Input: 0.05560603 0.006950003 0.0052350154 0.0041884123 0.00470471 0.0039162557 0.0038462153 0.0050929333 0.005679271 0.003908251 0.0035800622 0.0045506214 0.0039102524 0.0046546813 0.0035040183 0.0058673797 0.0044465614 0.0036400966 0.0035420402 0.0035900678 0.003606077 0.0038722304 0.0031738281 0.0033659388 0.0036180841 0.0034679975 0.0033899527 0.0034259735 0.0034940126 0.0034039607 0.0034900103 0.0034439838 0.004900823 0.0033639376 0.003500016 0.0034659964 0.0035860655 0.0035040183 0.0033459272 0.0033879515 0.0032838916 0.0034699987 0.0033719423 0.0035020171 0.0034459848 0.0033859503 0.0036521037 0.0033779456 0.003554047 0.0034019595 0.0032618789 0.0042144274 0.0033839492 0.003568055 0.003395956 0.0033719423 0.003568055 0.0035200275 0.0035660542 0.003620085 0.003421971 0.0034639952 0.003421971 0.0033319192 0.0037161405 0.003668113 0.0033719423 0.0036380955 0.0038562212 0.0042004194 0.0037661693 0.003788182 0.0036461002 0.0034960138 0.003405962 0.0034800044 0.0036360943 0.003644099 0.003554047 0.0035800622 0.0047107134 0.0035480438 0.0033419249 0.0041643986 0.0035660542 0.0035980726 0.0042804657 0.004064341 0.003540039 0.003554047 0.00321185 0.0035620518 0.0034780034 0.0036601082 0.003540039 0.0034679975 0.0034239723 0.0041724034 0.0033239145 0.0037781761 0.0041623977 0.0049348427 0.0041643986 0.0033799468 0.004102363 0.004194416 0.004072346 0.0032999008 0.004210425 0.0035220287 0.0041503906 0.0041984185 0.003592069 0.003447986 0.0043705176 0.0041583953 0.005453141 0.0048327837 0.0035080207 0.0034499872 0.003343926 0.003578061 0.003237865 0.0033599352 0.003409964 0.003554047 0.0032818904 0.0034579919 0.0041463883 0.003395956 0.0033319192 0.004180408 0.0035500447 0.004352507 0.0035880667 0.0033139088 0.003644099 0.004246446 0.003606077 0.005098937 0.0034019595 0.0041764057 0.0033079053 0.0034179688 0.0034780034 0.0035500447 0.0033099065 0.0032358638 0.0034319768 0.0036521037 0.0032758869 0.0033259157 0.003447986 0.0032358638 0.0033279168 0.0031298029 0.0034499872 0.0033239145 0.0033199124 0.003353932 0.0033119076 0.0034139664 0.0034659964 0.0033559331 0.0033759444 0.0033939548 0.003237865 0.0033839492 0.0034760023 0.003305904 0.0036040759 0.0035320343 0.0035080207 0.00326388 0.0032278593 0.0033499296 0.0035880667 0.0033399237 0.003564053 0.0032878937 0.0037081358 0.0032678824 0.0034980148 0.0034679975 0.0034579919 0.003301902 0.0034179688 0.0032278593 0.0034179688 0.0033179112 0.0034379803 0.0032458697 0.0044745775 0.0036100794 0.0034980148 0.003616083 0.0035700563 0.0032878937 0.0033359216 0.003552046 0.003814197 0.0036420978 0.0033939548 0.003381948 0.0034800044 0.0033219135 0.0033939548 0.0033859503 0.0033599352 0.003474001 0.0033779456 0.0034760023 0.003564053 0.003407963 0.0035560483 0.0032798892 0.003395956 0.003433978 0.0034760023 0.003329918 0.0032358638 0.0033759444 0.0032558753 0.0032318616 0.003568055 0.0033799468 0.0033119076 0.0033779456 0.0034559907 0.0033599352 0.00341997 0.0032858928 0.004264456 0.0036641106 0.0033559331 0.003826204 0.0034659964 0.0033379227 0.0033099065 0.0032798892 0.0035320343 0.003185835 0.003409964 0.0033839492 0.003512023 0.0032598777 0.0034980148 0.0035320343 0.0037401544 0.0033619364 0.003353932 0.0033419249 0.0036801198 0.0035820634 0.0036481014 0.022322858 0.0123203285 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0123203285 0.0039172787 4.8126283e-05 1.6042095e-05 7.0184165e-06 1.102894e-05 6.0157854e-06 1.8047356e-05 1.7044726e-05 1.4036833e-05 0.0 1.0026309e-06 1.0026309e-06 2.205788e-05 0.0 0.0 2.8073666e-05 0.01696251 0.00019250513 0.00019852092 0.00016443146 6.517101e-05 7.118679e-05 0.00014437885 6.918153e-05 0.00012232097 5.414207e-05 7.820521e-05 6.617364e-05 9.4247305e-05 5.7149962e-05 2.6068403e-05 0.000114299924 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0025486879 2.9076296e-05 4.7123653e-05 3.408945e-05 0.00012633149 7.920784e-05 2.9076296e-05 2.8073666e-05 4.6121022e-05 9.023678e-06 5.0131544e-06 6.0157854e-06 1.2031571e-05 1.0026309e-05 3.509208e-05 0.0010617861 0.0015059516 2.205788e-05 1.4036833e-05 1.102894e-05 9.926046e-05 6.717627e-05 1.50394635e-05 1.102894e-05 0.00011931308 4.7123653e-05 9.023678e-06 1.2031571e-05 1.3034201e-05 5.3139436e-05 3.9102604e-05 1.50394635e-05 0.006609343 4.21105e-05 0.0009986204 0.00021656828 0.00016142358 0.00011229466 0.0024875272 0.0013816254 8.622626e-05 7.0184165e-06 2.0052619e-06 3.308682e-05 8.0210475e-06 3.308682e-05 3.0078927e-05 0.00011129203 0.002754227 1.0026309e-05 0.00031683137 9.926046e-05 0.00040706815 0.0002075446 0.00077403104 0.00039002343 4.7123653e-05 1.0026309e-06 4.0105238e-06 1.102894e-05 2.105525e-05 0.0 1.2031571e-05 0.0011048992 0.004905873 4.6121022e-05 0.00025867877 0.00015039464 0.00070484955 0.00038099973 0.0020132829 0.0010106519 0.00024865248 0.00016042094 2.8073666e-05 3.509208e-05 5.7149962e-05 7.619995e-05 4.411576e-05 0.00014638412 0.0010006257 2.5065772e-05 5.9155223e-05 0.00016342883 6.416838e-05 1.6042095e-05 0.00018949724 0.0001363578 0.00015139727 5.0131544e-06 3.0078927e-06 3.7097343e-05 2.0052617e-05 1.0026309e-06 1.3034201e-05 0.000168442 0.0005153523 1.102894e-05 1.0026309e-05 1.4036833e-05 0.00021155512 9.2242044e-05 0.00063466537 0.00032184453 4.21105e-05 0.0001102894 2.0052617e-05 1.2031571e-05 1.4036833e-05 1.50394635e-05 1.7044726e-05 1.2031571e-05 0.0021015145 0.00019651566 0.00039202868 0.00019350776 0.0005775154 0.00040105236 0.0007970916 0.00044316286 0.00016944463 0.00017245252 8.923415e-05 7.018416e-05 9.524993e-05 0.000105276245 0.0001363578 0.00021957616 0.010683033 0.0022318563 0.0011580387 0.0015661095 0.0021305906 0.0031532743 0.0016062147 0.0021797195 0.005427241 0.00042411286 0.0005855365 0.0010788308 0.0019842065 0.00082015205 0.0016854225 0.0043534236 0.0048146336 0.0013495412 0.00041909973 0.0009053757 0.00075097056 0.0018679014 0.0008261679 0.0012001492 0.002102517 0.00017144988 0.00049128913 0.0004832681 0.0010908624 0.00046421812 0.00097455725 0.0026218798 0.05294593 0.052868728 0.05275443 0.052654166 0.053247724 0.052938912 0.05364677 0.05294994 0.0522862 0.052791525 0.052999068 0.052807566 0.053435214 0.052693266 0.052759442 0.052217018 2361.0 6.716222 15857.0 0.011351454 0.006873936 0.009396481 0.008261336 0.007693763 0.0076306993 0.008135209 0.008891972 0.0076306993 0.0073153814 0.0075676357 0.0075676357 0.007504572 0.0067478083 0.0108469445 0.00851359 0.009459545 0.008009081 