Input: 0.08845759 0.18430871 0.14116904 0.09786261 0.10650264 0.08436374 0.08183114 0.000815018 0.0012423293 0.00074206246 0.0007295558 0.0007358091 0.0008754669 0.00075248466 0.00065868464 0.0015695872 0.0017696938 0.00075873797 0.0007337247 0.00076082244 0.00095259136 0.00081710244 0.00081710244 0.00080459577 0.0008421158 0.00084003137 0.0012464981 0.00090464915 0.001175627 0.0006982891 0.0007358091 0.0010318003 0.0012194003 0.001100587 0.000777498 0.0024492228 0.0024846585 0.00081710244 0.00070037355 0.00075248466 0.0007545691 0.0007253869 0.0010255469 0.00064617797 0.0010151247 0.0006482624 0.00076707575 0.0006420091 0.00079834246 0.0007900047 0.00081710244 0.0007233024 0.0007733291 0.0007170491 0.0006816135 0.000833778 0.00075873797 0.000739978 0.00076082244 0.00069620466 0.0008316936 0.0010568136 0.00076707575 0.00070871133 0.0032892544 0.0010297159 0.00065868464 0.0006482624 0.0013152849 0.0015633338 0.00070662686 0.0008358625 0.00071079575 0.00076082244 0.0011547826 0.0006753602 0.0010172091 0.00081710244 0.0006941202 0.00080459577 0.0007170491 0.0007879202 0.0014820404 0.00076290686 0.001386156 0.00080251135 0.00074831577 0.0007253869 0.00074206246 0.0014320137 0.0014174227 0.0007691602 0.00079417357 0.0007691602 0.0007128802 0.00080251135 0.00081084913 0.000796258 0.0006670224 0.0006524313 0.0011610358 0.00089839584 0.000815018 0.000796258 0.0008379469 0.0008650447 0.001179796 0.00071913353 0.0009442536 0.00084420026 0.00075665355 0.00077124464 0.0007441469 0.0007733291 0.0011360225 0.0006482624 0.0008879736 0.000796258 0.0007274713 0.00081293355 0.0015299827 0.0011235159 0.00061074237 0.00065451575 0.00077541353 0.0008838047 0.0006357557 0.00066910684 0.00086296024 0.00084420026 0.00070871133 0.0010359692 0.0009317469 0.0007233024 0.0010568136 0.00073789357 0.0008650447 0.002023996 0.000833778 0.0016404582 0.0014757871 0.0012027248 0.00074623135 0.0006982891 0.00074206246 0.00071913353 0.00081293355 0.00075248466 0.0011985559 0.0010672358 0.00064617797 0.0010088714 0.00079834246 0.0007733291 0.0007879202 0.00066910684 0.0011589514 0.0007900047 0.0007274713 0.00076707575 0.0007545691 0.0007358091 0.0007170491 0.0007795824 0.0008191869 0.0010943336 0.000988027 0.00075248466 0.00067327573 0.00071496464 0.00065660017 0.00082127133 0.0011110092 0.0006357557 0.00066910684 0.00070454244 0.0006711913 0.00074831577 0.00067327573 0.0005836446 0.00075040024 0.0007128802 0.0006482624 0.0006878669 0.00075248466 0.0007295558 0.0006420091 0.0005919824 0.00080668024 0.0006440935 0.00076290686 0.00061908015 0.0007274713 0.0007128802 0.0010922492 0.00070454244 0.00077124464 0.0006420091 0.000721218 0.00090881804 0.0010964181 0.000721218 0.00066910684 0.00069203577 0.00086296024 0.0007879202 0.00079417357 0.0006878669 0.00081084913 0.0007858358 0.0007337247 0.00075248466 0.00085045357 0.0010318003 0.0010797426 0.00081084913 0.0006857824 0.0007691602 0.00075665355 0.000739978 0.0011485292 0.0010109559 0.00070245797 0.00080251135 0.0007274713 0.000833778 0.000796258 0.0006774446 0.0008462847 0.0008296091 0.0006941202 0.000721218 0.00079417357 0.000833778 0.0006857824 0.0008254402 0.0011443603 0.0007920891 0.0009734358 0.00070662686 0.00084420026 0.00080668024 0.0014361826 0.00064617797 0.0008462847 0.0006482624 0.00071913353 0.00069620466 0.0008254402 0.0006336713 0.00075665355 0.00070245797 0.0007337247 0.0006524313 0.0006795291 0.0010234625 0.6530265 9.4101315e-06 6.2734207e-06 5.2278506e-06 7.318991e-06 2.0911402e-06 5.2278506e-06 7.318991e-06 5.2278506e-06 3.1367103e-06 7.318991e-06 4.1822805e-06 3.1367103e-06 4.1822805e-06 4.1822805e-06 4.1822805e-06 0.0020378162 1.6729122e-05 4.1822805e-06 9.4101315e-06 3.1367103e-06 9.4101315e-06 7.318991e-06 1.0455701e-06 9.4101315e-06 7.318991e-06 7.318991e-06 2.0911402e-06 6.2734207e-06 6.2734207e-06 9.4101315e-06 4.1822805e-06 0.015842479 0.0001014203 8.260004e-05 8.155447e-05 9.619245e-05 9.828359e-05 7.528105e-05 8.573675e-05 7.737219e-05 8.887346e-05 8.887346e-05 5.5415218e-05 8.469118e-05 0.00010455701 9.2010174e-05 7.528105e-05 0.005710904 5.3324078e-05 5.9597496e-05 2.9275963e-05 4.1822805e-05 5.2278505e-05 4.2868374e-05 3.1367104e-05 5.5415218e-05 6.377978e-05 5.6460787e-05 2.5093683e-05 5.5415218e-05 5.8551926e-05 5.5415218e-05 3.2412674e-05 0.009182197 9.619245e-05 0.0001014203 8.05089e-05 9.514688e-05 0.00011814942 9.0964604e-05 8.155447e-05 0.000106648156 0.00012337728 0.00012337728 7.632662e-05 0.00010351144 0.00011814942 0.000107693726 0.0001014203 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.008232819 0.00017042793 0.00016520008 0.00015683552 0.00015160767 0.00015788109 0.00019447604 0.00015160767 0.00016729122 0.00016415451 0.00018402035 0.00014533424 0.00017565578 0.0001746102 0.0001610178 0.00015369881 0.016763626 0.000775813 0.0004590053 0.00036908625 0.00080299785 0.00038058753 0.00038058753 0.0005635623 0.00049141794 0.00035758497 0.0003669951 0.00032621788 0.0003784964 0.00036594956 0.00040045337 0.00037222297 0.018397853 0.0015976311 0.00040463565 0.00041927362 0.0016373629 0.0004161369 0.0006074762 0.0010382511 0.00047677997 0.0004234559 0.0003920888 0.00038999764 0.00040463565 0.00038686095 0.00043495718 0.00040986348 0.016390357 0.0006806661 0.002318029 0.0005541522 0.0020325882 0.0013707425 0.0009347397 0.00094310427 0.0007517649 0.00064198003 0.00058133696 0.000469461 0.0005708813 0.0006158408 0.0005217395 0.00060120283 0.0051055187 0.00021538745 0.00021643302 0.0002478001 0.00024466342 0.0002206153 0.00022584315 0.00022793429 0.00023211657 0.00021538745 0.00023943555 0.00022270644 0.00024257226 0.0002478001 0.00023211657 0.00022897986 0.005433828 0.00030844318 0.00044750402 0.00033771916 0.00038581537 0.00034608372 0.00034712927 0.00032726346 0.0005353319 0.00031053432 0.00029694193 0.00031785332 0.00030321535 0.00033876472 0.0003324913 0.00033771916 0.010621947 0.0009661068 0.00085213967 0.0008113624 0.00081763585 0.00091069157 0.0008092713 0.0007841776 0.00096715236 0.0009796992 0.0008782789 0.000685894 0.0008291371 0.00094310427 0.00089187134 0.00080613454 0.00758352 0.0009138283 0.0019646264 0.00076535734 0.001490983 0.0012714133 0.00083854725 0.00082390924 0.0020900946 0.00082390924 0.00076744845 0.00050919264 0.0009577422 0.00091278274 0.0008960536 0.0009451954 0.00703355 0.0013289197 0.0018611149 0.001296507 0.0016070413 0.0014470691 0.0012505018 0.0012557297 0.0021685124 0.0011626739 0.0011720841 0.0011156233 0.0013090539 0.0011637196 0.0012808234 0.0013843349 0.011389395 0.0076870318 0.007590839 0.007289715 0.007203978 0.00804148 0.0074538696 0.007036687 0.008239092 0.008087485 0.0074977833 0.0067094234 0.0071935225 0.008066573 0.0074956925 0.007214434 801.0 6.399501 5126.0 0.006827936 0.042333204 0.004877097 0.16250488 0.005462349 0.0060476004 0.0031213423 0.0037065938 0.004096762 0.0046820133 0.004877097 0.003316426 0.005072181 0.0042918455 0.0070230197 0.0039016777 0.0056574326 0.0046820133 0.0060476004 0.005072181 0.004486929 0.0025360906 0.004096762 0.006437768 0.0031213423 0.0056574326 0.005072181 0.004486929 0.0042918455 0.004877097 0.0042918455 0.005072181 0.07686305 0.0060476004 0.0042918455 0.0042918455 0.0070230197 0.044479124 0.004877097 0.0056574326 0.003316426 0.0056574326 0.04818572 0.0035115099 0.004486929 0.0039016777 0.004486929 0.005072181 0.005462349 0.006827936 0.08427624 0.005267265 0.0056574326 0.0037065938 0.0046820133 0.0035115099 0.0046820133 0.0042918455 0.0062426846 0.003316426 0.0046820133 0.005267265 0.0035115099 0.0046820133 0.0056574326 0.0078033553 0.004486929 0.006632852 0.008778775 0.010144362 0.004486929 0.006437768 0.008193524 0.006437768 0.04408896 0.006437768 0.0070230197 0.005462349 0.005462349 0.004877097 0.003316426 0.005462349 0.04623488 0.0042918455 0.008778775 0.004486929 0.005462349 0.0060476004 0.0056574326 0.004096762 0.0037065938 0.0062426846 0.0023410066 0.005267265 0.004486929 0.005462349 5.427305 0.0 0.0 0.0 5.0 479744.0 499712.0 0.0 0.0 12.0 0.0 1.0 0.0 0.0 0.0 1541286000.