Input: 0.030485917 0.003771019 0.0037323951 0.003761959 0.0037303925 0.003711796 0.003729248 0.003723049 0.0037859916 0.003730774 0.00372715 0.0037474632 0.003787613 0.0037539483 0.0037531853 0.0038438798 0.003923893 0.0041264533 0.0042344094 0.0044844626 0.0049117086 0.004714203 0.0041898726 0.0040094377 0.003911495 0.003907585 0.003890133 0.0038789748 0.0038508414 0.003848362 0.0038917542 0.003839302 0.0039118766 0.0038703918 0.0038685799 0.0038837432 0.0038752556 0.0038941384 0.0038324357 0.0038375854 0.003834915 0.0038172721 0.003808403 0.0038249015 0.0038173676 0.0038088798 0.0038087845 0.0038457871 0.0038409233 0.003790283 0.0038060187 0.0038520813 0.003809166 0.0038657188 0.003840351 0.0037997246 0.0038090707 0.0038062097 0.0037708282 0.0037882805 0.003788662 0.0037932396 0.0037436485 0.0037806511 0.0037969588 0.0037186623 0.003715229 0.0037555695 0.0037288666 0.0037801743 0.003755188 0.0037413598 0.003726387 0.003755474 0.0037529946 0.0037158013 0.003723812 0.00374918 0.0037784576 0.0037553788 0.0037997246 0.0037488937 0.0037581443 0.0037920952 0.003709793 0.0037442208 0.0037496567 0.0037362098 0.0036887168 0.0037137032 0.0036745071 0.0036743165 0.0036953925 0.0036548614 0.0036957741 0.0037026405 0.0036748885 0.0037161827 0.003713131 0.0036979676 0.0036837577 0.003778267 0.0037449836 0.003724575 0.003703785 0.0037136078 0.0037322044 0.0037219047 0.0037219047 0.0036959648 0.0037283897 0.0037240982 0.003699684 0.003618145 0.0037164688 0.003734684 0.0037757873 0.003757 0.0037060739 0.0036927224 0.0037182807 0.0037013055 0.003679657 0.003726673 0.0036952973 0.0036715507 0.0037043572 0.0037034035 0.0036906241 0.0036764145 0.0036769868 0.003694725 0.0037057877 0.0037003518 0.0037075996 0.003689289 0.0037079812 0.0037120818 0.003694153 0.0037664413 0.0037059784 0.0037051202 0.0036942482 0.0036670684 0.0036948205 0.003691864 0.003673649 0.00366354 0.0036756515 0.0036739348 0.0037038804 0.003682804 0.0037091256 0.0036819458 0.0037051202 0.003702736 0.0036727905 0.0037103654 0.003691864 0.0037291527 0.0037018775 0.0037262917 0.0036610602 0.003693962 0.0036874772 0.0037008286 0.0036930083 0.0036582947 0.0037073134 0.0037166595 0.003690529 0.003691292 0.003688526 0.0036553382 0.0037176132 0.0037158013 0.0036777495 0.0036684037 0.0036961555 0.0037065507 0.00372715 0.0036570549 0.0037009239 0.0037085533 0.0036987304 0.0036994934 0.0036804199 0.0037049293 0.003691101 0.0037052154 0.0037179948 0.0036762238 0.0037549972 0.003732872 0.0037190437 0.003720188 0.0036834716 0.0036922456 0.0036932945 0.0036980629 0.0037547112 0.0036958694 0.0036737442 0.0037211417 0.0037041665 0.0036982535 0.003711796 0.0037303925 0.003725338 0.0036772727 0.003686428 0.0036748885 0.003682041 0.0036953925 0.0037213326 0.003699112 0.00369215 0.0036837577 0.0036633492 0.0036766052 0.0036741258 0.0037083626 0.003691101 0.0036836625 0.0037446022 0.003690815 0.0037082671 0.0036940575 0.0037386895 0.0037234307 0.0037475587 0.0037284852 0.0037442208 0.00373497 0.0037322044 0.003736496 0.0037296296 0.0036725043 0.0037119866 0.0037176132 0.0037789345 0.0037064552 0.0037391663 0.003757763 0.0037712096 0.0037016869 0.003774929 0.003745842 0.0038042068 0.0038152696 0.0037474632 0.0037983893 0.0037748336 0.0038074492 0.0038739205 0.015868474 0.0035970386 3.4812513e-06 2.8613024e-06 2.1459769e-06 2.0506e-06 1.0014559e-06 9.537674e-07 1.907535e-07 4.768837e-07 4.7688374e-08 3.338186e-07 9.537675e-08 3.81507e-07 4.768837e-07 7.63014e-07 1.3352744e-06 0.00092148245 1.5451033e-05 5.0549675e-06 2.6228606e-06 2.0029117e-06 1.5737163e-06 1.6690931e-06 2.8613024e-07 4.2919535e-07 2.3844186e-07 3.338186e-07 2.3844186e-07 4.2919535e-07 2.3844186e-07 7.153256e-07 2.3891875e-05 0.0014048518 5.6701476e-05 2.0124493e-05 6.6763723e-06 5.1503444e-06 2.7659257e-06 2.7659257e-06 1.0968325e-06 4.2919535e-07 6.199488e-07 5.245721e-07 7.153256e-07 4.768837e-07 8.583907e-07 1.0491442e-06 5.7845995e-05 0.0018712918 0.00013710407 2.7039307e-05 2.4941019e-05 4.9595906e-06 3.5289395e-06 3.862758e-06 4.8165257e-06 3.6243164e-06 1.0014559e-06 1.1922093e-06 1.0968325e-06 2.3367302e-06 1.6214046e-06 3.6243164e-06 0.00015427188 0.002654144 0.00029757543 3.3954122e-05 6.242408e-05 9.442298e-06 5.0549675e-06 5.388786e-06 1.4401889e-05 9.394609e-06 1.526028e-06 1.0491442e-06 1.1922093e-06 8.011647e-06 1.2398976e-06 8.4885305e-06 0.000695678 0.002306305 0.0008464686 2.5608657e-05 4.830832e-05 1.7501632e-05 5.8656697e-06 6.628684e-06 7.153256e-06 7.91627e-06 4.4350186e-06 1.5737163e-06 1.9075349e-06 2.4797953e-06 1.526028e-06 2.956679e-06 0.00032699917 0.0017212165 0.00044602936 3.4144876e-05 6.819437e-05 5.689223e-05 1.0014558e-05 1.4163446e-05 1.23036e-05 1.24943535e-05 1.4163446e-05 6.6763723e-06 1.1063703e-05 8.917726e-06 8.107023e-06 1.2780484e-05 0.00029748006 0.004889918 0.002272208 0.00017191659 0.00021960496 0.00024826566 0.00015813464 7.3106276e-05 4.902365e-05 3.0759e-05 2.6180916e-05 2.1030572e-05 6.132725e-05 4.9643597e-05 5.779831e-05 0.00015575023 0.004016553 0.0026931055 0.0013575926 0.0010164777 0.00018894134 0.00018178808 0.00014339894 7.777974e-05 5.422168e-05 2.7516191e-05 2.5656345e-05 3.3954122e-05 5.3887863e-05 5.298178e-05 5.980122e-05 0.0001045806 0.0029135689 0.0038386756 0.00085772306 0.0009956378 0.00086759456 0.00020377242 9.599669e-05 0.00015317506 9.046484e-05 3.524171e-05 8.641133e-05 0.000102816135 0.000121176156 0.000129617 0.00013090458 0.000194807 0.0038158805 0.0011785704 0.00032289798 0.00022690128 0.00022051104 8.7317414e-05 3.819839e-05 8.335928e-05 4.983435e-05 2.8946843e-05 3.0949755e-05 7.687366e-05 7.71121e-05 6.571458e-05 7.591989e-05 8.049797e-05 0.0008723634 0.00014449577 2.7373126e-05 2.8613023e-05 8.135637e-05 1.8979972e-05 1.1779028e-05 3.166508e-05 2.3796498e-05 1.258973e-05 6.7717488e-06 6.533307e-06 7.677828e-06 8.4885305e-06 9.0131025e-06 1.0872949e-05 