Input: 0.056631632 0.008296136 0.006164677 0.0056669917 0.00575494 0.004966507 0.004200837 0.005425909 0.00503997 0.0056204307 0.0037507475 0.0044719256 0.004953056 0.0031692523 0.004317757 0.0046436843 0.0050347964 0.003772476 0.004935466 0.0041594496 0.0043498324 0.0031682176 0.004104611 0.003845939 0.0050730803 0.0033554963 0.0031589055 0.0029416208 0.0041594496 0.003446549 0.0037962738 0.0037911003 0.0061657117 0.0038107596 0.0034889712 0.0030254305 0.004897183 0.0041708313 0.0038480083 0.0037269497 0.0047264593 0.0038987081 0.0033285944 0.0030885467 0.0043705264 0.0037300538 0.0037269497 0.0035831279 0.005515927 0.0039473386 0.003104067 0.0029074762 0.0036834928 0.0030709568 0.002688122 0.0028609151 0.0041635884 0.0033130741 0.003520012 0.0033523922 0.004006316 0.003230299 0.0035024222 0.0034620694 0.006597177 0.003952512 0.0036255503 0.0032230562 0.0041563455 0.0032282297 0.003550018 0.0030668182 0.004993409 0.0037766148 0.0037052212 0.0035872667 0.004122201 0.003123726 0.0035613994 0.0034631041 0.0051744794 0.003632793 0.003652452 0.0033410108 0.0039235405 0.003373086 0.003363774 0.0035334628 0.0046498924 0.0036421053 0.0038086902 0.0035075957 0.0041128886 0.0033886065 0.0036876316 0.003782823 0.0059101433 0.0036286542 0.0033348026 0.0029561063 0.004002177 0.0030492283 0.0032675478 0.003030604 0.004976854 0.0031713217 0.0032013278 0.003050263 0.0035748505 0.0028340132 0.003080269 0.0031940849 0.004500897 0.0032872069 0.0032313338 0.0031413157 0.0038987081 0.0033316985 0.003283068 0.0036214115 0.004616782 0.003290311 0.0034806938 0.003173391 0.0040404606 0.0031982237 0.0034641386 0.003339976 0.008631376 0.004598158 0.0040104543 0.00352622 0.0043601794 0.0034393063 0.0030202572 0.0033803289 0.0045350417 0.0038449042 0.0029623145 0.0031930502 0.0037341926 0.0028040071 0.0028464294 0.0029809389 0.0052251793 0.0032044319 0.0034951793 0.0030264652 0.0036565908 0.0031827034 0.003306866 0.0032623743 0.0045402152 0.0028422906 0.0030378469 0.002707781 0.0035148384 0.0032282297 0.0029819736 0.0031464892 0.0050120335 0.003410335 0.0032727213 0.0027998684 0.0037817883 0.0030119796 0.0030595753 0.003183738 0.004129444 0.0030068061 0.0031195872 0.0030119796 0.003646244 0.0028371173 0.002920927 0.003030604 0.0046654125 0.0031133792 0.0038438695 0.0028505682 0.00355933 0.0031558014 0.0029850777 0.003123726 0.0042536063 0.003153732 0.0033348026 0.0031878767 0.003652452 0.0031951196 0.0033316985 0.0033461843 0.0067182356 0.004072536 0.0037197068 0.0033327332 0.004119097 0.0032592702 0.0033079006 0.003227195 0.0043312083 0.003336872 0.003116483 0.003080269 0.003646244 0.0029809389 0.0030864773 0.0028019377 0.004247398 0.0032789293 0.0030926855 0.0029964594 0.0037072906 0.0030295693 0.002940586 0.002947829 0.003982518 0.0031092404 0.002724336 0.0026384569 0.0035293242 0.0029416208 0.0035831279 0.0028919557 0.0049551255 0.003233403 0.0034010226 0.0029695574 0.0038086902 0.0030730262 0.0031961543 0.0029126494 0.0044470932 0.005452811 0.003476555 0.003130969 0.003792135 0.0030926855 0.0032509929 0.0032023625 0.0046116086 0.0033213517 0.0034217164 0.0030430204 0.0037404008 0.0030885467 0.0033089353 0.0032427153 0.0043560406 0.003040951 0.0031930502 0.0028650537 0.0040073507 0.0030895814 0.004218427 0.004511244 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 0.099186406 0.062025715 0.06246164 0.055330247 0.060586788 0.059563573 0.054928012 0.054466683 0.060471196 0.053138167 0.05214087 0.052967113 0.056440026 0.050566137 0.05670231 0.05382342 4028.0 5.7033267 22973.0 0.017194098 0.010403518 0.009358812 0.008792931 0.013407043 0.012492927 0.011796457 0.0115788095 0.012579985 0.009794106 0.008444696 0.008575284 0.013929395 0.010534105 0.011796457 0.010055282 0.016758803 0.011883516 0.008749401 0.0075305793 0.009794106 0.008488226 0.0077917557 0.008357638 0.010359988 0.008401167 0.0096199885 0.00883646 0.0116223395 0.0089670485 0.009663518 0.009184695 0.018021155 0.010925869 0.010359988 0.009054107 0.010969399 0.008792931 0.010664693 0.008270578 0.014190571 0.0115788095 0.009707048 0.0089235185 0.011448222 0.009315283 0.011665869 0.00953293 0.014799982 0.0096199885 0.009968224 0.009054107 0.012057633 0.009358812 0.009576459 0.009750577 0.013711749 0.009228225 0.010490576 0.009576459 0.011143517 0.009794106 0.010403518 0.010664693 0.017934097 0.010969399 0.009663518 0.008227049 0.013102338 0.008227049 0.009358812 0.008314108 0.015409393 0.009271754 0.008879989 0.008705872 0.011361163 0.008052932 0.009881165 0.007878814 0.013276455 0.008052932 0.008705872 0.008792931 0.0115788095 0.0094894 0.008227049 0.007922344 0.01088234 0.0089235185 0.011927045 0.008531755 0.011361163 0.009010578 0.009924694 0.008792931 6.5545325 0.0 0.0 0.0 14.0 966474.0 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: 0.7727983 0.0011897055 0.0009855449 0.0010674777 0.0013915155 0.0010699962 0.0009496153 0.00087171193 0.0012860773 0.0008408192 0.0008376292 0.0008733909 0.001087793 0.0008567693 0.0008419945 0.0012387309 0.0010258397 0.0008099265 0.00079162593 0.0007958233 0.0009266137 0.0008495498 0.0008001886 0.00079750223 0.00088463986 0.00081210915 0.0007933049 0.00079481595 0.00086079875 0.0007704711 0.00079078646 0.00084031554 0.0009665727 0.0007993491 0.0008213434 0.00082251866 0.0009017652 0.0007896112 0.00077315746 0.00079380855 0.0008381329 0.00077215006 0.00079347275 0.0009371911 0.00080791174 0.0008440092 0.0008025391 0.0007711427 0.0008487103 0.0007785301 0.00079112226 0.0010337308 0.0008750698 0.0008099265 0.0007896112 0.0007953196 0.0008309134 0.0008414908 0.00078726065 0.0009378627 0.0008178176 0.000812277 0.00079414435 0.0008178176 0.0010065318 0.0009776538 0.00087708456 0.001352396 0.000956499 0.0014492715 0.00090596254 0.0009049552 0.00085038925 0.00081110175 0.00079028273 0.000801196 0.0008282271 0.0012783541 0.00085760874 0.0008132844 0.001087961 0.0008858151 0.0008119412 0.0009193942 0.00086382084 0.0012281535 0.0010056923 0.00095465215 0.00082285446 0.00095851376 0.00078373484 0.0008344392 0.00078625325 0.0010261756 0.0009427316 0.00088850147 0.0008320887 0.0009017652 0.0008099265 0.00088245724 0.0008829609 0.0010325556 0.0009291321 0.000807576 0.00091368577 0.0009061305 0.0009576743 0.00079817383 0.000887662 0.00079515175 0.00091654 0.00094592164 0.0008613024 0.0007939765 0.0009927644 0.0009158684 0.0013077358 0.0013221748 0.0008707046 0.0008216792 0.00082554074 0.0008490461 0.000793137 