Input: 0.20374645 0.0037163629 0.0038051412 0.0055165915 0.0044709793 0.003060389 0.0031146426 0.0035437383 0.0037508877 0.0030998462 0.002870502 0.004024621 0.003094914 0.0029420177 0.0027398004 0.0030431265 0.0032946654 0.0028137823 0.003129439 0.002729936 0.0028557056 0.0034919507 0.0044783778 0.0024266099 0.0027003433 0.0023279672 0.0025622435 0.0026386916 0.0024833295 0.0024833295 0.0027225378 0.0028261128 0.0031195746 0.0025523792 0.0022687817 0.003052991 0.0025967686 0.0028310448 0.0025770399 0.0024562026 0.0025622435 0.0023920848 0.0024364742 0.0025375828 0.002616497 0.0025573114 0.0024931936 0.0023008403 0.0033267243 0.0025104561 0.002466067 0.0026017006 0.0026781487 0.002833511 0.002389619 0.002648556 0.0029050268 0.00250799 0.0027348683 0.0035116794 0.0025178543 0.0025129223 0.002320569 0.0028088503 0.006892657 0.003055457 0.0028951627 0.0027151396 0.0072773634 0.009990037 0.0027915877 0.002909959 0.0028581715 0.0031935566 0.0023008403 0.0027743252 0.0031245067 0.0027841895 0.0033415207 0.0028951627 0.0038150055 0.0024857954 0.0031540997 0.0034919507 0.0031836925 0.0027817234 0.0029025609 0.0024093473 0.0026041667 0.0025104561 0.0025696417 0.0025647096 0.0027866557 0.0028187146 0.0036645755 0.003020932 0.0026781487 0.0041479245 0.0035905933 0.0029666785 0.0035166114 0.006337792 0.0027028094 0.0030406604 0.004986387 0.004066544 0.0033217922 0.0025893704 0.0040838066 0.003314394 0.0051787407 0.0038988518 0.003573331 0.0026189631 0.00472745 0.004236703 0.005225596 0.0034524936 0.0029765428 0.0023550938 0.0032552083 0.0027028094 0.0024364742 0.0025104561 0.002547447 0.0025104561 0.0025893704 0.002651022 0.0042983545 0.0025992345 0.0023772884 0.002833511 0.0030702534 0.0027028094 0.0025153882 0.0023033065 0.0025893704 0.003427833 0.0025499132 0.0034820866 0.0027471986 0.0030505247 0.0024488044 0.0024044153 0.0033045297 0.0023476956 0.0024488044 0.0023131708 0.0024167455 0.0024636008 0.0026707505 0.0022145282 0.0025227864 0.0025005918 0.0024907277 0.0023871528 0.0026756825 0.002540049 0.0024364742 0.0023181029 0.002611565 0.0032354798 0.0025252525 0.0023550938 0.0025252525 0.0024488044 0.0032946654 0.0023920848 0.0025548453 0.0024192117 0.0025893704 0.0022934421 0.002757063 0.0027693931 0.0025992345 0.0025005918 0.0030283302 0.0025252525 0.0032231496 0.0035856613 0.0027176058 0.0027052753 0.0025277187 0.0027693931 0.0034352313 0.0027841895 0.0025573114 0.002803918 0.0028606376 0.0027743252 0.0025227864 0.0025696417 0.0036744396 0.0029617464 0.002394551 0.0024241437 0.0029025609 0.0026411577 0.002651022 0.0030110676 0.003016 0.0026411577 0.0024956597 0.002806384 0.0029050268 0.0027595288 0.0027545968 0.0026189631 0.00434521 0.0030357284 0.0029864071 0.002870502 0.003383444 0.0030702534 0.0025967686 0.002870502 0.003208353 0.0028532394 0.002909959 0.0024907277 0.00294695 0.002838443 0.0032404119 0.0037385575 0.0050258446 0.0036571773 0.0031886245 0.0032995977 0.0031540997 0.0031565656 0.0030850498 0.0027940539 0.004347676 0.0029617464 0.0026362254 0.002690479 0.0028088503 0.0029025609 0.0027891216 0.0031762943 0.0035979915 0.0040690103 0.0036695076 0.0030850498 0.002944484 0.0027915877 0.0024931936 0.0024364742 0.003020932 0.002352628 0.003274937 0.0023649582 0.0031565656 0.0025819722 0.0045449613 0.028700087 0.012658228 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0075949365 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0046429983 3.5848498e-05 5.933544e-05 3.8320806e-05 3.5848498e-05 4.3265427e-05 9.023932e-05 4.4501583e-05 4.9446203e-06 1.2361551e-06 4.9446203e-06 9.889241e-06 2.4723101e-06 0.0 2.8431567e-05 2.1014635e-05 0.0022918314 3.5848498e-05 2.5959256e-05 1.2361551e-05 2.7195412e-05 1.483386e-05 3.8320806e-05 1.8542325e-05 2.4723101e-06 1.3597706e-05 1.8542325e-05 8.653085e-06 1.1125396e-05 4.9446203e-06 2.4723101e-06 4.9446203e-06 0.008339102 0.0002534118 3.708465e-05 5.1918512e-05 0.0004895174 5.315467e-05 0.0003547765 6.4280066e-05 6.1807754e-05 3.461234e-05 8.776701e-05 2.7195412e-05 0.00014339399 2.2250792e-05 3.3376185e-05 7.293315e-05 0.024259543 0.00086283626 0.00030162183 0.00016564479 0.0019209849 0.00021632714 0.0007899031 0.00012485166 0.00028184336 0.00012856013 0.00014092168 0.0002719541 0.00032140032 0.00038691654 0.00035106804 0.0023870154 0.05067123 0.0021978838 0.00088137854 0.00059706287 0.005317939 0.0004647943 0.0017170194 0.000462322 0.00062302215 0.0003164557 0.00054019975 0.0007528184 0.0006897745 0.0010494957 0.00087519776 0.0011978343 0.023332426 0.00057357596 0.0004895174 0.00032263648 0.0012979629 0.00033747032 0.0005636867 0.00047097506 0.00067988527 0.00015451938 0.00022745253 0.0005327828 0.0008022646 0.0016292523 0.0015254153 0.007566505 0.014221964 0.00023610561 0.00021509099 0.00016811708 0.00077754154 0.0003683742 0.00072809536 0.0007614715 0.00014092168 0.0002694818 0.00030409414 0.0005352551 0.0006081883 0.0015513746 0.0018888449 0.0025415348 0.018528728 0.00026453717 0.00035601266 0.00038444423 0.00059706287 0.00046108585 0.0011261372 0.00077754154 0.00034488726 0.00057110365 0.0010717465 0.0013511175 0.0010198279 0.0018208564 0.0032894085 0.0034785403 0.019988628 0.0009357694 0.00056863134 0.00060571596 0.0016168908 0.0011508603 0.0032721024 0.0019234573 0.0004956982 0.0006786491 0.0012423359 0.0016811709 0.0012336827 0.0019419997 0.0027096518 0.0029927315 0.026181765 0.0025971618 0.0010371341 0.0014549545 0.0069892206 0.002677512 0.009768098 0.0050571105 0.0006712322 0.0004759197 0.0010532041 0.0008764339 0.0015810423 0.00094071403 0.0013820213 0.0030792623 0.007638202 0.0006848299 0.0004759197 0.00047221122 0.0037097014 0.0010000494 0.0031348893 0.0019073873 0.0016935325 0.00022992484 0.00041040347 0.00041658425 0.00085171085 0.0012571696 0.0011298457 0.0028357396 0.004521855 0.0005241297 0.0003609573 0.00029420492 0.0022374406 0.0009394779 0.0013770767 0.0011100672 0.002127423 0.00048828125 0.0003683742 0.00044872428 0.0007107892 0.0008084454 0.0010828718 0.002853046 0.0007454015 0.00045737738 0.00038691654 0.0013968552 0.00043141813 0.0014067445 0.0007182061 0.00045614122 0.0011273734 0.0003992781 0.000318928 0.0013746044 0.00049075356 0.0010989419 0.00081215386 0.0010371341 0.036951147 0.03637757 0.036234178 0.037404817 0.036480173 0.037733633 0.0368572 0.037298508 0.03725648 0.03637757 0.036169898 0.037209503 0.036293514 0.036993176 0.036691554 0.0375445 2337.0 8.842105 20664.0 0.005226481 0.0036295005 0.0031939605 0.0030003872 0.0034359272 0.0051780874 0.003242354 0.0029036005 0.0032907473 0.0032907473 0.002564847 0.0040650405 0.0031939605 0.002274487 0.004113434 0.0036295005 0.0031455671 0.004694154 0.004790941 0.0054200543 0.005807201 0.006145954 0.005129694 0.0041618273 0.005226481 0.004500581 0.003968254 0.004258614 0.0030487804 0.0027584205 0.0028068137 0.004113434 0.0034359272 0.017857144 0.008614015 0.010210995 0.012921022 0.022260936 0.009146341 0.010936895 0.007355788 0.014034069 0.0037262873 0.008420441 0.010356175 0.008855982 0.01679249 0.012340302 0.009097948 0.004694154 0.018002324 0.021777004 0.014034069 0.0098238485 0.0075977547 0.0050329072 0.0030003872 0.0040650405 0.005516841 0.0028068137 0.004016647 0.0025164536 0.0036295005 0.012679055 0.0033391404 0.036246613 0.012582269 0.013501742 0.02114789 0.06958962 0.0075493613 0.013550135 0.018389469 0.034649633 0.0061943475 0.010356175 0.026616337 0.016598916 0.03537553 0.029761905 0.013840496 0.0070170346 0.040892374 0.034891598 0.038133953 0.01563105 0.013308168 0.0047425474 0.013356562 0.009727062 0.004016647 0.003242354 0.004258614 0.0028068137 0.003532714 0.0033875338 6.0220385 1.0 0.0 0.0 6.0 405504.0 434176.0 0.0 0.0 64.0 0.0 1.0 0.0 0.0 0.0 1542779500.0 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 5.0 4.0 6.0 0.0 4.0 0.0 4.0 0.0 372736.0 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 -372736.0 0.0 24576.