Input: 0.013260289 0.0091094645 0.006417906 0.006846937 0.005526881 0.0043006423 0.0037994701 0.0036754722 0.009234253 0.0066590314 0.0046811155 0.004378918 0.005112055 0.0040714587 0.0041722003 0.0042361077 0.009377281 0.0070947963 0.0060351426 0.0041771354 0.0059360913 0.0035280269 0.0041411463 0.0037389162 0.006553982 0.004704236 0.0031918308 0.0026670478 0.0042657712 0.0029965367 0.003669774 0.0032517852 0.0073810443 0.0056298315 0.0055796923 0.0047511575 0.0050821463 0.0045582084 0.0033870433 0.004030999 0.005612464 0.0046025948 0.0033454925 0.0036237247 0.003694012 0.0038248533 0.0033206546 0.003983477 0.005825262 0.0045004627 0.0042449688 0.0033350503 0.0037587374 0.0027199406 0.0027960897 0.0026697742 0.005022056 0.0037184134 0.0032187134 0.003927122 0.004028054 0.002872457 0.0033577068 0.0037050268 0.007431674 0.004572086 0.004982713 0.0039235773 0.0061131455 0.0043103215 0.004077048 0.0038457923 0.005641337 0.00414679 0.0039873756 0.003927803 0.0044634375 0.0033724024 0.0037692888 0.0035907621 0.005746059 0.0035613712 0.0038647137 0.0036256332 0.003628005 0.0036271054 0.003355253 0.0035275363 0.0046530333 0.003414662 0.0035295265 0.0033421936 0.003836359 0.0033211727 0.0036897042 0.0040533827 0.0051590316 0.0033192097 0.004111946 0.003032553 0.0045766663 0.0032875286 0.0032388892 0.002837586 0.0052364077 0.0031965203 0.0025623802 0.0028644686 0.0031022676 0.0023541355 0.0028343687 0.003003462 0.004963574 0.0030616166 0.0035527828 0.0030351703 0.0042277924 0.003954195 0.003051447 0.0034081186 0.004742188 0.003332978 0.0030069244 0.003041632 0.003567233 0.0034567853 0.0039552855 0.0037004463 0.0057053263 0.0037128788 0.003624788 0.003102513 0.005144309 0.003797071 0.0031199895 0.0030838915 0.006293526 0.0053697573 0.0035400777 0.0037212763 0.00402451 0.003131277 0.0031873595 0.0031467357 0.0059529953 0.0051737544 0.0033885702 0.0030029984 0.0038017877 0.0034625654 0.003007579 0.00350946 0.0039767427 0.003278804 0.0026578598 0.0022993616 0.002937346 0.0032211128 0.0027672441 0.0036495712 0.0049583935 0.0030344615 0.0032853202 0.002660477 0.0036449635 0.0030712956 0.0029966186 0.002821091 0.0038524447 0.002684715 0.002770543 0.002725666 0.0031534974 0.002672528 0.002794672 0.0030957516 0.0043828716 0.002879873 0.0032692342 0.002632831 0.003082501 0.0028061229 0.002544713 0.0029357646 0.0040757665 0.0028959042 0.0032523032 0.0029421991 0.0033028238 0.0031849602 0.0031704286 0.0036771353 0.005116772 0.0035245097 0.0040865634 0.0029221599 0.0049562943 0.0034774244 0.0031947482 0.0033911057 0.005738207 0.0033000156 0.0034450889 0.0029080913 0.0033211182 0.0025840825 0.0028110577 0.003429821 0.0047142417 0.003149026 0.0032870106 0.0028175195 0.0029946284 0.0027008282 0.0029093728 0.003053492 0.0037821573 0.00304763 0.0026114013 0.0024052833 0.0029192697 0.0028011336 0.0029067008 0.0031087294 0.0047360533 0.003199492 0.004048284 0.0026133098 0.0039329836 0.0029010572 0.0027966623 0.0030949337 0.006206362 0.005211161 0.0031978562 0.0038460921 0.0032592828 0.0027275472 0.0031591684 0.0033860616 0.004713751 0.003938191 0.003757238 0.003405365 0.0033249352 0.0030589448 0.0032024367 0.0035649973 0.004292654 0.0039683455 0.0033434748 0.0033390308 0.004062516 0.003401875 0.0037008827 0.009516874 0.002097863 0.0 4.0898e-08 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.3993494e-05 0.0003638286 1.3632667e-08 8.1796e-08 1.7722468e-07 0.0 0.0 1.3632667e-08 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.6760927e-05 0.0009077584 2.372084e-06 2.1130634e-06 1.9358388e-06 1.8131448e-06 1.7449814e-06 1.7586141e-06 1.8267774e-06 1.7722467e-06 8.056906e-06 8.752172e-06 8.724907e-06 8.724907e-06 2.4129822e-06 1.7586141e-06 4.3583637e-05 0.00011004289 1.9085735e-07 6.8163337e-07 2.1812268e-07 2.45388e-07 1.9085735e-07 2.5902068e-07 1.7722468e-07 1.2133074e-06 8.452254e-07 1.9085735e-07 6.1347004e-07 1.7722468e-07 1.0497154e-06 1.4995935e-07 5.1272462e-05 5.5280467e-05 5.453067e-08 1.22694e-07 2.5902068e-07 4.226127e-07 2.3175535e-07 2.45388e-07 2.0449001e-07 1.0497154e-06 3.9534734e-07 2.1812268e-07 0.0 3.27184e-07 0.0 0.0 2.4947782e-05 0.0005727629 7.934213e-06 7.211681e-06 9.038458e-06 4.1552372e-05 1.5582138e-05 6.6118437e-06 1.4627853e-05 2.7783377e-05 2.9910072e-05 2.7633418e-05 8.615846e-06 4.962291e-06 3.449065e-06 3.9807387e-06 0.0008935259 0.0004615885 5.7529855e-06 1.0947032e-05 3.541767e-05 1.6263772e-05 5.7666184e-05 1.1410542e-05 1.2092176e-05 1.2841972e-05 2.718354e-05 2.396623e-05 2.1580512e-05 1.4232505e-05 3.2445748e-06 3.694453e-06 0.00084562076 0.0004727809 2.740166e-06 2.126696e-06 0.00018034656 1.8690387e-05 0.00019869613 2.5315863e-05 1.691814e-05 7.5388652e-06 1.4068913e-05 2.3420922e-05 9.242948e-06 2.0244512e-05 1.4723281e-06 2.0040022e-06 0.00095877185 0.0003596434 5.9711083e-06 7.879682e-06 0.00014922318 0.00020800724 0.00018176435 0.00014900505 9.849602e-05 3.464061e-05 3.1559626e-05 1.0456256e-05 2.6774558e-05 6.1210676e-06 3.5853916e-06 4.798699e-06 0.00073229236 0.0006247306 1.849953e-05 7.1898685e-05 0.00029765567 0.0005923803 0.00042863833 0.00055996183 0.00041261993 4.84505e-05 4.7809765e-05 3.4272525e-05 3.1818647e-05 1.8022387e-05 1.44506275e-05 1.6604588e-05 0.0006909445 0.0010756447 5.4394342e-05 9.110712e-05 0.00021790456 0.00016607315 0.00016498254 0.00010051366 0.0001571574 0.00011398273 6.1933206e-05 6.171509e-05 4.1306983e-05 4.6637357e-05 3.904396e-05 4.92003e-05 0.0004899717 0.0014295487 0.00028679043 0.00019269776 0.00027961965 0.00036949982 0.00023554523 0.00017223512 0.00024391568 0.0001519906 0.00012587041 8.115527e-05 7.316653e-05 7.1898685e-05 7.4461626e-05 0.00011595947 0.0006465565 0.005012418 0.00075060106 0.00074750645 0.0006711362 0.0008572903 0.0009836106 0.00096517924 0.0006207363 0.0006857095 0.00056845497 0.0005757757 0.0005577397 0.00044416593 0.0004408123 0.0005937163 0.00076930504 0.004107032 0.00064756535 0.0006524049 0.00079483906 0.00066380185 0.00073253777 0.0008599214 0.0006718451 0.0006837464 0.0006636246 0.000648097 0.0006587032 0.000652105 0.0005540861 0.0006439663 0.0006606118 