0.00078390277 0.0008097586 0.0009360158 0.0008418266 0.0008112697 0.0008779241 0.0008488782 0.0007896112 0.0012743246 0.00088111404 0.001070332 0.0007921296 0.0008188249 0.00088833354 0.0014506147 0.0007993491 0.0025928058 0.0007921296 0.0011060936 0.0007886038 0.0007855817 0.0008564335 0.00079112226 0.00076560216 0.0007954875 0.0007924654 0.00079750223 0.000781888 0.00076577003 0.00079733436 0.0007820559 0.000793137 0.0007677848 0.00081832125 0.00079800596 0.0007924654 0.0007959912 0.0008210076 0.0008003565 0.0007650985 0.00080891914 0.00080791174 0.00079347275 0.0007763475 0.0007924654 0.0008376292 0.00090159726 0.00078759645 0.0007860854 0.00082285446 0.00077315746 0.0007506595 0.00077718694 0.0008557619 0.0007961591 0.0007842385 0.0008053933 0.0008273876 0.00078625325 0.0008695293 0.00089185935 0.0008757414 0.0007961591 0.00080673647 0.0008112697 0.000817146 0.0008003565 0.0007896112 0.00080807967 0.0011541117 0.00096321484 0.00090562674 0.0010087144 0.0008737267 0.0007892754 0.00089504936 0.00091889047 0.000911671 0.0008613024 0.0008213434 0.000793137 0.000991757 0.00078071275 0.0008560977 0.00084652763 0.00090915256 0.00081932865 0.000826716 0.0008109339 0.0008278913 0.00078692485 0.0008253729 0.0007849101 0.0008834646 0.00081580284 0.0007812164 0.00082839496 0.000876413 0.0008247013 0.00080522546 0.000780209 0.00091015996 0.0008001886 0.0007968307 0.0007568716 0.00085979135 0.00084736716 0.0007686243 0.0007870928 0.0015666302 0.00088883727 0.0007859175 0.001043133 0.0010777194 0.0007936407 0.00079834176 0.00075452105 0.0010305408 0.00084316975 0.0007954875 0.00081076595 0.0008772525 0.00079061853 0.0008948815 0.000844345 0.0009675801 0.0008490461 0.0008198323 0.0007943123 0.0010102255 0.0008545866 0.000991757 0.002734845 0.0027515048 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00015290802 2.1832009e-06 1.5954159e-06 3.3587705e-07 4.282432e-06 6.717541e-07 4.282432e-06 1.0916004e-06 6.717541e-07 4.1984632e-07 5.877848e-07 3.3587705e-07 2.5190778e-07 0.0 3.3587705e-07 2.0152622e-06 0.0039183414 4.626706e-05 4.9541864e-05 4.433577e-05 5.0465525e-05 4.9038048e-05 4.744263e-05 5.2816664e-05 4.9625833e-05 4.7106754e-05 4.8198355e-05 4.5679277e-05 4.542737e-05 4.8450263e-05 4.8198355e-05 5.222888e-05 0.7077744 0.010481799 0.01056476 0.010584157 0.010560058 0.010554936 0.010556867 0.010512448 0.010506318 0.010534784 0.010531761 0.010609348 0.010535707 0.0105773555 0.0105397375 0.010611699 0.057671096 0.001071028 0.0010557455 0.0010237532 0.0010799287 0.0010446616 0.0010771577 0.0010696005 0.0010318982 0.0010559974 0.0010455012 0.0010612035 0.0010338295 0.0010139288 0.0010485242 0.0010469287 0.0066266023 0.0001571065 0.00018036597 0.00014652636 0.0003537625 0.00015223627 0.00024796123 0.00018145757 0.00013015236 0.00013468669 0.00011201499 0.00013854928 0.00016625914 0.00014703018 0.00013485464 0.00027676267 0.0007515249 2.1328193e-05 3.7702197e-05 2.4519024e-05 7.288532e-05 2.1915977e-05 5.9450238e-05 3.736632e-05 2.1915977e-05 1.6793852e-05 1.0496157e-05 1.4946529e-05 1.6206068e-05 1.7549575e-05 1.5534313e-05 6.36487e-05 0.0009459137 3.1152595e-05 4.8366295e-05 4.198463e-05 0.00020555675 7.901507e-05 0.00041044175 0.00022361014 3.1152595e-05 5.105331e-05 2.619841e-05 2.6702224e-05 2.48549e-05 1.9564837e-05 2.2923608e-05 4.7106754e-05 0.000652861 3.073275e-05 7.557234e-05 2.8885426e-05 0.00014333552 5.810673e-05 0.00035552584 0.00021479337 1.687782e-05 3.5435027e-05 1.5282405e-05 2.3091547e-05 1.9480869e-05 1.595416e-05 1.17556965e-05 2.1999946e-05 0.00037769374 1.603813e-05 2.48549e-05 2.7457949e-05 0.00010227456 4.2908294e-05 0.0001622286 9.421351e-05 2.8969394e-05 2.393124e-05 1.0832035e-05 2.0152622e-05 3.3167857e-05 1.2931266e-05 1.704576e-05 3.7114412e-05 0.00042824322 2.8297642e-05 3.8206013e-05 1.37709585e-05 0.00010454173 7.6663935e-05 2.3175517e-05 2.7541917e-05 0.0001207478 1.2175543e-05 1.8305298e-05 4.3747983e-05 9.975548e-05 3.1236566e-05 6.877082e-05 6.860289e-05 0.0021354223 0.00034183887 0.0002179842 0.00033184653 0.0007280135 0.00080157054 0.0002805413 0.0005562124 0.0014516605 0.000108572254 0.00013586227 0.0001791904 0.0006396778 0.00019388502 0.0006734335 0.0011984933 0.0034671747 0.00063766254 0.00048425072 0.0006386702 0.0015905458 0.0014786148 0.00052648725 0.0011111653 0.002704314 0.00020891552 0.00039406773 0.0005007087 0.0012953099 0.00065210526 0.0012111727 0.0020154302 0.0005001209 0.00047946448 0.00045746454 0.00045788437 0.0004673729 0.00044293786 0.000447976 0.00045628895 0.00046527368 0.00046451794 0.00045502943 0.00046073933 0.00046359428 0.00045981567 0.00044562487 0.00047056374 913.0 14.698795 13420.0 0.026602086 0.0011177347 0.0016393443 0.001490313 0.0028315946 0.0014157973 0.0007451565 0.004396423 0.003353204 0.001266766 0.0011177347 0.0018628913 0.002533532 0.0022354694 0.008792846 0.0016393443 0.0029061104 0.0020864382 0.0015648286 0.0020119224 0.0013412817 0.0013412817 0.0016393443 0.0011177347 0.0022354694 0.0040983604 0.0015648286 0.0054396424 0.0020864382 0.0011177347 0.0017883755 0.00871833 0.0280924 0.014157973 0.003576751 0.013859911 0.008792846 0.0058867363 0.0069299554 0.010208644 0.0061847987 0.0070789866 0.001490313 0.0021609538 0.0047690016 0.0036512667 0.004918033 0.0029061104 0.012667661 0.003576751 0.0041728765 0.010581222 0.0077496273 0.0039493293 0.012369597 0.008122206 0.004694486 0.002757079 0.0015648286 0.0022354694 0.0011922504 0.002757079 0.0030551415 0.0153502235 0.0047690016 0.042026825 0.008345753 0.040014904 0.028390462 0.08517139 0.007228018 0.00923994 0.0106557375 0.036140088 0.0041728765 0.005663189 0.0318927 0.010432191 0.045007452 0.05611028 0.014679583 0.0018628913 0.063412815 0.032265276 0.060506705 0.025633384 0.007377049 0.004023845 0.008569299 0.016318927 0.0026080478 0.0011177347 0.0021609538 0.001266766 0.004694486 0.0026825634 5.5651007 0.0 0.0 0.0 10.0 5956096.0 12632064.0 0.0 0.0 116.0 0.0 1.0 0.0 0.0 0.0 1433747100.0 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 12.0 0.0 5.0 10.0 5.0 0.0 209408.0 1024.0 4096.0 6.0 0.0 0.0 1.0 2.0 0.0 0.0 0.0 0.0 -4228096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 45056.0 0.0 0.0 0.0 0.0 0.0 -1443840.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -9728.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -209408.0 0.0 18944.