Input: 0.05667033 0.008299734 0.006167854 0.005657404 0.0057505895 0.0049605826 0.0041943896 0.0054182275 0.0050475555 0.005630484 0.0037491692 0.004472911 0.004956441 0.0031672765 0.00432692 0.0046427157 0.0050454848 0.003772983 0.0049315915 0.004164363 0.004352805 0.0031724535 0.004107416 0.0038444255 0.005064122 0.0033443293 0.0031558871 0.002933277 0.0041529736 0.0034344087 0.003793691 0.0037978326 0.0061709606 0.0038257884 0.0034851432 0.003032675 0.0048984587 0.0041581504 0.0038444255 0.003720178 0.0047234767 0.0038910185 0.00333294 0.0030968697 0.0043724775 0.003735709 0.003730532 0.003586612 0.00551659 0.0039407173 0.0031061883 0.002904286 0.003675656 0.0030699493 0.0026878882 0.0028670116 0.004167469 0.0033101612 0.0035234527 0.003356754 0.0039997348 0.0032159402 0.0035079217 0.0034447627 0.006598579 0.003944859 0.0036176739 0.003228365 0.0041581504 0.0032211172 0.003550373 0.0030668431 0.004995786 0.003769877 0.0036973993 0.0035897181 0.0041260533 0.003121719 0.0035627978 0.003471683 0.0051614493 0.003631134 0.0036528772 0.0033391523 0.003931399 0.0033722848 0.0033650373 0.0035441606 0.0046468573 0.0036508064 0.003804045 0.0035130987 0.00411777 0.0033826388 0.00368601 0.0037843725 0.005905899 0.0036228509 0.0033401877 0.002959162 0.0040038764 0.0030523476 0.0032635683 0.0030295688 0.004978184 0.0031600287 0.0031962676 0.003048206 0.0035721164 0.0028380207 0.0030813387 0.0031962676 0.004507079 0.0032904886 0.0032242234 0.0031486393 0.0038868769 0.0033246567 0.0032894532 0.0036228509 0.0046313265 0.0032884178 0.003482037 0.0031786659 0.0040401155 0.0031931615 0.0034685768 0.003343294 0.0086465925 0.0046002646 0.0040100887 0.0035255235 0.0043621236 0.0034344087 0.0030233564 0.0033878158 0.0045422823 0.0038382132 0.002959162 0.0031931615 0.0037263904 0.0027883216 0.0028411269 0.0029819405 0.005225644 0.003207657 0.0034996388 0.0030337104 0.0036621958 0.0031797013 0.0032998072 0.0032625329 0.004541247 0.0028359499 0.0030440644 0.0027085962 0.0035213819 0.003228365 0.0029850467 0.0031600287 0.0050196 0.003406453 0.0032749576 0.0028038525 0.003772983 0.0030047193 0.0030564892 0.0031838429 0.004138478 0.003001613 0.0031248252 0.0030243918 0.0036518418 0.0028380207 0.0029156753 0.0030264626 0.0046603177 0.0031082588 0.0038371778 0.002857693 0.0035690102 0.0031507101 0.0029943653 0.0031196482 0.004254442 0.0031496747 0.0033339753 0.003181772 0.0036487356 0.003186949 0.0033256921 0.0033443293 0.0067197205 0.004059788 0.003725355 0.0033422585 0.0041136285 0.003255285 0.003301878 0.0032242234 0.004328991 0.0033370815 0.003116542 0.0030968697 0.0036466648 0.002991259 0.0030771971 0.0028028172 0.004244088 0.0032790992 0.0030916927 0.0029943653 0.0037129303 0.0030306042 0.0029363832 0.0029529496 0.003984204 0.0031124004 0.002727233 0.0026340475 0.0035307005 0.0029467372 0.003576258 0.0028846134 0.00496783 0.003233542 0.0034002406 0.0029757281 0.0038061158 0.0030782325 0.0031952322 0.0029084275 0.004441849 0.0054492895 0.0034571874 0.0031300022 0.003798868 0.0030813387 0.0032542497 0.0031910907 0.004615796 0.0033163736 0.003416807 0.0030409582 0.0037346736 0.0030937635 0.0033153382 0.0032542497 0.004354876 0.0030337104 0.0031962676 0.0028670116 0.004013195 0.0030916927 0.0042182035 0.004514327 0.011667952 0.0 0.0 0.0 0.0 0.0 1.0366906e-06 3.1100717e-06 0.0 1.0366906e-06 2.0733812e-06 0.0 0.0 1.0366906e-06 0.0 1.0366906e-06 0.0020516105 4.1467624e-06 2.0733812e-06 6.2201434e-06 5.1834527e-06 1.0366906e-06 3.1100717e-05 1.1403596e-05 0.0 0.0 1.0366905e-05 0.0 0.0 0.0 0.0 0.0 0.0009501269 2.5917263e-06 6.2201434e-06 1.29586315e-05 9.330215e-06 5.701798e-06 5.1834526e-05 2.2807191e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0028617843 3.5765825e-05 2.7990645e-05 1.0885251e-05 2.2288847e-05 3.4729135e-05 4.250431e-05 1.8142086e-05 3.5765825e-05 5.1834527e-06 9.848561e-06 1.6068703e-05 2.643561e-05 7.2568337e-06 1.7105394e-05 1.29586315e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00087963196 1.1921941e-05 1.2440287e-05 8.293525e-06 1.3476977e-05 1.6068703e-05 1.3476977e-05 1.1403596e-05 1.0885251e-05 1.3476977e-05 6.7384885e-06 1.3476977e-05 1.1921941e-05 1.0366905e-05 1.8142086e-05 9.848561e-06 0.0016244941 6.5311506e-05 5.701798e-05 4.8724454e-05 4.7687765e-05 3.058237e-05 2.2807191e-05 0.0005546294 3.0064026e-05 1.7105394e-05 1.9697121e-05 0.0002773147 2.073381e-05 0.00027420465 1.658705e-05 7.775179e-05 0.0007427888 3.732086e-05 3.421079e-05 2.073381e-05 2.2288847e-05 1.7105394e-05 1.3995323e-05 1.1921941e-05 1.658705e-05 2.2807191e-05 1.9178775e-05 1.7623739e-05 6.7384885e-06 4.6651076e-06 2.2807191e-05 5.0797837e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0013181521 3.732086e-05 4.3022657e-05 6.012805e-05 4.250431e-05 3.1619064e-05 9.174711e-05 5.8573016e-05 3.9394243e-05 5.7536326e-05 4.4059347e-05 4.3022657e-05 7.827014e-05 7.775179e-06 8.8118695e-06 0.00016120537 0.0011688686 6.945827e-05 4.613273e-05 4.613273e-05 3.835755e-05 3.7839207e-05 4.7687765e-05 6.012805e-05 5.2352872e-05 5.0797837e-05 6.842158e-05 5.1834526e-05 7.516007e-05 1.4513667e-05 4.4059347e-05 0.00025139746 0.0045775073 0.00029390177 0.0002726496 0.0002643561 0.00030945212 0.00023895717 0.0003296676 0.0003125622 0.00032655752 0.00035247477 0.00032655752 0.00035247477 0.00052145537 0.00015135683 0.0001866043 0.0007376053 0.0031966353 0.0002736863 0.00030064027 0.00024880574 0.00028871832 0.00028249816 0.00034314458 0.0009335398 0.0004074194 0.0003514381 0.00032448414 0.00066918373 0.00046288234 0.00043541004 0.00017468235 0.0008609715 0.0022511736 0.00018193919 0.00029027337 0.0002451773 0.00029856688 0.00029493845 0.00028560826 0.0004027543 0.0004431852 0.00032292912 0.000246214 0.0003172273 0.00046080895 0.00016172373 0.00018971437 0.0010387639 0.0003446996 5.4426255e-05 4.3022657e-05 4.509604e-05 5.4426255e-05 4.820611e-05 5.338956e-05 5.1834526e-05 7.0494956e-05 4.820611e-05 3.835755e-05 4.92428e-05 4.4577693e-05 2.643561e-05 4.1985968e-05 4.716942e-05 0.09917552 0.062010165 0.062477194 0.055303294 0.060582124 0.05956461 0.054917645 0.054492604 0.060454093 0.05317445 0.05215642 0.05294223 0.05645972 0.050559916 0.056681056 0.05384726 4027.0 5.702508 22964.0 0.01715729 0.010451141 0.009449573 0.008622191 0.013455844 0.01241073 0.011844627 0.011496255 0.012628462 0.009710852 0.008448006 0.008622191 0.013891309 0.01058178 0.011844627 0.010015677 0.016765371 0.011844627 0.0087092845 0.0075335307 0.009797945 0.008535098 0.007794809 0.008404459 0.010233409 0.008535098 0.0096237585 0.00888347 0.011496255 0.009014109 0.0096237585 0.009188294 0.017984672 0.010886605 0.010364048 0.009144749 0.010886605 0.008839923 0.010668873 0.008273819 0.014239679 0.011626895 0.009710852 0.008970562 0.011409163 0.009318934 0.01167044 0.009580213 0.014805783 0.0096237585 0.00997213 0.008970562 0.0121059045 0.009318934 0.009536666 0.009797945 0.013717122 