0.0015552556 0.0014933497 0.0010559183 0.0011018877 0.0011482659 0.0006406127 0.0007502875 0.0008655653 0.0009302523 0.0010429263 0.0005969336 0.0005455248 0.0009683556 0.00057313096 0.00079676125 0.0012628894 0.07626865 0.07205387 0.06956487 0.055960465 0.06807228 0.05713481 0.051113438 0.054941762 0.06100507 0.053465154 0.048130788 0.049052343 0.05595175 0.047497932 0.0560847 0.05647147 186284.0 6.27107 1168200.0 0.019100325 0.0138923125 0.015736176 0.010519603 0.015570108 0.010982708 0.008287964 0.009853621 0.0137134055 0.011327684 0.0074867317 0.008008903 0.008816984 0.009100325 0.007627119 0.0092509845 0.01510101 0.010622325 0.012834275 0.007935285 0.009316898 0.0064817667 0.00711094 0.0064013014 0.012544941 0.010598357 0.007851396 0.007640815 0.012979798 0.00682503 0.008097072 0.014879301 0.025864579 0.013191234 0.012999486 0.011378189 0.017685328 0.011979113 0.012415682 0.010474234 0.014728642 0.010291046 0.009712378 0.008962506 0.011185585 0.008293101 0.0093545625 0.008198082 0.016084574 0.009458996 0.010775552 0.010847458 0.009673857 0.0091619585 0.010599213 0.008810991 0.011608457 0.008314501 0.008875192 0.0073335045 0.008783598 0.007948126 0.008516521 0.011797638 0.012338641 0.010731895 0.010303031 0.008296524 0.01517206 0.011720596 0.007939565 0.0074396506 0.012466188 0.010797809 0.006010101 0.006936312 0.00978086 0.0060760146 0.007819722 0.009193631 0.012585173 0.0070998115 0.013421503 0.01001284 0.0150556415 0.010016264 0.008085088 0.008270844 0.010730183 0.00844804 0.007360897 0.0066264337 0.008507961 0.0076956 0.013394111 0.007867659 6.524391 3.0 29.0 0.0 383.0 36678010.0 92901380.0 0.0 1285.0 1.0 0.0 1.0 0.0 1.0 0.0 1541316500.0 0.0 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 -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 14.0 14.0 5.0 2.0 5.0 2.0 37470720.0 1024.0 4096.0 7.0 0.0 0.0 4.0 6.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 8883200.0 0.0 0.0 0.0 0.0 0.0 0.0 512.0 1221120.0 0.0 0.0 24126464.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 512.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2428928.0 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 7.870419 0.0 0.0 0.0 0.0 0.0 0.0 3.829624 6.975133 0.0 0.0 7.925379 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.271805 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 7.970997 0.0 0.0 1.0210094 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 8884224.0 0.0 0.0 0.0 0.0 0.0 0.0 4096.0 1224704.0 0.0 0.0 63848450.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 12587008.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 6341024.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -6.0 1.0 2.0 1.0 2.0 4.0 5.0 2.0 0.0 5.0 -1.0 -4.0 5.0 -1.0 -4.0 -1.0 3.0 4.0 5.0 -2.0 3.0 -4.0 0.0 6.0 5.0 4.0 1.0 1.0 0.0 4.0 3.0 -2.0 1.0 -6.0 3.0 -4.0 1.0 3.0 -4.0 0.0 2.0 0.0 -1.0 2.0 0.0 -3.0 3.0 -4.0 1.0 -5.0 -2.0 1.0 2.0 0.0 -1.0 -4.0 0.0 -4.0 -2.0 8.0 3.0 0.0 -3.0 -4.0 1.0 -1.0 1.0 -3.0 1.0 0.0 -6.0 -3.0 -4.0 0.0 -2.0 1.0 -1.0 -7.0 -4.0 3.0 -3.0 3.0 1.0 5.0 5.0 7.0 -5.0 -4.0 -8.0 -1.0 3.0 -1.0 3.0 -6.0 -1.0 1.0 4.0 -1.0 3.0 -2.0 -3.0 -3.0 4.0 -1.0 -4.0 2.0 -2.0 2.0 3.0 -3.0 -2.0 0.0 -4.0 -3.0 -2.0 -2.0 -1.0 2.0 3.0 2.0 -3.0 4.0 -3.0 7.0 0.0 2.0 0.0 100248.0 91085624.0 118.0 70197340.0 6341024.0 63852544.0 1220796.0 91676700.0 12664.0 66510336.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 40.0 91085510.0 0.0 0.0 0.0 0.0 0.0 0.0 384.0 57088296.0 0.0 0.0


Input: 0.058490384 0.0041953526 0.0037286854 0.0037292326 0.003929467 0.0035856217 0.0035793302 0.0035946486 0.003912781 0.0035440428 0.0035826126 0.0035434957 0.00376917 0.00352298 0.0034603383 0.0039316555 0.003744551 0.0034628 0.003477298 0.0034132886 0.0035196973 0.003483863 0.0034636208 0.0034266922 0.0034781187 0.0034266922 0.0034483022 0.0034357193 0.003523527 0.0035134058 0.0033793692 0.0035221593 0.0041160244 0.0034857779 0.0035853481 0.003464168 0.0036474427 0.0035216121 0.0035057466 0.0033963288 0.00355772 0.0035451371 0.0035292713 0.0036296623 0.003582339 0.0035935545 0.0035309128 0.003506841 0.0038025423 0.003506841 0.00363103 0.004033961 0.0036622141 0.0036329448 0.0035678411 0.0035478724 0.003683277 0.0037232146 0.0034901546 0.0037207527 0.0035774154 0.0036293888 0.0035145 0.003577689 0.0041707335 0.0043873806 0.0035527963 0.0035101234 0.0036635818 0.0039921086 0.003660573 0.0036143437 0.0036895685 0.0035615498 0.0035475988 0.0035733122 0.0036291152 0.0035899982 0.0035867158 0.003940409 0.003997853 0.003610514 0.0035552583 0.0037987127 0.003616532 0.003759596 0.0036477163 0.0036422454 0.0035651058 0.0037705377 0.0036110613 0.0036504518 0.0035664735 0.0037013309 0.0036244649 0.003554164 0.0036200883 0.0037855827 0.0035281773 0.0036734294 0.003736071 0.0040356023 0.0037620577 0.0035248948 0.0037724525 0.0037212998 0.0038066455 0.0034666297 0.0037273178 0.0035919133 0.0037275911 0.0038329058 0.003704887 0.003470186 0.0037459186 0.0037585017 0.0043999637 0.0041297018 0.0035653794 0.003916884 0.003560182 0.0035196973 0.0034269658 0.0034026203 0.003526536 0.0035273565 0.0036085993 0.003498361 0.0036821829 0.003500823 0.0035514287 0.0042000026 0.0036315771 0.0039237225 0.003581245 0.0034740155 0.0035820655 0.0040342347 0.00352298 0.0052755796 0.0035257153 0.003986364 0.0034187594 0.0034827688 0.0035976577 0.003480307 0.0034822219 0.0034871455 0.0035120382 0.0034950783 0.0035946486 0.00336323 0.0036066845 0.0035604555 0.003464168 0.0034679975 0.0034619796 0.0034633472 0.0034819483 0.0035820655 0.0035448635 0.0035084821 0.0035153206 0.0035656528 0.0035117646 0.003496993 0.0034901546 0.003575774 0.0036039492 0.003633492 0.0033500998 0.00355307 0.003588357 0.0036066845 0.003685739 0.0036731558 0.0038271614 0.0037245823 0.003740995 0.0033897636 0.0037639725 0.00376069 0.0038241525 0.0036551019 0.0037891387 0.003654555 0.003658111 0.0036780797 0.0036611198 0.0034513113 0.0036709674 0.0036879273 0.0042090295 0.0036925776 0.0037440038 0.0040894905 0.0038151254 0.0035965634 0.0035352893 0.0038123901 0.0036821829 0.0035905454 0.00353611 0.0035549847 0.0039453325 0.0035273565 