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7.2530193 0.0 4.100939 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -31936.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -371928.0 0.0 23706.0 0.0 0.0 0.0 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 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 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 1.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 374564.0 23706.0 409600.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 32.0 560.0 328.0 4096.0 0.0 0.0 0.0 0.0


Input: 0.0527043 0.0041882927 0.0038783902 0.0039962404 0.0041427044 0.0037265911 0.0036451144 0.0037193166 0.004178593 0.0035893416 0.003601951 0.0036635436 0.0039637466 0.0036145607 0.0035951615 0.0045496034 0.004006425 0.0035966164 0.0035723674 0.0036247452 0.0038745103 0.0036645136 0.003559758 0.0035723674 0.0038662655 0.0036126208 0.0037018573 0.0035733373 0.0035699424 0.003607771 0.0036378398 0.0035704274 0.0036533591 0.0035854618 0.0036955525 0.003682458 0.003880815 0.0035898266 0.0036000113 0.00363299 0.0037164066 0.0036004963 0.0036378398 0.0036417197 0.003654329 0.0035810971 0.0036892476 0.003556848 0.0036761533 0.003628625 0.0036829428 0.003834257 0.003632505 0.0036635436 0.0036232902 0.0035791572 0.0037430807 0.0037154367 0.0036358999 0.0037702394 0.0036499642 0.0036683935 0.0035660625 0.00363105 0.003854141 0.0036746983 0.0037843038 0.0037692694 0.0037421107 0.0042183613 0.003806128 0.0037901236 0.0037231962 0.0035738223 0.0036000113 0.0036882777 0.0036509342 0.003806128 0.0036625736 0.003629595 0.0041902326 0.0036742133 0.0036538441 0.0038226175 0.0037479303 0.003707192 0.003907004 0.003829892 0.003681003 0.0036446294 0.0036155307 0.003662089 0.003604861 0.003706707 0.0037164066 0.0037096168 0.00362717 0.0036184406 0.0037518102 0.003632505 0.0036737283 0.0037537501 0.004206722 0.003633475 0.003806613 0.0036397798 0.00400982 0.0035364788 0.0036378398 0.0036800331 0.0037096168 0.0036126208 0.0036877927 0.0035747923 0.0037707244 0.0036465693 0.0040976014 0.004184413 0.0036266851 0.0036489943 0.0036160157 0.003532599 0.0035971014 0.0035796422 0.0036839128 0.003756175 0.0036402647 0.00363008 0.0037760593 0.0036722734 0.0035757623 0.004413324 0.003807583 0.0040248544 0.0038260121 0.0036688785 0.0038109778 0.004261525 0.0036853678 0.00513449 0.0036645136 0.004309053 0.0037202865 0.0036509342 0.0035917666 0.003659179 0.0036111658 0.0035689725 0.003559273 0.0035835218 0.0036950675 0.0035767322 0.0034724614 0.0036131057 0.00363202 0.0036145607 0.0035893416 0.003632505 0.0037159217 0.0036097108 0.0035893416 0.00363299 0.0036383248 0.0036014663 0.0036121358 0.003601951 0.003605831 0.0036189256 0.0036194106 0.0035830368 0.0035655776 0.003604861 0.0035636376 0.0035733373 0.0035757623 0.0035228992 0.003705737 0.0036111658 0.0035442384 0.0035728524 0.0036106808 0.003607771 0.0037251362 0.00363493 0.0037629649 0.00362911 0.0036480243 0.0036368698 0.003628625 0.0036780932 0.0036674235 0.003607286 0.004006425 0.0037901236 0.0036877927 0.0036984624 0.003707192 0.0036004963 0.0038124328 0.0036989474 0.0036358999 0.0037236812 0.003731926 0.003706222 0.0036169856 0.003555393 0.003702827 0.0036834278 0.0036383248 0.00363105 0.0036194106 0.0036688785 0.0035437534 0.003605346 0.0036475393 0.0036480243 0.0036902176 0.00363105 0.003603406 0.0036485093 0.0037154367 0.003530659 0.003602921 0.0036252302 0.0036902176 0.0036252302 0.0035966164 0.003654329 0.0036717884 0.0035195046 0.003607771 0.0036771232 0.0045408737 0.0036936125 0.0036732433 0.003856081 0.0038643256 0.0035161097 0.0036485093 0.0037707244 0.003807098 0.003657239 0.0036213505 0.0037178616 0.0036892476 0.0036179556 0.0036625736 0.003604861 0.0038134027 0.003656269 0.003654814 0.0036373548 0.003831347 0.0036523892 0.0037775142 0.005957987 0.042743538 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00042275642 4.3683212e-06 6.3097973e-06 3.882952e-06 5.8244286e-06 3.3975832e-06 4.8536904e-06 5.096375e-06 3.3975832e-06 5.3390595e-06 4.611006e-06 6.552482e-06 5.581744e-06 5.096375e-06 4.3683212e-06 5.581744e-06 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0003414571 8.7366425e-06 1.1406172e-05 1.019275e-05 8.251273e-06 1.0435434e-05 8.9793275e-06 1.0920803e-05 1.0678119e-05 9.222012e-06 1.1891541e-05 1.0920803e-05 1.0920803e-05 9.950065e-06 1.0920803e-05 1.21342255e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00025918707 1.0435434e-05 1.5774494e-05 1.0678119e-05 2.3540399e-05 2.6695297e-05 1.2619595e-05 2.1356238e-05 3.8586837e-05 5.3390595e-06 3.882952e-06 6.7951664e-06 1.504644e-05 9.222012e-06 1.7473285e-05 2.03855e-05 0.0003322351 5.314791e-05 5.8729653e-05 1.9172077e-05 9.950065e-06 4.3683212e-05 0.00043828823 7.935784e-05 4.6110057e-05 7.2805356e-06 0.0 0.0 5.751623e-05 9.2462804e-05 0.00011357635 0.0001395436 0.005672993 0.00075620494 0.00054919504 0.0006443274 0.0014342655 0.0013575772 0.00068388495 0.0011561491 0.0034419945 0.00032810945 0.0002259393 0.0005547768 0.0012444862 0.00047444823 0.0013063707 0.0020380646 0.0034225797 0.00075062324 0.000398488 0.00064602616 0.001173137 0.0012854999 0.00070014485 0.0009481684 0.0020805344 0.00019560372 0.00032374114 0.0003776171 0.00091928896 0.00033903026 0.000983843 0.0018572647 0.057422556 0.057034504 0.05736407 0.057375718 0.057331063 0.057148565 0.057689507 0.057065323 0.057390034 0.057189092 0.05694301 0.057324268 0.057113376 0.05713109 0.057183754 0.057298057 9015.0 5.6320577 50773.0 0.010005318 0.010537096 0.011068875 0.010044709 0.010517401 0.010674965 0.010202273 0.010438619 0.010418924 0.009375062 0.011009789 0.009926536 0.0108325295 0.0100841 0.011147657 0.01026136 0.009887145 0.01026136 0.01069466 0.010537096 0.010537096 0.010025013 0.009375062 0.01026136 0.0105764875 0.01065527 0.01047801 0.009965926 0.009847754 0.00969019 0.010103796 0.010556792 0.010497705 0.010221968 0.009965926 0.0107340515 0.009256888 0.009867449 0.010773443 0.0108325295 0.010103796 0.010615879 0.009572017 0.011049179 0.011285526 0.009926536 0.010143186 0.01087192 0.0099068405 0.010359837 0.0116597405 0.0100841 0.010300751 0.010340141 0.010340141 0.01069466 0.010340141 0.010281055 0.010773443 0.010458315 0.009946232 0.01069466 0.010182577 0.010931007 0.010340141 0.011068875 0.010281055 0.010103796 0.01126583 0.010399228 0.010793138 0.011127962 0.0103204455 0.010458315 0.011226439 0.0096507985 0.010162882 0.01065527 0.012565734 0.01069466 0.010497705 0.009434148 0.010990093 0.011561262 0.010990093 0.010596183 0.010852224 0.010182577 0.009414452 0.010812834 0.010596183 0.010418924 0.009335671 0.009729581 0.010399228 0.010064404 6.58303 1.0 0.0 0.0 34.0 2061938.0 352256.