Input: 0.1737275 0.012017286 0.005967496 0.0060356827 0.008986513 0.0045073642 0.0039477646 0.0034116772 0.009825912 0.002929669 0.0026193028 0.0026686795 0.0062519987 0.0024711736 0.0019092226 0.012146606 0.006621146 0.001596505 0.0015918026 0.0016740967 0.0035480503 0.0034116772 0.0024147434 0.0013049489 0.0030589884 0.0018739537 0.0012931926 0.0015871001 0.0024500121 0.0014930497 0.0011803322 0.0016200177 0.0051469067 0.0012743826 0.0013731355 0.0015142111 0.0037314487 0.0013660816 0.0012038448 0.001241465 0.0019374377 0.0010204465 0.0011121457 0.0029696405 0.001965653 0.0028215111 0.0016976092 0.0013919455 0.0058428794 0.0026334105 0.0025276039 0.00791669 0.0025464138 0.0021372947 0.001895115 0.0019985705 0.0029860993 0.002892049 0.002193725 0.0056853453 0.0028685364 0.0032447379 0.0022689654 0.0049541034 0.004751895 0.0033411395 0.0025534676 0.008161221 0.007034968 0.01206196 0.0033058706 0.002130241 0.0024993888 0.0025863852 0.0013848918 0.0013613792 0.0021984274 0.005901661 0.0022971805 0.0015871001 0.008055414 0.0032165227 0.0015612362 0.0034257849 0.002330098 0.004441529 0.0042087543 0.0036656132 0.0026921919 0.004154675 0.0013566767 0.001650584 0.0018175235 0.004034761 0.003000207 0.0026122492 0.0022407502 0.003428136 0.0015565336 0.0025487652 0.0029813969 0.0054713804 0.006990294 0.001803416 0.0042299153 0.0034375412 0.0050246413 0.0014201606 0.003679721 0.0019068713 0.0035668605 0.0035856704 0.0027133534 0.0011803322 0.004260482 0.004234618 0.010296165 0.009710701 0.002076162 0.002294829 0.0021631585 0.0018198747 0.0013002465 0.0011239019 0.0018480899 0.002983748 0.0021161335 0.0019985705 0.0045379307 0.002447661 0.0018692511 0.011610518 0.0035598066 0.010317326 0.0013919455 0.0013378665 0.0022501552 0.010162143 0.0016364765 0.02789299 0.0018339823 0.014568402 0.0010110415 0.0011638734 0.0018904125 0.00093344995 0.0011027406 0.0011662246 0.0015024547 0.0015400748 0.00090053235 0.00094285497 0.0014554295 0.0017446345 0.0009804751 0.0012908414 0.0017281756 0.0014648346 0.0010110415 0.0015941538 0.0024993888 0.0023982846 0.001260275 0.0015612362 0.0015330211 0.0013096514 0.0008746685 0.0008770197 0.0017211218 0.0009593138 0.0008582097 0.0009875289 0.0014013506 0.00082764326 0.0010039877 0.00094285497 0.0017634445 0.0010227978 0.00090758613 0.0009710701 0.0015635875 0.001631774 0.0023183418 0.0021960763 0.0028497262 0.0013472716 0.001377838 0.0011027406 0.0019115738 0.0021278898 0.0012696801 0.0017305269 0.008901868 0.0038207965 0.002682787 0.004603766 0.0028685364 0.0016905555 0.004236969 0.0033740571 0.003282358 0.0033881648 0.0014765909 0.001558885 0.003933657 0.0010745255 0.0018998175 0.0018433873 0.0026498693 0.0015706412 0.0017187706 0.0016247202 0.0016999604 0.0008393996 0.0013284616 0.0012273574 0.0022619115 0.001650584 0.0009898802 0.0018457386 0.0020056241 0.0015118597 0.0010651205 0.001260275 0.0031671464 0.0013049489 0.0010369053 0.00094990875 0.0028685364 0.0024406072 0.0011474146 0.0016764479 0.016385926 0.0045073642 0.001152117 0.0046366835 0.0047307336 0.0009898802 0.0013120027 0.0015447774 0.0061532455 0.0019703554 0.001685853 0.0016552865 0.0031953615 0.0015118597 0.004079435 0.0036256418 0.0052362545 0.0019374377 0.002139646 0.0017093655 0.006256701 0.003536294 0.0049517523 0.05479375 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0018882568 1.061481e-05 1.061481e-05 9.199502e-05 8.255963e-06 2.9485584e-05 1.061481e-05 2.0050196e-05 1.1794233e-05 6.722713e-05 1.1794233e-05 1.1794233e-05 3.4203276e-05 1.061481e-05 1.7691349e-05 0.00018045177 0.006427857 0.0003585447 0.00037387718 3.892097e-05 0.00016158099 0.000106148094 0.001306801 0.00061919726 3.6562124e-05 2.9485584e-05 3.5382698e-05 2.830616e-05 3.302385e-05 3.4203276e-05 2.830616e-05 4.363866e-05 0.027697576 0.0007336013 0.0012773154 0.00047884588 0.002253878 0.0005920705 0.0026761114 0.0017137021 0.0002736262 0.0007052951 0.00024178177 0.0005472524 0.000507152 0.00031254717 0.00069114205 0.0027763625 0.021615291 0.0012678801 0.0009506152 0.0006085824 0.0020156344 0.000546073 0.0025510925 0.0015757096 0.0009341033 0.00064632396 0.0002523966 0.000353827 0.0007831371 0.00024414062 0.00058853225 0.001298545 0.023731176 0.0006416063 0.0016971901 0.0016099128 0.0034132511 0.0014931499 0.007070643 0.0038413818 0.0005283816 0.0012973656 0.00048474298 0.00042341297 0.0014212051 0.00029603526 0.0006935009 0.0020816822 0.021185981 0.0007748811 0.0014589466 0.001161732 0.00435679 0.0015061236 0.0061837165 0.0034887341 0.0005578672 0.0011723468 0.0016287836 0.0004859224 0.00068170665 0.00044110432 0.0007418573 0.002482686 0.013064472 0.0017101638 0.0017148815 0.014742792 0.0021949068 0.0016771399 0.0031997755 0.002231469 0.0020628113 0.001392899 0.001507303 0.0013421837 0.0016264247 0.0014884322 0.0017313934 0.0038685084 0.014585928 0.0014212051 0.0016016569 0.0041220845 0.0038968145 0.0030723978 0.0025168892 0.0023918704 0.010454408 0.002192548 0.0013728488 0.0022161363 0.0035937028 0.0014141286 0.0038508172 0.01859125 0.06448379 0.010441435 0.0065575936 0.01157604 0.01938854 0.018000359 0.010135964 0.01417313 0.0430749 0.003513502 0.0037918459 0.006801734 0.018231526 0.0065151346 0.018597146 0.036987893 0.04912534 0.01118683 0.008327908 0.011380255 0.017994462 0.01811948 0.0102256 0.014147183 0.032031957 0.0030157855 0.0046009305 0.0058133774 0.016193481 0.0065516965 0.015387936 0.027105507 0.015279429 0.00811915 0.007720505 0.008770192 0.0075424123 0.0070730015 0.007968184 0.007912751 0.007806603 0.007185047 0.0070730015 0.008049564 0.007597845 0.007925725 0.0075872303 0.009239602 1666.0 13.284513 22132.0 0.035197902 0.0021688053 0.0032080247 0.0017169709 0.0071389843 0.0013555033 0.0020784384 0.0035243088 0.0041116937 0.0016717875 0.0014458703 0.002123622 0.004156877 0.0058738478 0.010708476 0.0058738478 0.02254654 0.014684619 0.011973613 0.011431412 0.011386228 0.010708476 0.008675221 0.0092626065 0.01219953 0.0127417315 0.009849991 0.011069944 0.013871318 0.01102476 0.011295862 0.012109163 0.013058015 0.010211458 0.0023495392 0.011521778 0.008223387 0.0054220133 0.005150913 0.006325682 0.005105729 0.0055575636 0.0015814205 0.0017621544 0.007319718 0.004473161 0.0028013736 0.0034791252 0.0132387495 0.0029369239 0.0052412795 0.013103199 0.009985541 0.0028917405 0.008178203 0.01206398 0.015000904 0.002123622 0.004247244 0.0022591723 0.0042020604 0.0023043556 0.0026206397 0.0065515996 0.005693114 0.032215796 0.009127056 0.02295319 0.022230254 0.05507862 0.009398157 0.012018796 0.011702512 0.030995844 0.006913067 0.0045183445 0.02715525 0.011160311 0.02977589 0.037547443 0.015046087 0.002033255 0.036282305 0.027742635 0.048165552 0.013193565 0.0061449483 0.0058738478 0.007184168 0.008404121 0.002123622 0.0017169709 0.0037954093 0.0012651364 0.0018977047 0.0021688053 6.031541 1.0 24.0 0.0 4.0 425304.0 434176.0 1.0 0.0 202.0 1.0 1.0 1.0 0.0 0.0 1491956400.