Input: 0.05634248 0.0082784835 0.0061630537 0.005652468 0.005739968 0.0049607074 0.0041948296 0.005410558 0.005038942 0.005613351 0.0037480672 0.004462475 0.0049421783 0.003169541 0.0043235053 0.0046436507 0.0050358544 0.0037810083 0.0049246782 0.004157771 0.0043492406 0.0031788058 0.00410733 0.003845861 0.0050698244 0.0033476283 0.0031705706 0.002935866 0.0041588005 0.0034454218 0.003779979 0.0037943905 0.006165113 0.003816008 0.003493804 0.0030213066 0.004883502 0.004155712 0.0038376257 0.0037223322 0.0047126208 0.0038901253 0.0033301285 0.003105718 0.0043626227 0.0037233615 0.0037254205 0.0035915975 0.0055052633 0.003958066 0.0031077769 0.002900866 0.0036955676 0.0030768947 0.0026918966 0.0028545428 0.0041742413 0.0033198344 0.0035185097 0.003346599 0.00400336 0.003225129 0.0035123334 0.0034639512 0.006579963 0.003957037 0.0036152739 0.003237482 0.004147477 0.0032292467 0.0035411566 0.0030738064 0.0049915896 0.0037820376 0.003706891 0.00358748 0.0041361535 0.003128365 0.0035483625 0.0034701277 0.0051593827 0.0036224797 0.0036543913 0.0033270402 0.0039189486 0.0033785105 0.0033918929 0.003544245 0.0046457094 0.0036430678 0.0038026257 0.0035102745 0.0040960065 0.0033836577 0.0036904206 0.003779979 0.005889232 0.0036276267 0.0033476283 0.0029574835 0.004010566 0.0030635123 0.0032724817 0.0030336594 0.0049710018 0.0031777765 0.0032024821 0.0030480712 0.0035782154 0.0028555724 0.0031026297 0.0032004232 0.0045087985 0.003280717 0.003225129 0.0031396884 0.0038767431 0.0033383637 0.0032889522 0.0036317443 0.004629239 0.0032951287 0.0034855688 0.0031685117 0.00403836 0.0032035115 0.003473216 0.0033558635 0.008603776 0.0045901216 0.004008507 0.0035277745 0.004360564 0.003450569 0.0030243949 0.003394981 0.004521151 0.0038314492 0.0029729246 0.0031993939 0.003729538 0.0027999843 0.0028586604 0.0029863068 0.0052139414 0.0032158643 0.0035071862 0.0030305714 0.0036585089 0.0031880704 0.0033218933 0.0032796876 0.0045458567 0.0028586604 0.0030511594 0.0027145436 0.003516451 0.0032426289 0.0029863068 0.0031571882 0.0049987957 0.003427922 0.0032889522 0.0028051315 0.0037655672 0.0030048362 0.0030563064 0.0031860117 0.00412483 0.0030089538 0.003128365 0.0030254242 0.0036626265 0.002837043 0.00292866 0.0030470418 0.0046693855 0.0031201297 0.0038376257 0.0028668956 0.0035699802 0.0031427767 0.0029986596 0.0031201297 0.004251447 0.003169541 0.0033496872 0.0031932176 0.0036492443 0.0031911586 0.0033208637 0.0033455696 0.0066901096 0.0040579187 0.0037254205 0.0033486579 0.004122771 0.0032611582 0.003298217 0.0032343937 0.004335858 0.0033404224 0.0031232177 0.0030841003 0.0036327739 0.002991454 0.0030820416 0.0028133667 0.0042432114 0.0032786583 0.003103659 0.003012042 0.003714097 0.003017189 0.0029430718 0.0029554246 0.0039683604 0.0031118945 0.002735132 0.0026517499 0.0035411566 0.0029482187 0.0035915975 0.0028905722 0.004949384 0.0032395406 0.0034135103 0.0029883657 0.003816008 0.003075865 0.0032127763 0.0029224837 0.0044357106 0.005433205 0.0034629218 0.0031499823 0.0037882142 0.0030789534 0.003252923 0.0031798352 0.0045962976 0.003323952 0.003429981 0.0030418949 0.003741891 0.0030943945 0.0033229226 0.0032539524 0.004363652 0.0030336594 0.0031952763 0.002862778 0.0040188013 0.0031067473 0.0042185057 0.00448821 0.011606348 0.0 0.0 0.0 0.0 0.0 1.031217e-06 3.093651e-06 0.0 1.031217e-06 2.062434e-06 0.0 0.0 1.031217e-06 0.0 1.031217e-06 0.0020407785 4.124868e-06 2.062434e-06 6.187302e-06 5.156085e-06 1.031217e-06 3.093651e-05 1.1343387e-05 0.0 0.0 1.031217e-05 0.0 0.0 0.0 0.0 0.0 0.0009451104 2.5780425e-06 6.187302e-06 1.2890213e-05 9.280953e-06 5.6716935e-06 5.156085e-05 2.2686774e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0028466745 3.5576988e-05 2.784286e-05 1.0827778e-05 2.2171165e-05 3.454577e-05 4.22799e-05 1.8046298e-05 3.5576988e-05 5.156085e-06 9.796561e-06 1.5983864e-05 2.6296033e-05 7.218519e-06 1.701508e-05 1.2890213e-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 0.0008749876 1.1858995e-05 1.2374604e-05 8.249736e-06 1.3405821e-05 1.5983864e-05 1.3405821e-05 1.1343387e-05 1.0827778e-05 1.3405821e-05 6.7029105e-06 1.3405821e-05 1.1858995e-05 1.031217e-05 1.8046298e-05 9.796561e-06 0.0016159171 6.496667e-05 5.6716934e-05 4.84672e-05 4.743598e-05 3.04209e-05 2.2686774e-05 0.0005517011 2.9905294e-05 1.701508e-05 1.9593122e-05 0.00027585056 2.062434e-05 0.0002727569 1.6499473e-05 7.7341276e-05 0.000738867 3.7123813e-05 3.403016e-05 2.062434e-05 2.2171165e-05 1.701508e-05 1.392143e-05 1.1858995e-05 1.6499473e-05 2.2686774e-05 1.9077515e-05 1.7530689e-05 6.7029105e-06 4.6404766e-06 2.2686774e-05 5.0529634e-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 0.0013111924 3.7123813e-05 4.2795506e-05 5.9810587e-05 4.22799e-05 3.145212e-05 9.126271e-05 5.8263762e-05 3.9186245e-05 5.7232544e-05 4.3826723e-05 4.2795506e-05 7.785689e-05 7.734127e-06 8.765344e-06 0.00016035425 0.0011626972 6.909154e-05 4.5889155e-05 4.5889155e-05 3.815503e-05 3.763942e-05 4.743598e-05 5.9810587e-05 5.207646e-05 5.0529634e-05 6.806032e-05 5.156085e-05 7.476323e-05 1.4437038e-05 4.3826723e-05 0.00025007012 0.004558495 0.00028822516 0.00026399156 0.00026450717 0.0002975061 0.00023202383 0.00032431775 0.00030214657 0.000327927 0.0003511294 0.0003289582 0.00035525425 0.00052592065 0.00015932303 0.00018355662 0.0007404138 0.0031797576 0.00027224128 0.00029905292 0.00024749208 0.00028719392 0.00028100662 0.00034133284 0.0009286109 0.00040526828 0.00034958255 0.0003227709 0.0006656506 0.0004604384 0.00043311113 0.00017376007 0.00085642573 0.0022392878 0.00018097859 0.00028874076 0.00024388282 0.0002969905 0.00029338125 0.00028410027 0.00040062782 0.00044084527 0.0003212241 0.00024491403 0.0003155524 0.00045837596 0.00016086985 0.00018871271 0.0010332795 0.00034287965 5.413889e-05 4.2795506e-05 4.485794e-05 5.413889e-05 4.795159e-05 5.3107677e-05 5.156085e-05 7.0122755e-05 4.795159e-05 3.815503e-05 4.898281e-05 4.434233e-05 2.6296033e-05 4.1764288e-05 4.6920373e-05 0.09895043 0.06204678 0.06242833 0.05536501 0.06061236 0.059539378 0.055005115 0.05451993 0.06046077 0.053268544 0.052197628 0.053020537 0.056462225 0.05062296 0.05670714 0.053882636 4052.0 5.701135 23101.0 0.017185403 0.010562314 0.009436821 0.008787499 0.013505909 0.012510281 0.011731094 0.011384789 0.012640146 0.009653262 0.008571058 0.008657634 0.013895502 0.010475737 0.011860958 0.009956279 0.016752522 0.01181767 0.008700922 0.0074888533 0.009826414 0.008484481 0.007921735 0.0083113285 0.010259296 0.008397905 0.00969655 0.008787499 0.011428077 0.008917362 0.009566685 0.009263668 0.018007878 