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1442778200.0 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 9.0 0.0 5.0 0.0 5.0 0.0 166400.0 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 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 -166400.0 0.0 14848.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 7.991176 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7.9657164 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7.5911202 0.0 7.987367 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 20643.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -136232.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -166372.0 0.0 14632.0 0.0 0.0 0.0 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 51.0 192624.0 220.0 187380.0 14632.0 335872.0 0.0 0.0 0.0 0.0 0.0 0.0 28.0 173056.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 183424.0 0.0 0.0 916.0 172032.0 0.0 0.0 0.0 0.0


Input: 0.3866702 0.046621058 0.0082046185 0.0027373626 0.005941533 0.0019307182 0.0022854924 0.0022966957 0.0061506634 0.0015647407 0.002700018 0.0011987631 0.003417035 0.0018186843 0.0010195088 0.002315368 0.0037307302 0.002307899 0.0011912942 0.0010568534 0.0018112153 0.0026626734 0.0012249044 0.00094481953 0.0013929553 0.0011502152 0.00075436186 0.0007917065 0.0011950287 0.0013444072 0.0008029099 0.0005564352 0.0033871594 0.0005601697 0.0008215822 0.00050415273 0.00096722634 0.0039174533 0.0011726219 0.0005713731 0.001743995 0.0012024976 0.00083652005 0.0011763563 0.000948554 0.00064979686 0.001968063 0.0005414974 0.0016132888 0.0015049892 0.0007020793 0.0028979445 0.00078797207 0.00084025454 0.000690876 0.00076556526 0.00075062737 0.0010269778 0.000900006 0.0013705485 0.0011464807 0.00074315845 0.00081784773 0.0007805031 0.0029913061 0.0013369384 0.0008103788 0.0017888085 0.003062261 0.005941533 0.0021174415 0.0010307123 0.001583413 0.001157684 0.0004219945 0.00048174593 0.0012473111 0.004981776 0.0019381872 0.001004571 0.0060236915 0.0022070685 0.0015460683 0.0033124702 0.001374283 0.00327886 0.0042610243 0.0037904815 0.0013220005 0.0013854863 0.0008066444 0.001527396 0.0011614185 0.0024983569 0.0028269896 0.0021249105 0.00097469526 0.0017327915 0.0010755258 0.00163943 0.00247595 0.004317041 0.0019381872 0.0010456501 0.0035626793 0.001792543 0.004249821 0.00047054255 0.0021286448 0.0010904637 0.0019381872 0.0024946223 0.0019792663 0.00072075165 0.0022854924 0.0018373566 0.005310409 0.006090912 0.0016581023 0.0012024976 0.0012734524 0.00089253706 0.0005489663 0.00041452557 0.00093361613 0.0013107971 0.0010605879 0.0006796726 0.009601309 0.0013369384 0.0005937799 0.004126583 0.0017962775 0.0031518883 0.0012510456 0.000739424 0.03579858 0.0073158164 0.004485092 0.018930001 0.0008888026 0.006807929 0.0013630796 0.0011166049 0.0013705485 0.00038838433 0.0004556047 0.0009784297 0.00084025454 0.00073568954 0.00061992113 0.00048174593 0.0008775992 0.0007917065 0.0005975143 0.00053402846 0.0007692997 0.00048921484 0.000683407 0.00044066683 0.0016767746 0.0008327856 0.0005639042 0.0007170172 0.0007282206 0.0010008365 0.00060498324 0.00082905113 0.00268508 0.0005639042 0.0054597873 0.00042946343 0.0011427462 0.00047801147 0.00060498324 0.0004219945 0.0013294694 0.00047054255 0.00044813575 0.00040705665 0.0007618308 0.0006572658 0.000683407 0.0007095483 0.002386323 0.0007692997 0.0010941981 0.0006124522 0.00063485897 0.00051162165 0.00096349185 0.0008103788 0.0041489904 0.0013070626 0.0029688994 0.0019830007 0.0009522885 0.0010755258 0.0021547861 0.0015684752 0.0012473111 0.0016431644 0.00048921484 0.0008551924 0.03762473 0.00047801147 0.0023975263 0.0010232433 0.0012024976 0.00062739005 0.00051162165 0.00063859345 0.0010643224 0.00033236734 0.0009186783 0.000948554 0.0013220005 0.00053029397 0.0005414974 0.0007020793 0.001109136 0.00094481953 0.0003585086 0.00051909056 0.0013630796 0.0011688875 0.00060871773 0.00035103966 0.0015535373 0.0007842376 0.00047054255 0.0004556047 0.010777665 0.0028269896 0.000578842 0.0021211759 0.0042423517 0.00073568954 0.0012622491 0.0005676386 0.0034767867 0.0021286448 0.0008327856 0.0007618308 0.001968063 0.0009410851 0.0014452378 0.0012734524 0.0030249164 0.0010269778 0.0011016671 0.0016954469 0.005258126 0.0016805091 0.001687978 0.054724846 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 0.010755333 2.6292068e-05 5.6340145e-05 4.5072116e-05 8.075421e-05 4.319411e-05 0.00013146034 6.573017e-05 8.075421e-05 3.7560098e-05 4.8828126e-05 3.1926083e-05 3.3804088e-05 2.4414063e-05 5.821815e-05 1.8780049e-05 0.0033409705 3.7560098e-05 1.8780049e-05 1.50240385e-05 1.50240385e-05 1.8780049e-05 1.6902044e-05 1.6902044e-05 0.00022160457 3.3804088e-05 2.2536058e-05 1.6902044e-05 1.50240385e-05 1.6902044e-05 2.0658053e-05 1.8780049e-05 0.00068359374 9.390024e-06 1.1268029e-05 1.8780049e-05 0.00021972656 3.7560096e-06 7.5120192e-06 0.0 0.008728966 5.6340145e-06 0.0016864483 9.577825e-05 1.6902044e-05 5.6340145e-06 3.7560096e-06 4.1316107e-05 0.003983248 7.8876204e-05 4.319411e-05 0.00010892428 0.00028545674 7.69982e-05 3.9438102e-05 5.2584135e-05 0.005455604 1.8780049e-05 0.0010742188 5.2584135e-05 3.7560098e-05 1.6902044e-05 0.00017841045 3.5682093e-05 0.026680814 0.00060096156 0.0004957933 0.0003624549 0.0010084886 0.00041879507 0.000766226 0.0011268029 0.0052865837 0.00044133113 0.0009540264 0.0001915565 0.0001539964 0.00029672476 0.0005502554 0.0029728815 0.008691406 0.000103290266 0.00017653246 0.00017277645 0.0005784255 0.00020658053 0.00044884314 0.00027794472 0.0057110125 3.9438102e-05 0.001536208 0.000114558294 0.00013521635 4.8828126e-05 0.00020282452 0.000786884 0.025585938 0.0009089543 0.0012657753 0.0011268029 0.0018122747 0.00069673976 0.0012038011 0.0011493389 0.01169058 0.0006666917 0.0026047926 0.00053147535 0.0004939153 0.00022348257 0.0005690355 0.0033165566 0.057205904 0.003985126 0.0059138373 0.0018873948 0.003970102 0.003156926 0.0073110727 0.0044809193 0.009410682 0.0022066557 0.0016995943 0.001164363 0.014554537 0.00087327225 0.0017747146 0.007327975 0.025170898 0.0022705079 0.0035851111 0.0013521635 0.0035513071 0.0026648887 0.006595553 0.0031907302 0.0048414962 0.0006554237 0.0007155198 0.00044133113 0.00037372296 0.0003511869 0.0008544922 0.0010779748 0.015183669 0.0012714092 0.0008770283 0.0014723558 0.0009784405 0.0012714092 0.001179387 0.0009652945 0.002740009 0.00076434796 0.00089393026 0.0010779748 0.0016094501 0.00095027045 0.0012995793 0.005926983 0.02517841 0.0022967998 0.0029691255 0.0024676984 0.002736253 0.0042236326 0.004458383 0.0030517578 0.0040884167 0.002003831 0.00231558 0.0022291916 0.0068979114 0.0024770882 0.003504357 0.013716947 0.06783166 0.009669847 0.0045335037 0.0067326473 0.01398738 0.022686299 0.009288612 0.011713116 0.03602952 0.0036020132 0.004358849 0.0063626803 0.03313176 0.0059758113 0.018103966 0.042146184 0.0068040113 0.0013953575 0.0005953275 0.0010047326 0.002323092 0.0033522386 0.0012638973 0.0018573467 