Input: 0.056673855 0.008303356 0.0061744503 0.005658791 0.0057561244 0.0049588196 0.0041915434 0.0054196 0.005046834 0.0056287628 0.003751473 0.0044700825 0.0049650325 0.003187147 0.004323047 0.0046481816 0.0050416566 0.0037618275 0.004921543 0.004152196 0.004365501 0.0031788633 0.0041066357 0.0038374162 0.0050706496 0.0033476434 0.0031654024 0.0029355302 0.0041553024 0.0034335866 0.003787714 0.0037959977 0.006180663 0.003816707 0.003490537 0.0030245797 0.004895657 0.0041708346 0.0038446644 0.0037204092 0.0047258413 0.003895402 0.0033269343 0.003097062 0.004371714 0.0037307637 0.0037297283 0.0035816575 0.0055179684 0.003956494 0.003097062 0.0028961827 0.0036810616 0.0030753172 0.0026953034 0.0028630479 0.004174976 0.0033124378 0.003511246 0.0033362533 0.0040051606 0.003225459 0.0035091753 0.003452225 0.006598989 0.0039596003 0.0036220404 0.0032285654 0.004165657 0.0032223526 0.0035454163 0.00307014 0.00500438 0.0037773594 0.0037079835 0.0035847637 0.004131487 0.0031291612 0.0035692318 0.0034667214 0.005169018 0.003632395 0.0036510334 0.0033279697 0.00392543 0.003382849 0.0033631753 0.0035433455 0.0046502524 0.0036551752 0.0038094588 0.0035039978 0.004108707 0.00338492 0.0036800262 0.003787714 0.005915585 0.0036334305 0.0033424662 0.0029489913 0.004008267 0.0030597853 0.0032627357 0.0030390762 0.0049691745 0.0031695443 0.0031943952 0.0030483953 0.0035754447 0.0028392323 0.003083601 0.003189218 0.0045083943 0.003281374 0.0032202818 0.0031415867 0.0038912601 0.003329005 0.003290693 0.0036261822 0.004615047 0.003296906 0.003486395 0.003160225 0.0040362244 0.003189218 0.0034698278 0.0033393598 0.008644023 0.004599515 0.0040165507 0.0035216007 0.004359288 0.0034408348 0.0030173315 0.0033818136 0.0045415293 0.003832239 0.002968665 0.0031819697 0.003728693 0.0028019557 0.0028526934 0.002987303 0.005227004 0.0032109625 0.0034957142 0.003016296 0.0036582814 0.0031819697 0.0033072603 0.0032720547 0.0045404937 0.0028392323 0.0030401116 0.0027025517 0.0035205653 0.0032347783 0.0029841969 0.0031529767 0.00500438 0.003409771 0.0032772322 0.0027988495 0.0037752886 0.0030214733 0.003056679 0.0031819697 0.0041356287 0.0029945513 0.0031198421 0.003014225 0.0036468913 0.0028392323 0.0029168918 0.0030307926 0.004668891 0.0031115585 0.0038425934 0.0028485516 0.003555771 0.0031571188 0.0029862677 0.0031198421 0.004253671 0.0031540124 0.0033383241 0.0031643668 0.0036520688 0.0031902534 0.0033279697 0.0033414306 0.006720138 0.0040652175 0.003724551 0.0033341823 0.004121132 0.0032596292 0.0033000123 0.0032327073 0.004334437 0.0033403952 0.003108452 0.0030732465 0.0036355015 0.0029862677 0.003085672 0.002805062 0.0042516002 0.0032782676 0.0030929202 0.0029831612 0.0037141964 0.003006977 0.0029334594 0.0029469202 0.0039772033 0.0031177711 0.0027387927 0.0026373176 0.0035350616 0.002941743 0.0035816575 0.0028816862 0.004948465 0.0032337427 0.003389062 0.0029769486 0.0037980687 0.0030722108 0.0032151046 0.0029086082 0.0044566216 0.005455841 0.003475005 0.0031343387 0.0037752886 0.00307014 0.0032378845 0.0031809343 0.0046067634 0.0033300405 0.003425303 0.0030421827 0.0037473312 0.0030867073 0.0033134732 0.0032399555 0.0043489337 0.003033899 0.0031881826 0.002860977 0.004010338 0.003097062 0.0042360686 0.004514607 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 0.0045800987 0.00029234673 0.0002736863 0.00026642947 0.00030582372 0.00023843882 0.0003296676 0.00030426867 0.00032603918 0.00035195643 0.00032500247 0.00035351148 0.00051938195 0.00015757697 0.00018815933 0.0007417521 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 0.099206105 0.062015865 0.06248704 0.05531107 0.060656764 0.059563056 0.054954965 0.05445632 0.060474824 0.05315942 0.05212895 0.052923054 0.05644158 0.05053659 0.056630775 0.05385193 4032.0 5.7018847 22990.0 0.017137887 0.010526316 0.009351892 0.008699435 0.013484123 0.012483689 0.011831231 0.011396259 0.012570683 0.009786864 0.008438451 0.008699435 0.013875598 0.01061331 0.011787734 0.009917355 0.016746411 0.011874728 0.008742931 0.0074815135 0.009917355 0.008525446 0.007916486 0.008394955 0.010265333 0.008438451 0.009525881 0.008873424 0.011570248 0.009134406 0.009743366 0.009134406 0.018051326 0.010874293 0.010395824 0.009047412 0.010830796 0.008829926 0.010656808 0.008351457 0.014223576 0.011613745 0.009743366 0.0089604175 0.0114397565 0.009351892 0.011657243 0.009569378 0.014745542 0.009612875 0.009917355 0.009047412 0.012048717 0.009482384 0.009569378 0.009873859 0.013658112 0.009221401 0.010439321 0.009525881 0.011091779 0.009786864 0.010395824 0.010656808 0.017920835 0.011004785 0.00969987 0.008220966 0.013092649 0.008264462 0.009438886 0.00830796 0.015397999 0.009264898 0.008873424 0.008699435 0.011309265 0.00800348 0.009960853 0.0078729885 0.0132231405 0.00800348 0.008655937 0.008829926 0.0114397565 0.009482384 0.00830796 0.007916486 0.01091779 0.009003915 0.011961723 0.008481949 0.011265768 0.00891692 0.009960853 0.008742931 6.554845 0.0 0.0 0.0 14.0 965754.0 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: 0.2618172 0.022102602 0.02585528 0.0034783476 0.01716335 0.0059932587 0.0072178994 0.002476846 0.007005261 0.0017234228 0.011066396 0.003543977 0.00234165 0.0010750063 0.00070354505 0.0005407846 0.0005276588 0.0023770896 0.00093062205 0.003811744 0.0012679561 0.0005788495 0.0023547758 0.0018993091 0.002252394 0.0007744246 0.0013782132 0.0016919208 0.001233829 0.00074160995 0.0020725701 0.0013703377 0.0098509425 0.00046859248 0.0011065083 0.0009542486 0.0009555612 0.00058803766 0.0007652365 0.00033339634 0.0034888482 0.00042265205 0.0007140457 0.00093062205 0.007994949 0.0017234228 0.025615077 