Input: 0.056679133 0.008299989 0.0061657056 0.005653105 0.0057545896 0.0049654953 0.0042002187 0.005422176 0.0050514466 0.0056272163 0.0037476805 0.0044663567 0.0049530687 0.0031708751 0.0043286276 0.004643437 0.005031771 0.0037570004 0.004926144 0.0041567255 0.0043596947 0.0031833018 0.004111161 0.0038408805 0.005080442 0.0033448488 0.0031615552 0.002934768 0.00415569 0.0034370134 0.003778747 0.0037922093 0.0061708833 0.0038222405 0.0034887912 0.0030186484 0.004883686 0.0041681165 0.0038388094 0.0037217913 0.004725246 0.0038947295 0.003332422 0.003094244 0.004362801 0.003720756 0.003720756 0.003587169 0.005522625 0.0039506494 0.0031014928 0.002893346 0.0036751914 0.0030735328 0.0026914123 0.002858137 0.0041826144 0.0033086042 0.0035271067 0.0033541687 0.0039951783 0.0032278309 0.0035105378 0.0034535823 0.0065913196 0.0039537563 0.0036172003 0.0032288663 0.0041536186 0.003218511 0.0035416046 0.0030756039 0.0049934555 0.0037735694 0.0037052226 0.0035788845 0.0041277297 0.0031273817 0.003559209 0.003466009 0.0051570735 0.0036265203 0.0036596581 0.0033334575 0.003921654 0.003376951 0.0033614177 0.0035374623 0.0046382593 0.0036430892 0.0038015293 0.00350536 0.0041028764 0.0033893776 0.0036865824 0.0037891027 0.0059182076 0.0036285913 0.0033396708 0.0029461593 0.004009676 0.0030621416 0.003271324 0.0030393593 0.0049727443 0.0031708751 0.003206084 0.0030486796 0.0035830268 0.0028384614 0.003096315 0.0031864084 0.004505708 0.0032806443 0.003220582 0.003138773 0.0038968006 0.0033375998 0.0032909997 0.0036285913 0.004617548 0.003293071 0.0034742933 0.0031625908 0.0040376363 0.003187444 0.0034742933 0.0033396708 0.008643793 0.004596837 0.004014854 0.003526071 0.004366943 0.003434942 0.0030155417 0.0033893776 0.004533668 0.0038284538 0.002965835 0.0031905507 0.0037280049 0.0028011813 0.0028519237 0.002977226 0.0052388823 0.0032029774 0.0034981112 0.0030352173 0.0036586225 0.0031791597 0.0033148176 0.003267182 0.004552308 0.002839497 0.003045573 0.002703839 0.0035136444 0.0032309375 0.0029896528 0.0031491285 0.0050048465 0.0034090532 0.003271324 0.002792897 0.0037797827 0.003021755 0.0030559283 0.0031822664 0.004141192 0.0029979371 0.003124275 0.0030176127 0.0036461959 0.0028467458 0.0029119859 0.003045573 0.0046682903 0.0031211684 0.0038377738 0.0028591726 0.0035674935 0.0031491285 0.0029937949 0.0031253106 0.004250961 0.0031449862 0.0033375998 0.003180195 0.0036513736 0.003194693 0.0033251732 0.003360382 0.0067228354 0.0040635252 0.003730076 0.0033375998 0.004112196 0.0032557908 0.003297213 0.0032267952 0.00433277 0.003332422 0.0031170263 0.0030756039 0.0036399825 0.0029958661 0.0030797462 0.0027960036 0.00424889 0.0032702887 0.0030921728 0.0029969015 0.0037093647 0.0030196838 0.0029409816 0.002949266 0.0039786096 0.003112884 0.0027359412 0.00264067 0.0035343557 0.002951337 0.0035747422 0.0028850615 0.0049551395 0.0032402575 0.0033914489 0.002977226 0.0038212049 0.0030745685 0.003196764 0.0029109505 0.0044415034 0.00545842 0.0034711866 0.0031335952 0.0037839247 0.0030724972 0.0032454352 0.0031936574 0.0046123704 0.0033179242 0.0034245865 0.0030445373 0.0037445738 0.0030911374 0.003313782 0.0032402575 0.0043503745 0.003031075 0.003187444 0.0028643503 0.004016925 0.003094244 0.00422093 0.004515028 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 0.004581654 0.0002928651 0.00027109458 0.00027057625 0.00029960356 0.0002405122 0.00033174097 0.00030737874 0.00033122263 0.00035091976 0.00032811257 0.0003514381 0.000520937 0.0001534302 0.00018401258 0.000738642 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 0.09917137 0.062012754 0.0624378 0.05532351 0.06060182 0.05952729 0.05498762 0.054459427 0.06046135 0.053197257 0.052145015 0.05297644 0.056426547 0.05056406 0.05666654 0.053839486 4022.0 5.704873 22945.0 0.017258663 0.010459796 0.009413816 0.008672914 0.013423404 0.012464589 0.011854434 0.011505774 0.012551754 0.009718893 0.008455001 0.008629331 0.013859228 0.01054696 0.011810852 0.009893223 0.016779255 0.011854434 0.008716496 0.0074961865 0.009806058 0.008498584 0.007844847 0.008324253 0.010285465 0.008411419 0.009588146 0.008890826 0.011505774 0.008977991 0.009675311 0.009195903 0.017999563 0.01089562 0.010329048 0.009108738 0.010808455 0.008890826 0.010677707 0.008324253 0.014207888 0.0115929395 0.009762475 0.008977991 0.01141861 0.009370233 0.011636522 0.009588146 0.01477446 0.009631728 0.009936806 0.0092394855 0.012115929 0.009326651 0.009631728 0.009762475 0.013684899 0.009283069 0.010503378 0.0095445635 0.011157115 0.009849641 0.01037263 0.010677707 0.017955981 0.010982785 0.009718893 0.008193506 0.013074744 0.008280671 0.009370233 0.0083678365 0.015428198 0.009283069 0.008890826 0.008716496 0.011331445 0.007975594 0.009936806 0.007844847 0.013205491 0.007932011 0.008716496 0.008803661 0.011505774 0.009457398 0.008324253 0.007932011 0.010939202 0.008890826 0.011898017 0.008585748 0.011287862 0.009021574 0.009936806 0.008760079 6.554707 0.0 0.0 0.0 14.0 965664.0 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: 0.14190978 0.008598416 0.0041703926 0.003411126 0.0062178117 0.0039338185 0.0020214082 0.0019532847 0.007854013 0.0015049085 0.0016956542 0.0014999541 0.0045568384 0.0013674231 0.0012262218 0.0038756041 0.006141018 0.0014999541 0.0011828706 0.0008930363 0.0024623526 0.0019755797 0.00076545967 0.00082367426 0.0023000948 0.0007530736 0.00082862866 0.00070972234 0.0016126675 0.00060320203 0.00059329317 0.00056480523 0.0038780815 0.00058586156 0.00065150775 0.00054251024 0.0041518137 0.0013166402 0.00046447795 0.0005610894 0.0011828706 0.00065274636 0.0005833843 0.00094258063 0.0011048382 0.002340969 0.0006762799 0.0005177381 0.0054734084 0.0026952107 0.003035828 0.010124381 0.0031832224 0.0019074562 0.0025787817 0.0016163833 0.003724494 0.0019780567 