0.008828908 0.011351454 0.0067478083 0.008765845 0.008009081 0.0076306993 0.00781989 0.007504572 0.009270354 0.0075676357 0.008135209 0.008261336 0.008072144 0.0076306993 0.0083244 0.015892034 0.0072523174 0.012234344 0.018856026 0.0104054995 0.011162262 0.014441571 0.010216308 0.013873999 0.0072523174 0.007693763 0.0117298355 0.0099640535 0.012234344 0.009585672 0.014189317 0.0066847447 0.009648736 0.014378508 0.010153244 0.008450527 0.010468563 0.011099199 0.0108469445 0.008198272 0.007000063 0.00781989 0.008387463 0.009207291 0.007504572 0.0077568265 0.008261336 0.017468626 0.00781989 0.013243362 0.0155767165 0.03317147 0.010090181 0.010720817 0.010153244 0.017847007 0.008955035 0.008702781 0.019549726 0.010657754 0.017342499 0.018982153 0.010973072 0.008387463 0.0187299 0.015450589 0.024090307 0.011414518 0.008955035 0.010531627 0.009648736 0.010090181 0.0077568265 0.010657754 0.006873936 0.007000063 0.006495554 0.006495554 6.48952 0.0 0.0 0.0 4.0 499712.0 499712.0 1.0 0.0 126.0 0.0 1.0 0.0 0.0 0.0 1030620200.0 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 0.0 5.0 1.0 4.0 0.0 34816.0 1024.0 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 -1024.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -34816.0 0.0 447488.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.184279 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.6039395 0.0 7.9434037 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7140.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -34534.0 0.0 450560.0 0.0 0.0 0.0 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 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 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 -1.0 0.0 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 1.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 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 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 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 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 -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 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 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 1.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 2.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 140.0 35708.0 447100.0 49152.0 0.0 0.0 0.0 0.0 0.0 0.0 28.0 4624.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 528.0 4096.0 0.0 0.0 0.0 0.0


Input: 0.05668442 0.008296619 0.006170423 0.0056463825 0.0057530547 0.004963887 0.0041975034 0.0054154317 0.005049846 0.0056308475 0.0037490653 0.0044688443 0.0049462807 0.0031784202 0.0043217815 0.0046324776 0.005035347 0.0037614931 0.0049266033 0.004149863 0.0043518157 0.003173242 0.004108437 0.0038443455 0.00507988 0.0033441249 0.0031649568 0.0029277923 0.0041550416 0.0034404406 0.0037811706 0.0037925628 0.0061776727 0.0038132758 0.0034849737 0.0030292862 0.004888284 0.0041612554 0.0038360602 0.0037148888 0.004730865 0.0038950925 0.0033327327 0.003095568 0.0043725288 0.0037221382 0.003723174 0.0035906103 0.0055086403 0.003953089 0.0030997107 0.0029019008 0.003675534 0.003077962 0.0026895918 0.0028604746 0.0041788616 0.003319269 0.0035263998 0.0033606952 0.003992444 0.003227096 0.0035025799 0.0034507972 0.006594005 0.003956196 0.0036175374 0.0032333098 0.0041519343 0.0032167395 0.003547113 0.0030644985 0.004998063 0.0037759922 0.0037034967 0.0035843963 0.0041322573 0.003125602 0.0035595407 0.0034684034 0.0051699816 0.0036320365 0.003651714 0.003334804 0.0039251265 0.0033865867 0.0033658736 0.0035398633 0.0046428344 0.0036444643 0.0038049906 0.0035201858 0.004110508 0.0033896936 0.0036921045 0.0037925628 0.005907367 0.0036227156 0.0033461961 0.0029567904 0.004004872 0.0030562133 0.003266451 0.0030344645 0.004974243 0.003173242 0.0032105255 0.0030562133 0.0035812894 0.00284494 0.003098675 0.0031898124 0.0045123417 0.0032861282 0.003227096 0.003143208 0.0038930213 0.0033368752 0.0032923422 0.0036289296 0.004619014 0.0032923422 0.0034704746 0.0031628856 0.004042155 0.0031991333 0.0034725459 0.0033482674 0.008642527 0.0046014083 0.004019371 0.0035253642 0.0043735644 0.003436298 0.0030189296 0.0033876223 0.004544447 0.0038267393 0.002957826 0.0031949908 0.003726281 0.0028014425 0.0028459756 0.0029837175 0.0052362634 0.0032084542 0.0034922233 0.003032393 0.0036589634 0.0031815274 0.0033151265 0.003266451 0.0045485897 0.0028428687 0.0030437855 0.0027061624 0.003517079 0.003227096 0.0029857887 0.0031566715 0.0050042775 0.0034104066 0.0032788788 0.0027993713 0.003777028 0.003014787 0.0030593202 0.0031877412 0.004144685 0.0029888956 0.0031152454 0.0030137515 0.0036496427 0.002838726 0.0029143286 0.0030406783 0.0046718325 0.003122495 0.0038412386 0.0028635818 0.003561612 0.003152529 0.0029920028 0.0031235307 0.0042503215 0.003155636 0.003334804 0.0031804915 0.003651714 0.0031835986 0.0033182334 0.0033503387 0.006719319 0.00405769 0.0037252454 0.003331697 0.00411258 0.00325713 0.003310984 0.0032291673 0.0043290313 0.0033213405 0.003113174 0.0030758907 0.003642393 0.0029868244 0.0030800332 0.0027972998 0.0042472146 0.0032768073 0.0030883185 0.0029961453 0.0037138532 0.0030189296 0.002928828 0.0029360773 0.003968624 0.0031100672 0.0027320536 0.0026378091 0.0035367564 0.0029536835 0.0035843963 0.0028884374 0.0049473164 0.0032374526 0.0033896936 0.0029775035 0.0038174184 0.003071748 0.0031991333 0.002903972 0.004440882 0.005455822 0.003469439 0.0031349228 0.0037780637 0.003068641 0.0032405595 0.0031835986 0.004607622 0.0033223762 0.0034228344 0.0030365358 0.0037490653 0.0030893541 0.0033078769 0.003241595 0.0043528513 0.0030261793 0.0031784202 0.0028604746 0.004018335 0.0030966038 0.004233751 0.004515449 0.011680352 0.0 0.0 0.0 0.0 0.0 1.0377922e-06 3.1133768e-06 0.0 1.0377922e-06 2.0755845e-06 0.0 0.0 1.0377922e-06 0.0 1.0377922e-06 0.002053791 4.151169e-06 2.0755845e-06 6.2267536e-06 5.188961e-06 1.0377922e-06 3.1133768e-05 1.1415715e-05 0.0 0.0 1.0377922e-05 0.0 0.0 0.0 0.0 0.0 0.0009511366 2.5944805e-06 6.2267536e-06 1.2972403e-05 9.34013e-06 5.7078573e-06 5.1889612e-05 2.283143e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0028648255 3.580383e-05 2.8020391e-05 1.0896819e-05 2.2312533e-05 3.476604e-05 4.2549484e-05 1.8161365e-05 3.580383e-05 5.188961e-06 9.859026e-06 1.608578e-05 2.6463702e-05 7.2645457e-06 1.7123572e-05 