0.00031764532 0.014270414 0.0092760315 0.005049511 0.0074646655 0.0021066973 0.007525044 0.0034625966 0.004045384 0.0020515688 0.002489972 0.0007153583 0.0010487547 0.0004672799 0.007221837 0.004918252 0.00029139366 0.0009818128 0.0018940588 0.00059460057 0.0035925424 0.0067913095 0.0010684434 0.004111013 0.0015055338 0.00047515542 0.0034573462 0.0003045195 0.0027748025 0.0021907026 0.0006077264 0.0024125294 0.00091355847 0.0045074136 0.002022692 0.00049615675 0.010979765 0.006108766 0.0026645456 0.0064172233 0.0016105406 0.0016367922 0.00057753694 0.0020751953 0.0009608115 0.00030189432 0.000296644 0.00027564264 0.0037395519 0.0011878886 0.027032668 0.014485677 0.0073032174 0.0056309854 0.036695912 0.0060339486 0.0076156124 0.0044286586 0.020782143 0.00022313929 0.0062767765 0.02152769 0.012285787 0.02271164 0.021099787 0.004949754 0.0004121514 0.022722142 0.01624454 0.023807649 0.011548114 0.0016827327 0.007874192 0.0021788895 0.0126572475 0.0019478747 0.008871756 0.00080723915 0.0018888083 0.0021145728 0.00025070354 0.0004265898 0.00051847065 0.00025989165 0.00041083878 0.00041740172 0.00026645456 0.0003543977 0.00046990506 0.0009437479 0.00029795658 0.00024151546 0.00027564264 0.00029139366 0.00057753694 0.00029401883 0.0013847761 0.0003045195 0.0009699996 0.00021657636 0.00064579136 0.00039771295 0.00022707703 0.00035045992 0.00040296328 0.00024939096 0.00042265205 0.00089124456 0.00028745588 0.00033208376 0.00045546665 0.00030189432 0.00026907973 0.0003045195 0.00054603495 0.0006234774 0.00030976982 0.00024020288 0.00060247607 0.00022838962 0.00032027048 0.00030058174 0.0002861433 0.0002388903 0.000296644 0.0009608115 0.00032683343 0.00034914733 0.00025070354 0.00026907973 0.0002795804 0.00020213793 0.00030058174 0.00074160995 0.0002861433 0.00032289568 0.00081642723 0.00021657636 0.00026645456 0.000296644 0.00025989165 0.0004436534 0.0002218267 0.00032289568 0.0003858997 0.0010868196 0.00028220555 0.00025070354 0.00028089297 0.00025070354 0.0002388903 0.00021526378 0.0002467658 0.00030189432 0.00024282804 0.0002546413 0.00023757771 0.00024414062 0.00028483072 0.00019294985 0.00027564264 0.0002782678 0.00042921497 0.00027564264 0.00021526378 0.00023757771 0.00022313929 0.00019426244 0.0002467658 0.00025595387 0.00026120423 0.00029926916 0.0002861433 0.00023363995 0.0003294586 0.00027695522 0.0002205141 0.00019163727 0.00030845724 0.00025726645 0.00019820018 0.000296644 0.0006366032 0.0002795804 0.0002782678 0.00039902554 0.0003032069 0.00019951277 0.00021132603 0.00019032467 0.00022576445 0.00019951277 0.0005066574 0.00020870086 0.00025989165 0.00025857904 0.00034258442 0.0003701487 0.00082167756 0.0002205141 0.0002717049 0.00022445187 0.0003215831 0.00025726645 0.00083480345 0.00079936365 0.00023101478 0.0023088353 0.010835381 0.010763217 0.0 1.3143506e-06 1.3143506e-06 0.0 0.0 0.0 0.0 1.3143506e-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 0.0012611194 8.543279e-06 1.4457857e-05 0.0 9.200454e-06 4.600227e-06 1.8400908e-05 1.0514805e-05 4.600227e-06 1.971526e-06 1.971526e-06 2.6287012e-06 3.2858766e-06 0.0 1.3143506e-06 3.2858766e-06 0.0011710863 1.3143506e-06 1.18291555e-05 2.102961e-05 2.0372434e-05 1.0514805e-05 6.900341e-05 3.3515942e-05 1.3143506e-06 1.3143506e-06 6.571753e-07 1.3143506e-06 0.0 6.571753e-07 6.571753e-07 1.3143506e-06 0.0011290272 5.84886e-05 4.0744868e-05 1.5115032e-05 8.543279e-06 1.3143506e-06 3.6801815e-05 4.6659447e-05 2.6287012e-06 0.0 3.2858766e-06 1.3143506e-06 0.0 6.571753e-07 0.0 1.3143506e-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 0.0043327566 1.3143506e-05 1.0514805e-05 1.0514805e-05 0.00013472093 0.00015640772 0.00040744868 0.0010297938 5.5859902e-05 5.3888376e-05 2.102961e-05 0.00038444754 3.4173117e-05 2.8915714e-05 4.0744868e-05 1.5115032e-05 0.016700797 0.0006624327 0.0003134726 0.0012460044 0.0010297938 0.0010613381 0.0055991337 0.0031320974 0.00010711957 7.8861034e-05 0.0001702084 0.0002931002 0.00014720726 0.00019058083 6.8346235e-05 0.00015509337 0.08450157 0.0040705437 0.0052245436 0.009408122 0.0051174243 0.0052022 0.031663362 0.015843183 0.00076035183 0.0006059156 0.0013899257 0.0009943063 0.0007774384 0.0005816001 0.0005776571 0.0015187322 0.10189306 0.005698367 0.018318761 0.027979238 0.008681943 0.011756209 0.060868233 0.028286139 0.0016698824 0.0013958403 0.0015542196 0.00104228 0.0011093119 0.00080766843 0.0006624327 0.0014931023 0.12473976 0.011364533 0.027112424 0.028150762 0.014909336 0.022012744 0.103894815 0.06304677 0.0024072332 0.0021640782 0.0007774384 0.000697263 0.000648632 0.0006124874 0.0009384463 0.012404841 0.02348876 0.0018210327 0.0035934346 0.0038135883 0.002279084 0.0027916806 0.010966284 0.006935171 0.001004821 0.0009568472 0.0008852151 0.00082541216 0.00071894977 0.0006893769 0.0009391035 0.001548305 0.001068567 0.00017940886 8.2146915e-05 0.00022869701 0.0001702084 0.00013800681 0.0001491788 0.00013340659 0.00012946353 9.7261945e-05 4.2716394e-05 3.877334e-05 5.783143e-05 5.783143e-05 6.440318e-05 5.3888376e-05 0.0009614475 0.00013406377 0.00022343961 0.0002792995 0.00019583823 0.00025761273 0.0005881719 0.00050931086 0.0002102961 0.00013866399 8.543279e-05 8.871867e-05 7.097493e-05 9.5290416e-05 9.8576296e-05 0.00010054782 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0013360374 0.0012768916 0.0013439235 0.0013485238 0.0011553142 0.0013340659 0.0013320943 0.0011027402 0.0010810534 0.001236804 0.0012591479 0.0012676911 0.0013222367 0.0012039451 0.0012952925 0.0012926639 9801.0 27.73462 271827.0 0.021197306 1.1036431e-05 1.1036431e-05 8.461264e-05 4.4145723e-05 3.3109292e-05 1.4715241e-05 2.2072862e-05 