0.00071467675 0.0014826136 0.0016671662 0.00097602303 0.00046571658 0.0005288856 0.0117779225 0.003930103 0.0049036485 0.008831275 0.0038706497 0.032575388 0.0032699248 0.0027100742 0.0033851154 0.0035498503 0.0021898588 0.0023558321 0.0027113126 0.0043896264 0.0011605757 0.001532158 0.009064132 0.002145269 0.0020573277 0.0097614685 0.003206756 0.013845159 0.0032240963 0.002096963 0.0019272739 0.0065175546 0.0027435166 0.0032612546 0.001566839 0.0046398253 0.0023793657 0.0036068263 0.005768197 0.004423069 0.0017179492 0.0032513458 0.010230902 0.0061397795 0.003952398 0.0015631232 0.008812695 0.0042397548 0.003669995 0.0014008655 0.0044775675 0.0017662549 0.004425546 0.0040341457 0.004141905 0.0016993701 0.0048677293 0.0038842743 0.011137562 0.00557869 0.0017414828 0.0010936907 0.0037901402 0.0012646187 0.0005313628 0.00059081597 0.0016547801 0.002520567 0.0010639642 0.0008756958 0.0052492204 0.001159337 0.001089975 0.009072803 0.0031250077 0.0032302893 0.0010354762 0.00061930396 0.0026654843 0.0152051505 0.0022356873 0.05178372 0.0011977338 0.011012463 0.00085835526 0.00068123435 0.0026592913 0.00044466023 0.0007283015 0.00064655335 0.001124656 0.0009376262 0.0015135788 0.00056852103 0.0011754389 0.00058957736 0.0005003976 0.00071343814 0.0009574439 0.00047686405 0.00046571658 0.0004198881 0.0008979907 0.0033330938 0.00046695519 0.0025540094 0.0014256377 0.0008187198 0.00056480523 0.0004533305 0.0010478623 0.00045828492 0.00051030645 0.00048801152 0.0008484464 0.0004508533 0.00074316474 0.0006589394 0.0013265491 0.00068618875 0.0017328125 0.00053755584 0.0008794116 0.0006713255 0.00071343814 0.0015817023 0.0031547344 0.0025379076 0.0046571656 0.00082491286 0.0010020338 0.00048057985 0.00085463945 0.00071591535 0.012013258 0.0011506667 0.002290186 0.010363433 0.0043636155 0.0010602484 0.0035622364 0.0033727293 0.0018727751 0.0017674934 0.0009846933 0.0013042542 0.0016845068 0.0008942749 0.0009933636 0.00094381924 0.0028785248 0.0011519054 0.002978852 0.0013550371 0.0018157992 0.00076917553 0.0016064744 0.0008769344 0.0033727293 0.00065522356 0.0010874977 0.0017897884 0.0014987156 0.0007196312 0.0005635666 0.000843492 0.0024425348 0.0006589394 0.0008794116 0.0009921249 0.0024363417 0.002435103 0.0005511805 0.000694859 0.027648205 0.0060344976 0.0010949294 0.0059081595 0.006542327 0.0010441465 0.00068123435 0.0007555508 0.007253288 0.0009785002 0.001819515 0.00092028565 0.009150835 0.002173757 0.004102269 0.0025973609 0.010082268 0.003058123 0.0030779405 0.0036179738 0.014910362 0.004001942 0.004307878 0.06903381 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0018296588 0.0 0.0 0.001134773 0.00084751233 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.009102382 0.0 0.0 0.0056062383 0.004351101 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0017266667 0.0 0.0 0.001864403 0.0014915224 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0005515655 3.7226016e-06 1.7992576e-05 6.700683e-05 0.00014890407 7.56929e-05 6.204336e-06 7.445203e-06 1.5510841e-05 0.0 0.0 1.8613008e-06 8.065637e-06 3.102168e-06 4.9634687e-06 0.00035861062 0.006099483 0.00020598396 0.00021342916 0.00055094506 0.001911556 0.00048828125 0.002448231 0.0010652845 0.00019481615 0.000100510246 9.244461e-05 7.5072465e-05 0.0006719296 0.0003803258 0.0004008001 0.0028899799 0.013328775 0.00064152834 0.0009461613 0.002082175 0.004130847 0.0036103032 0.006969331 0.003210744 0.0004541574 0.00023576478 0.00031083723 0.0003306911 0.002083416 0.0011049922 0.0011223644 0.008993185 0.020780183 0.001303531 0.0012340425 0.002079073 0.0073198755 0.0025623909 0.0066944784 0.003257897 0.0023930124 0.0009753216 0.0009771829 0.001336414 0.0040601175 0.0026511129 0.0026753098 0.009585699 0.020234821 0.0015628722 0.001252035 0.0022689258 0.009433073 0.004046468 0.005889156 0.003409903 0.0058153244 0.0014145887 0.001780024 0.0023067722 0.0038653014 0.0017738197 0.004047709 0.0096793845 0.07409777 0.009828289 0.007288854 0.010092594 0.04211007 0.030638253 0.021328647 0.013968443 0.051533215 0.005297262 0.0060622566 0.009153257 0.016806927 0.0070816292 0.0274728 0.06114063 0.06032786 0.010141607 0.00912906 0.011685247 0.028152796 0.030641975 0.017691664 0.014627343 0.04987852 0.005892258 0.006490356 0.009161322 0.021123903 0.010950653 0.02511267 0.048586156 0.00023390347 4.777339e-05 8.6240274e-05 5.2116422e-05 9.058331e-05 9.9269375e-05 4.343035e-05 6.576596e-05 0.00013463409 2.916038e-05 3.3503416e-05 2.916038e-05 8.437897e-05 6.018206e-05 7.3211166e-05 0.000107335014 5347.0 16.324293 87286.0 0.0053616846 0.0001260225 0.00054991635 9.165273e-05 0.0032994982 0.00056137296 0.0001260225 0.00017184886 0.0003895241 0.00040098067 0.0007217652 0.00057282957 0.00049263344 0.014034324 0.0011112894 0.00045826365 0.022626767 0.016428752 0.02339436 0.011995051 0.019292898 0.013621886 0.020026121 0.010803565 0.022855898 0.013770822 0.00081341795 0.00050409 0.00093944045 0.0005270032 0.00011456591 0.00013747909 0.0013404211 0.008397682 0.0072863917 0.014286369 0.0070228903 0.015878836 0.004651376 0.00302454 0.004846138 0.017322365 0.0024173406 0.003929611 0.006713562 0.0065646265 0.0043649613 0.00907362 0.01270536 0.002577733 0.005888688 0.020152144 0.012865752 0.006163646 0.0058084917 0.0034369773 0.0027381252 0.0052700317 0.0015008134 0.002944344 0.0011456591 0.0027495818 0.0028641478 0.02184772 0.000252045 0.030107921 0.012270009 0.02610957 0.03426666 0.051749423 0.011101437 0.009944321 0.026991729 0.033877138 0.006851041 0.0066791927 0.03229613 0.01169718 0.036844395 0.033235572 0.027175033 0.0025089935 0.037382856 0.028057192 0.0489311 0.010837935 0.009818299 0.0054189675 0.022202874 0.006576083 0.0010310932 0.00028641478 0.0005384598 0.000252045 0.00029787136 0.00030932797 5.7463083 0.0 2.0 14.0 4.0 807358.0 3952640.