1.2972403e-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 0.0008805667 1.19346105e-05 1.2453507e-05 8.302338e-06 1.3491299e-05 1.608578e-05 1.3491299e-05 1.1415715e-05 1.0896819e-05 1.3491299e-05 6.7456494e-06 1.3491299e-05 1.19346105e-05 1.0377922e-05 1.8161365e-05 9.859026e-06 0.0016262204 6.538091e-05 5.7078574e-05 4.8776234e-05 4.7738442e-05 3.0614872e-05 2.283143e-05 0.00055521884 3.0095975e-05 1.7123572e-05 1.9718052e-05 0.00027760942 2.0755844e-05 0.00027449604 1.6604676e-05 7.783442e-05 0.00074357813 3.736052e-05 3.4247143e-05 2.0755844e-05 2.2312533e-05 1.7123572e-05 1.4010196e-05 1.19346105e-05 1.6604676e-05 2.283143e-05 1.9199157e-05 1.7642467e-05 6.7456494e-06 4.670065e-06 2.283143e-05 5.085182e-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 0.0013195529 3.736052e-05 4.306838e-05 6.019195e-05 4.2549484e-05 3.1652664e-05 9.184462e-05 5.863526e-05 3.9436105e-05 5.759747e-05 4.410617e-05 4.306838e-05 7.835332e-05 7.783442e-06 8.821234e-06 0.0001613767 0.0011701108 6.953208e-05 4.6181754e-05 4.6181754e-05 3.8398313e-05 3.7879418e-05 4.7738442e-05 6.019195e-05 5.2408508e-05 5.085182e-05 6.8494286e-05 5.1889612e-05 7.5239936e-05 1.45290915e-05 4.410617e-05 0.0002516646 0.004586523 0.0002931763 0.00027138268 0.00027086376 0.00029992196 0.0002407678 0.0003320935 0.0003077054 0.0003315746 0.00035129266 0.00032846123 0.00035181158 0.0005214906 0.00015359325 0.00018420813 0.000739427 0.0032000323 0.00027397714 0.00030095974 0.00024907014 0.00028902513 0.0002827984 0.00034350922 0.0009345319 0.00040785235 0.00035181158 0.00032482896 0.0006698949 0.00046337425 0.00043587273 0.000174868 0.0008618865 0.002253566 0.00018213254 0.00029058184 0.00024543787 0.00029888417 0.0002952519 0.00028591175 0.0004031823 0.00044365617 0.00032327228 0.00024647565 0.00031756444 0.00046129865 0.00016189559 0.00018991598 0.0010398679 0.00034506593 5.448409e-05 4.306838e-05 4.5143963e-05 5.448409e-05 4.8257338e-05 5.34463e-05 5.1889612e-05 7.056987e-05 4.8257338e-05 3.8398313e-05 4.9295133e-05 4.4625067e-05 2.6463702e-05 4.2030584e-05 4.7219546e-05 0.09919011 0.062008604 0.06244863 0.05531329 0.060607586 0.0595755 0.05497912 0.05448098 0.06046904 0.053191002 0.05212519 0.05295283 0.0564092 0.05054619 0.056616757 0.053825613 4028.0 5.7030783 22972.0 0.017107783 0.010447501 0.009446283 0.008706251 0.013494689 0.012449939 0.011709908 0.0114487205 0.012580533 0.009794532 0.008445064 0.008619188 0.01388647 0.010578095 0.011753439 0.009881595 0.016803065 0.011840502 0.008749782 0.007530907 0.009794532 0.008532126 0.0077920947 0.008401533 0.010316907 0.008575657 0.009533345 0.008836845 0.011492251 0.00901097 0.009620408 0.009185095 0.01802194 0.0108828135 0.010447501 0.0090980325 0.010795752 0.008923908 0.010665158 0.008358001 0.014191189 0.011622845 0.009751001 0.00901097 0.011405189 0.00935922 0.011666376 0.009576877 0.014757096 0.009620408 0.009925126 0.009054502 0.012101689 0.009402751 0.009620408 0.009794532 0.013755877 0.009185095 0.010491032 0.009620408 0.01110047 0.009838063 0.01040397 0.010665158 0.017891346 0.010969876 0.009663939 0.008140345 0.013059377 0.008227407 0.00935922 0.008401533 0.015410065 0.00935922 0.008880376 0.00866272 0.011318127 0.008009751 0.009881595 0.007966219 0.013277033 0.008053282 0.008706251 0.008749782 0.0114487205 0.009489814 0.008183876 0.0079226885 0.010926345 0.008923908 0.011971096 0.008532126 0.011187533 0.009141563 0.009925126 0.008880376 6.554942 0.0 0.0 0.0 14.0 965574.0 2072576.0 0.0 0.0 2.0 0.0 1.0 0.0 0.0 0.0 1504401000.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 40.0 1.0 6.0 0.0 4.0 0.0 4.0 0.0 192512.0 4096.0 4096.0 6.0 0.0 0.0 4.0 6.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 94208.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 831488.0 0.0 0.0 16384.0 0.0 0.0 4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -0.7120981 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 7.959737 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.042169247 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 7.86137 0.0 0.0 7.523454 0.0 0.0 0.22095801 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 204800.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 995328.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 831488.0 0.0 0.0 27980.0 0.0 0.0 4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 3.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 149.0 237677.0 27980.0 208896.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0


Input: 0.36912537 0.0065307617 0.00061035156 0.00061035156 0.000579834 0.0004119873 0.00036621094 0.00044250488 0.00048828125 0.00038146973 0.00024414062 0.00030517578 0.00035095215 0.0002746582 0.0002746582 0.0002746582 0.0005950928 0.00015258789 0.0002746582 0.00030517578 0.0002593994 0.00019836426 0.00033569336 0.00030517578 0.00036621094 0.00022888184 0.000289917 0.00032043457 0.0002593994 0.000289917 0.00033569336 0.00021362305 0.052947998 0.0002593994 0.0010223389 0.0004272461 0.0005187988 0.00038146973 0.0005187988 0.000289917 0.0011291504 0.0010986328 0.00045776367 0.000289917 0.001083374 0.0022888184 0.007751465 0.00050354004 0.006958008 0.0040740967 0.0018005371 0.0011138916 0.0034942627 0.0012359619 0.0010986328 0.0008087158 0.0010375977 0.000869751 0.0035858154 0.00039672852 0.0011749268 0.0006866455 0.0012054443 0.00033569336 0.00065612793 0.0015411377 0.004699707 0.002670288 0.0031738281 0.0027923584 0.0023651123 0.00065612793 0.0007171631 0.0027618408 0.00035095215 0.0002746582 0.0011444092 0.0046844482 0.0018463135 0.0015411377 0.0039978027 0.00022888184 0.0013427734 0.0060272217 0.0029449463 0.00093078613 0.0014343262 0.0008087158 0.00036621094 0.00024414062 0.0002593994 0.00015258789 0.00019836426 0.000289917 0.0002593994 0.0002593994 0.00024414062 0.032287598 0.0033874512 0.00680542 0.01586914 0.05456543 0.0074920654 0.011459351 0.0049438477 0.029388428 0.0042419434 0.010147095 0.020339966 0.010635376 0.03555298 0.023361206 0.007827759 0.00018310547 0.034622192 0.020629883 0.048736572 0.009597778 0.0075531006 0.0006713867 0.00091552734 0.0025177002 0.00024414062 0.0066375732 0.00018310547 0.0066986084 0.00021362305 0.00012207031 0.00024414062 0.00016784668 0.00010681152 0.00010681152 0.00022888184 0.00024414062 6.1035156e-05 0.00010681152 0.00019836426 0.0001373291 0.00010681152 0.00018310547 0.00015258789 6.1035156e-05 7.6293945e-05 0.00018310547 0.00019836426 