0.010908619 0.0103458725 0.009090516 0.010778754 0.008830787 0.010605602 0.008397905 0.014241808 0.011644518 0.00969655 0.008917362 0.011384789 0.009263668 0.011557941 0.009653262 0.0147179775 0.009609974 0.009956279 0.008960651 0.0120773995 0.009480109 0.009609974 0.010086143 0.01372235 0.009263668 0.010475737 0.009609974 0.011081771 0.009783126 0.01038916 0.010605602 0.017791437 0.010951906 0.009609974 0.008138176 0.013029739 0.008224752 0.009306956 0.0083113285 0.015324012 0.009350245 0.008874075 0.008700922 0.011384789 0.0080083115 0.009956279 0.007835159 0.013116315 0.007965023 0.00874421 0.008700922 0.011471365 0.009436821 0.0083113285 0.008138176 0.011211636 0.009133804 0.011990823 0.008657634 0.0113415 0.008917362 0.010129431 0.00874421 6.5550203 0.0 0.0 0.0 14.0 971434.0 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: 0.15919317 0.0097814845 0.005488751 0.0058701835 0.00813292 0.0039953454 0.0047258856 0.00321955 0.008242824 0.003226015 0.0032454098 0.0024825446 0.0057602795 0.0034328937 0.0024760796 0.0057667443 0.0063809156 0.0020881821 0.0020881821 0.0021851563 0.0039113006 0.0032389448 0.0024696146 0.0021463668 0.003575123 0.0020752521 0.001965348 0.0021269717 0.0032518748 0.0025213344 0.002062322 0.0024696146 0.0071631754 0.0021722266 0.0020881821 0.0018101888 0.0054241014 0.0018231187 0.0020170675 0.0020299975 0.0023855702 0.0017390742 0.0021334367 0.002870442 0.0022045514 0.0021269717 0.0026377037 0.0020817171 0.0060382728 0.0036074477 0.002870442 0.006128782 0.0028833721 0.00321955 0.002579519 0.0022239462 0.003070856 0.0034005689 0.0026118439 0.0052495473 0.0030320662 0.0035040083 0.002734678 0.0027023533 0.00804241 0.0074540987 0.002114042 0.002760538 0.0037432117 0.0060641323 0.0034910783 0.0028769071 0.0028769071 0.0023532454 0.002566589 0.0018101888 0.002721748 0.003730282 0.0025019394 0.0019136282 0.0057667443 0.0030449962 0.0025277992 0.0046224464 0.0024696146 0.004493147 0.0049133697 0.004202224 0.002275666 0.004997414 0.001784329 0.003070856 0.0022045514 0.0037561418 0.0033941038 0.0029738816 0.0023920352 0.0038466512 0.0021334367 0.0037432117 0.0035169383 0.006245151 0.0033423842 0.0026053789 0.004241014 0.004499612 0.0039565554 0.0018813034 0.0036785621 0.0027928627 0.003730282 0.004331523 0.0034846135 0.0019071632 0.005611585 0.00397595 0.010201707 0.009322472 0.0032777346 0.0026247737 0.0023273856 0.0023079908 0.001784329 0.001764934 0.0022885958 0.00321955 0.0025148694 0.0022821308 0.0034070339 0.0035492629 0.0022239462 0.010499095 0.003064391 0.0068334625 0.0024631498 0.0019200931 0.002754073 0.008598397 0.0026053789 0.01844453 0.002120507 0.006768813 0.0020106025 0.0019459529 0.0023079908 0.0017972589 0.0018877683 0.002120507 0.0021334367 0.0020235325 0.001784329 0.0017520041 0.0018554435 0.0018037239 0.00161624 0.001764934 0.0019718127 0.002120507 0.0017390742 0.001764934 0.002068787 0.0023855702 0.001609775 0.0021722266 0.0021851563 0.0019782777 0.0016614947 0.0018748384 0.0023079908 0.0015386605 0.0017455391 0.0017196793 0.0020170675 0.0017520041 0.0017520041 0.0017326092 0.0021528318 0.0018295837 0.0016356348 0.0016227049 0.002101112 0.002120507 0.0019912077 0.0019524179 0.0026700285 0.0018360487 0.0018425136 0.0017584692 0.0023079908 0.0022304112 0.0022239462 0.0019136282 0.0055986554 0.0036656323 0.0028445823 0.00483579 0.0039630206 0.0022239462 0.0033229894 0.004654771 0.0028381173 0.0030385312 0.0019782777 0.0020106025 0.0065360744 0.0019265581 0.0022885958 0.001958883 0.0026894233 0.0023338506 0.002120507 0.0020170675 0.0023920352 0.0017067494 0.0020364623 0.0018748384 0.0026441687 0.0017326092 0.0018166538 0.0021722266 0.0023015258 0.0020299975 0.0015968451 0.001764934 0.0033941038 0.0018231187 0.001777864 0.0016938195 0.0032066202 0.002773468 0.001939488 0.0019136282 0.011080941 0.0033553143 0.0018166538 0.004700026 0.003930696 0.001609775 0.0018425136 0.0019459529 0.004790535 0.002728213 0.002114042 0.0023144556 0.0026894233 0.0021657615 0.003070856 0.00323248 0.0043056635 0.002560124 0.002417895 0.0038272564 0.004674166 0.0037690715 0.0039436254 0.035822343 0.04 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.016295573 0.0003938802 0.0004264323 0.00015625 0.0006705729 0.00026041668 0.0002766927 0.00025065104 0.00013997396 8.789063e-05 0.00020182291 9.440104e-05 0.00017903646 0.00018229167 0.00012369792 0.00026041668 0.005270182 9.440104e-05 6.8359375e-05 4.8828126e-05 6.8359375e-05 8.4635416e-05 7.486979e-05 5.859375e-05 0.00018880208 6.184896e-05 4.8828126e-05 5.2083335e-05 0.00018229167 0.000107421874 9.440104e-05 0.00016276042 0.0046321615 0.00018554687 0.00012695312 9.765625e-06 0.0003873698 0.00016601563 0.0005501302 0.0003157552 2.9296874e-05 1.6276043e-05 1.953125e-05 2.9296874e-05 4.2317708e-05 2.9296874e-05 6.510417e-06 0.00012044271 0.015602213 0.00033528646 0.00045247396 0.0019726562 0.0015625 0.0004264323 0.0009928385 0.00069010415 0.0002669271 0.00030273438 0.00016601563 0.00017252604 0.0001920573 0.0003125 0.00024739583 0.0029720052 0.016708985 0.0011816407 0.0023046874 0.0008463542 0.0018847656 0.0010286458 0.00789388 0.0044433596 0.00046875 0.0003515625 0.00028320312 0.00029296876 0.00040039062 0.00034179687 0.00035481772 0.0012141927 0.0063834637 0.0007519531 0.0012174479 0.00045247396 0.001266276 0.0006477865 0.0053548175 0.0027539062 0.00016927083 6.184896e-05 8.4635416e-05 8.4635416e-05 0.00012695312 8.4635416e-05 9.765625e-05 0.00046223958 0.007724609 0.0009342448 0.00080078124 0.006907552 0.00095052086 0.0010253906 0.0011816407 0.00092447916 0.001031901 0.0005403646 0.00045898437 0.00057617185 0.0013183594 0.00049804687 0.00079427083 0.0009993489 0.0132779945 0.00095052086 0.0010123698 0.0027734374 0.0019335938 0.0017578125 0.002063802 0.0022167969 0.0047623697 0.0007584635 0.00070963544 0.0011328125 0.002265625 0.001077474 0.0021289063 0.0078450525 0.03760742 0.006640625 0.0048046876 0.0062792967 0.012008464 0.011471354 0.0045865886 0.008714193 0.02287435 0.0021484375 0.0020410155 0.0026009115 0.011116536 0.003141276 0.009042969 0.021588542 0.044990234 0.010563151 0.008841146 0.013050131 0.01438151 0.017415365 0.010807292 0.01568034 0.026617838 0.0030664064 0.0037532551 0.0042610676 0.015338542 0.0051302086 0.01336263 0.02607422 0.024840495 0.02257487 0.022646485 0.023339843 0.022057291 0.022402344 0.023085937 0.022942709 0.022942709 0.023115234 0.022792969 0.02298177 0.022747396 0.022386068 0.02273112 0.023079427 865.0 12.687861 10975.0 0.049111616 0.0023690206 0.003189066 0.0019134396 0.004191344 0.0023690206 0.0030068336 0.006287016 