0.009275388 0.010538233 0.0096237585 0.011147884 0.0098414915 0.010364048 0.010668873 0.017897578 0.0109736975 0.009667305 0.008186727 0.013107473 0.008230274 0.009449573 0.008360913 0.015415433 0.009275388 0.00888347 0.008665738 0.011322069 0.008099634 0.009928584 0.007925449 0.013151019 0.008012542 0.0087092845 0.008839923 0.011365616 0.00949312 0.008186727 0.007838355 0.010930152 0.008839923 0.012018812 0.008622191 0.011452708 0.008970562 0.00997213 0.0087092845 6.5547094 0.0 0.0 0.0 14.0 965814.0 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: 0.035696737 0.005097779 0.0050854953 0.003586871 0.004204132 0.0035776582 0.004201061 0.0035561617 0.0049012383 0.0034947426 0.0060067805 0.004179565 0.003335053 0.003768057 0.0036114387 0.0033749754 0.0048275352 0.0036605739 0.0035070262 0.0037342766 0.0052083335 0.0031292993 0.0035408067 0.00409972 0.0035561617 0.0033903301 0.00384176 0.0034763168 0.0035838 0.0034886007 0.0032613503 0.0036175805 0.003654432 0.005054786 0.0035530906 0.0035807292 0.003276705 0.0037035672 0.004029088 0.003411827 0.0051315594 0.0039645983 0.0033565497 0.003586871 0.0039461725 0.0037987668 0.0052513266 0.0037434895 0.003642148 0.004112004 0.003654432 0.0039216047 0.003844831 0.003721993 0.0036912835 0.0035500196 0.0034517492 0.0037465605 0.0037404187 0.003596084 0.0033012726 0.0037035672 0.0039369594 0.0036206516 0.0035131683 0.003285918 0.0065196296 0.003457891 0.004112004 0.0034179688 0.0036267934 0.0036175805 0.0034302527 0.0035039554 0.0035438777 0.0037066382 0.0037281348 0.003768057 0.003783412 0.0037465605 0.004207203 0.003399543 0.0040812944 0.0038693985 0.0033227692 0.0026747985 0.003399543 0.003789554 0.0035715164 0.0035684453 0.003402614 0.0038079796 0.0043699634 0.004115075 0.0035561617 0.0044436664 0.0030126031 0.004898167 0.0037557734 0.00445595 0.0039216047 0.0060067805 0.0039185337 0.0041764937 0.0038202633 0.004434454 0.003967669 0.004019875 0.004541937 0.0048336773 0.004710839 0.0050056507 0.0038786114 0.003949243 0.0050210054 0.0048213936 0.0051960493 0.0043024025 0.004047514 0.003789554 0.0034210398 0.0039830236 0.0035899421 0.0037434895 0.003893966 0.003955385 0.0034978136 0.0037035672 0.0035715164 0.003021816 0.0029143328 0.0031845765 0.0047507617 0.005401803 0.0037741992 0.003537736 0.003411827 0.003912392 0.0031907184 0.0036728578 0.003642148 0.0037649863 0.0035653743 0.0036974254 0.0033719044 0.003516239 0.0033104855 0.0036390773 0.0034763168 0.0035469488 0.0036145097 0.004090507 0.0033166273 0.003955385 0.0034517492 0.0035899421 0.0034855297 0.0035346649 0.0037926247 0.0038264052 0.0032644211 0.004910451 0.0034732458 0.0033811172 0.0035070262 0.003721993 0.0035991548 0.0036789996 0.0031047317 0.0031845765 0.0028099203 0.003399543 0.0031845765 0.0036482902 0.0038141215 0.003903179 0.0033135563 0.0036759286 0.0032982016 0.0036267934 0.0033719044 0.0038632567 0.004342325 0.003844831 0.0039185337 0.004022946 0.0040075914 0.0038110504 0.0037342766 0.003642148 0.0036329352 0.0038632567 0.0031722926 0.003160009 0.004044443 0.0036175805 0.0035131683 0.0034517492 0.003721993 0.003930818 0.0033903301 0.0038816824 0.0035438777 0.0038110504 0.0036145097 0.003335053 0.0038540438 0.0035193102 0.0037434895 0.0034425363 0.0035838 0.0035899421 0.0033012726 0.0034793878 0.0036912835 0.0038632567 0.0035131683 0.0035653743 0.0037035672 0.0044283117 0.0034763168 0.0034855297 0.0036697867 0.003399543 0.0031139445 0.004029088 0.0037434895 0.0036175805 0.0036912835 0.00384176 0.003537736 0.003768057 0.0036267934 0.0038632567 0.0030678804 0.0038786114 0.003399543 0.0039922367 0.0035408067 0.0034732458 0.004016804 0.003651361 0.0035715164 0.0037312058 0.0037527024 0.0033534789 0.0036052968 0.0031231574 0.004038301 0.003709709 0.003593013 0.003528523 0.0040014493 0.0035223812 0.0039246758 0.0036083676 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.008434789 0.0005129264 0.0009519174 0.0003727573 0.0006068858 0.00032346707 0.0024475674 0.0018853509 4.77499e-05 1.5403193e-05 2.1564472e-05 2.772575e-05 1.8483834e-05 1.2322555e-05 2.310479e-05 7.0854694e-05 0.008256112 0.0008009661 0.0009442158 0.00030498323 0.0005021441 0.0003897008 0.0020855924 0.0014833276 0.00021564472 9.704012e-05 0.00014479003 6.777405e-05 9.087884e-05 0.00016327386 4.929022e-05 0.00017713672 0.0019885523 0.00016789482 0.00019253993 8.779821e-05 6.623373e-05 3.8507984e-05 0.00011398364 4.0048304e-05 0.000110903 6.9314374e-05 7.855629e-05 3.0806386e-05 6.623373e-05 3.3887027e-05 3.0806386e-05 3.8507984e-05 0.003732194 0.00028803974 0.00034195092 0.0002479914 0.00043437007 0.0004297491 0.002054786 0.0012461185 0.00018021736 7.0854694e-05 7.855629e-05 6.0072456e-05 5.391118e-05 8.317725e-05 6.9314374e-05 9.241916e-05 0.0027155832 0.00029112038 0.00036197505 0.0003588944 0.0002295076 0.00028341878 0.0009303529 0.00056221656 0.00018175768 6.161277e-05 4.3128945e-05 7.547565e-05 4.929022e-05 5.237086e-05 6.469341e-05 4.77499e-05 0.0012800054 0.00022026568 0.00025723333 0.00012322555 0.00024183014 0.00011860459 0.00016173354 0.00013246747 0.00015557226 0.00011552395 5.0830542e-05 6.0072456e-05 8.779821e-05 3.3887027e-05 6.623373e-05 4.929022e-05 0.0045316196 0.00054065214 0.00057299883 0.00050984573 0.00070392597 0.0005437327 0.0007485952 0.0005868617 0.00054065214 0.0005221683 0.0004035637 0.00057299883 0.00046517645 0.00052524894 0.0003804589 0.0004697974 0.0055913595 0.0011352154 0.0013678037 0.0012368765 0.0013847471 0.0011167316 0.0020286005 0.0015341581 0.001152159 0.00079018384 0.00072086946 0.000954998 0.0007855629 0.00082099024 0.0007501356 0.00071162754 0.059471734 0.05607687 0.058023833 0.056069165 0.056736127 0.056492753 0.05878475 0.057273697 0.056592874 0.055955183 0.055215828 0.058296468 0.056121536 0.056394175 0.056924045 0.05724289 1769.0 8.1051445 14338.0 0.012763286 0.010322221 0.0079509 0.0058585578 0.0066257496 0.0054400894 0.0064165154 0.004463663 0.007044218 0.006277026 0.0048821312 0.0067652394 0.009903752 0.006834984 0.02092342 0.0066954945 0.012693542 0.008997071 0.006137537 0.009903752 0.008090389 0.0066954945 0.0048821312 0.0078114104 0.0062072813 0.008439112 0.0069744736 0.0058585578 0.0067652394 0.010531455 0.0069047287 0.007602176 0.0041149394 0.009206305 0.01178686 0.008787837 0.011856604 0.0078114104 0.0090668155 0.0069744736 0.007323197 0.009415539 0.0064862603 0.0079509 0.006834984 0.008020644 0.005998047 0.0074626864 0.009276049 0.0078114104 0.0083693685 0.013879202 0.008857581 0.0039057052 0.005788813 0.0053703445 0.007183708 0.0076719206 0.005719068 0.0058585578 0.0076719206 0.007044218 0.008439112 0.013809457 0.004742642 0.025387084 0.011368392 0.013181754 0.013809457 0.05007672 0.010880179 0.012623797 0.0083693685 0.024968615 0.0066954945 0.008787837 0.020783931 0.016599247 0.028944064 0.027479425 0.010670944 0.006834984 0.029083554 0.02531734 0.037104197 0.02092342 0.008578602 0.009624774 0.007602176 0.014576649 0.0058585578 0.0054400894 0.0064862603 0.005509834 0.0062072813 0.006067792 6.321128 1.0 0.0 0.0 8.0 325632.0 352256.0 1.0 0.0 1.0 1.0 1.0 0.0 0.0 0.0 1509643800.