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.2770922 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4.7812757 0.0 0.0 0.0 0.0 0.0 -2.57919 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.499384 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.30761 0.0 0.3528607 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4227952.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 44564.0 0.0 0.0 0.0 0.0 0.0 -1443768.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6667212.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -209321.0 0.0 21256.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 -1.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 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 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 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 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 -1.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 2.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 258756.0 776.0 12607488.0 0.0 0.0 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 244232.0 0.0 0.0 476.0 217088.0 0.0 0.0 0.0 0.0


Input: 0.20304686 0.011129246 0.005432981 0.00587406 0.007483133 0.003424787 0.0033146483 0.0024886085 0.00974622 0.0013006848 0.0015094237 0.0017616936 0.0063434606 0.0017380924 0.0016484081 0.0056653214 0.0051922495 0.0011197428 0.00097551354 0.0013751595 0.0028017168 0.004041039 0.0009230666 0.0015755069 0.0049174274 0.0032910472 0.0010709671 0.0008931718 0.0021629129 0.0009644997 0.0007416001 0.00084964087 0.0045377114 0.0006534892 0.0011244629 0.00080138963 0.0029936729 0.0008412493 0.00065401365 0.0006445732 0.0017517287 0.0033482143 0.0005737698 0.002453469 0.0016421145 0.00068181055 0.00079876726 0.0005281409 0.0035658693 0.002287212 0.002401022 0.007896939 0.003506604 0.002869898 0.002581964 0.002287212 0.0033828293 0.005404135 0.0021928076 0.0061352463 0.0032223416 0.0027775913 0.002186514 0.0027083613 0.008376305 0.002781787 0.0022169333 0.0023742742 0.0027141306 0.012749857 0.004489985 0.0024749723 0.0030985668 0.0011973642 0.0013316284 0.0016588975 0.0022898344 0.007549216 0.0016693869 0.0010295339 0.009977511 0.0024650074 0.0017616936 0.009304617 0.0029443726 0.0045791445 0.0068726502 0.006113218 0.003414822 0.0029186737 0.00055803574 0.001442816 0.0018440353 0.0040305494 0.0030387773 0.0023228761 0.0016998062 0.0013877467 0.0007589076 0.0009230666 0.0022929814 0.00251693 0.0021812692 0.0007846066 0.00419838 0.0011428194 0.0059695137 0.001028485 0.0021492767 0.00083757803 0.0012293569 0.0014700885 0.002576195 0.00083757803 0.001555577 0.0016090729 0.0107789 0.013098105 0.0022310938 0.0011176448 0.0022840654 0.0013227125 0.0007143277 0.00068495737 0.0020611656 0.004095059 0.0016819742 0.0010510372 0.002565181 0.0018938599 0.0007494671 0.009321923 0.0028158776 0.008876649 0.0026973474 0.0012298813 0.0024151828 0.013209293 0.00085541 0.03960113 0.0017244562 0.011836756 0.002247877 0.0008360046 0.004855016 0.0005564623 0.00092568895 0.0010158977 0.0015807515 0.0009587305 0.00053548353 0.00053443457 0.001659422 0.0008889761 0.0005234207 0.00054387504 0.0014433404 0.00063460827 0.001417117 0.0006031401 0.0017821479 0.0014931652 0.0006923 0.00088268245 0.0016179889 0.0038721594 0.0015304025 0.0012487622 0.0019714814 0.00070593617 0.0004992951 0.0006120561 0.0015854718 0.0005249941 0.0005947486 0.00065139134 0.001737568 0.0006639786 0.0006167763 0.0009786604 0.0015676398 0.0011853015 0.0015949123 0.0009655486 0.0032559077 0.0009854785 0.0006382796 0.00094981457 0.0017569733 0.0010022615 0.00196781 0.000950339 0.008716161 0.0029323099 0.0038354467 0.0035899947 0.0027261933 0.00091205275 0.0027157038 0.0032868513 0.0038207613 0.0026134322 0.00090208784 0.001970957 0.0054880506 0.0009697444 0.00400013 0.0020365156 0.0023983996 0.0014564522 0.001122365 0.00091834634 0.0021456054 0.0008244663 0.0012503357 0.0014674661 0.0028625554 0.0013158944 0.0008071588 0.0015183396 0.0025756704 0.0012749857 0.00077936193 0.0009388007 0.0031510137 0.00092883577 0.0028683245 0.00074894266 0.0026538165 0.001037401 0.0009781359 0.0007998162 0.02121165 0.0035564287 0.0008590813 0.0044239014 0.0071333116 0.0011732386 0.0010158977 0.0010006881 0.005217424 0.0030193718 0.0020003272 0.0028772405 0.003440521 0.0018010288 0.003287376 0.0025043427 0.0048859594 0.0023464772 0.0019169366 0.003041924 0.007155864 0.002350673 0.006825448 0.072881356 0.03224073 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0010293 1.23316595e-05 9.445526e-06 6.2970175e-06 3.4108846e-06 2.6237575e-07 7.0841447e-06 6.2970175e-06 2.6237575e-07 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0004906426 7.871272e-07 0.0 2.6237575e-07 1.3118787e-06 0.0 0.0 1.049503e-06 5.247515e-07 0.0 5.5098903e-06 5.5098903e-06 2.6237574e-06 4.198012e-06 3.935636e-06 2.0990059e-05 0.0013824578 1.0757405e-05 7.3465208e-06 1.1544533e-05 9.970278e-06 9.970278e-06 5.2475148e-06 6.2970175e-06 9.707903e-06 3.1485088e-06 9.970278e-06 1.46930415e-05 8.920775e-06 4.198012e-06 5.5098903e-06 0.00011229682 0.0038540373 7.162858e-05 0.00013591064 9.5504765e-05 6.0084043e-05 3.1485088e-06 3.4108846e-06 1.2069284e-05 2.7811828e-05 5.5098903e-06 4.198012e-06 1.04950295e-05 7.7400844e-05 4.722763e-06 1.9415806e-05 0.00045076152 0.00243852 3.279697e-05 4.2242493e-05 3.1222713e-05 1.7054423e-05 1.2069284e-05 1.5742544e-05 1.9415806e-05 2.6499949e-05 1.1544533e-05 2.6499949e-05 3.6732603e-05 2.9386083e-05 2.8074204e-05 3.200984e-05 0.00042426158 0.00543249 0.00010888593 0.00014535616 0.00011203444 9.707902e-05 0.0002356134 0.00012908886 0.00010285129 7.110382e-05 8.3960236e-05 4.8277136e-05 5.4836528e-05 8.238598e-05 0.00014456903 6.716819e-05 0.00060713745 0.019791527 0.0007210085 0.000724157 0.00039671213 0.0003880537 0.0019074716 0.00044498924 0.00029832122 0.00015637594 0.0005874593 0.00019730655 0.00019756894 0.00019756894 0.00028179155 0.00029700933 0.0029666824 0.013351252 0.0005751276 0.0003849052 0.00034213797 0.0006005781 0.001670284 0.0005097961 0.0004260982 0.00038647946 0.00022538076 0.0002833658 0.0003027816 0.0002930737 0.00029464797 0.00026657374 0.0026560295 0.0066134427 0.00019153429 0.00017343037 0.0001881234 0.0012239828 0.00058929593 0.0024290746 0.0013126659 0.00029832122 0.00033347958 0.00024794508 0.00033164292 0.00038621709 0.00045679617 0.000618682 0.003949804 0.009748046 0.00043895462 0.00034030134 0.00032167265 0.0014711408 0.0005633207 0.0007480332 0.00071103824 0.00075459265 0.00096213183 0.0004906426 