0.004829157 0.0023690206 0.0029157174 0.0029157174 0.0043735765 0.0065603643 0.011389522 0.008200455 0.026150342 0.013667426 0.010842824 0.0106605925 0.006013667 0.008473804 0.008929385 0.0061047836 0.0064692483 0.006287016 0.0071070613 0.0061047836 0.0076537584 0.008838269 0.0065603643 0.0061958996 0.005375854 0.008473804 0.002004556 0.009840547 0.0071070613 0.0049202736 0.0052847383 0.0072892937 0.004829157 0.006287016 0.0027334853 0.0026423691 0.0061958996 0.005375854 0.0032801821 0.0030068336 0.012756264 0.004009112 0.0056492025 0.01785877 0.0081093395 0.004191344 0.011753987 0.01357631 0.004191344 0.0036446468 0.0033712983 0.0039179954 0.0029157174 0.0041002277 0.003189066 0.0055580866 0.0061958996 0.032255124 0.00738041 0.028428245 0.015398634 0.057585422 0.008200455 0.013849658 0.012938497 0.03854214 0.0030979498 0.003189066 0.024054669 0.015763098 0.03289294 0.038451023 0.017585421 0.0028246013 0.042004555 0.027699316 0.0523918 0.016856492 0.009111618 0.0064692483 0.0061958996 0.009476082 0.0034624145 0.0015489749 0.0032801821 0.0022779044 0.002004556 0.0030979498 5.964937 0.0 21.0 0.0 4.0 154680.0 167936.0 1.0 0.0 93.0 0.0 1.0 1.0 0.0 0.0 1373439900.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 9.0 0.0 5.0 0.0 5.0 0.0 56320.0 1024.0 4096.0 5.0 0.0 0.0 2.0 4.0 0.0 0.0 0.0 0.0 0.0 -72192.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 12800.0 0.0 0.0 0.0 0.0 0.0 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 -56320.0 0.0 512.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7.43746 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.32943 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.4868839 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.594381 0.0 4.878783 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -73728.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 12630.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -11520.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -55833.0 0.0 436.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 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 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 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 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 60.0 71940.0 436.0 90112.0 0.0 0.0 7736.0 81408.0 0.0 0.0 28.0 61888.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 68784.0 0.0 0.0 380.0 61440.0 0.0 0.0 0.0 0.0


Input: 0.12932152 0.014098551 0.003796729 0.0035594334 0.015043169 0.0035822503 0.0031281943 0.004170926 0.008065768 0.0048029535 0.0032879126 0.0028498285 0.0057954877 0.0025554907 0.005706502 0.0057544173 0.0050288406 0.0024163076 0.0027152088 0.0031373212 0.0044721086 0.002530392 0.0023501387 0.00250073 0.003869743 0.0025874344 0.0024117443 0.0025646174 0.0040020808 0.0025440822 0.0023912091 0.0024003359 0.0045679393 0.0037579404 0.0023661104 0.0023798007 0.022673134 0.0025919976 0.0026056878 0.0024824766 0.002815603 0.0025349555 0.00250073 0.0024117443 0.0038423627 0.0024345613 0.0039473204 0.0023569837 0.0029045888 0.0035366165 0.0024847584 0.0026125328 0.0025646174 0.002261153 0.0024482512 0.0025098568 0.0025897159 0.0026604482 0.0024779132 0.0024163076 0.0032696591 0.0028908988 0.00247335 0.0028863354 0.0053049247 0.007358444 0.003657546 0.0036370107 0.013710664 0.0035890953 0.008665851 0.002457378 0.0045633763 0.0024756317 0.002626223 0.002553209 0.0031327577 0.002414026 0.002427716 0.0023592655 0.0031053775 0.0025030118 0.0027038003 0.0030551804 0.0048097987 0.0027266173 0.0025349555 0.0026056878 0.0028475467 0.0024322795 0.0024254345 0.002792786 0.0027882229 0.0026421947 0.0027996313 0.0029502227 0.0049467 0.005229629 0.0024414062 0.0026832651 0.005003742 0.0029205608 0.0032787859 0.0025349555 0.0027608427 0.0026353498 0.0023592655 0.0025281103 0.0033016026 0.0026056878 0.0029228425 0.0029068706 0.0029570677 0.002450533 0.0029616312 0.0027996313 0.004602165 0.0033449547 0.0033632081 0.0027038003 0.0028270115 0.0024528147 0.002603406 0.002553209 0.0027015186 0.0024619414 0.002546364 0.0025281103 0.0035137997 0.0029525044 0.002582871 0.006085262 0.0047847 0.00783988 0.0027882229 0.0026376315 0.0028133213 0.012654242 0.0030711521 0.007862697 0.0025258288 0.005063066 0.0025258288 0.0023296035 0.004383123 0.0022999416 0.002334167 0.0026536032 0.0027403075 0.0032650956 0.0025988428 0.0023501387 0.0024185893 0.0030369267 0.0024687864 0.0023067866 0.00232504 0.0025030118 0.0023296035 0.0023387303 0.0023569837 0.0025668992 0.0023957724 0.0022908149 0.0025418005 0.002398054 0.0023934909 0.0039336304 0.0025212653 0.0024961669 0.0024756317 0.002874927 0.0024642232 0.002318195 0.0023661104 0.0023843641 0.0024642232 0.0023866456 0.0022908149 0.0023798007 0.0024824766 0.0024961669 0.0026216595 0.002370674 0.0042074327 0.0039085317 0.004248503 0.0024596597 0.0026216595 0.0026079696 0.0026513215 0.0024482512 0.0049968967 0.0028794904 0.0026376315 0.0033997153 0.0031350395 0.0026513215 0.0054965867 0.01559762 0.0024596597 0.003445349 0.0025189836 0.0023798007 0.002678702 0.0023455753 0.0025281103 0.0023912091 0.003087124 0.002626223 0.0029433777 0.0027220538 0.002626223 0.0023729557 0.0024254345 0.0023661104 0.0031738281 0.0024619414 0.0023090683 0.0026695752 0.0025646174 0.0023090683 0.0023843641 0.0025509272 0.0026878286 0.0023296035 0.002560054 0.0023683922 0.0025851526 0.0023957724 0.0024163076 0.002450533 0.010306385 0.0044972072 0.002443688 0.0036347292 0.0030916873 0.0027768144 0.0023729557 0.0023683922 0.0026672934 0.0023866456 0.002603406 0.0027813779 0.0024961669 0.002370674 0.002808758 0.002507575 0.002815603 0.0026216595 0.003342673 0.0030597437 0.0027106456 0.0027631242 0.0031989268 0.018367589 0.04214885 1.1435158e-06 0.0 0.0 2.2870315e-06 1.1435158e-06 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.1435158e-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 0.002021736 4.574063e-06 1.1435158e-05 2.744438e-05 9.148126e-06 8.00461e-06 3.544899e-05 4.574063e-06 1.9439769e-05 2.8587896e-05 4.574063e-06 1.1435158e-06 7.661556e-05 1.2578674e-05 6.861095e-06 6.975447e-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 0.0014728484 5.717579e-06 3.6592504e-05 4.574063e-06 6.174985e-05 5.7175792e-05 0.00038422132 0.0002092634 1.1435158e-06 5.717579e-06 9.148126e-06 4.574063e-06 1.0291642e-05 7.089798e-05 5.717579e-06 2.2870315e-06 0.005750741 0.00028587895 0.00020468934 0.00024128183 0.0005729014 0.00017610143 0.0005591792 0.0003750732 0.00018296253 0.0002389948 2.4013832e-05 1.4865705e-05 0.00026186512 2.973141e-05 9.719884e-05 0.00035220286 