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 48.0 0.0 4.0 0.0 6.0 0.0 323072.0 512.0 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 -323072.0 0.0 1536.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.5849625 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7.9335837 0.0 4.239877 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 -323008.0 0.0 1512.0 0.0 0.0 0.0 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 79.0 331112.0 1512.0 335872.0 0.0 0.0 0.0 0.0 12.0 344064.0 28.0 330800.0 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: 0.17474736 0.013143803 0.0063544004 0.0068554957 0.008610341 0.003925134 0.0038556685 0.0029155246 0.011332981 0.0014432622 0.0016874028 0.0020367533 0.0072864513 0.0019922415 0.0017953103 0.006605285 0.006323377 0.0018627525 0.0010096092 0.0012193543 0.0030524323 0.0054479777 0.0012921918 0.00086258526 0.002547965 0.0013414246 0.00075872435 0.0009172134 0.0022849403 0.0008598876 0.0007803058 0.00084437587 0.005199116 0.0014021226 0.0011842843 0.0006676774 0.002752989 0.000817399 0.0008706783 0.0005746072 0.0016321003 0.0006953287 0.0006015841 0.0029094547 0.001380541 0.00068184023 0.0014304483 0.0006717239 0.0017636125 0.0013225408 0.00061911903 0.0073889634 0.0016037746 0.0012773545 0.00070409616 0.00058202585 0.0018324035 0.005017697 0.0005961887 0.0053083724 0.0014614717 0.0015066579 0.00072028226 0.0010325395 0.01024379 0.0028979897 0.0025277322 0.0024515225 0.0025560579 0.015442232 0.0043803686 0.0031724793 0.003443597 0.001759566 0.0016752633 0.0017433799 0.0024097085 0.009261832 0.0021028465 0.0018371245 0.01159061 0.0108507695 0.0026976864 0.0049664406 0.005108069 0.0057110023 0.009731904 0.0051127905 0.0017696823 0.0034746202 0.0008706783 0.0018040778 0.0012935407 0.004651486 0.0037201096 0.0026012443 0.0015336347 0.0015680302 0.001965939 0.0010352372 0.0019693112 0.002877757 0.0020832883 0.0006710495 0.0044666943 0.0012955639 0.006943845 0.00057258393 0.0021493817 0.0007546778 0.0013400757 0.0016867284 0.002788059 0.0006359796 0.001655705 0.0025843836 0.012586056 0.015977047 0.002202661 0.0013501921 0.0020988001 0.0012888197 0.00047074628 0.0006231656 0.0016111933 0.0047034165 0.0018357757 0.0011343772 0.0026700352 0.002512895 0.0011579819 0.011250702 0.0032163167 0.010425883 0.0026875702 0.0008700039 0.0019753808 0.015888698 0.0009077715 0.046726625 0.0015012625 0.014311227 0.0025432438 0.00060563063 0.0036526674 0.00045658342 0.00091316685 0.001207889 0.001698868 0.00078705 0.0005307698 0.0004269089 0.0013832387 0.0009637485 0.0005462815 0.0004336531 0.0013751456 0.00058472354 0.0010676094 0.0006177702 0.0014378668 0.0012726336 0.0004714207 0.00065486337 0.001334006 0.003786203 0.0005429094 0.00040128085 0.0014459599 0.0005671886 0.00044174615 0.00044849038 0.0012449824 0.00036755978 0.0004397229 0.0005341419 0.0015316115 0.00050042087 0.0008261665 0.0011431447 0.0014014482 0.0013137733 0.0015646581 0.00087135273 0.0034301083 0.00086865504 0.0005145837 0.0012746569 0.0016813331 0.0009138413 0.0023092197 0.00080930593 0.009862741 0.0030706415 0.0047216257 0.0037889006 0.0019807762 0.0008666318 0.003115828 0.003631086 0.004592811 0.002797501 0.00088079466 0.0020900327 0.0028379662 0.00088619 0.0038361102 0.0020758698 0.0023247313 0.001308378 0.001561286 0.0015316115 0.0026781282 0.0020401254 0.0024582667 0.0019308691 0.0032014793 0.0013360293 0.00057258393 0.00151003 0.002527058 0.0013184942 0.0006251888 0.000705445 0.0033201776 0.00065486337 0.00059753755 0.00051390927 0.0032257587 0.00052942097 0.0005341419 0.0004923278 0.02350022 0.0039055755 0.00051997905 0.00505479 0.007897477 0.00051660696 0.0007647941 0.0010642373 0.0053710938 0.0030335484 0.0016880773 0.0015848908 0.0029566644 0.0011438191 0.0032540844 0.0028325708 0.0046177646 0.0020198927 0.0015842164 0.0023328243 0.0074665216 0.003492155 0.0041254372 0.07597494 0.000691085 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0006360817 2.024663e-06 3.3744384e-06 5.7365455e-06 7.0863207e-06 6.748877e-06 1.7209637e-05 9.110984e-06 1.6872192e-06 3.3744385e-07 6.748877e-07 3.3744385e-07 0.0 0.0 3.3744385e-07 3.3744385e-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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0035202142 0.00014746297 0.00013295287 4.8591915e-05 9.245962e-05 0.00022305039 0.00017648314 0.00011574324 3.138228e-05 4.0155817e-05 3.2057167e-05 1.754708e-05 2.800784e-05 2.4970845e-05 2.2946182e-05 0.00018356946 0.023145273 0.00089355133 0.0008942262 0.0003840111 0.0005611691 0.0024302707 0.00067994936 0.00045824875 0.00033879362 0.000862169 0.0002925638 0.00019301788 0.00021258963 0.00015286206 0.00018829366 0.0028672605 0.012829278 0.00036545168 0.00035667815 0.00021798872 0.000615835 0.0020047538 0.00037827456 0.00021765128 0.00031213555 0.0005183137 0.00035262882 0.00026894273 0.0003171972 0.0002578071 0.0002540952 0.0014655186 0.004208262 0.00024430934 0.0002193385 0.00018188223 0.0012043371 0.0007734213 0.0027474677 0.0014246879 0.0001069697 0.00011203136 5.77029e-05 7.187554e-05 7.491253e-05 8.908517e-05 8.3348634e-05 0.00014881273 0.009414346 0.00054800883 0.0005368732 0.00050380366 0.0032975012 0.0011284122 0.001499263 0.00095361634 0.00054632156 0.00024262213 0.00020887774 0.00042382948 0.00036039003 0.0003377813 0.00050751556 0.00091447285 0.026895287 0.0021204972 0.001418614 0.0016082574 0.012323449 0.0031594867 0.004770781 0.003175684 0.002668506 0.0009866859 0.000802104 0.0012583281 0.0014223258 0.0016393022 0.0011263876 0.002350634 0.015114785 0.0020142023 0.0010707093 0.0014037665 0.008159054 0.0022217303 0.0030140486 0.002397201 0.0035320248 0.0008223507 0.00073798967 0.0015876733 0.001283299 0.0013706969 0.0014969009 0.004913857 0.07312712 0.009487571 0.006825477 0.011533156 0.016083248 0.025614012 0.007923856 0.016954865 0.048547372 0.005837441 0.0048507554 0.008217433 0.01911788 0.008231605 0.021555237 0.05196028 0.081984006 0.01484348 0.01026403 0.015731296 0.024695829 0.037636124 0.011019229 0.027076157 0.061440088 0.006709396 0.0074777557 0.008402689 0.026398906 0.014985544 0.026687084 0.057267595 0.002766702 0.0007491253 0.0017324367 0.0011240254 0.00089760066 0.0007987296 0.00062190904 0.0007487879 0.0018076868 0.0005247252 0.0005871523 0.0005129147 0.0018532416 0.00054767134 0.0012060243 0.0014894771 2953.0 12.633593 37307.0 0.011660011 0.0011257941 0.0011525988 0.0006433109 0.0035918192 0.0032969683 0.0008845525 0.0015546681 0.0023588066 0.0007237248 0.0009113571 0.0022247836 0.0015010588 0.0013670357 0.012759 0.00077733403 0.002466025 0.002278393 0.001983542 0.0020907605 0.0018763235 0.0007237248 0.0006701155 0.0015010588 0.0012866218 0.009703273 0.0014742542 0.0022247836 0.0021443698 0.0013134264 0.00083094323 0.012410539 0.029029405 0.026616989 0.012464149 0.03897392 0.012330126 0.013938403 0.017476613 0.008497065 0.008497065 0.012866219 0.00085774786 0.0018495189 0.008872329 0.018629212 0.005789798 0.00991771 0.023239607 0.0049856594 0.012088884 0.02117565 0.016243601 0.005923821 0.019889029 0.015519876 0.0034846007 0.0019299327 0.0011794033 0.0022515883 0.0045031765 0.0030021176 0.004154716 0.012732195 0.0020103466 0.03677594 0.009596054 0.018200338 0.017717855 0.06358056 0.004744418 0.00991771 0.012035275 0.029565496 0.0052269013 0.00458359 0.03034283 0.013134264 0.032487202 0.046800867 0.015251829 0.0007237248 0.038732678 0.022087008 0.062910445 0.019808615 0.004556786 0.005789798 0.008523869 0.007317662 0.0011257941 0.00080413866 0.00093816174 0.001340231 0.0018495189 0.0010989895 5.7290983 1.0 0.0 0.0 4.0 1482752.0 1597440.0 1.0 0.0 551.0 0.0 1.0 0.0 0.0 0.0 1353933800.