775 0.0040273364 0.002203601 0.002078536 0.002160183 0.0032087918 0.0020173008 0.0021321601 0.002301335 0.013526744 0.00219599 0.0024111778 0.0020001756 0.0043044514 0.0022262614 0.002103618 0.00216814 0.0028621384 0.0021371765 0.0020207604 0.0027915624 0.0028796096 0.0025698012 0.0029444774 0.00286629 0.004186133 0.0035521586 0.0035734351 0.0044609993 0.0037149333 0.0030474009 0.0030482658 0.0029866847 0.0038228733 0.003190283 0.002597305 0.003459095 0.003261032 0.0027562743 0.002615468 0.0036684016 0.0034530405 0.004568593 0.004201009 0.003260513 0.0042869807 0.0115795005 0.0032876711 0.0028121471 0.0037234095 0.0032228034 0.002993431 0.0026760113 0.003421212 0.011889828 0.0030871865 0.002787238 0.0066877794 0.0052845604 0.004550084 0.0036303457 0.0036346703 0.0073700156 0.0032914765 0.0028685387 0.0031252422 0.003352193 0.002760426 0.0027260028 0.0026305174 0.0028901615 0.0023966476 0.002840862 0.0031876883 0.0055675567 0.0031722928 0.00472393 0.005534171 0.0073148347 0.0041972036 0.003665461 0.0064452607 0.005624467 0.004274007 0.0029629862 0.004478124 0.003573954 0.0047915652 0.0049972394 0.004255498 0.0028723443 0.0050031208 0.004821491 0.008091172 0.0057398453 0.0030932408 0.0029233736 0.0034481972 0.0033170779 0.0026972878 0.002024912 0.002668919 0.0032909578 0.0022245317 0.0024199998 0.0035730891 0.0034827932 0.0023248605 0.007967491 0.0030358112 0.006441974 0.0020626218 0.0019669635 0.0034699927 0.0071738553 0.00276008 0.024013871 0.002474489 0.010746945 0.002141155 0.0020527618 0.0024492336 0.0021553393 0.0019339242 0.0023399098 0.0026104515 0.0031504973 0.0020582972 0.0019425732 0.0022944158 0.0019550277 0.0019443029 0.0019671365 0.00228421 0.0019311565 0.0020449779 0.0021437497 0.0024438712 0.0023672408 0.0019339242 0.0022814423 0.002222629 0.0019602173 0.0019408434 0.0019048634 0.002160356 0.0018659427 0.0019904887 0.001935827 0.002193741 0.0018936197 0.0019866833 0.0020373666 0.0024333193 0.0020034623 0.0020105545 0.0020281987 0.0022817883 0.002034426 0.0035410877 0.0022086175 0.0027886217 0.0020473995 0.002042037 0.0020122845 0.0024469849 0.002391285 0.0023227846 0.0023599756 0.004658889 0.0038782272 0.0027917353 0.0028920642 0.0039292565 0.0021728105 0.0040830364 0.0046528345 0.0030243944 0.002482273 0.0019493194 0.0021568963 0.0099856565 0.001998446 0.0020273337 0.0022625874 0.0032906118 0.0021581072 0.0024483688 0.0022416569 0.0023701815 0.0019488005 0.0019270049 0.0022272994 0.0024798512 0.0022719284 0.0018531422 0.0023361042 0.002438509 0.0021421928 0.0019735368 0.0021913194 0.0030858025 0.0022013523 0.0021477283 0.002249095 0.0029315038 0.0025917697 0.0020212794 0.0024748347 0.011147395 0.004140812 0.0019904887 0.0037618112 0.0040240497 0.0024227677 0.0022144988 0.0025694552 0.0039067687 0.0022523815 0.002239581 0.0026011106 0.0035874466 0.0022350836 0.0025208476 0.0029633322 0.004087015 0.0027983086 0.002857122 0.0030117668 0.0072771246 0.004022666 0.0049145543 0.037737988 0.01934784 1.7302666e-07 0.0052632983 1.4707266e-06 5.1908e-07 8.651333e-07 1.03816e-06 7.7862e-07 1.7302666e-07 1.7302666e-07 0.0 0.0 2.5954e-07 7.7862e-07 5.1908e-07 1.0035546e-05 0.00084393757 6.0559336e-07 2.9414532e-06 6.1424466e-06 6.0559336e-07 5.1908e-07 2.1628334e-06 2.85494e-06 4.3256665e-07 2.5954e-07 7.7862e-07 1.7302666e-07 1.9032933e-06 9.5164665e-07 1.2111867e-06 2.0417147e-05 0.0011312483 1.323654e-05 0.0001680954 1.20253535e-05 6.055933e-06 3.8065866e-06 1.764872e-05 1.3928647e-05 1.55724e-06 5.1908e-07 2.1628334e-06 2.7684266e-06 1.4707266e-06 1.9898066e-06 3.2009932e-06 3.7719812e-05 0.005644562 0.00016108782 0.00010407554 4.0142186e-05 4.308364e-05 3.330763e-05 4.386226e-05 2.8981967e-05 2.9241506e-05 3.010664e-05 3.11448e-05 2.5954e-05 3.1750395e-05 2.7857293e-05 2.958756e-05 7.370936e-05 0.002372628 3.5210927e-05 0.0001823701 3.7287246e-05 2.8462886e-05 1.9292473e-05 1.375562e-05 2.0676687e-05 3.4605335e-05 3.425928e-05 1.7994773e-05 2.2666492e-05 1.7735234e-05 1.868688e-05 1.8340827e-05 0.00031525458 0.0016954017 3.7287246e-05 0.0001661056 2.5954e-05 3.4345794e-05 2.906848e-05 6.1943545e-05 3.3048094e-05 3.7979353e-05 4.4727392e-05 1.6697073e-05 1.401516e-05 1.4966807e-05 1.712964e-05 1.8081286e-05 5.657972e-05 0.0020917193 6.1684004e-05 4.93126e-05 2.8462886e-05 0.00017077732 0.00011065055 0.00017216153 8.573471e-05 8.4004445e-05 7.777548e-05 3.5210927e-05 2.1455306e-05 3.50379e-05 1.7302667e-05 1.7043127e-05 0.00013089467 0.010933123 0.00026005908 0.00076451834 0.000207632 0.00033463357 0.0006942695 0.0025058587 0.0011513195 0.00025469525 0.00043403739 0.000139546 0.00012544433 0.00012475223 0.00012838579 0.00013997857 0.0025317261 0.0065068407 0.0001881665 0.0016874425 0.0006168401 0.0008823495 0.00073986204 0.0058417264 0.0027800195 0.00013591244 0.00019863462 9.5078154e-05 8.1236016e-05 9.5424206e-05 9.7673554e-05 9.499164e-05 0.0010421396 0.006442821 0.00015589703 0.0038725098 0.004514612 0.008280624 0.005139238 0.015039911 0.008254496 0.000103816 0.000119993994 8.348536e-05 8.192813e-05 6.0905386e-05 8.746498e-05 7.993832e-05 0.0006589721 0.003486747 0.00015598354 0.0021335918 0.0041291085 0.0061137243 0.0042941757 0.008509192 0.0053422847 0.00012414664 6.8085996e-05 5.0264247e-05 6.1424464e-05 8.17551e-05 4.957214e-05 4.6544174e-05 0.0002577232 0.0043985974 0.0008000753 0.0008455813 0.0062383036 0.0011357471 0.0010408419 0.001229787 0.0010201653 0.002995351 0.0008589909 0.0005148408 0.000645649 0.00097016053 0.0005294616 0.0008611537 0.0037324447 0.012133322 0.0018846064 0.0011120423 0.0015130317 0.0042332704 0.0027319181 0.0019095222 0.0016780992 0.010924904 0.0012440617 0.0007284423 0.0012413798 0.003419353 0.0011057269 0.0037859099 0.010949733 0.03929271 0.0077896607 0.004674921 0.004460714 