0.0007029046 0.0011308395 0.00088814186 0.0011051266 0.007027734 0.025788387 0.0032699888 0.0029420191 0.029305533 0.010025115 0.0041447496 0.0057843355 0.004330249 0.0036858544 0.0036884781 0.002756257 0.0029443805 0.0037212751 0.0032810087 0.0034017013 0.007534644 0.017908456 0.001996417 0.0013522846 0.0013892795 0.008475261 0.0023028718 0.003514523 0.0026751831 0.0038661065 0.0016314524 0.0014472646 0.0017946501 0.0029092222 0.0019888082 0.0026799059 0.008549776 0.052610535 0.006972635 0.0051336437 0.008262212 0.0116933 0.01825243 0.0057906327 0.012511912 0.03579907 0.0041817445 0.004453566 0.0057940437 0.0142149925 0.0050541437 0.016075762 0.037691586 0.07866812 0.018392015 0.012562025 0.014894546 0.023842609 0.033846207 0.01111686 0.025215095 0.05765471 0.006905992 0.010240001 0.008585721 0.02738573 0.011168548 0.028914856 0.05349789 0.00024164806 0.000109410685 8.317311e-05 7.818797e-05 0.00011597008 8.238598e-05 7.294046e-05 8.7633496e-05 0.00019153429 6.454443e-05 6.349493e-05 5.0900893e-05 0.000102326536 6.034642e-05 8.00246e-05 0.0001275146 5986.0 12.986135 77735.0 0.012825626 0.0011577796 0.0015179778 0.0013636071 0.009416608 0.0024956584 0.0013121503 0.002122596 0.008297421 0.001595163 0.0011963723 0.0022126455 0.008773397 0.0017881263 0.0066379365 0.0011063227 0.024570657 0.018125683 0.01753393 0.018408697 0.024068952 0.018537339 0.017662572 0.019412106 0.024789348 0.02418473 0.01735383 0.018923266 0.02500804 0.018743167 0.017636843 0.022731073 0.021135911 0.01439506 0.006908085 0.01966939 0.013443108 0.008040137 0.009403744 0.005904676 0.011423426 0.0069852704 0.0009905448 0.0017881263 0.01192513 0.009918313 0.0037434874 0.0058274907 0.01835724 0.0035119315 0.0062648742 0.010574387 0.01604168 0.0041036857 0.009712485 0.008207371 0.0103685595 0.0019296327 0.001595163 0.001942497 0.010046954 0.002482794 0.0030745482 0.0071010482 0.008413198 0.01884608 0.005595935 0.009905448 0.016363285 0.032263458 0.0036277096 0.0056988485 0.012478292 0.015578568 0.003589117 0.0034476104 0.022100726 0.007602753 0.016672026 0.023425741 0.014600888 0.0013507429 0.020016724 0.011629254 0.038721297 0.010986042 0.003241783 0.0035247959 0.011513475 0.0044638836 0.001415064 0.0015179778 0.008168778 0.0016337557 0.001942497 0.0013378786 6.138154 1.0 0.0 0.0 5.0 1906688.0 1990656.0 1.0 0.0 578.0 1.0 1.0 0.0 0.0 0.0 1323168800.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 10.0 0.0 5.0 1.0 5.0 1.0 1279488.0 1024.0 4096.0 5.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -166400.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 257536.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -38400.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1279488.0 0.0 163840.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.906935 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.1130385 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.78471 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.613349 0.0 5.014813 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -166124.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 257462.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -110848.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1279225.0 0.0 163480.0 0.0 0.0 0.0 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 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 -3.0 2.0 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 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 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 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 -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 1.0 1.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 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 1.0 -1.0 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 1.0 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 3.0 -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 -2.0 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 -2.0 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 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 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 -2.0 -1.0 -1.0 -1.0 -1.0 0.0 0.0 2.0 0.0 0.0 1.0 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 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 -1.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 -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 2.0 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 -1.0 -1.0 -2.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -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 1.0 0.0 1.0 -1.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 1.0 -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 -1.0 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 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 1.0 0.0 -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 1.0 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 1530644.0 163480.0 1658880.0 0.0 0.0 0.0 0.0 103596.0 1822720.0 28.0 1289488.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 1447544.0 0.0 0.0 2376.0 1286144.0 0.0 0.0 0.0 0.0


Input: 0.26885784 0.010557513 0.0048057917 0.008574868 0.0144203035 0.00491122 0.004466077 0.0029168606 0.009532511 0.0017307878 0.0045041484 0.0015316447 0.0062671504 0.0030135037 0.0011245728 0.0066185794 0.0057634357 0.0011099299 0.0010630727 0.00088150107 0.0032887897 0.0030369323 0.0010162155 0.00085221534 0.0022960028 0.0009137154 0.00059450074 0.00082292955 0.0016107162 0.0008668582 0.0005710721 0.0010103583 0.016455663 0.00059450074 0.0010455013 0.00074092945 0.0052333637 0.0014701446 0.00045100055 0.00080242957 0.0015404305 0.0005622864 0.000702858 0.0019504309 0.0011948586 0.0007350723 0.003086718 0.00073214376 0.003921362 0.0012182872 0.000861001 0.0063960077 0.0012241444 0.0014525732 0.00057985785 0.0006237865 0.0018596451 0.0025683602 0.0008463582 0.0044602198 0.0012270729 0.003086718 0.0011362871 0.0012212158 0.007895438 0.0038540047 0.0061646504 0.01064537 0.0035084328 0.010250012 0.00357579 0.001812788 0.0019885025 0.0021407884 0.000998644 0.0007262866 0.0018215736 0.00591865 0.0022374312 0.0012124301 0.008041867 0.0022081456 0.0012241444 0.004920006 0.002170074 0.0028992891 0.005822007 0.004334291 0.001350073 0.0038774332 0.00047442914 0.0012973588 0.0011421442 0.0026181461 0.002969575 0.002164217 0.0010630727 