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 10.0 0.0 5.0 1.0 5.0 1.0 1160704.0 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 276992.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -42496.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1160704.0 0.0 1536.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.183046 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.7826314 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.558934 0.0 4.116297 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 276484.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -144032.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1160703.0 0.0 1288.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 -3.0 1.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 -1.0 -1.0 1.0 0.0 -1.0 0.0 -1.0 0.0 1.0 1.0 1.0 -1.0 0.0 1.0 0.0 1.0 -1.0 0.0 0.0 1.0 1.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 1.0 -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 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 2.0 0.0 0.0 2.0 0.0 0.0 1.0 1.0 0.0 0.0 1.0 0.0 -1.0 -1.0 -1.0 -2.0 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 1.0 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 -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 1.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 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 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 -2.0 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 1.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 -1.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 1.0 1.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 1.0 0.0 0.0 0.0 -1.0 1.0 0.0 -1.0 0.0 1.0 1.0 0.0 0.0 1.0 -3.0 0.0 0.0 -2.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 2.0 0.0 0.0 1.0 0.0 0.0 -2.0 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 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 1.0 1.0 2.0 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 -1.0 0.0 -1.0 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 -1.0 0.0 1.0 0.0 0.0 -1.0 0.0 1.0 -1.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 -1.0 0.0 0.0 -1.0 -1.0 -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 -2.0 -1.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 -1.0 0.0 1.0 1.0 -3.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 1.0 -2.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 -2.0 1.0 0.0 -1.0 0.0 -1.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 2.0 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 -2.0 0.0 0.0 2.0 0.0 -1.0 0.0 1.0 1.0 -2.0 1.0 -1.0 0.0 1.0 0.0 0.0 0.0 -1.0 1.0 -1.0 0.0 0.0 0.0 -1.0 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 -1.0 0.0 2.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 -1.0 -1.0 -1.0 -1.0 -1.0 0.0 0.0 2.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 1.0 1.0 2.0 1.0 1.0 0.0 0.0 1.0 1.0 2.0 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 1.0 1.0 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 -1.0 -1.0 0.0 0.0 1.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 -1.0 0.0 0.0 1.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 1.0 0.0 -1.0 -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 0.0 0.0 0.0 1.0 0.0 -3.0 0.0 1.0 0.0 0.0 2.0 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 0.0 -1.0 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 1.0 -1.0 1.0 0.0 0.0 -1.0 1.0 1.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -2.0 1.0 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 1.0 -2.0 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 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 -2.0 0.0 0.0 1.0 1.0 -1.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 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 0.0 0.0 1.0 0.0 -1.0 1.0 1.0 1.0 -1.0 0.0 1.0 0.0 0.0 -1.0 -2.0 -2.0 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 1.0 0.0 -2.0 -2.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 -1.0 1.0 -1.0 0.0 0.0 0.0 1.0 0.0 1.0 1.0 -1.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 -1.0 1.0 1.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 1.0 1.0 0.0 2.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 -1.0 0.0 -1.0 0.0 -1.0 0.0 -2.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 3.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 1.0 0.0 0.0 1.0 -2.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 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 -3.0 -2.0 1.0 0.0 1.0 -1.0 -1.0 0.0 -1.0 1.0 1.0 0.0 -2.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 1.0 -1.0 0.0 2.0 -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 0.0 1.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 -3.0 -1.0 -1.0 -2.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 340.0 1431572.0 1288.0 1593344.0 0.0 0.0 0.0 0.0 0.0 0.0 28.0 1170608.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 1348472.0 0.0 0.0 2268.0 1167360.0 0.0 0.0 0.0 0.0