0.0035440428 0.0034242303 0.00362255 0.003648537 0.0036389627 0.003569209 0.0036356803 0.0035672942 0.0036088729 0.0036302095 0.0037232146 0.0034089119 0.0035815185 0.0036572902 0.003615438 0.0035675678 0.003593281 0.003590819 0.0037798383 0.004029858 0.0034102795 0.0036501782 0.0037155552 0.0035612762 0.003513953 0.003583707 0.004618526 0.003826341 0.0036378687 0.003673703 0.0038840587 0.0036572902 0.0036660437 0.0036499046 0.0037568605 0.003439549 0.0035180561 0.0033946875 0.0035369308 0.0033957816 0.003629936 0.0035032846 0.0037152818 0.0034458404 0.003453226 0.0035084821 0.0036985956 0.0035038318 0.0036055904 0.0160267 0.004475387 2.3258003e-06 8.208707e-07 1.3681179e-06 8.208707e-07 1.3681178e-07 1.3681179e-06 0.0 0.0 8.208707e-07 0.0 0.0 0.0 0.0 0.0 0.0 0.0005369862 2.1889884e-06 1.5049296e-06 4.6516006e-06 9.576825e-07 9.576825e-07 2.1889884e-06 8.208707e-07 2.0521768e-06 1.7785532e-06 9.576825e-07 1.5049296e-06 2.0521768e-06 2.7362356e-07 5.472471e-07 9.576825e-07 0.0007743547 2.3258003e-06 2.8730474e-06 1.7511908e-05 1.5049296e-06 2.8730474e-06 3.0098593e-06 3.4202947e-06 5.062036e-06 3.5571063e-06 3.4202947e-06 4.7884123e-06 7.2510243e-06 2.0521768e-06 1.7785532e-06 4.7884123e-06 0.0014206535 7.798271e-06 6.8405893e-06 1.0944943e-05 4.2411652e-06 7.66146e-06 6.977401e-06 7.524648e-06 7.524648e-06 5.1988477e-06 4.377977e-06 9.440013e-06 2.8867285e-05 7.3878364e-06 5.7460948e-06 0.00013995846 0.0022379672 1.2723495e-05 1.0534507e-05 4.309571e-05 1.8195968e-05 9.9872605e-06 2.5173367e-05 1.7101473e-05 3.529744e-05 1.3270743e-05 1.1081755e-05 2.7362357e-05 6.991082e-05 1.381799e-05 1.532292e-05 0.00024106236 0.0024824499 2.2437132e-05 9.713636e-06 3.9949042e-05 9.850448e-06 7.1142126e-06 1.5459731e-05 3.3245262e-05 7.278387e-05 1.4091614e-05 1.0397695e-05 5.144123e-05 0.00010972305 1.2449872e-05 6.6216904e-05 0.0006851534 0.004036221 1.7922344e-05 2.763598e-05 4.1043535e-05 3.6528745e-05 1.983771e-05 7.6888224e-05 0.00015678631 7.004763e-05 3.748643e-05 3.433976e-05 0.00019112606 0.0001696466 2.7088732e-05 0.00020699622 0.00045421513 0.00569739 3.1877145e-05 0.00014187382 0.00016636313 0.00026746702 7.729866e-05 0.0004133084 0.00046652817 7.66146e-05 6.662734e-05 7.2373434e-05 0.00024680846 0.00012230974 3.858092e-05 0.0002658253 0.0005346604 0.005781666 5.2809348e-05 0.00033258944 9.576825e-05 0.00045052118 0.00024119917 0.0007022549 0.0003957965 8.2907936e-05 0.000107397245 0.00012449872 0.00044149163 0.0001521347 9.28952e-05 0.000250776 0.0007821529 0.0062180953 9.5221e-05 0.000601835 0.00033970366 0.00042206436 0.0004053733 0.0006658629 0.00048226153 0.0001312025 0.00016992024 0.00017320372 0.00058432313 0.00027690706 0.00018688489 0.0003042694 0.0009910646 0.009973853 0.0001730669 0.0004494267 0.0010237625 0.0009964003 0.00075903174 0.001005977 0.000643289 0.00034928048 0.0007360474 0.0005854176 0.0005223474 0.0006893946 0.00070293894 0.0009054204 0.0023392078 0.0051937858 0.000262405 0.00037732688 0.0009721845 0.00072647055 0.00019796666 0.0007365946 0.000390324 0.00033984048 0.0003379251 0.000778459 0.00092498446 0.0007981599 0.0011556491 0.0005709156 0.001927678 0.0022799682 0.00010958624 0.00035447933 0.00025583804 0.0002496815 0.00032096045 0.00020193419 0.00021971972 0.0003610463 0.0002868943 0.0009233427 0.0011329383 0.0004970372 0.00060771796 0.0012302116 0.002176265 0.0047678906 0.0006932253 0.0005412274 0.00073686824 0.0013445861 0.0013798836 0.00066340034 0.0011422415 0.0026006552 0.0002901778 0.00024940787 0.00044135482 0.0013761898 0.00049525866 0.0011909466 0.002540595 0.0040307487 0.00069828733 0.000577893 0.0008461809 0.0013584042 0.001468264 0.0008282585 0.0011072177 0.002432103 0.00032000276 0.00032205493 0.00050593 0.0013226963 0.0005751567 0.0012065431 0.0025739768 0.054099757 0.053542797 0.053758137 0.053702727 0.053785775 0.053783722 0.053947486 0.05369069 0.053817376 0.053720105 0.053624064 0.053862114 0.053689733 0.05375499 0.05364787 0.05375759 15758.0 6.3674326 100338.0 0.015936136 0.008511232 0.00929857 0.008511232 0.009099244 0.008341805 0.008919851 0.008999581 0.009198908 0.008680659 0.009059379 0.008700592 0.008580997 0.010065977 0.010335067 0.009657358 0.011052642 0.010504494 0.01005601 0.00997628 0.010006179 0.009846718 0.009647392 0.009268672 0.010384899 0.009836752 0.010454663 0.009507864 0.00951783 0.009687257 0.009747055 0.00951783 0.011202137 0.010155674 0.008860053 0.0102154715 0.0106639555 0.009776954 0.010195539 0.009657358 0.009208874 0.009846718 0.008690625 0.009119177 0.009717156 0.009806853 0.00970719 0.009577627 0.010893181 0.009019514 0.009348403 0.011122406 0.009557695 0.00921884 0.010036078 0.009547729 0.009697223 0.008531164 0.009208874 0.00921884 0.009069346 0.009149076 0.008989615 0.009338436 0.00929857 0.015348123 0.009946382 0.013932907 0.013265164 0.021826228 0.010026112 0.010374933 0.010763619 0.015597281 0.009139109 0.009109211 0.01384321 0.011232036 0.015228528 0.01570691 0.012926309 0.008411569 0.016872969 0.015378023 0.018866232 0.011560924 0.009826786 0.009796887 0.009896549 0.010046044 0.008780323 0.008471367 0.008770356 0.008720525 0.009089278 0.008690625 6.552492 1.0 22.0 0.0 62.0 3655712.0 3670016.0 1.0 0.0 86.0 1.0 1.0 1.0 0.0 0.0 1477992100.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 10.0 0.0 5.0 1.0 5.0 1.0 83456.0 1024.0 4096.0 5.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -16384.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 20992.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -83456.0 0.0 3522560.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.7150393 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4.9390388 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3.1127 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.5834384 0.0 7.862477 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -16224.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 20754.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -13444.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -83149.0 0.0 3522340.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 2.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 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 -1.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 108824.0 3522340.0 131072.0 0.0 0.0 5664.0 3650048.0 4776.0 3653632.0 28.0 90560.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 102968.0 0.0 0.0 356.0 90112.0 0.0 0.0 0.0 0.0