0.0001373291 0.00018310547 0.00018310547 0.00012207031 0.00010681152 0.0001373291 9.1552734e-05 7.6293945e-05 0.00016784668 0.00019836426 9.1552734e-05 6.1035156e-05 7.6293945e-05 9.1552734e-05 0.00010681152 0.00018310547 9.1552734e-05 0.00018310547 0.00016784668 0.0057525635 0.0038452148 0.00015258789 0.00015258789 0.00021362305 0.0001373291 0.00016784668 0.0001373291 0.00018310547 0.00019836426 0.0002746582 0.00010681152 0.0001373291 0.0001373291 0.00012207031 0.00022888184 7.6293945e-05 0.00019836426 0.0031433105 0.00016784668 0.00021362305 0.0001373291 0.00022888184 0.00012207031 0.00010681152 0.00024414062 9.1552734e-05 0.00012207031 0.00012207031 0.00015258789 0.00010681152 0.012588501 0.00016784668 9.1552734e-05 0.00010681152 0.00010681152 0.00015258789 0.0001373291 0.00010681152 0.00016784668 0.0001373291 9.1552734e-05 0.00016784668 0.0001373291 0.00016784668 0.00018310547 0.0001373291 9.1552734e-05 0.00016784668 6.1035156e-05 0.00019836426 0.00012207031 0.00010681152 0.00010681152 6.1035156e-05 0.00021362305 0.00015258789 0.00015258789 0.00015258789 0.00016784668 0.00019836426 0.00010681152 0.00012207031 0.00012207031 0.00019836426 0.00024414062 0.00019836426 0.00022888184 0.0002593994 0.00015258789 0.00024414062 0.0001373291 0.00016784668 7.6293945e-05 0.00012207031 0.00018310547 0.00010681152 0.0001373291 0.00015258789 9.1552734e-05 0.00012207031 9.1552734e-05 0.0001373291 0.0001373291 0.0001373291 0.0001373291 0.00016784668 0.00015258789 9.1552734e-05 0.00021362305 4.5776367e-05 0.00016784668 0.12693763 0.0 0.0 1.5500993e-05 1.5500993e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.5500993e-05 0.0 0.015345982 0.0 4.6502977e-05 0.00011625744 8.525546e-05 3.1001986e-05 0.00013950893 0.00010075645 0.0 0.0 7.7504965e-06 0.0 0.0 0.0 0.0 0.0 0.014904204 9.3005954e-05 0.00018601191 7.7504965e-06 0.00013175844 5.4253473e-05 0.0002092634 0.00011625744 7.7504965e-06 7.7504965e-06 1.5500993e-05 3.875248e-05 2.3251489e-05 1.5500993e-05 3.875248e-05 2.3251489e-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 0.012687562 5.4253473e-05 0.00024026538 0.00017826141 0.00035652283 0.00015500993 0.0015035962 0.0006045387 2.3251489e-05 0.0 1.5500993e-05 1.5500993e-05 0.0 0.0 3.1001986e-05 7.7504965e-06 0.012160528 5.4253473e-05 0.00028676837 0.00029451886 0.00044177828 0.00018601191 0.0016431052 0.0007052951 2.3251489e-05 0.0 2.3251489e-05 1.5500993e-05 0.0 0.0 3.1001986e-05 7.7504965e-06 0.011455233 4.6502977e-05 0.00032552084 0.00025576638 0.0003952753 0.00032552084 0.0015811012 0.0007052951 0.00012400794 0.00012400794 4.6502977e-05 0.000108506945 0.00010075645 8.525546e-05 0.00011625744 7.750496e-05 0.035536025 0.00033327134 0.0007052951 0.00055803574 0.0027746775 0.0018523686 0.013323103 0.0067894347 0.00017826141 0.00017826141 0.00028676837 0.00013175844 0.0002092634 0.0002092634 0.00025576638 0.00017051092 0.10132998 0.0010773189 0.009075831 0.0040767607 0.011982267 0.00796751 0.075187564 0.038612973 0.00030226936 0.0001937624 0.0013253348 0.0006355407 0.0014803448 0.00022476439 0.0002480159 0.0002480159 0.020577567 0.0007828001 0.05268012 0.01970951 0.012315538 0.006541419 0.15804036 0.08786737 0.00046502976 0.00027126737 0.007843502 0.002828931 0.010346912 0.00022476439 0.0002480159 0.0002092634 0.0069289436 0.00010075645 0.0029606896 0.0010385665 0.0010463169 0.0007672991 0.011230469 0.006394159 3.875248e-05 1.5500993e-05 0.00047278026 0.00013175844 0.00057353673 0.0 7.7504965e-06 3.875248e-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 0.010796441 0.001123822 0.0025111607 0.001968626 0.0012555803 0.000922309 0.0054563493 0.0033869667 0.00045727927 0.0004030258 0.0007672991 0.00051928323 0.00064329116 0.00048828125 0.0005967882 0.00044952877 0.0006200397 0.00024026538 0.0016818576 0.000999814 0.00068204367 0.00051153277 0.0048363097 0.0029141866 0.00026351688 0.00033327134 0.00052703376 0.00044952877 0.00067429314 0.00037202382 0.00044177828 0.00032552084 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0031389508 0.0008060516 0.0012090774 0.001123822 0.0007672991 0.00068979413 0.0016586061 0.0013795883 0.00051153277 0.00052703376 0.0007905506 0.0006510417 0.00069754466 0.00064329116 0.0007362971 0.00054253475 1022.0 25.806263 26374.0 0.12830818 3.791613e-05 0.0014028968 0.00034124518 0.00018958065 0.00034124518 3.791613e-05 0.0002654129 0.0018578904 0.0015166452 0.000113748385 0.0002654129 0.0015924774 0.0051186774 0.015811026 0.00045499354 0.01596269 0.009441116 0.0035262 0.0019716388 0.007128232 0.0024266322 0.0015545613 0.0012512322 0.0012512322 0.0012133161 0.007583226 3.791613e-05 0.0016683097 0.00094790326 0.0018199742 0.0002654129 0.0003791613 0.0015924774 0.008341548 0.0011754 0.004057026 0.0021991355 0.00094790326 0.00094790326 0.00045499354 0.0012512322 0.00030332903 0.00041707742 0.00068249035 0.008303632 0.00060665805 0.0014028968 0.0029574581 0.00015166451 0.0010616516 0.008796542 0.0011374839 0.00087207096 0.0013649807 0.0002654129 0.00022749677 0.00015166451 0.00018958065 0.00015166451 0.000113748385 0.0002654129 3.791613e-05 0.00015166451 0.000113748385 0.0575946 0.0064078257 0.007848639 0.026503375 0.098278604 0.014711458 0.02195344 0.008000303 0.050618034 0.0072040646 0.022105103 0.033783272 0.019716388 0.06684614 0.03086373 0.0124364905 7.583226e-05 0.05751877 0.036778647 0.09088496 0.0124364905 0.01459771 0.0004929097 0.0004929097 0.0025403807 0.0 0.01626602 3.791613e-05 0.016228104 0.0 0.0 4.799237 0.0 0.0 0.0 2.0 65536.0 81920.0 0.0 0.0 1.0 1.0 1.0 0.0 0.0 0.0 1518223700.0 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 1.0 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 -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 53248.0 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 -53248.0 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 -5.1542583 0.0 3.4325964 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 -51012.0 0.0 1184.0 0.0 0.0 0.0 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 83.0 59112.0 1184.0 65536.0 0.0 0.0 0.0 0.0 12.0 73728.0 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: 0.13542639 0.015824199 0.010063614 0.007872421 0.011820779 0.004375907 0.00406982 0.0035596755 0.012292055 0.002333709 0.0021053585 0.0020810661 0.008887853 0.0026608494 0.0017895548 0.0072699655 0.006806786 0.0014980437 0.0011271766 0.0010704938 0.0037426797 0.0035953047 0.0012939858 