5.832288e-05 5.155113e-05 4.2919537e-06 7.153256e-06 4.420712e-05 1.201747e-05 5.627228e-06 1.2542042e-05 1.0157623e-05 1.1302144e-05 2.5274837e-06 3.4812513e-06 8.870037e-06 6.819437e-06 3.576628e-06 5.3410977e-06 5.8656697e-06 5.069274e-05 6.5809954e-06 6.0564234e-06 8.154711e-06 2.436876e-05 6.104112e-06 1.1826716e-05 1.0777572e-05 2.7134683e-05 1.4306512e-06 1.0491442e-06 4.1012e-06 1.3400433e-05 3.1474326e-06 8.059335e-06 1.2446665e-05 0.00056124444 0.00012456204 6.4951564e-05 0.00011717033 0.0002194142 0.00019576077 0.00010810954 0.0001414914 0.00022470762 6.4093176e-05 4.282416e-05 4.6257723e-05 0.000120365454 4.9405153e-05 0.00014358968 0.0003153632 0.058858898 0.05883982 0.058875017 0.058924276 0.05885761 0.05885656 0.058889322 0.058832765 0.058764044 0.058799144 0.058808014 0.05872165 0.058916315 0.05863376 0.058824323 0.05890134 46467.0 5.681279 263992.0 0.010238946 0.010314707 0.01057229 0.010216218 0.010068487 0.010284402 0.010189703 0.010360163 0.010466226 0.010178339 0.009969999 0.010091214 0.010068487 0.01036395 0.010481378 0.010579866 0.010398042 0.01042077 0.010163187 0.010795781 0.010348799 0.010333646 0.010682142 0.010246523 0.010602594 0.010470014 0.009977575 0.010113942 0.01036395 0.010352586 0.010261674 0.010348799 0.009996515 0.010360163 0.010299554 0.010579866 0.01051547 0.010541986 0.010155611 0.010064699 0.010269251 0.010560926 0.010466226 0.010329858 0.010087427 0.01047759 0.010488954 0.010269251 0.010454862 0.010121519 0.010394255 0.01053441 0.010560926 0.010174551 0.010470014 0.010769266 0.010174551 0.010511682 0.01036395 0.01028819 0.010072275 0.010265463 0.01007985 0.010326071 0.010280615 0.011026849 0.010519258 0.010621534 0.010735174 0.012076124 0.010511682 0.010750325 0.010303343 0.011011697 0.010023031 0.010034395 0.011242765 0.010310918 0.011250341 0.010985182 0.010295766 0.010185915 0.011216249 0.01095109 0.011390497 0.010439711 0.010038183 0.010367738 0.01019349 0.010538198 0.009962423 0.010326071 0.010428347 0.010295766 0.009841207 0.01049653 6.584194 2.0 0.0 0.0 157.0 10485760.0 2592768.0 0.0 0.0 169.0 1.0 1.0 0.0 0.0 0.0 1452002700.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 6.0 0.0 10.0 0.0 5.0 0.0 5.0 0.0 29184.0 1024.0 4096.0 6.0 1.0 0.0 1.0 2.0 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 11264.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -512.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -29184.0 0.0 568832.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4.4894643 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.8892859 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.517992 0.0 3.5818071 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1544192.0 -3968.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 11016.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -425692.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -28994.0 0.0 568648.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 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 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 -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 -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 -1.0 2.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 -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 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 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 -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 -2.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 -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 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 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 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 -1.0 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 -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 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 0.0 0.0 1.0 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 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 1.0 1.0 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 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 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 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 -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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 160.0 44108.0 568648.0 2019328.0 0.0 0.0 6080.0 534622900.0 2480.0 503808.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 704.0 36864.0 0.0 0.0 0.0 0.0


Input: 0.14276297 0.008650112 0.004195466 0.0034316345 0.0062551945 0.0039574695 0.0020335612 0.0019650282 0.007901233 0.0015139565 0.0017058488 0.0015089723 0.004584235 0.0013756444 0.0012335941 0.0038989051 0.006177939 0.0015089723 0.0011899822 0.00089840544 0.0024771567 0.0019874573 0.0007700618 0.00082862633 0.0023139236 0.0007576012 0.0008336106 0.0007139893 0.0016223632 0.0006068286 0.0005968602 0.00056820095 0.003901397 0.0005893839 0.0006554248 0.00054577197 0.0041767755 0.0013245561 0.0004672705 0.0005644628 0.0011899822 0.00065667083 0.0005868918 0.0009482476 0.0011114808 0.0023550433 0.00068034587 0.0005208509 0.0055461894 0.0026603267 0.003146288 0.010093043 0.0032322658 0.0018665899 0.002685248 0.0015538302 0.0037556088 0.00191394 0.0007189736 0.0014915274 0.0016771896 0.0009818911 0.00046851655 0.00053206534 0.011848734 0.0039537316 0.0049331305 0.00888437 0.003893921 0.032771237 0.0032895843 0.0027263677 0.0034054674 0.0035711927 0.0022030247 0.002369996 0.0027276138 0.004416018 0.0011675532 0.0015413696 0.009118628 0.0021581666 0.0020696968 0.009820157 0.0032260355 0.013928399 0.0032434803 0.0021095707 0.0019388611 0.0065567396 0.002760011 0.003280862 0.0015762592 0.0046677208 0.002393671 0.0036285112 0.005802877 0.004425986 0.001754445 0.0032708936 0.009314259 0.0061679706 0.003987375 