Input: 0.25932717 0.0076132016 0.0054209186 0.003109056 0.0061782524 0.0026307397 0.002351722 0.00259088 0.0055404976 0.00095663266 0.002471301 0.0011160715 0.0044244262 0.0027901786 0.0015146683 0.004823023 0.004384566 0.0019132653 0.0011160715 0.0006776148 0.003268495 0.010004783 0.001036352 0.0006776148 0.003268495 0.0007971939 0.0008370536 0.0013153699 0.0016741072 0.0005978954 0.00019929848 0.0007971939 0.017378826 0.0006377551 0.0013950893 0.00055803574 0.0024314413 0.0033083546 0.000518176 0.0021125637 0.001434949 0.0007573342 0.00027901787 0.0010762117 0.0010762117 0.0047831633 0.0050223214 0.00047831633 0.006098533 0.003109056 0.0016741072 0.0068558673 0.002750319 0.0034677933 0.002989477 0.002351722 0.0021125637 0.00259088 0.0030293367 0.0038663903 0.0031489157 0.0024314413 0.001953125 0.0015146683 0.025071748 0.0024314413 0.0006776148 0.0041852677 0.0015943878 0.008569834 0.0030293367 0.0016741072 0.0016741072 0.0031887756 0.00047831633 0.00047831633 0.0017538265 0.0044244262 0.0018734057 0.0007971939 0.0125159435 0.002750319 0.0019929847 0.007971939 0.0034677933 0.0046237246 0.005500638 0.0053411988 0.0017936862 0.004384566 0.0007174745 0.0017936862 0.0015943878 0.0022720026 0.002750319 0.0035475127 0.0061782524 0.015425702 0.0017139668 0.0072943238 0.009765625 0.022879465 0.0059390943 0.0041055484 0.009446748 0.0125159435 0.0077327807 0.001953125 0.009327169 0.004823023 0.011320153 0.010044643 0.0062978314 0.00047831633 0.014867666 0.011838329 0.020607462 0.013871173 0.002989477 0.002072704 0.0041852677 0.003268495 0.0007174745 0.00011957908 0.0011160715 0.001953125 0.0007573342 0.0005978954 0.003667092 0.001036352 0.00031887754 0.0074139033 0.002351722 0.011360013 0.00055803574 0.00019929848 0.0015146683 0.007015306 0.00055803574 0.021882972 0.0011559312 0.004384566 0.00011957908 7.9719386e-05 0.0007573342 0.00011957908 0.00015943877 0.00019929848 0.0005978954 0.00027901787 0.00011957908 0.00019929848 0.0006377551 0.00011957908 0.00027901787 0.00027901787 0.00039859695 0.00039859695 0.0 3.9859693e-05 0.0007174745 0.0017936862 0.00015943877 0.0012755102 0.0007174745 0.0006377551 0.00019929848 0.00023915817 0.00031887754 0.00027901787 0.0007573342 0.0006776148 0.0011160715 0.00011957908 0.00023915817 7.9719386e-05 0.0008370536 0.00027901787 0.00023915817 0.00011957908 0.00043845663 0.00019929848 0.00023915817 0.0011559312 0.0012356505 0.00043845663 0.00031887754 0.00031887754 0.0006776148 0.00019929848 0.0007174745 0.00035873725 0.009287309 0.0013552296 0.0019929847 0.002869898 0.002471301 0.00043845663 0.0016741072 0.0019132653 0.0011160715 0.0022720026 0.0006776148 0.00039859695 0.011160715 0.00043845663 0.00087691325 0.00031887754 0.0011559312 0.0007971939 0.0011160715 0.00047831633 0.0010762117 0.00015943877 0.00055803574 0.00035873725 0.001833546 0.00027901787 0.00047831633 0.0015943878 0.0011559312 0.00031887754 0.00019929848 0.00027901787 0.001554528 0.00019929848 0.00019929848 0.00015943877 0.0015146683 0.00055803574 0.00055803574 7.9719386e-05 0.0063775512 0.0011957908 0.00023915817 0.004025829 0.004464286 0.00011957908 0.00031887754 0.00011957908 0.0038663903 0.0005978954 0.00047831633 0.0007174745 0.0021524234 0.00055803574 0.00259088 0.000916773 0.004145408 0.0007174745 0.0006776148 0.00043845663 0.0037468113 0.0007971939 0.0017936862 0.027981505 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.029233186 0.00042459238 0.0005519701 0.00040336276 0.0018257473 0.00091287366 0.0046068276 0.0003184443 0.0007430367 0.00040336276 0.00040336276 0.00038213315 0.0010190217 0.00040336276 0.00038213315 0.0014648438 0.02562415 0.00016983696 0.0030570652 0.0016771399 0.0014011549 0.0005944293 0.006623641 0.0034391985 8.491848e-05 4.245924e-05 8.491848e-05 0.00016983696 0.000106148094 2.122962e-05 0.00021229619 0.00016983696 0.07937755 0.0024838655 0.021059783 0.006857167 0.01343835 0.010020381 0.07937755 0.04180112 0.0008704144 0.0006581182 0.0013374661 0.00046705164 0.00091287366 0.00067934784 0.0008704144 0.0006581182 0.027004076 0.0010827106 0.008534307 0.012567935 0.0035665762 0.0028872283 0.015221638 0.009574559 0.00082795514 0.00067934784 0.0007430367 0.0009341033 0.00082795514 0.0007854959 0.0009341033 0.0007854959 0.032757305 0.0017832881 0.0041185464 0.0020592732 0.0060504414 0.005859375 0.011272928 0.00726053 0.0036514946 0.00033967392 0.00084918475 0.000615659 0.0040548574 0.0006368886 0.001613451 0.004033628 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.051163383 0.014308764 0.003630265 0.005689538 0.016389266 0.020359205 0.015794838 0.01343835 0.027577275 0.0007854959 0.0016346807 0.0014223845 0.013756794 0.003460428 0.008046025 0.019934613 0.05184273 0.012950068 0.0034179688 0.010720958 0.02176036 0.025284477 0.014754586 0.014436142 0.033160664 0.0013162364 0.0036514946 0.0034179688 0.020401664 0.0059018345 0.010105299 0.027747113 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 273.0 20.750916 5665.0 0.06725507 0.00052956754 0.004589585 0.0001765225 0.0052956752 0.011120918 0.00052956754 0.008473081 0.00282436 0.0017652251 0.0 0.00052956754 0.0010591351 0.020123566 0.015710503 0.0010591351 0.010767872 0.0077669905 0.00282436 0.0026478376 0.004589585 0.0026478376 0.0060017654 0.0049426304 0.0021182701 0.0035304502 0.010414828 0.0026478376 0.0052956752 0.0049426304 0.0047661075 0.0038834952 0.0022947926 0.0072374227 0.000353045 0.012886143 0.0024713152 0.0052956752 0.0049426304 0.0033539275 0.0026478376 0.012180053 0.000353045 0.0010591351 0.004589585 0.0026478376 0.004060018 0.0017652251 0.014651368 0.0026478376 0.006178288 0.009708738 0.009708738 0.00282436 0.0030008827 0.0060017654 0.0026478376 0.0015887026 0.00141218 0.00088261254 0.0024713152 0.000353045 0.00052956754 0.0072374227 0.00052956754 0.041835833 0.00564872 0.02683142 0.03230362 0.08420124 0.009355693 0.01270962 0.0086496025 0.04571933 0.0019417476 0.0042365403 0.030008826 0.016593115 0.043424536 0.03724625 0.016593115 0.0012356576 0.056663726 0.046072375 0.05984113 0.018534863 0.007943513 0.0054721977 0.010767872 0.012356576 0.00141218 0.000353045 0.000353045 0.0001765225 0.0 0.0001765225 5.4705687 0.0 0.0 0.0 4.0 25088.0 36864.0 1.0 0.0 88.0 1.0 1.0 0.0 0.0 0.0 341012450.0 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 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 10.0 0.0 14.0 15.0 10.0 0.0 10.0 0.0 15872.0 1024.0 4096.0 5.