Input: 0.018994821 0.015073141 0.011644099 0.008092452 0.005743549 0.0042573162 0.0038578808 0.0037252905 0.0037236263 0.003585488 0.003636527 0.0035843786 0.0037280642 0.0036248767 0.0036037955 0.0036626013 0.0037258451 0.0035632972 0.0035555304 0.0035599687 0.0036243221 0.0035488731 0.003648732 0.0035139224 0.0036481773 0.00356829 0.0035133678 0.003497834 0.003619884 0.00355664 0.0035300108 0.0035477637 0.0041962913 0.003563852 0.0035865975 0.0034689861 0.0038251493 0.003588262 0.0035377778 0.0035677354 0.0036137814 0.0035289014 0.003576057 0.0035999122 0.0035350039 0.0035178058 0.0036809088 0.0035649615 0.0036859016 0.0036892304 0.0035522017 0.003847895 0.0034634382 0.003580495 0.0034673216 0.0035993573 0.0035549756 0.0035067105 0.003604905 0.003571064 0.003473979 0.0035261274 0.0035388872 0.0034750886 0.004202949 0.0036454033 0.00353223 0.003607679 0.0035693997 0.0039022625 0.0036265412 0.0035988025 0.0035211346 0.003549428 0.0035388872 0.0035388872 0.0035766116 0.003558859 0.0035477637 0.0034634382 0.0036942232 0.0035766116 0.0036542797 0.0037363858 0.0035699545 0.0037197429 0.0036781349 0.0037940822 0.003607679 0.003699771 0.0035838238 0.0036348628 0.0035449897 0.003619329 0.0035660712 0.0035644067 0.0035621878 0.003760241 0.0034834102 0.00366593 0.003865093 0.0039827046 0.0036870113 0.0034834102 0.0036797991 0.0037951916 0.0036786897 0.0035316753 0.0036376365 0.0036104529 0.0037030997 0.0037641246 0.0035899263 0.003461774 0.0037596864 0.0036770254 0.0040625916 0.0038484498 0.0034989438 0.0035338944 0.003527237 0.0035427706 0.0034950604 0.00356829 0.0035782761 0.003544435 0.0035233537 0.003527792 0.0036692587 0.0037319476 0.003586043 0.0037857606 0.0037241809 0.003826259 0.0036404105 0.003632089 0.0036309792 0.0039949096 0.003682573 0.004789897 0.0036359723 0.0038251493 0.0036675942 0.003573838 0.003682573 0.0036154457 0.0035899263 0.003588262 0.0035333396 0.0036121171 0.0035300108 0.0034845197 0.0035727283 0.0033585865 0.0035921454 0.0035350039 0.0035405515 0.0035416612 0.0035338944 0.0035472088 0.0036626013 0.003619329 0.0036692587 0.003600467 0.00366593 0.0036642656 0.0035771665 0.0035827141 0.0035311205 0.0035843786 0.0035793856 0.0035749474 0.0035699545 0.003561633 0.0035671806 0.0035849332 0.0035699545 0.0035366681 0.003646513 0.0035621878 0.0036054598 0.0035405515 0.0034506787 0.003539442 0.0036992163 0.0035555304 0.0035904811 0.003544435 0.0036931138 0.0035422158 0.003632089 0.0035888166 0.0039971285 0.0036748063 0.0036614917 0.003932775 0.0037574673 0.0036309792 0.0037153047 0.003774665 0.0036331983 0.0036864565 0.0036398557 0.0036270958 0.0036348628 0.0035782761 0.0037003257 0.003683128 0.0036859016 0.0037730008 0.0037741105 0.0038229302 0.0038767431 0.0035927 0.003741379 0.0036515058 0.0037125307 0.0035921454 0.0035938097 0.00373805 0.0037064282 0.003699771 0.00375081 0.0037219618 0.0037497005 0.0036736967 0.0036309792 0.0037136404 0.0036592726 0.0037674531 0.0036637108 0.0037363858 0.004575755 0.0038046227 0.0037402692 0.0040171 0.0038512235 0.0037402692 0.003673142 0.003728619 0.0038134991 0.0036820183 0.003750255 0.0036936684 0.0037829867 0.0036398557 0.003695333 0.0036964423 0.0038534426 0.003857326 0.004143033 0.00487977 0.0067454665 0.008802559 0.010997235 0.009627504 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0010545653 2.7759026e-07 6.939756e-06 0.0 0.0 0.0 1.054843e-05 4.9966243e-06 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.9681905e-05 0.0014037739 1.110361e-06 2.220722e-06 1.6655415e-06 0.0 0.0 0.0 0.0 2.7759026e-07 0.0 0.0 0.0 0.0 0.0 0.0 0.00029646637 0.00738973 2.1929629e-05 1.3601923e-05 1.2491561e-05 6.1069854e-06 4.441444e-06 2.7759024e-06 2.220722e-06 1.6655415e-06 1.9431318e-06 2.7759026e-07 0.0 1.3879512e-06 0.0 8.3277075e-07 0.002205177 0.00079557364 2.4983123e-05 1.1658791e-05 5.274215e-06 3.331083e-06 8.605298e-06 1.110361e-06 5.551805e-07 1.3879512e-06 2.7759026e-07 0.0 0.0 0.0 0.0 0.0 0.00028425243 0.003104014 7.050792e-05 7.828045e-05 3.5809142e-05 2.6371074e-05 1.5267464e-05 0.000112701644 4.8300702e-05 9.993249e-06 6.939756e-06 1.082602e-05 9.160478e-06 6.939756e-06 6.662166e-06 8.327707e-06 0.0009979369 0.0022209997 5.607323e-05 5.524046e-05 3.5531553e-05 3.220047e-05 2.5815893e-05 1.9153727e-05 2.5538304e-05 2.8314205e-05 2.248481e-05 1.8598546e-05 2.4983123e-05 1.3601923e-05 2.109686e-05 3.442119e-05 0.0007769751 0.0043320735 0.00016960764 0.00013601923 9.771177e-05 0.00011908622 8.54978e-05 0.00030757 0.00016044716 4.5247212e-05 3.247806e-05 4.1083356e-05 6.0237086e-05 6.773202e-05 5.551805e-05 6.662166e-05 0.0016136321 0.00499829 0.00013712958 0.0002795334 0.00011742068 0.00016405583 0.000113812006 0.00046690681 0.00026898496 7.68925e-05 9.2159964e-05 9.604623e-05 8.882888e-05 0.00010187562 0.0002584365 0.000632073 0.002340641 0.004322913 0.00013740717 0.00032783407 0.0001340761 0.00014351416 0.0001251932 0.00032644614 0.00022346016 0.00010326357 0.00015045391 0.0001507315 0.00016405583 0.00015905921 0.000404449 0.00057683256 0.0027833974 0.002820317 0.00015434017 0.00012935705 0.00010326357 0.00011742068 0.000107149834 0.00015350741 0.000106317064 0.00022040665 0.00027092808 0.00031117868 0.00021152377 0.00026954012 0.0005257559 0.00066233036 0.0035012458 0.005424391 0.0003020182 0.00022457051 0.0001393503 0.0002365069 0.00031478735 0.00025399507 0.00025427266 0.00072756404 0.0005179834 0.00076725945 0.00055934436 0.0008336035 0.0012358318 0.0010898194 0.0058793616 0.0020749872 0.0002453898 0.0002787006 0.00017821294 0.00014490211 0.00044636513 0.00031673047 0.0002023633 0.0008344363 0.00032533577 0.0005296422 0.00025815892 0.00074949366 0.00093492394 0.0007153501 0.003703609 0.0013316005 0.00014379175 0.00023511895 0.0001993098 0.0004616326 0.0004208268 0.00027453675 0.00033671697 0.00080751005 6.8287205e-05 7.411659e-05 0.000116310315 0.00048245187 0.00018404234 0.00033727215 0.0007800286 0.0032122743 0.00046496367 0.000678153 0.0006892566 0.0011261837 0.0011847552 0.00094630517 0.00092437555 0.0019281419 0.0002162428 0.0002420587 0.0004327632 0.0013693527 0.0005945983 0.0009829471 0.002062773 0.05581063 0.055297367 0.05550223 0.055397853 0.055410344 0.05540785 0.055695154 0.05518633 0.05562381 0.05517439 0.055372592 0.055394523 0.055297367 0.05523824 0.055644352 0.05541451 7724.0 6.247281 48254.0 0.020972354 0.008952626 0.009677954 0.008745389 0.007895718 0.0085796 0.00903552 0.009076968 0.009325651 0.008455258 0.008786837 0.008475982 0.008662494 0.009470717 0.011501637 0.011315124 0.010651967 0.009677954 0.00942927 0.009553612 0.009139138 0.009926639 0.009408547 0.009760849 0.00942927 0.00920131 0.008724665 0.009056244 0.009968085 0.010175322 0.010030257 0.0083930865 0.00920131 0.010797032 0.009242757 0.010361835 0.009905915 0.0108592035 0.010113151 0.009449994 0.009988809 0.00965723 0.008724665 0.009222033 0.010196046 0.009802296 0.009532888 0.009719402 0.010133875 0.009242757 0.009532888 0.01168815 0.009139138 0.010009533 0.009180586 0.009926639 0.009014796 0.00920131 0.009325651 0.010196046 0.009491441 0.010071704 0.009740125 0.010341112 0.009242757 0.014817424 0.009781573 0.012765781 0.012682887 0.021324657 0.010569072 0.009781573 0.010879927 0.014154267 0.009449994 0.009470717 0.014320056 0.01083848 0.015211174 0.015998675 0.012061176 0.009242757 0.016164463 0.015646372 0.017304264 0.0117917685 0.009408547 0.010527625 0.009076968 0.009139138 0.0085796 0.008600323 0.009740125 0.008745389 0.00897335 0.009242757 6.5517445 0.0 9.0 0.0 23.0 1802544.0 225280.0 0.0 0.0 8.0 0.0 1.0 1.0 1.0 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 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 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 6.0 0.0 2.0 25.0 1.0 0.0 4.0 0.0 40448.0 1024.0 4096.0 8.0 3.0 0.0 1.0 4.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 512.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1024.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -40448.0 0.0 0.0 0.0 0.0 0.0 0.0 -2560.0 155648.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.163891 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.1255684 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.629582 0.0 0.0 0.0 0.0 0.0 0.0 -4.6394687 5.5141187 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -8.0 0.0 0.0 -2244.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 24.0 0.0 3728.0 0.0 0.0 0.0 0.0 0.0 -592.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -40240.0 0.0 0.0 0.0 0.0 0.0 0.0 -2384.0 155564.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2384.0 53248.0 155564.0 69632.0 0.0 0.0 3040.0 1799504.0 0.0 65536.0 0.0 0.0 0.0 0.0 0.0 0.0 24.0 61440.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0