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 708992500.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 2.0 -1.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 25.0 4.0 0.0 4.0 0.0 1267200.0 1024.0 4096.0 8.0 2.0 0.0 1.0 4.0 0.0 0.0 0.0 0.0 0.0 -84992.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 512.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -859648.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1267200.0 0.0 0.0 0.0 0.0 0.0 0.0 -12800.0 1672192.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.5805507 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -48.0 0.0 0.0 -84528.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 24.0 0.0 31073.0 0.0 0.0 0.0 0.0 0.0 -859536.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1266868.0 0.0 0.0 0.0 0.0 0.0 0.0 -12546.0 1672153.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 12546.0 2166784.0 1672153.0 2277376.0 0.0 0.0 8384.0 3898368.0 84528.0 2191360.0 0.0 0.0 0.0 0.0 0.0 0.0 24.0 2187264.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0


Input: 0.08131048 0.09708053 0.012481548 0.014958176 0.014269313 0.006445793 0.014810562 0.0037641462 0.011989503 0.0034443168 0.003239298 0.0027636543 0.008668197 0.003641135 0.0024274234 0.00597835 0.017656224 0.0012711169 0.0015007381 0.0036657373 0.0054699033 0.0025012302 0.0019517796 0.0018123668 0.0035591274 0.0013039199 0.0012055109 0.001435132 0.002837461 0.0027308513 0.0016237494 0.0013121207 0.00847958 0.0011973102 0.0014433328 0.0015827456 0.018714122 0.0015991471 0.0012465147 0.0011563064 0.0021649993 0.0012629161 0.0017221584 0.0017549614 0.0016811547 0.001771363 0.002739052 0.0019517796 0.012194522 0.0052566836 0.002443825 0.006019354 0.0022470066 0.0022142038 0.0017467607 0.0018615712 0.0024684272 0.0030834838 0.0016483517 0.0038871577 0.0018779727 0.0021485977 0.0012055109 0.0011563064 0.0030260785 0.003173692 0.0017549614 0.0031572904 0.008471379 0.0043217978 0.0038871577 0.002230605 0.0033869117 0.0020255863 0.0010660981 0.0011317041 0.005068066 0.0024356241 0.0037477447 0.0012629161 0.0107757915 0.0064621945 0.006240774 0.005248483 0.0044284076 0.0072986716 0.008430376 0.0057651303 0.0010578973 0.004535017 0.0014023291 0.0033295064 0.0015581433 0.0036821389 0.005420699 0.004469411 0.0014925373 0.004010169 0.0013285222 0.002976874 0.0024602264 0.0050926683 0.0025996391 0.0016319501 0.003173692 0.005945547 0.0037969493 0.0012957192 0.0030014762 0.001902575 0.0031162866 0.00423979 0.0022798097 0.0008118747 0.0056503196 0.003608332 0.015015582 0.012005905 0.0022880104 0.0028866655 0.001467935 0.0020993932 0.0011563064 0.0009266852 0.0021157947 0.0020255863 0.0012547155 0.0011235033 0.0024930295 0.0024110219 0.0030260785 0.016475316 0.0021896015 0.00913564 0.0028210594 0.0012793177 0.0021649993 0.007905527 0.0018615712 0.03272101 0.0011235033 0.0066590128 0.0010742989 0.0010742989 0.0024520257 0.001369526 0.00069706416 0.0008118747 0.0009184845 0.0015253404 0.0007134656 0.00079547317 0.0007134656 0.0007626702 0.000836477 0.00062325737 0.000836477 0.0008856815 0.0007134656 0.000902083 0.001369526 0.001467935 0.00080367393 0.0016155486 0.0009184845 0.0010660981 0.0007872724 0.00082007545 0.00085287844 0.0007216664 0.00079547317 0.0009922913 0.0010660981 0.0006724619 0.0006642611 0.00069706416 0.001000492 0.0010168935 0.0009758898 0.0013531245 0.000902083 0.00091028376 0.0019517796 0.0010168935 0.003936362 0.000836477 0.0009266852 0.0009184845 0.0009512875 0.00082007545 0.0011645071 0.0009840905 0.008979826 0.001968181 0.0012547155 0.009512875 0.010201738 0.0012055109 0.0019435788 0.0046826308 0.0017959652 0.0019435788 0.0009922913 0.00091028376 0.025282927 0.00089388224 0.0007626702 0.0009594883 0.0017959652 0.001336723 0.0014843366 0.0012957192 0.00094308675 0.0008774807 0.0012137117 0.000836477 0.0015909463 0.000934886 0.00077087095 0.0013941283 0.001000492 0.0008610792 0.0010086928 0.00080367393 0.0019763818 0.0010824996 0.00082007545 0.0009594883 0.0016647532 0.00080367393 0.0008774807 0.00077087095 0.013432836 0.002402821 0.00096768903 0.0037887485 0.0025176315 0.0013039199 0.0010907004 0.0010907004 0.0024602264 0.0011645071 0.0010086928 0.0014597343 0.0015991471 0.0008282762 0.0023864196 0.0021814008 0.0033377071 0.0019845825 0.0011809086 0.0012055109 0.0031900934 0.0015171396 0.0026242414 0.023864195 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0058055813 0.00024414062 0.00021103681 6.620763e-05 0.00015724312 0.00048000528 6.620763e-05 0.00017379502 0.00041793563 9.103549e-05 8.275953e-06 0.0001241393 0.00034345206 8.275953e-06 0.000115863346 0.00016138109 0.060807567 0.0027269267 0.0025986494 0.0010303562 0.0020193327 0.004266254 0.00089794095 0.0026069253 0.005321438 0.0009931144 0.00021517479 0.0016386388 0.0043531517 0.00029379636 0.001597259 0.0018538135 0.035801776 0.001762778 0.0021145062 0.00084414723 0.0015476033 0.0030827927 0.0005958686 0.0017917439 0.004071769 0.00057517877 0.00017379502 0.0009889764 0.0029462394 0.0001944849 0.0013903602 0.0014400159 0.021865068 0.0015600172 0.0019076073 0.0007903536 0.0013862222 0.0030827927 0.00052552304 0.0010179422 0.0038193525 0.00033517613 0.00013655324 0.00067862816 0.00284279 0.00016965704 0.0011338056 0.0011213917 0.011714612 0.0009062169 0.0011917372 0.0004262116 0.0009848385 0.002131058 0.0001241393 0.0009186308 0.002660719 0.00034345206 5.7931673e-05 0.00047586733 0.0018827794 0.00020689884 0.00073655986 0.0006620763 0.0057890294 0.0014689817 0.0016551907 0.00061242055 0.0014276019 0.0034096928 0.00024414062 0.00082759536 0.004067631 0.0002524166 0.00014896716 0.00016138109 0.0037945246 0.00020689884 0.0008482852 0.0005089711 0.06524762 0.016982256 0.016100867 0.011706336 0.017747782 0.035512116 0.0059421347 0.014727059 0.044491526 0.002304853 