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 12.0 0.0 5.0 0.0 5.0 0.0 462336.0 1024.0 4096.0 4.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -14848.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -462336.0 -512.0 1024.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3.2056274 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.5618095 -4.533291 3.168908 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -20616.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -462158.0 -508.0 720.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 4217.0 491588.0 720.0 495616.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 68.0 491520.0 0.0 0.0 0.0 0.0


Input: 0.16603993 0.012299127 0.006814181 0.0048140637 0.011311028 0.0035093175 0.0029944808 0.0027120041 0.012573061 0.0013389168 0.0014135225 0.0018651435 0.008872388 0.00164873 0.0016584116 0.011547944 0.007609216 0.0012403916 0.0007807975 0.0007853536 0.004565188 0.0014790162 0.0008457216 0.00071985996 0.003114078 0.0006555054 0.00073011115 0.00066290906 0.002417568 0.00054331205 0.00056552293 0.001202804 0.004564049 0.0010826376 0.00071985996 0.0009522199 0.0066905976 0.0013713789 0.0008878653 0.0005951374 0.0015969046 0.00058659475 0.00070334424 0.0020895302 0.0013132889 0.0022808856 0.0013286656 0.00059058133 0.0059707374 0.005601126 0.004591955 0.009599652 0.005230375 0.004454703 0.0044045863 0.0042513884 0.0054097706 0.0053784475 0.00088387873 0.004070854 0.0012831049 0.00089299085 0.0006372811 0.0011008618 0.0030075796 0.0054923496 0.0042764465 0.0047969786 0.0061119758 0.014254822 0.007383121 0.0021732482 0.0018315425 0.00073068065 0.0006560749 0.0007694073 0.0020080905 0.006695723 0.0018326815 0.001352585 0.011432334 0.0035138736 0.0010604267 0.004046934 0.0033532719 0.0064035645 0.0068278494 0.0055202553 0.001798511 0.0074753817 0.0016492995 0.0039193644 0.0042325943 0.0061945547 0.004274738 0.004467802 0.005125016 0.00545704 0.0020137855 0.003814005 0.0037872382 0.0086297775 0.005434829 0.0010706779 0.006372242 0.0037450944 0.0074742427 0.00082578877 0.0036266365 0.0016077253 0.0036021476 0.0048863916 0.0030115661 0.00054786814 0.0066683865 0.0067577995 0.0139330495 0.012673294 0.0021584409 0.0027740807 0.0020069515 0.0015388146 0.0006116532 0.0015849449 0.0013856166 0.0031283156 0.0014374419 0.0013417643 0.0025536804 0.0016504385 0.00048863917 0.01457033 0.0048732925 0.009103039 0.0004931952 0.0004800965 0.0017700355 0.013470039 0.0012785489 0.039136693 0.0008337619 0.016564753 0.00039410056 0.0003792933 0.0010142964 0.00035936048 0.00032063384 0.00038100185 0.0014459846 0.0009636101 0.00027507308 0.00025570975 0.0008229412 0.0005934289 0.00024887564 0.0003058266 0.00085995934 0.00075289153 0.0002699475 0.00042827113 0.0007272636 0.0011384494 0.00030354856 0.00043567477 0.0007716853 0.00044592592 0.00025400124 0.00028418523 0.0010439109 0.0003787238 0.00053818646 0.0010968753 0.00086907146 0.00023122085 0.00024318055 0.00030297905 0.0011919833 0.0003126607 0.00029101936 0.00042656262 0.001173759 0.00085084717 0.0009869599 0.0009146322 0.0014169397 0.0011048485 0.00066917366 0.00050116837 0.0008354704 0.0006105142 0.00057805213 0.0006059581 0.009652616 0.0044609676 0.0032262711 0.005290743 0.004466663 0.0012079296 0.0032274104 0.005547592 0.0028765923 0.0025411514 0.00123071 0.0012569075 0.009858779 0.000902103 0.0019693638 0.0013844776 0.0016931517 0.0011851492 0.0011805932 0.0006184873 0.0011042788 0.00051085 0.0006378506 0.00053135236 0.0017973719 0.0008047169 0.0004749709 0.0015405231 0.0011561043 0.0005279353 0.0004863611 0.0005814692 0.0018155962 0.0004943342 0.00043852231 0.0007768109 0.0027410493 0.002417568 0.0004966123 0.00043225772 0.023107847 0.0022569662 0.0004692758 0.0044843177 0.0061182403 0.0003479703 0.00056950946 0.0010746644 0.0030463063 0.0016863176 0.0011190862 0.00086223736 0.002701753 0.0014385809 0.0035582953 0.0025861426 0.0059217596 0.0029654359 0.002407886 0.002161858 0.005852849 0.0020394134 0.0038715254 0.05791285 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.008664498 1.9097983e-05 2.7079228e-05 0.023111409 0.01374 0.00015107359 0.0009785579 0.0005110848 2.0523205e-05 2.5368961e-05 2.593905e-05 1.7957804e-05 1.5392403e-05 2.3088605e-05 2.2518516e-05 0.00051564554 0.0045441794 2.2233471e-05 8.038255e-05 0.0009808382 0.00057636 0.00021862914 0.0009942353 0.0006256727 1.22569145e-05 2.023816e-05 1.5962492e-05 2.3658695e-05 1.9383027e-05 1.9953115e-05 2.7079228e-05 0.00057550485 0.05796152 0.00020038629 0.0023293837 0.007814781 0.0010808888 0.0028906364 0.019033847 0.010887845 0.000108887005 7.382653e-05 7.781715e-05 9.663009e-05 9.663009e-05 0.00010575151 9.491982e-05 0.0028088286 0.026789624 0.0002630961 0.0019964518 0.004214668 0.0014406149 0.0019411531 0.01018407 0.0055937134 9.206938e-05 7.0691036e-05 6.670041e-05 7.496671e-05 8.465822e-05 8.266291e-05 6.8410685e-05 0.0024947096 0.0052909963 3.791092e-05 0.001722809 0.002305155 0.00198505 0.0013029384 0.008006901 0.004079557 5.18781e-05 2.6224096e-05 2.7934362e-05 2.1093294e-05 3.7055786e-05 3.0499763e-05 3.4490386e-05 0.00014166713 0.000903021 1.8242848e-05 6.384997e-05 0.00055298634 0.00032609093 0.00029758646 0.00063764455 0.0003879456 1.8812938e-05 0.00010204594 1.6247537e-05 1.7957804e-05 3.4775432e-05 4.988279e-05 3.1924985e-05 4.361181e-05 0.001959966 0.00025055412 0.00023972243 0.00023943739 0.00023316641 0.0006456258 0.0011256408 0.0005438649 0.00016960148 6.0144394e-05 9.8910445e-05 0.00018271353 0.0001844238 0.00024827378 0.00037939425 0.0004438143 0.0102935275 0.0012735788 0.0015614738 0.001325742 0.0016432817 0.0024214531 0.0024904339 0.001556058 0.0044079283 0.0005033886 0.0007077655 0.0010335714 0.0026868295 0.00090045563 0.0018339764 0.0038894324 0.088224985 0.0158442 0.011871818 0.014105428 0.026398543 0.040113173 0.013695818 0.022371434 0.06575464 0.0047884625 0.004439853 0.006774938 0.036858536 0.0074764327 0.027264792 0.05534795 0.046538647 0.009940357 0.0073116766 0.009093775 0.01584876 0.02615882 0.010097987 0.014891011 0.037377317 0.0035961217 0.0035439585 0.0041961404 0.019037837 0.0058365716 0.018257387 0.033889513 0.00020181152 