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 14.0 0.0 5.0 1.0 5.0 1.0 233472.0 1024.0 4096.0 6.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -12800.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 91648.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4608.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -233984.0 0.0 68096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.6044054 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.716959 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3.7005746 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -10.6299305 0.0 6.9886446 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -12636.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 91408.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -8992.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -233883.0 0.0 67776.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -2.0 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 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 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 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 -1.0 -1.0 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 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 -1.0 0.0 -1.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 1.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 -1.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -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 1.0 0.0 0.0 1.0 1.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 -1.0 0.0 0.0 -1.0 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 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 -1.0 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 0.0 -2.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 1.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 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 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 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 -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 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 -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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 1.0 -1.0 1.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 -1.0 0.0 -1.0 1.0 -1.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 220.0 324024.0 67776.0 348160.0 0.0 0.0 13144.0 412160.0 12636.0 417792.0 84.0 307040.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 307128.0 0.0 0.0 848.0 237568.0 0.0 0.0 0.0 0.0


Input: 0.20535564 0.0046053003 0.0044270246 0.0021577463 0.0056064525 0.00070607575 0.0014244464 0.0012022608 0.009742792 0.0009537292 0.001198748 0.0009800753 0.0066032135 0.0004294416 0.0007877487 0.0032502317 0.011666936 0.0054114913 0.005142761 0.00060156954 0.00156935 0.015834013 0.00057434523 0.00041099932 0.0017502599 0.0002169163 0.00029156363 0.00040046088 0.0013357478 0.000720127 0.0006050823 0.00016071128 0.010244246 7.9916535e-05 0.00013524336 0.00025555727 0.0027426302 0.0005076017 0.00020989068 0.00277688 0.0039721155 0.00079213973 0.00041802495 0.0004733518 0.0022446886 0.00025994828 0.0019715673 0.00037499296 0.002798835 0.0006841207 0.00032581357 0.0006366977 0.0018951636 0.00042768518 0.00044524926 0.00027399955 0.0024212075 0.00044700567 0.00035391608 0.0015140232 0.0029340785 0.001578132 0.0019838621 0.0005708324 0.02826235 0.0042329417 0.004509576 0.0030728348 0.002522201 0.010325919 0.0012479274 0.00053833885 0.002056753 0.0018617918 0.0009677805 0.0012347543 0.001961029 0.010249515 0.0013050106 0.001370876 0.020184634 0.010636803 0.0109547125 0.0038623398 0.0037762758 0.005161203 0.003264283 0.0032985331 0.0012013826 0.00027751236 0.000582249 0.00052692223 0.0016483883 0.0016466319 0.00027048672 0.0012531966 0.0012479274 0.0044393195 0.0014235682 0.0026486623 0.006622534 0.008291121 0.0029244183 0.00064899254 0.013441785 0.0034425585 0.008707389 0.0002862944 0.003514571 0.0014762604 0.004349743 0.0038913204 0.005492286 0.00022042912 0.004427903 0.0035672635 0.0063792714 0.005609087 0.0005479991 0.00086415245 0.00142269 0.0013831708 0.00053394784 0.00012207031 0.0014464015 0.0040924293 6.937809e-05 8.4307554e-05 0.0032361806 0.0007842359 0.0007227616 0.007347052 0.0025801624 0.020759856 0.0002617047 0.00016510229 0.0014446451 0.023396224 9.221139e-05 0.03201404 0.0013989785 0.03975716 0.00019671762 0.00015632025 0.004376967 0.00049003767 0.00043822365 0.00019232661 0.0012259723 0.008075961 8.869857e-05 0.00010450624 0.0014068823 0.0013322349 5.181402e-05 0.0018512533 0.0013225748 0.003383719 0.00015456385 8.4307554e-05 0.0032695523 0.00024238422 6.0596056e-05 4.4788387e-05 0.0018574008 0.00019320482 7.4647316e-05 3.600635e-05 0.0032177384 4.8301205e-05 9.133318e-05 5.7961443e-05 0.0011135623 0.00012646132 5.971785e-05 3.4249944e-05 0.0013568247 5.5326833e-05 7.11345e-05 6.674348e-05 0.001465722 0.0019856186 0.0001449036 0.00010714085 0.0030078476 0.0014376194 0.0006481143 0.00013699978 0.0015289526 0.0025722587 0.000118557495 0.0002573137 0.0059990096 0.00046632616 0.00046105694 0.00062879384 0.00432691 3.776276e-05 0.00039870446 0.007864314 0.0033968918 0.0001677369 0.00010099343 0.00024238422 0.0032581356 4.9179405e-05 0.0001668587 0.00034864686 0.0045894925 5.269222e-05 0.00012294852 0.0021164708 0.0030245334 6.323066e-05 0.002418573 0.0029217836 0.0019285353 9.660241e-05 7.9038335e-05 0.0034197252 0.0027136493 0.00016422408 5.6205037e-05 0.0001677369 0.0031097194 0.0003117623 0.0033081933 5.971785e-05 0.0018837469 0.00025116626 8.0794736e-05 4.566659e-05 0.0020031827 0.0007087104 9.308959e-05 0.0007455949 0.003919423 0.00010714085 0.00012119211 0.00021867272 0.001224216 0.00025028805 0.00041363394 0.00037411478 0.0012321197 0.00038728782 0.000677095 0.0005479991 0.0020330416 0.00053746067 0.0008351717 0.0013287222 0.0070906165 0.0041670767 0.011060097 0.12388468 0.0062830504 8.789942e-07 0.0 1.7579883e-06 8.789942e-06 1.7579883e-06 0.0 8.789942e-07 0.0 8.789942e-07 