0.0019200211 0.0027269267 0.03809835 0.0041752183 0.011582197 0.015819484 0.049767446 0.015753277 0.013407044 0.019866426 0.013688426 0.017888473 0.020938162 0.02035057 0.021782309 0.004320048 0.0055986824 0.0058510993 0.012947729 0.0060083424 0.011540817 0.023003012 0.029052734 0.010601496 0.01132978 0.016113281 0.01137116 0.010551841 0.018215373 0.014230502 0.008375265 0.0062690345 0.007080078 0.0069973185 0.006538003 0.0068814554 0.0067076604 0.007651119 708.0 15.426554 10922.0 0.06070317 0.002014283 0.0021973997 0.002288958 0.011536349 0.0029298663 0.0016480498 0.003112983 0.0035707746 0.0030214246 0.0014649332 0.0008240249 0.003937008 0.0072331075 0.016205823 0.008698041 0.04587072 0.032594763 0.01474089 0.01144479 0.006225966 0.006225966 0.0043947995 0.006592199 0.007049991 0.0095220655 0.0027467497 0.0021058414 0.0014649332 0.00064090826 0.0010986999 0.00054934993 0.0032960996 0.01858634 0.0034792162 0.019868156 0.011170115 0.0046694744 0.002288958 0.005401941 0.002014283 0.004486358 0.0011902582 0.002014283 0.0054934993 0.0021973997 0.0075077824 0.0021058414 0.013733748 0.008606482 0.012726607 0.018494781 0.01089544 0.004303241 0.011536349 0.0095220655 0.0008240249 0.0037538912 0.0057681743 0.0047610328 0.0009155832 0.005676616 0.0046694744 0.0052188244 0.00064090826 0.033601906 0.0047610328 0.022798022 0.012726607 0.042391505 0.011261674 0.01034609 0.011170115 0.055942137 0.0037538912 0.002563633 0.01858634 0.013001282 0.025819447 0.03552463 0.0077824574 0.00054934993 0.044497345 0.026826588 0.06390771 0.02179088 0.0058597326 0.006775316 0.0015564915 0.008972716 0.0015564915 0.00027467497 0.0015564915 0.0004577916 0.0003662333 0.00054934993 5.721817 0.0 25.0 0.0 3.0 121940.0 430080.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1347455200.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 81408.0 1024.0 4096.0 5.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -15360.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 293376.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -25088.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -81408.0 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 7.4908447 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.1082726 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -15304.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 292928.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -27708.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -81252.0 0.0 776.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 80.0 378864.0 100.0 376908.0 776.0 409600.0 0.0 0.0 0.0 0.0 13148.0 413696.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 376144.0 0.0 0.0 332.0 86016.0 0.0 0.0 0.0 0.0


Input: 0.022522027 0.004099817 0.0035567705 0.0038353128 0.0036033173 0.0048172297 0.0032737951 0.0036639022 0.0043318127 0.0037991097 0.00442269 0.003013724 0.0031023845 0.004130848 0.0038234913 0.0042172926 0.0043532387 0.0046613347 0.004765511 0.0045054397 0.0042010383 0.005228763 0.0034090027 0.003155581 0.00400894 0.0043643215 0.004807625 0.004799498 0.0035338665 0.0038042816 0.005201426 0.0037555182 0.0043731877 0.005825006 0.0055760173 0.004503962 0.0045098728 0.0045542032 0.00404071 0.0037865494 0.004714531 0.004164835 0.004558636 0.0038515672 0.003503574 0.003952049 0.0048778146 0.0036062726 0.005448937 0.0061663496 0.0050758235 0.004195866 0.0036631634 0.006513604 0.0040879957 0.0036033173 0.0039838194 0.0056528565 0.0053322003 0.0036520807 0.0037023218 0.0042039934 0.005296736 0.0034178689 0.0037540405 0.0033048266 0.0039003307 0.004062875 0.004662812 0.0036387816 0.00341713 0.0042172926 0.0028726058 0.0036616856 0.004132326 0.0034149135 0.004263839 0.0034784535 0.0039801253 0.0034777147 0.003063965 0.0030935185 0.0038286631 0.0033498956 0.0032390698 0.0038907258 0.0030713533 0.0032420252 0.0029974694 0.004055487 0.0031585363 0.0029575722 0.002926541 0.003587063 0.0041175494 0.0035752414 0.0036897615 0.0038958977 0.003815364 0.0041020336 0.0035951901 0.004834962 0.0056713275 0.0036587303 0.0034016143 0.00425719 0.0037555182 0.0037436967 0.0034555497 0.0041360203 0.004962781 0.0037340918 0.0038109312 0.003963132 0.004678328 0.0037318754 0.0045896675 0.0047536897 0.004155969 0.003700844 0.0038471343 0.0045276047 0.0036978887 0.0034008755 0.0036949334 0.0037666007 0.0049960287 0.003518351 0.0033321634 0.0033860987 0.0040480983 0.0033779715 0.0035634201 0.0033868377 0.0043488056 0.0027351817 0.002761041 0.0035301724 0.003999335 0.0031437597 0.0026753356 0.0037798998 0.003503574 0.0041995603 0.0028038938 0.0031570587 0.00386265 0.003742958 0.0035449492 0.003545688 0.0032412864 0.003963132 0.0037348308 0.0032686233 0.0041714846 0.0033196032 0.0028201481 0.0034570273 0.003481409 0.003058793 0.0040347995 0.0045061787 0.003962393 0.0029154583 0.0033661502 0.003408264 0.004178873 0.0032309426 0.0040983395 0.0047898926 0.003797632 0.0036144 0.0035900183 0.00441604 0.0043303347 0.0038582168 0.0032575408 0.004728569 0.0043185134 0.0049243616 0.004233547 0.003623266 0.0032545854 0.0028881214 0.0032294649 0.0039084577 0.0040613976 0.0029088089 0.0041862614 0.0038766877 0.0034474223 0.0030676592 0.0030314561 0.0037592123 0.0036838509 0.0043103863 0.0033875764 0.0038427012 0.0037326142 0.0033225587 0.0032405474 0.0040806076 0.003476976 0.0038427012 0.003173313 0.0038220137 0.0038087147 0.0036402594 0.0027736013 0.0044736695 0.0032723176 0.0042431518 0.0033196032 0.0046073995 0.004014112 0.0031718356 0.0032132105 0.0041205045 0.0037710338 0.0028903377 0.003554554 0.0040421877 0.0034282126 0.004229853 0.0026664697 0.0032102552 0.0032774894 0.0033040876 0.0029184136 0.0032479358 0.0037880272 0.0029501838 0.0046125716 0.004370971 0.0038515672 0.0031533644 0.0029620053 0.004045882 0.003879643 0.003091302 0.0028918155 