0.0169458 0.012586046 0.0076038297 0.006265901 0.0336735 0.0027587372 0.0026059547 0.0043900325 0.016729256 0.0039009727 0.0143202925 0.03178197 0.012391564 0.0030158549 0.0023101654 0.0028041566 0.0044255895 0.0046342597 0.003088353 0.0032920053 0.008120574 0.0010095241 0.0010116869 0.0015791279 0.0044993856 0.0018149632 0.0036535445 0.0068425126 0.033384975 0.029316513 0.028682543 0.029318158 0.028632106 0.027994417 0.028485985 0.028935162 0.029190032 0.028334241 0.027792236 0.028666452 0.028874343 0.028508479 0.028917167 0.030594401 32061.0 21.040735 674587.0 0.08780335 0.0014319873 0.0028017142 0.0013815861 0.0024222229 0.0025422962 0.0021998645 0.0020249428 0.0026875704 0.0023673745 0.0014927652 0.0063401754 0.002465212 0.00651658 0.009712609 0.008331023 0.011481099 0.011725693 0.01096078 0.009963133 0.010055041 0.009205633 0.009002545 0.008520769 0.009339048 0.008630466 0.0046206047 0.004055815 0.0040157903 0.0035280846 0.0036941122 0.0030759561 0.0025852856 0.017549997 0.009193773 0.0120444065 0.012886403 0.011444039 0.010136573 0.008259868 0.008590441 0.010981534 0.0073081753 0.007951532 0.008599335 0.009250104 0.0102774 0.007616512 0.010521993 0.008762399 0.009939414 0.013680964 0.010627243 0.009356836 0.008597854 0.0075735226 0.0075453576 0.0073482 0.007371918 0.00149573 0.0018263026 0.0015461312 0.0013593503 0.005634559 0.0019419289 0.02790448 0.009782282 0.019570492 0.02033244 0.0445013 0.012053301 0.013575714 0.014167187 0.028931776 0.007325964 0.009596983 0.019306628 0.014300602 0.025104249 0.026813444 0.01679398 0.0074845795 0.025356255 0.022938479 0.032556217 0.014611904 0.009497663 0.0085133575 0.009456156 0.011337307 0.0071451124 0.0012214881 0.0018841157 0.001255583 0.0011888755 0.0012911604 6.053489 1.0 141.0 15.0 90.0 5780992.0 6504448.0 1.0 0.0 284.0 1.0 1.0 0.0 1.0 0.0 1539201700.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 9.0 0.0 5.0 0.0 5.0 0.0 1827840.0 1024.0 4096.0 6.0 0.0 0.0 1.0 2.0 0.0 0.0 -512.0 0.0 0.0 -152064.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 759808.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -100864.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1827840.0 0.0 2938880.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3.9096785 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 6.2834964 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.598519 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.3560457 0.0 7.8683834 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -9.0 0.0 0.0 -151648.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 759736.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -804196.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1827331.0 0.0 2938844.0 0.0 0.0 0.0 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 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 -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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 -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 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 -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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 -1.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 1.0 1.0 0.0 0.0 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 1.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 -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 0.0 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 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 -1.0 1.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 2.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -3.0 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 -2.0 0.0 -1.0 -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 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 -2.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 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 0.0 -2.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 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 1.0 2.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 -1.0 0.0 0.0 2.0 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 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 1.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 -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 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 1.0 0.0 1.0 0.0 0.0 -1.0 0.0 1.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 -1.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 1.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 -1.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 3.0 -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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 -1.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 1.0 -1.0 0.0 0.0 0.0 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 0.0 0.0 1.0 1.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 -1.0 -1.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 -1.0 -1.0 0.0 -1.0 1.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 -1.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 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 0.0 -1.0 1.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 -1.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 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 1.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 -1.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 300.0 2588152.0 2938844.0 3407872.0 0.0 0.0 0.0 0.0 68704.0 6348800.0 28.0 1836464.0 0.0 0.0 0.0 0.0 24.0 2505600.0 64.0 2505528.0 0.0 0.0 1192.0 1835008.0 0.0 0.0 0.0 0.0