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -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 0.0 0.0 0.0 -512.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -15872.0 -3584.0 2560.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.5822453 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -0.8337726 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.410551 -4.8940196 4.356535 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1120.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1072.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -15756.0 -3570.0 2080.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 -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 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 1.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 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 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 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 -1.0 -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 -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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 400.0 25008.0 2080.0 28672.0 0.0 0.0 0.0 0.0 1120.0 32768.0 84.0 7232.0 0.0 0.0 0.0 0.0 0.0 0.0 164.0 4152.0 0.0 0.0 428.0 24576.0 0.0 0.0 0.0 0.0


Input: 0.056660358 0.00830345 0.00617091 0.005654338 0.0057495777 0.00496178 0.0042008976 0.0054162387 0.0050373506 0.005620176 0.0037495445 0.0044576307 0.004952463 0.0031884585 0.004328229 0.004641899 0.005044597 0.0037588615 0.0049400404 0.0041512074 0.00435825 0.003180177 0.0041066934 0.0038468547 0.0050746184 0.0033437407 0.0031739657 0.0029255142 0.004138785 0.0034534733 0.003790953 0.0037919884 0.0061646984 0.003814763 0.0034886706 0.0030155778 0.0048913853 0.004173982 0.003853066 0.003722629 0.004726786 0.0039006858 0.0033333886 0.003098395 0.0043727434 0.0037102064 0.0037309106 0.0035787341 0.005509408 0.003949341 0.003107712 0.0029017043 0.003684326 0.0030756204 0.002695697 0.002861331 0.00416363 0.0033240716 0.0035269735 0.003340635 0.0040104184 0.003219515 0.0035021284 0.0034534733 0.0065953475 0.003949341 0.0036180723 0.0032246911 0.0041553485 0.0032205503 0.0035362905 0.0030818316 0.0050073294 0.0037826714 0.0037143473 0.0035901216 0.0041315383 0.0031253106 0.0035518187 0.00346072 0.0051626116 0.0036222131 0.003640847 0.0033344238 0.0039255307 0.0033851492 0.003360304 0.0035445723 0.0046450044 0.0036491288 0.003810622 0.0035155863 0.0041066934 0.0033820437 0.0036853612 0.003790953 0.005911071 0.003635671 0.0033437407 0.0029565708 0.0040155943 0.0030518104 0.0032743814 0.0030321414 0.004966956 0.003160508 0.0031925994 0.0030518104 0.003573558 0.0028344155 0.003084937 0.0032008812 0.0044959337 0.003297156 0.0032257263 0.00314705 0.0038851574 0.003326142 0.0032899096 0.0036253189 0.0046191243 0.0033012968 0.0034772833 0.003160508 0.0040404396 0.0031957051 0.0034648606 0.0033437407 0.008645071 0.0045870324 0.004024911 0.0035238678 0.0043696375 0.0034286282 0.0030280005 0.0034048182 0.004540448 0.003830291 0.0029638172 0.0031925994 0.0037236642 0.0027971477 0.0028509789 0.002977275 0.005228865 0.0032029515 0.003485565 0.0030259301 0.0036677625 0.0031770712 0.0033054377 0.0032723108 0.0045487294 0.0028395916 0.0030424935 0.00271019 0.0035155863 0.0032267615 0.0029907327 0.003151191 0.0050073294 0.0034068888 0.0032702405 0.0027940422 0.003771284 0.0030072962 0.0030497399 0.0031874233 0.00413982 0.0030072962 0.003112888 0.0030217892 0.0036429174 0.0028313098 0.0029213734 0.0030393878 0.004666744 0.003112888 0.0038365026 0.002852014 0.0035663117 0.003151191 0.0029886623 0.0031242752 0.0042567994 0.0031460149 0.003336494 0.0031781064 0.0036636218 0.0031863882 0.0033271774 0.003355128 0.0067123263 0.0040549324 0.0037195233 0.0033478816 0.0041180807 0.003248501 0.0033085435 0.0032309024 0.0043354756 0.0033271774 0.0031159937 0.0030828668 0.003644988 0.0029845214 0.0030735498 0.002803359 0.004250588 0.0032733462 0.0030807965 0.0030072962 0.0037039951 0.0030072962 0.002933796 0.0029410424 0.0039814324 0.0030994301 0.0027277884 0.0026470418 0.0035404314 0.0029545003 0.0035911568 0.0028789297 0.00496178 0.0032453954 0.0033903252 0.0029710636 0.0038137278 0.0030714795 0.0031977755 0.0029017043 0.0044421027 0.0054441895 0.0034700367 0.0031429091 0.0037971644 0.0030735498 0.0032495363 0.003199846 0.004614983 0.0033147547 0.0034234521 0.0030497399 0.0037474742 0.003084937 0.0033157899 0.0032350433 0.0043530744 0.0030414583 0.0031863882 0.0028737537 0.0040155943 0.003094254 0.004232989 0.0045135324 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 0.0045806174 0.00029234673 0.00027109458 0.00026746615 0.00030271366 0.0002405122 0.0003275942 0.0003021953 0.00033329602 0.00034832803 0.00033018595 0.00035454816 0.0005183453 0.00015705862 0.00018815933 0.0007396787 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 0.09915375 0.062025715 0.06245905 0.055321954 0.060619444 0.05956202 0.054961186 0.05447135 0.060490895 0.053167712 0.052126355 0.05295882 0.05642603 0.050531927 0.05666136 0.05386074 4027.0 5.703005 22966.0 0.017112253 0.010406688 0.009361665 0.008708525 0.01341113 0.012540277 0.011800053 0.011495254 0.012583819 0.009710006 0.008534355 0.00862144 0.013890099 0.010624401 0.011887138 0.009971262 0.016676826 0.01193068 0.008708525 0.007489332 0.009797092 0.00844727 0.0077941306 0.008316642 0.010319603 0.008403727 