3.6788104e-05 2.5751673e-05 1.8394052e-05 2.9430483e-05 0.021131087 7.357621e-05 0.055483818 1.1036431e-05 0.035110567 0.013975801 0.008177996 0.013276827 0.0025126275 0.014185493 0.0030129456 0.008615774 0.0020785278 0.0038443569 1.8394052e-05 1.8394052e-05 4.4145723e-05 0.019431477 3.3109292e-05 4.0466915e-05 3.3109292e-05 0.00093073904 0.00044881488 0.0076556043 0.017352948 0.00027958959 0.008575307 0.003377148 0.00029798364 0.0013758751 1.8394052e-05 0.006500458 0.0020858855 0.00041202677 0.0007026528 0.000106685504 0.009962219 0.0048045265 0.0005665368 0.026152663 0.009241172 0.0035022276 0.008799715 0.0036383434 1.1036431e-05 2.2072862e-05 4.4145723e-05 3.6788104e-05 3.3109292e-05 3.6788104e-05 4.0466915e-05 0.008045559 4.0466915e-05 0.053637058 0.019931795 0.013074492 0.011562501 0.07523167 0.0149470065 0.020141488 0.0103448145 0.047824536 4.0466915e-05 0.008615774 0.035511557 0.026167378 0.050944168 0.03132139 0.0035243004 6.253978e-05 0.045841657 0.039418455 0.055767085 0.030688636 0.0034580817 0.020983934 0.00054814277 0.030843146 0.0017547925 1.4715241e-05 7.3576207e-06 1.4715241e-05 1.4715241e-05 2.5751673e-05 5.195648 0.0 0.0 0.0 1.0 761856.0 778240.0 1.0 0.0 1.0 1.0 1.0 0.0 0.0 0.0 1352435700.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 8.0 0.0 4.0 0.0 4.0 0.0 749568.0 4096.0 4096.0 3.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -749568.0 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 -1.9473388 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.6590247 0.0 3.1035683 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 -749348.0 0.0 760.0 0.0 0.0 0.0 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 87.0 757444.0 760.0 761856.0 0.0 0.0 0.0 0.0 12.0 770048.0 28.0 757332.0 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: 0.19228253 0.030168286 0.007069606 0.010514339 0.011310738 0.0020478787 0.003062337 0.0057138344 0.015513944 0.0034036501 0.0023354664 0.0014885043 0.008084064 0.0045065973 0.0019246266 0.0041494826 0.00794501 0.0040673143 0.0019183061 0.0027494668 0.00453504 0.0077459114 0.00087856525 0.0008343209 0.002866398 0.0017950541 0.00060361857 0.00078691635 0.0032298332 0.00064786285 0.0006257407 0.0005783361 0.0061720787 0.00078691635 0.00090700795 0.0008280003 0.0020952832 0.0012704432 0.0007584736 0.0006257407 0.0015390693 0.0005656949 0.0004898475 0.0010492217 0.0013968555 0.00073951174 0.0015959548 0.00044244292 0.0030244135 0.0005656949 0.00090700795 0.006823102 0.0014252983 0.0011345501 0.0012672829 0.0004898475 0.0016338784 0.0026641383 0.00054673303 0.0035427036 0.0014758632 0.0010397409 0.00051512994 0.0012135577 0.008159911 0.0020320772 0.000783756 0.0023449475 0.0018961839 0.012767638 0.004487635 0.0016686418 0.0028189935 0.0018203366 0.000865924 0.0007679545 0.0016623213 0.0052492693 0.0019846726 0.0012799242 0.010656553 0.0034289325 0.002588291 0.004753101 0.0017760923 0.006298491 0.006753575 0.006857865 0.001886703 0.0027589477 0.00040135894 0.0014063364 0.0015106265 0.0047120173 0.0041083987 0.0038081694 0.0021426878 0.0040072687 0.0014347791 0.0018329778 0.003062337 0.008611836 0.0048921546 0.0013083669 0.0049111163 0.00329936 0.0070980485 0.00046772536 0.0032140317 0.0015611914 0.003463696 0.0036122303 0.003896658 0.0006225804 0.0050375285 0.0041083987 0.015024098 0.01485028 0.0052018645 0.0023986727 0.0021363671 0.0009101683 0.00045824444 0.00052461086 0.0020320772 0.0034478945 0.0013842143 0.0008058782 0.006421743 0.0013146875 0.00028126728 0.007862843 0.0017855732 0.0113865845 0.0012198783 0.00037291617 0.0012072371 0.012220905 0.00049616816 0.0426831 0.0016243976 0.00856127 0.00056253455 0.00026546576 0.0011566723 0.00041716045 0.00033499248 0.00027178635 0.00095441256 0.0007805957 0.00031287034 0.00021490085 0.0007805957 0.0013684127 0.0005277712 0.000195939 0.00097021414 0.00040135894 0.00050248875 0.0002907482 0.0013431303 0.0011945958 0.00025914513 0.00042032078 0.0009259698 0.0017381686 0.0014569013 0.0014474205 0.00079323695 0.00019909932 0.00027494668 0.0006731453 0.00089436676 0.00020541993 0.00023070238 0.00023070238 0.0011155882 0.00025598484 0.00046772536 0.00027494668 0.0008280003 0.0010776646 0.00068578654 0.00078691635 0.0026198942 0.00069526746 0.00026230543 0.0004361223 0.0009512523 0.00093861105 0.00085328275 0.00082484 0.010874615 0.001494825 0.00463933 0.0029011613 0.001175634 0.00030971004 0.0015864739 0.004051513 0.0022659397 0.002657818 0.00045508414 0.00084696215 0.031549342 0.00040767956 0.0020036343 0.0008564431 0.001659161 0.00069210713 0.00054041244 0.00076163386 0.0015548709 0.000391878 0.0011977562 0.001175634 0.0022248558 0.0007363514 0.00042664137 0.0012198783 0.0013778936 0.0006826262 0.0003855574 0.00040135894 0.0025345657 0.0004361223 0.00044560322 0.00032235126 0.0023259856 0.00036343525 0.0002875879 0.00031919096 0.014382555 0.002733665 0.00039819864 0.01412657 0.0070569646 0.00060993916 0.00036343525 0.0016686418 0.003112902 0.0026325353 0.00046140476 0.0013684127 0.0019530695 0.00030971004 0.002114245 0.0010871454 0.004045192 0.0010302599 0.0006225804 0.0012293593 0.0054546893 0.002433436 0.0027147033 0.077471755 0.022727273 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.01721667 0.0007070566 0.0004248681 0.00016328886 0.00032182175 0.000114143666 0.00036621094 0.00010304637 0.00068169134 7.133979e-05 6.024249e-05 4.597453e-05 0.00015853287 5.231585e-05 0.003944298 0.0015425249 0.02309507 0.0015076476 0.00044706272 0.00058657164 0.00063254614 0.00029962714 0.00076412846 0.00051998784 0.0008671748 0.00016963018 0.00014267958 0.00019816609 0.00017914215 0.00013158229 0.0009274173 0.0019990995 