Input: 0.20048727 0.0036344233 0.0031612436 0.003966656 0.0029900933 0.0031713112 0.0029699581 0.0035438144 0.0031411082 0.0028894169 0.003231717 0.0038055736 0.0026578608 0.0032115818 0.0029598905 0.00455058 0.0032216494 0.0031813788 0.0027182668 0.0035136114 0.0029498227 0.0028189432 0.0031612436 0.0037753705 0.0030202963 0.0028894169 0.0030202963 0.0035639498 0.0029296875 0.0031109052 0.00309077 0.0036243557 0.0028894169 0.0028894169 0.00291962 0.003382732 0.0028894169 0.0028894169 0.0024061694 0.0035035438 0.0028491463 0.0028592139 0.0030706346 0.0033323937 0.003231717 0.0028088756 0.002798808 0.0028692817 0.0027182668 0.0029598905 0.0029598905 0.003644491 0.0030102287 0.003120973 0.0028894169 0.0032719877 0.002798808 0.0028088756 0.0026779962 0.0035941526 0.0028894169 0.0032115818 0.0030504994 0.003231717 0.003443138 0.002939755 0.0028491463 0.0036344233 0.0029095523 0.0030001611 0.002738402 0.0032518525 0.0028994845 0.0027786726 0.0028189432 0.003382732 0.002768605 0.0029095523 0.0029498227 0.003644491 0.0028894169 0.003060567 0.0032115818 0.0035740174 0.0028491463 0.0031813788 0.002627658 0.0037854381 0.00309077 0.0029598905 0.0031109052 0.0037250323 0.0029800257 0.002939755 0.0031411082 0.003614288 0.0027484698 0.0029699581 0.0029900933 0.0032820555 0.0028390787 0.0030001611 0.0031310406 0.003644491 0.0029498227 0.0030404318 0.0030404318 0.0038659794 0.0028592139 0.0028994845 0.0028491463 0.0037351 0.0029498227 0.003030364 0.0030807024 0.0036545587 0.003120973 0.0032417849 0.0028491463 0.0037451675 0.00291962 0.0028592139 0.0028592139 0.0033122583 0.0029699581 0.0030001611 0.0029598905 0.003966656 0.0029699581 0.0040471973 0.0028894169 0.0035035438 0.003120973 0.0029498227 0.0032015142 0.0036344233 0.00309077 0.003030364 0.0030102287 0.0040471973 0.0027484698 0.003443138 0.0028692817 0.0036243557 0.0030001611 0.0027484698 0.0030706346 0.0037753705 0.0030404318 0.0030504994 0.0029699581 0.0034532056 0.0028189432 0.0030102287 0.0028390787 0.003382732 0.0030202963 0.0029900933 0.0027182668 0.0037451675 0.0028592139 0.0030404318 0.002939755 0.003443138 0.0028994845 0.0025773195 0.0027081992 0.0035035438 0.002939755 0.0029296875 0.0031612436 0.003443138 0.0032216494 0.0026075225 0.0031310406 0.0036344233 0.0030102287 0.0027786726 0.0030706346 0.0035639498 0.0029498227 0.0029598905 0.0030807024 0.0035639498 0.0027786726 0.0029095523 0.003060567 0.0033424613 0.0028894169 0.0028692817 0.0028491463 0.0038559118 0.003231717 0.0031511758 0.0029498227 0.0036545587 0.0028793493 0.0028491463 0.0035337468 0.003966656 0.0029800257 0.0031310406 0.0028793493 0.003553882 0.0032417849 0.0026377256 0.0029095523 0.0036243557 0.0028793493 0.0028088756 0.0030706346 0.0032518525 0.0030706346 0.0028793493 0.0028390787 0.0040371297 0.0031109052 0.002939755 0.003120973 0.003553882 0.0031109052 0.0029095523 0.0028390787 0.0033323937 0.0030001611 0.0028189432 0.0029699581 0.003292123 0.0028994845 0.002768605 0.0026075225 0.0034632732 0.003030364 0.0029598905 0.0026779962 0.0040069264 0.0030404318 0.0032115818 0.003412935 0.003412935 0.0029699581 0.0028390787 0.003120973 0.0036948293 0.0030102287 0.0029095523 0.0033021907 0.0041277385 0.0025169137 0.0030404318 0.0030001611 0.0037149645 0.0031914464 0.0030807024 0.0029800257 0.004198212 0.17708333 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.006617228 0.00027974448 0.00023905437 0.00022888184 0.00028483072 0.0002492269 0.00020345052 0.00025431314 0.00026957193 0.00031026205 0.00028483072 0.00022379558 0.0002593994 0.00022888184 0.00021362305 0.00026957193 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.004740397 0.0003712972 0.00019836426 0.0002187093 0.00033569336 0.00032043457 0.0004374186 0.00034586588 0.00081380206 0.00012207031 0.00013224284 0.0002644857 0.00072733563 0.00042215982 0.00030517578 0.0006612142 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.004582723 0.0006713867 0.0005187988 0.0008544922 0.000579834 0.0008239746 0.0005950928 0.0008951823 0.0026448567 0.00029500326 0.0005187988 0.00081380206 0.0025075276 0.0011850992 0.0009765625 0.0023701985 0.051015217 0.04961141 0.04703776 0.048029583 0.0480601 0.049779255 0.048863728 0.049423218 0.04880778 0.04940796 0.048609417 0.04871623 0.048110962 0.04838562 0.04856364 0.048828125 370.0 5.772973 2136.0 0.0107677905 0.008895131 0.008895131 0.013108614 0.0093632955 0.0107677905 0.007958801 0.009831461 0.007958801 0.007490637 0.014981274 0.008895131 0.008895131 0.008895131 0.008895131 0.007958801 0.005149813 0.009831461 0.01170412 0.015449438 0.011235955 0.008895131 0.008895131 0.014044944 0.0060861423 0.0107677905 0.007958801 0.012640449 0.005149813 0.0107677905 0.008895131 0.014044944 0.0093632955 0.007958801 0.007958801 0.012640449 0.0093632955 0.013108614 0.013576779 0.011235955 0.008895131 0.007490637 0.010299626 0.009831461 0.0107677905 0.009831461 0.011235955 0.01170412 0.0093632955 0.013576779 0.01170412 0.012172285 0.012640449 0.008895131 0.0107677905 0.0107677905 0.008426966 0.011235955 0.013108614 0.012640449 0.007958801 0.007490637 0.012172285 0.011235955 0.01170412 0.007958801 0.0060861423 0.0107677905 0.008895131 0.014044944 0.012172285 0.0107677905 0.0107677905 0.014981274 0.011235955 0.012172285 0.008895131 0.009831461 0.0093632955 0.016853932 0.011235955 0.01170412 0.01170412 0.01170412 0.0107677905 0.009831461 0.011235955 0.010299626 0.010299626 0.0107677905 0.007958801 0.01170412 0.008426966 0.007490637 0.008895131 0.014981274 6.55065 0.0 0.0 0.0 1.0 99328.0 73728.0 0.0 0.0 3.0 0.0 0.0 0.0 0.0 0.0 1288916700.0 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 0.0 512.0 512.0 4096.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -66048.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7.986164 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -69632.0 0.0 0.0 0.0 0.0 0.0 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 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 4240.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 16.0 4096.0 0.0 0.0 0.0 0.0