0.015562107 0.0013127561 0.00063922536 0.0004974294 0.0034122511 0.000614068 0.0008747896 0.00085878035 0.0010142985 0.00020125878 0.00014751354 0.00014865705 0.0014191031 0.00027673083 0.00020468934 0.0009193867 0.016352275 0.00046541094 0.0021440922 0.0004905683 0.0023842305 0.00033733717 0.0013504921 0.0009857106 0.003329918 0.0008439147 0.00023670777 0.0006643827 0.0018787965 0.00031446686 0.00061635504 0.0027341463 0.024276841 0.0016500934 0.0053322143 0.0009868542 0.005549482 0.0014419734 0.003046326 0.0013207608 0.0060823606 0.00081875734 0.00053859595 0.0013859412 0.004360226 0.00060949393 0.0022172772 0.0036146534 0.045170017 0.0038422132 0.015337978 0.0016077833 0.015430602 0.0024414062 0.00672616 0.0014156726 0.007451149 0.0014717048 0.0022252817 0.0043099113 0.010285925 0.000975419 0.0063899662 0.003724431 0.019113867 0.0027295721 0.003953134 0.0023087584 0.0052796123 0.0031904092 0.0013104691 0.0033619364 0.012837108 0.0015277371 0.0007672991 0.0015037233 0.0048290673 0.0019657037 0.0038319214 0.008773053 0.006092652 0.001299034 0.0022527261 0.00090795156 0.0019748518 0.0015471769 0.0005134386 0.0012327101 0.0049365577 0.0010268772 0.00031675387 0.00051115156 0.0020468934 0.00093539595 0.0017930327 0.0030577614 0.036534186 0.036314633 0.036461003 0.03600131 0.03619685 0.036004737 0.036282614 0.036172837 0.03633407 0.03621057 0.036598224 0.036199138 0.036498737 0.036495306 0.036191132 0.03630091 1432.0 6.9406424 9939.0 0.022336252 0.005131301 0.0072441897 0.0068417345 0.009256464 0.008954623 0.00835094 0.0068417345 0.008149713 0.0065398933 0.0073448033 0.0071435757 0.009759533 0.0073448033 0.009256464 0.0063386657 0.009457692 0.010363216 0.009055237 0.0071435757 0.008753396 0.007546031 0.0085521685 0.0072441897 0.0065398933 0.008451555 0.010161988 0.007948486 0.012375491 0.0069423486 0.0072441897 0.006640507 0.0085521685 0.009155851 0.020022135 0.008753396 0.008451555 0.010463829 0.0065398933 0.0069423486 0.0073448033 0.008652782 0.006741121 0.007847872 0.008854009 0.0068417345 0.0076466445 0.00563437 0.007847872 0.007445417 0.008149713 0.009155851 0.007747258 0.0065398933 0.00835094 0.0080491 0.0072441897 0.0064392798 0.0068417345 0.012375491 0.0068417345 0.012476104 0.011469967 0.023040548 0.0071435757 0.024952209 0.00965892 0.021430727 0.017607406 0.028876144 0.009860147 0.010966898 0.011771808 0.020525204 0.005936211 0.008451555 0.021933796 0.010161988 0.021631954 0.022135023 0.0119730355 0.008149713 0.026260188 0.020022135 0.030586578 0.013079787 0.008451555 0.006640507 0.009357078 0.009457692 0.008250327 0.0071435757 0.005835597 0.007747258 0.0073448033 0.0069423486 6.419034 0.0 0.0 0.0 7.0 438272.0 462848.0 0.0 0.0 54.0 0.0 1.0 0.0 1.0 0.0 1541593300.0 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 0.0 2.0 23.0 4.0 0.0 4.0 0.0 136192.0 1024.0 4096.0 9.0 1.0 0.0 1.0 6.0 0.0 0.0 -512.0 0.0 0.0 0.0 0.0 0.0 -512.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -274432.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -136192.0 -13312.0 2560.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.986295 0.0 0.0 0.0 0.0 0.0 -1.3741854 0.0 0.0 0.0 0.0 0.0 5.2478747 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7.7844305 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.813414 -9.94321 3.5040245 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -32.0 0.0 0.0 0.0 0.0 0.0 -24.0 0.0 0.0 0.0 0.0 0.0 9408.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 184.0 0.0 0.0 -273928.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -135748.0 -12828.0 2408.0 0.0 0.0 0.0 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 -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 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 1.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1568.0 446464.0 2408.0 458752.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 24.0 454656.0 0.0 0.0 0.0 0.0 228.0 446772.0 0.0 0.0 0.0 0.0


Input: 0.14221504 0.008616912 0.004179364 0.003418464 0.006231187 0.003942281 0.0020257563 0.0019574864 0.007870908 0.0015081458 0.0016993018 0.0015031807 0.0045666406 0.0013703646 0.0012288595 0.003883941 0.006154228 0.0015031807 0.0011854151 0.00089495734 0.0024676493 0.0019798293 0.0007671063 0.0008254461 0.0023050427 0.0007546936 0.00083041115 0.000711249 0.0016161365 0.0006044996 0.0005945694 0.00056602014 0.0038864235 0.0005871218 0.0006529092 0.00054367725 0.0041607446 0.0013194724 0.00046547712 0.00056229637 0.0011854151 0.0006541505 0.00058463926 0.00094460824 0.001107215 0.0023460046 0.0006777347 0.0005188518 0.0058327387 0.0027792086 0.003442048 0.010216912 0.0036121025 0.002000931 0.0029865012 0.0016844065 0.0040279287 0.0020257563 0.0007162141 0.0014858029 0.0016707525 0.0009781226 0.0004667184 0.0005300233 0.011803258 0.003938557 0.004914197 0.008850272 0.003878976 0.03264546 0.0032769588 0.0027159038 0.0033923972 0.0035574865 0.0021945694 0.0023609 0.002717145 0.004399069 0.0011630722 0.0015354538 0.0090836305 0.0021498837 0.0020617533 0.009782467 0.003213654 0.0138749415 0.0032310318 0.002101474 0.0019314197 0.0065315748 0.0027494181 0.00326827 0.0015702095 0.004649806 0.002384484 0.003614585 0.005780605 0.0044561676 0.0018482545 0.0033166795 0.009330644 0.006186501 0.0040589604 0.0015900698 0.007942902 0.004307215 0.0037548486 0.0014076028 0.0035860357 0.0017812258 0.004513266 0.0041197827 0.003232273 0.0017576416 0.0050072926 0.003914973 0.010286423 0.005594414 0.0018147401 0.0011543833 0.0029331264 0.001267339 0.0005325058 0.0005920869 0.0016583398 0.0025259892 0.0010662529 0.0008775795 0.005260512 0.0011618308 0.0010923196 0.00909232 0.00313173 0.0032372382 0.0010377036 0.00062063616 0.002671218 0.0152378585 0.0022404965 0.05189511 0.0012003103 0.011036152 0.0008602017 0.0006826998 0.0026650117 0.00044561675 0.00072986813 0.00064794417 0.0011270753 0.0009396431 0.0015168347 0.000569744 0.0011779674 0.0005908456 0.000501474 0.00071497285 0.00095950346 0.00047788984 0.0004667184 0.0004207913 0.0008999224 0.0033402639 0.00046795965 0.0025595035 0.0014287045 0.000820481 0.00056602014 0.00045430567 0.0010501164 0.00045927076 0.0005114042 0.0004890613 0.00085027155 0.0004518231 0.00074476335 0.0006603569 0.0013294027 0.00068766484 0.00173654 0.0005387122 0.00088130333 0.0006727696 0.00071497285 0.0015851047 0.0031615205 0.002543367 0.004667184 0.0008266874 0.0010041893 0.00048161365 0.0008564779 0.0007174554 0.0120391 0.001153142 0.0022951125 0.010385726 0.0043730023 0.001062529 0.0035698991 0.0033799845 0.0018768037 0.0017712956 0.0009868115 0.0013070598 