0.0015451078 0.007895002 0.004262753 0.0036933061 0.001390597 0.0035450256 0.0017482147 0.004401065 0.0040596463 0.0031961303 0.0017158173 0.0049107014 0.0038677538 0.0102674905 0.005579833 0.0017382463 0.0011289256 0.0028572034 0.0012722218 0.00053455745 0.0005943681 0.0016647291 0.0025357213 0.001070361 0.00088096067 0.0052807797 0.0011663071 0.0010965281 0.0091273505 0.003143796 0.0032497107 0.0010417018 0.0006230273 0.0026815096 0.015296567 0.0022491287 0.052095056 0.0012049349 0.0110786725 0.0008635159 0.0006853301 0.0026752795 0.00044733362 0.00073268014 0.0006504405 0.0011314177 0.0009432634 0.0015226788 0.0005719391 0.0011825059 0.00059312204 0.0005034061 0.00071772747 0.0009632003 0.00047973104 0.00046851655 0.00042241253 0.00090338965 0.003353133 0.00046976263 0.0025693648 0.0014342089 0.0008236421 0.00056820095 0.000456056 0.0010541623 0.00046104024 0.0005133745 0.00049094553 0.0008535475 0.0004535639 0.0007476328 0.0006629011 0.0013345246 0.0006903143 0.0017432305 0.0005407877 0.0008846988 0.00067536166 0.00071772747 0.0015912119 0.0031737012 0.0025531661 0.004685166 0.00082987244 0.0010080582 0.00048346922 0.00085977773 0.0007202196 0.012085484 0.0011575848 0.0023039551 0.01042574 0.0043898504 0.0010666228 0.0035836534 0.003393007 0.0018840347 0.0017781201 0.0009906135 0.0013120956 0.0016946343 0.0008996515 0.0009993359 0.00094949367 0.0028958311 0.0011588308 0.0029967616 0.0013631838 0.0018267161 0.00077379995 0.0016161329 0.0008822067 0.003393007 0.00065916294 0.001094036 0.001800549 0.0015077261 0.0007239578 0.0005669549 0.0008485632 0.0024572199 0.0006629011 0.0008846988 0.0009980898 0.0024509896 0.0024497434 0.0005544943 0.0006990367 0.027814433 0.0060707782 0.0011015123 0.0059436806 0.006581661 0.0010504241 0.0006853301 0.00076009333 0.007296896 0.0009843832 0.0018304543 0.00092581863 0.009205852 0.002186826 0.004126933 0.0026129766 0.010142885 0.003076509 0.003096446 0.0036397257 0.015000006 0.0040260027 0.0043337783 0.06944886 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.001789532 0.0 0.0 0.00052137446 0.00024663823 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.009613271 0.0 0.0 0.004142273 0.0028684963 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0012363131 0.0 0.0 0.00076676393 0.0005544677 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0005550921 3.7464035e-06 1.8107618e-05 6.743526e-05 0.00014985613 7.617687e-05 6.244006e-06 7.492807e-06 1.5610014e-05 0.0 0.0 1.8732018e-06 8.1172075e-06 3.122003e-06 4.9952046e-06 0.00036090353 0.006138482 0.000207301 0.00021479379 0.0005544677 0.0019237782 0.0004914033 0.0024638847 0.0010720958 0.00019606178 0.000101152895 9.3035684e-05 7.555247e-05 0.0006762258 0.00038275754 0.00040336276 0.0029084578 0.013413997 0.0006456302 0.00095221086 0.0020954884 0.004157259 0.003633387 0.007013892 0.003231273 0.00045706122 0.00023727222 0.00031282468 0.0003328055 0.002096737 0.0011120575 0.0011295406 0.009050686 0.020913048 0.0013118656 0.0012419327 0.0020923663 0.007366678 0.0025787745 0.006737282 0.0032787274 0.002408313 0.0009815576 0.0009834309 0.0013449588 0.004086077 0.0026680636 0.0026924154 0.0096469885 0.0203642 0.0015728651 0.0012600403 0.002283433 0.009493386 0.0040723407 0.00592681 0.0034317055 0.0058525065 0.0014236333 0.0017914053 0.0023215213 0.0038900157 0.0017851612 0.0040735896 0.009741274 0.074571535 0.009891129 0.007335458 0.010157124 0.042379316 0.03083415 0.021465018 0.014057755 0.051862713 0.005331132 0.006101018 0.009211781 0.016914386 0.0071269083 0.027648458 0.061531555 0.06071359 0.010206452 0.00918743 0.01175996 0.0283328 0.030837895 0.017804783 0.014720868 0.050197434 0.0059299325 0.0065318546 0.009219899 0.021258967 0.01102067 0.025273237 0.04889681 0.00023539901 4.8078844e-05 8.679168e-05 5.244965e-05 9.116248e-05 9.990409e-05 4.370804e-05 6.618646e-05 0.00013549492 2.9346827e-05 3.371763e-05 2.9346827e-05 8.491848e-05 6.0566857e-05 7.3679264e-05 0.0001080213 5347.0 15.421919 82461.0 0.0056754104 0.00013339639 0.0005820934 9.701556e-05 0.00349256 0.0005942203 0.00013339639 0.00018190418 0.00041231612 0.00042444307 0.00076399755 0.0006063472 0.0005214586 0.014855508 0.0011763136 0.0004850778 0.024338778 0.016892834 0.025660615 0.011799517 0.020712823 0.013909605 0.022083167 0.010732346 0.024278143 0.013836844 0.0008610131 0.00053358555 0.0009944094 0.00055783946 0.00012126945 0.00014552334 0.0014188526 0.00888905 0.0077127367 0.0151223 0.0074338173 0.016807945 0.0049235397 0.0032015136 0.0051296977 0.01833594 0.0025587853 0.0041595423 0.00710639 0.0069487393 0.004620366 0.009604541 0.013448782 0.0027285626 0.00623325 0.021331295 0.013618559 0.0065242965 0.006148361 0.0036380833 0.0028983399 0.0055783945 0.0015886298 0.003116625 0.0012126944 0.0029104669 0.0030317362 0.023126084 0.00026679278 0.0316392 0.013242624 0.027637307 0.02675204 0.05469252 0.011860152 0.010259395 0.019124191 0.03583512 0.00726404 0.0068881046 0.02484811 0.0121026905 0.03850305 0.035192393 0.019318223 0.0027164356 0.03970362 0.029310826 0.04267472 0.011156789 0.010259395 0.0060149645 0.014200652 0.0069608665 0.0010914251 0.0003031736 0.0005699664 0.00026679278 0.00031530057 0.00032742752 5.7744956 0.0 2.0 14.0 4.0 802533.0 3952640.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 708992500.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 2.0 -1.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 25.0 4.0 0.0 4.0 0.0 1267200.0 1024.0 4096.0 8.0 2.0 0.0 1.0 4.0 0.0 0.0 0.0 0.0 0.0 -84992.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 512.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -859648.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1267200.0 0.0 0.0 0.0 0.0 0.0 0.0 -12800.0 1672192.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.575404 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -48.0 0.0 0.0 -84528.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 24.0 0.0 31073.0 0.0 0.0 0.0 0.0 0.0 -859536.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1266868.0 0.0 0.0 0.0 0.0 0.0 0.0 -12546.0 1672153.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 12546.0 2166784.0 1672153.0 2277376.0 0.0 0.0 8384.0 3898368.0 84528.0 2191360.0 0.0 0.0 0.0 0.0 0.0 0.0 24.0 2187264.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0