Input: 0.028888775 0.018711181 0.017860698 0.015662603 0.015640484 0.013985967 0.014227619 0.013027101 0.013279259 0.011962061 0.012531631 0.011323369 0.011795062 0.010820711 0.0113383 0.0101897605 0.010756012 0.009726363 0.010224045 0.009542221 0.009895575 0.009101496 0.009483606 0.0087492475 0.009160112 0.008561235 0.008893022 0.008315711 0.008801228 0.0079828175 0.008367692 0.007813606 0.008132676 0.007568083 0.007866139 0.007380623 0.0075216326 0.007098603 0.00742099 0.006757967 0.0073032053 0.0067303185 0.0070283744 0.0066169575 0.006762944 0.0063946596 0.00668055 0.0062752157 0.0066114278 0.006138077 0.006383047 0.005915226 0.0061989045 0.0058488683 0.0060695074 0.005723895 0.0060667424 0.005552471 0.005854398 0.0054324744 0.005697352 0.0052936766 0.0055469414 0.005169256 0.0053710938 0.0051073222 0.0053500803 0.005023822 0.00527764 0.004814243 0.005108428 0.0047711106 0.0049375575 0.0047019883 0.00481369 0.0045244815 0.0047998657 0.0045327763 0.0046284418 0.0044741603 0.0045842035 0.0043032896 0.00447969 0.0042319554 0.0044155447 0.004181634 0.004403932 0.0039764782 0.0043021836 0.003985879 0.0041418197 0.0039488296 0.0040627434 0.0038039486 0.0039842203 0.0037525215 0.0038835779 0.0036833992 0.0037464388 0.0036358428 0.003743121 0.003465525 0.0037254256 0.0034456179 0.0035882865 0.0033239622 0.0035871805 0.0033322568 0.0035329885 0.0032692172 0.0033776013 0.0032122603 0.0033626708 0.003023141 0.003216684 0.003079545 0.0031453497 0.0029070154 0.0032603694 0.002944065 0.0030319889 0.0028107967 0.0030751212 0.0027554987 0.00294683 0.0027002008 0.0028417637 0.0026769757 0.0028578 0.0026012175 0.0027278499 0.0025437076 0.0027322737 0.0024790089 0.0026576214 0.0024491479 0.002719002 0.0024673962 0.0024696083 0.0024104393 0.0024347706 0.0022710885 0.0024364295 0.002337446 0.002392744 0.002227956 0.002339105 0.0021300786 0.0022412275 0.0020957938 0.0021610453 0.0020974528 0.0020670388 0.001979668 0.0021660223 0.001985198 0.0020786515 0.0019470422 0.0019984695 0.001954231 0.0019614196 0.001817092 0.0018646482 0.001789443 0.0018452939 0.0017756184 0.0017534993 0.0016650225 0.0017789364 0.0016340556 0.0017120257 0.0016539629 0.0016534099 0.0015306483 0.00162189 0.0014808802 0.0015610623 0.0014714795 0.0015461318 0.0014642908 0.0015063173 0.0014266882 0.0015323072 0.0013050325 0.0014477014 0.0013160922 0.0013382114 0.0013055855 0.0013337876 0.0012276154 0.0012585822 0.0012193207 0.0012442048 0.0011689995 0.0012331451 0.0010960061 0.0011772942 0.0010290956 0.0010611684 0.0010694631 0.0010495558 0.00099094 0.001043473 0.00095665525 0.0010174831 0.0009444897 0.00093674794 0.00095057243 0.0009953638 0.0008615427 0.0009162877 0.00084384735 0.0008582248 0.0008361056 0.000852695 0.00078412547 0.0008051387 0.0010351783 0.0007631123 0.00071223814 0.0006928838 0.00065417524 0.0007255096 0.0006619169 0.0006823772 0.0006381388 0.0006348209 0.0005861587 0.0006071719 0.00054800307 0.0005690163 0.00053749647 0.000522013 0.00049325806 0.0005148243 0.00050763553 0.00048772828 0.0004567614 0.0004291124 0.00043298327 0.00032791708 0.00038653295 0.0003633078 0.00031575153 0.0003362118 0.0003129866 0.00029916211 0.00029031443 0.00024386414 0.00023446347 0.0002831257 0.00022340388 0.00020183767 0.00018856615 0.00015096352 0.00018580124 0.0039660055 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0010584499 4.702992e-06 3.8730523e-06 3.3197591e-06 4.979639e-06 4.702992e-06 5.2562855e-06 3.5964058e-06 6.3628718e-06 3.5964058e-06 4.979639e-06 6.916165e-06 4.4263456e-06 4.4263456e-06 7.1928116e-06 6.3628718e-06 0.0005081998 8.852691e-06 5.532932e-06 1.1065864e-06 6.3628718e-06 3.3197591e-06 1.0789217e-05 4.979639e-06 1.9365261e-06 2.2131728e-06 1.9365261e-06 2.4898195e-06 1.6598796e-06 2.2131728e-06 2.2131728e-06 2.766466e-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 0.0004584034 9.129338e-06 1.0789217e-05 7.7461045e-06 5.532932e-06 7.1928116e-06 6.916165e-06 2.9047893e-05 4.4263456e-06 8.299398e-07 2.766466e-06 2.766466e-06 1.9365261e-06 1.6598796e-06 3.3197591e-06 1.4108977e-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 0.0004138633 1.9365261e-06 8.852691e-06 5.8095784e-06 5.532932e-06 1.0512571e-05 1.1619157e-05 8.576045e-06 2.268502e-05 1.5215563e-05 1.715209e-05 1.32790365e-05 1.5215563e-05 1.1895804e-05 4.149699e-06 2.766466e-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 0.0003377855 9.959278e-06 1.466227e-05 1.0789217e-05 7.7461045e-06 1.2172451e-05 1.300239e-05 3.513412e-05 2.932454e-05 1.1065864e-05 1.2172451e-05 9.959278e-06 1.0789217e-05 8.022751e-06 1.2172451e-05 3.1814357e-05 0.00059645006 1.27257435e-05 2.3238314e-05 1.5215563e-05 1.466227e-05 6.390536e-05 2.1025142e-05 2.1578435e-05 0.00012421432 5.1456267e-05 1.4108977e-05 1.9918556e-05 2.7111368e-05 6.94383e-05 2.3238314e-05 3.4857472e-05 0.0008152775 5.0626328e-05 4.4263455e-05 4.5093395e-05 4.0390405e-05 4.1220344e-05 5.864908e-05 4.3710163e-05 0.00011342511 4.5923334e-05 3.6793997e-05 3.900717e-05 3.734729e-05 0.0001704143 5.864908e-05 5.8925725e-05 0.00076077814 4.896645e-05 5.394609e-05 5.28395e-05 4.979639e-05 5.28395e-05 6.335207e-05 5.0073035e-05 6.8055066e-05 5.69892e-05 5.920237e-05 5.9479018e-05 5.920237e-05 0.00013777001 6.390536e-05 6.252213e-05 0.21959902 0.14292338 0.11122936 0.090943694 0.07600008 0.063923344 0.05396407 0.045454696 0.037923545 0.0314478 0.025330039 0.019870972 0.014761309 0.010310619 0.0061589833 0.0020004315 0.00023459631 0.00014717599 0.000119787976 0.00010235924 