0.012501902 0.00017280084 0.00022194603 0.0002869445 0.0007007153 0.00070864195 0.0020339768 0.00096705055 0.0001490209 5.3901178e-05 5.8657162e-05 6.024249e-05 0.00012207031 0.00019658076 8.2437095e-05 0.0011636313 0.014989283 0.0003535283 0.0006674234 0.00025048194 0.0013808213 0.0008782721 0.0030359046 0.0015916701 0.0005453531 0.00010304637 0.00017755682 7.451045e-05 0.00037889357 0.000115728995 0.0026696937 0.0020086116 0.029014686 0.00075778714 0.0016328886 0.0016661806 0.004020394 0.002753716 0.010934012 0.005507432 0.0009860744 0.00054376776 0.0005136465 0.0003360897 0.0009337586 0.00033450435 0.0022638494 0.0027362774 0.014344054 0.0007276659 0.0018786145 0.0012746044 0.0028615184 0.0024049436 0.0054535307 0.003379921 0.0004518187 0.00086241885 0.00040584416 0.000337675 0.00090839335 0.000351943 0.001143022 0.002175071 0.0116600925 0.0009940012 0.0009765625 0.000791079 0.0023716518 0.002777496 0.007309951 0.004064783 0.000689618 0.0005516944 0.00079583505 0.00035986962 0.00082437095 0.00065949676 0.0006959593 0.003438578 0.013507001 0.002083122 0.0028028612 0.0015853287 0.0034782114 0.003332361 0.006317535 0.0048828125 0.0035416244 0.00065949676 0.00294237 0.00087034545 0.004215389 0.0013824067 0.0019467837 0.0048939097 0.11927379 0.028229948 0.0091632 0.016861556 0.027545087 0.04137391 0.014703924 0.033345804 0.075391896 0.0045879413 0.0048590326 0.008411754 0.049723838 0.008443461 0.028277509 0.0752619 0.023088727 0.005656453 0.002411285 0.004321606 0.006591797 0.008517971 0.0032990691 0.008113712 0.014480392 0.001268263 0.0019642224 0.001948369 0.010219029 0.003249924 0.0061288807 0.012376661 0.0010383903 0.0007007153 0.0006499848 0.00054852373 0.00075461646 0.0006832767 0.0006373022 0.0004359654 0.00075778714 0.0006198635 0.00039633218 0.00045498935 0.0006024249 0.0005532797 0.00043438008 0.00047242796 1642.0 13.291718 21825.0 0.033172965 0.0010080184 0.0006872852 0.0013745704 0.0008705613 0.0010538374 0.0005040092 0.0023367698 0.002611684 0.0016036655 0.0006872852 0.0010996563 0.0024284078 0.002932417 0.014295532 0.0006872852 0.002932417 0.0021076747 0.0050400915 0.0039862543 0.0018785796 0.0014203895 0.0012371134 0.00073310424 0.0012829325 0.0034364262 0.00064146623 0.0014203895 0.00032073312 0.0010538374 0.00045819016 0.008888889 0.002978236 0.011454754 0.0034364262 0.015303551 0.008476518 0.021351662 0.010492555 0.008476518 0.0053608245 0.013608247 0.0016953036 0.0034364262 0.006643757 0.008613975 0.0075601377 0.006597938 0.012462772 0.0016953036 0.008247423 0.01910653 0.00788087 0.003069874 0.013241695 0.034501716 0.008568156 0.0008705613 0.00041237113 0.0009621993 0.0013287514 0.0006872852 0.0010996563 0.020847652 0.0015120275 0.04646048 0.014982818 0.018419243 0.023413517 0.094112255 0.011454754 0.011821305 0.010904926 0.035601374 0.0071935854 0.003115693 0.026849942 0.015074456 0.035830468 0.03922108 0.01906071 0.0005040092 0.04549828 0.030882016 0.06510882 0.017136311 0.016494846 0.010767468 0.011500573 0.005956472 0.003069874 0.00064146623 0.00041237113 0.0011912944 0.00082474225 0.00032073312 5.556039 1.0 0.0 0.0 3.0 316425.0 77824.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 1189164500.0 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 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 6.0 0.0 4.0 0.0 4.0 0.0 16384.0 1024.0 4096.0 4.0 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 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 -14848.0 0.0 0.0 0.0 0.0 0.0 36864.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5632.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.0067024 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3.9123151 0.0 0.0 0.0 0.0 0.0 6.05954 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 3.2972798 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -16384.0 0.0 0.0 0.0 0.0 0.0 45056.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 8192.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 40.0 73728.0 5044.0 65536.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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: 0.6465055 0.0032438925 0.0019308703 0.00159856 0.002533631 0.0013688472 0.0013711103 0.0013643207 0.0032944367 0.0011542222 0.0011534678 0.0011338536 0.0024985515 0.0011017919 0.0009980627 0.002667913 0.0024370684 0.0011911875 0.00089471077 0.00093393924 0.001642692 0.0011919419 0.0010252208 0.0009275269 0.0013428206 0.00098901 0.0009294129 0.0009833521 0.0012047666 0.0008837721 0.00090338633 0.0009580799 0.0016042179 0.00087735977 0.00095015875 0.0009580799 0.001554428 0.0008958424 0.0008803773 0.00093507086 0.0010833092 0.0008615175 0.0008128591 0.0011923191 0.0010074927 0.0012836007 0.0009637378 0.0008381313 0.0014574884 0.0011821347 0.0011595029 0.0020753369 0.0011953367 0.0011255553 0.0010610545 0.0010976427 0.001336031 0.0013752595 0.0011847751 0.0017049295 0.0012979342 0.0012715304 0.0010855724 0.0015842265 0.0017679214 0.0012055209 0.0013579085 0.0012654952 0.0012364511 0.0056492765 0.0025539994 0.0016351481 0.001362812 0.00091055303 0.0010142822 0.00089659676 0.0010550194 0.004076743 0.0009954224 0.0008916932 0.0027297733 0.0016000688 0.0012134421 0.0012836007 0.0010916075 0.0029802318 0.0015502789 0.0014186371 0.0010610545 0.0015155767 0.0008460524 0.0010305017 0.000966001 0.0017456667 0.0011975998 0.0012115561 0.0009950452 0.0012575741 0.0009177198 0.0009897643 0.001382049 0.0015317962 0.001552542 0.0009309217 0.0021017406 0.0011610118 0.001719263 0.00093356206 0.0013009517 0.0009939135 0.0011704416 0.0012251352 0.001224758 0.0008724562 0.0014518305 0.001393365 0.002828976 0.003212208 0.0010289928 