Input: 0.17882857 0.009355573 0.00465652 0.005022304 0.00981493 0.0032529288 0.0026506607 0.002074763 0.010456329 0.002597069 0.0014325136 0.0017965967 0.007459449 0.0013457462 0.0010667293 0.0059103947 0.0058202245 0.003468146 0.001642627 0.0008370507 0.0035600176 0.002684687 0.00095189 0.00063629466 0.0029458401 0.0011441394 0.0005673911 0.0008030243 0.0019420597 0.00054442324 0.0010769372 0.00065415853 0.004233741 0.00056994305 0.0012504722 0.000632892 0.010427406 0.001270888 0.00043638924 0.00040576543 0.0014775987 0.00063204137 0.0006609638 0.0020364833 0.0011798672 0.0011960298 0.00082769344 0.00043894124 0.0024294886 0.00060056685 0.000582703 0.0057827956 0.0010539694 0.00070179556 0.0005155007 0.00046020775 0.0014393189 0.002215122 0.0006745744 0.003646785 0.0013057651 0.0011739125 0.00057504704 0.0013517009 0.0042379946 0.0020305286 0.004822399 0.0024499046 0.005268996 0.008954061 0.0039402633 0.0017276931 0.0021810955 0.005854251 0.0030521727 0.0032401688 0.0055999034 0.005058032 0.0016681468 0.0009085063 0.008999997 0.002845462 0.0014597347 0.0031551027 0.0029560481 0.0024592618 0.0052945158 0.0036544409 0.0012547254 0.0027816624 0.00059206027 0.0012504722 0.0012870505 0.0021053867 0.0032792992 0.0022644603 0.0010684306 0.0018774095 0.00062948937 0.0013517009 0.0020968802 0.003754819 0.003116823 0.00075708854 0.003109167 0.0018757082 0.0050444216 0.0007604912 0.002141965 0.0008574666 0.0018059539 0.001911436 0.0019905474 0.0007604912 0.0025017948 0.00200671 0.011542623 0.010505667 0.0017123813 0.0016256138 0.0013219276 0.0014359163 0.00042447998 0.0006226841 0.0021938556 0.003092154 0.0016239125 0.0011798672 0.0030708874 0.0016706988 0.0009910205 0.010864646 0.002149621 0.0063161603 0.0006771264 0.00081918685 0.0014069938 0.009237331 0.0010080336 0.028789781 0.000946786 0.008866442 0.00048317562 0.0004882796 0.0011109636 0.0003079394 0.00053081266 0.0008506613 0.00081918685 0.0005571832 0.00035302443 0.00030198475 0.0011568994 0.00078771234 0.00033516056 0.00041682404 0.0006839317 0.000369187 0.00037684295 0.0006720224 0.0008642719 0.0012487707 0.00060992414 0.0006788277 0.0006158788 0.00091956486 0.00033516056 0.00030623807 0.0008013229 0.0004789223 0.0011943284 0.0003275046 0.0006601132 0.00054697524 0.0004134214 0.00037854427 0.0008396027 0.0003734403 0.00046275975 0.00042703198 0.00073922466 0.00096890324 0.0012844986 0.0010701319 0.0025051977 0.0005741964 0.000472117 0.00092211686 0.0008396027 0.00080982957 0.0008132322 0.00068308105 0.007992813 0.0029305283 0.00401342 0.0045774085 0.0028794885 0.0007094515 0.0027263695 0.0034171063 0.0025987702 0.00223809 0.0009391301 0.00089149305 0.012519183 0.0006584118 0.0026430048 0.0014461242 0.0016724002 0.0010684306 0.0011858218 0.0009646499 0.0013304342 0.00063034 0.0009655006 0.0012445175 0.0020075606 0.0009450847 0.0009867671 0.0018204151 0.0020739122 0.0017319464 0.0016706988 0.0018995267 0.0036008493 0.0022346873 0.0024737231 0.002391209 0.004084876 0.004162286 0.0035268418 0.0030870498 0.017865589 0.005746217 0.002563893 0.005992058 0.005849147 0.002009262 0.0031312841 0.004198864 0.0076644584 0.0064794873 0.0062736273 0.0063459333 0.006083079 0.0042558587 0.0063646478 0.006192814 0.008248863 0.0063161603 0.005746217 0.006021831 0.010629013 0.00752495 0.008551698 0.12490345 0.017239265 3.4056233e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.00016346991 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.003621029 0.00016049 6.130122e-05 3.8738966e-05 1.14939785e-05 2.9373501e-05 2.5542174e-06 2.5542174e-06 1.9156632e-05 2.5542174e-06 2.5542174e-06 2.5542174e-06 2.9799205e-06 2.1285146e-06 2.89478e-05 0.020423098 0.005041174 0.00026521293 5.4064272e-05 7.705223e-05 1.14939785e-05 4.4273103e-05 0.00020008038 7.620082e-05 3.5759047e-05 6.130122e-05 0.00011536549 6.5132546e-05 1.8730929e-05 4.086748e-05 8.897191e-05 0.017343989 0.004963696 0.0003635503 0.0001894378 0.0001306908 1.1068276e-05 0.0001162169 0.00022902817 0.0004231487 0.00010600003 9.5357456e-05 0.00023839364 0.0002907551 0.00012728518 0.00014857033 0.001945888 0.04641865 0.010441216 0.0012439039 0.00045975915 0.00041591175 4.1293184e-05 0.00036014468 0.00043251418 0.00030182337 0.00032779126 0.00028138963 6.0875518e-05 6.683536e-05 0.00035844187 0.00022434544 0.021812592 0.045995925 0.003231511 9.8337376e-05 7.918074e-05 4.7253023e-05 5.4915676e-05 5.8747002e-05 6.385544e-05 4.2995995e-05 0.00014942173 0.00018688358 8.8120505e-05 2.7244987e-05 1.7028116e-05 4.0016075e-05 0.008664757 0.01156124 0.0051957043 0.00016474703 0.00015665867 4.512451e-05 0.00030778322 5.1510055e-05 0.00022860247 0.00014984743 4.853013e-05 0.00011281127 5.3638567e-05 9.195183e-05 6.300403e-05 0.0030297276 0.0021170205 0.0038764507 0.038096156 0.0009961448 0.0016538559 0.00059044996 0.004046732 0.0007445544 0.0028024022 0.0017802896 0.0006360002 0.0009207954 0.0005827873 0.00042825713 0.0004691246 0.003724475 0.0039343466 0.009212637 0.011205352 0.00028522094 0.0005423455 0.0002886266 0.001397157 0.00038611254 0.0009918878 0.00065047404 0.00035375913 0.00013835345 0.00011919682 0.0001613414 0.000289478 0.00018177515 0.00028479524 0.0019045948 0.007628171 0.00062195194 0.00042485152 0.00034226515 0.0018969323 0.00094931753 0.0034809727 0.001981647 0.000262233 0.00012898799 0.00015410446 0.00016772695 0.00023030528 0.0004082491 0.0006411086 0.0016053257 0.01570631 0.0010421207 0.0012932855 0.0012396469 0.0053732223 0.001507414 0.0043281214 0.0027419524 0.00048487564 0.00040526918 0.0005253174 0.00044698807 0.00054660253 0.00035716474 0.00044698807 0.0010438235 0.010221979 0.00086630543 0.0013848116 0.0008709882 0.0053617284 0.0011698316 0.0022017355 0.002751318 0.0010557432 0.0003946266 0.000488707 0.00044783947 0.0019807958 0.00067559053 0.00060875516 0.0009054701 0.008884845 0.0011217272 0.0015580726 0.0008275665 0.002315824 0.0015006028 0.0015640325 0.0015538157 0.0031574385 0.0003192772 0.0004895584 