0.0 1.3184912e-06 0.0 4.394971e-07 0.0 8.789942e-07 0.000828452 8.789942e-07 0.0 2.6369823e-06 0.0 0.0 0.0 8.789942e-07 0.0 0.0 0.0 0.0 2.6369823e-06 0.0 0.0 6.460607e-05 0.0024629417 2.0656362e-05 1.7579883e-06 5.713462e-06 6.944054e-05 1.2305918e-05 3.9554736e-05 5.1860654e-05 7.0319534e-06 3.5159767e-06 4.394971e-07 3.0764795e-06 3.5159767e-06 4.8344677e-06 4.394971e-07 1.3184912e-05 0.0008113116 1.2305918e-05 1.0547929e-05 3.5159767e-06 1.0547929e-05 5.713462e-06 1.2745415e-05 6.152959e-06 4.8344677e-06 1.7579883e-06 4.394971e-07 2.6369823e-06 7.0319534e-06 3.955474e-06 2.1974854e-06 4.394971e-06 0.001420015 8.350445e-06 1.1426924e-05 1.5821895e-05 2.1535358e-05 2.0656362e-05 3.5599263e-05 2.5051333e-05 2.1535358e-05 8.789942e-07 4.394971e-07 3.5159767e-06 1.1426924e-05 3.955474e-06 7.0319534e-06 0.00019293922 0.0033480888 0.00013888108 4.52682e-05 0.0001349256 0.00030325298 0.00014195756 7.603299e-05 4.8344677e-06 8.350445e-06 5.2739647e-06 3.955474e-06 3.5159767e-06 7.0319534e-06 4.394971e-06 3.955474e-06 0.0002707302 0.002531503 7.9988466e-05 6.4166576e-05 4.8784175e-05 0.00026194027 0.00014283655 0.000150308 7.4275005e-05 4.394971e-06 4.394971e-06 1.2305918e-05 7.0319534e-06 9.6689355e-06 4.8344677e-06 6.152959e-06 0.00019777368 0.012670261 6.7243054e-05 0.0022190206 0.00041576423 0.00078582077 0.00038763642 0.0044648508 0.0020506934 4.4389206e-05 2.7688317e-05 2.3293345e-05 2.417234e-05 2.4611836e-05 2.2414351e-05 2.5051333e-05 0.000149429 0.08309352 0.000376649 0.013513217 0.003821427 0.007877106 0.0043800278 0.027926084 0.013748348 0.00026413775 0.00019733419 0.0002584243 0.00023249396 0.00016920637 0.00013800208 0.00018370978 0.00043598108 0.016689463 0.00023557043 0.0017768866 0.0008609748 0.0021183759 0.0013593645 0.004952253 0.0027297162 0.00024348138 0.00021843004 0.00021359557 0.00018678626 0.00017404085 0.00014503404 0.00017623833 0.00032303034 0.004688555 0.00022018804 0.00042191718 0.00035115817 0.0011567563 0.0010007349 0.0006847365 0.00035291616 0.0014222126 0.00029534203 0.00013976007 0.00043861807 0.0001639324 0.00014547353 0.00026765373 0.0026514858 0.003831975 0.0005700277 0.00038631793 0.00040213982 0.0011813681 0.0014499008 0.00096997 0.00044872653 0.0022730788 0.00052124355 0.00023513094 0.0004983897 0.00032566732 0.0005133326 0.00029182606 0.004102705 0.017754363 0.0063700704 0.0015342843 0.0016155912 0.0085113 0.0092153745 0.0035265246 0.0017997405 0.023722295 0.0036601317 0.001264433 0.0023433983 0.0042143376 0.0030373642 0.0020775027 0.03356571 0.06732436 0.027802585 0.0053521954 0.0077580023 0.03853686 0.03547137 0.017742058 0.010068439 0.07942239 0.014035778 0.0060259444 0.008038841 0.016888993 0.014301674 0.010024049 0.089451276 0.02510627 0.010817781 0.0021359557 0.0038662557 0.01493411 0.015011902 0.0068236315 0.004926762 0.026991274 0.00562776 0.0023587807 0.0031881118 0.0059296945 0.0056273206 0.00391504 0.024755552 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1116.0 8.991039 10034.0 0.005381702 0.0004983058 0.0028901733 0.010564082 0.0020928842 0.00029898345 0.0005979669 0.00029898345 0.004584413 9.966115e-05 0.0003986446 0.011660355 0.0037871238 0.0 0.001295595 9.966115e-05 0.0016942396 0.0033884791 0.004783735 0.0042854296 0.005282041 0.0007972892 0.0010962727 0.0003986446 0.008172214 0.0034881404 0.0009966115 0.025214272 0.004385091 0.002690851 0.0007972892 0.0014949173 0.0031891568 0.0294997 0.037472595 0.02162647 0.009866454 0.010564082 0.018437313 0.0055810246 0.0041857683 0.012058999 0.0011959338 0.0023918676 0.010763404 0.0099661155 0.008869843 0.0076739085 0.039565478 0.0072752642 0.015746461 0.016244767 0.023918677 0.0029898346 0.01474985 0.0016942396 0.002690851 0.0011959338 0.0016942396 0.0054813633 0.0014949173 0.00029898345 0.0001993223 0.05561092 0.0021925454 0.056607533 0.026111221 0.0075742477 0.024117999 0.03627666 0.0074745864 0.004783735 0.060294997 0.015248156 0.018337652 0.0022922065 0.016842734 0.017739685 0.013653578 0.024516644 0.009368149 0.0006976281 0.04584413 0.0174407 0.03298784 0.012357983 0.0259119 0.001993223 0.0042854296 0.004385091 0.0 0.0 0.0007972892 0.011361372 9.966115e-05 0.0006976281 5.6449986 2.0 0.0 0.0 2.0 1138688.0 1191936.0 0.0 0.0 136.0 0.0 1.0 0.0 0.0 0.0 1540640600.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 6.0 0.0 4.0 0.0 4.0 0.0 1126400.0 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 -1126400.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.7666664 0.0 3.046453 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -55328.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1126216.0 0.0 2244.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 -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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 1.0 0.0 -1.0 1.0 0.0 0.0 0.0 1.0 1.0 1.0 1.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 2.0 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 -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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 2.0 0.0 1.0 0.0 0.0 -2.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -2.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -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 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 -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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 -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 2.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 -1.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1127252.0 2244.0 1187840.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 32.0 552.0 724.0 4096.0 0.0 0.0 0.0 0.0