6.299484e-05 9.4349736e-05 5.5298635e-05 7.753211e-05 6.384997e-05 5.18781e-05 4.9027658e-05 0.00012855507 3.8766055e-05 2.5083917e-05 3.221003e-05 9.8910445e-05 6.270979e-05 5.7293946e-05 6.727051e-05 4487.0 30.019611 134698.0 0.021782061 0.00026726455 0.00027468856 0.00019302439 0.0026058294 0.0005196811 0.00016332834 0.002397957 0.0011136023 0.00046028895 0.00037862477 0.0007349775 0.001462531 0.0013363227 0.002442501 0.0022865967 0.039733328 0.03814459 0.0384564 0.039688785 0.03933243 0.03841928 0.038463823 0.03809262 0.039428946 0.03942152 0.0038233679 0.0016629794 0.0008240657 0.00045286492 0.0007943696 0.00022272045 0.0010467862 0.040097106 0.039265618 0.040334675 0.041433427 0.039057743 0.040356945 0.00070528145 0.0006830094 0.00086860976 8.166417e-05 0.00015590432 0.0014031389 0.0012249625 0.0005716492 0.0018856998 0.0050631785 0.0011210263 0.0015961633 0.004951818 0.001915396 0.000957698 0.002390533 0.0028285498 0.00065331336 0.0011432983 0.00035635274 0.0016407074 0.005456651 0.00055680115 0.0012101145 0.0051299944 0.00047513697 0.020883754 0.0054863472 0.012323866 0.012888091 0.035189833 0.005003786 0.0043578967 0.008738066 0.016488738 0.0035932234 0.0022049325 0.01364534 0.005813004 0.015738912 0.018530343 0.009547284 0.00028211257 0.022324014 0.01776567 0.02235371 0.009421076 0.004536073 0.0033259587 0.0021455404 0.002887942 0.00080179365 8.9088186e-05 0.0006681614 0.00020787242 0.00031923264 0.0004380169 5.3912864 0.0 1.0 0.0 9.0 1755897.0 2949120.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1479407900.0 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 0.0 0.0 0.0 0.0 0.0 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 14.0 0.0 5.0 1.0 5.0 1.0 1312768.0 1024.0 4096.0 8.0 0.0 0.0 1.0 3.0 0.0 0.0 -512.0 -512.0 0.0 -65024.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 776704.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -37376.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1313792.0 0.0 721920.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4.4835978 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.7180705 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -25.0 -36.0 0.0 -64520.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 776512.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -48820.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1313568.0 0.0 721696.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1124.0 2084864.0 440.0 2085988.0 721696.0 2158592.0 0.0 0.0 5112.0 2916864.0 64520.0 2883584.0 56.0 2076464.0 0.0 0.0 0.0 0.0 24.0 2076520.0 64.0 2062216.0 0.0 0.0 1528.0 1318912.0 64.0 2084756.0 0.0 0.0


Input: 0.109240234 0.008184524 0.004829666 0.0039869184 0.0063471817 0.003392819 0.0034155962 0.0034231886 0.0083733825 0.0029534134 0.0028366814 0.0029723942 0.0062295008 0.0028926749 0.0024608616 0.006911861 0.00586412 0.0026459245 0.0023374863 0.002356467 0.0040770774 0.0029581587 0.002475097 0.0022558689 0.0033795326 0.002514957 0.0022169582 0.002308066 0.0030521138 0.0021286975 0.0022150602 0.0023004739 0.004231771 0.0025690522 0.0023308431 0.0023906326 0.0039859693 0.0022995246 0.0021116147 0.0022302447 0.0026857841 0.0022767477 0.002257767 0.003176438 0.0025367849 0.0032143996 0.0023128113 0.0021476783 0.0037278305 0.0027939747 0.0028091595 0.005086856 0.0030720436 0.002869898 0.002681039 0.002755064 0.0033349276 0.0031223428 0.0030274387 0.0043646363 0.0032390747 0.0031413236 0.0026155552 0.0039669885 0.0043636872 0.0029989674 0.0033956664 0.0031318332 0.0030435724 0.013965129 0.0062921373 0.004333318 0.003387125 0.002303321 0.002517804 0.0022539708 0.0026630072 0.010256279 0.0024067662 0.004052402 0.006770454 0.0040590456 0.0030559099 0.00317454 0.0027806882 0.007462304 0.0039812243 0.0034905702 0.002705714 0.0038018555 0.0020935829 0.0025282435 0.0024285943 0.004334267 0.0030559099 0.0030094068 0.0025965744 0.0031868774 0.0023460276 0.002538683 0.0036433658 0.0039166897 0.0038948616 0.0025016703 0.0034554559 0.002919248 0.004352299 0.002425747 0.0034620992 0.0024428298 0.003034082 0.0030454705 0.0030654003 0.0021590667 0.003695563 0.003434577 0.0070257457 0.008121887 0.002635485 0.0024542182 0.0026630072 0.002468454 0.0022482765 0.0021495763 0.002583288 0.003436475 0.002425747 0.0025092626 0.0035807292 0.0025927783 0.0021581177 0.009945943 0.0036291303 0.0068160077 0.0022226525 0.002188487 0.0032428708 0.011508063 0.0029145028 0.026799 0.0025348868 0.009437257 0.0020366407 0.0019910866 0.0026459245 0.0020783984 0.00206701 0.00223499 0.0025045173 0.0029116557 0.002074602 0.002003424 0.0024124605 0.0021562197 0.0020603666 0.0020812454 0.0024456768 0.00228434 0.0021324935 0.0022435314 0.0032457178 0.0027655035 0.0022568179 0.0023289449 0.002348875 0.0021078186 0.002074602 0.001998679 0.0025984724 0.0020110165 0.0020062712 0.00211636 0.0024304923 0.0021619138 0.0020527742 0.0020451818 0.0026649053 0.0020831435 0.0019749529 0.0020584685 0.0026240966 0.0022435314 0.0031707438 0.002587084 0.0033140488 0.0022748497 0.0021932323 0.0020527742 0.0026762937 0.0024646576 0.002398225 0.002447575 0.006354774 0.003810397 0.0034307807 0.0043238276 0.004514585 0.0024570655 0.0036832255 0.0049074874 0.003673735 0.0031005146 0.0022482765 0.002539632 0.010836142 0.0022122131 0.0025718992 0.0025339376 0.0033055074 0.0025510204 0.002586135 0.0021742515 0.0027436756 0.0020413857 0.0023279958 0.0020888378 0.0034905702 0.0022995246 0.0021486273 0.002399174 0.0028784394 0.002349824 0.0020821944 0.0022036717 0.0035712388 0.0022093658 0.002141035 0.0021770985 0.00329317 0.0028661017 0.002115411 0.0021543216 0.012367894 0.0037154928 0.0021097166 0.0047831633 0.006122259 0.002122054 0.002163812 0.002350773 0.005157085 0.002446626 0.002351722 0.0023659575 0.003952753 0.0021353408 0.003389023 0.002751268 0.0047898064 0.0027000196 0.0025016703 0.002257767 0.006548378 0.0033349276 0.005032761 0.031601146 0.026245592 2.3749087e-06 1.899927e-06 9.499635e-07 2.8498905e-06 9.499635e-07 9.499635e-07 1.4249453e-06 1.899927e-06 9.499635e-07 4.7498176e-07 9.499635e-07 4.7498176e-07 1.4249453e-06 4.7498176e-07 9.499635e-07 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00091243995 2.3749087e-06 4.2748356e-06 3.799854e-06 4.7498174e-06 4.2748356e-06 4.7498174e-06 4.7498174e-06 6.174763e-06 4.7498174e-06 3.799854e-06 2.3749087e-06 4.7498174e-06 4.7498176e-07 5.699781e-06 3.3248723e-06 0.0008483174 4.7498174e-06 8.549671e-06 4.2748356e-06 3.4198685e-05 4.2748356e-06 9.499635e-07 1.6149379e-05 2.3749087e-06 2.8498905e-06 2.8498905e-06 3.3248723e-06 6.174763e-06 4.7498176e-07 2.8498905e-06 3.0398833e-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 0.0015816892 4.7023193e-05 4.369832e-05 8.0746895e-06 5.367294e-05 2.422407e-05 5.3197957e-05 2.0424215e-05 1.092458e-05 1.5674397e-05 1.092458e-05 7.599708e-06 1.7099343e-05 9.499635e-07 9.024653e-06 4.1323412e-05 0.0066250456 0.00012254529 0.00023844084 3.847352e-05 0.00050205574 0.00013726973 0.0006977482 0.00031633786 3.9423485e-05 0.00017431831 3.4198685e-05 4.4173303e-05 4.037345e-05 2.2324142e-05 4.4173303e-05 