0.009353869 0.0013178587 0.0033063611 0.0036782902 0.013453874 0.004264005 0.0020734312 0.004149791 0.008246867 0.005546721 0.0018332879 0.005745864 0.0026884319 0.00811801 0.0065570795 0.004363577 0.00052421493 0.007842724 0.0070578656 0.01800488 0.014850804 0.003142361 0.0017337163 0.0018010737 0.0014877161 0.0011802157 0.00044807198 0.0015843591 0.0034703615 0.0016487878 0.0012212158 0.0029256465 0.0017688593 0.0006999294 0.011521014 0.0019885025 0.0070988657 0.00081121526 0.0004773577 0.0016253591 0.008861868 0.0009488583 0.024427244 0.0008668582 0.0076992237 0.0006325722 0.0005271435 0.0010630727 0.00047150056 0.00052421493 0.0007380009 0.0008697868 0.0005974293 0.00038950046 0.00036021473 0.0006794294 0.0011743585 0.00023721457 0.00023721457 0.00068528653 0.00026942889 0.00029578607 0.00072042947 0.0008697868 0.0009254297 0.00036900045 0.00076728663 0.00065892935 0.0011655728 0.0002811432 0.00023721457 0.0008170724 0.00033385755 0.00032507183 0.00036021473 0.0007643581 0.00038950046 0.00060328643 0.00038071474 0.00091957254 0.00059157214 0.00055350066 0.00033092898 0.0007760724 0.0005827864 0.0015052876 0.001350073 0.002307717 0.0007848581 0.00052421493 0.000544715 0.0008727153 0.00065892935 0.0009137154 0.00082292955 0.0070578656 0.0028202177 0.0032917182 0.0054617925 0.0025712887 0.00091957254 0.0027528605 0.0034908613 0.0022813599 0.0020382882 0.00077021524 0.00084928673 0.0024160743 0.0007116437 0.0016224305 0.0010513584 0.0015199304 0.0008053581 0.0011187156 0.0008082867 0.0010279298 0.0004451434 0.0007145723 0.0007731438 0.0015521448 0.0006150007 0.00052421493 0.0015023589 0.0013354302 0.00073214376 0.00060621504 0.0005593578 0.0029959322 0.0011421442 0.0016341448 0.0006413579 0.0026855033 0.0003748576 0.00055350066 0.00047442914 0.016968163 0.003259504 0.00068821514 0.0044982913 0.00435772 0.00075850094 0.0006911437 0.0005505721 0.004445577 0.0016224305 0.0011567872 0.0009898583 0.0016956449 0.000468572 0.003086718 0.001812788 0.0036900046 0.0010367156 0.0006999294 0.0010279298 0.0050400775 0.001701502 0.0040267906 0.051460918 0.021044627 0.0 1.4707266e-06 0.0 2.9414532e-06 1.4707266e-06 2.0590172e-05 1.1765813e-05 0.0 0.0 0.0 1.4707266e-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 0.013355669 0.00020737246 0.00015295557 0.000108833774 0.0001382483 0.00010000941 0.00011471668 0.00014118975 0.00029708678 3.3826713e-05 5.735834e-05 6.324125e-05 4.853398e-05 5.1475432e-05 0.00013530685 5.4416887e-05 0.0051284237 3.088526e-05 2.5002353e-05 0.00010148014 0.00019707737 5.735834e-05 3.2355987e-05 3.088526e-05 3.529744e-05 1.1765813e-05 1.9119447e-05 5.294616e-05 4.853398e-05 3.2355987e-05 7.941924e-05 0.00014118975 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0060991035 0.00016766285 0.00022207973 5.1475432e-05 0.00019266519 8.6772874e-05 0.0001161874 0.000117658135 0.00033238422 0.0001823701 5.4416887e-05 3.2355987e-05 8.383142e-05 4.5592526e-05 4.853398e-05 0.0012030544 0.046301417 0.0007280097 0.0030576407 0.0008515507 0.0048298663 0.0010148014 0.008586102 0.0043430557 0.00039709618 0.00039856692 0.00061476376 0.0003588573 0.00063241244 0.00035150367 0.00043974727 0.005407862 0.06266031 0.0005074007 0.007203619 0.0036797582 0.004562194 0.0018031109 0.019962173 0.010190665 0.00064123684 0.00032355986 0.00026031863 0.0006750635 0.00084125565 0.0003191477 0.00062652957 0.0032135379 0.05766131 0.00097362103 0.0070506637 0.0038812477 0.006472668 0.0031723573 0.023227187 0.012095256 0.0011412839 0.00050004706 0.00053828594 0.0012207031 0.0014060147 0.0009986234 0.001291298 0.0018634107 0.021181405 0.0004750447 0.0028429145 0.001479551 0.0043430557 0.0015148484 0.008953784 0.0052696136 0.00073536334 0.00047798618 0.00041768636 0.0007603657 0.0009250871 0.00070447807 0.00066476845 0.0004588667 0.0121511435 0.00052799087 0.00066476845 0.0009412651 0.002803205 0.0006397661 0.0028605633 0.0016266237 0.0011501083 0.0012309982 0.00039121328 0.00039121328 0.0014545487 0.0004588667 0.0009530309 0.0018751764 0.0010339208 7.941924e-05 0.00016766285 6.61827e-05 0.0005147543 0.00013971904 0.0004191571 0.00024414062 1.4707267e-05 2.3531626e-05 1.764872e-05 1.9119447e-05 6.7653426e-05 3.8238893e-05 5.1475432e-05 0.00011471668 0.032582477 0.005718185 0.00414892 0.004804864 0.013355669 0.010077419 0.0044107093 0.009361175 0.02115052 0.002076666 0.0017501647 0.0034885637 0.009687676 0.0032694254 0.010931911 0.022824207 0.07444818 0.016225057 0.0115907965 0.016482433 0.027434936 0.028914487 0.012654132 0.026983421 0.047148556 0.0040003764 0.005106363 0.006958008 0.025008237 0.008377259 0.027149614 0.04706031 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1132.0 14.416078 16319.0 0.030822966 0.0007353392 0.0026349653 0.0005515044 0.0021447393 0.00042894785 0.0005515044 0.0028800785 0.0024511307 0.0007966174 0.0008578957 0.0011030087 0.0026962436 0.0031864697 0.011581592 0.003492861 0.018567314 0.0045958697 0.0036154175 0.0039830874 0.002512409 0.001838348 0.0025736871 0.0015932348 0.0019609046 0.004779705 0.0031251914 0.0022672957 0.0020221828 0.002083461 0.0017770696 0.005086096 0.014216557 0.020712053 0.002512409 0.017954532 0.01868987 0.007966175 0.006985722 0.014277835 0.0035541393 0.012378209 0.001164287 0.0015932348 0.0059439917 0.006311661 0.00882407 0.0042282003 0.018322201 0.0028188003 0.0058214352 0.029229732 0.008272566 0.0055150436 0.026410932 0.025491757 0.0070470003 0.003676696 0.0012868436 0.0022672957 0.0045345915 0.0022672957 0.0033703046 0.005760157 0.0031251914 0.03431583 0.007659783 0.028494393 0.01801581 0.07279858 0.008578957 0.012562044 0.010356027 0.040688768 0.003921809 0.0031864697 0.02965868 0.01593235 0.03572523 0.04277223 0.017219193 0.0008578957 0.042465836 0.031374473 0.058091793 0.017403027 0.008150009 0.0061891046 0.007966175 0.008272566 0.0014094001 0.00024511307 0.0006740609 0.0005515044 0.0015319566 0.0011030087 5.7019157 0.0 13.0 0.0 3.0 341463.0 352256.0 1.0 0.0 309.0 0.0 1.0 1.0 0.0 0.0 1213254700.0 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 184320.0 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 49152.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -12288.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -184320.0 0.0 86016.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4.879022 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.9772918 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.6576614 0.0 4.453736 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 47136.