Input: 0.02110585 0.006716438 0.0071180006 0.0053852694 0.0074253045 0.0051457747 0.006532248 0.0036871638 0.0075075408 0.0049687983 0.005988816 0.004208955 0.006098464 0.0042065503 0.0046985247 0.0035101876 0.0072815116 0.0038179723 0.0056012 0.003910308 0.0058743586 0.0037746902 0.0047687385 0.0032702119 0.0056752604 0.0032966621 0.0044393125 0.0033207077 0.00454848 0.0026536807 0.0032726163 0.0028878856 0.012346012 0.0045061596 0.004959661 0.003174029 0.0055088643 0.0038093159 0.010080428 0.0029951292 0.005405468 0.003569821 0.004610518 0.004398435 0.00472738 0.0033957302 0.004004567 0.0036510953 0.007378656 0.0038458654 0.0056560235 0.0038828957 0.005671413 0.0039266585 0.0050178515 0.0038997277 0.0053294837 0.003698225 0.0035097068 0.0029374196 0.0034390124 0.0020212794 0.0027489015 0.0028316188 0.006394226 0.0059729456 0.0066914307 0.0052193543 0.0060335407 0.0047172806 0.005443941 0.0040271697 0.0067654913 0.0048831957 0.0055627264 0.004381603 0.0056526572 0.004531648 0.0048014405 0.0036015613 0.0071930233 0.0045412662 0.0057185423 0.004636006 0.005677184 0.0046403343 0.005327079 0.0041454746 0.0058911904 0.0035347142 0.0048913714 0.0029071223 0.0037270796 0.0024579489 0.0028066111 0.0028104584 0.0054670246 0.0053463154 0.005131828 0.004018994 0.005528582 0.0042103976 0.0046268688 0.0033457153 0.005809916 0.0044162287 0.005272736 0.0037770947 0.005154431 0.0040516965 0.004652357 0.0036400342 0.006059991 0.0032370288 0.0049389815 0.0034957603 0.005532429 0.0044729766 0.004323893 0.0035765537 0.004636968 0.0029624272 0.003719866 0.0019005701 0.0028402752 0.0018168913 0.002519025 0.0025368189 0.006565912 0.004115177 0.00516453 0.0038655826 0.0052025225 0.0036664845 0.0045056785 0.0027950692 0.0044619157 0.0036284924 0.0037843084 0.0035174014 0.0037217897 0.0030201368 0.0028484508 0.0018519979 0.0051140343 0.0028215195 0.0039444524 0.0026556044 0.003802583 0.0025151777 0.003463058 0.0024473688 0.003497684 0.0022925148 0.0030494726 0.0022540416 0.0028282523 0.0017053193 0.0025887573 0.0023843693 0.004893295 0.0033918829 0.0035327906 0.0025098876 0.004079589 0.0027219704 0.0032543417 0.0020583097 0.004158459 0.0027258177 0.0034553634 0.0025103686 0.0035327906 0.002340606 0.0026926347 0.0017707235 0.004663899 0.0024680481 0.0028042067 0.0018746009 0.003770362 0.0023612853 0.0031884566 0.0023281022 0.0038073922 0.0019159594 0.003029755 0.0020770654 0.0028104584 0.0015764345 0.00247959 0.0024824755 0.005431437 0.0037352552 0.004358519 0.0032322197 0.00356405 0.0019779971 0.0032726163 0.0021996985 0.003946857 0.0025608644 0.0027537108 0.002345415 0.002663299 0.0016355868 0.0021655536 0.0019226922 0.0061504026 0.002480071 0.0032509754 0.00227953 0.0035409662 0.0020914928 0.0029763738 0.0019587607 0.0037400643 0.0018159294 0.003041778 0.00227953 0.002957137 0.0018481506 0.0024593917 0.0024454452 0.00448019 0.0026142458 0.002603185 0.0019241349 0.003330807 0.0014384123 0.0020082947 0.0015216103 0.0033154178 0.0016908919 0.0025603834 0.002847489 0.0027825655 0.001757258 0.002218935 0.0018226622 0.0037996976 0.001790441 0.0021213095 0.0014927555 0.0025406661 0.0013975346 0.0024156286 0.0018635398 0.003142289 0.001172948 0.004004086 0.0016076938 0.002413224 0.0013580997 0.0024040865 0.02289004 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0017796155 1.4439071e-06 7.2195354e-07 1.2032559e-06 2.406512e-07 0.0 2.406512e-07 9.626048e-07 4.813024e-07 0.0 0.0 0.0 9.626048e-07 4.813024e-07 4.813024e-07 0.0036345548 0.00066419726 5.294326e-06 3.3691165e-06 4.09107e-06 1.2754513e-05 3.850419e-06 4.8130237e-06 5.294326e-06 1.5401676e-05 3.6097676e-06 4.5723723e-06 2.647163e-06 2.8878142e-06 4.885219e-05 2.8878142e-06 0.000694038 0.0012571617 1.0829303e-05 1.0107349e-05 1.9492745e-05 1.1791908e-05 6.738233e-06 1.0829303e-05 1.5401676e-05 3.5375724e-05 8.18214e-06 1.5161025e-05 5.294326e-06 7.9414895e-06 0.00017230625 6.0162797e-06 0.0008716386 0.0025164895 4.813024e-07 0.0039108223 1.9252095e-06 2.1658607e-06 9.626048e-07 2.647163e-06 1.2032559e-06 1.6845582e-06 7.2195354e-07 9.626048e-07 4.813024e-07 1.0588652e-05 0.00026086587 2.4065118e-06 0.0031426637 0.004242199 3.1284653e-06 0.005052231 2.1658607e-05 1.8770792e-05 1.0107349e-05 2.839684e-05 1.1551257e-05 2.8878141e-05 1.5161025e-05 1.8770792e-05 2.0696001e-05 2.6712281e-05 0.0010357627 1.5882979e-05 0.006207116 0.0014051623 1.2032559e-06 0.0015692863 1.3957769e-05 1.8770792e-05 1.5161025e-05 1.6845583e-05 1.2032559e-05 2.3343166e-05 1.3957769e-05 1.9733397e-05 1.8530141e-05 2.1177304e-05 0.0002923912 1.2513861e-05 0.0019673235 0.0003785443 1.419842e-05 0.00011021824 6.5938424e-05 2.863749e-05 1.7808188e-05 0.0002031096 0.00011406866 1.4439071e-05 1.1069955e-05 1.1310605e-05 1.1310605e-05 1.2513861e-05 3.681963e-05 1.5401676e-05 0.00043317213 0.00035664506 1.5161025e-05 4.1151354e-05 6.930754e-05 5.4146516e-05 3.0081397e-05 0.00018313555 0.000106849126 3.1284653e-05 1.1551257e-05 1.7326885e-05 1.6604932e-05 1.1069955e-05 1.1791908e-05 1.4920373e-05 1.4679722e-05 0.0006028312 3.272856e-05 9.457592e-05 7.821163e-05 7.460186e-05 4.1632655e-05 0.00018915183 0.000106849126 5.7515634e-05 1.32358155e-05 1.5401676e-05 1.5161025e-05 1.7567536e-05 3.248791e-05 1.9733397e-05 8.687508e-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 0.0005691401 0.00010035154 0.00014054029 0.00015209155 0.000103239356 8.6393775e-05 0.0002671228 0.00016171759 8.783768e-05 4.7167632e-05 3.6097677e-05 3.6097677e-05 4.427982e-05 3.9466795e-05 4.9333492e-05 5.053675e-05 0.0027792805 0.001289409 0.0016135662 0.0027131015 0.0031698574 0.0026577516 0.0034865544 0.0026495694 0.0010533303 0.00076454884 0.000983782 0.0008976289 0.00078596675 0.000906533 0.0007857261 0.0010631969 0.08765791 0.066951804 0.06864142 0.062626585 0.08109824 0.06797313 0.07001578 0.055369988 0.061407924 0.046507046 0.04854151 0.042641465 0.046855748 0.042507663 0.038002912 0.03828712 24934.0 6.448745 160793.0 0.013072709 0.0070898607 0.009310107 0.0045462176 0.010199449 0.0056096967 0.009851175 0.0044529303 0.010653449 0.006107231 0.008557586 0.00988849 0.009565093 0.0061507653 0.008706846 0.009782764 0.017761968 0.009838737 0.014621283 0.0095153395 0.0145342145 0.010025312 0.013041613 0.009633504 0.013831448 0.009384737 0.007618491 0.0043596425 0.0071458337 0.0033832318 0.0057776147 0.004135752 0.011940818 0.0128612565 0.01585268 0.01291101 0.014403612 0.011262928 0.013452078 0.009403395 0.016343996 0.012170928 0.01411753 0.010578819 0.01388742 0.011387312 0.01320953 0.009067559 0.016878843 0.010920874 0.0145342145 0.011766681 0.0152742965 0.011349997 0.012488106 0.010448216 0.01426679 0.009191942 0.012960764 0.0048385193 0.007512765 0.003986492 0.0056656697 0.003980273 0.01026786 0.013277941 0.014285448 0.011362435 0.014658598 0.011101229 0.012637366 0.009079997 0.015212105 0.012811503 0.01275553 0.009652161 0.014273009 0.011673394 0.013526708 0.010298956 0.015292955 0.007823723 0.014092653 0.010093723 0.015834022 0.0106410105 0.011598764 0.009142189 0.012432133 0.008632217 0.010703202 0.0029603278 0.0059330943 0.0024068211 0.005329834 0.003140684 6.4891663 2.0 39.0 0.0 57.0 2079376.0 5148672.0 0.0 0.0 15.0 1.0 1.0 1.0 1.0 0.0 1536831500.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 14.0 0.0 5.0 1.0 5.0 1.0 1966080.0 4096.0 4096.0 3.0 1.0 0.0 2.0 3.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1965568.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 96256.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7.894543 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 3.0839546 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1966080.0 0.0 0.0 0.0 0.0 0.0 3080192.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 98304.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 904.0 5145500.0 95132.0 5050368.0 0.0 0.0 8888.0 2070488.0 24.0 5146404.0 0.0 0.0 0.0 0.0 0.0 0.0 24.0 5049380.0 92.0 5049412.0 0.0 0.0 0.0 0.0 192.0 2401968.0 0.0 0.0