0.0009761853 0.001096511 0.0009580799 0.00083247334 0.00089093886 0.0010154138 0.0013843123 0.0009426148 0.0010388 0.0013944965 0.0010470983 0.0008369997 0.0040016808 0.001433725 0.0027022378 0.0008603859 0.00083888567 0.0012968025 0.004567099 0.0011696873 0.010636573 0.0010150366 0.0037598975 0.0008351137 0.0008234206 0.0010648265 0.0007928677 0.00082870136 0.000916211 0.00096034305 0.0011625205 0.0008098415 0.0008136135 0.00097090454 0.0008298329 0.0008113503 0.0008060695 0.0009769397 0.00087924575 0.0008211574 0.0008369997 0.0010437035 0.0010648265 0.0008709474 0.0009539307 0.0009799573 0.00084567524 0.0008226662 0.0008026748 0.0010286156 0.00080380635 0.00079701684 0.0008075783 0.0009524219 0.00081738544 0.0008015432 0.0008249294 0.001075388 0.0007989028 0.00082228903 0.0008234206 0.0010131506 0.0008886756 0.0012126877 0.0009875012 0.0013465926 0.00095883425 0.000868307 0.0008117275 0.0010659582 0.0009935363 0.0009196058 0.00088943006 0.002449516 0.0014227863 0.0013714875 0.0017143594 0.0017411404 0.0009875012 0.0014654095 0.0019425635 0.0014514533 0.001201749 0.0009109303 0.0010271069 0.0042325254 0.00086755265 0.0010022119 0.0009667554 0.0013299959 0.00091507944 0.0010029663 0.0008709474 0.001075388 0.0008105959 0.00094827276 0.0008592543 0.0013767683 0.000944878 0.00084944715 0.0009565711 0.0011368712 0.0009637378 0.0008128591 0.00086264906 0.0014152423 0.00088905287 0.0009086671 0.00086642103 0.0012941622 0.0011315903 0.000870193 0.00082756975 0.0049133655 0.001435611 0.0008588771 0.0018576942 0.0023921821 0.0008464296 0.00088829844 0.0008954652 0.0020711876 0.00097165897 0.0009256409 0.00091206183 0.001552542 0.00082907855 0.0013545137 0.001132722 0.0018765541 0.0011066954 0.0010018346 0.0009792029 0.002606807 0.0013458382 0.0019882042 0.012510486 0.6143655 3.7734253e-07 1.1320276e-06 1.8867127e-07 1.8867128e-06 3.7734253e-07 9.433564e-07 0.0 0.0 0.0 0.0 0.0 1.8867127e-07 1.8867127e-07 1.8867127e-07 3.0187402e-06 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00031149626 1.0565591e-05 1.4716359e-05 3.0187402e-06 7.924194e-06 4.716782e-06 1.4339016e-05 6.414823e-06 2.075384e-06 1.6980414e-06 1.1320276e-06 1.5093701e-06 3.7734253e-07 0.0 1.8867127e-07 6.226152e-06 0.0031753376 7.4713826e-05 0.00011471213 2.8489361e-05 0.00028583698 5.301663e-05 0.00024734804 9.339228e-05 1.77351e-05 6.377089e-05 1.3206989e-05 1.3961674e-05 1.8112441e-05 1.5471045e-05 2.075384e-05 0.00040092645 0.004058885 0.00017150218 0.00018018106 7.414781e-05 0.00041356744 6.509159e-05 0.00029451586 0.0001477296 3.2262786e-05 5.1318584e-05 3.0564745e-05 2.5847965e-05 3.9243623e-05 5.0941242e-05 9.075088e-05 0.00045582978 0.0025727216 0.000100373116 0.00021621728 4.3960405e-05 0.00032998604 0.00011414612 0.00058337155 0.00031281696 2.6036636e-05 4.150768e-05 3.9054954e-05 3.7545582e-05 1.7546428e-05 3.3017473e-05 3.0187404e-05 0.00013829605 0.003731729 0.00016980415 0.00033866492 0.00018225645 0.0008499641 0.00026621515 0.0012669276 0.00063865224 7.9053265e-05 0.00010225983 9.2637594e-05 5.962012e-05 5.3771313e-05 6.56576e-05 6.5846274e-05 0.00015131437 0.0016625712 6.528026e-05 0.00021716063 0.000119994926 0.00045790517 0.0001845205 0.00066770765 0.0004656407 5.9997463e-05 4.8299844e-05 4.188502e-05 4.5469777e-05 3.245146e-05 3.3017473e-05 5.8865437e-05 8.961885e-05 0.0021702857 0.00037149372 0.0004150768 0.0037270123 0.0006220492 0.00040337918 0.000696197 0.0004905453 0.00042564239 0.00025376285 0.00027413937 0.00026640383 0.00047828167 0.00025847965 0.00030168536 0.00043752868 0.0038260648 0.0004197936 0.00032413725 0.0004873379 0.0019636906 0.0011927797 0.00045601846 0.00044583023 0.00404964 0.0003296087 0.00023357503 0.00035828675 0.0015727637 0.0004190389 0.0012476831 0.0035392845 0.015172 0.0024668768 0.0015516325 0.0021125523 0.0066889627 0.0049407347 0.0021102882 0.0030334566 0.012399287 0.00085336016 0.0008484547 0.0015114455 0.006710471 0.0015118229 0.004966394 0.009242817 0.010459558 0.0025793249 0.001450316 0.0022891485 0.0041432213 0.004197747 0.0019827464 0.003643431 0.008156259 0.00064902916 0.00075147767 0.0011656111 0.003875308 0.0014759754 0.0036030554 0.006764808 0.01244721 0.012009869 0.011868932 0.01207081 0.012112507 0.0120211905 0.011838933 0.011872517 0.011979682 0.011886101 0.011893082 0.011993078 0.011956476 0.011855914 0.011909119 0.011938363 3847.0 9.147907 35192.0 0.023641737 0.004716981 0.004035008 0.004603319 0.013156399 0.0050579677 0.004802228 0.006421914 0.006535576 0.0050863833 0.00414867 0.0063934987 0.0071038874 0.008183678 0.009689703 0.0041202544 0.015060241 0.0116219595 0.012843828 0.0118777 0.012559673 0.011337804 0.011991362 0.0111388955 0.014605592 0.014094112 0.014889748 0.012019778 0.015031826 0.009746533 0.009689703 0.017930211 0.027023187 0.009348716 0.0052000456 0.00829734 0.009263469 0.0068765627 0.007444874 0.0065924074 0.0069618095 0.005796772 0.0044612414 0.004745397 0.0079847695 0.004802228 0.005853603 0.004802228 0.013468971 0.0053137075 0.0056831096 0.008581496 0.008581496 0.0067913164 0.011820869 0.010229598 0.0079847695 0.005228461 0.0048306435 0.0055978633 0.006535576 0.005796772 0.005626279 0.013440555 0.0072743804 0.025176177 0.010911571 0.015941123 0.01889634 0.035320528 0.009519209 0.008240509 0.01111048 0.021112753 0.0059672655 0.005541032 0.017503979 0.01085474 0.019208912 0.02744942 0.012275517 0.0048874742 0.025176177 0.021908388 0.0360025 0.012673335 0.008411002 0.0058251875 0.009547625 0.00855308 0.0050579677 0.00466015 0.0064503294 0.0044044103 0.0040634237 0.004972721 6.340184 0.0 0.0 0.0 20.0 2651136.0 2662400.0 1.0 0.0 81.0 1.0 1.0 0.0 1.0 0.0 1541768000.0 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 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 14.0 15.0 6.0 0.0 6.0 0.0 392704.0 1024.0 4096.0 5.0 0.0 0.0 2.0 1.0 0.0 0.0 0.0 0.0 0.0 -18944.