0.0016881303 0.0008961986 0.0009955004 0.0009458495 0.0028847167 0.0011543833 0.00298526 0.0013579519 0.0018197052 0.0007708301 0.0016099302 0.0008788208 0.0033799845 0.00065663306 0.001089837 0.0017936385 0.0015019395 0.0007211792 0.0005647789 0.00084530644 0.002447789 0.0006603569 0.00088130333 0.0009942591 0.0024415827 0.0024403413 0.0005523662 0.0006963538 0.027707681 0.006047479 0.0010972847 0.005920869 0.0065564 0.0010463926 0.0006826998 0.0007571761 0.0072688907 0.0009806051 0.001823429 0.00092226535 0.00917052 0.002178433 0.004111094 0.002602948 0.010103957 0.0030647013 0.0030845618 0.0036257564 0.014942436 0.0040105507 0.004317145 0.069182314 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0017826931 0.0 0.0 0.00051938195 0.00024569567 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.011188794 0.0 0.0 0.0046675955 0.003251891 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0017198697 0.0 0.0 0.0012533589 0.00084842753 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00055297074 3.732086e-06 1.8038416e-05 6.717755e-05 0.00014928344 7.588575e-05 6.2201434e-06 7.464172e-06 1.5550359e-05 0.0 0.0 1.866043e-06 8.086186e-06 3.1100717e-06 4.9761147e-06 0.00035952427 0.006115023 0.00020650876 0.00021397293 0.00055234873 0.0019164261 0.00048952526 0.0024544685 0.0010679986 0.0001953125 0.00010076632 9.268014e-05 7.5263735e-05 0.0006736415 0.00038129478 0.00040182125 0.0028973427 0.013362734 0.0006431628 0.00094857183 0.0020874802 0.004141371 0.0036195014 0.006987087 0.0032189242 0.0004553145 0.00023636545 0.00031162918 0.00033153364 0.0020887242 0.0011078075 0.0011252239 0.0090160975 0.020833125 0.0013068521 0.0012371865 0.00208437 0.0073385253 0.0025689192 0.0067115347 0.0032661972 0.0023991093 0.0009778065 0.0009796725 0.0013398188 0.0040704617 0.0026578673 0.002682126 0.009610121 0.020286376 0.0015668541 0.0012552249 0.0022747065 0.009457106 0.0040567773 0.00590416 0.0034185909 0.0058301403 0.0014181926 0.0017845591 0.0023126493 0.0038751492 0.0017783389 0.0040580216 0.009704046 0.07428655 0.009853329 0.007307424 0.010118308 0.042217355 0.030716311 0.021382987 0.01400403 0.05166451 0.0053107585 0.006077702 0.009176577 0.016849747 0.0070996718 0.027542794 0.061296403 0.060481563 0.010167446 0.009152319 0.011715018 0.028224522 0.030720044 0.017736739 0.01466461 0.0500056 0.00590727 0.006506892 0.009184663 0.021177722 0.0109785525 0.025176652 0.048709944 0.0002344994 4.7895104e-05 8.645999e-05 5.2249205e-05 9.0814094e-05 9.9522294e-05 4.3541004e-05 6.593352e-05 0.0001349771 2.9234674e-05 3.3588774e-05 2.9234674e-05 8.459395e-05 6.033539e-05 7.339769e-05 0.00010760848 5347.0 16.000187 85553.0 0.005470293 0.00012857527 0.0005610557 9.350928e-05 0.0033663344 0.0005727444 0.00012857527 0.00017532991 0.00039741446 0.00040910312 0.00073638564 0.00058443303 0.00050261244 0.01431861 0.0011338001 0.00046754643 0.02635793 0.017497925 0.027631994 0.012904282 0.023657849 0.014739402 0.024218906 0.011630218 0.026100779 0.014458873 0.0008298949 0.00051430106 0.00095847016 0.0005376784 0.00011688661 0.00014026393 0.0013675733 0.008567789 0.007433988 0.01457576 0.0071651493 0.016200485 0.004745596 0.0030858065 0.0049443035 0.017673256 0.0024663075 0.0040092105 0.0068495553 0.0066976026 0.0044533797 0.009257419 0.012962725 0.0026299488 0.0060079717 0.020560354 0.013126366 0.0062884996 0.005926151 0.0035065983 0.0027935898 0.005376784 0.0015312146 0.0030039859 0.0011688661 0.0028052786 0.0029221652 0.022290276 0.00025715053 0.030939884 0.013710799 0.027187824 0.02627611 0.053113274 0.012249717 0.010367842 0.019169403 0.03511274 0.007714516 0.0068495553 0.024464367 0.012039321 0.03832712 0.034633502 0.019075895 0.0030741177 0.03935572 0.028835926 0.041681763 0.011092539 0.010671747 0.0060781036 0.0145056285 0.006709291 0.0010519795 0.00029221651 0.00054936705 0.00025715053 0.0003039052 0.00031559385 5.769931 0.0 2.0 14.0 4.0 805625.0 3952640.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 708992500.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 2.0 -1.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 25.0 4.0 0.0 4.0 0.0 1267200.0 1024.0 4096.0 8.0 2.0 0.0 1.0 4.0 0.0 0.0 0.0 0.0 0.0 -84992.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 512.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -859648.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1267200.0 0.0 0.0 0.0 0.0 0.0 0.0 -12800.0 1672192.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.5814605 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -48.0 0.0 0.0 -84528.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 24.0 0.0 31073.0 0.0 0.0 0.0 0.0 0.0 -859536.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1266868.0 0.0 0.0 0.0 0.0 0.0 0.0 -12546.0 1672153.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 12546.0 2166784.0 1672153.0 2277376.0 0.0 0.0 8384.0 3898368.0 84528.0 2191360.0 0.0 0.0 0.0 0.0 0.0 0.0 24.0 2187264.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0


Input: 0.38341993 0.015929775 0.0076525705 0.0062171654 0.0065700817 0.005894944 0.0027245933 0.002361395 0.0042436155 0.0028689958 0.002244512 0.0014399413 0.0018584814 0.0027444013 0.0011526486 0.012458977 0.0036318335 0.0012215988 0.0011290604 0.0012232622 0.00142724 0.003412735 0.0011936256 0.0010667632 0.0017597434 0.00089589966 0.00073546934 0.0006940387 0.00088985136 0.0008012442 0.00083042716 0.0044548516 0.010410732 0.0011159054 0.0012067806 0.00096409384 0.01177628 0.002537702 0.0009937304 0.00095925527 0.003095352 0.0015477517 0.0009814827 0.0012028492 0.0014928636 0.0015288509 0.0021168937 0.0011515901 0.004475567 0.004531362 0.0014139337 0.0008608197 0.00088561757 0.0007808313 0.0009990226 0.0016876179 0.0031584054 0.0017482517 0.0009677228 0.0006191914 0.0009379351 0.0015176615 0.00067181134 0.0007775048 0.0032199465 0.0076599796 0.0011351086 0.001746286 0.007666935 0.0028671813 0.0010806742 0.0010197379 0.035790775 0.004041906 0.00077039807 0.0008608197 0.008231088 0.0019120086 0.0011391912 0.00075799914 0.0025457158 0.0007143004 0.00093445735 0.0020660881 0.002675905 0.0016295546 0.0017592899 0.0014633783 0.0014077342 0.00061405037 0.0005168245 0.0022733926 0.0016088391 0.0018755678 0.0021622556 0.005099597 0.0025240933 0.0044170497 0.0031110777 0.005249896 0.0043810625 0.007260643 0.0047072154 0.0014815232 0.0024560504 0.004200824 0.0006104214 0.0010823375 0.0039259307 0.0028255994 0.0037644417 0.0044023828 0.0050914316 0.0013576848 0.0048228884 0.0051665814 0.008449279 0.0041506235 0.0022322643 0.0013253266 0.0038052676 0.0012025468 