0.005021785 0.00040001504 0.0005821815 0.0006929838 0.004193585 0.00075495796 0.0025015024 0.0057185246 0.00024789665 0.00018028847 0.00025540867 0.0003117488 0.00028545674 0.00045447715 0.00017653246 0.00020094651 0.00029109075 0.00013709435 0.00016714243 0.0001539964 0.00033991886 0.00020658053 0.0002328726 0.00020470252 773.0 11.571798 8945.0 0.016433762 0.0015651202 0.004248183 0.00044717718 0.0014533259 0.001117943 0.0015651202 0.0019005031 0.004359978 0.0015651202 0.0013415316 0.002235886 0.0017887087 0.0016769145 0.017551705 0.0019005031 0.0046953605 0.01039687 0.0048071546 0.013191727 0.0024594746 0.0013415316 0.0016769145 0.007154835 0.0017887087 0.0039128005 0.0035774175 0.0032420347 0.005925098 0.0040245946 0.009502515 0.011738401 0.02705422 0.019675797 0.007043041 0.025153717 0.04371157 0.011514813 0.011067635 0.01196199 0.005142538 0.010955841 0.0020122973 0.004136389 0.0065958635 0.0069312467 0.008049189 0.009278927 0.013750698 0.006036892 0.010732253 0.01900503 0.0076020123 0.0046953605 0.016433762 0.022806037 0.006036892 0.0014533259 0.0034656234 0.0064840694 0.0024594746 0.0027948574 0.0040245946 0.0073784236 0.0036892118 0.030296255 0.009055338 0.020681946 0.022806037 0.06987143 0.0062604807 0.012297373 0.008608161 0.029849079 0.004471772 0.0035774175 0.029178312 0.017998882 0.026495248 0.039351594 0.014868641 0.0005589715 0.03152599 0.022358859 0.047512576 0.01274455 0.0039128005 0.012632756 0.008608161 0.007713807 0.0026830633 0.0007825601 0.0007825601 0.000111794296 0.00044717718 0.002235886 5.880021 0.0 0.0 0.0 2.0 267776.0 286720.0 1.0 1.0 247.0 0.0 1.0 0.0 0.0 0.0 1278939300.0 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 -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 5.0 1.0 7.0 10.0 5.0 1.0 4.0 0.0 140800.0 1024.0 4096.0 4.0 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 0.0 0.0 0.0 -57856.0 0.0 0.0 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 -140800.0 0.0 62464.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -0.5903848 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3.4193397 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.0081267 0.0 5.326115 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -61440.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -8196.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -140681.0 0.0 62312.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 -1.0 0.0 1.0 0.0 3.0 -1.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 1.0 1.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 -2.0 -2.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 -1.0 -1.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 2.0 0.0 1.0 3.0 -1.0 1.0 -1.0 1.0 1.0 1.0 2.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 2.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 -1.0 -1.0 -1.0 -3.0 -1.0 -1.0 1.0 0.0 2.0 -1.0 -2.0 -1.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 -2.0 2.0 1.0 -1.0 0.0 1.0 0.0 0.0 1.0 -2.0 1.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 1.0 -1.0 -1.0 0.0 -1.0 0.0 0.0 1.0 2.0 0.0 1.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 -1.0 0.0 0.0 2.0 1.0 1.0 1.0 1.0 -1.0 -1.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 2.0 -2.0 -1.0 -1.0 1.0 -1.0 0.0 0.0 1.0 1.0 -1.0 2.0 1.0 2.0 -1.0 1.0 0.0 0.0 -1.0 -1.0 0.0 -1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 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 -2.0 1.0 1.0 0.0 -1.0 -1.0 1.0 2.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 1.0 -1.0 0.0 -1.0 -1.0 0.0 -1.0 -1.0 1.0 1.0 -1.0 1.0 0.0 0.0 0.0 -3.0 1.0 -1.0 -1.0 1.0 1.0 1.0 1.0 -1.0 0.0 -2.0 -1.0 1.0 -3.0 0.0 0.0 0.0 1.0 0.0 -1.0 -1.0 1.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 2.0 -1.0 0.0 -2.0 1.0 2.0 0.0 1.0 3.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 -2.0 -2.0 -1.0 -1.0 2.0 -1.0 -1.0 -2.0 1.0 0.0 2.0 0.0 0.0 0.0 -1.0 -1.0 -1.0 0.0 0.0 1.0 -2.0 0.0 -2.0 0.0 -1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 1.0 0.0 2.0 0.0 1.0 -1.0 3.0 1.0 0.0 0.0 -1.0 -2.0 -2.0 -1.0 0.0 0.0 -2.0 0.0 -1.0 1.0 0.0 1.0 0.0 -3.0 0.0 0.0 0.0 1.0 1.0 -2.0 0.0 1.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 -2.0 1.0 0.0 0.0 -1.0 -1.0 0.0 0.0 -1.0 -1.0 0.0 -1.0 1.0 0.0 0.0 0.0 1.0 -2.0 -1.0 0.0 0.0 0.0 -1.0 -1.0 1.0 1.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 1.0 -1.0 0.0 0.0 0.0 1.0 0.0 -1.0 -1.0 0.0 0.0 -1.0 -2.0 0.0 0.0 0.0 2.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 2.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -2.0 -1.0 -1.0 1.0 1.0 0.0 -1.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 1.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 1.0 1.0 1.0 -1.0 0.0 -1.0 0.0 -1.0 -2.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 1.0 -1.0 -1.0 -2.0 0.0 0.0 -1.0 -1.0 2.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 -1.0 1.0 0.0 1.0 -1.0 -1.0 1.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 -2.0 -1.0 1.0 -2.0 1.0 0.0 1.0 1.0 0.0 1.0 -1.0 0.0 -1.0 0.0 1.0 0.0 0.0 -1.0 -1.0 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 0.0 0.0 1.0 0.0 1.0 -1.0 1.0 1.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 1.0 0.0 -1.0 -1.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 -1.0 1.0 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 0.0 0.0 1.0 1.0 0.0 -2.0 0.0 2.0 -2.0 0.0 -2.0 0.0 -1.0 0.0 1.0 -1.0 -2.0 0.0 1.0 0.0 -1.0 2.0 0.0 0.0 1.0 -1.0 1.0 -2.0 1.0 0.0 0.0 -1.0 -1.0 -2.0 1.0 -1.0 0.0 0.0 -2.0 -1.0 -1.0 0.0 1.0 0.0 0.0 -1.0 -1.0 1.0 1.0 0.0 -1.0 -2.0 0.0 0.0 1.0 0.0 0.0 -1.0 2.0 -1.0 1.0 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 1.0 -1.0 1.0 0.0 0.0 -1.0 -1.0 0.0 1.0 0.0 1.0 1.0 0.0 1.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 -1.0 -1.0 0.0 -1.0 -2.0 1.0 1.0 -2.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 -1.0 1.0 0.0 0.0 -1.0 1.0 0.0 0.0 1.0 -2.0 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 -1.0 0.0 1.0 0.0 1.0 1.0 -2.0 1.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 3.0 0.0 0.0 -1.0 -1.0 -1.0 0.0 1.0 -1.0 -1.0 0.0 -1.0 1.0 -1.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 -1.0 -1.0 0.0 -1.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 -2.0 0.0 -1.0 0.0 1.0 1.0 0.0 -1.0 0.0 -1.0 0.0 -2.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 1.0 0.0 0.0 2.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 -2.0 -2.0 -1.0 0.0 -1.0 -1.0 -1.0 1.0 0.0 0.0 -1.0 1.0 0.0 -1.0 0.0 1.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 1.0 0.0 -2.0 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 -1.0 1.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 3.0 -2.0 -1.0 0.0 1.0 1.0 -2.0 1.0 -1.0 -1.0 0.0 0.0 -1.0 1.0 1.0 1.0 0.0 -1.0 -1.0 -3.0 1.0 1.0 0.0 0.0 -1.0 2.0 -1.0 -1.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 -1.0 1.0 0.0 1.0 -1.0 -3.0 1.0 2.0 -1.0 1.0 1.0 1.0 1.0 -1.0 0.0 1.0 1.0 -2.0 3.0 -2.0 0.0 -1.0 -1.0 1.0 0.0 -1.0 0.0 0.0 0.0 -2.0 0.0 -3.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 -1.0 0.0 0.0 0.0 1.0 1.0 -2.0 1.0 1.0 -1.0 0.0 -1.0 -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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 89.0 144688.0 220.0 136364.0 62312.0 159744.0 0.0 0.0 0.0 0.0 0.0 0.0 28.0 8000.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 28520.0 0.0 0.0 3904.0 4096.0 0.0 0.0 0.0 0.0