9.32299e-05 7.801434e-05 6.52886e-05 6.11389e-05 4.5923334e-05 4.7859863e-05 3.651735e-05 2.9601186e-05 2.7388014e-05 1.9365261e-05 1.3555684e-05 1.134251e-05 0.0023315775 0.0021857847 0.0020521644 0.002337387 0.002025883 0.0023786074 0.002339047 0.0020742961 0.0022629693 0.0021874446 0.0020289263 0.0022095763 0.0020272662 0.002265459 0.0023019763 0.002119113 20299.0 5.8565445 118882.0 0.017773926 0.016714053 0.01704211 0.0167477 0.016478525 0.015342945 0.016411232 0.014846655 0.015965411 0.0146784205 0.015485944 0.014459716 0.014695244 0.014712067 0.014863478 0.013450312 0.014484951 0.0133914305 0.014207365 0.012928787 0.013904544 0.012668024 0.013921367 0.012196968 0.013946602 0.011936205 0.012752141 0.011751148 0.012785788 0.0115913255 0.012382026 0.011683854 0.012003499 0.0112464465 0.011927794 0.011128683 0.011372621 0.010514628 0.010952037 0.010337982 0.010834273 0.010136101 0.010851096 0.010102455 0.010363217 0.0097912215 0.010295924 0.009976279 0.010043573 0.009513635 0.010085631 0.009656634 0.009555694 0.00919399 0.009572517 0.008706112 0.009639811 0.008605172 0.009463165 0.008470585 0.009303343 0.00815094 0.00859676 0.0076462375 0.007923824 0.00820141 0.008394879 0.007848118 0.007907 0.0074443566 0.008007941 0.007839707 0.008083646 0.0068387142 0.0075537087 0.0069817128 0.0074780034 0.0073350044 0.0072508873 0.006889184 0.0075284736 0.006561128 0.0068555376 0.0068303025 0.0068387142 0.006535893 0.0074695917 0.0063760704 0.0065527163 0.0059134266 0.0064854226 0.0059470735 0.0062835417 0.00593025 0.0063256 0.005349843 6.517807 1.0 0.0 0.0 31.0 1808384.0 90112.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 1195581200.0 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 -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 7.0 10.0 4.0 0.0 4.0 0.0 65536.0 4096.0 4096.0 3.0 0.0 0.0 1.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -65536.0 0.0 11776.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3.0071106 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7.9874797 0.0 4.9739585 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4932.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -61600.0 0.0 12288.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 73.0 86016.0 5008.0 77824.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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: 0.12782802 0.0103765875 0.01299053 0.0030489473 0.012547704 0.0014790181 0.0038427098 0.00201471 0.0013030609 0.000964832 0.015034566 0.0010938674 0.000720447 0.00088271865 0.00090520206 0.00067450263 0.0006979636 0.0038691035 0.0018934951 0.0024712211 0.0015054117 0.0008230887 0.0038192489 0.0024399399 0.0009208427 0.0009716748 0.0009413711 0.0009736299 0.0010899572 0.001475108 0.0007663914 0.0024301645 0.003699989 0.0007390203 0.0016432448 0.0008485048 0.00052200636 0.0004780171 0.00069014326 0.0006138951 0.0061487267 0.00041447696 0.0009853604 0.00051907374 0.0011593625 0.0012170373 0.0012101945 0.0005386246 0.0013832191 0.0008661005 0.00057968125 0.009557409 0.00083775184 0.0008035379 0.0004418481 0.00044282564 0.0004369604 0.0006109625 0.0007263122 0.0004985454 0.0006862331 0.0006608171 0.0004907251 0.000561108 0.004745957 0.0010479229 0.0010293496 0.0016725711 0.0017625047 0.00092182023 0.00085437 0.00041838715 0.00046530907 0.0011368791 0.00048192724 0.00038417324 0.0006187828 0.001744909 0.00070676144 0.0006940534 0.0010215293 0.0007302224 0.0010127315 0.0019746309 0.0015142096 0.0006363786 0.0006813454 0.00039101602 0.00036559996 0.0003978588 0.0002003957 0.00021896897 0.00034604917 0.00023069944 0.00021603635 0.002724404 0.00030401495 0.0035377175 0.0015533111 0.0017908533 0.0016422672 0.00573425 0.012791111 0.001392017 0.00077225664 0.003274759 0.00032063315 0.0005835914 0.0029824746 0.0017028748 0.0024242993 0.010332598 0.004142815 0.0003079251 0.0060030734 0.004447807 0.0050695227 0.0022708254 0.0005581754 0.0008836962 0.0005914117 0.0009834053 0.0003616898 0.0069776806 0.00027175614 0.0011378566 0.0019052256 0.0003392064 0.020758063 0.0013929945 0.00030694756 0.00037928554 0.00025513794 0.00024047485 0.00027175614 0.00034116147 0.00021799143 0.0002297219 0.00038515078 0.00017791228 0.0003030374 0.0009472363 0.00020626094 0.00030988018 0.00018182244 0.00029228447 0.00019844063 0.00018377753 0.00016813689 0.00023949731 0.0002756663 0.00014174331 0.00014369839 0.01620175 0.00024829517 0.00022385667 0.00017888982 0.00017400213 0.00018768769 0.0002463401 0.00047215185 0.00019941817 0.0015278951 0.0002639358 0.00020723848 0.0002756663 0.00015836148 0.00036657753 0.0002121262 0.00022874436 0.00021603635 0.00020723848 0.000427185 0.00032356576 0.00029619463 0.00026980106 0.00023949731 0.00032063315 0.00018182244 0.00033529624 0.00026100318 0.00052396144 0.00025318286 0.0002365647 0.00047997216 0.00035582457 0.00033138608 0.00021603635 0.00019257539 0.00026980106 0.00027468876 0.00029619463 0.03056279 0.00023069944 0.00018182244 0.00018475507 0.00019941817 0.00015836148 0.00016031657 0.00026198072 0.00021017111 0.00025709302 0.00020430586 0.00017204705 0.17787416 0.00019453047 0.00018475507 0.00041154434 0.0008103807 0.00021701389 0.00017204705 0.0002492727 0.00022190159 0.00065495184 0.00017693474 0.00018671015 0.0002365647 0.00028935185 0.0002003957 0.00019453047 0.00032356576 0.0002590481 0.00025709302 0.00021799143 0.00034800425 0.00024242993 0.00022092405 0.00026002564 0.00020723848 0.0002003957 0.00016813689 0.00025611548 0.00021603635 0.0004369604 0.0003343187 0.0003685326 0.00028739678 0.000342139 0.00021994651 0.0003470267 0.0005386246 0.00030988018 0.0001808449 0.00026198072 0.00023069944 0.00023069944 0.00020919357 0.0002248342 0.00041643207 0.00047997216 0.00029619463 0.00022776682 