Input: 0.12454946 0.0073228655 0.0052602645 0.0041420446 0.0026581027 0.0016776304 0.0034232321 0.0015928164 0.0013281491 0.0020794435 0.0133440485 0.0010562635 0.00061174255 0.00076152023 0.0009461859 0.00031699936 0.0010309998 0.0017107137 0.0030160053 0.0009022752 0.0005684334 0.0016583818 0.0009642314 0.000699564 0.0010303983 0.00055038783 0.00021654605 0.0007037746 0.00028090834 0.00024180974 0.00039098592 0.00031399177 0.0822502 0.00033444332 0.00050046196 0.00035309035 0.00023218548 0.0016998864 0.00060813344 0.025239043 0.01331698 0.008564396 0.0010460377 0.0014610842 0.04133503 0.002185912 0.005858172 0.0004042193 0.012771404 0.011496189 0.0075869313 0.0065559316 0.005564632 0.006323746 0.0035459416 0.0035369187 0.0032379648 0.0035417308 0.00035429338 0.0002580507 0.0003194054 0.00072603073 0.00033985698 0.00020210964 0.00052211655 0.01268238 0.002025307 0.003469549 0.004305657 0.013071561 0.0014027371 0.0023585474 0.0011182197 0.009226666 0.00081926584 0.0041113673 0.0065186373 0.0035748142 0.019483129 0.005640423 0.0034009758 0.0003982041 0.008860342 0.012344328 0.0073601594 0.0062154727 0.0050256727 0.00032120995 0.00040301625 0.00024662187 0.00040842989 0.030629836 0.00023759913 0.030739915 0.00015519133 0.015455373 0.00030677355 0.022582745 0.008987864 0.01696578 0.040846597 0.029977793 0.005549594 0.0052999645 0.0006749018 0.03967364 0.004607017 0.0004186557 0.0068482687 0.0064969826 0.009561711 0.025684766 0.009910591 0.0012998778 0.018185657 0.010079015 0.008281684 0.011479948 0.0012301018 0.00025564464 0.0043249056 0.00087159785 0.00040061018 0.00065023964 0.00024602035 0.00052572566 0.0005076802 0.00031038266 0.0015868013 0.0013870978 0.00071099284 0.0014039401 0.00024120822 0.00034106002 0.0007482869 0.00045053608 0.0009780662 0.00055098935 0.00022436577 0.00018165806 0.000536553 0.0009040797 0.00019428993 0.00016902621 0.00019549296 0.00024120822 0.00028090834 0.0003085781 0.00022737334 0.00075490354 0.00019669598 0.00018406413 0.00010646847 0.00014737161 0.0002406067 0.00045354365 0.00048482252 0.003903844 0.0002935402 0.0002363961 0.00019308689 0.00030978114 0.0007897915 0.000484221 0.00020632026 0.00023459154 0.00013353673 0.0004126405 0.00019068082 0.0003976026 0.00020030509 0.00017263532 0.00014135645 0.00027489316 0.00014917616 0.00017263532 0.00011729577 0.00016060498 0.00010586695 0.00017022925 0.00030557052 0.00019609446 0.00017323684 0.00014015341 0.00010706999 0.00020632026 0.0001539883 0.00014496554 0.00036632371 0.00017744745 9.9851786e-05 0.00016240953 0.00015519133 0.0003627146 0.00016541712 0.003063525 0.00020932785 0.00021835059 0.00029654778 0.0007103913 0.00024842643 0.00018526717 0.00012692004 0.00021353846 0.00013173217 0.00040963292 0.00019850054 0.00033925546 0.0010598726 0.00017865049 9.2633585e-05 0.00022376425 0.00018045504 0.00024842643 0.00021233542 0.00010526544 0.00027068256 0.00025684768 0.00032060844 0.00017804897 0.00038136163 0.00023038093 0.00050948473 0.00026105827 0.0001221079 0.00027068256 0.00016240953 0.00021955362 0.00013834886 0.0001287246 0.00021714756 0.00019669598 0.00018105656 0.00026105827 0.00013955189 0.00017143229 0.00016180801 0.00016662014 0.00021955362 0.00015819892 0.00014255948 0.00022857638 0.00012511549 0.00019128234 0.00015218374 0.00026647194 0.00012451397 0.00015579285 0.00014556706 0.00025504312 0.00013895037 0.00017143229 0.00021594453 0.00017985352 0.0005335454 0.013522097 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.1439388e-05 4.2145116e-06 3.0103652e-07 9.031096e-07 9.031096e-07 6.0207304e-07 4.515548e-06 0.00042175216 0.0 6.0207304e-07 9.031096e-07 9.031096e-07 6.0207304e-07 9.031096e-07 3.6124384e-06 0.00016436595 0.00010686797 7.2248768e-06 3.0103654e-06 3.0103654e-06 0.0 4.2145116e-06 9.633169e-06 0.0016662371 1.0235242e-05 1.5954936e-05 4.2145116e-06 4.8165844e-06 6.9238404e-06 1.7761155e-05 2.5588104e-05 0.0005803984 0.0008067779 2.1975666e-05 0.00021825149 1.4148717e-05 0.00017700948 8.308608e-05 0.00083447323 0.0034260966 5.0875173e-05 4.7864807e-05 6.984048e-05 3.732853e-05 6.532493e-05 8.0376754e-05 7.375395e-05 0.0020076127 0.038354162 0.00026762148 0.0085485345 0.00086186756 0.005284997 0.0044198185 0.032999024 0.015739394 0.00021855252 9.9342054e-05 9.452547e-05 6.5625965e-05 0.00011168455 8.007572e-05 0.000107169006 0.0018721462 0.051578697 0.0006815467 0.015236663 0.0015798397 0.004831335 0.003231025 0.016585607 0.009262292 0.00048557192 0.0001532276 0.00015051826 0.00013546644 0.00011379181 0.000120113575 0.00016526906 0.0011144372 0.032122403 0.0037617525 0.13288686 0.04811166 0.06436492 0.102868095 0.14266452 0.022939887 0.0031930944 0.0022562689 0.0007119514 0.00043198743 0.0022788465 0.00081641105 0.00041813974 0.003675054 0.030749677 0.005925904 0.025721464 0.012995446 0.012467428 0.009942936 0.026690802 0.012589348 0.0042638816 0.00314824 0.0020548753 0.0008874557 0.0024362886 0.0022770404 0.00077095453 0.003675054 0.0084880255 0.0013910898 0.0012182948 0.0010771087 0.001952824 0.0007480758 0.0027716432 0.0013465364 0.0012375612 0.0016463688 0.0004936999 0.0004572745 0.00069840474 0.00045968278 0.00044222266 0.0026981905 0.003922807 0.00072308973 0.00059063366 0.00056233624 0.00038924025 0.00029983238 0.0007507851 0.00061923213 0.0004894854 0.00034890135 0.0002522686 0.00028478054 0.0004900875 0.0002465489 0.00024082922 0.00027002976 0.0022273692 0.00068034255 0.00046028485 