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -24664.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -180573.0 0.0 85272.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 1.0 0.0 -1.0 -1.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 -1.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 1.0 0.0 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 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 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 -2.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -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 -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 2.0 0.0 -2.0 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 0.0 0.0 0.0 -1.0 2.0 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 -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 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 1.0 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 -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 0.0 -1.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 -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 0.0 -2.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 -1.0 -1.0 0.0 1.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 -2.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 -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 -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 0.0 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 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 -1.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 1.0 0.0 0.0 -2.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 -1.0 1.0 0.0 2.0 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 -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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 2.0 0.0 1.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 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 -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 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 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 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 -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 0.0 1.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 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 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 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 -1.0 0.0 2.0 -1.0 0.0 0.0 0.0 -1.0 0.0 -2.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 -1.0 0.0 -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 -1.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 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 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 1.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 228500.0 85272.0 266240.0 0.0 0.0 5480.0 335872.0 0.0 0.0 28.0 189904.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 212736.0 0.0 0.0 1320.0 188416.0 64.0 228364.0 0.0 0.0


Input: 0.037680216 0.0042906236 0.00398967 0.003778189 0.0063932324 0.0033430262 0.0035789087 0.0043190923 0.00418895 0.003631779 0.003713118 0.003359294 0.0040628747 0.003355227 0.0033308254 0.007861398 0.003928666 0.0038066576 0.0033389593 0.0035504403 0.0033999635 0.003355227 0.003570775 0.0033999635 0.0034406327 0.0036236453 0.003155947 0.0033186246 0.0036521137 0.003562641 0.0033430262 0.003505704 0.0058970656 0.0033755617 0.0034691014 0.0033267585 0.009634585 0.003367428 0.0033755617 0.003286089 0.0036643145 0.003631779 0.0032738883 0.003290156 0.0037375195 0.0033999635 0.0033267585 0.003286089 0.0041442136 0.004465502 0.0041076113 0.004278423 0.0046566483 0.003924599 0.0039001973 0.0057506557 0.0045305733 0.004115745 0.0031193444 0.0034487667 0.0035301056 0.0033348922 0.0034528337 0.0037537874 0.003631779 0.0034609674 0.0032657543 0.0033958964 0.0043068915 0.004168615 0.0038676618 0.0035951766 0.0033918296 0.0035341724 0.0033755617 0.0034772353 0.0036114443 0.0033145577 0.003432499 0.0033755617 0.0037009171 0.0034569006 0.0034487667 0.0034609674 0.003432499 0.0036195782 0.0034446998 0.003432499 0.003363361 0.0033023567 0.0036683816 0.0034487667 0.0033918296 0.003363361 0.0035138377 0.00921569 0.0048640626 0.004197084 0.0038717287 0.00418895 0.005579844 0.00418895 0.0077190557 0.0032535535 0.0042214855 0.0036724485 0.0034609674 0.003286089 0.003993737 0.0033999635 0.0034569006 0.0037293858 0.0034569006 0.0034446998 0.0036480469 0.0036846492 0.004554975 0.0037578542 0.0035138377 0.003432499 0.0035179048 0.0035260385 0.003570775 0.0032088172 0.0033430262 0.003489436 0.0035463732 0.0032332188 0.003782256 0.00349757 0.0036805824 0.0042296196 0.0037578542 0.0037375195 0.0035545072 0.0037009171 0.00418895 0.0054212334 0.0035219716 0.0039490005 0.0032494864 0.00566525 0.0034569006 0.0036765155 0.0033918296 0.0033023567 0.0034040303 0.003428432 0.0033836956 0.0034040303 0.0032576204 0.0031356122 0.0036602477 0.0035179048 0.0035260385 0.003277955 0.005941802 0.003290156 0.003367428 0.0034650345 0.0033145577 0.003277955 0.0031234114 0.0036683816 0.0033308254 0.0032250849 0.0032372857 0.0034121643 0.0030990096 0.0032616875 0.0033470932 0.0035138377 0.0035097708 0.0032332188 0.0034528337 0.0034609674 0.0034528337 0.0032616875 0.0033470932 0.0033918296 0.0032820222 0.0034528337 0.0035992435 0.0038107245 0.0040262723 0.003432499 0.00404254 0.0036968503 0.0033836956 0.00349757 0.0038961302 0.0031437462 0.0044411006 0.0041808165 0.0035138377 0.003635846 0.003940867 0.0035992435 0.0044044983 0.00404254 0.0037619213 0.0036846492 0.0033104906 0.003359294 0.0033470932 0.0034162311 0.0033348922 0.0035138377 0.0038269924 0.0032494864 0.0040344065 0.0036155113 0.0034446998 0.0033877625 0.0032576204 0.0035504403 0.003778189 0.0033918296 0.0034446998 0.0033186246 0.0033796288 0.0033836956 0.00364398 0.003631779 0.0036155113 0.0033836956 0.0035463732 0.0034406327 0.0033267585 0.0033226914 0.003489436 0.00349757 0.005722187 0.006222421 0.003566708 0.0034446998 0.0034365659 0.003359294 0.0035219716 0.0033389593 0.0034040303 0.0034569006 0.003631779 0.0035504403 0.0033918296 0.00398967 0.0040628747 0.0037171848 0.0040100045 0.004217419 0.0037903897 0.0033796288 0.0036724485 0.0036155113 0.003957134 0.010911605 0.008368201 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.003916465 