0.009666463 0.008839154 0.011495254 0.008969781 0.009579378 0.009187494 0.018026648 0.010885657 0.010406688 0.009143952 0.010842115 0.008882696 0.010711486 0.00844727 0.0142384395 0.011582339 0.009753549 0.008969781 0.011451711 0.009361665 0.011625881 0.009579378 0.014760951 0.009579378 0.009971262 0.008969781 0.012061308 0.009318123 0.009579378 0.009840634 0.013672385 0.009231037 0.010537316 0.009579378 0.011190455 0.009840634 0.010406688 0.010667944 0.018026648 0.010972742 0.009710006 0.008142471 0.013062788 0.0082295565 0.009361665 0.008316642 0.015414091 0.009318123 0.008882696 0.008664983 0.011321084 0.008011844 0.009927719 0.008098929 0.013193416 0.008011844 0.0087520685 0.0087520685 0.011451711 0.00944875 0.008098929 0.007924758 0.010885657 0.008969781 0.012017765 0.008490813 0.011321084 0.008969781 0.010014804 0.008839154 6.5546923 0.0 0.0 0.0 14.0 965984.0 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: 0.22819535 0.003252583 0.0054944768 0.0076051117 0.0061271423 0.004735803 0.05715516 0.008348035 0.0020555065 0.0029165617 0.0061743953 0.0012889575 0.002234018 0.0045546666 0.008539671 0.0017142347 0.004457535 0.000656292 0.0026592952 0.0040217573 0.00124958 0.0010763189 0.008258779 0.0010946951 0.0011471984 0.00086630543 0.0025595387 0.00075079803 0.00089255715 0.0024807837 0.0016984837 0.0009765625 0.0045494162 0.0007061702 0.0020187541 0.0018612441 0.0037251133 0.0014674689 0.0023941533 0.0007665491 0.0014018397 0.0009345598 0.0007717994 0.0011760753 0.0010290658 0.0013703377 0.0013257099 0.0008033014 0.0014070901 0.001157699 0.041543283 0.002388903 0.0014412173 0.0033654654 0.0015068464 0.0009765625 0.0013729628 0.0010973202 0.0013309602 0.002076508 0.0016643566 0.0028614332 0.0014333418 0.0011209467 0.0020213793 0.0029323127 0.0019977528 0.016496556 0.0030635712 0.0026645456 0.0023101477 0.002937563 0.001186576 0.0020843835 0.0010343161 0.0057622436 0.0011970766 0.0014595934 0.0018927462 0.0010448169 0.0047594295 0.003606981 0.0017247354 0.009358724 0.004153016 0.0035518524 0.008329658 0.0036699849 0.0029979418 0.0030661963 0.0018218666 0.0011997018 0.0020948842 0.0022733954 0.0011813256 0.002640919 0.0017982401 0.0037461147 0.0020870087 0.006738806 0.00234165 0.007796749 0.0016223538 0.0031895791 0.0035229754 0.0057911207 0.003139701 0.0012889575 0.010049143 0.0018376176 0.007124706 0.0054761004 0.002827306 0.0014175908 0.011009955 0.015380859 0.0087260585 0.0054498487 0.001811366 0.0014438424 0.0012207031 0.0013939642 0.00095031084 0.004184518 0.00066154235 0.0009030578 0.0012679561 0.0011183216 0.0019321237 0.0007665491 0.0017404864 0.00491694 0.0011655746 0.009807628 0.001624979 0.0014175908 0.0010579427 0.0032237063 0.0010868196 0.009589739 0.0014543431 0.019523375 0.00124958 0.007284841 0.0008400538 0.00056966144 0.0007376722 0.0007245464 0.0007087954 0.0005486601 0.009450605 0.000609039 0.0006431662 0.0005434098 0.0007717994 0.00043840305 0.0005565356 0.0004410282 0.0006142893 0.0005512853 0.0007297967 0.000672043 0.0010789441 0.00068516884 0.0006956695 0.0011944515 0.00083480345 0.0008453041 0.0007087954 0.0010526924 0.0008846816 0.00047253023 0.0008033014 0.0008846816 0.0014333418 0.0008321783 0.0006510417 0.0010185651 0.0009319346 0.0011235719 0.00062479 0.00058016216 0.00089255715 0.0006825437 0.00085055444 0.00075079803 0.0011603243 0.0007534232 0.00076917425 0.00048828125 0.0018901209 0.00067729334 0.0024282804 0.0032473328 0.0025647893 0.001296833 0.00444966 0.0011471984 0.004948442 0.003638483 0.00093718496 0.00080067624 0.0012233283 0.00048565608 0.0014254663 0.0005670363 0.0015856015 0.0034153436 0.0008400538 0.00069829467 0.0014333418 0.00068516884 0.001404465 0.0006510417 0.0017011089 0.0013467112 0.00087155576 0.0005197833 0.0017562374 0.00070354505 0.0008978075 0.0006221648 0.0016906082 0.0009109333 0.0008846816 0.00058016216 0.0014937206 0.00069041917 0.0018664944 0.0010631931 0.0022943967 0.0014569683 0.002514911 0.0009949387 0.005111202 0.0011235719 0.0013860887 0.0032735844 0.013963269 0.001735236 0.0011629495 0.0014543431 0.0038458712 0.00086630543 0.0010868196 0.00080067624 0.0032394573 0.000984438 0.00359123 0.03726951 0.007854503 0.0015672253 0.0030215683 0.0014779696 0.006972446 0.0071142055 0.013477089 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.14338623 0.00061857735 0.0018307257 0.0005751453 0.00078835705 0.0008212601 0.0043208282 0.0025058961 0.00024216644 0.00021321175 8.028344e-05 6.317385e-05 7.6335076e-05 8.554793e-05 0.00010923812 0.0006172612 0.0047327746 3.0270805e-05 9.60769e-05 6.58061e-06 6.843834e-05 3.8167538e-05 0.00021057951 9.60769e-05 6.58061e-06 2.3690196e-05 9.212854e-06 7.896731e-06 1.7109585e-05 3.9483657e-06 2.2374074e-05 2.1057951e-05 0.0022926845 1.05289755e-05 3.8167538e-05 1.4477341e-05 2.3690196e-05 1.8425708e-05 9.344466e-05 5.3961e-05 3.9483657e-06 1.05289755e-05 6.58061e-06 2.2374074e-05 1.7109585e-05 1.1845098e-05 4.2115902e-05 3.5535293e-05 0.010440796 0.0003290305 0.00026585665 4.079978e-05 0.0002211085 0.00018162483 0.00081336335 0.00042115903 0.00015793464 0.00010265751 7.2386705e-05 5.1328756e-05 4.3432025e-05 0.0001974183 4.2115902e-05 9.60769e-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 0.013819281 0.00041326229 0.0007080736 0.00067780283 0.0021966076 0.000992356 0.0027349014 0.0014016699 0.0003066564 0.0002329536 8.9496294e-05 0.000117134856 0.00011581873 9.870915e-05 0.00012897995 0.00022505685 0.009369472 3.8167538e-05 0.00049486186 0.00011055425 0.003862818 0.0019833958 0.012376811 0.006164715 3.1586926e-05 2.632244e-05 3.2903048e-05 4.3432025e-05 4.079978e-05 7.6335076e-05 0.00030270804 8.554793e-05 0.008774585 0.00032639824 0.0016662104 0.0007686152 0.000917337 0.0005869904 0.0023400648 0.001392457 0.0004790684 5.264488e-05 7.896732e-05 7.896732e-05 0.00028033397 0.00033824335 0.00023032134 0.0005567196 0.009787999 0.00040668168 0.0006343708 0.0011226521 0.0018465191 0.00092128536 0.0027217402 0.0014740566 0.0005369778 0.00043695248 0.00022242461 0.00026454052 0.00033692722 0.00096603355 0.0011094909 0.0014701083 0.0031665894 