0.0035220452 0.0035124402 0.003952788 0.005133453 0.0031267663 0.0036794178 0.004315558 0.0034459447 0.004564547 0.0037193152 0.003293005 0.003550121 0.0026539094 0.0031821793 0.0027854226 0.0045454544 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00073168206 1.8495502e-06 1.4796401e-06 3.6991003e-07 7.3982005e-07 2.5893703e-06 2.5893703e-06 2.2194602e-06 2.2194602e-06 1.4796401e-06 2.2194602e-06 1.8495502e-06 2.5893703e-06 7.3982005e-07 1.8495502e-06 1.1097301e-06 0.0021110766 1.0727391e-05 1.1837121e-05 3.6991005e-06 1.3316761e-05 6.6583807e-06 1.8125593e-05 9.247751e-06 9.617661e-06 3.3291903e-06 1.0357481e-05 8.138021e-06 6.6583807e-06 9.987571e-06 1.5166312e-05 2.4783973e-05 0.000674346 6.2884706e-06 4.8088305e-06 2.9592802e-06 4.0690106e-06 4.8088305e-06 3.3291903e-06 6.2884706e-06 6.6583807e-06 5.1787406e-06 6.6583807e-06 7.768111e-06 5.5486507e-06 5.9185604e-06 7.768111e-06 5.1787406e-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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00050751655 1.3686671e-05 1.9235322e-05 1.7755681e-05 1.4056582e-05 1.5906131e-05 1.6276043e-05 1.4426491e-05 1.7385772e-05 1.7755681e-05 2.1454782e-05 1.4796402e-05 1.5906131e-05 2.1824691e-05 1.5536221e-05 1.4056582e-05 0.00047015565 8.507931e-06 2.5153882e-05 1.5536221e-05 2.8852983e-05 1.8125593e-05 6.436434e-05 2.6263613e-05 1.2207031e-05 1.1837121e-05 1.2946852e-05 1.5536221e-05 1.3316761e-05 9.987571e-06 1.4056582e-05 1.0727391e-05 0.0003240412 1.4796401e-06 1.8495502e-06 3.6991003e-07 3.3291903e-06 1.2207031e-05 3.6991005e-06 9.247751e-06 6.2884705e-05 4.4389203e-06 1.6276043e-05 1.7015862e-05 1.4796402e-05 5.2897136e-05 5.2527226e-05 0.0001805161 0.0022875236 0.00021639737 0.00011652166 0.00013427735 0.00012650923 0.00014130563 0.0001620206 0.00014130563 0.00027114406 0.0001546224 0.00017385771 0.00018680457 0.00022897431 0.00024007162 0.00020456025 0.0005171342 0.0034901013 0.00091626716 0.00010764382 0.00012613932 0.00012465968 0.00028557054 0.0003022165 0.00023378314 0.0003869259 0.00026263614 0.00037730823 0.00028889973 0.00048384233 0.0003173828 0.00046941583 0.0009181167 0.003692442 0.0015173709 0.00033994732 0.000250799 0.00016128078 0.0002766927 0.000456469 0.00029555813 0.00037841796 0.00039136483 0.0005855676 0.00055856415 0.00065806997 0.0006077622 0.0007098574 0.0012410482 0.0013216885 0.0013472124 0.00027743253 0.0001764471 6.473425e-05 0.00010875355 0.00027484316 0.0001882842 0.00039543383 0.00032330138 0.00047126538 0.0005126953 0.000526382 0.00059444545 0.0006162701 0.0011341441 0.059780423 0.06452193 0.06953051 0.07328916 0.05971051 0.053311065 0.06344031 0.06394524 0.05423732 0.054013524 0.06041334 0.05831336 0.056213748 0.05727095 0.05324744 0.053306624 8925.0 5.8421288 52141.0 0.010356533 0.012197695 0.010740109 0.011507259 0.00901402 0.0107592875 0.009896243 0.008745517 0.02142268 0.012140159 0.010778466 0.010509963 0.008438657 0.0109702535 0.011085327 0.010164745 0.022592586 0.013003203 0.011468901 0.010797645 0.010126388 0.01133465 0.0116606895 0.009416774 0.011142863 0.012082622 0.010989432 0.009953779 0.008553729 0.010183925 0.021537753 0.009282523 0.0072303945 0.008707159 0.010145566 0.007978367 0.011238757 0.009704455 0.008649623 0.008841411 0.007882472 0.009877064 0.0076331487 0.0068084616 0.008783874 0.009301702 0.009896243 0.0090331985 0.0068276403 0.0074605397 0.009493489 0.00822769 0.009301702 0.011583975 0.0077674 0.007997545 0.007575612 0.009397595 0.009186628 0.0074605397 0.008246869 0.008055082 0.008035903 0.009301702 0.008726338 0.009877064 0.010912717 0.010509963 0.010548321 0.011085327 0.011737404 0.01118122 0.009512668 0.010855181 0.0097236335 0.009109913 0.010203104 0.021461038 0.012408661 0.009704455 0.008515372 0.010356533 0.011449723 0.01026064 0.009205807 0.021959687 0.011238757 0.010893539 0.009340059 0.01118122 0.009551025 0.008956484 0.009685276 0.008649623 0.011641511 0.009071556 6.535522 0.0 0.0 0.0 14.0 1353475.0 3784704.0 0.0 0.0 8.0 0.0 1.0 0.0 0.0 0.0 1308078100.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 2.0 25.0 4.0 0.0 4.0 0.0 176128.0 4096.0 4096.0 6.0 1.0 4.0 6.0 6.0 282624.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -876544.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 40960.0 0.0 0.0 0.0 0.0 0.0 0.0 23.560469 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7.9740806 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 6.185817 0.0 0.0 0.0 0.0 0.0 0.0 2863104.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -876544.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 40960.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 544.0 2908160.0 40796.0 253952.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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: 0.011988448 0.0047078817 0.0037991588 0.003671442 0.0038634376 0.0043859286 0.004373185 0.0043483977 0.004001938 0.0036284495 0.0036260688 0.003626349 0.003916653 0.003605763 0.0036414734 0.0037626084 0.004574843 0.0035853172 0.0043332735 0.0034935905 0.004332013 0.0036469349 0.003522719 0.00359484 0.0044997814 0.0036453945 0.0041510807 0.0036689213 0.0036267692 0.0036255086 0.003657998 0.003660939 0.0036960891 0.0034940108 0.0043052654 0.0042888806 0.0035930192 0.0035319617 0.0043617017 0.0042744563 0.0036441342 0.0036453945 0.0036343313 0.0036106645 0.003878702 0.00362985 0.0043883095 0.0036173863 0.0035253798 0.00349163 0.0042192806 0.0051079774 0.0035393839 0.003536723 0.0050593833 0.0036117847 0.003622288 0.0036910477 0.0036173863 0.0051817787 0.003667661 0.003609264 0.005102376 0.003601702 0.004317589 0.0041729272 0.003969028 0.003799019 0.0035658514 0.0051693153 0.0037256377 0.0036199072 0.0036736827 0.0036173863 0.004151221 0.003626489 0.0036204671 0.0038292676 0.0036703218 0.0035391038 0.005430631 