0.0005121206 0.00503862 0.00050147803 0.0011153417 0.0017977435 0.042795915 0.007872098 0.008440412 0.0068733995 0.014618638 0.014052453 0.005161222 0.0103535205 0.027662177 0.0024184182 0.0028777518 0.0050075436 0.020688737 0.004007993 0.0110755125 0.02359203 0.061893374 0.013662084 0.010949079 0.012274718 0.025173942 0.024250593 0.010033818 0.02134219 0.04293299 0.0037389488 0.0041225073 0.005552443 0.0228926 0.008438284 0.019752616 0.041673336 0.0010033818 0.0004976467 0.00044400815 0.000465719 0.00041335754 0.00045379932 0.00045124508 0.00041463465 0.00045422502 0.00043081134 0.0004661447 0.0005257431 0.00050147803 0.00042485152 0.00046146195 0.0004380483 2831.0 12.628753 35752.0 0.021509286 0.0009789662 0.0011467889 0.0012307004 0.010796599 0.00089505484 0.0021537256 0.0017621391 0.0020138733 0.0060695903 0.0026851646 0.006349295 0.00302081 0.004055717 0.010460953 0.0029368987 0.003999776 0.0012027299 0.0026851646 0.0050626537 0.002657194 0.0004754979 0.0013705527 0.0007552025 0.001929962 0.0057898858 0.0025173416 0.0029928396 0.003999776 0.0032725441 0.0009789662 0.009146341 0.023075633 0.02114567 0.0044193333 0.018991945 0.020698143 0.0074681137 0.010377042 0.02176102 0.0057619154 0.011915417 0.0013985231 0.0012586708 0.008279257 0.0060695903 0.008894607 0.0054542404 0.021844931 0.00483889 0.008726785 0.02592862 0.008279257 0.0066569704 0.027215261 0.0211177 0.0073002907 0.0041955695 0.0057898858 0.0033284852 0.0026292235 0.0037760125 0.004866861 0.015887223 0.002237637 0.035662342 0.0072163795 0.020446409 0.01753748 0.06298948 0.006517118 0.01149586 0.010181248 0.03574625 0.0058458266 0.0028809577 0.02956478 0.012251063 0.030459834 0.036025956 0.013481763 0.0004754979 0.035858136 0.023886776 0.060779817 0.016614456 0.0047549787 0.0084191095 0.0062653837 0.01932759 0.0010349072 0.00044752742 0.0016502574 0.0013146118 0.0013146118 0.0010628776 5.8358235 0.0 0.0 0.0 5.0 1175556.0 1191936.0 0.0 0.0 566.0 0.0 1.0 0.0 0.0 0.0 1156748900.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 8.0 0.0 4.0 0.0 4.0 0.0 659456.0 4096.0 4096.0 5.0 0.0 0.0 2.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 167936.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -16384.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -638976.0 0.0 327680.0 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 0.0 5.0765996 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.5278006 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.6523447 0.0 4.595855 0.0 -6.0370884 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 166102.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -32472.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -638372.0 0.0 326212.0 0.0 -20480.0 0.0 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 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 1.0 -1.0 -2.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 1.0 0.0 1.0 1.0 0.0 0.0 1.0 0.0 -2.0 1.0 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 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 -1.0 -2.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 1.0 2.0 -1.0 -1.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 1.0 1.0 0.0 0.0 1.0 0.0 0.0 -1.0 -1.0 -2.0 0.0 0.0 2.0 0.0 0.0 0.0 1.0 1.0 0.0 1.0 0.0 0.0 0.0 -1.0 2.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 -1.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 1.0 1.0 1.0 0.0 0.0 0.0 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 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 2.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 -2.0 0.0 1.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 1.0 1.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 1.0 0.0 0.0 1.0 1.0 0.0 0.0 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 2.0 0.0 0.0 2.0 0.0 1.0 -1.0 0.0 1.0 0.0 -2.0 1.0 1.0 1.0 1.0 0.0 0.0 -1.0 0.0 0.0 -3.0 1.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 2.0 0.0 0.0 1.0 0.0 0.0 -2.0 0.0 -1.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -2.0 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 -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 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 -1.0 -1.0 1.0 0.0 0.0 1.0 1.0 0.0 -1.0 0.0 0.0 -3.0 0.0 1.0 -2.0 0.0 0.0 1.0 0.0 -2.0 -1.0 -1.0 -1.0 1.0 0.0 -1.0 0.0 0.0 -2.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 1.0 -2.0 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 0.0 0.0 -1.0 0.0 -1.0 0.0 -1.0 1.0 0.0 0.0 0.0 -1.0 -1.0 1.0 -1.0 0.0 0.0 1.0 0.0 0.0 1.0 -1.0 1.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 -1.0 1.0 1.0 1.0 0.0 0.0 -2.0 0.0 1.0 1.0 0.0 0.0 0.0 1.0 1.0 -1.0 1.0 -1.0 0.0 0.0 0.0 0.0 -1.0 -2.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 1.0 0.0 0.0 0.0 -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 -1.0 -1.0 -1.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 -1.0 0.0 1.0 1.0 3.0 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 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 -1.0 0.0 0.0 -1.0 -1.0 0.0 0.0 -1.0 0.0 0.0 1.0 1.0 0.0 0.0 -2.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 2.0 0.0 0.0 1.0 -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 -1.0 0.0 1.0 0.0 0.0 0.0 -1.0 -2.0 0.0 0.0 -1.0 -1.0 0.0 1.0 0.0 1.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 1.0 3.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 2.0 -1.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 -2.0 1.0 0.0 -1.0 1.0 -1.0 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 -1.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 -1.0 -1.0 1.0 2.0 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 0.0 1.0 0.0 0.0 0.0 0.0 -2.0 0.0 -1.0 -1.0 0.0 0.0 0.0 1.0 1.0 -1.0 -1.0 1.0 -1.0 0.0 0.0 0.0 1.0 1.0 0.0 -1.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 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 0.0 2.0 0.0 -2.0 1.0 1.0 0.0 -1.0 -1.0 -1.0 -2.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 -1.0 0.0 1.0 1.0 0.0 -1.0 0.0 0.0 2.0 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 1.0 0.0 0.0 -1.0 -1.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 -1.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 -1.0 -1.0 0.0 2.0 -2.0 0.0 -1.0 1.0 -2.0 0.0 -2.0 -1.0 -1.0 0.0 0.0 0.0 1.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 -1.0 0.0 -1.0 0.0 0.0 -1.0 -1.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 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 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 -1.0 1.0 1.0 1.0 0.0 -2.0 -1.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -2.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 -1.0 0.0 1.0 0.0 -1.0 1.0 -1.0 0.0 1.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 -1.0 0.0 0.0 0.0 1.0 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 -2.0 -1.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 797324.0 326212.0 843776.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 731680.0 0.0 0.0 2312.0 643072.0 64.0 797148.0 0.0 0.0