0.00032113376 0.00033692722 0.0013213864 0.0002211085 0.00023032134 0.0004922296 0.0003053403 0.0003053403 0.00017241198 0.00018952157 0.00018952157 0.00018425708 0.00020794728 0.00019873441 0.00024348256 0.0033113628 0.00021716012 0.00014477341 0.0002829662 0.0004014172 0.000377727 0.0007238671 0.0005080231 0.000496178 0.00021979237 7.6335076e-05 0.0001197671 0.00019346992 0.00013687668 0.00019346992 0.0006830673 0.004735407 0.0008383697 0.00062515796 0.0009976204 0.0009199692 0.0007199187 0.0008989113 0.0016556814 0.0014859017 0.0004935457 0.00064358365 0.0007264993 0.0006291063 0.00038693985 0.0008120473 0.002299265 0.118794486 0.030561669 0.018867925 0.05962296 0.03775559 0.048570164 0.038937468 0.042905577 0.062627666 0.016239628 0.011950388 0.0117819235 0.031564552 0.013824545 0.03646316 0.07451882 0.0028612493 0.00080151827 0.0005948871 0.0013832442 0.000971298 0.0011226521 0.0010199945 0.0010147301 0.001338496 0.0005527712 0.00038562375 0.00040931394 0.00073834445 0.00043958475 0.0008699566 0.0016688426 2387.0 9.227901 22027.0 0.023334999 0.0012257684 0.0050846688 0.0027239297 0.0042220913 0.0024969357 0.0035865074 0.0011803695 0.0018159532 0.0014527625 0.0014073637 0.0016343578 0.0014527625 0.00426749 0.003404912 0.002406138 0.0041312934 0.0036319064 0.058201298 0.0055386573 0.0045852815 0.0059926454 0.003995097 0.0020429473 0.0034957097 0.0027239297 0.0030417214 0.003949698 0.0046306807 0.0055386573 0.0033595134 0.0019975484 0.003404912 0.021428248 0.0049030734 0.030689608 0.024560766 0.0075362055 0.0076270034 0.01865892 0.0029963227 0.016797567 0.0017705543 0.008262587 0.005493258 0.0062196394 0.0116221 0.0039042993 0.021382848 0.005493258 0.0070368187 0.02242702 0.010941118 0.006355836 0.016207382 0.01007854 0.0125754755 0.0043128887 0.0027693287 0.0014981613 0.0030871204 0.0032233167 0.0021791437 0.004766877 0.0022245427 0.029690834 0.0059926454 0.02133745 0.01584419 0.06478413 0.005493258 0.013347256 0.009352159 0.031461388 0.004766877 0.003949698 0.03377673 0.013029464 0.032233167 0.03209697 0.012893267 0.0024515367 0.03831661 0.03690925 0.04884914 0.01434603 0.0052208654 0.0049030734 0.0067190267 0.006809824 0.0019521497 0.006355836 0.0010895719 0.0012257684 0.001588959 0.0022245427 5.818364 0.0 0.0 0.0 4.0 380928.0 385024.0 0.0 0.0 60.0 1.0 1.0 0.0 0.0 0.0 1204725500.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 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 8.0 0.0 4.0 0.0 4.0 0.0 28672.0 4096.0 4096.0 5.0 0.0 0.0 1.0 1.0 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 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 -4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -28672.0 0.0 331776.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.5749536 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.544849 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0884807 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.6508813 0.0 6.1878443 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3210.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 6770.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6300.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -25588.0 0.0 330208.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 38148.0 330208.0 49152.0 0.0 0.0 0.0 0.0 1800.0 380928.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 37400.0 0.0 0.0 244.0 32768.0 0.0 0.0 0.0 0.0


Input: 0.13973305 0.016846118 0.010652927 0.011951027 0.005808274 0.005922422 0.004130564 0.0035253144 0.00646927 0.0031961433 0.0035571696 0.0031881796 0.0031085415 0.0040748175 0.002535147 0.010549397 0.0063869776 0.0026599134 0.002025463 0.0024209989 0.0023280878 0.003896959 0.0022776504 0.00201219 0.0035571696 0.0023997622 0.0019431702 0.0020493544 0.0025484199 0.0021688116 0.0020068807 0.002205976 0.007488638 0.002052009 0.0019564433 0.0021449202 0.0124076195 0.0019219334 0.0016856736 0.0018502591 0.0034430216 0.0018555683 0.001871496 0.0026784956 0.0019006965 0.0033421465 0.0023413608 0.0018821143 0.005853402 0.002508601 0.002139611 0.0050198566 0.0025006372 0.0017812394 0.0018422953 0.001871496 0.0035438966 0.002535147 0.0016962921 0.0056251064 0.0022033216 0.002306851 0.002306851 0.0033102913 0.0070161186 0.010108733 0.002601512 0.0034748768 0.007929303 0.005452557 0.0020068807 0.0022484497 0.03770865 0.0067639314 0.0017706209 0.00238118 0.007889483 0.003742992 0.0020838643 0.001990953 0.0038889952 0.00181044 0.0018661867 0.0029067916 0.0030103212 0.002904137 0.00231216 0.0027660974 0.0028191896 0.0017679663 0.0016272723 0.0020944828 0.0036235347 0.0020466999 0.0021024465 0.0030262487 0.0027952981 0.0032014525 0.0020228084 0.003318255 0.0032359625 0.0045101726 0.0060445336 0.0021157195 0.0029758113 0.003567788 0.001709565 0.0018210585 0.003318255 0.0024209989 0.0031403967 0.0038518307 0.0038279393 0.0017016013 0.004284531 0.004204893 0.011441343 0.0056781983 0.0023041964 0.0023387063 0.0028510448 0.0022484497 0.0019750255 0.00197768 0.002482055 0.0018661867 0.0019936077 0.0018635321 0.0035624788 0.0027050416 0.0027607884 0.010358266 0.004042962 0.008460224 0.0020042262 0.0017706209 0.0028271533 0.011722732 0.0021555386 0.023387063 0.002113065 0.01012997 0.0015874533 0.0016485092 0.004072163 0.001757348 0.0016617822 0.0017414204 0.0018024762 0.0020493544 0.0015635618 0.0017042558 0.0021157195 0.0014361409 0.0015741802 0.0013963218 0.0017387657 0.0016458546 0.0014759599 0.0017865486 0.002495328 0.0019166241 0.0018316768 0.0018263677 0.0017042558 0.001656473 0.0016325816 0.0017998216 0.00231216 0.001629927 0.0014334862 0.0016378907 0.0016936375 0.0016617822 0.0016139994 0.0018237131 0.0023095056 0.0017148743 0.0015263974 0.0015317065 0.0017626572 0.0017892031 0.0021635024 0.0030156304 0.0031165052 0.0022484497 0.002930683 0.0018555683 0.0019060058 0.0019298972 0.0017334565 0.0017626572 0.007496602 0.004441153 0.0026068212 0.004881817 0.0038385575 0.0020599728 0.0025563838 0.0041411826 0.0039872155 0.0038412123 0.0022298675 0.0026041667 0.010039713 0.00197768 0.0025165647 0.0024501996 0.0030023572 0.0023864892 