Input: 0.14264141 0.008642745 0.004191893 0.0034287123 0.006249868 0.0039540995 0.0020318294 0.0019633549 0.007894504 0.0015126672 0.0017043962 0.0015076873 0.0045803315 0.0013744729 0.0012325436 0.003895585 0.006172678 0.0015076873 0.0011889689 0.00089764036 0.0024750473 0.0019857648 0.00076940603 0.00082792074 0.002311953 0.0007569561 0.0008329007 0.00071338133 0.0016209816 0.0006063119 0.0005963519 0.00056771707 0.0038980749 0.00058888196 0.0006548666 0.0005453072 0.0041732183 0.0013234281 0.0004668726 0.00056398206 0.0011889689 0.00065611163 0.00058639195 0.0009474401 0.0011105343 0.002353038 0.00067976647 0.00052040734 0.005634841 0.002707861 0.0032083485 0.010125533 0.003317908 0.0019098201 0.0027439657 0.0015948367 0.0038134153 0.0019546398 0.0007183613 0.0014902573 0.0016757613 0.000981055 0.0004681176 0.00053161226 0.011838644 0.0039503644 0.0049289297 0.008876804 0.003890605 0.03274333 0.0032867831 0.002724046 0.0034025675 0.0035681515 0.0022011485 0.0023679778 0.0027252908 0.004412257 0.0011665589 0.001540057 0.009110863 0.0021563289 0.0020679343 0.009811794 0.0032232883 0.013916538 0.0032407183 0.0021077741 0.00193721 0.0065511563 0.0027576608 0.003278068 0.0015749169 0.004663746 0.0023916326 0.0036254213 0.005797935 0.004443382 0.0017205811 0.0033042128 0.009326247 0.0061813933 0.0039677946 0.0015587319 0.007899485 0.0042765527 0.003678956 0.0014143127 0.0035594366 0.0017541959 0.004406032 0.004083579 0.0032145735 0.001726806 0.0049251947 0.00388438 0.010266217 0.005596246 0.0017168461 0.0011316992 0.0028672202 0.0012711384 0.00053410226 0.0005938619 0.0016633114 0.002533562 0.0010694495 0.0008802104 0.005276283 0.001165314 0.0010955944 0.009119578 0.0031411187 0.0032469432 0.0010408147 0.00062249677 0.0026792262 0.015283541 0.0022472134 0.05205069 0.0012039088 0.011069238 0.00086278055 0.0006847465 0.0026730013 0.0004469527 0.0007320562 0.0006498867 0.0011304541 0.00094246014 0.0015213821 0.000571452 0.0011814989 0.0005926169 0.0005029774 0.0007171163 0.00096238 0.00047932254 0.0004681176 0.0004220528 0.0009026203 0.0033502777 0.00046936257 0.0025671767 0.0014329876 0.0008229407 0.00056771707 0.00045566764 0.0010532646 0.00046064763 0.0005129374 0.0004905275 0.0008528206 0.00045317766 0.00074699614 0.0006623366 0.0013333882 0.00068972644 0.001741746 0.0005403272 0.00088394544 0.0006747865 0.0007171163 0.0015898568 0.0031709985 0.0025509917 0.004681176 0.00082916574 0.0010071998 0.0004830575 0.00085904554 0.0007196063 0.012075192 0.001156599 0.002301993 0.010416862 0.0043861126 0.0010657145 0.0035806014 0.0033901175 0.0018824303 0.0017766058 0.0009897699 0.0013109782 0.0016931912 0.00089888537 0.0009984848 0.0009486851 0.002893365 0.001157844 0.0029942095 0.001362023 0.0018251606 0.000773141 0.0016147566 0.00088145543 0.0033901175 0.0006586016 0.0010931044 0.0017990157 0.0015064422 0.00072334125 0.00056647207 0.0008478406 0.0024551274 0.0006623366 0.00088394544 0.0009972398 0.0024489025 0.0024476573 0.00055402215 0.0006984414 0.027790746 0.0060656085 0.0011005743 0.0059386194 0.006576056 0.0010495295 0.0006847465 0.00075944606 0.0072906823 0.000983545 0.0018288955 0.0009250302 0.009198013 0.0021849638 0.0041234186 0.0026107514 0.010134248 0.003073889 0.0030938091 0.0036366263 0.014987232 0.004022574 0.0043300875 0.069389716 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0017872466 0.0 0.0 0.0005207086 0.00024632324 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.010367402 0.0 0.0 0.0044257115 0.0030868354 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0012353578 0.0 0.0 0.00076703186 0.0005518888 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0005543832 3.7416187e-06 1.808449e-05 6.734914e-05 0.00014966475 7.607958e-05 6.2360314e-06 7.4832374e-06 1.5590078e-05 0.0 0.0 1.8708093e-06 8.106841e-06 3.1180157e-06 4.988825e-06 0.00036044262 0.0061306423 0.00020703624 0.00021451947 0.0005537596 0.0019213213 0.0004907757 0.002460738 0.0010707265 0.00019581139 0.00010102371 9.291687e-05 7.545598e-05 0.0006753622 0.0003822687 0.00040284763 0.0029047434 0.013396866 0.0006448056 0.0009509948 0.0020928122 0.0041519497 0.0036287466 0.007004934 0.003227146 0.0004564775 0.0002369692 0.00031242517 0.00033238047 0.0020940593 0.0011106372 0.0011280981 0.009039127 0.02088634 0.0013101902 0.0012403466 0.0020896941 0.0073572695 0.0025754808 0.0067286775 0.00327454 0.0024052372 0.0009803041 0.0009821749 0.0013432412 0.004080859 0.0026646561 0.0026889767 0.009634668 0.020338193 0.0015708563 0.0012584311 0.0022805165 0.009481262 0.0040671397 0.005919241 0.0034273227 0.005845032 0.0014218151 0.0017891173 0.0023185564 0.0038850475 0.0017828813 0.0040683867 0.009728832 0.0744763 0.009878498 0.00732609 0.010144152 0.04232519 0.03079477 0.021437604 0.0140398005 0.051796477 0.0053243237 0.0060932264 0.009200017 0.016892785 0.007117806 0.027613146 0.06145297 0.06063605 0.010193417 0.009175696 0.011744942 0.028296616 0.030798512 0.017782044 0.014702068 0.050133325 0.005922359 0.0065235123 0.009208124 0.021231815 0.011006596 0.02524096 0.04883436 0.00023509839 4.8017442e-05 8.668083e-05 5.2382664e-05 9.104606e-05 9.97765e-05 4.365222e-05 6.610193e-05 0.00013532188 2.9309347e-05 3.367457e-05 2.9309347e-05 8.4810024e-05 6.0489503e-05 7.358517e-05 0.000107883345 5347.0 15.549841 83145.0 0.005628721 0.000132299 0.0005773047 9.621745e-05 0.0034638282 0.0005893319 0.000132299 0.00018040772 0.00040892416 0.00042095134 0.0007577124 0.00060135906 0.0005171688 0.014733297 0.0011666366 0.00048108725 0.025040591 0.017234951 0.02607493 0.012099344 0.021396356 0.014228156 0.02249083 0.01105298 0.02466775 0.014131938 0.0008539299 0.000529196 0.0009862289 0.0005532504 0.00012027181 0.00014432617 0.0014071802 0.008815924 0.0076492876 0.014997895 0.0073726624 0.016669674 0.0048830356 0.003175176 0.0050874976 0.018185098 0.0025377353 0.004125323 0.0070479284 0.006891575 0.004582356 0.009525527 0.013338144 0.0027061158 0.006181971 0.021155812 0.013506525 0.0064706234 0.006097781 0.0036081544 0.0028744964 0.0055325036 0.0015755608 0.0030909856 0.0012027181 0.0028865235 0.0030067954 0.022935836 0.000264598 0.03158338 0.012820976 0.027758734 0.026724396 0.054422997 0.01160623 0.010319321 0.01907511 0.035708703 0.0070960373 0.0070719826 0.024812074 0.01207529 0.038270492 0.035167478 0.019363763 0.0028143604 0.0395574 0.029262133 0.042395815 0.011269469 0.009982561 0.0060015637 0.014204102 0.0069036023 0.0010824463 0.00030067953 0.0005652775 0.000264598 0.00031270672 0.0003247339 5.7728367 0.0 2.0 14.0 4.0 803217.0 3952640.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 708992500.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 2.0 -1.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 25.0 4.0 0.0 4.0 0.0 1267200.0 1024.0 4096.0 8.0 2.0 0.0 1.0 4.0 0.0 0.0 0.0 0.0 0.0 -84992.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 512.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -859648.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1267200.0 0.0 0.0 0.0 0.0 0.0 0.0 -12800.0 1672192.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.576725 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -48.0 0.0 0.0 -84528.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 24.0 0.0 31073.0 0.0 0.0 0.0 0.0 0.0 -859536.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1266868.0 0.0 0.0 0.0 0.0 0.0 0.0 -12546.0 1672153.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 12546.0 2166784.0 1672153.0 2277376.0 0.0 0.0 8384.0 3898368.0 84528.0 2191360.0 0.0 0.0 0.0 0.0 0.0 0.0 24.0 2187264.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0