Input: 0.14103298 0.0076649305 0.004609375 0.004357639 0.007222222 0.002578125 0.0016927083 0.001484375 0.004340278 0.0009548611 0.0020052083 0.0008854167 0.0026996527 0.0013368055 0.0010069445 0.0034027777 0.0047916668 0.0007899306 0.002204861 0.00090277777 0.0020572916 0.0030815972 0.0006510417 0.0006857639 0.0013368055 0.0006510417 0.0005902778 0.00056423614 0.0013107639 0.0006857639 0.0006076389 0.000546875 0.004496528 0.00044270835 0.00094618055 0.00048611112 0.0031163194 0.0017447916 0.00057291664 0.00056423614 0.0013888889 0.0009895833 0.00083333335 0.0010243056 0.0017621528 0.0010590277 0.0017013889 0.00080729165 0.0056597223 0.004166667 0.0037760416 0.00905382 0.0034375 0.0019270834 0.002204861 0.0020659722 0.0032204862 0.0026128471 0.0028298611 0.0030121529 0.0029861112 0.0027083333 0.0025260416 0.0024305556 0.009565972 0.023055555 0.0010677084 0.0019791666 0.0026996527 0.021145834 0.0015277778 0.0016319444 0.0017881944 0.0014756945 0.0012586806 0.00090277777 0.0018576389 0.0027690972 0.00090277777 0.0010590277 0.011328125 0.0017881944 0.001875 0.004123264 0.0027083333 0.013151041 0.0029861112 0.0025347222 0.0029427083 0.0050868057 0.0032725695 0.0027604166 0.0027517362 0.002951389 0.0023697917 0.0021961806 0.0010243056 0.002673611 0.0009809028 0.0020833334 0.008307292 0.0053385417 0.0015451389 0.00077256944 0.009678819 0.0028819444 0.005347222 0.00080729165 0.0038802084 0.0015625 0.00234375 0.0028038195 0.0022916666 0.000390625 0.0031510417 0.00296875 0.0082118055 0.0067881946 0.0010416667 0.0010416667 0.0021180555 0.0013975694 0.0007552083 0.0005121528 0.0019270834 0.0013975694 0.0009895833 0.0008767361 0.00296875 0.0012847222 0.000625 0.0055381944 0.0028732638 0.013003472 0.00027777778 0.0004253472 0.0018663194 0.01108507 0.0011631944 0.04612847 0.0013975694 0.02266493 0.000546875 0.00059895834 0.0020399306 0.000546875 0.0016493056 0.00039930554 0.0013888889 0.0037239583 0.0005034722 0.0004253472 0.0019270834 0.00071180554 0.00046875 0.000546875 0.0016753472 0.00097222225 0.00092881947 0.0004253472 0.0015104166 0.004956597 0.0006163194 0.0015711805 0.0015625 0.00078125 0.00055555557 0.00055555557 0.0016493056 0.00055555557 0.0005815972 0.0005902778 0.0015538194 0.00052083336 0.00045138889 0.00044270835 0.0025347222 0.0023958334 0.0023871528 0.002013889 0.0021961806 0.0016493056 0.00072916667 0.0008159722 0.0064756945 0.0028472221 0.0053993054 0.0007552083 0.0015190972 0.00039930554 0.0006597222 0.0004079861 0.011128472 0.0009895833 0.00140625 0.0077951388 0.0033854167 0.0012065972 0.0033159722 0.0033940973 0.0040972224 0.0030208332 0.002126736 0.0012152778 0.0015711805 0.00059895834 0.0006857639 0.00083333335 0.0049479166 0.0014149306 0.0016319444 0.0010850695 0.0023958334 0.00091145834 0.0011284723 0.0009375 0.0036805556 0.00071180554 0.0007552083 0.0015625 0.0020486112 0.00069444446 0.0007465278 0.0005121528 0.00234375 0.00059895834 0.0007899306 0.000625 0.00234375 0.0015972222 0.00063368055 0.00046875 0.036970485 0.0033420138 0.000625 0.0041840277 0.004765625 0.00059895834 0.000625 0.0011545139 0.004626736 0.00059895834 0.0012760416 0.00084201386 0.004453125 0.0008246528 0.0011111111 0.0015277778 0.007777778 0.0013628472 0.0011892361 0.0018836806 0.00828125 0.007734375 0.011076389 0.11671875 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.013861029 0.00013636684 0.00077861064 0.0004970791 0.0016891892 0.0008709882 0.0038578617 0.0018695453 0.00021114865 0.00014076577 0.00015396255 0.00018035613 0.00032991977 0.00050147803 0.000189154 0.0017595721 0.009629258 0.00031232403 0.00048828125 0.00031672296 0.0016583967 0.0004662866 0.0004091005 0.00034311655 0.0007390203 0.000189154 0.00011877112 0.00023754223 0.0015528223 0.00072582345 0.0002771326 0.0005542652 0.008670291 0.0015572213 0.0016188063 0.02471319 0.0036907024 0.0020499015 0.004170186 0.0026305602 0.0017111838 0.0015264287 0.0015968117 0.0016539977 0.0025645762 0.0016935881 0.0016539977 0.0015616202 0.012800887 0.0011041315 0.001385663 0.0045001055 0.0037610852 0.0033651816 0.00509836 0.0031056446 0.0057581994 0.0013944609 0.0009809615 0.0014956363 0.0013152801 0.0007918074 0.0035675324 0.0126381265 0.056345895 0.007495777 0.0059385556 0.008120425 0.024625212 0.022104625 0.01504874 0.009730433 0.044926275 0.008063239 0.0072010485 0.013385945 0.012114653 0.0073902025 0.02339351 0.076457806 0.08056201 0.010900549 0.011789133 0.014485677 0.040021468 0.0366079 0.023872994 0.018435916 0.0604369 0.007051485 0.008494334 0.01649159 0.029340865 0.01427013 0.033247113 0.08047843 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 662.0 11.912387 7886.0 0.01521684 0.001014456 0.004057824 0.001521684 0.002282526 0.001141263 0.001394877 0.001394877 0.002916561 0.002789754 0.002409333 0.00126807 0.003931017 0.002662947 0.008749683 0.003296982 0.018260209 0.023078874 0.021176768 0.02193761 0.018894242 0.0092569105 0.0126807 0.0126807 0.013314735 0.01521684 0.017245753 0.011793051 0.012300279 0.012553893 0.013187928 0.01521684 0.005452701 0.013441542 0.004438245 0.012934314 0.008622876 0.009510525 0.010905402 0.010017753 0.006593964 0.006974385 0.003423789 0.002916561 0.007354806 0.005959929 0.004565052 0.004184631 0.006974385 0.011539437 0.009890946 0.013314735 0.009003297 0.011793051 0.008622876 0.011793051 0.003931017 0.004438245 0.005325894 0.004057824 0.003170175 0.004945473 0.004311438 0.006593964 0.002028912 0.02320568 0.008496069 0.018767435 0.019908698 0.058458026 0.00380421 0.005706315 0.013441542 0.028911997 0.003170175 0.00634035 0.03461831 0.011919858 0.023966523 0.027136698 0.013821963 0.001014456 0.03005326 0.024220137 0.042353537 0.013441542 0.006086736 0.004565052 0.007101192 0.010651788 0.005325894 0.001902105 0.003423789 0.001521684 0.00126807 0.001521684 6.0915246 0.0 2.0 0.0 1.0 115200.0 131072.0 0.0 0.0 10.0 1.0 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 103424.0 1024.0 4096.0 5.0 1.0 0.0 1.0 3.0 0.0 0.0 0.0 0.0 0.0 -7168.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1536.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -103424.0 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 0.0 0.0 0.0 0.0 -6.756195 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.4705496 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.2543316 0.0 0.0 0.0 0.0 0.0 0.0 -4.727231 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6744.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2909.0 0.0 0.0 0.0 0.0 0.0 -1172.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -102948.0 0.0 0.0 0.0 0.0 0.0 0.0 -1950.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1950.0 118784.0 0.0 0.0 0.0 0.0 0.0 0.0 6744.0 122880.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0