0.0025908935 0.0021343017 0.0017175289 0.0015901079 0.0017414204 0.0018555683 0.0030209394 0.0023015419 0.001757348 0.0023705615 0.0016458546 0.0017201835 0.0017414204 0.0018927328 0.0031934888 0.0019352065 0.0016644368 0.0017626572 0.0018768051 0.001629927 0.0018476045 0.0018210585 0.008985835 0.0033686927 0.0019723708 0.004507518 0.0033315283 0.0016750552 0.0016007263 0.0018476045 0.0033846202 0.0018237131 0.0022511042 0.0017998216 0.0020201537 0.0017520387 0.0034164756 0.0022511042 0.00345364 0.0024714365 0.002091828 0.0020705913 0.0017865486 0.0021714661 0.0033925842 0.01814422 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.009029201 0.00021345628 0.00018810834 9.4721225e-05 0.00050028815 0.00021612449 9.205302e-05 7.20415e-05 3.868895e-05 4.4025357e-05 8.404841e-05 3.735485e-05 3.4686647e-05 5.202997e-05 3.602075e-05 0.00019611296 0.012832725 0.00034019595 0.00033485953 0.00013474427 0.0008204726 0.00015742402 0.000589673 0.0003602075 8.0046106e-05 0.00012006916 0.00011339865 9.338713e-05 9.4721225e-05 0.00010539404 6.136868e-05 0.0001547558 0.017643496 0.00023747011 0.00078712 0.00012540557 0.0012673967 0.00039356 0.0013807954 0.0009752284 0.00017476734 0.0006256937 0.0002214609 0.00011073045 9.872353e-05 9.872353e-05 0.00023880422 0.00021078809 0.00904521 0.00020545167 0.0005202997 0.00024414062 0.00039222592 0.000222795 0.0015448899 0.00087650487 9.0718924e-05 0.00012273736 7.070739e-05 5.870048e-05 7.070739e-05 5.870048e-05 3.735485e-05 0.00010005763 0.0082647605 0.0003815531 0.0003041752 0.00028016136 0.000655044 0.00057900016 0.0015488921 0.00078978826 0.0001494194 8.8050714e-05 0.00011339865 8.6716616e-05 7.3375595e-05 5.202997e-05 0.00010539404 0.00018944245 0.017439378 0.0018530673 0.0010792883 0.00128474 0.0015395534 0.0015222101 0.0045572915 0.0029643741 0.00046693563 0.00032818902 0.00040690103 0.0002841637 0.00042024205 0.00027082267 0.00055365224 0.0005483158 0.017207244 0.0010552745 0.0009592192 0.00094587816 0.00095388276 0.0010539404 0.0031524824 0.002029169 0.0007377583 0.0010846248 0.0007671085 0.00048294483 0.000510961 0.0005483158 0.0005056246 0.00079245644 0.011103729 0.0006083504 0.00080046104 0.00078445184 0.0007697767 0.0005816684 0.001480853 0.0008938482 0.0007537675 0.0006750555 0.00050028815 0.00054698176 0.0007484311 0.0005883389 0.00048561304 0.0005363089 0.018641405 0.0016369428 0.0026561967 0.0020385075 0.008207394 0.001298081 0.0010152515 0.001861072 0.008619632 0.001455505 0.0017636826 0.0015969198 0.0037128052 0.0011326524 0.001795701 0.0026775422 0.07591039 0.012360453 0.01821716 0.012946123 0.059686378 0.011025017 0.008119344 0.015791763 0.05091466 0.003619418 0.0033205794 0.008119344 0.030445537 0.0076764217 0.014944608 0.02209406 0.016827026 0.0039129206 0.004904158 0.0061542117 0.011071711 0.0037461577 0.005527184 0.0055231815 0.009417424 0.0013647861 0.0018637402 0.0019891458 0.005661928 0.0027856044 0.0037941854 0.005620571 0.020803982 0.020063557 0.02008757 0.021857923 0.019573942 0.019752711 0.020778636 0.020856014 0.020048881 0.020011527 0.01947922 0.019914137 0.019964833 0.020100912 0.020547835 0.021294933 1823.0 9.976413 18187.0 0.028811788 0.003189091 0.0041238246 0.0029141696 0.020234233 0.0028042009 0.0030791224 0.0021443889 0.004178809 0.0024193104 0.0019794358 0.0034090285 0.003024138 0.006213229 0.013691098 0.009237368 0.021278936 0.013636114 0.008027712 0.008577555 0.005498433 0.004178809 0.004178809 0.0047286525 0.008302634 0.0069280257 0.004013856 0.008687524 0.0062682135 0.00368395 0.0053884643 0.003848903 0.009182383 0.04228295 0.0024742947 0.014185957 0.010007148 0.008467587 0.005058558 0.005003574 0.020344201 0.008357618 0.0023643263 0.0036289657 0.008962446 0.008687524 0.005663386 0.0037939188 0.010611976 0.0029691537 0.0069830096 0.012646396 0.01231649 0.011161819 0.016605267 0.016825205 0.0041238246 0.003189091 0.0042887777 0.0031341068 0.008137681 0.0071479627 0.009842195 0.01600044 0.0034090285 0.025732666 0.0072579314 0.022048716 0.02045417 0.042008027 0.017924892 0.00863254 0.00901743 0.031011162 0.0026392478 0.0037389344 0.018254798 0.015065706 0.022323638 0.0403585 0.013911035 0.002529279 0.035134986 0.027107274 0.045911916 0.013306208 0.0049485895 0.005828339 0.006488151 0.0054434487 0.0032990598 0.003024138 0.0037389344 0.0018144829 0.0019244516 0.0025842634 6.0738716 2.0 20.0 0.0 7.0 376704.0 385024.0 1.0 0.0 121.0 1.0 1.0 1.0 0.0 0.0 1541470000.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 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 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 10.0 0.0 14.0 13.0 10.0 0.0 6.0 0.0 173056.0 1024.0 4096.0 6.0 0.0 0.0 1.0 1.0 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 55808.0 0.0 0.0 0.0 0.0 9216.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3584.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -173056.0 0.0 116736.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.35198 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.0257072 0.0 0.0 0.0 0.0 5.4312973 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.8524575 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.4477334 0.0 7.984645 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1524.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 55482.0 0.0 0.0 0.0 0.0 8760.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -8904.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -172667.0 0.0 116724.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 -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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 -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 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 1.0 0.0 1.0 0.0 0.0 0.0 2.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 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 1.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 100.0 232252.0 116724.0 262144.0 8760.0 249856.0 15744.0 360960.0 1524.0 380928.0 84.0 216784.0 0.0 0.0 0.0 0.0 0.0 0.0 264.0 189216.0 0.0 0.0 1000.0 189480.0 0.0 0.0 0.0 0.0