0.00050544034 0.0005244056 0.0004184408 0.0007113493 0.0003320433 0.0003073583 0.00029712304 0.00025437586 0.00019747997 0.00032361428 0.00020711313 0.0002513655 0.00031669042 0.002241819 0.00081129343 0.000618028 0.000683955 0.0004054962 0.00029230647 0.00056745386 0.00021554215 0.00035883553 0.00024895722 0.00037870396 0.00028387745 0.0005141704 0.0004063993 0.00041633353 0.00018814782 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 15023.0 67.59908 1015541.0 0.10066851 5.908181e-06 5.8097114e-05 2.461742e-05 8.1729835e-05 4.923484e-06 3.9387874e-06 0.040473994 0.013106314 0.012860141 2.8556207e-05 1.2801059e-05 0.065389775 0.0026281558 0.0076176147 0.0002776845 0.01953737 0.017813165 0.010598292 0.010077387 0.0086446535 0.008918399 0.005187383 0.005404016 0.0049096984 0.0052700974 2.166333e-05 4.5296056e-05 0.00031608768 5.1204235e-05 0.00031313358 1.3785756e-05 5.908181e-06 0.019446777 0.0029609834 0.0045719473 0.005674808 0.019114934 0.001445535 0.0035705108 0.0010043908 0.013268789 0.000685349 5.612772e-05 0.009598825 0.004505973 0.030354265 0.0076442016 0.004713744 0.00029048556 0.013405663 0.019132659 0.010603216 0.009122231 0.007561487 7.5821656e-05 0.00023238845 4.1357267e-05 0.0003732001 0.049911328 1.9693937e-06 0.04991231 6.892878e-06 0.020685526 5.4158325e-05 0.02759022 0.013850746 0.022783915 0.060418043 0.04144392 0.0073852264 0.0075004357 0.00020284754 0.05640048 0.00020383224 0.0002747304 0.008474301 0.008367954 0.010913395 0.027307613 0.008169045 0.00039486343 0.0063089523 0.01161253 0.0066496576 0.015160392 0.00060755794 6.498999e-05 0.0065748207 0.0006469458 0.000282608 1.9693937e-06 3.9387874e-06 1.9693937e-06 1.9693937e-06 1.9693937e-06 5.25858 0.0 0.0 0.0 1.0 1662464.0 1687552.0 0.0 0.0 1.0 1.0 1.0 0.0 0.0 0.0 1541074800.0 0.0 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 0.0 0.0 0.0 0.0 0.0 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 -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 48.0 0.0 4.0 0.0 6.0 0.0 1644544.0 512.0 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 -1644544.0 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 -1.9473388 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.848702 0.0 4.401688 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 -1644512.0 0.0 16888.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 79.0 1652616.0 16888.0 1654784.0 0.0 0.0 0.0 0.0 12.0 1679360.0 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: 0.15541084 0.010869882 0.0062116394 0.008318764 0.014943267 0.004847748 0.0036605208 0.002597814 0.013795731 0.003169442 0.0025339972 0.0025511186 0.009397035 0.0041457624 0.0018849327 0.008696996 0.009918466 0.0018148898 0.0011724406 0.0010199026 0.0059007267 0.002279508 0.001094226 0.0008148326 0.0049773273 0.000837402 0.0007229986 0.0008786495 0.0055940943 0.0010000572 0.0009735965 0.0015903633 0.007173173 0.000926123 0.0008891559 0.0014568927 0.027765011 0.0011911187 0.0006868097 0.00063855795 0.0032585522 0.000672412 0.00058758224 0.0030453103 0.0023869069 0.00092495565 0.0008486867 0.00070782256 0.0035741343 0.00085102144 0.0008268955 0.004807668 0.0022402059 0.0009817682 0.00069147925 0.00065762515 0.0031223577 0.0016378369 0.001705545 0.0059306896 0.0035566236 0.002069379 0.0013078569 0.0039072274 0.004278455 0.0021475938 0.002224641 0.0016273304 0.0118399765 0.010348063 0.002900166 0.0019479713 0.0035356109 0.001717608 0.0010922804 0.0006891445 0.0055676335 0.007408984 0.0014716795 0.0013226437 0.009104023 0.0055571273 0.0037527438 0.0037457396 0.0044632903 0.008228486 0.004285459 0.0029733218 0.0018779284 0.0024456652 0.0007331159 0.0022367039 0.0047889897 0.0029538656 0.0044430555 0.005006901 0.0031328641 0.005195628 0.0022063518 0.0026234963 0.004545007 0.0067178938 0.0033822947 0.0013257568 0.005780875 0.0037690871 0.003407588 0.001537442 0.004446169 0.0019265694 0.0031075708 0.0031044576 0.004741127 0.00055528467 0.0037192788 0.002686146 0.011897957 0.0075288354 0.0015074792 0.004217751 0.0037142201 0.0023802917 0.0017853162 0.00086503004 0.004855531 0.0029056137 0.0020647096 0.0017962117 0.0026207725 0.0025569557 0.00072183117 0.01848666 0.0027526866 0.0062252586 0.00082728465 0.00056773674 0.0021495393 0.022872126 0.0013911302 0.050517675 0.0013884063 0.010062832 0.00074751355 0.00048913306 0.002335153 0.00045255508 0.00033737338 0.00048368526 0.0013506609 0.0011934534 0.00084557367 0.00040936194 0.0010027811 0.0009665922 0.0003829013 0.00051364803 0.0010716566 0.0005424435 0.0007331159 0.0005669585 0.0014354907 0.0021187982 0.0006171559 0.0011148498 0.000919897 0.00060859515 0.00038212302 0.00032375392 0.0009770987 0.0003945751 0.0003801774 0.0003704492 0.00078876107 0.00041364232 0.00040080113 0.00085802574 0.0013899627 0.00040975105 0.00036694706 0.0003650014 0.0009630901 0.0006564578 0.001784927 0.0010156223 0.0022600514 0.0013895737 0.0007039313 0.00051481545 0.0009101688 0.0007300028 0.0014327668 0.001308246 0.008165836 0.0056571327 0.0038924406 0.006267674 0.010396704 0.0012082403 0.0024915822 0.006821791 0.002441774 0.0018619742 0.0011864492 0.001094226 0.023371765 0.0007607439 0.0011541516 0.0014319886 0.002493917 0.0015561201 0.0022117996 0.001665854 0.0010568697 0.0009969441 0.00070159655 0.0008918798 0.0025312733 0.0025604577 0.0006155994 0.0013689499 0.0025756338 0.0015666266 0.00074751355 0.00057084975 0.0029667066 0.0010343004 0.0011514277 0.00057824317 0.0018324006 0.0010533676 0.00058446924 0.0005739628 0.016415335 0.0037753133 0.0008121087 0.0044796336 0.0035675191 0.00085802574 0.00085257797 0.00069848355 0.0039687096 0.00086541916 0.0011097911 0.0011132932 0.0022475994 0.0007708612 0.0023203662 0.001962369 0.0048271245 0.002310638 0.0017214993 0.0014533906 0.0035920343 0.0016203262 0.002909894 0.0329871 0.012325208 0.0 1.9468948e-06 7.398201e-06 1.9468948e-06 