0.00093931385 0.0029151118 0.0009214993 0.00096198695 0.0011482302 0.0024049673 0.0009441724 0.0009474114 0.0011919569 0.0036131192 0.00060245645 0.00080165575 0.0010316258 0.0051727043 0.0010445818 0.00089072867 0.0008081338 0.0017765987 0.0006380856 0.0008000363 0.0024049673 0.0013701026 0.0007595486 0.00094255287 0.00066561723 0.0026138837 0.0010024746 0.0009959965 0.0072343363 0.0020438174 0.0014251658 0.0010704938 0.0010623963 0.0023482847 0.002941024 0.001195196 0.0042495853 0.002557201 0.0016729503 0.0011190791 0.0010656354 0.0038851965 0.0043661897 0.0012907467 0.0011417522 0.0031353647 0.024046434 0.003794504 0.0016778088 0.00328274 0.0018559546 0.008419815 0.0013069418 0.0031305063 0.019255934 0.0024567915 0.001109362 0.017604036 0.0052812113 0.0026802835 0.0040552444 0.0015320532 0.005140314 0.005533854 0.004277117 0.0016162676 0.0040762983 0.0007012464 0.002094022 0.002077827 0.0053087426 0.0041216444 0.0029523605 0.001572541 0.0011223181 0.00067047577 0.000974943 0.0021361292 0.0028649073 0.0026576105 0.00069800735 0.0080732405 0.0011368936 0.0064504948 0.00081623136 0.0018883448 0.00079355825 0.0012502591 0.0012162494 0.001601692 0.00058302237 0.0019223543 0.0016065505 0.009943771 0.011279863 0.0015482483 0.00098466 0.0018656716 0.0010834499 0.00057492487 0.0007125829 0.0017393501 0.003736202 0.001851096 0.0013636246 0.0045281406 0.0024875621 0.0008518605 0.01588898 0.004105449 0.009631206 0.0013846782 0.00067857327 0.0027402053 0.013422471 0.002212246 0.036876164 0.0012826492 0.028185893 0.0016405602 0.00074173405 0.0013846782 0.0005247202 0.00047775445 0.0004907105 0.0013150393 0.001454317 0.00067047577 0.0006186515 0.0011660447 0.0009020652 0.0004615594 0.00051986164 0.0011579472 0.0007125829 0.0006510417 0.0005587298 0.0012583566 0.0022996995 0.00051824213 0.0010818305 0.0014057318 0.0008048948 0.00070934393 0.0006397051 0.0014041122 0.00068829034 0.0018899642 0.001847857 0.0013053224 0.0005101446 0.0005441542 0.0008000363 0.0015061412 0.00054901274 0.00060245645 0.00072229997 0.0014899462 0.00092959683 0.0019013007 0.0013312345 0.0032147206 0.000978182 0.0010802109 0.00083404593 0.0015304338 0.0011028841 0.0013636246 0.0011466107 0.008445727 0.0037961234 0.003535383 0.005297406 0.0072748237 0.0013053224 0.011506595 0.005524137 0.0027742148 0.0026738055 0.00094903086 0.0012259665 0.014774759 0.001106123 0.0023385675 0.0014656535 0.002576635 0.0014850876 0.001697243 0.0012583566 0.0020924027 0.00081623136 0.0010737329 0.0010494404 0.002570157 0.0010737329 0.0008518605 0.0019790372 0.002445455 0.00064456364 0.0009036847 0.00094255287 0.0030300969 0.00087615306 0.00091016275 0.0007579291 0.0032940765 0.0018899642 0.0009134017 0.0007676461 0.03142005 0.0026592298 0.00084376294 0.0042916927 0.0068132645 0.00074173405 0.0008518605 0.0008194704 0.004309507 0.0017474476 0.00089882617 0.0014607949 0.0029102534 0.0010413427 0.0023758162 0.002356382 0.0052148113 0.0020179052 0.0012794102 0.0025248108 0.015893837 0.0033410422 0.0054042935 0.05938407 0.009966778 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0014672771 1.3788673e-05 1.1355378e-05 8.922083e-06 9.733181e-06 6.488787e-06 1.9466363e-05 1.2166476e-05 4.055492e-06 4.9477003e-05 2.4332953e-06 4.055492e-06 1.7033068e-05 1.054428e-05 2.027746e-05 4.055492e-06 0.0013902227 1.2977574e-05 1.2166476e-05 5.677689e-06 6.4076776e-05 4.8665906e-06 9.733181e-06 2.6766247e-05 1.3788673e-05 1.7844166e-05 2.108856e-05 2.4332952e-05 1.054428e-05 8.110984e-06 9.733181e-06 2.9199544e-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 0.0024957499 1.9466363e-05 1.7844166e-05 0.00023278524 0.00018574153 2.9199544e-05 3.1632837e-05 3.731053e-05 2.9199544e-05 4.2988217e-05 3.731053e-05 2.8388446e-05 2.4332952e-05 3.0010642e-05 2.3521854e-05 5.677689e-05 0.00442292 0.00018330825 0.00022548536 9.976511e-05 0.0003033508 0.00012247586 0.0004988255 0.00026441808 3.649943e-05 2.8388446e-05 6.0021284e-05 3.0010642e-05 0.0001030095 4.217712e-05 5.1910298e-05 0.00017195287 0.005553591 0.00028956213 0.00022386317 0.00017681945 0.0002579293 0.00015005321 0.00042663777 0.00032362828 0.000148431 0.000108687185 0.00038851614 8.9220826e-05 0.00020277461 0.00011274268 0.00014924211 0.0013650786 0.0050661205 0.00017763056 0.0010382059 0.0005069365 0.00053856935 0.00036499428 0.002405718 0.0013488567 0.00012653135 6.651007e-05 0.00018249714 9.570961e-05 0.00019060813 0.00014924211 0.00013220904 0.00089869706 0.0063663116 0.00042663777 0.00042096007 0.00026847358 0.0009798069 0.0004525929 0.002233765 0.0014697104 0.00021575218 0.00022710756 0.0006561786 0.00029523982 0.0006302235 0.00075675483 0.00089220825 0.003641832 0.0036118212 0.00028469553 0.0002676625 0.0027991007 0.00024819613 0.00029361763 0.00043637096 0.00042582667 0.000502881 0.0003512056 0.00038608286 0.00044529303 0.001451055 0.0008548977 0.0008370536 0.0017544059 0.010542657 0.0009854846 0.0008719308 0.00080379855 0.0020829008 0.0022272763 0.0010276617 0.0013667009 0.0057547432 0.0006715895 0.00073161075 0.0011152603 0.0035331447 0.0012896465 0.00242194 0.007763023 0.11899382 0.016884636 0.011395122 0.01594214 0.049189873 0.041519318 0.015488735 0.020553233 0.07861652 0.005646056 0.007357474 0.009984622 0.044692334 0.010390171 0.034792066 0.061743245 0.059520837 0.010309061 0.0069324584 0.011739839 0.028418455 0.021893168 0.009807802 0.014235589 0.03933665 0.003979249 0.0058609974 0.0061205486 0.021179402 0.007757345 0.019304143 0.03260778 0.0026393142 0.0019214922 0.0019044591 0.0020391014 0.0019596138 0.002035857 0.0019377142 0.0022954086 0.001978269 0.0018858039 0.002043157 0.0020545123 0.0019904354 0.002069923 0.0022516092 0.002215921 1077.0 10.42247 11225.0 0.052561246 0.0024053452 0.0057906457 0.002494432 0.008552339 0.001870824 0.0016035634 0.0048997775 0.006592428 0.0022271716 0.0016035634 0.0051670377 0.0045434297 0.0060579064 0.007839643 0.004365256 0.010868597 0.0055233855 0.007216036 0.010244989 0.012026726 0.0059688194 0.005879733 0.0067706015 0.010423163 0.013184856 0.007483296 0.008463251 0.009532294 0.008374165 0.009888642 0.0070378617 0.0054342984 0.0070378617 0.0017817372 0.009086859 0.010244989 0.009086859 0.008106904 0.0053452114 0.009977728 0.006948775 0.01051225 0.0023162584 0.00623608 0.005612472 0.005701559 0.0045434297 0.021737194 0.009799555 0.006592428 0.022093542 0.008195991 0.0061469935 0.01648107 0.013273942 0.0024053452 0.005256125 0.0024053452 0.0034743876 0.0046325168 0.0054342984 0.0048106904 0.006592428 0.007216036 0.025567928 0.007216036 0.023429845 0.019510021 0.055679288 0.0086414255 0.005612472 0.020757237 0.024498885 0.012383074 0.0040089088 0.024320712 0.009532294 0.026191536 0.030645879 0.01363029 0.0016926504 0.03376392 0.025033407 0.052561246 0.017104678 0.0073051224 0.004454343 0.007483296 0.006948775 0.0022271716 0.0027616927 0.0046325168 0.0034743876 0.0035634744 0.0033853007 6.0750256 1.0 4.0 0.0 4.0 617472.0 176128.0 1.0 0.0 109.0 1.0 1.0 0.0 0.0 0.0 1524006300.