0.0035353226 0.0036221477 0.004417718 0.003519638 0.0036327909 0.0037876756 0.0038361296 0.0044335425 0.0037809536 0.0047857445 0.0036054829 0.0035648711 0.0041853907 0.0037071523 0.0038112025 0.0035281805 0.0035208985 0.0035493267 0.0034449964 0.00432151 0.0036658405 0.0036095441 0.0034655824 0.0036773237 0.0036777437 0.0043391553 0.00366472 0.003644274 0.004061735 0.0036134652 0.0043909703 0.0035102554 0.0034874289 0.005068346 0.00352678 0.0039837323 0.004055013 0.0035270602 0.0042907014 0.0035700526 0.0035994612 0.003598761 0.004304705 0.003612625 0.003716395 0.0035925992 0.0035623505 0.0036627594 0.0036008616 0.0034959712 0.0038973272 0.004100526 0.0038457925 0.003568232 0.003536723 0.00428594 0.003915393 0.003667801 0.004638562 0.0036285897 0.0052079665 0.003668081 0.0037253576 0.0040261648 0.003408726 0.0042604525 0.0035337822 0.0034700637 0.00428594 0.0035168373 0.0035393839 0.003695529 0.0039229547 0.0036428738 0.0047316886 0.0036727025 0.0036204671 0.003685026 0.0036484753 0.0038707196 0.003474405 0.004296443 0.0035547882 0.0034648823 0.0049703177 0.0034627817 0.0043573603 0.0036578581 0.0036073034 0.0036495957 0.0036652803 0.004294062 0.0036169663 0.0036459547 0.0047407914 0.003571173 0.0034609612 0.0035245395 0.0034919102 0.0035189379 0.0035147367 0.0034657225 0.003498492 0.0037067323 0.003619487 0.004981801 0.0036035224 0.0036811049 0.0036396529 0.0043920903 0.004135256 0.0037633085 0.0046790335 0.0035532478 0.003706312 0.004723146 0.0034703438 0.0036159859 0.0036343313 0.0041989745 0.0048341984 0.0037273183 0.0036012817 0.0048798514 0.0041349763 0.0037191957 0.003626209 0.003543725 0.004041149 0.00356095 0.003567392 0.0035557686 0.0034822472 0.0035096952 0.0035075946 0.0042485488 0.0047073215 0.0036690612 0.0036642998 0.00428678 0.0040922635 0.0036101043 0.003643574 0.0035582893 0.003418809 0.003539804 0.0034861683 0.0034864484 0.0041894517 0.0035265 0.0042526103 0.0042691347 0.003747624 0.0036588383 0.0043446166 0.0037500048 0.0040300856 0.0036592584 0.004414637 0.003612765 0.0035084349 0.0035008728 0.0034465368 0.0035788752 0.00345718 0.0035792952 0.003605343 0.004607333 0.004269275 0.0047444324 0.003720036 0.003750985 0.0036869864 0.00452891 0.006018241 0.0018612396 4.902422e-07 4.202076e-07 0.0 9.804844e-07 1.400692e-07 7.00346e-08 2.801384e-07 7.00346e-08 7.00346e-08 0.0 0.0 1.400692e-07 0.0 0.0 7.0034605e-07 0.0001382483 7.00346e-08 4.202076e-07 0.0 7.0034605e-07 2.101038e-07 4.902422e-07 5.602768e-07 4.202076e-07 7.00346e-08 9.1044984e-07 1.400692e-07 2.101038e-07 2.101038e-07 3.5017302e-07 4.202076e-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 0.0002556263 4.5522493e-06 4.272111e-06 3.5017302e-07 3.1515572e-06 1.4006921e-06 4.062007e-06 2.2411073e-06 3.6417994e-06 5.602768e-07 1.1205536e-06 1.5407612e-06 6.3031143e-07 3.5017302e-07 2.801384e-07 3.0815224e-06 0.00011429647 2.101038e-07 8.684291e-06 1.4006921e-06 1.2606229e-06 8.404152e-07 1.0925398e-05 5.6728027e-06 0.0 7.00346e-08 0.0 7.00346e-08 0.0 0.0 0.0 0.0 0.00022249993 2.5912802e-06 1.8909343e-06 2.0310035e-06 8.404152e-06 2.1710728e-06 2.0310035e-06 3.011488e-06 3.7118339e-06 2.5912802e-06 2.5212457e-06 1.4006921e-06 6.7933565e-06 2.2411073e-06 4.9724567e-06 1.7998893e-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 0.0005564249 1.6388098e-05 4.7973703e-05 5.1825605e-06 5.2385883e-05 4.272111e-06 1.9049412e-05 1.1135502e-05 3.4316956e-06 4.398173e-05 5.462699e-06 3.6417994e-06 8.404152e-06 1.1065467e-05 4.762353e-06 6.702312e-05 0.0006452288 2.143059e-05 2.5352527e-05 1.4287059e-05 4.3491487e-05 1.9539653e-05 3.31964e-05 2.906436e-05 2.0169966e-05 2.3461593e-05 1.1485675e-05 8.894394e-06 1.21159865e-05 1.0225052e-05 1.9609688e-05 6.646284e-05 0.00037293427 5.812872e-06 1.8559169e-05 1.8559169e-05 8.3341176e-05 4.0199862e-05 0.00024210963 0.00012186021 1.9609688e-05 6.373149e-06 7.703807e-06 7.843875e-06 1.2816332e-05 5.952941e-06 1.6177994e-05 2.4161938e-05 0.00035766672 6.373149e-06 8.789343e-05 6.2190724e-05 0.00014189011 8.145024e-05 0.00030535087 0.00021087419 2.7313495e-06 7.213564e-06 2.8013842e-06 1.4006921e-06 5.5327337e-06 2.1710728e-06 2.2411073e-06 1.3096471e-05 0.00030058852 1.21159865e-05 1.9399586e-05 1.8489136e-05 5.2806092e-05 2.1500624e-05 7.535723e-05 4.4962217e-05 1.5407613e-05 1.0855363e-05 1.0014948e-05 9.874879e-06 1.7228513e-05 9.6647755e-06 1.5547681e-05 8.3341176e-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 0.002758243 0.00080826937 0.00033189397 0.00037790672 0.0011872966 0.0013531386 0.0005719726 0.00066644925 0.0020899726 0.00040213868 0.0005503319 0.0005175557 0.0017919753 0.0008549824 0.00089672307 0.0017659925 0.0060705994 0.0029349402 0.0041197855 0.006753997 0.003398149 0.0041760933 0.0024627668 0.00386563 0.002681485 0.0025489093 0.0038027389 0.0024217265 0.0027842957 0.0017323759 0.003398219 0.0037903427 0.05724173 0.057809852 0.056927625 0.05693785 0.05709753 0.057960566 0.05645041 0.05604869 0.057607383 0.05761593 0.057939205 0.05683497 0.059233308 0.05806261 0.05697868 0.05778492 36159.0 5.7142067 206620.0 0.009945794 0.008634208 0.009258542 0.008997193 0.007903397 0.008856839 0.008503533 0.0084357755 0.008493854 0.008789081 0.00858097 0.008726164 0.008503533 0.008769723 0.009437615 0.008866518 0.008793921 0.008556771 0.008929436 0.0343384 0.008672927 0.0082034655 0.03403833 0.00883264 0.008663246 0.00908915 0.008469654 0.034251284 0.00906011 0.008755202 0.03407221 0.008445456 0.008595489 0.009790921 0.008871358 0.009292421 0.008619688 0.008905237 0.009355338 0.008847159 0.008876198 0.009350498 0.008924596 0.008721325 0.008779402 0.009035911 0.00832446 0.008547091 0.034633625 0.008677766 0.0092730615 0.010241022 0.009050431 0.008643887 0.00906011 0.009006873 0.008939115 0.008426096 0.009263382 0.008382538 0.008624529 0.008639048 0.0082518635 0.008513212 0.008426096 0.010139386 0.008798761 0.009394057 0.009747363 0.013682121 0.008919756 0.00908915 0.008977834 0.010841157 0.009195625 0.009079469 0.010400736 0.0088278 0.01102507 0.011199303 0.00930694 0.008261543 0.011315458 0.010850837 0.0122930985 0.009553771 0.008692285 0.009084309 0.009190785 0.009500532 0.0088278 0.008639048 0.008639048 0.008876198 0.008464815 0.008421256 6.446113 3.0 2.0 0.0 88.0 7140791.0 282624.0 0.0 0.0 266.0 0.0 1.0 0.0 0.0 0.0 1139306100.0 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 172032.0 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 20480.