1.9468949e-07 1.3044196e-05 4.0884793e-06 0.0 0.0 0.0 1.9468949e-07 5.8406846e-07 0.0 1.9468949e-07 5.6459953e-06 0.0022930529 3.8937898e-07 5.8406846e-07 3.3097215e-06 6.035374e-06 1.7522054e-06 1.7716744e-05 7.398201e-06 7.7875796e-07 1.1681369e-06 1.9468949e-07 7.7875796e-07 7.7875796e-07 1.9468948e-06 1.9468949e-07 5.6265264e-05 0.009306158 0.00029067142 0.00036192776 7.631828e-05 2.1221154e-05 1.8300812e-05 3.5238798e-05 3.3486594e-05 2.9982182e-05 2.2583981e-05 1.7716744e-05 1.148668e-05 6.814132e-06 5.6459953e-06 3.8937897e-06 0.00012538003 0.0024708044 6.152188e-05 8.15749e-05 2.6283082e-05 1.6159229e-05 1.0318543e-05 2.9982182e-05 1.8300812e-05 6.035374e-06 5.4513057e-06 7.0088217e-06 5.4513057e-06 3.5044109e-06 5.4513057e-06 4.6725477e-06 3.854852e-05 0.003224058 9.890226e-05 7.339794e-05 2.336274e-05 4.1468862e-05 7.943331e-05 9.208813e-05 5.0813956e-05 3.2902524e-05 7.787579e-06 7.59289e-06 1.0318543e-05 1.7327366e-05 7.59289e-06 1.927426e-05 0.00020091956 0.0034964287 0.00014854809 0.000116424315 7.943331e-05 8.5274e-05 7.807049e-05 0.00036037026 0.000176194 2.1026466e-05 1.7132676e-05 1.4407023e-05 5.2566165e-06 2.6088392e-05 1.1876059e-05 1.3433575e-05 0.00013472512 0.006966185 0.00015711442 0.00018378688 0.00026769805 0.00020909651 0.00025095476 0.00097578374 0.0004076798 6.599974e-05 0.000110194254 4.1079482e-05 4.5557343e-05 8.2937724e-05 4.8282993e-05 8.3911174e-05 0.0004705645 0.007584324 0.00021824692 0.00040086565 0.00049587415 0.00047406892 0.00052488287 0.0025459544 0.0013626318 0.00014348616 0.00012927383 8.040676e-05 0.00010766329 0.0012349155 0.00014173395 0.00014815871 0.00075520057 0.010890151 0.00034927294 0.002894254 0.00083307637 0.0016846482 0.0018489661 0.01227712 0.0061940462 0.00023829994 0.00026107862 0.00015984007 0.00015166312 0.0017808249 0.00017755682 0.00016178697 0.0015647195 0.0068020616 0.0005355908 0.001091624 0.00083658076 0.0014140297 0.001646489 0.0057826675 0.0032283412 0.00022700796 0.00017930902 0.00015322064 0.00012907914 0.00065279385 0.00014621181 0.00017093738 0.0029211212 0.0055817477 0.00038314893 0.00091698754 0.0005061927 0.001136792 0.00085916475 0.0031082178 0.0015711442 0.00020033549 0.00020890182 0.0001111677 0.00015244188 0.00033992785 0.00014757464 0.00015399938 0.00096994307 0.005735747 0.00044525487 0.0006323515 0.00057920127 0.00074994395 0.0010336065 0.0017130729 0.0011147921 0.0005289714 0.00029047672 0.0004316266 0.00039424622 0.0005058033 0.00023946808 0.00035511365 0.0008005632 0.012142589 0.0018801164 0.0015553744 0.0016883473 0.0036266758 0.002457176 0.001393198 0.0021398321 0.0069305566 0.0011145973 0.00083677546 0.0011107036 0.003138784 0.0017780991 0.0025948216 0.0062503116 0.09093712 0.018142724 0.023420952 0.014952348 0.029703386 0.031485964 0.012651897 0.019914204 0.06573846 0.004979184 0.0046896804 0.00689084 0.03912441 0.010919939 0.021379244 0.028514612 0.07234876 0.01761609 0.02117365 0.016573528 0.020658502 0.026059773 0.014874472 0.020725086 0.050029747 0.0055895355 0.005302563 0.006834185 0.031010922 0.010152084 0.015661018 0.022646867 0.0006962096 0.00028054757 0.00027529095 0.000929837 0.00030683065 0.00027120247 0.00026964495 0.00026380425 0.00026399895 0.00027723785 0.0002575742 0.0003537508 0.00032707836 0.00033603408 0.0005093077 0.00036251184 10528.0 15.283435 160904.0 0.057636853 0.003977527 0.0008327947 0.00068985234 0.013958634 0.0055312486 0.0006463481 0.0015350768 0.0033436087 0.0015661513 0.0005282653 0.0016407298 0.003430617 0.002168995 0.005761199 0.00080793514 0.008247154 0.0034989808 0.0023243674 0.0027096902 0.0027407648 0.0025978223 0.0014542833 0.0017525979 0.0028961368 0.003051509 0.015705017 0.0040210313 0.001963904 0.0016158703 0.0016531596 0.007569731 0.0048103216 0.00871327 0.0043939245 0.010204842 0.011224084 0.004518222 0.0055623227 0.0098443795 0.0032876746 0.008849997 0.00081415003 0.0011248944 0.0068053002 0.0040210313 0.0034119724 0.0048103216 0.009421767 0.0040707504 0.008054492 0.019216428 0.0077623925 0.0068425895 0.008042063 0.0072030528 0.0019266147 0.0032006663 0.00087008404 0.0033560384 0.0018085318 0.0033560384 0.0053634467 0.013703823 0.0012181177 0.049513996 0.00979466 0.02565505 0.024946552 0.081309356 0.010782827 0.0145739075 0.01854522 0.04847611 0.004648735 0.0043317755 0.029489633 0.016593745 0.041726746 0.043137524 0.01632029 0.00097573706 0.04466017 0.030030329 0.06118555 0.019222641 0.009471486 0.0067680106 0.005823348 0.008141501 0.0012926962 0.00043504202 0.0020509122 0.0013734897 0.0011621837 0.0018893253 5.6066823 1.0 1.0 0.0 11.0 2569853.0 3952640.0 1.0 0.0 270.0 0.0 1.0 0.0 0.0 0.0 1490638300.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -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 9.0 0.0 5.0 0.0 5.0 0.0 2049024.0 1024.0 4096.0 4.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 271872.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -119296.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2049024.0 0.0 40448.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.8709416 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.8945446 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.7007093 0.0 4.6931396 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 271506.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1578456.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2048573.0 0.0 40024.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 1.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 1.0 -1.0 -1.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 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 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 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 -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 -1.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 -2.0 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 -2.0 0.0 -1.0 1.