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 10.0 0.0 5.0 1.0 5.0 1.0 74752.0 1024.0 4096.0 5.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -11776.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 16896.0 0.0 0.0 0.0 0.0 0.0 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 -74752.0 0.0 41984.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.8437748 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.3690495 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3.1550233 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.611881 0.0 7.0881724 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -11684.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 16726.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -13488.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -74604.0 0.0 41632.0 0.0 0.0 0.0 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 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 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 -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 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 2.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 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 -1.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 54.0 98592.0 160.0 95908.0 41632.0 118784.0 0.0 0.0 12616.0 1172312.0 3632.0 163840.0 28.0 82480.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 93384.0 0.0 0.0 464.0 81920.0 0.0 0.0 0.0 0.0


Input: 0.056639835 0.008299408 0.0061697094 0.0056481506 0.0057537043 0.004966192 0.004198341 0.005422556 0.005046909 0.00562228 0.003750256 0.004471539 0.0049485997 0.003172816 0.0043204525 0.004637113 0.0050396654 0.0037575 0.004937216 0.004164192 0.0043639154 0.0031759206 0.0041072755 0.0038299388 0.0050779544 0.0033435645 0.0031748856 0.0029296288 0.004143495 0.003435665 0.00378958 0.0037947542 0.0061697094 0.0038185555 0.003488442 0.0030196598 0.004883405 0.0041610873 0.0038423568 0.00372542 0.004728179 0.0038951335 0.0033311464 0.0031055515 0.0043721944 0.0037192109 0.0037233504 0.003583647 0.0055156914 0.0039499803 0.0030889942 0.002895479 0.003674713 0.0030848547 0.0026885115 0.0028633992 0.0041766097 0.00330838 0.0035112083 0.0033508083 0.004002757 0.0032349064 0.0035060341 0.0034542922 0.006601237 0.003955154 0.0036250406 0.0032338714 0.004154878 0.0032224883 0.003539149 0.0030714017 0.004993098 0.0037668135 0.0037078278 0.0035815774 0.0041383207 0.0031252133 0.0035598457 0.0034646406 0.005164881 0.0036240057 0.003647807 0.0033249373 0.003930318 0.0033797838 0.003359087 0.0035401839 0.0046422873 0.0036498767 0.003809242 0.0035039645 0.004111415 0.0033870277 0.0036892006 0.0037875103 0.005909965 0.0036312495 0.0033414948 0.0029534302 0.0040110354 0.0030465657 0.0032711257 0.0030300082 0.004971366 0.003160398 0.0031904082 0.0030538095 0.0035753683 0.0028478766 0.003095203 0.0031893735 0.004515002 0.0032866483 0.0032224883 0.0031355617 0.0038868547 0.0033280419 0.0032897529 0.0036250406 0.0046267645 0.0032918225 0.0034801632 0.0031686767 0.004034837 0.0031904082 0.0034677451 0.0033435645 0.008638835 0.0046019284 0.0040131053 0.0035205218 0.004368055 0.0034418742 0.0030155205 0.003391167 0.004546047 0.003841322 0.0029679178 0.0031821295 0.0037285245 0.0027992392 0.0028427024 0.002980336 0.0052249017 0.0032162792 0.0034925812 0.003025869 0.0036653993 0.0031831644 0.0033032058 0.0032731954 0.0045429426 0.0028437374 0.0030434611 0.0027071384 0.003519487 0.003230767 0.0029761966 0.0031500496 0.0050127595 0.0034191078 0.0032721607 0.002800274 0.0037709528 0.0030165554 0.0030548444 0.0031841993 0.004135216 0.0029979283 0.0031252133 0.003013451 0.0036519463 0.0028395979 0.0029172108 0.0030372522 0.004669193 0.0031158999 0.003841322 0.0028561554 0.0035691594 0.003160398 0.0029844753 0.0031179695 0.0042562922 0.0031500496 0.0033383903 0.0031697114 0.0036509116 0.0032007566 0.0033301115 0.00334046 0.0067129997 0.004058638 0.0037233504 0.003334251 0.004121763 0.0032607773 0.003301136 0.003236976 0.0043318355 0.0033321811 0.0031241786 0.0030745063 0.0036374587 0.0029855103 0.0030848547 0.002794065 0.0042552575 0.0032794045 0.0031014122 0.0030010329 0.0037109323 0.0030237993 0.0029379076 0.0029513605 0.0039717117 0.0031127953 0.0027309398 0.0026346997 0.0035370793 0.0029523952 0.0035929605 0.0028861656 0.0049537737 0.0032556031 0.003397376 0.0029689528 0.003808207 0.0030734716 0.003198687 0.0029047928 0.004443598 0.0054494618 0.0034656755 0.0031303875 0.0037937195 0.00308382 0.003243185 0.0031821295 0.004612277 0.0033228677 0.0034139336 0.0030403566 0.0037430122 0.003095203 0.0033259722 0.0032514639 0.004359776 0.0030455308 0.003185234 0.0028613296 0.0040131053 0.0030972727 0.004225247 0.0045118975 0.011667952 0.0 0.0 0.0 0.0 0.0 1.0366906e-06 3.1100717e-06 0.0 1.0366906e-06 2.0733812e-06 0.0 0.0 1.0366906e-06 0.0 1.0366906e-06 0.0020516105 4.1467624e-06 2.0733812e-06 6.2201434e-06 5.1834527e-06 1.0366906e-06 3.1100717e-05 1.1403596e-05 0.0 0.0 1.0366905e-05 0.0 0.0 0.0 0.0 0.0 0.0009501269 2.5917263e-06 6.2201434e-06 1.29586315e-05 9.330215e-06 5.701798e-06 5.1834526e-05 2.2807191e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0028617843 3.5765825e-05 2.7990645e-05 1.0885251e-05 2.2288847e-05 3.4729135e-05 4.250431e-05 1.8142086e-05 3.5765825e-05 5.1834527e-06 9.848561e-06 1.6068703e-05 2.643561e-05 7.2568337e-06 1.7105394e-05 1.29586315e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00087963196 1.1921941e-05 1.2440287e-05 8.293525e-06 1.3476977e-05 1.6068703e-05 1.3476977e-05 1.1403596e-05 1.0885251e-05 1.3476977e-05 6.7384885e-06 1.3476977e-05 1.1921941e-05 1.0366905e-05 1.8142086e-05 9.848561e-06 0.0016244941 6.5311506e-05 5.701798e-05 4.8724454e-05 4.7687765e-05 3.058237e-05 2.2807191e-05 0.0005546294 3.0064026e-05 1.7105394e-05 1.9697121e-05 