Input: 0.43511963 0.0059407554 0.0004679362 0.0002644857 0.0005493164 0.0002644857 0.00024414062 0.00024414062 0.00040690103 0.00030517578 0.00022379558 0.00024414062 0.00040690103 0.00030517578 0.00036621094 0.00030517578 0.0005086263 0.00016276042 0.00024414062 0.0002644857 0.00016276042 0.00016276042 0.0002644857 0.00024414062 0.00034586588 0.00024414062 0.00036621094 0.00020345052 0.00036621094 0.000386556 0.000386556 0.00020345052 0.045959473 0.00030517578 0.0007324219 0.00048828125 0.0005493164 0.00036621094 0.00024414062 0.0065714517 0.0004272461 0.00036621094 0.0005086263 0.0002644857 0.0007324219 0.00036621094 0.0057169595 0.0005086263 0.002746582 0.00083414715 0.00059000653 0.00032552084 0.00048828125 0.0004272461 0.0005086263 0.00040690103 0.0004679362 0.00048828125 0.00069173175 0.00028483072 0.00079345703 0.00056966144 0.00069173175 0.00022379558 0.00059000653 0.0009765625 0.00040690103 0.0040486655 0.0010782877 0.0010172526 0.00059000653 0.0006510417 0.00032552084 0.0025227864 0.00028483072 0.00012207031 0.0017089844 0.0008544922 0.00095621747 0.000773112 0.0013224283 0.00030517578 0.00069173175 0.0016276041 0.0009765625 0.00048828125 0.0008544922 0.00028483072 0.00036621094 0.00020345052 0.00018310547 0.00010172526 0.00036621094 0.00024414062 0.000386556 0.01554362 0.00014241536 0.029459635 0.0050455728 0.016621908 0.013285319 0.050272625 0.009379069 0.01003011 0.0023600261 0.0435791 0.00018310547 0.0006306966 0.021850586 0.0077311196 0.037027996 0.04305013 0.011067708 0.00059000653 0.026631674 0.01912435 0.029805502 0.012512207 0.006327311 0.001159668 0.0010172526 0.0018717448 0.0045572915 0.0025431316 0.00020345052 0.0025024414 0.00018310547 6.1035156e-05 0.00032552084 8.138021e-05 0.00018310547 0.00012207031 0.00010172526 0.00016276042 0.00016276042 0.00022379558 0.00034586588 8.138021e-05 0.00020345052 8.138021e-05 8.138021e-05 0.00010172526 0.00010172526 0.00010172526 0.00020345052 0.00014241536 0.00018310547 0.00016276042 8.138021e-05 8.138021e-05 0.00022379558 0.00010172526 8.138021e-05 0.00012207031 0.00022379558 0.00012207031 0.00014241536 0.00012207031 4.0690105e-05 0.00012207031 0.0010172526 0.00012207031 0.00016276042 0.00016276042 0.00014241536 0.00012207031 0.00018310547 0.00016276042 0.0014851888 0.00040690103 0.00010172526 0.00014241536 8.138021e-05 0.00010172526 0.00016276042 0.00012207031 0.00010172526 0.00010172526 0.00081380206 0.00012207031 0.00010172526 0.00014241536 0.00014241536 0.00016276042 0.00014241536 0.00024414062 6.1035156e-05 4.0690105e-05 6.1035156e-05 0.00020345052 0.00016276042 6.1035156e-05 0.00024414062 0.00020345052 0.00012207031 0.003458659 0.00016276042 0.00016276042 0.00018310547 8.138021e-05 0.00016276042 4.0690105e-05 0.00014241536 0.00014241536 8.138021e-05 6.1035156e-05 0.00014241536 8.138021e-05 0.00012207031 0.00018310547 0.00016276042 0.00014241536 0.00012207031 0.00018310547 0.00012207031 0.00010172526 0.00012207031 8.138021e-05 4.0690105e-05 0.00012207031 0.00012207031 0.00010172526 8.138021e-05 8.138021e-05 0.00014241536 0.00010172526 0.00010172526 0.00014241536 8.138021e-05 0.00012207031 0.00018310547 4.0690105e-05 0.00014241536 0.00014241536 0.00012207031 0.00014241536 0.00012207031 6.1035156e-05 8.138021e-05 0.00016276042 0.00014241536 0.00012207031 0.00018310547 0.00012207031 0.00010172526 0.00010172526 0.00012207031 0.00016276042 0.00010172526 0.00010172526 0.00028483072 8.138021e-05 0.00014241536 0.00014241536 0.00012207031 0.0002644857 0.16958943 0.0 6.233378e-05 0.00015583444 5.1944815e-05 3.116689e-05 0.00017661236 0.00011427859 0.0 0.0 3.116689e-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 0.019946808 0.00011427859 0.00023894614 1.0388962e-05 0.00014544548 6.233378e-05 0.00029089095 0.00014544548 6.233378e-05 3.116689e-05 3.116689e-05 5.1944815e-05 5.1944815e-05 2.0777925e-05 3.116689e-05 4.155585e-05 0.01922997 9.350067e-05 0.00020777926 8.31117e-05 0.00020777926 0.00013505651 0.00027011303 0.00015583444 0.00010388963 0.0001662234 0.00013505651 2.0777925e-05 8.31117e-05 0.00010388963 0.00014544548 0.00013505651 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.03334857 0.00014544548 0.0007895612 0.0008207281 0.0014232879 0.00077917223 0.0034179688 0.0015687334 8.31117e-05 0.0 3.116689e-05 4.155585e-05 6.233378e-05 0.0 2.0777925e-05 2.0777925e-05 0.010783743 1.0388962e-05 2.0777925e-05 1.0388962e-05 0.0003012799 0.0011947308 0.0069606053 0.0018804022 2.0777925e-05 1.0388962e-05 2.0777925e-05 1.0388962e-05 2.0777925e-05 1.0388962e-05 1.0388962e-05 1.0388962e-05 0.10998795 0.0011843417 0.052578542 0.005360705 0.009848737 0.015115941 0.23460355 0.09539146 0.0004778923 0.0004467254 0.0023582946 0.0009557846 0.003023188 0.0001662234 0.0001662234 0.0002493351 0.029089095 0.00017661236 0.0040516956 0.0009973404 0.0020362367 0.0039374167 0.030481217 0.013256316 7.272274e-05 9.350067e-05 0.0003012799 8.31117e-05 0.00036361368 6.233378e-05 5.1944815e-05 5.1944815e-05 0.011251247 0.00065450463 0.000841506 0.0005090592 0.0003947806 0.00077917223 0.0043114196 0.001392121 0.00015583444 0.00013505651 0.00014544548 0.00013505651 0.00017661236 0.00013505651 0.00011427859 0.00014544548 0.024590675 0.00096617354 0.0049555353 0.0015479554 0.001953125 0.0014232879 0.014108212 0.0073346077 0.00083111704 0.00076878327 0.0009765625 0.00074800535 0.0010700632 0.00079995015 0.00077917223 0.0009765625 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0073761637 0.0011531749 0.0014856217 0.0012570645 0.0007583943 0.00093500665 0.001921958 0.0013297872 0.0006441157 0.00051944813 0.0007168384 0.00062333775 0.0006856715 0.0006129488 0.0005817819 0.00067528256 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 360.0 48.666668 17520.0 0.12619863 5.7077625e-05 0.0012557078 0.00034246576 0.0 0.00017123288 