0.00065072504 0.011383888 0.0002892639 0.0007058229 0.00013489481 0.0012705763 0.0002469905 0.000963738 0.00051488023 0.00010544595 0.00017479328 6.4597516e-05 0.00014724434 8.359679e-05 7.124726e-05 0.00011019577 0.0012425523 0.006410829 0.00021374179 0.00051440526 0.00020091729 0.00080556906 0.00015816893 0.0013389736 0.00075759593 8.882159e-05 4.9398102e-05 0.000104021005 0.00013346988 0.00010212108 6.364755e-05 0.00014724434 0.00058422756 0.0071503753 0.0002892639 0.0006906235 0.00031443793 0.001640587 0.0005357794 0.0024860546 0.0012145283 9.784624e-05 8.929657e-05 0.00024841545 0.00022039154 0.00014154456 7.02973e-05 0.00011114573 0.00026361487 0.005603835 0.00022039154 0.0006127265 0.0004531326 0.001771207 0.00064170035 0.0026133496 0.0015052172 0.00017241838 0.00016529365 0.00014344449 0.000120170385 0.000130145 0.00010497097 0.000106870895 0.0002265663 0.004895637 0.0008174436 0.0011352064 0.008761514 0.0015237415 0.0008307431 0.0013304239 0.0010525596 0.000911965 0.0007053479 0.00063077576 0.0006284009 0.00068159885 0.0006284009 0.0006436003 0.0010872333 0.012047912 0.0012558518 0.0011884044 0.002003473 0.0054352162 0.0032683495 0.001353223 0.0013693724 0.010460523 0.0009822623 0.0008198185 0.0010720339 0.004456754 0.0012867256 0.0033828202 0.008955781 0.0376879 0.0058247014 0.003980347 0.0048115654 0.017077494 0.012558043 0.004691395 0.0074880873 0.03164376 0.0021454927 0.002373484 0.0037034329 0.017161092 0.0037604305 0.012532393 0.023221858 0.026222793 0.0060792915 0.0038720514 0.0053582694 0.011256592 0.01028858 0.0041660652 0.009084976 0.02009173 0.0017037595 0.0020694956 0.0030821566 0.010118537 0.0038169534 0.008945807 0.016839053 0.030444905 0.029942375 0.029778982 0.030396933 0.030036421 0.03007442 0.03008012 0.029766157 0.030042121 0.030140918 0.030068245 0.03009152 0.030290062 0.029873028 0.030263938 0.030227365 3780.0 9.209788 34813.0 0.023698043 0.0039065867 0.004423635 0.0043374603 0.0135007035 0.005429006 0.0041651106 0.005658806 0.0071812253 0.0051130326 0.0041651106 0.0062907534 0.0066641774 0.008646196 0.009507942 0.0056300806 0.0150231235 0.011949559 0.012179358 0.010858012 0.012926206 0.0110878125 0.011691035 0.011317612 0.0143911755 0.012667682 0.0141326515 0.012064459 0.014793324 0.011001637 0.011001637 0.01740729 0.02760463 0.009507942 0.0055439062 0.008129147 0.009450492 0.0066641774 0.0072386754 0.0065492773 0.007037601 0.0062045786 0.0045098094 0.00439491 0.0077269985 0.0059460546 0.0052279322 0.005026858 0.012811306 0.005486456 0.006376928 0.009249418 0.008646196 0.006491828 0.01160486 0.009479217 0.007985523 0.005601356 0.0043374603 0.0054002814 0.0070950505 0.005601356 0.004998133 0.013443254 0.0074971993 0.025708787 0.010685664 0.015597622 0.019848907 0.035733778 0.009709016 0.008962169 0.009881366 0.020681929 0.006779077 0.0060035046 0.01740729 0.010628213 0.019418033 0.02766208 0.011461236 0.0045098094 0.02625456 0.021256426 0.036882773 0.0126102315 0.008588745 0.00574498 0.009019619 0.0085600205 0.005429006 0.0039927615 0.006951426 0.0038778617 0.003791687 0.004682159 6.336756 0.0 0.0 0.0 10.0 1053696.0 1069056.0 1.0 0.0 81.0 1.0 1.0 0.0 1.0 0.0 1541678700.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 14.0 15.0 6.0 0.0 6.0 0.0 396288.0 1024.0 4096.0 5.0 0.0 0.0 1.0 2.0 0.0 0.0 0.0 0.0 0.0 -18944.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 622592.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -8704.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -396288.0 0.0 6144.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.5802526 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 7.5800376 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.4158845 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.523553 0.0 3.4436426 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -18540.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 622564.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -12816.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -395784.0 0.0 6080.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 40.0 1022104.0 6080.0 1040384.0 0.0 0.0 0.0 0.0 18540.0 1048576.0 28.0 462176.0 0.0 0.0 0.0 0.0 24.0 462368.0 64.0 462208.0 0.0 0.0 328.0 401408.0 0.0 0.0 0.0 0.0


Input: 0.11393469 0.006388346 0.0031498927 0.0044280407 0.004200655 0.002400716 0.0026903339 0.0037387025 0.0041719326 0.002592199 0.0023576326 0.002225988 0.0033772786 0.0022140204 0.0030876608 0.003164254 0.0048828125 0.0034945619 0.004523782 0.0024390128 0.0035687615 0.0065798294 0.002096737 0.0017137715 0.0032193053 0.00276214 0.0022092334 0.0024366193 0.0033629173 0.0031498927 0.0029081458 0.0035807292 0.003700406 0.0021637562 0.0020775888 0.002905752 0.0033174402 0.002874636 0.0023360907 0.0031857959 0.0027382046 0.0026783664 0.0023815678 0.0026304955 0.002060834 0.0029775582 0.0023384842 0.0022044461 0.003324621 0.0030110676 0.0028052237 0.0027118758 0.0026089537 0.0027023016 0.0026041667 0.0022762523 0.0037075866 0.003437117 0.0028602749 0.0030062806 0.0028507009 0.004004385 0.003204944 0.004916322 0.005880917 0.003427543 0.0042748544 0.0030541513 0.0032456343 0.006278244 0.003575942 0.0028387331 0.0029799517 0.0041671456 0.0031211704 0.003348556 0.002819585 0.005572151 0.0038823145 0.004791858 0.0053064683 0.0043586283 0.0051772175 0.004277248 0.0032911114 0.004188687 0.003379672 0.0031762216 0.00201057 0.0020847695 0.0036764706 0.0034155753 0.0025443283 0.0032767502 0.002984739 0.0043897443 0.002556296 0.0030876608 0.0025634766 0.003070906 0.003374885 0.0034299365 0.002623315 0.002984739 0.003990024 0.0035065296 0.0044064987 0.0032384535 0.003458659 0.0034131818 0.0038416246 0.0041360296 0.0030493643 0.0033102597 0.0046817553 0.0036357804 0.0038511986 0.0036214192 0.0036190257 0.0032647825 0.0027549595 0.0026640052 0.004593195 0.0034347235 0.0024557675 0.004858877 0.003793754 0.0057851756 0.0033413756 0.0026113472 0.0024126838 0.003633387 0.0020321116 0.003343769 0.0022403493 0.002283433 0.002422258 0.0056774663 0.0027908625 0.0072476254 0.0032264858 0.006048464 0.0033270144 0.0036549289 0.0030948415 0.0032456343 0.003607058 0.003209731 0.002431832 0.0034993489 0.0031092027 0.0028124042 0.0020943435 0.0022954005 0.00295841 0.0026783664 0.0034969554 0.0028028302 0.0040498623 0.004478305 0.002704695 0.0026017732 0.0028866038 0.0027597465 0.0027645335 0.0032288795 0.0029033585 0.004344267 0.0030948415 0.0033150467 0.0028315526 0.0031068092 0.0022283816 0.0036477481 0.0029081458 0.0041192747 0.002293007 0.002431832 0.0023025812 0.0024126838 0.0028818168 0.0038894953 0.0033724916 0.004303577 0.002994313 0.0033509498 0.0030804803 0.0035376456 0.0024773092 0.0038272634 0.002989526 0.004593195 0.003942153 0.0026089537 0.0016994103 0.0025203929 0.0031690411 0.0022044461 0.0028722426 0.004921109 0.0030852673 0.003164254 0.002257104 0.0026735791 0.0024605545 0.0024055033 0.0027453853 0.004317938 0.0028985715 0.0024749157 0.0027836817 0.004710478 0.0039134305 0.0032767502 0.0035161036 0.004700904 0.002905752 0.0024342258 0.0029416552 0.0050766887 0.0038272634 