0.0010339513 0.0012179699 0.0015666526 0.0005367838 0.00058637955 0.0007918694 0.0032480708 0.0013440762 0.0013218488 0.008191017 0.0062179216 0.0056345663 0.0011574872 0.00085976126 0.0014973999 0.024251133 0.00046012196 0.010457909 0.00090512325 0.008611221 0.0006030123 0.0006473158 0.0036768932 0.00069948216 0.0005937887 0.0006095142 0.0011307236 0.00061011896 0.00046193643 0.00046526297 0.0008224132 0.0010572372 0.00044409404 0.00042201788 0.00054131995 0.00037015398 0.000375295 0.00040810686 0.001101692 0.00045316646 0.0004794764 0.00045513213 0.00054177357 0.00038361136 0.0004997381 0.00034248317 0.00070613524 0.00042821735 0.00039464945 0.00040977012 0.000560372 0.00060165144 0.0004859783 0.00047357936 0.0010192842 0.00042141305 0.0004896073 0.0004137015 0.0005104738 0.00042882218 0.0013911015 0.000773271 0.0022408832 0.0012959925 0.0017524855 0.00051788293 0.0007118811 0.00044318681 0.0006266005 0.00054600736 0.005597218 0.003706832 0.0014381268 0.0031248375 0.0026101298 0.0009332477 0.0016440704 0.0026753 0.0010755332 0.0017975451 0.00067302096 0.0009795169 0.0007047744 0.00061268953 0.00084131403 0.00058002886 0.0018017789 0.00083072955 0.0025891121 0.0010017443 0.00054343685 0.0005916718 0.0007570919 0.00061314314 0.0013620699 0.0030847676 0.0012935732 0.000940052 0.00046420452 0.00058199454 0.00049187534 0.0008476647 0.0021748058 0.0010458967 0.0015258268 0.0005496363 0.000813492 0.0005196974 0.0005278626 0.00050956657 0.012316692 0.0044628656 0.0011437275 0.0016260768 0.0018828257 0.0007076473 0.00056626904 0.0005541725 0.0018014765 0.0021546953 0.0011788073 0.00070235506 0.000487944 0.0004968652 0.0012937244 0.0009519973 0.0024056984 0.0021846343 0.0019378649 0.0011940792 0.0014343467 0.0012099559 0.0020821162 0.027520828 0.064263016 0.0001649282 2.3291099e-05 1.5275331e-05 1.2855477e-05 9.452557e-06 9.225695e-06 1.0586863e-05 8.696352e-06 7.864527e-06 7.562045e-06 7.1083223e-06 5.5202927e-06 6.7302203e-06 1.5502192e-05 1.3460441e-05 0.05556704 0.00038105145 0.00018141346 0.00017566631 0.00016765053 0.00015214835 0.00013233579 0.00023162544 0.0008086095 0.0002026628 0.00013551184 9.301316e-05 9.286191e-05 8.053578e-05 0.00024894252 0.0006644013 0.065380536 0.0008779534 0.00035004708 0.00025756325 0.00032864648 0.0002518161 0.00026724266 0.0003875548 0.0010900688 0.00044979044 0.0003309151 0.00014776236 0.00019948675 0.00016144966 0.00028705524 0.00031775713 0.028918093 0.0003357548 0.00030119627 0.0004880544 0.0002525723 0.00017460762 0.00026890633 0.00071090786 0.00051021116 0.00022572704 0.00022897872 9.951651e-05 0.00010503681 7.4713e-05 0.00021680383 7.637666e-05 0.035369802 0.00028070313 0.00025635332 0.0011460279 0.00048676884 0.00027155303 0.00046052854 0.0018521717 0.0003282684 0.00039700736 0.00031435423 0.00028735772 0.00013838543 0.00011607739 0.00022081172 0.0003535256 0.011247937 0.00028002253 0.00016734806 0.00025022807 0.00033877962 0.00017997668 0.0007954515 0.00079885445 0.00019615945 0.00015479507 0.0001138844 0.00010707856 0.000104658706 0.0001076079 0.00011842162 0.00037099392 0.026118547 0.00047935804 0.00034437553 0.0011644037 0.0004725522 0.0011518507 0.0047781537 0.0035578667 0.0006565368 0.00055301236 0.00021574515 0.00027268735 0.0004740646 0.0003852862 0.000315791 0.0011845944 0.026773572 0.0009975093 0.0013951974 0.0014873786 0.0007059169 0.0010564177 0.00583805 0.0046402975 0.00059120066 0.00033734282 0.0002891726 0.0003095145 0.00063770724 0.0005024979 0.0004637046 0.0013649492 0.015814127 0.00097747 0.0049024737 0.0027601465 0.0012508379 0.0018752359 0.015309738 0.008628142 0.0004581087 0.00043769117 0.00015207272 0.00015978601 0.00030815334 0.00035655042 0.00037802663 0.00043617876 0.010937742 0.0006944226 0.0040280744 0.0015134678 0.0010649628 0.0016644817 0.011152353 0.0067119957 0.00033953582 0.00020213347 0.00028145933 0.00021529142 0.00023306222 0.00039942723 0.00021718194 0.0006107864 0.004075337 0.00033862836 0.0012301179 0.0007470544 0.0006555537 0.00088249065 0.0027395778 0.0016515506 0.00013778046 0.00017755682 0.00019615945 0.0001264374 0.00016674309 0.00046340213 0.00020689756 0.00060768594 0.0054169954 0.0006879949 0.00085322553 0.0006454962 0.00060140947 0.00076444715 0.002040164 0.0012599879 0.0004001078 0.00050711073 0.0003358304 0.00046279715 0.00042959978 0.000610862 0.0005297969 0.0011802084 0.01572845 0.00254425 0.002925831 0.0014863199 0.0053419042 0.0014237819 0.0026039146 0.001533734 0.006627679 0.0011046636 0.00082184304 0.0015678388 0.0026254663 0.002094157 0.0033918796 0.006719406 0.08367713 0.013591339 0.022385696 0.011437668 0.058932304 0.015950017 0.008274088 0.009394177 0.05516852 0.00649799 0.003996919 0.008331332 0.019883944 0.010345634 0.020815134 0.031061025 0.010039522 0.00240042 0.00342054 0.0021473183 0.008976904 0.0032928926 0.0013817368 0.0016788496 0.007787545 0.0011682604 0.0005904445 0.001142625 0.0032906996 0.0018105805 0.0032384458 0.003851274 0.00047580388 0.00033272998 0.0003123881 0.00030195247 0.0003191183 0.0002451615 0.00034067014 0.0002828205 0.00030641406 0.0002609662 0.00030240617 0.00024954748 0.00029938135 0.00027760267 0.0002651253 0.00022890311 43213.0 15.166709 655399.0 0.059192948 0.0016264901 0.0025160245 0.0014311892 0.005990244 0.010788848 0.0008620703 0.0027555733 0.0046048285 0.0037625935 0.00057217054 0.00054012897 0.002937142 0.008101935 0.007134585 0.0070552444 0.008510846 0.006589879 0.00593379 0.0030469988 0.0016112323 0.0017531306 0.0051678442 0.0019942052 0.003550509 0.001361003 0.004925244 0.00059048 0.0013884671 0.0037992124 0.0021513612 0.0002792192 0.002030824 0.024836779 0.0010802579 0.004508704 0.004449198 0.003124814 0.0011824858 0.0027159029 0.011640238 0.00218798 0.00036466337 0.00050961325 0.004443095 0.0014891692 0.0025663755 0.0016905732 0.0026304587 0.0012343626 0.0023771778 0.008188905 0.0065212185 0.011115367 0.008951799 0.007906634 0.0014281376 0.0004226433 0.00028684817 0.009522444 0.0061474005 0.013103468 0.011061964 0.042346723 0.00076594565 0.038756542 0.015010703 0.032960076 0.03128476 0.06627718 0.015698833 0.010720187 0.01389993 0.036376316 0.0015944486 0.0059139547 0.029256986 0.02301041 0.032685433 0.038208786 0.025602724 0.0072902157 0.039990906 0.043219473 0.04935772 0.022662532 0.01512056 0.007093389 0.0074626296 0.006818747 0.0052105663 0.00033109603 0.0018950289 0.00039060175 0.0003844986 0.00015715617 5.6008086 2.0 20.0 0.0 11.0 6613464.0 7434240.0 0.0 0.0 897.0 0.0 1.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -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 -2.