0.0 0.01780822 0.00039954338 0.00028538812 0.000456621 0.0 0.001369863 0.00034246576 0.014098174 0.00039954338 0.0058789956 0.0014840183 0.000456621 0.00017123288 0.0002283105 0.00034246576 0.00017123288 0.00039954338 0.00028538812 0.00034246576 0.0011986301 0.0002283105 0.0012557078 0.0009703196 0.0011986301 0.00017123288 0.00017123288 0.0017123288 0.00011415525 0.0029680366 0.0013127854 0.0015981735 0.00034246576 0.0013127854 5.7077625e-05 0.0058219177 5.7077625e-05 5.7077625e-05 0.0035388127 0.0014840183 0.00074200914 0.0011415525 0.0018835616 0.0005136986 0.00079908676 0.0033105023 0.0011986301 0.00074200914 0.00057077623 0.00011415525 0.00039954338 0.00011415525 0.0 0.00011415525 0.00028538812 0.00028538812 0.00034246576 5.7077625e-05 0.0002283105 0.057534248 0.008618722 0.030422375 0.022602739 0.10313927 0.012842466 0.014726028 0.003824201 0.0854452 0.0 0.00034246576 0.045262557 0.014326484 0.066381276 0.08407534 0.024086758 0.0011415525 0.053710047 0.040468037 0.05268265 0.026484018 0.011815068 0.0011986301 0.0006849315 0.0009703196 0.012043379 0.006849315 0.00011415525 0.006849315 0.0 0.0 4.525228 0.0 0.0 0.0 2.0 49152.0 65536.0 0.0 0.0 1.0 1.0 1.0 0.0 0.0 0.0 1533736200.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -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 36864.0 4096.0 4096.0 3.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -36864.0 0.0 4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.5849625 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 -4.814573 0.0 3.4620452 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 -35124.0 0.0 1152.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 43220.0 1152.0 49152.0 0.0 0.0 0.0 0.0 12.0 57344.0 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: 0.25749403 0.036171135 0.039526336 0.01699536 0.030154506 0.011623604 0.026698874 0.010443537 0.011946042 0.0071425173 0.021009969 0.0057470505 0.0042802244 0.003943251 0.0049092416 0.0029495095 0.0044956235 0.009707481 0.008199689 0.0062426 0.0033644494 0.0026270722 0.006002093 0.0052184644 0.0037001015 0.0017588696 0.0017324404 0.0028094342 0.0019108382 0.0021169866 0.0016333305 0.004031789 0.009034855 0.0016954393 0.001242177 0.0015923651 0.0012844638 0.0033908787 0.0022676336 0.0011642105 0.014193853 0.0013743234 0.008615951 0.00285965 0.005288502 0.0042907964 0.003607599 0.0013082501 0.0043595126 0.0027208962 0.0021302013 0.002163238 0.0013267507 0.0015223274 0.0013769664 0.0011272095 0.0018883732 0.0017760487 0.0015249704 0.0010849226 0.0011694963 0.0009778839 0.0011377812 0.00096731225 0.001148353 0.002328421 0.0013941454 0.0033922002 0.001995412 0.0019465177 0.001521006 0.0014047171 0.0013822522 0.0031741585 0.000921061 0.000997706 0.001728476 0.0018011566 0.0016941179 0.0014007527 0.0022874556 0.0011311739 0.0018117282 0.0029917962 0.002313885 0.0013571443 0.0026627516 0.00091048924 0.0027922553 0.0016703316 0.0015527211 0.00088802434 0.0011602461 0.00075719936 0.00067526853 0.004417657 0.0010254567 0.009892486 0.0023641007 0.0060113436 0.0052039283 0.019132167 0.0024499958 0.0034714881 0.003118657 0.01016735 0.0014800406 0.0017179042 0.0067817573 0.004182436 0.010253246 0.019584108 0.008615951 0.0010188493 0.014803049 0.011369883 0.014044528 0.0047268798 0.002370708 0.0011813896 0.001464183 0.0030380476 0.002427531 0.010711794 0.0012448198 0.0045339456 0.0021394514 0.00072944857 0.0039485367 0.0022094892 0.0014060385 0.0024407455 0.0014192532 0.0011245665 0.0027288247 0.001034707 0.0010201709 0.001051886 0.00079948624 0.0010069562 0.0011536388 0.0011866754 0.0012329266 0.0007690925 0.0006686612 0.0012461413 0.0007690925 0.00072284124 0.00077569985 0.00075719936 0.00091973954 0.00082459406 0.0008576307 0.0005550152 0.0008179867 0.0006726256 0.00063694606 0.00068187586 0.0005550152 0.00050479954 0.00067791145 0.00087745267 0.0013161789 0.0006158026 0.0011523173 0.0010254567 0.0005299074 0.00052065717 0.000545765 0.00068187586 0.00056162255 0.0006884832 0.00077702134 0.00044797658 0.000901239 0.00042947606 0.0005669084 0.0005233001 0.00038983213 0.00048101318 0.0005669084 0.000506121 0.00056030106 0.0007558779 0.00051008543 0.0004400478 0.0016980823 0.0004426907 0.00058144453 0.00043608338 0.0005735157 0.00044929804 0.0006118382 0.0015130772 0.0005682299 0.00058673037 0.0007624852 0.0009091678 0.001725833 0.0006131597 0.0005497294 0.000599945 0.0004506195 0.00043740484 0.000827237 0.0004981922 0.0004968708 0.00045986977 0.0012408554 0.00094088295 0.0005735157 0.0009858127 0.0007915574 0.0007386988 0.000525943 0.0006990549 0.0006461963 0.00044401217 0.00048894197 0.0004968708 0.0010862441 0.00046912002 0.001538185 0.00040304678 0.00091445365 0.00093824003 0.0006171241 0.00072416273 0.0006210885 0.0005721943 0.00075719936 0.00052065717 0.000901239 0.0004876205 0.0004915849 0.0006210885 0.00053387176 0.00046383415 0.0004400478 0.0005021566 0.00089331024 0.00046119123 0.0003713316 0.0005233001 0.00069641194 0.00048894197 0.0004175829 0.00053255033 0.0019835187 0.0004730844 0.00045722682 0.000525943 0.00088406 0.00050479954 0.0015474353 0.001805121 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0010586043 3.3081385e-06 2.0510459e-05 3.6389523e-05 2.6465108e-05 1.6540693e-05 0.00013166391 4.829882e-05 3.3081385e-06 0.0 3.3081385e-06 1.984883e-06 1.984883e-06 6.616277e-07 6.616277e-07 1.3232554e-06 0.03960305 0.0012140869 0.001437717 0.0012822346 0.0018816692 0.0014052973 0.005514667 0.0023759052 0.0010612508 0.0004393208 0.0005319487 0.0006192835 0.0005815708 0.0005326103 0.0006940475 0.00044593707 0.028608121 0.00086805556 0.0036958524 0.00087533344 0.008550877 0.0063562575 0.051632103 0.026127016 0.0003083185 9.593602e-05 5.2930216e-05 5.2930216e-05 4.1020918e-05 2.9773248e-05 4.1682546e-05 3.506627e-05 0.10414417 0.009529424 0.014492294 0.0051315846 0.0051388624 0.0053128707 0.024560282 0.019961309 0.001629589 0.0012590776 0.0013536903 0.00065567304 0.00069603237 0.0015171124 0.0009745776 0.0014754297 0.16811034 0.027159818 0.025292704 0.008976303 0.0045758174 0.0062570134 0.01251932 0.020911405 0.005841511 0.0032214653 0.0041702394 0.002274676 0.0029746783 0.004491129 0.0028145644 0.0039320537 0.10083405 0.016686913 0.011390583 0.0059308307 0.004583095 0.005539147 0.0068359375 0.009888026 0.008951823 0.004034606 0.003318063 0.003289613 0.0045877267 0.0033862107 0.00331277 0.0039075734 0.03650134 0.007918361 0.0048768576 0.0034080443 0.002290555 0.002872126 0.0036270432 