0.00036559996 0.00024731763 0.0005757711 0.33565596 0.0013009417 0.0 0.0 9.295935e-06 1.2720754e-05 0.0 0.0 1.957039e-06 4.9415237e-05 1.7613353e-05 0.0 0.0 0.001983459 0.0 6.360377e-06 0.038702406 0.0010969205 4.403338e-06 4.8925976e-06 3.865152e-05 3.1312626e-05 2.4462988e-06 9.442714e-05 1.0763715e-05 6.702859e-05 0.00020451058 4.892598e-07 9.785196e-07 0.00857868 4.892598e-07 0.0 0.0048940657 0.0011972187 7.3388965e-06 1.3210014e-05 0.00020157502 7.1431925e-05 7.3388965e-06 0.00032731477 2.5930767e-05 0.00024267285 0.00046626455 0.0 0.0 0.016568292 0.0 2.4462988e-06 0.008925077 0.0009516103 1.2231494e-05 5.0883016e-05 0.00029698067 0.00023973729 2.3484468e-05 0.00053573947 9.393787e-05 0.0015044737 0.0010455481 0.0 0.0 0.018204378 0.0 0.0 0.027141197 0.0031537684 3.4737444e-05 3.914078e-05 0.0012578869 0.00024658692 1.5167053e-05 0.0016135788 3.0334106e-05 0.0021522536 0.0034517276 2.4462988e-06 1.957039e-06 0.05893232 0.0 0.0 0.11143283 0.0036816797 2.8377066e-05 8.317416e-06 0.0022403204 0.00022554875 3.914078e-06 0.0033416443 2.054891e-05 0.0042516673 0.0054249126 1.1742234e-05 1.8102612e-05 0.06511118 4.207634e-05 9.00238e-05 0.08884664 0.009436842 0.00018640797 0.00015264905 0.0019580177 0.0019325761 1.7124092e-05 0.0022246642 0.00012573977 0.0058236592 0.0027051172 2.6909287e-05 4.6968937e-05 0.023713931 4.6968937e-05 4.403338e-05 0.031718712 0.010377689 0.0005205724 0.0005068731 0.0012515265 0.003000141 0.0008508227 0.007211689 0.0032007375 0.004228183 0.0014731612 0.00015215979 0.00013063235 0.008381509 0.0001252505 0.00028915252 0.015414129 0.05961777 0.0057717976 0.0058965585 0.00280248 0.005989518 0.0049366313 0.019492598 0.014093128 0.00085424754 0.00086550054 0.00047653902 0.00040315004 0.0027168596 0.00038847225 0.0005802621 0.002368996 0.05937999 0.010681519 0.007540961 0.0039615366 0.0026253678 0.0025901413 0.0082929535 0.010790625 0.0029257734 0.0013073022 0.001913495 0.0012285312 0.0038240543 0.0013557388 0.0006042358 0.002220261 0.03103815 0.0065350425 0.0042981473 0.0027163702 0.0015700347 0.0016722899 0.0038886366 0.0047604977 0.0023885663 0.0008537583 0.0012598439 0.0009144265 0.0013934118 0.0008488657 0.0006101069 0.0033881238 0.0065966896 0.001212875 0.00084593013 0.0008464194 0.0008415268 0.0007598204 0.0014751182 0.0007965149 0.00052644353 0.00016047721 0.0002955129 0.00034737444 0.0006482692 0.00018200463 0.00021136022 0.0012877317 0.0027604036 0.0005230187 0.00047115717 0.00040021449 0.00037379446 0.00039042928 0.00075835263 0.00054258906 0.00021576356 0.00012671828 0.00013161088 0.00020597836 0.00015509535 0.00013992829 0.00022065616 0.00060032174 0.0021635068 0.0004183171 0.0004525653 0.00034737444 0.00028181364 0.00029844846 0.00056020246 0.00040902116 0.0003444389 0.0002759425 0.00027153917 0.0004980664 0.00042859156 0.0005332932 0.00066881813 0.002068101 0.00046626455 8.072786e-05 0.00012573977 0.00014775645 0.00014677794 9.589492e-05 0.00030725513 0.00019472539 6.9964146e-05 5.3818574e-05 5.2840056e-05 5.5286353e-05 4.5501158e-05 4.3544118e-05 4.647968e-05 7.1431925e-05 0.001911538 0.0010631615 0.0010108107 0.0011174693 0.0011052379 0.0010054288 0.0010112999 0.0011277437 0.0011027915 0.0008708824 0.0010602259 0.0009193191 0.0009711806 0.0009633525 0.0010841996 0.0017114307 3370.0 16.839762 56750.0 0.007136564 0.00056387665 0.009656387 0.0030837005 0.00037004406 0.00012334801 0.00017621146 0.0001938326 0.00014096916 8.810573e-05 0.00012334801 7.048458e-05 0.005339207 0.00037004406 0.013268722 0.00021145375 0.009162996 0.0054273126 0.00461674 0.12362996 0.0038414097 0.0047400882 0.0019735682 0.0031718062 0.001339207 0.0014801762 0.0001938326 0.002202643 0.0028546255 0.0047400882 0.0028722468 8.810573e-05 0.00049339206 0.004845815 0.0033127754 0.015259912 0.014414097 0.0036651983 0.0040352424 0.0023964758 0.0017092511 0.0072070486 0.00017621146 0.0027488987 0.0029603525 0.006748899 0.0032246695 0.002660793 0.006590308 0.0011629956 0.005814978 0.018414097 0.0071189427 0.0024845814 0.0038766519 0.0013744493 0.00021145375 0.00059911894 0.00012334801 8.810573e-05 0.00026431718 0.00015859031 0.00012334801 0.017004406 0.00063436123 0.036370043 0.014731278 0.018114537 0.016246697 0.07111894 0.1424141 0.01460793 0.0052863434 0.036792953 0.0007048458 0.004334802 0.031171806 0.017427312 0.029198239 0.03217621 0.009497797 0.00047577094 0.033762116 0.028845815 0.05645815 0.017057268 0.0039823786 0.007823789 0.0037180616 0.009814978 0.0019559471 0.00015859031 0.0002290749 7.048458e-05 7.048458e-05 0.0002290749 5.022826 1.0 0.0 1.0 1.0 1022976.0 1048576.0 1.0 0.0 1.0 1.0 1.0 0.0 0.0 0.0 1539887900.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 11.0 0.0 4.0 0.0 4.0 0.0 1019392.0 512.0 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 -1019392.0 0.0 2560.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.9473388 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.196699 0.0 3.7965887 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 -1019220.0 0.0 2256.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 83.0 1027320.0 2256.0 1032192.0 0.0 0.0 0.0 0.0 12.0 1040384.0 28.0 1027176.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 8.0 8192.0 0.0 0.0 72.0 8200.0