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 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 -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 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 -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 -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 1.0 0.0 -1.0 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 -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 1.0 0.0 0.0 2.0 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 -1.0 0.0 1.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -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 1.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 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 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 1.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 2.0 0.0 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 0.0 -1.0 0.0 -1.0 0.0 1.0 -1.0 -1.0 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 1.0 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 0.0 0.0 1.0 0.0 1.0 0.0 -1.0 0.0 0.0 -1.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 -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 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 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 -2.0 0.0 0.0 -1.0 -1.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 1.0 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 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 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 1.0 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 2.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 1.0 0.0 -1.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 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 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 2.0 -1.0 0.0 0.0 -1.0 1.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 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 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 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 -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 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 280.0 2321352.0 40024.0 3911680.0 0.0 0.0 0.0 0.0 0.0 0.0 28.0 2057712.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1140.0 2056192.0 0.0 0.0 0.0 0.0


Input: 0.13592397 0.0120804515 0.005630413 0.004943324 0.009534383 0.0026158227 0.0022891357 0.002821601 0.009520433 0.002076382 0.0028204382 0.0019915132 0.0056978436 0.0017287682 0.0013997558 0.0047584726 0.0077486485 0.0013590653 0.0017148171 0.0010614428 0.004212056 0.0017985235 0.0016799396 0.0009963379 0.0029832006 0.00095680985 0.0010358659 0.00085450214 0.0023065745 0.000866128 0.001125385 0.0009998257 0.0055711213 0.0011021333 0.0014090566 0.0009905249 0.010665582 0.0015369413 0.00083357556 0.00073708076 0.0018671162 0.00099285 0.0009347207 0.0019357089 0.001904319 0.0010323781 0.001771784 0.00066732545 0.005712957 0.0024391094 0.0026890659 0.011668895 0.003597047 0.002217055 0.0023856305 0.0026867406 0.0041318373 0.0024414347 0.0025483926 0.0040725456 0.003292449 0.0025100273 0.0022158925 0.0022519329 0.010796954 0.004408533 0.0038109631 0.0076219263 0.007052258 0.015342672 0.0039225714 0.0027541707 0.003735395 0.0033075626 0.00568738 0.001421845 0.0034738127 0.003320351 0.0013113992 0.0015787944 0.0083415685 0.0023588908 0.0027960239 0.00668023 0.00426786 0.008221822 0.0044108587 0.0031401499 0.0021728768 0.004506191 0.0024821253 0.004756147 0.0015787944 0.003326164 0.0037656224 0.0022798348 0.0013230251 0.003774923 0.0013718538 0.0020694064 0.006565134 0.0064616636 0.0037702727 0.0016485497 0.005186305 0.003729582 0.0038377028 0.0010753939 0.0036947045 0.001607859 0.004292275 0.0044701505 0.00267744 0.0007056909 0.0047375457 0.0036121607 0.011793292 0.00624426 0.0014334709 0.0020380167 0.0026902284 0.0015113642 0.0009382084 0.0011963029 0.0023449399 0.0021566006 0.0015532174 0.0011928153 0.007284776 0.0015427541 0.0013230251 0.00912864 0.003476138 0.00443411 0.0009835494 0.0008103238 0.0032412952 0.012271116 0.003061094 0.05505435 0.0016845899 0.006734872 0.00074289367 0.0009486717 0.0037028426 0.000787072 0.0009184445 0.001038191 0.0015229902 0.0009870372 0.00075335696 0.00062198454 0.0011835145 0.001018427 0.00059175724 0.0006498867 0.0011079463 0.00055455446 0.00074870663 0.0005685055 0.0012056037 0.0028506655 0.0006498867 0.00089984306 0.0012672208 0.0008719409 0.0008114864 0.0005475789 0.0014241702 0.00056618033 0.000832413 0.0007498692 0.0011497994 0.0008207871 0.001083532 0.0008672906 0.0020775446 0.00077428354 0.0020298786 0.0008417136 0.00119049 0.0007754461 0.0020415045 0.0011893274 0.0027053421 0.001607859 0.0022193803 0.0017868977 0.0013218625 0.00056618033 0.0009323955 0.008077661 0.010263327 0.0017008662 0.0019008312 0.010860897 0.0032494331 0.00075335696 0.0046003605 0.0032517584 0.0019787247 0.0018089868 0.0009289078 0.0010765564 0.0021228855 0.0006277975 0.0009486717 0.029414637 0.0032657094 0.0011393361 0.0028088123 0.0017113294 0.0018961809 0.0006894146 0.0017217927 0.0011788642 0.0047886996 0.0011125966 0.0012834971 0.0019426844 0.0021286984 0.0020508051 0.0007882346 0.0008056734 0.0022158925 0.0008359007 0.0010358659 0.0007115038 0.0018008486 0.00119049 0.0007091786 0.0007556821 0.021197466 0.0032796606 0.0011451491 0.0048758937 0.0038353775 0.0010300529 0.00085101434 0.0009951752 0.0054234727 0.0009963379 0.0016229728 0.0012834971 0.003331977 0.0007510318 0.0028413648 0.0029518108 0.0067406846 0.002632099 0.0023949312 0.0024088821 0.009282102 0.0029494856 0.00452828 0.047700983 6.059815e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0047126715 0.0 0.0 0.0 3.2629774e-05 0.0 0.0 0.0 0.0 0.0 0.0 5.826745e-06 