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2222592.0 0.0 0.0 0.0 0.0 0.0 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 -392704.0 0.0 3584.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.5791826 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.786642 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.8018346 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.4921823 0.0 3.8890173 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -18512.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2222564.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -16016.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -392648.0 0.0 3176.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 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 -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 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 40.0 2618008.0 3176.0 2637824.0 0.0 0.0 0.0 0.0 18512.0 2641920.0 28.0 458080.0 0.0 0.0 0.0 0.0 24.0 458272.0 64.0 458112.0 0.0 0.0 328.0 397312.0 0.0 0.0 0.0 0.0


Input: 0.029942343 0.019259017 0.01719419 0.016064454 0.015065818 0.014538073 0.0136391 0.013618365 0.012737452 0.012342145 0.011714068 0.011704035 0.0113381585 0.010995693 0.010858572 0.010547544 0.010155581 0.010086018 0.009882678 0.009829837 0.009499411 0.0094800135 0.009007117 0.009091396 0.00892752 0.008807122 0.0084218485 0.008424524 0.008232555 0.008126204 0.00795564 0.007989753 0.00785999 0.0078486195 0.0076212008 0.007416524 0.0073757223 0.0073034833 0.007173052 0.0070673693 0.0069737267 0.00703727 0.006674069 0.0067917914 0.0065336046 0.0066138697 0.006597817 0.0063516693 0.0063964846 0.006211205 0.006116893 0.0061269263 0.006019237 0.0060493364 0.006006528 0.0058627194 0.0057523544 0.0057115527 0.005627943 0.0055650687 0.0054339683 0.00547477 0.0053015305 0.005289491 0.005138993 0.005271431 0.005052039 0.0050854827 0.0051022046 0.005130966 0.0048560575 0.004854051 0.0046721157 0.004803216 0.0047383346 0.004698202 0.004704891 0.004664758 0.0044814856 0.0046018837 0.0044594123 0.0043610875 0.0044045644 0.004280822 0.004236007 0.00419855 0.00419855 0.004142364 0.0040908605 0.0040835026 0.00396578 0.004005244 0.003971131 0.00396578 0.0038928725 0.0038139448 0.003844713 0.0038313356 0.003675487 0.0037376927 0.0037276594 0.0036139502 0.0035905393 0.0035055918 0.0035470624 0.003499572 0.0034199753 0.003450075 0.0033564318 0.0034052602 0.00326212 0.0033664652 0.0032474047 0.003288875 0.003135702 0.0031390465 0.003054099 0.0030554365 0.0030467412 0.0030106218 0.0029370452 0.0028701574 0.002904939 0.0028567798 0.0028922304 0.0028648062 0.002739726 0.002729693 0.0027845409 0.0026674871 0.0027490903 0.002733706 0.0026648117 0.0025939106 0.002525016 0.002530367 0.00269558 0.0024902343 0.002481539 0.0024915722 0.0023691673 0.0024286977 0.0023745184 0.0024039492 0.0023544522 0.0022648224 0.002250776 0.0021945902 0.002211981 0.0022200076 0.0020889074 0.0021216823 0.0020307149 0.002090245 0.0020106486 0.0020273705 0.0020581388 0.0020039598 0.0019424229 0.001897608 0.0018568065 0.0019357342 0.001870853 0.0018621575 0.0018608198 0.0017671768 0.0017277129 0.0017317262 0.0017564747 0.0016601563 0.0017143354 0.0016079837 0.0015832352 0.0015711954 0.0016574807 0.0015671821 0.0015986194 0.0015270495 0.0015745398 0.0014949433 0.0014775525 0.0015069831 0.0014788902 0.001436082 0.0013738762 0.0014066513 0.0013658497 0.0013926049 0.0013364191 0.0013156838 0.0012608358 0.0012300675 0.00120465 0.0012394317 0.0011799015 0.0011671928 0.0011484643 0.0011518087 0.0010347549 0.0010922785 0.0010722121 0.00106753 0.0010521457 0.0010140197 0.0009919467 0.0009799069 0.00095716503 0.0010207085 0.0010193707 0.000902317 0.0009257277 0.0009150257 0.00086686644 0.000858171 0.00083208474 0.0008207138 0.00077389233 0.0010909407 0.0007685413 0.0007464683 0.00071971316 0.00071503106 0.0007437928 0.00069897796 0.0007016535 0.0006635274 0.0006113549 0.000660183 0.00060332834 0.00059730845 0.0005738977 0.000561189 0.0005183808 0.0005605201 0.00048159246 0.0005705533 0.0004809236 0.0004963078 0.00042741332 0.0004889501 0.00037925408 0.0004187179 0.00035517444 0.00036186323 0.00036186323 0.0003317637 0.0003230683 0.00029229987 0.00026019372 0.0002481539 0.00032039278 0.00025283603 0.00024681614 0.00022072988 0.00017992829 0.00022206764 0.0047978065 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0012804414 5.6893637e-06 4.685358e-06 4.016021e-06 6.024032e-06 5.6893637e-06 6.3587004e-06 4.35069e-06 7.697374e-06 4.35069e-06 6.024032e-06 8.366711e-06 5.354695e-06 5.354695e-06 8.70138e-06 7.697374e-06 0.00061478594 1.070939e-05 6.693369e-06 1.3386738e-06 7.697374e-06 4.016021e-06 1.3052069e-05 6.024032e-06 2.342679e-06 2.6773475e-06 2.342679e-06 3.012016e-06 2.0080106e-06 2.6773475e-06 2.6773475e-06 3.3466845e-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 0.0005545456 1.1044059e-05 1.3052069e-05 9.370716e-06 6.693369e-06 8.70138e-06 8.366711e-06 3.5140187e-05 5.354695e-06 1.0040053e-06 3.3466845e-06 3.3466845e-06 2.342679e-06 2.0080106e-06 4.016021e-06 1.706809e-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 0.000500664 2.342679e-06 1.070939e-05 7.028037e-06 6.693369e-06 1.2717401e-05 1.4056074e-05 1.0374722e-05 2.7442811e-05 1.8406765e-05 2.0749443e-05 1.6064085e-05 1.8406765e-05 1.4390743e-05 5.0200265e-06 3.3466844e-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 0.00040863015 1.2048064e-05 