Input: 0.64564735 0.021763394 0.0078125 0.0041852677 0.004464286 0.0013950893 0.005301339 0.0011160715 0.003627232 0.0013950893 0.0066964286 0.0011160715 0.001953125 0.0011160715 0.003627232 0.0 0.002232143 0.0011160715 0.0013950893 0.00027901787 0.0008370536 0.00027901787 0.00055803574 0.00027901787 0.00055803574 0.0008370536 0.0 0.00055803574 0.00055803574 0.00027901787 0.0008370536 0.0011160715 0.008370535 0.0011160715 0.0 0.001953125 0.00055803574 0.001953125 0.00055803574 0.0 0.0013950893 0.0008370536 0.00027901787 0.00027901787 0.0008370536 0.0 0.008649553 0.00027901787 0.0069754464 0.00055803574 0.00055803574 0.00027901787 0.002232143 0.00055803574 0.0 0.0008370536 0.00027901787 0.0011160715 0.00027901787 0.0 0.0027901786 0.0 0.00027901787 0.00027901787 0.003627232 0.0025111607 0.0016741072 0.002232143 0.002232143 0.0013950893 0.0030691964 0.0016741072 0.0008370536 0.0033482143 0.00027901787 0.00027901787 0.001953125 0.0016741072 0.0013950893 0.0016741072 0.0016741072 0.00055803574 0.0013950893 0.0061383927 0.001953125 0.0008370536 0.001953125 0.0011160715 0.00055803574 0.0 0.0013950893 0.00027901787 0.0027901786 0.0 0.0 0.001953125 0.0011160715 0.010044643 0.004464286 0.0047433036 0.0027901786 0.02064732 0.0011160715 0.0050223214 0.0025111607 0.013950893 0.0016741072 0.0 0.009486607 0.0066964286 0.01032366 0.013392857 0.005859375 0.0 0.01171875 0.01171875 0.013950893 0.0027901786 0.00055803574 0.00055803574 0.0027901786 0.0027901786 0.00055803574 0.0 0.00027901787 0.0 0.00055803574 0.0 0.0013950893 0.00027901787 0.00055803574 0.0 0.0 0.00027901787 0.00027901787 0.0 0.00027901787 0.00027901787 0.0 0.0 0.0 0.0 0.00027901787 0.0 0.0008370536 0.0 0.0 0.0 0.00055803574 0.0 0.00027901787 0.0 0.00055803574 0.0 0.0 0.0 0.00027901787 0.0 0.0 0.0 0.00027901787 0.0 0.0 0.0 0.0 0.0 0.0008370536 0.0 0.00027901787 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00055803574 0.0 0.0 0.0 0.00027901787 0.0 0.0 0.00027901787 0.00055803574 0.0 0.00027901787 0.00027901787 0.0 0.00027901787 0.0 0.0 0.0 0.0 0.0 0.0 0.00027901787 0.0 0.0 0.0 0.0 0.00027901787 0.0 0.0 0.0 0.00055803574 0.0 0.0 0.00055803574 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0011160715 0.0 0.0 0.0 0.00027901787 0.0 0.0008370536 0.0 0.00055803574 0.0 0.0 0.00027901787 0.00027901787 0.0 0.0 0.0 0.0 0.0 0.0 0.00027901787 0.0 0.0 0.0 0.00027901787 0.0 0.0 0.0 0.00055803574 0.00055803574 0.0 0.00027901787 0.0 0.0 0.0 0.00027901787 0.0 0.0 0.0 0.00027901787 0.0008370536 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.3071289 0.005126953 0.0126953125 0.011230469 0.018798828 0.016357422 0.08276367 0.040527344 0.0014648438 0.00048828125 0.00048828125 0.0007324219 0.00024414062 0.00024414062 0.0007324219 0.0009765625 0.30297852 0.009765625 0.01928711 0.0075683594 0.01953125 0.015625 0.0715332 0.03955078 0.0026855469 0.0017089844 0.0012207031 0.0017089844 0.0009765625 0.0024414062 0.0012207031 0.0021972656 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 42.0 11.714286 492.0 0.014227643 0.0020325202 0.0 0.0060975607 0.0 0.0 0.0 0.0 0.0 0.0 0.0020325202 0.0 0.0 0.0 0.032520324 0.0 0.0040650405 0.0 0.0040650405 0.0 0.0 0.0020325202 0.0 0.0040650405 0.0 0.0 0.0 0.0 0.0020325202 0.0 0.0020325202 0.0 0.0020325202 0.008130081 0.0060975607 0.008130081 0.010162601 0.0060975607 0.008130081 0.0060975607 0.0 0.010162601 0.0020325202 0.0 0.0 0.0060975607 0.0040650405 0.0060975607 0.0060975607 0.0 0.0060975607 0.034552846 0.010162601 0.0020325202 0.0 0.0040650405 0.0 0.0 0.0040650405 0.0 0.0 0.0 0.0 0.010162601 0.0020325202 0.040650405 0.022357723 0.028455285 0.014227643 0.09756097 0.0040650405 0.020325202 0.010162601 0.06300813 0.0060975607 0.0 0.036585364 0.040650405 0.040650405 0.06097561 0.024390243 0.0 0.05691057 0.05894309 0.085365854 0.016260162 0.0040650405 0.0040650405 0.0121951215 0.014227643 0.0 0.0 0.0 0.0 0.0 0.0 4.983992 0.0 0.0 0.0 1.0 3584.0 32768.0 0.0 0.0 1.0 1.0 1.0 0.0 0.0 0.0 1462633000.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 8.0 0.0 4.0 0.0 4.0 0.0 1536.0 512.0 4096.0 3.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -512.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1536.0 0.0 1024.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.5849625 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.636948 0.0 3.0063498 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -12.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1428.0 0.0 664.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 87.0 9524.0 664.0 16384.0 0.0 0.0 0.0 0.0 12.0 24576.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 8.0 8192.0 0.0 0.0 72.0 8200.0


Input: 0.3564102 0.021004695 0.010133064 0.0034415338 0.0069106487 0.0034614536 0.004000821 0.003037008 0.0031166873 0.0016395553 0.008816823 0.0020471457 0.0021712615 0.0015935864 0.0022371502 0.0020302904 0.0015935864 0.0031534624 0.0020410165 0.0020624686 0.0016855241 0.0012396263 0.00209005 0.0020210966 0.0028040991 0.0025987718 0.0017115731 0.0015460853 0.0015522145 0.00117527 0.001585925 0.0034200817 0.0077304263 0.0011093813 0.0016594752 0.0016870564 0.0013897913 0.0017069762 0.0015874573 0.0020839206 0.0029603932 0.001294789 0.0024409455 0.0016472167 0.0046535786 0.0017789941 0.010229599 0.0016732657 0.0057966704 0.0030308787 0.00263095 0.0031549947 0.0017575419 0.00279797 0.0022586023 0.0028623263 0.001820366 0.0026462728 0.0019460142 0.0012932566 0.0012488201 0.0036024246 0.002995636 0.002231021 0.001887787 0.0028378097 0.0017927848 0.003125881 0.0033266116 0.0019981123 0.0030875737 0.0018785932 0.0014296309 0.0028577296 0.0011875284 0.0019199651 0.0015706021 0.0016885886 0.002263199 0.002235618 0.0045493827 0.0012488201 0.0016855241 0.005133187 0.0029757163 0.0014280987 0.0028470035 0.0022371502 0.00087340793 0.00090865075 0.0012181742 0.0011032522 0.0008596173 0.001055751 0.0013913235 0.002137551 0.0009423612 0.01240699 0.005343111 0.0063253124 0.005505535 0.022687154 0.0036499258 0.00462753 0.0025451414 0.011354303 0.0011277689 0.0035242776 0.008490444 0.0072952546 0.012704255 0.015471579 0.006115388 0.00093010283 0.0133570125 0.0101805655 0.014847935 0.007520502 0.0026508698 0.0035717788 0.0024057026 0.004616804 0.0014771321 0.004310345 0.0011722054 0.0012488201 0.0013392256 0.0019230298 0.0020640008 0.001518504 0.0012733368 0.0010940584 0.00087953714 0.00094082893 0.0016012479 0.0011568825 0.0014020496 0.00089332776 0.0009944593 0.000977604 0.0011293011 0.00088873086 0.0012901921 0.0017544774 0.00079066405 0.001264143 