1.0215089e-05 2.0430178e-05 1.6344142e-05 1.0215089e-05 6.1290534e-06 2.4516214e-05 6.1290534e-06 2.6559232e-05 1.6344142e-05 8.172071e-06 8.172071e-06 3.4731303e-05 2.4516214e-05 1.0215089e-05 4.494639e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0044476497 0.0 0.0027887193 0.0011318319 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 3.0645268e-05 3.0645268e-05 0.0011992514 0.0034200118 4.0860356e-05 0.0020920502 0.0010603262 0.00022473195 3.677432e-05 5.3118463e-05 3.2688284e-05 2.4516214e-05 1.6344142e-05 4.290337e-05 2.0430178e-05 4.290337e-05 0.004388402 7.5591655e-05 0.0012952733 0.0005373137 0.00019817273 0.0002635493 0.00054957176 0.00024311911 0.00016344142 5.9247515e-05 3.0645268e-05 3.4731303e-05 8.784977e-05 5.516148e-05 0.0001368822 0.00024924817 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0022085023 0.00013075313 0.0001368822 0.00012462409 0.00015731237 0.00012258107 0.00012258107 0.00012871012 0.0001368822 0.00013075313 0.00013483917 0.00015118331 0.00013279615 0.00012871012 0.00012462409 0.000112365975 0.0039328095 0.00023699006 0.00037387226 0.000228818 0.00023494705 0.00028397946 0.00046376503 0.00024311911 0.0004024745 0.00024720514 0.0001368822 0.0001940867 0.0003227968 0.00024720514 0.0003248398 0.0004944103 0.0012053805 7.5591655e-05 0.00031462475 9.8064855e-05 0.00017365652 0.000116452014 0.00031462475 6.946261e-05 0.00032688284 0.00015526936 4.9032427e-05 8.784977e-05 0.00021655989 0.00012053805 0.00031666775 0.00054344273 0.008047447 0.0016609734 0.0033566782 0.002402589 0.0019878563 0.0018734473 0.0036345287 0.0013300045 0.0036222704 0.0019183937 0.0009643044 0.0023862447 0.002514955 0.0017038769 0.0029419456 0.005679589 0.06751765 0.053786527 0.056710087 0.053314593 0.05444438 0.053729326 0.059846118 0.054714058 0.0584916 0.05426868 0.052225664 0.053945884 0.05628514 0.054101154 0.05646084 0.059739884 1065.0 10.760564 11460.0 0.04930192 0.005061082 0.006980803 0.0042757415 0.0062827226 0.0042757415 0.0040139616 0.005322862 0.0059336824 0.005671902 0.0041884817 0.0047993017 0.0046247817 0.0035776615 0.0057591624 0.0046247817 0.014746946 0.02661431 0.022687608 0.02774869 0.018062828 0.016666668 0.015794067 0.056631763 0.02469459 0.015968587 0.004363002 0.0055846423 0.0060209422 0.007329843 0.005410122 0.005846422 0.0068935426 0.007940663 0.0041884817 0.004886562 0.0064572426 0.0055846423 0.0061082025 0.007155323 0.0047993017 0.0063699824 0.005148342 0.005846422 0.005671902 0.0059336824 0.0062827226 0.0042757415 0.0067190225 0.005322862 0.004886562 0.006806283 0.004363002 0.004537522 0.004537522 0.0060209422 0.0055846423 0.0041884817 0.0060209422 0.005846422 0.0034031414 0.005148342 0.0041884817 0.12600349 0.004973822 0.020331588 0.011169285 0.02547993 0.015095986 0.02303665 0.014048866 0.0072425827 0.0061954623 0.009685864 0.004712042 0.0042757415 0.010645724 0.0067190225 0.009336824 0.012827225 0.0060209422 0.0067190225 0.013961606 0.009249563 0.014834206 0.009947644 0.005148342 0.0063699824 0.0066317627 0.006980803 0.005235602 0.004886562 0.005061082 0.0062827226 0.005497382 0.005410122 5.9374104 0.0 0.0 0.0 5.0 245885.0 532480.0 0.0 0.0 91.0 0.0 1.0 0.0 0.0 0.0 1364793300.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 9.0 0.0 5.0 0.0 5.0 0.0 33792.0 1024.0 4096.0 10.0 8.0 0.0 3.0 3.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -236544.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1024.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7.917574 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 3.351034 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1000.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 12160.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -236173.0 0.0 0.0 0.0 0.0 -213312.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -33290.0 1000.0 563.0 12256.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 140.0 497084.0 563.0 528384.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 388.0 507904.0 0.0 0.0 0.0 0.0


Input: 0.9252154 0.0006585426 0.00042774496 0.0003446578 0.0006493107 0.00024002955 0.00026772526 0.0003477351 0.00039697194 0.00036619892 0.00030157558 0.00023695224 0.00039081732 0.00021541113 0.00025233874 0.0011662974 0.000489291 0.0003446578 0.0002984983 0.00024310684 0.00041851305 0.00058161 0.00037543083 0.00025541606 0.00040620385 0.00013540128 0.0001538651 0.00015694239 0.00027387985 0.0001846381 0.00012616937 0.000163097 0.001070901 0.0001692516 0.00042159035 0.00017540621 0.000356967 0.0007293205 0.000163097 0.0001661743 0.00029542096 0.00015694239 0.00015078779 0.0001723289 0.00024926144 0.00014155588 0.00022464304 0.00014155588 0.000326194 0.00020002462 0.00019387002 0.0002984983 0.00023695224 0.00022156573 0.00012309208 0.00018771541 0.00027695717 0.00018156081 0.00015694239 0.00013540128 0.00026464797 0.00017540621 0.00014155588 0.00021848844 0.0019971689 0.00020617922 9.539635e-05 0.00041851305 0.0005323732 0.00044928608 0.0003231167 0.00024926144 0.00028003447 0.00019694732 0.0001661743 0.00013847859 0.00037850812 0.00017540621 0.00021541113 0.00023387493 0.00044005417 0.0001600197 0.00019387002 0.00024002955 0.00031696208 0.0001692516 0.00023387493 0.00015078779 0.00028618908 0.00015694239 0.00012616937 0.00012616937 0.00028311176 0.00015078779 0.0001784835 0.00024002955 0.00028618908 0.00044005417 0.0001723289 0.00036619892 0.00058468734 0.0008554899 0.00021848844 0.00015694239 0.0005385278 0.00060930575 0.00022772033 0.00013847859 0.00045236337 0.00031696208 0.00062469224 0.00060007384 0.0005354505 0.00014155588 0.00036619892 0.00045544066 0.0009416544 0.00036312162 0.00021233382 0.00037850812 0.0003108075 0.00017540621 0.00027387985 0.0001538651 0.00024310684 0.00012616937 0.0001846381 0.00024002955 0.0018525356 0.0003538897 0.000163097 0.00025849335 0.000326194 0.0001907927 0.00021233382 0.00020002462 0.00045544066 0.00029542096 0.00018156081 0.00037850812 0.00026464797 0.00026772526 0.0001692516 0.0001907927 0.0017417528 0.00014463319 0.0001784835 0.00018771541 0.00028003447 0.00015078779 0.00014155588 0.00012309208 0.00027387985 0.00028311176 0.00015078779 0.000110782865 0.00025849335 0.000113860166 0.00015078779 0.00014463319 0.00028311176 0.00018156081 0.0001600197 0.0001846381 0.0003446578 0.00028003447 0.00013847859 0.00014771048 0.00028618908 0.0001661743 0.0001784835 0.00021233382 0.00030465287 0.00019387002 