0.0037752476 0.004966839 0.002070233 0.0015488705 0.0018360169 0.0019590796 0.0013801554 0.0016858274 0.0019392308 0.010633681 0.001903503 0.0017658843 0.0013265635 0.00096266833 0.0013517054 0.0018254309 0.0011929148 0.001608417 0.00074631604 0.0006543498 0.0006675824 0.0006133289 0.00064310216 0.0004942359 0.0007105882 0.0009289253 0.00023223132 0.0001839325 0.0001958418 0.00014357321 0.00017996274 0.000152836 6.814765e-05 8.799649e-05 5.2930216e-05 7.6087184e-05 6.153138e-05 0.00012703252 6.086975e-05 5.6238354e-05 0.00010189067 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0002315697 0.000108506945 8.865811e-05 0.000103213926 9.593602e-05 0.00011247671 9.79209e-05 0.00012240112 9.461276e-05 6.086975e-05 4.962208e-05 3.175813e-05 4.035929e-05 4.1682546e-05 4.3667427e-05 3.175813e-05 5662.0 15.9342985 90220.0 0.0023387275 0.00046552872 9.975615e-05 0.00021059632 0.00015517624 0.0001330082 0.00014409222 0.00031035248 0.0003214365 0.00012192418 0.0002660164 0.00033252052 0.0011084017 0.00021059632 0.008013744 0.00035468853 0.006450898 0.0027931721 0.0028153402 0.0021613834 0.0022057192 0.0035247174 0.0017956108 0.001906451 0.0021502993 0.0030924408 8.867213e-05 0.00012192418 0.0018399468 0.00087563734 0.0018510309 0.00011084017 0.00012192418 0.00885613 0.0050653955 0.018953668 0.0067834184 0.007215695 0.0056306804 0.0048547992 0.0036798937 0.012347595 0.00012192418 0.0019397029 0.0037574817 0.00524274 0.0055641765 0.0042119264 0.0075925514 0.000653957 0.0074817115 0.015473288 0.007880736 0.004023498 0.0034582133 0.002527156 0.00129683 0.0001330082 0.00047661274 0.00015517624 5.5420085e-05 8.867213e-05 8.867213e-05 0.024573265 0.0007204611 0.0535358 0.010629572 0.03291953 0.026258036 0.120150745 0.009687431 0.017956108 0.011616049 0.052848592 0.00096430944 0.0075149634 0.03788517 0.021148304 0.056905344 0.056938596 0.018554645 0.0017956108 0.056062955 0.044857018 0.08581246 0.021070717 0.007415207 0.0038239858 0.0062070494 0.015595212 0.0018177788 0.00018842828 0.0001330082 0.0001995123 5.5420085e-05 5.5420085e-05 5.0648365 0.0 0.0 0.0 1.0 756736.0 786432.0 1.0 0.0 1.0 1.0 1.0 0.0 0.0 0.0 2899228400.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -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 754688.0 512.0 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 -754688.0 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 -1.7806721 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.925145 0.0 3.2511177 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 -754340.0 0.0 984.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 762436.0 984.0 770048.0 0.0 0.0 0.0 0.0 12.0 778240.0 28.0 762408.0 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: 0.30749142 0.009043068 0.006313131 0.010465988 0.015839547 0.0033982403 0.0025819722 0.0024118135 0.009341462 0.0021331478 0.0018840751 0.0016867898 0.0069962316 0.002101089 0.0014796401 0.010027028 0.0060147373 0.0011171283 0.0012009746 0.001070273 0.002951882 0.0026806148 0.0010554766 0.00081133604 0.0023698902 0.00081626815 0.00080393784 0.0009864267 0.002283578 0.0013218118 0.00074228615 0.001144255 0.0046263416 0.00079407357 0.0006485756 0.0011615176 0.0064808237 0.0013514047 0.0007718789 0.00069049874 0.0013366083 0.00054253475 0.00068310054 0.0014944365 0.0011738478 0.0011343908 0.00075215043 0.0007126933 0.0030184658 0.0016892558 0.001585681 0.0055733114 0.0020591659 0.002429076 0.0018199574 0.0014623777 0.0026041667 0.002880366 0.0016300703 0.0044315225 0.0027940539 0.0035190776 0.0022909762 0.006034466 0.0049567944 0.0020517677 0.001215771 0.001472242 0.0029765428 0.012988774 0.0035930595 0.0014426492 0.0023452297 0.0012133049 0.0007028291 0.00060172036 0.0018544823 0.0051195547 0.0014599116 0.00080640387 0.0070578833 0.0023082385 0.0009814947 0.0035141453 0.0014451152 0.002838443 0.004532631 0.0031171085 0.0018865411 0.0067816842 0.0008261324 0.0013292101 0.0013144136 0.0030850498 0.0023772884 0.0042539653 0.0016004774 0.002909959 0.0012009746 0.0024562026 0.0022687817 0.0054746685 0.0062761405 0.0010406802 0.0032552083 0.0027348683 0.0049691247 0.0006535077 0.0025992345 0.0017558397 0.0027817234 0.0024636008 0.0027052753 0.00058939 0.0032946654 0.0029814749 0.012981377 0.012715041 0.0016177399 0.0016004774 0.0020542338 0.0009001144 0.0007176255 0.00055239897 0.014387035 0.0034352313 0.0014525134 0.001583215 0.004446319 0.002170139 0.0011467211 0.01568172 0.0038396663 0.007366142 0.0005869239 0.0005721275 0.0017977628 0.009146642 0.0019679214 0.019943083 0.000848327 0.007156526 0.00061898277 0.0006510417 0.0021479442 0.0012059067 0.0009839607 0.000517874 0.0007324219 0.0006436435 0.00044142597 0.0005351365 0.00089764834 0.0008261324 0.0004315617 0.00054746686 0.00087052165 0.0005844579 0.0005080098 0.00042169745 0.0009469697 0.0014796401 0.0005055437 0.0007990057 0.00080393784 0.0006609059 0.00041923136 0.00044882417 0.0017361111 0.0011121961 0.00063131313 0.00075708254 0.000774345 0.00055239897 0.0005671954 0.00060172036 0.00076201465 0.0007200915 0.0005376026 0.0005671954 0.00080393784 0.00054006866 0.0012428977 0.0013094816 0.0014525134 0.0008261324 0.00089764834 0.0004611545 0.0011023319 0.0012133049 0.0012182371 0.0015264954 0.0077656447 0.0030505247 0.0014821062 0.0061676335 0.0036695076 0.0007768111 0.0024118135 0.0031861584 0.0024216778 0.0029592803 0.0010110874 0.00086805556 0.0010998659 0.00062391494 0.00094203756 0.0007718789 0.0018668127 0.0011171283 0.0013538707 0.00088285195 0.0011343908 0.0004562224 0.0008335306 0.0008285985 0.0028162485 0.0024857954 0.0007965396 0.0020024464 0.0021997318 0.0032921992 0.0009025805 0.00093710545 0.0039333766 0.0010826034 0.0009617661 0.0007817432 0.0021775372 0.0005992543 0.000737354 0.00056472933 0.015671855 0.0036621094 0.00074968435 0.005967882 0.0031910907 0.0005302044 0.0007052951 0.00082120026 0.003506747 0.00081873423 0.0013045494 0.0012009746 0.0028507733 0.0008384627 0.0033785116 0.0029000947 0.0052823154 0.0019062697 0.0012182371 0.0016054095 0.0048384233 0.003832268 0.005977746 0.043873798 0.18222162 7.41693e-06 1.2361551e-06 0.0 0.0 0.0 0.0 7.41693e-06 8.653085e-06 7.41693e-06 3.708465e-06 6.1807755e-06 1.2361551e-06 1.2361551e-06 0.0 1.2361551e-05 0.0024265724 6.1807755e-06 7.41693e-06 1.2361551e-05 6.1807755e-06 3.708465e-06 4.9446203e-06 9.889241e-06 1.2361551e-05 0.0 0.0 0.0 0.0 0.0 4.9446203e-06 3.708465e-05 0.00467143 3.8320806e-05 2.2250792e-05 1.483386e-05 1.3597706e-05 1.9778481e-05 