Input: 0.36521655 0.011415743 0.0043096333 0.0047045737 0.0044522244 0.006876276 0.0031942318 0.004914708 0.0040676035 0.0009803149 0.0013433597 0.0009728101 0.0011322872 0.0020703876 0.0030122404 0.0063331155 0.004213947 0.0012645593 0.0006491655 0.0007373469 0.00079081865 0.005017899 0.00041745466 0.0005394077 0.0018095956 0.0009512338 0.00040901176 0.0008245902 0.0004915646 0.00040244506 0.00038274497 0.00064541306 0.004999137 0.00040619748 0.00065667025 0.000672618 0.0055845114 0.00044935007 0.0002551633 0.00042964998 0.0015431751 0.00033490185 0.000252349 0.0011735635 0.00039212595 0.00040901176 0.00068199896 0.000747666 0.0027045433 0.00042214518 0.0005844365 0.004384681 0.00081239495 0.0004699883 0.00033208754 0.00032364464 0.0015009607 0.0010018912 0.00043246427 0.0019446821 0.00040525937 0.00054691255 0.00029925402 0.00081427116 0.0062402436 0.0065676407 0.0011594921 0.0018611911 0.0052824435 0.0049475413 0.0006125796 0.0007307802 0.029039836 0.0034784763 0.00033396375 0.0006144557 0.0045488486 0.0029540781 0.0005394077 0.00075048034 0.002251441 0.00030582072 0.0005197076 0.00084053795 0.0012476735 0.0013574313 0.0008846287 0.0012805071 0.0013686884 0.00029737782 0.00022232979 0.00054691255 0.0012739403 0.00075704703 0.00082365214 0.0013227216 0.0023302413 0.0012063971 0.00053190294 0.0012345401 0.0013311645 0.0025919713 0.0023818368 0.00057693175 0.0013339787 0.0017795764 0.000271111 0.00061633193 0.04528023 0.006884719 0.0013039595 0.0020797686 0.002150126 0.0002467204 0.0018433672 0.0014943939 0.0048724934 0.0026660813 0.0005544173 0.0006407226 0.0013048976 0.0005741174 0.00032927323 0.00040244506 0.0007204611 0.00086492853 0.00047374069 0.0022795838 0.007261835 0.0009746863 0.0004906265 0.005048856 0.001335855 0.006092024 0.000280492 0.0004465358 0.0014728176 0.0078096855 0.00090057636 0.020871796 0.00038837356 0.006971024 0.00035835436 0.0013743171 0.0016435519 0.043662943 0.0070939153 0.0029972307 0.00031144932 0.0007926948 0.0002514109 0.0002420299 0.00094748137 0.0002504728 0.00029456354 0.00019606297 0.00039587836 0.00034053045 0.00033114944 0.0011032061 0.00088838104 0.00029081112 0.00033490185 0.00044465958 0.00035366384 0.00068199896 0.0002870587 0.00032739702 0.000766428 0.00029081112 0.00031613983 0.00046529778 0.0006660513 0.0002570395 0.00029737782 0.00080019963 0.0009409147 0.0002551633 0.00019606297 0.00031989222 0.00028424442 0.000495317 0.0007457898 0.0031285647 0.0012908261 0.000672618 0.00087243336 0.00036867344 0.00033771613 0.0005910032 0.00063978444 0.0013733789 0.0053227814 0.0033612137 0.0013039595 0.0019127866 0.001551618 0.00042120708 0.0010966393 0.0019990918 0.0028302488 0.002102283 0.0007561089 0.0009043288 0.013879195 0.00040056885 0.00078706624 0.0020694495 0.0015356704 0.0009277813 0.0014868891 0.0005309648 0.00040994986 0.00036304485 0.00057505554 0.00062289863 0.0011341634 0.00056379836 0.00041088797 0.0009831293 0.00030488262 0.00031426363 0.0002514109 0.00095404807 0.001354617 0.00035272574 0.00033490185 0.00032552084 0.00064541306 0.00018292958 0.0002260822 0.00036961155 0.0039737932 0.0013311645 0.0004624835 0.0015197226 0.0012382925 0.00036398295 0.0002232679 0.0015975849 0.0020938402 0.0007607994 0.000504698 0.00040901176 0.00033021133 0.00019981537 0.0011866969 0.00065197976 0.0017148475 0.000841476 0.00091089547 0.00065010355 0.00056192215 0.0005544173 0.0038940548 0.116627455 0.00094745343 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.6340145e-06 0.0 0.0 0.0 4.695012e-06 0.0 2.347506e-06 1.4085036e-06 0.00725708 1.8310548e-05 1.2676533e-05 8.451022e-06 7.5120192e-06 1.2207031e-05 2.8639573e-05 4.225511e-06 2.347506e-05 2.347506e-06 2.8170073e-06 2.8639573e-05 1.6432543e-05 7.042518e-06 2.0188552e-05 0.00024226261 0.028648024 9.5308744e-05 5.587064e-05 5.493164e-05 8.920523e-05 4.319411e-05 7.93457e-05 3.1926083e-05 0.00011314979 9.014423e-05 2.0188552e-05 0.000112210786 0.000100473255 6.0096154e-05 0.00014225887 0.001994441 0.024704684 0.000112210786 9.108323e-05 7.1364186e-05 0.00016432542 9.2961236e-05 0.00014883188 5.117563e-05 0.0001554049 0.00013709435 3.6151592e-05 6.948618e-05 0.00011549729 5.3053634e-05 0.00013239933 0.0027104304 0.038964376 0.00020188552 0.00017887996 0.00013756385 0.0002727802 0.0001530574 0.00091646635 0.00020564153 0.0005615234 0.0008591872 7.418119e-05 0.00036902796 0.0003521259 0.0003084623 0.00038123498 0.0070251464 0.051772837 0.0005521334 0.0006230281 0.00031597432 0.0006272536 0.00036855845 0.002000075 0.0006150466 0.001183143 0.0021268404 0.00013380784 0.00045823317 0.00047607423 0.00034836988 0.0003549429 0.012082144 0.044759896 0.0003126878 0.00024836612 0.00017606295 0.00036480243 0.00016761193 0.0048612156 0.0004709097 0.0015085074 0.00565702 0.00036198544 0.0010521522 0.00024742715 0.0001591609 0.00032066932 0.0066392166 0.05072444 0.00025587814 0.0012338492 0.0011070839 0.0010817308 0.00037231445 0.012748366 0.001377047 0.0014995869 0.0110464245 0.00017324595 0.000965764 0.00021127555 0.0001572829 0.00030095028 0.0177063 0.061760068 0.0005385179 0.0013103778 0.0007366474 0.0012723482 0.0005925105 0.033906907 0.0018822303 0.0018118052 0.031642973 0.00042442908 0.0009446364 0.00052912784 0.000394381 0.0005460299 0.05113009 0.025585469 0.0018399752 0.00086153473 0.0012038011 0.0018859863 0.0016409067 0.0063899113 0.0025601902 0.0007798415 0.0031677247 0.00045494665 0.00089346076 0.00038686898 0.00041316106 0.0006371131 0.0070683407 0.015541429 0.0009333684 0.0011798565 0.0010413537 0.0020798903 0.001185021 0.003733004 0.001602877 0.0007122333 0.0012620193 0.000768104 0.0005357009 0.0012718787 0.00053006684 0.0005403959 0.0036212627 0.0023273174 0.00025071364 0.00024507963 0.00018498348 0.00049720175 0.00018686148 0.00042536808 0.00032113882 0.00051973783 0.00019014798 0.0010723408 0.00015024039 0.0008014385 0.00014507587 0.00018216646 0.0001924955 0.008393742 0.0010244516 0.00084181566 0.0010221042 0.0053109974 0.00068594125 0.00037560097 0.00085026666 0.0052199145 0.00048734224 0.00040001504 0.0006159856 0.0044414815 0.00071833684 0.0011216383 0.002144212 0.062175106 0.012874193 0.011469915 0.010343581 0.05513071 0.00920551 0.005575796 0.010850642 0.047129 0.0037663386 0.0029033953 0.0058119553 0.031091778 