0.0033102597 0.0029129328 0.0037267348 0.003370098 0.0021470014 0.002900965 0.004116881 0.0040378943 0.002984739 0.002395929 0.004272461 0.0034993489 0.004497453 0.003401214 0.0045644725 0.003406001 0.00394694 0.0032073376 0.003458659 0.002824372 0.002865062 0.0031618604 0.0036597159 0.0044495827 0.0048875995 0.003575942 0.0036956188 0.0037913602 0.003920611 0.005143708 0.0033150467 0.005617628 0.004523782 0.0055625765 0.03049125 0.01965602 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.002187068 2.3994164e-06 1.1997082e-06 1.1997082e-06 4.1989788e-05 3.8390663e-05 1.1997082e-06 0.0 2.3994164e-06 0.0 1.1997082e-06 2.3994164e-06 0.0 2.3994164e-06 3.959037e-05 0.00013556702 0.008324776 0.00014276528 6.598395e-05 3.8390663e-05 2.5193873e-05 1.4396499e-05 3.8390663e-05 1.9195331e-05 0.0001019752 4.798833e-06 2.3994164e-06 7.1982495e-06 2.6393582e-05 7.1982495e-06 3.5991247e-06 0.0010053555 0.005933757 4.079008e-05 3.359183e-05 7.0782786e-05 0.00012836877 0.00016795915 0.00038510634 0.0002051501 3.359183e-05 0.0 7.1982495e-06 1.0797374e-05 1.4396499e-05 1.7995624e-05 1.1997082e-06 0.00032032208 0.0037238942 8.038045e-05 4.918804e-05 3.4791537e-05 3.599125e-05 2.1594748e-05 0.00020275069 7.918074e-05 4.079008e-05 1.9195331e-05 4.798833e-06 9.597666e-06 1.9195331e-05 1.6795915e-05 2.7593289e-05 0.0005482667 0.003671107 9.7176366e-05 5.2787163e-05 5.638629e-05 0.0002927288 6.838337e-05 0.0002495393 0.00012596937 6.2384825e-05 2.6393582e-05 1.5596206e-05 2.8792998e-05 2.5193873e-05 3.7190955e-05 2.1594748e-05 8.2779865e-05 0.012504559 0.0003071253 0.00050747656 0.00038870546 0.002203864 0.0011025319 0.00092137593 0.00057466025 0.00015236295 0.00016915885 0.00019195331 8.637899e-05 6.4784246e-05 8.877841e-05 8.158016e-05 0.00031072443 0.013253177 0.00041149993 0.000838596 0.00045348972 0.0019303305 0.0009189765 0.0018079603 0.00095496775 0.00016915885 9.957578e-05 0.00012237024 0.00015836148 5.638629e-05 0.000117571406 0.00010917345 0.00071142695 0.009801616 0.0016687942 0.00054466753 0.00035871277 0.0016424005 0.0010761382 0.0019231323 0.0011049312 0.0002915291 0.00023994164 0.0001895539 0.00016675945 0.00019915156 0.00015116324 0.00032032208 0.002434208 0.00415339 0.0020347051 0.00032632065 0.0003335189 0.0013256776 0.0008277987 0.0007450188 0.0005806588 0.00017155828 0.00024234106 0.00016795915 0.00011517199 0.00019555243 0.000143965 0.00032872005 0.0030496584 0.0068935235 0.0017647708 0.00042709612 0.00053506985 0.0012344997 0.0006478424 0.000999357 0.0006982302 0.00056386285 0.00046308737 0.0003023265 0.00041629875 0.00046788622 0.0004366938 0.0005242725 0.003281202 0.0042217732 0.00085059315 0.0004222973 0.00030352618 0.0006814343 0.00032872005 0.000481083 0.00052187307 0.00032991977 0.0003491151 0.00037310927 0.0003071253 0.0003215218 0.00041269962 0.0004966792 0.0018835419 0.011468011 0.0043033534 0.0008901835 0.00095496775 0.0059769466 0.0057430035 0.003284801 0.00193273 0.00846994 0.0015572213 0.0009033803 0.0009345727 0.002249453 0.0020610988 0.0018943393 0.00880106 0.008358367 0.003391575 0.0004366938 0.0013388743 0.005703413 0.004454517 0.0021114864 0.0017935638 0.0080416445 0.0013544706 0.00088418496 0.001829555 0.0018439515 0.0021642738 0.0017851659 0.0061053154 0.04815029 0.037937175 0.038052347 0.04527099 0.042166144 0.042254925 0.04062452 0.05090962 0.037976764 0.045456946 0.046399914 0.046782624 0.04166227 0.04988147 0.050708067 0.06303867 1829.0 7.5697103 13845.0 0.008450705 0.0070783678 0.004983749 0.0054171183 0.005778259 0.0064283134 0.004478151 0.0064283134 0.0044059227 0.0067894547 0.004983749 0.0059227156 0.004261466 0.0059227156 0.0070783678 0.0046948357 0.009461899 0.0055615744 0.008739618 0.00534489 0.0043336945 0.006067172 0.0064283134 0.0051282053 0.0059227156 0.0065005417 0.0072950525 0.006644998 0.0036836404 0.008884073 0.0046948357 0.006356085 0.008667389 0.011195377 0.013362224 0.015240159 0.012928856 0.011195377 0.011845431 0.0070061395 0.0065005417 0.02137956 0.006644998 0.006861683 0.007872879 0.011412062 0.010400867 0.010834237 0.008739618 0.0138678225 0.010617551 0.012567714 0.0075839655 0.0075839655 0.011556518 0.0072228243 0.0041170097 0.0058504874 0.008378476 0.0062116287 0.006067172 0.003900325 0.0046948357 0.026002167 0.004478151 0.037342 0.015745757 0.012206573 0.01849043 0.036403034 0.007656194 0.008450705 0.0141567355 0.02253521 0.0138678225 0.008234019 0.02383532 0.012495486 0.017840376 0.029469123 0.011556518 0.0049115205 0.036764175 0.015240159 0.030335862 0.014228963 0.0156013 0.012784399 0.0055615744 0.008667389 0.0091007585 0.006356085 0.0037558686 0.008306248 0.0070061395 0.0141567355 6.3134823 4.0 0.0 0.0 18.0 417792.0 421888.0 0.0 0.0 76.0 0.0 1.0 0.0 0.0 0.0 1339611900.0 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 1.0 0.0 6.0 0.0 4.0 0.0 4.0 0.0 401408.0 4096.0 4096.0 3.0 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 -4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -401408.0 0.0 8192.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7.643363 0.0 5.045105 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7304.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -399892.0 0.0 4708.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 0.0 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 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 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 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 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 1.0 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 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 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 -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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -2.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 402308.0 4708.0 413696.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 32.0 552.0 384.0 4096.0 0.0 0.0 0.0 0.0


Input: 0.12220333 0.015577669 0.0076161185 0.0059786364 0.016278498 0.0038661847 0.003952543 0.008748738 0.01891242 0.0020958441 0.0030922836 0.0020227719 0.008243876 0.0024479195 0.0014348727 0.0144683 0.007928336 0.001122655 0.0011658341 0.0014747303 0.004753016 0.002431312 0.0025209917 0.0011857629 0.0028929957 0.0008835096 0.00086025934 0.0013916937 0.0021058086 0.0012056917 0.0008137588 0.0012986927 0.005540203 0.0009001169 0.000800473 0.0013750864 0.0028066377 0.0014415156 0.0008137588 0.0008635808 0.0024279905 0.0006775788 0.0007406866 0.0033912153 0.0025641706 0.0028929957 0.0012455492 0.0009067599 0.005709598 0.002753494 0.0029394962 0.008360126 0.0028830313 0.00183677 0.0017437689 0.001501302 0.0030690334 0.0028199235 0.0019330924 0.0057361694 0.0032218208 0.002208774 0.001959664 0.003009247 0.0037532551 0.005862385 0.0021091301 0.0014116225 0.0017072328 0.014185975 0.0061746025 0.0014315513 0.0026704576 0.0017636977 0.00078386563 0.0006244354 0.0011625126 0.005699633 0.0023582398 0.00069086463 0.01027329 0.0040123295 0.0010994048 0.004032258 0.0011824414 0.020490116 0.005281129 0.004038901 