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 28.0 4.0 0.0 5.0 2.0 3056640.0 1024.0 4096.0 10.0 1.0 0.0 1.0 6.0 0.0 0.0 -512.0 0.0 0.0 0.0 0.0 0.0 -512.0 0.0 0.0 0.0 0.0 0.0 2788864.0 0.0 0.0 -134144.0 0.0 138240.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -444416.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3056640.0 -38400.0 6656.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -0.76148254 0.0 0.0 0.0 0.0 0.0 -1.0095738 0.0 0.0 0.0 0.0 0.0 3.7466729 0.0 0.0 -4.2811503 0.0 6.265302 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.8303285 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.3272185 -4.8386016 5.9602866 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -104.0 0.0 0.0 0.0 0.0 0.0 -104.0 0.0 0.0 0.0 0.0 0.0 2788504.0 0.0 0.0 -133692.0 0.0 137988.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 802400.0 0.0 0.0 -443960.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3056344.0 -38396.0 6208.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 1.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 -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 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 1.0 -1.0 -1.0 0.0 1.0 1.0 0.0 -1.0 1.0 0.0 1.0 0.0 1.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 -2.0 1.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 1.0 -2.0 0.0 0.0 -1.0 -1.0 -1.0 -1.0 0.0 -2.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 2.0 1.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 1.0 0.0 0.0 -1.0 1.0 0.0 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 -2.0 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 1.0 0.0 0.0 0.0 -1.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 2.0 1.0 0.0 0.0 0.0 1.0 -2.0 0.0 2.0 1.0 0.0 1.0 0.0 -1.0 0.0 0.0 1.0 1.0 0.0 -1.0 0.0 -1.0 1.0 1.0 1.0 -2.0 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 2.0 0.0 -2.0 1.0 -1.0 -1.0 -1.0 -2.0 0.0 0.0 1.0 0.0 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 -2.0 1.0 -1.0 -2.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 1.0 1.0 -1.0 0.0 -2.0 -1.0 -1.0 -1.0 0.0 0.0 1.0 0.0 -1.0 1.0 0.0 0.0 -2.0 -1.0 0.0 -1.0 0.0 -2.0 1.0 0.0 0.0 -1.0 0.0 -2.0 0.0 0.0 -1.0 1.0 0.0 0.0 -1.0 -1.0 1.0 -1.0 0.0 1.0 0.0 1.0 -2.0 -2.0 0.0 -3.0 -1.0 0.0 0.0 -1.0 2.0 0.0 0.0 -1.0 0.0 -1.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 -2.0 1.0 0.0 0.0 1.0 0.0 0.0 1.0 -1.0 0.0 -2.0 1.0 1.0 1.0 0.0 1.0 0.0 -1.0 0.0 -1.0 1.0 0.0 -1.0 1.0 -2.0 0.0 0.0 0.0 1.0 0.0 -2.0 0.0 0.0 0.0 2.0 -1.0 2.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 1.0 1.0 -1.0 -2.0 -2.0 1.0 0.0 0.0 0.0 3.0 0.0 2.0 0.0 -1.0 0.0 0.0 -1.0 2.0 1.0 1.0 2.0 0.0 0.0 0.0 0.0 -1.0 -1.0 -1.0 -1.0 0.0 -3.0 1.0 -1.0 0.0 -1.0 1.0 0.0 -1.0 1.0 0.0 0.0 0.0 -1.0 1.0 0.0 2.0 -1.0 -1.0 0.0 1.0 1.0 0.0 0.0 0.0 2.0 0.0 1.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 1.0 0.0 3.0 -1.0 -1.0 -1.0 0.0 -1.0 -2.0 -2.0 1.0 0.0 0.0 -2.0 1.0 -1.0 1.0 0.0 0.0 1.0 0.0 -2.0 -3.0 0.0 0.0 -1.0 1.0 2.0 0.0 0.0 -1.0 -1.0 1.0 1.0 1.0 1.0 2.0 0.0 -1.0 1.0 0.0 0.0 1.0 0.0 0.0 1.0 2.0 1.0 0.0 0.0 0.0 0.0 -2.0 1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 1.0 1.0 -1.0 1.0 1.0 0.0 0.0 1.0 0.0 0.0 2.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 -3.0 0.0 -1.0 1.0 0.0 -1.0 0.0 1.0 1.0 1.0 0.0 2.0 -1.0 0.0 0.0 1.0 0.0 -1.0 1.0 1.0 1.0 0.0 -1.0 1.0 -1.0 -1.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 1.0 0.0 0.0 -1.0 0.0 -1.0 0.0 1.0 -1.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 -3.0 -1.0 -1.0 -1.0 -1.0 0.0 0.0 0.0 1.0 0.0 1.0 2.0 0.0 0.0 -1.0 1.0 0.0 -1.0 1.0 -1.0 0.0 -2.0 1.0 0.0 0.0 -1.0 1.0 0.0 0.0 1.0 -1.0 2.0 0.0 -2.0 0.0 0.0 2.0 0.0 0.0 -1.0 0.0 0.0 1.0 2.0 0.0 2.0 -2.0 1.0 -1.0 -1.0 1.0 0.0 0.0 -3.0 -1.0 1.0 -2.0 0.0 0.0 -2.0 -1.0 0.0 -2.0 0.0 0.0 0.0 0.0 -2.0 0.0 -1.0 1.0 1.0 -1.0 0.0 -2.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 -1.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 2.0 1.0 0.0 0.0 1.0 -2.0 3.0 -1.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 2.0 -1.0 -1.0 2.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 -1.0 -1.0 0.0 -1.0 0.0 1.0 1.0 -1.0 -1.0 -1.0 0.0 0.0 -1.0 0.0 -1.0 0.0 1.0 0.0 -1.0 0.0 -1.0 0.0 -1.0 0.0 0.0 -1.0 1.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 1.0 2.0 -1.0 2.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 -1.0 -1.0 0.0 1.0 0.0 0.0 1.0 1.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 -1.0 1.0 1.0 0.0 -1.0 0.0 1.0 -1.0 1.0 1.0 1.0 -1.0 1.0 0.0 -1.0 0.0 0.0 0.0 2.0 0.0 1.0 0.0 0.0 1.0 0.0 1.0 -1.0 -1.0 0.0 -1.0 1.0 0.0 1.0 0.0 1.0 1.0 1.0 0.0 1.0 0.0 0.0 1.0 0.0 1.0 3.0 1.0 -1.0 0.0 0.0 1.0 -1.0 -2.0 0.0 1.0 -2.0 -1.0 -2.0 -1.0 -2.0 0.0 2.0 0.0 0.0 -1.0 1.0 2.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 -1.0 0.0 0.0 1.0 0.0 1.0 -1.0 0.0 1.0 -1.0 -1.0 1.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 2.0 -1.0 1.0 0.0 0.0 -2.0 0.0 -1.0 0.0 1.0 0.0 -1.0 -2.0 0.0 1.0 1.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 -3.0 0.0 0.0 -2.0 0.0 -2.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 -1.0 -1.0 1.0 -2.0 -2.0 0.0 0.0 -1.0 2.0 0.0 0.0 2.0 -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 0.0 -5.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 1.0 -2.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 2.0 0.0 -1.0 0.0 1.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 -1.0 -1.0 -1.0 1.0 1.0 1.0 0.0 -1.0 -1.0 -2.0 1.0 0.0 -1.0 0.0 0.0 2.0 0.0 1.0 -2.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 -1.0 -2.0 1.0 1.0 1.0 1.0 0.0 -2.0 -1.0 -1.0 1.0 2.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 -1.0 -3.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 38396.0 7376896.0 6208.0 7426048.0 137988.0 6299648.0 4056.0 6609408.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 40.0 7421984.0 0.0 0.0 0.0 0.0 7416.0 7384932.0 0.0 0.0 0.0 0.0