0.0075096716 0.009266545 0.01874202 0.0006713867 0.00013803336 0.00023099458 0.0001563439 0.0005371094 0.00018545297 0.00012066181 0.00017277645 0.00051926833 8.310171e-05 7.558969e-05 7.418119e-05 0.00029625525 0.00013615534 0.0001544659 0.00029437724 0.0006929838 0.00040142352 0.00039860653 0.00041738656 0.00038546047 0.0003948505 0.00044884314 0.00041034404 0.00038123498 0.00037841796 0.00037700948 0.0004277156 0.00037794845 0.0004286546 0.00039954553 0.00041034404 1825.0 11.612603 21193.0 0.02118624 0.0016043033 0.0017930449 0.0005190393 0.02406455 0.0004718539 0.00023592696 0.0011324494 0.002028972 0.0009437078 0.0004718539 0.0013683763 0.0006134101 0.0010380786 0.011182938 0.001085264 0.009389893 0.0024064549 0.0020761571 0.007502477 0.0015571179 0.0009437078 0.0009908932 0.0007077809 0.0042938706 0.009437079 0.0007549663 0.004954466 0.0028311235 0.0017458595 0.0015571179 0.01075827 0.036804605 0.066059545 0.003963573 0.016845185 0.016231775 0.011937904 0.0041523143 0.0043882416 0.028924646 0.0103336 0.00023592696 0.0013683763 0.012504129 0.0048129098 0.0019817865 0.0038220168 0.0071721794 0.0014155618 0.004860095 0.012315387 0.016137404 0.013023168 0.026895674 0.029349314 0.0024064549 0.0005190393 0.000849337 0.003255792 0.0063228426 0.008115888 0.0153352525 0.021941207 0.0037748313 0.028311234 0.005898174 0.019015713 0.015476808 0.058321144 0.030528948 0.0074081062 0.0070778085 0.026376633 0.0018874157 0.0031142358 0.029160572 0.0109470105 0.027367527 0.031283915 0.012740056 0.0007077809 0.029349314 0.022932101 0.044071157 0.017411409 0.0053319493 0.0057566175 0.008965224 0.00542632 0.0017930449 0.0015571179 0.0030198651 0.0007549663 0.0006134101 0.007691219 5.729476 0.0 1.0 0.0 15.0 1065984.0 1081344.0 1.0 0.0 330.0 1.0 1.0 0.0 1.0 0.0 3277406700.0 0.0 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 0.0 -1.0 0.0 1.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 10.0 0.0 14.0 13.0 10.0 0.0 10.0 0.0 367104.0 1024.0 4096.0 7.0 0.0 0.0 1.0 2.0 0.0 0.0 0.0 0.0 0.0 -3072.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 130560.0 0.0 0.0 0.0 0.0 11776.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -15360.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -367104.0 0.0 536064.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.4298563 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4.6578536 0.0 0.0 0.0 0.0 5.684558 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3.8648574 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.3854575 0.0 0.25212038 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2872.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 130066.0 0.0 0.0 0.0 0.0 11352.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -18336.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -366716.0 0.0 536320.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 -1.0 2.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -2.0 -2.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 2.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 2.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 1.0 0.0 0.0 0.0 -2.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 -1.0 0.0 0.0 0.0 0.0 1.0 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 -1.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 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 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 -1.0 1.0 1.0 0.0 -1.0 1.0 0.0 -1.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 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 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 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 -1.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -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 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 2.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 -1.0 -1.0 -1.0 1.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 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 1.0 1.0 0.0 -1.0 1.0 1.0 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 1.0 2.0 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 1.0 1.0 0.0 1.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 2.0 0.0 0.0 -1.0 0.0 -1.0 1.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 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 1.0 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 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 1.0 1.0 0.0 2.0 0.0 1.0 1.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 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 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 -2.0 -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 2.0 0.0 -1.0 0.0 0.0 0.0 2.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 1.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 1.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 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 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 -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 -1.0 0.0 1.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 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 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 2.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 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 -1.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 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 1.0 0.0 0.0 -1.0 1.0 0.0 -1.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 260.0 494040.0 536416.0 540672.0 11352.0 524288.0 0.0 0.0 2872.0 1077248.0 84.0 441344.0 0.0 0.0 0.0 0.0 40.0 380360.0 264.0 380096.0 0.0 0.0 2736.0 380400.0 160.0 493512.0 0.0 0.0