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -20480.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -172032.0 0.0 45056.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.3669806 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3.3667974 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.5952935 0.0 7.574857 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 20052.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -38392.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -168834.0 0.0 41944.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 -2.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 1.0 -1.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 2.0 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 -1.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 -2.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 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 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -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 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -2.0 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 1.0 0.0 -1.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 -1.0 -2.0 0.0 0.0 -2.0 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 2.0 0.0 0.0 1.0 2.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 2.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 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 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 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 1.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -2.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 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 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 200.0 190304.0 41944.0 237568.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1100.0 176128.0 0.0 0.0 0.0 0.0


Input: 0.015398408 0.003942477 0.003699023 0.0037266829 0.0039539225 0.003654672 0.003719768 0.0037419435 0.0039667985 0.0036606332 0.003690439 0.0037002154 0.0038614052 0.0037018845 0.0036475186 0.0038659358 0.0037448048 0.003714999 0.0035609624 0.0036561026 0.0037273983 0.0037076073 0.0036820935 0.0037295443 0.0037366976 0.003718814 0.0036513337 0.0037562503 0.0036506185 0.0036844779 0.003639173 0.0037655497 0.0036768476 0.0037023614 0.0036844779 0.003666356 0.0037858177 0.003666356 0.0036549105 0.003725252 0.003665402 0.0036606332 0.0036513337 0.0037040305 0.0037071302 0.0037133298 0.0036935387 0.0037338363 0.00371023 0.004893641 0.0072971834 0.0038182463 0.0036811396 0.0037142837 0.003699977 0.0037583963 0.0036782783 0.0037905865 0.0037061765 0.0038263537 0.003719768 0.0037412283 0.0037223909 0.0037221524 0.0037944017 0.0040185414 0.003632258 0.0036425113 0.003740036 0.0040063807 0.0038432833 0.003719291 0.0037109454 0.0036949695 0.0036799475 0.0037002154 0.0037228677 0.0038947877 0.0037531506 0.0037686494 0.0038802426 0.0036971155 0.003739559 0.0037548195 0.0036940158 0.003777949 0.0038661743 0.003869751 0.0037541043 0.0038592592 0.0036878162 0.003741705 0.0037350284 0.00377318 0.0038463832 0.0038893034 0.0036937774 0.0037617346 0.0036558642 0.0037569655 0.0037638806 0.00383613 0.0038199155 0.0036716016 0.0038017936 0.0037469508 0.0038101391 0.00362582 0.003821823 0.0037624498 0.0037622114 0.0038294534 0.0037204833 0.0037381283 0.0037655497 0.0038087086 0.0040001813 0.0040543084 0.0037805717 0.003823969 0.0037190525 0.0037118993 0.0036873391 0.0037250137 0.0038013167 0.003867128 0.0038611668 0.0037474278 0.0036794704 0.003708561 0.0036556257 0.003956069 0.003690439 0.0038540135 0.0036484725 0.003679232 0.0036420343 0.00400495 0.003634881 0.004824968 0.004300624 0.0039694216 0.003710707 0.0037142837 0.0036725556 0.0036689788 0.0036623024 0.0036534797 0.0036241508 0.003677086 0.0037223909 0.0037133298 0.003632735 0.0036782783 0.003654195 0.0036406037 0.0036484725 0.0036871007 0.0037140453 0.0037467123 0.0036406037 0.003645611 0.0036665944 0.0036921082 0.0036384577 0.0048891106 0.0072626085 0.0037541043 0.0036983078 0.0036816164 0.003730498 0.0036830471 0.0036708864 0.003668025 0.003705938 0.003741705 0.0036785167 0.0037297828 0.0036780399 0.0037653113 0.0036830471 0.003717145 0.0036787551 0.0037307364 0.0037388436 0.003744328 0.0036563412 0.0037712725 0.003757681 0.004953491 0.0073970924 0.003719291 0.0039384235 0.004007335 0.0041859313 0.003773657 0.0037271597 0.003686147 0.0037331209 0.0038003628 0.0037583963 0.0037364592 0.0036747016 0.0036909159 0.0037202449 0.0036871007 0.0037254908 0.0037781873 0.0037164297 0.003652049 0.003650857 0.003918394 0.0043094466 0.0037383668 0.0037147605 0.0037333595 0.0037622114 0.0036427497 0.0036780399 0.0037056997 0.0037264444 0.0037040305 0.0037953556 0.0037281136 0.0037409896 0.0036665944 0.0038583055 0.0042646187 0.0037288289 0.0037028382 0.003703792 0.0036916311 0.004246735 0.0037276368 0.0037359823 0.0038349377 0.0038127622 0.0037049842 0.0037164297 0.0039107637 0.004179493 0.0037889176 0.00374862 0.0037908251 0.0038151466 0.0037498123 0.0037920172 0.003967037 0.004412217 0.0037886791 0.0038349377 0.003804655 0.0038840577 0.003822777 0.0061287945 