1.7737428e-05 1.3052069e-05 9.370716e-06 1.4725411e-05 1.5729416e-05 4.2502892e-05 3.5474855e-05 1.3386738e-05 1.4725411e-05 1.2048064e-05 1.3052069e-05 9.705384e-06 1.4725411e-05 3.848687e-05 0.00072154513 1.5394748e-05 2.8112148e-05 1.8406765e-05 1.7737428e-05 7.730841e-05 2.5434802e-05 2.6104139e-05 0.00015026613 6.224833e-05 1.706809e-05 2.4096127e-05 3.2797507e-05 8.4001775e-05 2.8112148e-05 4.2168223e-05 0.0009862679 6.1244325e-05 5.354695e-05 5.4550954e-05 4.886159e-05 4.9865597e-05 7.094971e-05 5.2877615e-05 0.00013721405 5.555496e-05 4.4510904e-05 4.718825e-05 4.518024e-05 0.00020615576 7.094971e-05 7.1284376e-05 0.0009203382 5.9236314e-05 6.526035e-05 6.3921674e-05 6.024032e-05 6.3921674e-05 7.663907e-05 6.057499e-05 8.2328435e-05 6.89417e-05 7.161905e-05 7.195371e-05 7.161905e-05 0.00016666487 7.730841e-05 7.5635064e-05 0.21747859 0.14095297 0.110446274 0.08985513 0.07513674 0.06288186 0.05370257 0.044963375 0.03775495 0.030844381 0.025059639 0.019887337 0.014702989 0.010145473 0.005986884 0.0019417462 0.00028379884 0.00017804361 0.00014491144 0.00012382733 0.000112783266 9.43765e-05 7.898175e-05 7.3961724e-05 5.555496e-05 5.789764e-05 4.4176235e-05 3.5809524e-05 3.3132175e-05 2.342679e-05 1.6398753e-05 1.3721406e-05 0.0028205856 0.0026442152 0.0024825705 0.0028276136 0.002450777 0.0028774792 0.0028296215 0.002509344 0.0027375878 0.0026462234 0.0024544583 0.0026729968 0.0024524503 0.0027406 0.002784776 0.0025635601 16524.0 5.8689785 96979.0 0.01699337 0.017395519 0.017251158 0.016096268 0.015487889 0.015848791 0.016013777 0.015797235 0.01521979 0.016024088 0.0149929365 0.0146217225 0.0147557715 0.014168016 0.014776395 0.013910228 0.014446426 0.013270915 0.013477145 0.013693687 0.013972097 0.01323998 0.013755555 0.013250291 0.012683158 0.012930634 0.012116025 0.0118169915 0.011899483 0.01187886 0.011559203 0.011847926 0.011569515 0.011084874 0.01126017 0.011497335 0.010981759 0.011414843 0.010909579 0.010816774 0.010270265 0.010682725 0.010383692 0.010352757 0.009723755 0.010115592 0.009940296 0.010394003 0.009651574 0.009517524 0.0096206395 0.009208179 0.00989905 0.009465967 0.009022572 0.00880603 0.008960702 0.008909145 0.009094752 0.009259737 0.008445127 0.008702915 0.008094536 0.00818734 0.008362635 0.008775095 0.008280143 0.008548242 0.0075995834 0.0071768113 0.008177028 0.00791924 0.007692387 0.0076202066 0.0075892718 0.007970798 0.0073005497 0.0074758455 0.0070221387 0.0070943194 0.0070943194 0.0071768113 0.006743728 0.0063518905 0.006640613 0.006475629 0.007362419 0.0063931365 0.0064240713 0.0064550056 0.0066303015 0.006300333 0.0059497417 0.006465317 0.005774446 0.0057228883 6.5199757 1.0 0.0 0.0 28.0 1495040.0 90112.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 1195581200.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 7.0 10.0 4.0 0.0 4.0 0.0 65536.0 4096.0 4096.0 3.0 0.0 0.0 1.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -65536.0 0.0 11776.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3.0071106 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7.9874797 0.0 4.9739585 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4932.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -61600.0 0.0 12288.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 73.0 86016.0 5008.0 77824.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0


Input: 0.33226907 0.004361642 0.0025653741 0.0035115771 0.036623623 0.0019784246 0.0020948024 0.0020492633 0.0024186366 0.0020492633 0.0019885444 0.0015786918 0.0022465996 0.0017406088 0.002509715 0.0039264895 0.0022516598 0.015215147 0.0019025259 0.01731501 0.002008784 0.0016141111 0.001841807 0.0017659083 0.0020543232 0.0018468669 0.0021909408 0.0019784246 0.0021960007 0.0018316872 0.0020442035 0.0024995953 0.014182926 0.0020340835 0.0016545904 0.0018721664 0.0018671065 0.0017810881 0.0017608484 0.0020998623 0.0018822863 0.0017557886 0.0017254291 0.0015432723 0.002003724 0.0014319543 0.0019126458 0.0017153092 0.0021302218 0.0023629777 0.00334966 0.0023832172 0.0025501943 0.002175761 0.0025856136 0.002185881 0.0024844154 0.0016394106 0.0017507286 0.0017507286 0.0022415398 0.0014268945 0.0016495305 0.0016039913 0.0026513925 0.0024186366 0.0019632448 0.0025299548 0.002514775 0.003860711 0.0030005262 0.002666572 0.0024186366 0.0032130424 0.0020340835 0.0015129129 0.002398397 0.0025856136 0.0025046552 0.0020290236 0.0028639087 0.0018924061 0.0020998623 0.0029296875 0.0021352817 0.0025754939 0.001730489 0.0027627104 0.0019581849 0.0016039913 0.0015989314 0.0016900097 0.0018013277 0.0018316872 0.0015179728 0.0015989314 0.0019885444 0.004093467 0.0016798899 0.016611682 0.003299061 0.0065475227 0.0018266273 0.0023832172 0.002403457 0.0034913374 0.0019632448 0.0017557886 0.003683614 0.002125162 0.0033243604 0.0041541858 0.0025653741 0.0017203692 0.004133946 0.0039264895 0.0051105083 0.0025906735 0.0020796228 0.0023579178 0.0022415398 0.0017912079 0.0016545904 0.0017153092 0.0019025259 0.0023528577 0.0017001295 0.0016950696 0.035485145 0.0030258258 0.0018468669 0.0029296875 0.002448996 0.0028740284 0.0016495305 0.0018316872 0.0017810881 0.0019328854 0.0014167746 0.002464176 0.001735549 0.0028082498 0.0016444705 0.0016141111 0.014957092 0.0014420742 0.0014167746 0.0018316872 0.0014825534 0.0018468669 0.0015432723 0.0016343507 0.0015989314 0.0016444705 0.001452194 0.0015382124 0.0015382124 0.0015432723 0.001502793 0.0018114476 0.001836747 0.0015483323 0.0013813552 0.001730489 0.0015280927 0.0017254291 0.0014268945 0.0017001295 0.0016495305 0.0015483323 0.0013762953 0.001285217 0.0020796228 0.0016090511 0.0014066548 0.001396535 0.0017456687 0.0016647101 