1.8542325e-05 7.1696995e-05 2.966772e-05 1.8542325e-05 1.8542325e-05 2.5959256e-05 1.8542325e-05 1.6070016e-05 3.8320806e-05 2.7195412e-05 0.006634444 4.8210048e-05 4.573774e-05 3.0903877e-05 7.1696995e-05 4.079312e-05 0.00010260087 0.00023486947 3.708465e-05 8.405854e-05 3.8320806e-05 1.6070016e-05 4.079312e-05 2.4723102e-05 6.4280066e-05 8.035008e-05 0.00833663 8.9003166e-05 0.00019778482 0.00012856013 0.00016317247 0.0001347409 0.0004178204 0.00020396558 0.0002447587 1.730617e-05 1.730617e-05 1.8542325e-05 1.1125396e-05 1.1125396e-05 5.1918512e-05 8.282239e-05 0.004048408 3.461234e-05 2.7195412e-05 3.5848498e-05 9.6420095e-05 8.158624e-05 0.00021014636 0.00015822785 2.8431567e-05 9.023932e-05 5.315467e-05 2.4723102e-05 6.1807754e-05 3.0903877e-05 3.708465e-05 4.4501583e-05 0.0037504944 4.8210048e-05 5.6863133e-05 0.00043018197 8.158624e-05 8.776701e-05 4.202927e-05 9.271163e-05 6.675237e-05 4.4501583e-05 7.41693e-05 3.8320806e-05 5.4390825e-05 5.315467e-05 5.4390825e-05 8.776701e-05 0.005084306 2.2250792e-05 3.5848498e-05 0.0002892603 9.271163e-05 0.0019741396 0.0071845334 0.004709751 0.00031769185 6.304391e-05 5.933544e-05 0.00014215783 7.787777e-05 7.787777e-05 3.461234e-05 8.776701e-05 0.006200554 0.00011990704 0.00012608782 9.023932e-05 0.00062549446 0.0010816357 0.0017170194 0.0014524822 0.00021509099 7.664161e-05 0.00011249011 0.00013350474 0.00010754549 0.00015328322 0.00019407635 0.00025217564 0.009482546 0.00032387263 0.00069966377 0.001116248 0.0013263944 0.0010939973 0.0032238923 0.002105172 0.00060077134 0.00017429786 0.00016317247 0.00015081091 0.00043018197 0.00061436906 0.00024228639 0.0010371341 0.012941307 0.0005389636 0.0014487738 0.00087148935 0.0012101958 0.00085418316 0.0058420687 0.0038852354 0.000550089 0.000390625 0.00033376185 0.00040175038 0.0011075949 0.0009592563 0.0005006428 0.0010754549 0.01162233 0.0015414853 0.0016008208 0.013851117 0.0019988627 0.0016317246 0.0036108089 0.0026663865 0.001195362 0.0012546974 0.001091525 0.001035898 0.0011211926 0.0010878164 0.0009617286 0.0018295095 0.0127583565 0.0011632219 0.0008789062 0.003291881 0.0021879945 0.0010556764 0.0014413568 0.001331339 0.00161071 0.0008801424 0.0008331685 0.000693483 0.0010062302 0.00080720923 0.0011607496 0.0018109672 0.040109523 0.006052215 0.0062141516 0.0068520075 0.010367633 0.010002967 0.005325356 0.012543266 0.021296479 0.0021706882 0.0025576048 0.0028332674 0.010047468 0.0053142305 0.010901651 0.022095036 0.07970604 0.01670169 0.012408525 0.017035453 0.0258616 0.029021213 0.014597755 0.033456538 0.051191654 0.0061325654 0.006713558 0.008571499 0.024336185 0.014000692 0.027272053 0.05577779 0.0019827927 0.0006675237 0.0006156052 0.0018690665 0.00078866695 0.00067988527 0.0007614715 0.0007540546 0.00071449764 0.00091228244 0.0007565269 0.0011174842 0.0008640724 0.0008109177 0.0007182061 0.0011768197 2206.0 10.411605 22968.0 0.021900035 0.0011755485 0.0012190874 0.001349704 0.002917102 0.001044932 0.0014367816 0.0027429466 0.0030041798 0.0009578544 0.0015673981 0.0017850923 0.0019157088 0.0051811216 0.0024817137 0.0016544758 0.0106234765 0.009491466 0.007880529 0.008707767 0.009578544 0.008533612 0.0119296415 0.0065743644 0.00862069 0.007532219 0.00748868 0.00748868 0.008098223 0.007706374 0.0065308255 0.012931035 0.011450714 0.009447928 0.0044409614 0.0072709857 0.004266806 0.006138976 0.0064872866 0.0044845003 0.0064872866 0.0052681994 0.0015673981 0.0012190874 0.0043538837 0.0034831068 0.0033089516 0.0027429466 0.009535005 0.0034831068 0.0036572623 0.009273772 0.005485893 0.00374434 0.006922675 0.0062695923 0.004615117 0.006704981 0.0036137234 0.0019157088 0.0018286312 0.0021769418 0.0020463252 0.045889933 0.0036572623 0.038357716 0.012669802 0.031304423 0.020289097 0.06426332 0.014019505 0.010188088 0.013540578 0.039054338 0.008141763 0.0038314175 0.027908394 0.020637408 0.03853187 0.03365552 0.025731452 0.0013061651 0.039359108 0.035745386 0.060780216 0.017850922 0.0077934517 0.01271334 0.007967607 0.0072709857 0.0018286312 0.00078369904 0.004702194 0.0013061651 0.0010884709 0.002089864 5.8171253 0.0 0.0 0.0 2.0 405504.0 405504.0 1.0 839.0 153.0 1.0 1.0 0.0 0.0 0.0 1010230660.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 1.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 7.0 0.0 4.0 0.0 4.0 0.0 229376.0 4096.0 4096.0 6.0 0.0 0.0 2.0 2.0 0.0 0.0 0.0 0.0 0.0 -12288.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 65536.0 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 -28672.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -229376.0 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 -6.739609 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 6.274692 0.0 0.0 -0.5584263 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.277243 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.773013 0.0 3.3475664 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -10872.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 64752.0 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 -26248.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -228328.0 0.0 952.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 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 -1.0 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 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 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 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -2.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 -1.0 0.0 0.0 2.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 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 -1.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 -1.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -2.0 -1.0 0.0 -2.0 0.0 2.0 -3.0 1.0 5.0 -4.0 4.0 5.0 -4.0 3.0 0.0 -1.0 0.0 0.0 0.0 1.0 4.0 3.0 3.0 5.0 -2.0 -4.0 2.0 -2.0 0.0 0.0 -3.0 -1.0 -2.0 -1.0 1.0 3.0 0.0 4.0 5.0 -1.0 3.0 -2.0 -3.0 4.0 1.0 0.0 -7.0 -3.0 0.0 0.0 -3.0 -2.0 4.0 -1.0 -3.0 2.0 0.0 -3.0 0.0 2.0 3.0 -2.0 3.0 2.0 -1.0 -2.0 -4.0 -2.0 2.0 4.0 4.0 -3.0 -3.0 4.0 4.0 -2.0 6.0 -2.0 -1.0 5.0 -2.0 -2.0 -6.0 -3.0 0.0 2.0 6.0 -3.0 0.0 -2.0 0.0 -1.0 4.0 4.0 -1.0 -2.0 -3.0 3.0 -3.0 -4.0 2.0 0.0 1.0 -1.0 1.0 -1.0 4.0 -3.0 -5.0 2.0 -2.0 -3.0 4.0 0.0 -3.0 2.0 3.0 6.0 -1.0 -2.0 5.0 0.0 -3.0 5.0 2.0 0.0 -2.0 17456.0 236224.0 40.0 294756.0 952.0 327680.0 0.0 0.0 0.0 0.0 10872.0 331776.0 56.0 232368.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 616.0 233472.0 0.0 0.0 0.0 0.0