0.0001692516 0.00018771541 0.0002984983 0.00015694239 0.00018156081 0.00013232398 0.00029542096 0.00012924668 0.00019387002 0.0001846381 0.0003077302 0.000120014774 0.00024618415 0.00020617922 0.0002984983 0.0001600197 0.00018771541 0.00019387002 0.0006493107 0.0003292713 0.00023387493 0.0003415805 0.0003446578 0.00021848844 0.00025233874 0.00031388478 0.0003692762 0.00017540621 0.00014771048 0.00015694239 0.0005416051 0.00024618415 0.00021848844 0.00017540621 0.00031696208 0.00021541113 0.00019387002 0.0001692516 0.00029542096 0.00023695224 0.00015078779 0.000163097 0.00027387985 0.000163097 0.0001600197 0.00013540128 0.00027695717 0.00011693747 0.00013847859 0.00013847859 0.00037543083 0.00022464304 0.000107705564 0.00017540621 0.00021541113 0.00018156081 0.00015694239 0.0001723289 0.00046159528 0.00020002462 0.000163097 0.00024002955 0.00027695717 0.00024002955 0.00026464797 0.00024926144 0.0004708272 0.00021541113 0.00020925653 0.00021848844 0.00024926144 0.00019387002 0.00025541606 0.0003077302 0.00038466274 0.0001846381 0.00018771541 0.0001723289 0.0003385032 0.00021233382 0.00024310684 0.0022772034 0.8924051 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.002336333 1.5451938e-05 7.5714495e-05 8.035008e-05 1.0816357e-05 2.3177907e-05 3.0903877e-05 0.00010198279 0.00015297419 3.2449072e-05 5.8717367e-05 9.2711625e-06 2.008752e-05 7.725969e-06 1.8542325e-05 0.00019005884 0.0077197882 0.00025804737 0.00051609473 9.734721e-05 0.00023332427 0.00013134147 0.0016147275 0.00086376333 0.0004743745 7.41693e-05 4.3265427e-05 3.2449072e-05 6.644333e-05 1.6997132e-05 4.4810622e-05 0.00047128412 0.007580721 0.00041411194 0.0005454534 0.00013443186 0.0005655409 0.00013752225 0.001052277 0.00071851513 0.0002565022 9.425682e-05 5.0991395e-05 0.00010816357 0.00013134147 2.008752e-05 0.00019623962 0.0006520718 0.008991483 0.00079732004 0.00034457823 0.0002534118 0.0008483114 0.00029358684 0.00058871886 0.00049909763 0.0006721593 0.0006767949 0.00023950504 0.00026113776 0.00035693977 0.00012361551 0.00030285798 0.00057326694 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0059938068 0.0007324219 0.00034612342 0.00029049645 0.0008019556 0.0003971148 0.00045583217 0.0003754821 0.000908574 0.000350759 0.0003198551 0.00028122528 0.00041565715 0.0002518666 0.0002982224 0.00043883504 0.00068452087 4.9446204e-05 0.00028586085 3.0903877e-05 0.00051918515 7.725969e-05 8.1895276e-05 2.9358684e-05 0.00013443186 0.00066443335 3.8629845e-05 3.3994264e-05 0.00016997132 1.6997132e-05 7.8804886e-05 0.00026886372 0.001824874 0.00015297419 0.00044965142 0.00012052512 0.0007756873 0.00016070016 0.00046201295 0.00026113776 0.00031058397 0.00030594837 0.00012052512 0.00012207031 0.00038629846 0.00014370303 0.00020860117 0.0005238207 0.0011264463 0.00018078768 0.0001776973 0.0002240531 0.00015760977 0.00020087519 0.00022096271 0.00015451938 0.00063352945 0.00012361551 0.0003260359 0.00032912628 0.0008730345 0.00041720233 0.00046201295 0.0007216055 0.0027612613 0.0020025712 0.0020288394 0.0021138252 0.002144729 0.0020319298 0.0020551078 0.0020860117 0.0022358955 0.002129277 0.0022328051 0.0021169155 0.0023085196 0.0021570907 0.002104554 0.0023007935 92.0 8.195652 754.0 0.027851459 0.010610079 0.0026525198 0.0053050397 0.00795756 0.0026525198 0.0026525198 0.0026525198 0.00397878 0.0053050397 0.0053050397 0.0053050397 0.009283819 0.0026525198 0.0198939 0.0013262599 0.00795756 0.0013262599 0.0066313 0.00795756 0.009283819 0.00397878 0.0026525198 0.00397878 0.0026525198 0.0066313 0.0026525198 0.0013262599 0.01193634 0.00397878 0.0026525198 0.0013262599 0.00795756 0.0066313 0.0013262599 0.009283819 0.010610079 0.010610079 0.0053050397 0.0066313 0.01591512 0.009283819 0.00397878 0.0026525198 0.0132626 0.01193634 0.01193634 0.0066313 0.0198939 0.00397878 0.0066313 0.0066313 0.01724138 0.0053050397 0.00397878 0.00397878 0.0026525198 0.00397878 0.0066313 0.00397878 0.0026525198 0.0026525198 0.0026525198 0.050397877 0.00795756 0.04111406 0.00397878 0.018567638 0.03846154 0.043766577 0.00795756 0.00795756 0.00795756 0.02387268 0.00397878 0.00397878 0.030503979 0.018567638 0.037135277 0.0331565 0.025198938 0.0 0.03448276 0.01724138 0.049071617 0.02254642 0.0026525198 0.00397878 0.01591512 0.0066313 0.009283819 0.0053050397 0.0013262599 0.00397878 0.0026525198 0.0013262599 5.9369817 0.0 0.0 0.0 1.0 324960.0 335872.0 0.0 0.0 20.0 0.0 1.0 0.0 0.0 0.0 900040800.0 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 5.0 0.0 4.0 0.0 4.0 0.0 3584.0 1024.0 4096.0 5.0 0.0 0.0 2.0 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 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 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 -3584.0 -2048.0 315392.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 3.2789192 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0295355 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.7592273 -5.0596185 0.7984883 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -388.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3584.0 -1968.0 315392.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 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 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 1.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 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 -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 -1.0 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 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 -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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 -1.0 1.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 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 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 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 -1.0 -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 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 -1.0 -1.0 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 -2.0 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 1.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 -1.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 1.0 0.0 1.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 -1.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 100.0 16384.0 9208.0 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 0.0 760.0 17244.0 0.0 0.0 0.0 0.0