0.0011875284 0.00080445467 0.0009714748 0.00088873086 0.0012243034 0.0007937286 0.00058227195 0.0022815866 0.0012718046 0.00069106487 0.00078453484 0.00076614734 0.0013193057 0.0010925261 0.0007508244 0.0005807397 0.0013131765 0.00079526094 0.00075235666 0.00081364845 0.0007692119 0.0008029224 0.0008243745 0.00075542124 0.0007875994 0.0006971941 0.0006634836 0.0008488912 0.0009898624 0.0008626819 0.00064356375 0.0006404992 0.0009898624 0.0011308334 0.000910183 0.0010787355 0.00088873086 0.0007431629 0.0006634836 0.00089332776 0.00092550594 0.00073396915 0.00085042353 0.0007492921 0.0013147088 0.0010940584 0.0014051142 0.00084276206 0.0012105127 0.0011323658 0.00087953714 0.0008259068 0.0012151096 0.00094542577 0.00073243683 0.0007722765 0.0011063167 0.00081211614 0.0010205082 0.00081824535 0.0011139782 0.0009132476 0.00090865075 0.0010419603 0.0013438225 0.0007722765 0.0007033232 0.00076308276 0.0010388958 0.0010955906 0.0008780048 0.00094542577 0.0011737377 0.00085042353 0.00073396915 0.0008871986 0.0010588156 0.00093163515 0.0011247043 0.0009990562 0.0011032522 0.0009147799 0.00072477537 0.0007492921 0.00089945697 0.0008488912 0.0008488912 0.00067267736 0.0011308334 0.00066195126 0.00060985325 0.000962281 0.0007707442 0.00083663285 0.0014051142 0.0013223703 0.00071864616 0.0006849357 0.001461809 0.0005102541 0.0010588156 0.00090405386 0.0015231009 0.00075848587 0.00073396915 0.0007492921 0.0012319649 0.0007446952 0.0146778505 0.04250432 0.13678785 0.0 1.5354756e-06 1.5354756e-06 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.5354756e-06 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.011566738 0.00019116672 0.00013742507 6.679319e-05 4.2993317e-05 4.1457843e-05 6.372224e-05 2.456761e-05 6.448998e-05 7.600604e-05 4.836748e-05 1.9961184e-05 2.8406299e-05 6.9096404e-06 6.1419023e-06 0.00019346992 0.006895053 0.00018732803 0.00012360579 8.061247e-05 2.9941775e-05 2.3799872e-05 8.445116e-05 4.7599744e-05 3.531594e-05 2.456761e-05 1.6122494e-05 1.9193445e-05 1.5354757e-05 1.8425708e-05 9.212854e-06 0.00025105025 0.0040106624 0.000113625196 8.368342e-05 4.2993317e-05 2.6870823e-05 2.9174036e-05 5.988355e-05 0.00010748329 4.6832007e-05 5.5277123e-05 3.3012726e-05 1.765797e-05 2.1496659e-05 1.6890232e-05 0.0 5.1438434e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.02655989 0.000737796 0.0019139703 0.0006518094 0.004052888 0.0034340913 0.024698125 0.011466932 0.00021496658 0.00018118613 0.00010748329 0.00012360579 0.00013435412 0.00010210913 8.214795e-05 0.001010343 0.0813518 0.0023769164 0.00597991 0.0036290966 0.004504318 0.0039638304 0.027439717 0.014615425 0.0010725297 0.0010587104 0.0007754152 0.0007769507 0.0010725297 0.00041534615 0.00047369424 0.0030095323 0.04852794 0.0039024113 0.007577572 0.007060117 0.003581497 0.004032159 0.021307027 0.01477972 0.0013588959 0.0009074661 0.00093664014 0.00070324785 0.0008360665 0.0012038129 0.0009566013 0.0018256805 0.046717614 0.004319293 0.009001726 0.0099974815 0.0055231056 0.005715808 0.029270004 0.01795662 0.002184214 0.0011423939 0.00057580334 0.0005481648 0.00084604707 0.00070555107 0.00088596944 0.009264292 0.01597816 0.0032321762 0.0030356352 0.002700134 0.0022709684 0.0013865345 0.003686677 0.002500522 0.0017373906 0.0010663879 0.00057580334 0.0006633255 0.0007738797 0.00058962265 0.00058731943 0.00952993 0.013549037 0.003247531 0.0031584734 0.0035269875 0.0027485015 0.0018187709 0.0048398194 0.003388027 0.0020536988 0.0017757775 0.00084144063 0.0011661937 0.0010065043 0.000866776 0.0008422084 0.011774027 0.019133562 0.004219487 0.004112004 0.0038217988 0.0034509816 0.0023392972 0.0031692218 0.0029097262 0.0026463922 0.002377684 0.0015239596 0.0018510158 0.001979228 0.0019892086 0.0016375848 0.013593566 0.014738263 0.004301635 0.0053196554 0.004822929 0.0036958898 0.003194557 0.0040505845 0.0038141215 0.003086306 0.002547354 0.0018356611 0.0024559933 0.003305879 0.0033834206 0.0023270133 0.012592436 0.006196412 0.005440958 0.005145379 0.0056113955 0.005153824 0.0056636017 0.005429442 0.006119638 0.0053242617 0.005493164 0.005725021 0.005905439 0.005719647 0.0058232914 0.006040561 0.007975261 4105.0 25.073568 102927.0 0.022656834 0.00044691868 0.0012824624 0.0017099498 0.0018751153 0.0023123184 0.0015836466 0.002428906 0.0010395717 0.00038862496 0.0015933623 0.0007286718 0.018207079 0.0013310404 0.04000894 0.0006606624 0.0262419 0.008481739 0.006635771 0.008744061 0.0039348276 0.011095243 0.0056739245 0.010191689 0.0039639743 0.008054252 0.00079668115 0.0016710872 0.0005343593 0.016370825 0.0008646905 0.0015544998 0.0004177718 0.0038862494 0.0024094747 0.01129927 0.01036657 0.0036822213 0.009161833 0.0031089997 0.0014767748 0.006373449 0.0004080562 0.0057905116 0.0019334091 0.0029049716 0.0026037872 0.0022054466 0.011950217 0.0022540246 0.002195731 0.019732432 0.008442877 0.0019139779 0.007306149 0.007228424 0.00037890932 0.00031089995 0.0006315155 0.0005732218 0.0001651656 0.00029146872 0.0006606624 0.007762783 0.00015544998 0.04091249 0.018012766 0.020393094 0.017682435 0.08916028 0.009560173 0.014175095 0.006528899 0.042690452 0.0005440749 0.009589321 0.03135232 0.027349481 0.047431674 0.041544005 0.007131268 0.00023317497 0.04666414 0.041048512 0.05620488 0.033071984 0.0051201335 0.013242395 0.0030604214 0.019839304 0.0024677685 0.0003594781 0.00021374373 0.0002040281 0.0008646905 0.00030118434 5.46544 0.0 14.0 0.0 2.0 652616.0 663552.0 0.0 0.0 1.0 1.0 1.0 1.0 0.0 0.0 1205220700.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 8.0 0.0 4.0 0.0 4.0 0.0 528384.0 4096.0 4096.0 4.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 -4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -528384.0 0.0 28672.0 -81920.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.9473388 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.183114 0.0 5.5374846 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -12.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -526324.0 0.0 26968.0 -81920.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 75.0 534432.0 26968.0 540672.0 0.0 0.0 5448.0 565248.0 12.0 573440.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 8.0 8192.0 0.0 0.0 72.0 8200.0