0.012553979 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0004053903 2.027548e-06 4.770701e-07 7.1560517e-06 2.3853505e-07 0.0 5.9633766e-07 1.4312103e-06 4.055096e-06 0.0 5.963376e-06 5.7248412e-06 3.1009556e-06 4.770701e-07 3.3394908e-06 4.8541882e-05 0.00017711228 7.1560515e-07 2.3853505e-07 1.1807485e-05 4.770701e-07 2.3853505e-07 2.3853505e-07 3.5780258e-07 1.1926753e-06 0.0 1.16882175e-05 1.16882175e-05 4.770701e-07 4.770701e-07 7.1560515e-07 2.6835194e-05 0.0013706224 8.348727e-06 1.6697454e-06 0.00012057947 1.7890129e-06 1.9082804e-06 2.7431531e-06 4.293631e-06 9.064332e-06 1.6697454e-06 0.000117359246 0.000117478514 8.110192e-06 3.220223e-06 8.110192e-06 0.00017711228 0.0010334532 2.5046181e-06 1.6697454e-06 0.00022815878 4.1743633e-06 9.541402e-07 2.981688e-06 9.541402e-07 2.981688e-06 1.4312103e-06 0.00022815878 0.00023054413 5.2477712e-06 5.1285037e-06 4.4128983e-06 0.0004455835 0.001941556 1.013774e-05 1.1807485e-05 0.0007150088 4.2220705e-05 1.1926752e-05 1.8009396e-05 1.2642357e-05 1.7651593e-05 6.6789817e-06 0.00070797204 0.0007144125 3.363344e-05 2.3853505e-05 2.5403982e-05 0.0015693221 0.0037102934 3.0174684e-05 0.00014884587 0.0019586114 0.00016947916 0.00014002007 0.0005439792 0.00028612278 8.527628e-05 3.4349046e-05 0.0018944454 0.0019000509 0.0001494422 0.00010853345 0.00013274475 0.0036074847 0.001069949 2.1587422e-05 3.566099e-05 0.0011379315 0.00011235001 8.0386315e-05 0.00021623203 9.684523e-05 0.00033013252 2.8862742e-05 0.0011410324 0.0011795558 0.0002886274 0.00037187614 0.00045011565 0.0032092505 0.00049663 1.7174523e-05 4.1385832e-05 0.0007964685 7.776243e-05 3.613806e-05 8.062485e-05 5.3312582e-05 0.00041767486 2.2780097e-05 0.00079456024 0.00081722107 0.0003210682 0.00043806963 0.0005504196 0.0021222464 0.00016947916 3.816561e-06 1.633965e-05 8.2294595e-05 4.4128983e-06 5.3670387e-06 1.013774e-05 7.752389e-06 1.586258e-05 1.013774e-05 8.479921e-05 7.8478035e-05 1.824793e-05 1.9917677e-05 3.2082964e-05 0.00017365352 0.0017043329 0.00030043488 0.00024342502 0.00031653602 0.00070308207 0.00062209944 0.00023626897 0.00053885067 0.0011687025 7.024857e-05 6.9055895e-05 0.00012976307 0.0005155935 0.000119267526 0.0004495193 0.0008733961 0.0018315914 0.00039286722 0.00028063648 0.0004554827 0.0008884238 0.00088460726 0.00036782105 0.00067827443 0.0012075837 0.00010602883 0.000121652876 0.0001905895 0.00059645687 0.00023972773 0.00067386153 0.0013433101 0.057935633 0.058341857 0.058313828 0.058658034 0.058317885 0.05879257 0.05864611 0.059133675 0.058422603 0.058520757 0.05859757 0.059028123 0.058689285 0.058848742 0.05872399 0.059475854 18871.0 5.793016 109320.0 0.010327479 0.009504207 0.010391511 0.009952433 0.010062203 0.00960483 0.009284669 0.009924991 0.0097511895 0.010135382 0.0103000365 0.01014453 0.01014453 0.010190267 0.009979876 0.009806074 0.00945847 0.010492133 0.009412733 0.009860959 0.009998171 0.01003476 0.010089645 0.0105836075 0.009595683 0.009924991 0.010080498 0.01018112 0.010757409 0.01007135 0.0104829855 0.009970728 0.0107665565 0.010720819 0.009806074 0.0101170875 0.009915844 0.010638492 0.01010794 0.010922064 0.0101170875 0.00967801 0.009824369 0.010098793 0.010245152 0.010336626 0.010226857 0.010528723 0.010345774 0.009632273 0.010171972 0.011077571 0.0104829855 0.009888401 0.009623125 0.011425174 0.010492133 0.009668862 0.009586535 0.010290889 0.009979876 0.01014453 0.010126235 0.010757409 0.009870106 0.012294183 0.010245152 0.011562386 0.0108488845 0.014114526 0.010638492 0.010629345 0.010510428 0.012513721 0.009806074 0.009559092 0.011919136 0.011306257 0.011900841 0.012202708 0.011050128 0.010281742 0.011909989 0.012019758 0.013629711 0.010739114 0.010876327 0.010016466 0.010437248 0.010876327 0.009687157 0.010053055 0.010272594 0.010364069 0.01010794 0.009513355 6.580531 0.0 1.0 0.0 55.0 4193810.0 278528.0 0.0 0.0 188.0 0.0 1.0 0.0 0.0 0.0 1306250100.0 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 72192.0 1024.0 4096.0 4.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 13824.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2048.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -72192.0 0.0 172032.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.0439453 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3.6873527 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.5874343 0.0 4.2732534 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 13612.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -10604.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -71955.0 0.0 172016.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 -1.0 0.0 0.0 0.0 0.0 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 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 -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 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 1.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 -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 2.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 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 -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 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 2.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 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 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 -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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -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 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -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 1.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 180.0 87308.0 172016.0 106496.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 784.0 77824.0 0.0 0.0 0.0 0.0