0.0022984536 0.005935457 0.00096322474 0.0019829143 0.002687065 0.0076692617 0.0043145823 0.0028398524 0.0014780518 0.0031421056 0.0012588351 0.0017969124 0.002610671 0.004387655 0.0060882447 0.001215656 0.0038063985 0.0025641706 0.007685869 0.0009897965 0.002966068 0.0013950152 0.0025973853 0.0025143488 0.0019862358 0.000750651 0.0037798267 0.0034045014 0.01560092 0.016723575 0.0023050965 0.001401658 0.0015378381 0.0014049795 0.000893474 0.00041518308 0.0013750864 0.0026405645 0.002208774 0.0016740182 0.0037266833 0.0023980974 0.0012588351 0.019928787 0.004919089 0.013990009 0.0011658341 0.00064436416 0.0023183823 0.01328918 0.0018865919 0.044368125 0.0009665462 0.012146596 0.0008336876 0.0004915768 0.0010064038 0.0006676144 0.0004317904 0.0003653611 0.0012488707 0.0011060478 0.0003387894 0.00040521869 0.00067093584 0.0005746134 0.0003852899 0.0005015412 0.00085029495 0.00066097145 0.00042514747 0.0015710528 0.0012820853 0.0018334484 0.00034543232 0.00084033055 0.0009964394 0.00058789924 0.00044507626 0.0003022533 0.0018400914 0.0004882553 0.0003587182 0.00050486263 0.00095326034 0.00036868258 0.00047496945 0.00044507626 0.0027800659 0.00040521869 0.00038861137 0.0004018972 0.0009897965 0.0009266886 0.0032151777 0.0017736622 0.0015909816 0.0012488707 0.000750651 0.00072740077 0.0007107934 0.0009897965 0.0013119786 0.0006875432 0.013415395 0.0063240686 0.004374369 0.010110538 0.0040721158 0.0010263326 0.0032218208 0.0042415103 0.0036004677 0.0038661847 0.0011425838 0.00076725835 0.0024811341 0.0010462614 0.0023648827 0.0012754424 0.0019995216 0.0018533772 0.002102487 0.000936653 0.0009266886 0.0004317904 0.0009698677 0.0008536164 0.0022984536 0.0013385502 0.0005945422 0.0019031992 0.0012090132 0.0014747303 0.00063439977 0.00072407926 0.0026306 0.00096322474 0.0008336876 0.0006177924 0.0017504118 0.0023250252 0.0006676144 0.00066429295 0.020247648 0.0032118564 0.0005746134 0.008230589 0.0076094754 0.0005115055 0.0006377212 0.00079383 0.004427512 0.0020427008 0.0011093692 0.0011193336 0.002388133 0.0010163682 0.0038595418 0.002580778 0.007991444 0.0019198066 0.0018865919 0.001501302 0.006981719 0.0022984536 0.0056730616 0.062705934 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0026680487 1.8331379e-05 2.4997333e-05 6.166009e-05 9.498987e-05 0.00013831857 0.00014665103 8.332445e-05 1.49984e-05 1.3331911e-05 6.6659554e-06 3.8329246e-05 2.6663822e-05 1.1665423e-05 1.8331379e-05 4.666169e-05 0.0044595245 0.00010665529 0.00021831004 3.166329e-05 0.00010832178 0.00013998507 0.0011082151 0.00044328606 2.3330846e-05 9.998934e-06 2.6663822e-05 1.1665423e-05 3.332978e-05 1.9997868e-05 2.6663822e-05 5.832711e-05 0.0023497494 2.4997333e-05 7.832498e-05 0.00012165369 0.00011165476 7.665849e-05 0.0003582951 0.00015331699 2.4997333e-05 1.3331911e-05 9.998934e-06 3.9995735e-05 0.0 9.998934e-06 8.332445e-06 3.166329e-05 0.0096673025 0.00020664462 0.0008682407 0.000114987735 0.0009365668 0.00074658706 0.0026463843 0.0015165049 3.6662757e-05 2.833031e-05 3.6662757e-05 3.499627e-05 3.332978e-05 4.3328713e-05 2.3330846e-05 0.00012498666 0.023647478 0.00090990297 0.0019014638 0.00077825034 0.0021531037 0.0029396864 0.0065143052 0.0037645984 0.00043162063 0.00025997226 0.00030830046 0.0002849696 0.00038162596 0.0006082684 0.00022830899 0.0026697153 0.007105909 0.00024997332 0.0010448885 0.0010315566 0.00045828446 0.0010265572 0.0028613615 0.0017931421 0.00019664569 0.00012165369 0.00011332124 0.00011832071 0.00033496428 0.0003132999 0.00011665422 0.00017831431 0.009808954 0.0011648757 0.0012232029 0.011960391 0.0018098069 0.0018298049 0.002546395 0.0017598122 0.0012165369 0.00093490025 0.0009482322 0.0009648971 0.0012165369 0.00089657103 0.00091156946 0.0017631452 0.018251387 0.0022380946 0.0019214617 0.0039012504 0.0029930142 0.0033079805 0.00212644 0.003387972 0.009780623 0.001264865 0.001271531 0.001864801 0.0043878653 0.001049888 0.0025963897 0.011328791 0.102794036 0.016919862 0.010837178 0.019079631 0.027270425 0.043327045 0.014335138 0.02540229 0.07587691 0.0050227977 0.004704498 0.010143918 0.035211243 0.0077041783 0.0300118 0.06282663 0.05227609 0.0108788395 0.009847283 0.012973616 0.015385025 0.024480723 0.011927061 0.018369706 0.0359245 0.002641385 0.0036262798 0.0045145187 0.021032756 0.008669076 0.017553128 0.029763492 0.003261319 0.001284863 0.0013698539 0.0016298261 0.0011148811 0.0012298689 0.0018298049 0.0014681767 0.0011032156 0.00083491096 0.0009582311 0.00086490775 0.00080824713 0.0009199019 0.0008815726 0.0009182354 1185.0 11.667511 13826.0 0.031607118 0.001880515 0.0018081875 0.002169825 0.00694344 0.0012295675 0.0012295675 0.0057138726 0.0048459424 0.0020974975 0.00115724 0.0035440475 0.0038333575 0.0052799075 0.011210762 0.0073050773 0.02372342 0.016924635 0.012006365 0.009908867 0.009908867 0.0111384345 0.009764212 0.010632142 0.012801968 0.010125849 0.012440329 0.017720237 0.016707653 0.00925792 0.012006365 0.016056705 0.004773615 0.011066107 0.00318241 0.00954723 0.0061478373 0.00520758 0.009474902 0.0065818024 0.00520758 0.0048459424 0.0016635325 0.00173586 0.0062924926 0.003905685 0.00491827 0.0028931 0.020107044 0.0039780126 0.00462896 0.01620136 0.0088239545 0.003616375 0.010053522 0.0093302475 0.00896861 0.0033993924 0.0057862 0.003327065 0.004194995 0.0032547375 0.0047012875 0.0062201647 0.00665413 0.0318241 0.0056415447 0.02430204 0.015984377 0.050701577 0.011789382 0.0111384345 0.0111384345 0.026833503 0.013959208 0.0036887024 0.021553595 0.014610155 0.024880659 0.029292637 0.0144655 0.002459135 0.035946768 0.024591349 0.05323304 0.017213944 0.0062201647 0.004194995 0.0057138726 0.010053522 0.002169825 0.00144655 0.00347172 0.0010849125 0.002459135 0.0042673224 6.077324 1.0 23.0 0.0 7.0 301072.0 311296.0 1.0 10.0 104.0 1.0 1.0 1.0 0.0 0.0 1527685000.0 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 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 14.0 0.0 5.0 1.0 5.0 1.0 239616.0 1024.0 4096.0 6.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -8704.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 34816.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2560.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -240128.0 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 -6.694283 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.3239555 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.282027 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -10.958269 0.0 4.2149663 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -8264.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 34702.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6936.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -239805.0 0.0 1312.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 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 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 -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 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 0.0 0.0 0.0 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 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 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 2.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 320.0 277824.0 80.0 278144.0 1312.0 294912.0 0.0 0.0 12304.0 288768.0 8264.0 299008.0 84.0 274496.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 274584.0 0.0 0.0 428.0 245760.0 0.0 0.0 0.0 0.0