Input: 0.32019827 0.004668627 0.015346869 0.0022449142 0.013499285 0.0017681182 0.011274237 0.0017283852 0.0019469167 0.0014899872 0.027326366 0.0016290528 0.0013310553 0.0014899872 0.001599253 0.0011721234 0.0014204546 0.0023641132 0.0025031785 0.00235418 0.001321122 0.001877384 0.0016191195 0.005284488 0.0027415766 0.002870709 0.002920375 0.0030097743 0.0029799745 0.0029501747 0.0014403211 0.008095598 0.0035759695 0.0014601875 0.0010727908 0.0014899872 0.0012615225 0.0016687858 0.0024535125 0.0029501747 0.0028806422 0.0015694533 0.0013707883 0.0016191195 0.0013707883 0.0014105213 0.0019866498 0.0017482517 0.0120291645 0.01871424 0.008860458 0.015406469 0.008234663 0.022985537 0.011592101 0.01874404 0.008065797 0.022955738 0.0010926573 0.0014204546 0.0014105213 0.0014303878 0.00097345834 0.00094365864 0.0013509218 0.0015495868 0.0019866498 0.0014105213 0.0014601875 0.0010131913 0.0012615225 0.001281389 0.0012714558 0.0014403211 0.0012019231 0.0026124443 0.001480054 0.0013608551 0.0013310553 0.0012118564 0.0015297203 0.0011224571 0.0014005881 0.001599253 0.00155952 0.0010429911 0.0013310553 0.001321122 0.0014601875 0.0012118564 0.0011919899 0.0011224571 0.0011919899 0.0009833917 0.0013310553 0.0014502543 0.0011423236 0.012386761 0.011453035 0.013995947 0.0116815 0.010658376 0.0083637955 0.0013409886 0.0015793865 0.0030097743 0.0010330578 0.0014403211 0.002681977 0.001758185 0.004549428 0.02418746 0.013568818 0.0012515893 0.014135012 0.007161872 0.008115464 0.0040130327 0.0011820566 0.0011820566 0.0029501747 0.0015893198 0.0013509218 0.011184838 0.0010628576 0.0025429116 0.0014204546 0.0011621901 0.001678719 0.0012118564 0.0011919899 0.0010827241 0.0012913223 0.0010330578 0.0011025906 0.0012217896 0.0011025906 0.0010727908 0.0010827241 0.0009138589 0.00087412586 0.0013906548 0.0009635251 0.00097345834 0.001321122 0.0010727908 0.0011323903 0.0011522569 0.0011224571 0.0010330578 0.001321122 0.0010131913 0.0010231246 0.0009337254 0.0011025906 0.0007449936 0.0008840591 0.0010231246 0.0009833917 0.0009635251 0.00087412586 0.0009635251 0.0011423236 0.00092379213 0.0009833917 0.0009039256 0.0011125238 0.00087412586 0.0012615225 0.0010032582 0.00082445965 0.00095359184 0.0010926573 0.00094365864 0.00095359184 0.0011125238 0.0011025906 0.00085425936 0.0010429911 0.00076486013 0.0007946599 0.00085425936 0.0010529243 0.0008939924 0.0011125238 0.00094365864 0.0011323903 0.0008343929 0.0011721234 0.00087412586 0.0009833917 0.00094365864 0.0012913223 0.00094365864 0.0012019231 0.0010827241 0.0010727908 0.0009635251 0.0012217896 0.00085425936 0.0010727908 0.0011125238 0.0011423236 0.0008443261 0.00097345834 0.0008641926 0.0010628576 0.0009039256 0.0012217896 0.0011125238 0.0009833917 0.0009635251 0.0010032582 0.0010529243 0.0010231246 0.001241656 0.0010926573 0.0008145264 0.00097345834 0.00092379213 0.0010926573 0.0010032582 0.00092379213 0.0010429911 0.0011919899 0.0012515893 0.00094365864 0.0009039256 0.0011423236 0.0008443261 0.0010727908 0.0010330578 0.0010032582 0.00092379213 0.0010529243 0.0009635251 0.00097345834 0.0008343929 0.0009635251 0.0010032582 0.0011423236 0.0008443261 0.0010727908 0.0009337254 0.0011621901 0.00087412586 0.0010231246 0.0010529243 0.00094365864 0.0011125238 0.0010231246 0.0008443261 0.00097345834 0.0011621901 0.0010231246 0.0009138589 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.008572608 2.5169136e-05 0.00010571037 0.00021142075 0.00018121778 9.060889e-05 0.00076514174 0.00028189432 1.0067654e-05 2.0135309e-05 1.0067654e-05 1.0067654e-05 0.0 0.0 1.5101482e-05 1.0067654e-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 0.19557425 0.0047066286 0.005597616 0.11766068 0.00047317977 0.00032719877 0.052679002 0.0041327723 0.0001107442 5.53721e-05 3.523679e-05 3.0202964e-05 2.0135309e-05 5.033827e-06 2.0135309e-05 1.5101482e-05 0.029664345 0.0055019734 0.002068903 0.0019631926 0.00055875484 0.00018121778 0.0046009184 0.006060728 0.00024162371 0.0002768605 8.557506e-05 9.060889e-05 8.0541235e-05 6.0405928e-05 6.0405928e-05 5.0338273e-05 0.099528834 0.019063104 0.0056076837 0.010203568 0.0046009184 0.0030152625 0.023170708 0.025259746 0.0019380235 0.0009060889 0.0005486872 0.00051345036 0.0004782136 0.0004782136 0.00030202963 0.000261759 0.041186776 0.0014145055 0.0016812984 0.009675016 0.0020840045 0.0020638693 0.0119301705 0.01846408 0.0010722053 0.0004983489 0.0005285519 0.00034733408 0.00042787532 0.0005436533 0.00039263853 0.00047317977 0.00875886 0.00036243556 0.00043290915 0.0019128544 0.0003523679 0.0002969958 0.0030756686 0.0035991864 0.00061916077 0.00045807828 0.00012584568 0.00011577803 0.0001308795 0.00017115012 0.00010571037 0.000100676545 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.004716696 0.0003523679 0.0003876047 0.0003674694 0.0003523679 0.00039767235 0.0006292284 0.00044801063 0.00028189432 0.00037753704 0.00034230025 0.00034230025 0.00040774 0.00038257087 0.00019631926 0.00032719877 0.006976885 0.0010319346 0.0007953447 0.0012987275 0.00096649484 0.00080037856 0.0018172116 0.0018826515 0.0005939916 0.00081548 0.00060405926 0.000553721 0.00065439753 0.0005436533 0.0006443299 0.0006392961 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.014900129 0.013037613 0.01300741 0.01313829 0.013359778 0.013304406 0.013299372 0.013848059 0.013082917 0.013077883 0.013364811 0.013087951 0.014024243 0.01395377 0.014069547 0.013938668 374.0 10.5347595 3940.0 0.006598985 0.0015228427 0.0012690355 0.002030457 0.002538071 0.002284264 0.0012690355 0.002284264 0.00076142134 0.0012690355 0.0012690355 0.0010152285 0.004822335 0.0030456854 0.014467005 0.0015228427 0.010406092 0.017766498 0.01142132 0.00964467 0.009390863 0.010152284 0.008883249 0.009390863 0.009137056 0.009137056 0.0012690355 0.0012690355 0.002791878 0.004060914 0.0012690355 0.0015228427 0.002538071 0.012436548 0.013959391 0.009898477 0.004568528 0.002791878 0.002538071 0.002030457 0.0017766497 0.0053299493 0.002791878 0.004060914 0.0053299493 0.0038071065 0.0017766497 0.002030457 0.004822335 0.0015228427 0.006598985 0.011167512 0.008121828 0.002030457 0.0035532995 0.002284264 0.0032994924 0.002030457 0.00076142134 0.0010152285 0.0030456854 0.0017766497 0.0015228427 0.008375634 0.0017766497 0.02639594 0.04365482 0.01928934 0.008883249 0.072081216 0.007106599 0.008375634 0.006852792 0.03756345 0.00076142134 0.0060913707 0.028172588 0.01928934 0.05507614 0.06497462 0.009390863 0.0015228427 0.03324873 0.031725887 0.11345178 0.04746193 0.0038071065 0.002538071 0.023604061 0.014467005 0.002791878 0.0010152285 0.0005076142 0.0002538071 0.0017766497 0.0010152285 5.43729 0.0 0.0 0.0 3.0 100672.0 122880.0 0.0 0.0 1.0 1.0 1.0 0.0 0.0 0.0 1528736900.0 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 96256.0 512.0 4096.0 3.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -512.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -96256.0 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 -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 -5.667157 0.0 3.2086027 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 -95844.0 0.0 840.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 83.0 103944.0 840.0 106496.0 0.0 0.0 0.0 0.0 12.0 114688.0 0.0 0.0 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