Input: 0.21437883 0.014570552 0.009739264 0.006499233 0.017772239 0.003815184 0.005463957 0.0037576687 0.00830138 0.002684049 0.0051763803 0.0024539877 0.005138037 0.0027607363 0.008454755 0.009087423 0.004773773 0.00095858896 0.0020322085 0.002779908 0.0042944783 0.0011694785 0.00076687115 0.00061349693 0.0024539877 0.00061349693 0.00078604295 0.0015145706 0.0039685583 0.0012078221 0.0009202454 0.0008243865 0.02177914 0.0008435583 0.0014953988 0.0008435583 0.032707054 0.0036618097 0.0018596626 0.0020513805 0.0052147238 0.0020322085 0.0009777608 0.0012653375 0.003546779 0.004256135 0.00431365 0.0033167177 0.010621166 0.007783742 0.005118865 0.002243098 0.0034125766 0.001993865 0.0033358897 0.0018404908 0.003930215 0.003815184 0.0024539877 0.001476227 0.0029332822 0.0015337423 0.0013228528 0.0008243865 0.019018404 0.006326687 0.0016104295 0.006154141 0.016315185 0.002243098 0.0016871166 0.0026457056 0.0024156442 0.0016296012 0.0005559816 0.0008819018 0.004064417 0.0018596626 0.0016871166 0.0011311349 0.0028182515 0.00051763805 0.001821319 0.002952454 0.00485046 0.004601227 0.0011886503 0.001821319 0.0013228528 0.0008435583 0.0007476994 0.0017254602 0.002952454 0.0010927914 0.0012845092 0.012135737 0.0023581288 0.0077645704 0.0024923312 0.006710123 0.0055981595 0.012998466 0.004486196 0.0027990798 0.0037576687 0.011407209 0.00069018407 0.0012078221 0.0070743863 0.0067484663 0.008454755 0.010640337 0.008339724 0.0004601227 0.009490031 0.00970092 0.016027607 0.004486196 0.0026457056 0.0019363497 0.0017062883 0.0023006136 0.0013420245 0.0008819018 0.0034892638 0.0007093558 0.00059432513 0.00051763805 0.0036618097 0.001476227 0.0019746933 0.0080904905 0.0040069018 0.005042178 0.002530675 0.001476227 0.0027223926 0.016851993 0.0005368098 0.011560583 0.0008627301 0.0062883436 0.00040260737 0.00059432513 0.012576687 0.0004601227 0.00069018407 0.00047929448 0.0023773005 0.0011119632 0.0007093558 0.00069018407 0.0008627301 0.0006326687 0.0005559816 0.00067101227 0.0007476994 0.00040260737 0.00042177914 0.00040260737 0.0012078221 0.0020322085 0.0005368098 0.00095858896 0.0008819018 0.00042177914 0.00059432513 0.0006326687 0.0008435583 0.0004409509 0.00051763805 0.00038343557 0.00067101227 0.0002684049 0.00047929448 0.00049846625 0.0009202454 0.00049846625 0.00032592023 0.0003642638 0.0010161042 0.00047929448 0.0027607363 0.0005368098 0.0015337423 0.0007093558 0.0008819018 0.00093941716 0.0019363497 0.00069018407 0.00065184047 0.0007476994 0.00431365 0.0013228528 0.0009777608 0.0036618097 0.0020513805 0.0013995399 0.005138037 0.009202454 0.0008243865 0.0009010736 0.0007093558 0.00080521475 0.00051763805 0.0004601227 0.00047929448 0.0005368098 0.0028374232 0.0018596626 0.0017062883 0.0007285276 0.0006326687 0.0004601227 0.00059432513 0.00065184047 0.00095858896 0.00034509203 0.00069018407 0.00076687115 0.00034509203 0.0002875767 0.0005368098 0.0007285276 0.0027990798 0.0009202454 0.0020130367 0.0010736196 0.0012653375 0.0015337423 0.0010352761 0.00080521475 0.008032976 0.004064417 0.0005368098 0.0012653375 0.0020705522 0.00076687115 0.00080521475 0.0006326687 0.0016871166 0.00047929448 0.00059432513 0.0007476994 0.00076687115 0.0008435583 0.0013803681 0.0014953988 0.0018788343 0.00067101227 0.0010352761 0.0013036809 0.0008627301 0.0010161042 0.0018980062 0.02080138 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.016571667 0.00010961416 0.00062779017 0.00062779017 0.00013950893 0.00011957908 0.0008868782 0.00043845663 9.964924e-05 6.975447e-05 8.968431e-05 0.00013950893 0.00010961416 0.000129544 0.00013950893 0.00010961416 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.014090402 0.0006576849 0.0008071588 0.0005978954 0.0017040019 0.00035873725 0.00019929848 0.0002989477 0.0005281409 4.982462e-05 3.9859693e-05 4.982462e-05 0.00055803574 2.989477e-05 3.9859693e-05 0.00039859695 0.05390027 0.00259088 0.013223453 0.004284917 0.0071747447 0.0045739 0.019601004 0.010214047 0.0012157207 0.0007971939 0.00021922831 0.000259088 0.0013054049 0.00022919325 0.0013452647 0.0015146683 0.05837452 0.002979512 0.007114955 0.004444356 0.006387516 0.007334184 0.028768733 0.014339525 0.002600845 0.00074736925 0.00040856187 0.0005082111 0.0021324935 0.000518176 0.003667092 0.0025310905 0.023915816 0.0011559312 0.0047632335 0.005729831 0.0051518655 0.0009367028 0.0089086415 0.0049824617 0.0014648438 0.0004185268 0.000259088 0.0002889828 0.00074736925 0.00036870217 0.0013651946 0.0007672991 0.00779257 0.00074736925 0.007154815 0.006218112 0.006078603 0.001434949 0.0060586734 0.004842953 1.9929847e-05 0.00022919325 1.9929847e-05 6.975447e-05 1.9929847e-05 9.964923e-06 3.9859693e-05 7.9719386e-05 0.018096302 0.0011459662 0.005640147 0.0028499682 0.003517618 0.0040856185 0.0076231663 0.00453404 0.0037667411 0.0011957908 0.0005879305 0.0011658961 0.0021324935 0.0007075096 0.0012655453 0.0029097577 0.07708865 0.0063576214 0.03121014 0.010772082 0.026157925 0.009546396 0.0029296875 0.010024713 0.037448183 0.010662468 0.0038265307 0.005978954 0.016342474 0.005480708 0.012844786 0.019042969 0.04252033 0.010592714 0.01819595 0.0147680165 0.012496014 0.01173868 0.015505421 0.011898119 0.019899951 0.008001833 0.003916215 0.0047134086 0.008858817 0.004653619 0.0073840083 0.008938536 0.006676499 0.002341757 0.0029097577 0.0035873724 0.002351722 0.0022421079 0.004414461 0.003378109 0.0021723532 0.0016641422 0.0016342475 0.0015345982 0.0013054049 0.001554528 0.0015844228 0.0014648438 573.0 19.193718 10998.0 0.090016365 0.00072740496 0.0025459174 0.0008183306 0.0016366612 0.007910529 0.0010001819 0.0010001819 0.0044553555 0.00436443 0.00018185124 0.00027277687 0.006728496 0.0150027275 0.016093835 0.009365339 0.020094562 0.015093653 0.009638116 0.0066375704 0.005546463 0.0058192397 0.004909984 0.005091835 0.0073649753 0.0052736863 0.00727405 0.00063647935 0.0032733225 0.001909438 0.0030005455 0.0004546281 0.0014548099 0.004091653 0.0011820331 0.014002546 0.0018185124 0.002454992 0.0022731405 0.008637934 0.00072740496 0.0050009093 0.0004546281 0.0010001819 0.0030005455 0.0056373887 0.0058192397 0.0031823968 0.004909984 0.00027277687 0.0030914713 0.006001091 0.0039098016 0.004909984 0.00027277687 0.003364248 0.00054555375 0.00036370248 0.0012729587 0.0016366612 0.0010001819 0.0015457356 0.0015457356 0.05237316 0.0004546281 0.033824332 0.008637934 0.028368793 0.022822332 0.05591926 0.016548464 0.01018367 0.012729587 0.051827606 0.00018185124 0.0030914713 0.027732315 0.029368976 0.036461174 0.047917802 0.02636843 0.00063647935 0.042462267 0.043098744 0.052009456 0.011547554 0.0042735045 0.0066375704 0.0030914713 0.00872886 0.00072740496 0.00063647935 0.0008183306 0.00063647935 0.00027277687 9.092562e-05 5.4214106 2.0 16.0 0.0 1.0 52160.0 65536.0 1.0 0.0 79.0 0.0 1.0 1.0 0.0 94.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 -1.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 2.0 28.0 4.0 0.0 4.0 0.0 21504.0 1024.0 4096.0 8.0 1.0 0.0 1.0 4.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 7168.0 0.0 0.0 0.0 0.0 0.0 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 -22016.0 -2560.0 1536.0 0.0 0.0 0.0 -4608.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.2809043 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -0.8401622 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -9.312671 -4.668182 5.2162147 0.0 0.0 0.0 -4.6138883 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 6896.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 684.0 0.0 0.0 -128.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -21545.0 -2304.0 1256.0 0.0 0.0 0.0 -4304.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 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 -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 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 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 -1.0 0.0 0.0 0.0 -1.0 -1.0 0.0 1.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2304.0 57344.0 1256.0 61440.0 0.0 0.0 9272.0 42888.0 0.0 0.0 28.0 40960.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 332.0 57776.0 0.0 0.0 0.0 0.0