Input: 0.17688705 0.012338978 0.0057320595 0.003429026 0.007806843 0.0029959972 0.005054938 0.0014047037 0.0119082965 0.0017203806 0.0056956806 0.0009452705 0.006454948 0.0016476224 0.0007217149 0.0026838407 0.004911182 0.0022461177 0.00091241195 0.0007287561 0.005574808 0.003921318 0.000640742 0.0005726779 0.0049446276 0.0011523969 0.00065071695 0.0007328634 0.0026351397 0.00076572195 0.0006741874 0.0006284201 0.006018985 0.00083730667 0.00075281324 0.00060377613 0.0019363083 0.0053260215 0.0040955856 0.0008983297 0.0017262483 0.0006923769 0.0005228033 0.00096404686 0.0013982493 0.0008384802 0.0015109073 0.00059204095 0.0046888 0.000611404 0.003992316 0.004725766 0.0010503005 0.00057443813 0.00055448833 0.0005093078 0.001320797 0.00071995467 0.0014592723 0.0019269201 0.0010098141 0.0011682394 0.00053453847 0.0040738755 0.0023781387 0.0025623813 0.0027630534 0.0019427628 0.0026568498 0.022999823 0.0012539064 0.004211177 0.0044235843 0.0062132026 0.00121342 0.0007082195 0.0020037857 0.023365375 0.0014704209 0.001521469 0.010038879 0.014819213 0.007900138 0.0059174756 0.005419903 0.017459048 0.0028041266 0.0029050494 0.0010332846 0.00075222645 0.00046471402 0.0024902099 0.0010549946 0.0046312977 0.0023781387 0.004437667 0.001203445 0.0030816642 0.00084786833 0.0017696685 0.0041812523 0.008168288 0.0020102402 0.0010332846 0.015419469 0.0024773013 0.0064614024 0.0009769556 0.002695576 0.0018066344 0.0027131788 0.002866323 0.00230362 0.0005116548 0.0029713532 0.0024045429 0.010586913 0.008167701 0.004109081 0.00085666974 0.0017720156 0.0012316095 0.00075985433 0.0007381442 0.0012222213 0.004603133 0.00076865574 0.0081858905 0.0022449442 0.002663304 0.0008349596 0.013706716 0.004637165 0.010560509 0.0005028534 0.0004987461 0.0016564238 0.013522473 0.0011453558 0.054049995 0.00096815417 0.0073544513 0.00042422756 0.00045004502 0.0017661479 0.0007762836 0.0008484551 0.0009904511 0.0012280889 0.0016693325 0.0006700801 0.0005222165 0.0010280038 0.0008296788 0.00067301386 0.001682828 0.0009834099 0.0005339517 0.00048407709 0.00042892163 0.0048173005 0.0012603607 0.0037464632 0.0005656367 0.001012748 0.00051106804 0.0004089718 0.0003813941 0.0010180288 0.0004617802 0.00047527568 0.0007029386 0.0008901151 0.00046236697 0.00049229176 0.000494052 0.0011406617 0.00047410215 0.00045415232 0.00044652444 0.00095817924 0.0005433399 0.0005057872 0.0004177732 0.0028633894 0.0009775424 0.0005855866 0.00043948332 0.0011183647 0.0006501302 0.00082733174 0.008870639 0.009453879 0.002624578 0.0036901343 0.0031391666 0.0036783991 0.0004887712 0.0016012683 0.0056100134 0.001964473 0.0030171205 0.0006061232 0.0005703308 0.012896988 0.00051693566 0.00048759766 0.00052104297 0.0016740266 0.00076982926 0.0035188005 0.0005726779 0.0015584348 0.0010708373 0.0037687602 0.00051693566 0.0020589412 0.00055038097 0.00071408704 0.0005251503 0.002233209 0.0009998393 0.00045180527 0.00043772304 0.003387953 0.0011025222 0.00092003983 0.00053453847 0.0024884497 0.004094999 0.003691308 0.0003561634 0.019398289 0.0023546682 0.0005697441 0.0034753801 0.009271983 0.00058734685 0.0005521413 0.0004782095 0.005803644 0.0008355464 0.00057150435 0.0011964039 0.0044582034 0.003918384 0.00085666974 0.0014669002 0.0060794214 0.0011236456 0.0010086406 0.0010679034 0.016039088 0.001942176 0.00301536 0.04390198 0.008382113 8.808441e-07 3.5233763e-06 3.5233763e-06 4.110606e-06 4.6978353e-06 9.102056e-06 4.110606e-06 0.0 0.0 1.1744588e-06 0.0 2.936147e-07 2.936147e-07 0.0 4.6978353e-06 0.0005787146 5.872294e-07 5.872294e-07 2.936147e-07 2.936147e-07 1.1744588e-06 2.936147e-07 0.0 2.055303e-06 2.936147e-07 5.872294e-07 1.4680735e-06 2.6425323e-06 5.872294e-07 2.6425323e-06 9.102056e-06 0.0011174976 1.5855194e-05 1.32126615e-05 1.4680735e-06 4.9914497e-06 5.5786795e-06 2.055303e-06 1.7616882e-06 2.0846644e-05 3.2297617e-06 1.4680735e-06 1.4680735e-06 4.110606e-06 3.5233763e-06 1.4680735e-06 4.110606e-06 0.020629955 4.4042204e-06 1.7616882e-06 4.6978353e-06 2.936147e-06 1.8204111e-05 1.7616882e-06 0.0045918403 2.3489176e-06 2.936147e-07 5.5786795e-06 0.0053875363 2.3489176e-06 3.5233763e-06 1.7616882e-06 8.514827e-06 0.0014322525 3.2884847e-05 2.99487e-05 4.4042204e-06 0.0003417675 0.00025485756 1.4093505e-05 0.00020347499 1.2919047e-05 1.1744588e-05 3.2297617e-06 2.1727488e-05 7.0467527e-06 5.2850646e-06 4.4042204e-06 2.5250865e-05 0.0016280935 1.7616882e-06 6.165909e-06 9.1020556e-05 0.0032162555 0.0021325236 2.936147e-06 0.00018967509 2.3489176e-06 5.872294e-07 1.7616882e-06 0.00033853776 2.055303e-06 4.6978353e-06 1.7616882e-06 0.00019701547 0.006894954 4.5216664e-05 8.690995e-05 3.435292e-05 6.488885e-05 0.00022872585 7.164199e-05 0.0003517504 2.4076406e-05 6.048463e-05 4.257413e-05 0.0022088634 3.7582682e-05 2.7893397e-05 5.9016555e-05 0.0029901722 0.024612546 0.0008620528 0.0006676798 0.00036466945 0.00086322724 0.0025415288 0.000555519 0.0018101346 0.00031328687 0.000583706 0.00024516828 0.00035820995 0.0003156358 0.00025808733 0.00039080117 0.004945059 0.00913083 0.00024898528 0.00030712096 0.00032884846 0.0009386862 0.0009862517 0.00057196146 0.0011897268 0.000299487 0.00012742878 7.2816445e-05 0.00010159069 0.00013007132 7.252283e-05 0.00014122867 0.002189485 0.005525829 0.00018497727 0.0025518055 0.0007748492 0.0033407481 0.0025967285 0.00983756 0.004658491 0.00010482045 9.9829e-05 0.00014533928 8.3092964e-05 0.00011656504 6.98803e-05 9.454393e-05 0.0010837319 0.007532685 0.00029449555 0.003021589 0.0011265996 0.003797319 0.0026395961 0.008725348 0.004339919 0.00019055595 0.00011950119 0.00034734618 0.00010922467 0.00013359469 0.00013359469 0.00014768819 0.00041370312 0.0070159235 0.0010711064 0.0013065854 0.00068236055 0.002450802 0.0012534412 0.0017384926 0.0010499662 0.0009028652 0.00027482337 0.00034118028 0.00033501437 0.00045069857 0.00028627433 0.0004712516 0.00081419357 0.010143507 0.0012355307 0.0012469817 0.0007924661 0.0044591264 0.0033988839 0.001678008 0.0012546156 0.0055563645 0.0006509438 0.0006069016 0.0007246411 0.0026360727 0.00065387995 0.0024466913 0.005209312 0.12027075 0.019864503 0.012723206 0.017010862 0.05011944 0.054830782 0.025311643 0.023167374 0.090247765 0.008472253 0.010171694 0.007354461 0.037875123 0.013389124 0.039767176 0.062328234 0.017563444 0.0039074244 0.0021677574 0.0021598297 0.0074096606 0.010502598 0.0045172623 0.0044934796 0.013868303 0.0017511181 0.0011380506 0.0013098152 0.006197032 0.0025814604 0.0061227474 0.009319037 0.0046461592 0.003924748 0.004573049 0.0055531347 0.0047219116 0.0031651666 0.004694018 0.0039041948 0.0037497533 0.0029543513 0.0045709936 0.0029252833 0.0029854742 0.0039341436 0.0036384733 0.0037993742 10187.0 12.855109 130955.0 0.045130007 0.0027719445 0.0011454317 