0.0002773147 2.073381e-05 0.00027420465 1.658705e-05 7.775179e-05 0.0007427888 3.732086e-05 3.421079e-05 2.073381e-05 2.2288847e-05 1.7105394e-05 1.3995323e-05 1.1921941e-05 1.658705e-05 2.2807191e-05 1.9178775e-05 1.7623739e-05 6.7384885e-06 4.6651076e-06 2.2807191e-05 5.0797837e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0013181521 3.732086e-05 4.3022657e-05 6.012805e-05 4.250431e-05 3.1619064e-05 9.174711e-05 5.8573016e-05 3.9394243e-05 5.7536326e-05 4.4059347e-05 4.3022657e-05 7.827014e-05 7.775179e-06 8.8118695e-06 0.00016120537 0.0011688686 6.945827e-05 4.613273e-05 4.613273e-05 3.835755e-05 3.7839207e-05 4.7687765e-05 6.012805e-05 5.2352872e-05 5.0797837e-05 6.842158e-05 5.1834526e-05 7.516007e-05 1.4513667e-05 4.4059347e-05 0.00025139746 0.0045800987 0.00029234673 0.0002736863 0.00026642947 0.00030582372 0.00023843882 0.0003296676 0.00030426867 0.00032603918 0.00035195643 0.00032500247 0.00035351148 0.00051938195 0.00015757697 0.00018815933 0.0007417521 0.0031966353 0.0002736863 0.00030064027 0.00024880574 0.00028871832 0.00028249816 0.00034314458 0.0009335398 0.0004074194 0.0003514381 0.00032448414 0.00066918373 0.00046288234 0.00043541004 0.00017468235 0.0008609715 0.0022511736 0.00018193919 0.00029027337 0.0002451773 0.00029856688 0.00029493845 0.00028560826 0.0004027543 0.0004431852 0.00032292912 0.000246214 0.0003172273 0.00046080895 0.00016172373 0.00018971437 0.0010387639 0.0003446996 5.4426255e-05 4.3022657e-05 4.509604e-05 5.4426255e-05 4.820611e-05 5.338956e-05 5.1834526e-05 7.0494956e-05 4.820611e-05 3.835755e-05 4.92428e-05 4.4577693e-05 2.643561e-05 4.1985968e-05 4.716942e-05 0.09916723 0.06202105 0.062455423 0.055308998 0.060609594 0.059537657 0.054959632 0.054453727 0.060468607 0.053172376 0.05215331 0.052951563 0.0564421 0.05058428 0.056653585 0.053859185 4035.0 5.703098 23012.0 0.017164957 0.010603163 0.009429863 0.008647662 0.013471233 0.012471754 0.011863376 0.0114722755 0.012558665 0.009777508 0.008517295 0.00886494 0.013818877 0.010516252 0.011689553 0.009864419 0.01664349 0.0119068315 0.008691118 0.007474361 0.009864419 0.008560751 0.007908917 0.008386929 0.010255519 0.00847384 0.009560229 0.008908396 0.01142882 0.009038762 0.009603685 0.009256041 0.018251346 0.010820442 0.010385886 0.008995307 0.010820442 0.008821485 0.01073353 0.008300018 0.014209977 0.0116460975 0.009734052 0.008951851 0.011515731 0.009299496 0.0116460975 0.009560229 0.014731444 0.009560229 0.009907874 0.009038762 0.012167565 0.009342952 0.009560229 0.009777508 0.013645055 0.009256041 0.010516252 0.009560229 0.01112463 0.009820963 0.010429341 0.010646619 0.017903702 0.010994264 0.00964714 0.008169651 0.013036677 0.008213107 0.009342952 0.008300018 0.015383278 0.009299496 0.008908396 0.008691118 0.011341909 0.008169651 0.010038241 0.0078654615 0.013167043 0.007995828 0.008647662 0.008778029 0.011385364 0.009429863 0.008343473 0.007995828 0.01112463 0.008908396 0.0119068315 0.00847384 0.011254997 0.008995307 0.010038241 0.008778029 6.554845 0.0 0.0 0.0 14.0 966334.0 2072576.0 0.0 0.0 2.0 0.0 1.0 0.0 0.0 0.0 1504401000.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 40.0 1.0 6.0 0.0 4.0 0.0 4.0 0.0 192512.0 4096.0 4096.0 6.0 0.0 0.0 4.0 6.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 94208.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 831488.0 0.0 0.0 16384.0 0.0 0.0 4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -0.7120981 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 7.959737 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.042169247 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 7.86137 0.0 0.0 7.523454 0.0 0.0 0.22095801 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 204800.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 995328.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 831488.0 0.0 0.0 27980.0 0.0 0.0 4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 3.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 149.0 237677.0 27980.0 208896.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0


Input: 0.15039507 0.0068936436 0.00217951 0.0026367188 0.0029208097 0.0015225497 0.0015491833 0.00205522 0.0028941762 0.0016246449 0.0037686434 0.0015536222 0.0017666903 0.0013094816 0.0012162642 0.0016113281 0.0017533735 0.000838956 0.000838956 0.00072354404 0.001060902 0.0010697799 0.0009321733 0.0008700284 0.0014248935 0.001176314 0.0010653409 0.001340554 0.0014160157 0.0020907316 0.0014781605 0.0017800072 0.0025257457 0.0019042969 0.001677912 0.0021617543 0.0029252486 0.0020818538 0.0023925782 0.0022549715 0.0025390624 0.0021617543 0.002450284 0.0023037996 0.0025390624 0.002281605 0.0022682883 0.00217951 0.002734375 0.00234375 0.0021395597 0.0030362215 0.0021439986 0.0026367188 0.0020330255 0.0020862927 0.0020907316 0.0020463422 0.001615767 0.0023215555 0.0018199574 0.0014204546 0.0014071378 0.0011674361 0.0023215555 0.0007146662 0.00057705963 0.0005637429 0.0009854403 0.0013361151 0.0005814986 0.00096768467 0.00031960226 0.00075461646 0.00025745737 0.00022194603 0.000670277 0.00069247157 0.0009099787 0.00034179687 0.0022549715 0.0003861861 0.00028852982 0.0017578125 0.0007457386 0.0030362215 0.0009410511 0.00083007815 0.00043057528 0.0006747159 0.00035955256 0.0013627486 0.00037730823 0.0005859375 0.0007013494 0.0013183594 0.00092773436 0.003178267 0.00057705963 0.00062144885 0.0006969105 0.0014470881 0.0008433949 0.0006658381 0.00086115056 0.0009055398 0.0010919744 0.0007412997 0.001176314 0.0006525213 0.0010298295 0.00095880684 0.00065696024 0.0003062855 0.0012340199 0.00065696024 0.0019220526 0.0017711293 0.0003506747 0.00062144885 0.00048384233 0.00044833097 0.00039506392 0.00034623579 0.00041725853 0.0004350142 0.0004350142 0.00065696024 0.0019087358 0.0005992543 0.000949929 0.001677912 0.0009099787 0.0011807529 0.00046164772 0.00047940342 0.0015314276 0.0059437146 0.0009987571 0.0030894887 0.0010830966 0.001673473 0.0010431464 0.0017356179 0.001393821 0.00092329545 0.0010475853 0.0014470881 0.0014559659 0.0018732244 0.002281605 0.0017977628 0.0018377131 0.0019087358 0.0017578125 0.0022727272 0.002574574 0.0018954191 0.0018022017 0.0019930752 0.0014737216 0.0017622514 0.0013183594 0.0016068892 0.0009765625 0.0010964134 0.0011940696 0.0003062855 0.00039950284 0.00068359374 0.0007013494 0.00044833097 0.00043057528 0.00076793326 0.00089666195 0.0015269887 0.0020419033 