0.001735549 0.0016647101 0.0016900097 0.0019936042 0.0015736318 0.0017709683 0.0016849498 0.0016798899 0.0015129129 0.0015685719 0.0015483323 0.001563512 0.0014774936 0.0015483323 0.0021049222 0.0019480651 0.002464176 0.00223142 0.0028740284 0.0016292908 0.001563512 0.0038151715 0.0017406088 0.002621033 0.0016495305 0.001396535 0.0020846827 0.0016444705 0.0016798899 0.0017406088 0.0017102493 0.0016394106 0.001502793 0.001563512 0.0015331525 0.0015280927 0.0016242309 0.0014471341 0.0017153092 0.0016798899 0.0015230327 0.0016242309 0.0018772264 0.0016292908 0.0015685719 0.0015483323 0.0020846827 0.0018519268 0.0015888115 0.001502793 0.0018468669 0.0013661755 0.0014471341 0.0014724336 0.0028031897 0.0020948024 0.0015078529 0.0014926733 0.0025350146 0.0016647101 0.0017406088 0.0016596502 0.0020189038 0.0019784246 0.0018215673 0.002013844 0.001730489 0.001502793 0.0020897426 0.0030814847 0.00167483 0.0016242309 0.0015483323 0.001563512 0.0017760282 0.0014117147 0.0023477979 0.012604234 0.23958333 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.004211426 7.6293945e-06 0.00027211508 8.138021e-05 2.7974447e-05 2.0345053e-05 7.6293945e-06 1.2715657e-05 0.0003077189 1.2715657e-05 0.0 2.5431316e-06 7.8837074e-05 1.780192e-05 3.0517578e-05 0.00011698405 0.008082072 8.646647e-05 6.1035156e-05 8.646647e-05 8.138021e-05 7.6293945e-05 7.120768e-05 7.6293945e-05 8.138021e-05 6.612142e-05 7.120768e-05 8.138021e-05 6.612142e-05 0.0012257894 0.00011698405 8.646647e-05 0.0029271443 0.0 0.0 2.5431316e-06 0.00034077963 0.0001373291 0.0012512207 0.0005493164 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0037892659 4.83195e-05 6.3578285e-05 0.00013987224 0.00016784668 8.392334e-05 3.8146973e-05 5.8492024e-05 0.00012715657 2.5431314e-05 1.780192e-05 1.780192e-05 0.0001449585 2.7974447e-05 8.646647e-05 0.0003712972 0.012931824 0.0002339681 0.00019582112 0.0002924601 0.0043258667 0.002629598 0.013117473 0.0059890747 0.0007247925 0.00017801921 0.00014750163 0.00018310547 0.0002009074 0.00016276042 0.00017547607 0.00017801921 0.002337138 0.0266215 0.00062561035 0.00036875406 0.00088500977 0.0008748372 0.013043721 0.001314799 0.00042978922 0.012158711 0.00044759116 0.0004272461 0.00034332275 0.00045013428 0.00032552084 0.0018463135 0.0037587483 0.0016708374 0.0006866455 0.00021362305 0.00015513103 0.00018819173 0.00084940594 0.00015258789 0.0008036296 0.00082651776 5.340576e-05 7.8837074e-05 0.00019582112 5.8492024e-05 0.00012207031 0.00060272217 0.030423483 0.00071461994 0.011006673 0.0039621987 0.0024592082 0.0021947224 0.0031865437 0.0019607544 0.013013204 0.00053151447 0.0004933675 0.0006637573 0.0031916301 0.00055440265 0.0019683838 0.0070088706 0.0060272217 0.0021921794 0.0009841919 0.001024882 0.0007502238 0.0006205241 0.0019124349 0.0009028117 0.0013809204 0.001024882 0.00019836426 0.0002822876 0.0006866455 0.00017547607 0.000445048 0.00222524 0.06509145 0.009470622 0.008018494 0.009010315 0.008722941 0.0070877075 0.008361816 0.0086085005 0.0315094 0.0067621865 0.0061416626 0.0063095093 0.009038289 0.006210327 0.007937114 0.010052999 0.0035832722 0.00090026855 0.0008239746 0.0009206136 0.0018666586 0.0005849202 0.0014216105 0.0011774699 0.00088500977 0.00035858154 0.0005950928 0.00038909912 0.0007985433 0.0003306071 0.00035858154 0.0006306966 0.019551596 0.018895468 0.01868693 0.018335978 0.020540873 0.018114725 0.017715454 0.018595377 0.018577576 0.01703898 0.017191568 0.01811727 0.018610636 0.016619364 0.017214457 0.017860413 936.0 10.510684 9838.0 0.006200447 0.0018296401 0.003151047 0.002846107 0.002846107 0.0020329335 0.0022362268 0.0024395203 0.0021345802 0.0021345802 0.0030494002 0.0018296401 0.0015247001 0.002541167 0.0045741005 0.0021345802 0.0030494002 0.003151047 0.0037609271 0.0044724536 0.0033543403 0.0027444602 0.004167514 0.0032526937 0.0027444602 0.002541167 0.0023378734 0.0023378734 0.004167514 0.003151047 0.0033543403 0.0022362268 0.0023378734 0.011892661 0.0030494002 0.0155519415 0.012705835 0.010977841 0.017584875 0.018194756 0.013519008 0.011892661 0.0020329335 0.002541167 0.013417361 0.010571254 0.005285627 0.004167514 0.012705835 0.0045741005 0.0048790406 0.023480382 0.0065053874 0.0032526937 0.004370807 0.023988616 0.0022362268 0.0021345802 0.0021345802 0.0021345802 0.0017279935 0.0022362268 0.0022362268 0.0035576336 0.0022362268 0.044826183 0.0054889205 0.03120553 0.028054483 0.0979874 0.007013621 0.015348648 0.013925594 0.040760316 0.002541167 0.005285627 0.039947145 0.013315715 0.03384834 0.049298637 0.013315715 0.0018296401 0.04584265 0.034458224 0.062309414 0.014433828 0.0048790406 0.0074202074 0.009249847 0.009046555 0.002846107 0.0018296401 0.0014230534 0.0033543403 0.0020329335 0.0024395203 5.625971 0.0 0.0 0.0 2.0 197632.0 258048.0 0.0 0.0 3.0 0.0 1.0 0.0 0.0 0.0 1202814100.0 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 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 8.0 1.0 7.0 4.0 10.0 0.0 4.0 0.0 57344.0 1024.0 4096.0 5.0 0.0 0.0 3.0 5.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -62464.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -53760.0 0.0 0.0 0.0 0.0 0.0 78848.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -12.404774 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.6617548 0.0 0.0 0.0 0.0 0.0 5.8335123 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4.430885 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -69632.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -57344.0 0.0 0.0 0.0 0.0 0.0 122880.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 249856.0 1256.0 184320.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0