0.00038944677 0.001809782 0.040533006 0.034599673 0.00071780384 0.004062464 0.0034668397 0.00048108128 0.00084761943 0.0017334198 0.0026497652 0.012828834 0.00045053643 0.038265053 0.0014661525 0.0039784657 0.00096979877 0.0017410561 0.00033599327 0.00061089685 0.00040471918 0.00087816425 0.00038944677 0.011736856 0.0006948952 0.0005574434 0.005177351 0.00084761943 0.038738497 0.005238441 0.016921842 0.0055286167 0.015272422 0.015188424 0.020350503 0.0070482227 0.004772632 0.003474476 0.0152876945 0.0015806956 0.0018250544 0.010362338 0.014814249 0.0110495975 0.010201978 0.012500477 0.0047573596 0.013638273 0.02106067 0.016097132 0.005070444 0.0073994882 0.009178725 0.001886144 0.0015272421 0.00061089685 0.001336337 0.00245886 0.0008399832 0.00084761943 0.027039822 0.00058035203 0.033729143 0.0057424307 0.017563285 0.015623688 0.053018212 0.006796228 0.007720209 0.012385934 0.024726052 0.002497041 0.003764652 0.022717727 0.015837502 0.028765606 0.031025926 0.013309916 0.0005039899 0.031018289 0.019716697 0.04288496 0.010667787 0.037570156 0.0042151883 0.0037035623 0.004932992 0.0009927074 0.00041235538 0.00077889353 0.00040471918 0.00040471918 0.00041235538 5.686301 2.0 0.0 0.0 5.0 1704274.0 1728512.0 0.0 3.0 789.0 0.0 1.0 0.0 0.0 0.0 1415258400.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 6.0 0.0 4.0 0.0 4.0 0.0 1146880.0 4096.0 4096.0 5.0 0.0 0.0 2.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 184320.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -69632.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1339392.0 0.0 106496.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.2564244 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.9365396 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -12.93526 0.0 2.2280262 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 180255.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -90920.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1336403.0 0.0 106024.0 0.0 0.0 0.0 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 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 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 -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 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 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 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 -1.0 -1.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -3.0 0.0 -1.0 1.0 0.0 0.0 -1.0 -1.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 3.0 1.0 -1.0 1.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 1.0 0.0 0.0 -1.0 1.0 -1.0 -2.0 0.0 -1.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 -2.0 1.0 -2.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 2.0 1.0 0.0 1.0 1.0 0.0 0.0 1.0 0.0 -1.0 -1.0 -1.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 1.0 1.0 0.0 1.0 0.0 1.0 0.0 -1.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 -2.0 -2.0 1.0 -1.0 1.0 1.0 0.0 0.0 1.0 1.0 1.0 0.0 0.0 1.0 0.0 1.0 1.0 0.0 0.0 -1.0 0.0 1.0 0.0 1.0 1.0 0.0 0.0 1.0 0.0 2.0 -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 -1.0 0.0 0.0 0.0 2.0 1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 -1.0 -2.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 -1.0 1.0 -1.0 0.0 0.0 1.0 0.0 1.0 2.0 0.0 1.0 -1.0 1.0 -1.0 -1.0 1.0 -2.0 1.0 -1.0 0.0 1.0 3.0 1.0 0.0 -1.0 -1.0 0.0 1.0 1.0 -1.0 -2.0 0.0 -1.0 1.0 -2.0 0.0 0.0 1.0 0.0 0.0 1.0 -1.0 1.0 0.0 -1.0 1.0 0.0 -1.0 0.0 1.0 1.0 0.0 0.0 1.0 -2.0 0.0 1.0 -3.0 0.0 0.0 0.0 -1.0 2.0 0.0 -1.0 0.0 -1.0 2.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 -1.0 0.0 1.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 -1.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 1.0 0.0 1.0 2.0 -1.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 -2.0 1.0 0.0 1.0 0.0 1.0 0.0 0.0 -2.0 1.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 1.0 1.0 -1.0 0.0 0.0 1.0 0.0 0.0 1.0 -1.0 0.0 -3.0 0.0 1.0 -1.0 0.0 -1.0 0.0 -2.0 1.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -2.0 0.0 0.0 -1.0 -1.0 0.0 1.0 -1.0 0.0 2.0 -1.0 1.0 -2.0 0.0 0.0 -1.0 -1.0 0.0 -1.0 0.0 0.0 1.0 -1.0 -1.0 -1.0 -1.0 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 1.0 0.0 -3.0 1.0 0.0 1.0 1.0 -1.0 0.0 0.0 0.0 -1.0 -1.0 -1.0 1.0 0.0 0.0 0.0 0.0 -2.0 0.0 -1.0 -1.0 0.0 -2.0 0.0 -2.0 1.0 0.0 -1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 -1.0 2.0 0.0 -1.0 0.0 -1.0 0.0 -1.0 0.0 0.0 -1.0 0.0 2.0 0.0 0.0 -1.0 0.0 -1.0 0.0 1.0 2.0 0.0 0.0 1.0 1.0 1.0 -3.0 1.0 -1.0 0.0 1.0 1.0 -1.0 -1.0 -1.0 2.0 0.0 0.0 0.0 1.0 -1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 1.0 1.0 -1.0 0.0 0.0 1.0 -2.0 1.0 -1.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 -1.0 -2.0 0.0 -1.0 -1.0 0.0 0.0 0.0 1.0 1.0 -1.0 1.0 1.0 2.0 0.0 0.0 0.0 1.0 1.0 3.0 -1.0 2.0 0.0 0.0 0.0 1.0 1.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 -1.0 2.0 0.0 0.0 2.0 0.0 -1.0 -2.0 0.0 0.0 -1.0 0.0 1.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 -1.0 1.0 1.0 -1.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -3.0 2.0 -1.0 -1.0 -2.0 0.0 0.0 -2.0 -1.0 1.0 1.0 0.0 -1.0 1.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 -2.0 -1.0 0.0 1.0 0.0 0.0 2.0 1.0 1.0 1.0 0.0 0.0 0.0 -1.0 -2.0 0.0 -1.0 2.0 -1.0 0.0 1.0 -1.0 -1.0 -1.0 -1.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 1.0 0.0 2.0 -1.0 1.0 0.0 0.0 1.0 -1.0 1.0 0.0 0.0 -1.0 0.0 2.0 0.0 -1.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 1.0 0.0 1.0 1.0 0.0 -2.0 0.0 1.0 1.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 -1.0 0.0 -2.0 -1.0 2.0 3.0 0.0 1.0 -1.0 0.0 0.0 -1.0 1.0 0.0 -1.0 0.0 0.0 1.0 1.0 0.0 1.0 0.0 0.0 1.0 1.0 1.0 1.0 -1.0 -1.0 0.0 -1.0 1.0 1.0 0.0 -2.0 -1.0 0.0 0.0 1.0 0.0 -1.0 0.0 1.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 -1.0 -1.0 1.0 0.0 -1.0 -1.0 0.0 -1.0 0.0 0.0 1.0 0.0 -2.0 1.0 1.0 0.0 0.0 -1.0 -1.0 -1.0 0.0 1.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 1.0 1.0 -1.0 0.0 1.0 1.0 0.0 -1.0 -2.0 0.0 1.0 0.0 1.0 -2.0 1.0 0.0 0.0 1.0 -1.0 1.0 -1.0 0.0 -1.0 -1.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 3.0 1.0 -2.0 0.0 -2.0 0.0 1.0 0.0 0.0 1.0 0.0 -3.0 1.0 1.0 0.0 0.0 2.0 -1.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 1.0 0.0 0.0 1.0 -2.0 0.0 -1.0 0.0 -1.0 0.0 -2.0 0.0 0.0 0.0 -2.0 -1.0 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 0.0 0.0 0.0 -1.0 2.0 1.0 -1.0 1.0 0.0 -2.0 -1.0 1.0 0.0 0.0 -1.0 0.0 0.0 1.0 1.0 0.0 0.0 1.0 -2.0 0.0 0.0 0.0 2.0 -1.0 0.0 0.0 0.0 0.0 -1.0 -1.0 -1.0 0.0 0.0 -2.0 1.0 1.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 -2.0 1.0 1.0 0.0 0.0 -2.0 -2.0 1.0 0.0 2.0 1.0 0.0 -1.0 0.0 0.0 1.0 0.0 -2.0 1.0 1.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 -1.0 0.0 1.0 -1.0 2.0 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 1.0 0.0 0.0 -1.0 0.0 -2.0 -1.0 0.0 0.0 0.0 0.0 -4.0 -1.0 -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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 159.0 1331072.0 540.0 1313280.0 106024.0 1429504.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 3620.0 1150976.0 0.0 0.0 0.0 0.0