0.0008123224 0.0006303267 0.0007856889 0.000612571 0.0006658381 0.0006036932 0.00083007815 0.0009810014 0.0007102273 0.0011274858 0.0006747159 0.000670277 0.0009099787 0.026788885 0.0012118253 0.0023792614 0.0016024503 0.0015314276 0.0020241477 0.0014870383 0.0011807529 0.0014204546 0.0019797585 0.0010120738 0.0019398083 0.0011985085 0.0014293324 0.0018288352 0.0011319247 0.0015891335 0.0015314276 0.0014293324 0.0011629972 0.0010475853 0.0012650923 0.0013094816 0.0012739701 0.00092329545 0.003231534 0.0013006037 0.0011008523 0.00082120026 0.027334873 0.0026855469 0.002228338 0.0013272372 0.0023925782 0.0020152698 0.0025834518 0.0018022017 0.0028764205 0.0073419744 0.005242365 0.00217951 0.0060591265 0.008172053 0.0053710938 0.006161222 0.0024769176 0.0037863993 0.0020152698 0.0037198153 0.0034801136 0.0054509942 0.0043945312 0.007381925 0.005934837 0.0076793325 0.004865057 0.010338246 0.0055486504 0.0134011 0.013019354 0.043847658 0.021866122 0.015323154 0.026700107 0.053475674 0.17898615 0.064138755 6.688784e-06 8.918379e-06 3.790311e-05 6.465825e-05 8.918379e-06 6.688784e-06 1.3377568e-05 1.1147974e-05 1.5607164e-05 5.5739867e-05 1.5607164e-05 6.688784e-06 3.344392e-05 8.918379e-06 0.104516715 0.008624072 0.00016499001 0.00024302583 0.00052395475 9.364298e-05 0.00011593893 0.00015384203 5.128068e-05 2.0066353e-05 7.357663e-05 0.00021181151 5.5739867e-05 4.0132705e-05 0.00019620433 0.00073353667 0.052625123 0.01749563 0.0002987657 0.00053287315 0.0007268479 0.00013154608 0.00014938285 7.134703e-05 0.00014269406 0.00047936288 0.000111479734 0.00034558718 7.580622e-05 0.00010256136 0.00015384203 0.00037903112 0.033597764 0.0040957658 0.00011593893 0.00024525542 0.00035227597 4.9051083e-05 0.00028984732 0.00015607163 9.587257e-05 4.682149e-05 0.00014492366 0.00016721961 0.00018282677 6.2428655e-05 0.00013600528 0.00058861304 0.016102133 0.00029430652 0.00010702055 0.00026309217 0.00020512272 1.7836757e-05 0.00069340394 2.6755137e-05 3.5673515e-05 0.00017836758 0.00024079623 0.00012485731 0.00036788313 8.47246e-05 0.00010702055 0.00020512272 0.015312857 0.0037167345 0.00011593893 0.00026978095 0.00022518907 4.4591896e-05 0.00010033177 0.00010702055 8.026541e-05 0.00014492366 6.688784e-05 6.688784e-05 5.5739867e-05 7.580622e-05 7.134703e-05 0.0041559646 0.00896743 0.00078704697 7.580622e-05 0.00049942924 0.0004659853 4.0132705e-05 0.00043031177 6.0199058e-05 5.3510274e-05 0.00020066353 0.00026532178 0.00018059717 0.0187063 0.004969767 0.021085277 0.013778895 0.047989797 0.015410959 0.0002564034 0.00069117435 0.00041693423 0.00049497 0.0014982877 0.0019731913 0.0009431186 0.00057077623 0.00032552084 0.00023633704 0.0036074843 0.0044703376 0.0059931506 0.0029452946 0.0149605805 0.013025292 0.00049497 0.0008539348 0.001821579 0.00070232234 0.0020601456 0.0010702055 0.000671108 0.001623145 0.00071124075 0.0009319706 0.00091413385 0.0010278432 0.0012173587 0.0026220034 0.020481057 0.011819081 0.0007714398 0.0010144656 0.0025551156 0.002316549 0.0024703909 0.00084724603 0.00082717964 0.0034291167 0.0016075379 0.0027758454 0.00500767 0.0022496611 0.0068203304 0.0064792023 0.040333368 0.0070878817 0.0019397475 0.0021537885 0.0024079622 0.0019620433 0.0013667416 0.002706728 0.0012753282 0.0018171198 0.0040667807 0.0016855736 0.0011861444 0.0015963898 0.0019932578 0.0048226137 0.02129263 0.003933005 0.00269558 0.009263966 0.01188597 0.0013689712 0.00040132707 0.0014603846 0.00026086258 0.0016409818 0.004231771 0.002283105 0.00082495005 0.0011014198 0.0030344785 0.013629513 0.015043076 0.013518033 0.005533854 0.01672419 0.0070990296 0.0006086794 0.0012218179 0.0010835831 0.0016142266 0.003603025 0.0108447485 0.003879495 0.004927404 0.0039865156 0.004969767 0.009946222 0.015462239 0.006039972 0.004184949 0.002118115 0.0014893693 0.0005462507 0.0009319706 0.0027490903 0.0014826806 0.0016811144 0.004323184 0.0012552618 0.00225635 0.0018840076 0.0011460118 0.0024079622 0.0065996004 0.012677476 0.003152647 0.001881778 0.0029720499 0.0037880815 0.004358858 0.00385051 0.0035673515 0.009930615 0.0013489048 0.0014536958 0.0020423087 0.0037100457 0.004060092 0.0028694884 0.0068292487 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 164.0 12.27439 2013.0 0.04023845 0.001490313 0.001987084 0.001987084 0.004470939 0.000496771 0.002483855 0.000496771 0.002980626 0.001987084 0.000993542 0.002980626 0.001490313 0.006954794 0.0054644807 0.001490313 0.021361152 0.004470939 0.01490313 0.010432191 0.011922504 0.007451565 0.015896672 0.012916045 0.0054644807 0.0064580226 0.009438649 0.006954794 0.00993542 0.0064580226 0.004470939 0.0054644807 0.002980626 0.011425733 0.003974168 0.008941878 0.00496771 0.010928961 0.00496771 0.012419275 0.0064580226 0.003477397 0.000993542 0.001987084 0.008445106 0.005961252 0.003974168 0.003477397 0.008445106 0.000496771 0.010432191 0.019374069 0.006954794 0.00993542 0.007948336 0.011922504 0.000496771 0.002483855 0.0054644807 0.007451565 0.001987084 0.005961252 0.001490313 0.006954794 0.003974168 0.04023845 0.006954794 0.013909588 0.017386984 0.06656731 0.005961252 0.016393442 0.013909588 0.036761053 0.002980626 0.001987084 0.026825633 0.011425733 0.046696473 0.041728765 0.016890213 0.0 0.04918033 0.018877298 0.05464481 0.023348236 0.0054644807 0.013412816 0.008941878 0.007451565 0.002980626 0.001490313 0.001490313 0.000496771 0.000993542 0.0054644807 5.8238087 0.0 0.0 0.0 2.0 225280.0 225280.0 0.0 0.0 38.0 1.0 1.0 0.0 0.0 0.0 1196417900.0 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 6.0 0.0 4.0 0.0 4.0 0.0 16384.0 4096.0 4096.0 5.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -12288.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -16384.0 0.0 184320.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.7828956 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.328194 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -0.3983333 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.711594 0.0 5.912899 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1666.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1944.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -10600.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -13474.0 0.0 184280.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 21548.0 184280.0 36864.0 0.0 0.0 0.0 0.0 1008.0 221184.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 156.0 20480.0 0.0 0.0 0.0 0.0