5.8267455e-07 5.8267455e-07 0.0 0.0 0.0022689346 4.894466e-05 2.9133726e-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 0.0001806291 1.165349e-05 4.6613964e-06 2.3306982e-06 0.0 8.740118e-06 2.3306982e-06 1.7480236e-06 0.0 2.9133726e-06 3.4960472e-06 0.0009625783 0.004751128 3.4960472e-06 5.826745e-06 2.5055004e-05 0.00016314887 8.623583e-05 5.8267455e-07 1.1653491e-06 1.1653491e-06 5.8267455e-07 2.9133726e-06 4.0787218e-06 5.8267455e-07 2.9133726e-06 2.0976282e-05 0.00018179446 0.0019041804 6.9920943e-06 0.0 9.322793e-06 0.0037396052 0.00014683398 8.856653e-05 2.8551052e-05 9.031455e-05 8.740118e-06 2.6803027e-05 7.341699e-05 0.00011478688 2.5637679e-05 4.1952564e-05 8.448781e-05 0.0018377554 0.0002377312 7.749571e-05 0.0005372259 0.0020358649 0.00014275526 7.341699e-05 9.730664e-05 0.00017130631 7.399966e-05 6.525955e-05 6.4676875e-05 9.8471995e-05 3.612582e-05 9.3810595e-05 0.00025229808 0.002586492 6.351152e-05 8.91492e-05 2.2141632e-05 0.008291459 0.00021092818 0.0007796185 9.6141295e-05 0.00057917845 0.00022491236 0.0025445397 0.0013564663 0.00024064457 9.3810595e-05 0.00015848747 0.0016920868 0.0016029376 0.00022491236 0.00025055005 0.0007464061 0.0034896377 0.00011828293 0.00013518048 0.00011187351 0.0010761998 0.0004911946 0.0032588986 0.0017340394 0.00036999834 4.4283264e-05 0.00019694399 0.0015108751 0.0015190325 0.0005453834 0.00023015644 0.0006811465 0.009315218 0.0005308165 0.00060073746 0.0023639104 0.0008792559 0.00058442255 0.0020096444 0.0014526076 0.0014776626 0.00043875392 0.0005354779 0.0031190568 0.0045786565 0.0009456808 0.00064210733 0.0027455625 0.008391096 0.00051158824 0.00057451706 0.0010913494 0.0019292353 0.00084021664 0.003704062 0.0025089965 0.0011233964 0.00034202993 0.00046264357 0.0019397235 0.0021861948 0.0009060589 0.00039621867 0.0017322913 0.01993213 0.0025422089 0.0021832814 0.0249711 0.0066465684 0.00305438 0.006775339 0.004458043 0.0033445517 0.0018948575 0.0019572037 0.002298651 0.0033078433 0.0024105245 0.002110447 0.0039983126 0.017340394 0.0020556757 0.0026366021 0.0013646238 0.0065376083 0.0023347768 0.0043706414 0.0026674839 0.004624105 0.0006339499 0.0008705157 0.00096607435 0.0014281352 0.000864689 0.001088436 0.0027222554 0.059498645 0.009597232 0.010225938 0.0089137545 0.022993501 0.018523805 0.009713767 0.011313208 0.039435994 0.0036755109 0.0026074685 0.004935836 0.0140937315 0.0068697324 0.012692399 0.02743931 0.068302855 0.011844608 0.01222859 0.014378076 0.03426534 0.034801982 0.01822431 0.017639888 0.058205105 0.0052306694 0.005750415 0.0084132375 0.024457764 0.012589849 0.025363822 0.05403141 0.004459791 0.0039412105 0.004484846 0.0035543146 0.0045122313 0.004247697 0.0041323276 0.0035240154 0.0039377143 0.0043694763 0.003934801 0.0038141874 0.0038497306 0.0036632747 0.0035216848 0.0032985206 6702.0 10.58102 70914.0 0.01553995 0.0013114477 0.0031587556 0.0012409397 0.007008489 0.0015511747 0.0013960572 0.001269143 0.003595905 0.0010858222 0.0016357842 0.0018191049 0.003215162 0.0019319175 0.0046958285 0.001607581 0.010153144 0.009391657 0.010167245 0.025918718 0.009885213 0.009053219 0.00834814 0.009250642 0.013932369 0.010378769 0.009222439 0.011168458 0.010689003 0.008221226 0.008926305 0.008601968 0.0044278987 0.0095608765 0.008207124 0.016033506 0.012747835 0.009546775 0.00870068 0.0058803624 0.007431537 0.008714781 0.0015229714 0.0027921144 0.007939194 0.009025016 0.003694616 0.0097724 0.010731309 0.0036805144 0.0075020446 0.016541163 0.017034719 0.0066277464 0.004103562 0.0066277464 0.004343289 0.0075443494 0.0032292637 0.0067969654 0.0038779366 0.0062046987 0.006937981 0.007262318 0.0028344193 0.03243365 0.007699467 0.015836082 0.018332064 0.06258285 0.0068956763 0.01216967 0.015836082 0.033350255 0.0031728572 0.0059367684 0.029373607 0.012155569 0.040697183 0.04272781 0.014440026 0.0009307048 0.040767692 0.025989227 0.05283865 0.013438813 0.005852159 0.009969823 0.006472629 0.0067969654 0.0021152382 0.0010858222 0.003384381 0.0012127366 0.0010858222 0.0011704318 5.980506 1.0 6.0 0.0 2.0 860150.0 856064.0 0.0 0.0 16.0 1.0 1.0 0.0 1.0 0.0 708992500.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 2.0 -1.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 25.0 1.0 0.0 4.0 0.0 647168.0 1024.0 4096.0 8.0 2.0 0.0 1.0 4.0 0.0 0.0 0.0 0.0 0.0 -39936.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 512.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -13312.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -647168.0 0.0 0.0 0.0 0.0 0.0 0.0 -10240.0 109056.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.6783915 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0805576 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.3839397 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.5676494 0.0 0.0 0.0 0.0 0.0 0.0 -5.037102 6.80523 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -16.0 0.0 0.0 -39496.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 24.0 0.0 14261.0 0.0 0.0 0.0 0.0 0.0 -13176.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -647008.0 0.0 0.0 0.0 0.0 0.0 0.0 -10212.0 109056.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 10212.0 684032.0 109056.0 745472.0 0.0 0.0 0.0 0.0 39496.0 704512.0 0.0 0.0 0.0 0.0 0.0 0.0 24.0 700416.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0


Input: 0.20167723 0.018444838 0.0032799107 0.003079575 0.0035780843 0.0014722326 0.0011274692 0.0016352963 0.0036619457 0.0011228103 0.0012113306 0.0009178159 0.0024552739 0.0011693999 0.0008758852 0.0028419679 0.0058702943 0.00283265 0.0016306373 0.0010109951 0.00346161 0.004607715 0.0005264629 0.00054975774 0.0008432724 0.00062896014 0.00048453224 0.0009783824 0.0010901976 0.000521804 0.00049850915 0.0005777115 0.009974842 0.0005777115 0.002310846 0.0004891912 0.0009550876 0.0006196422 0.0005777115 0.00048453224 0.0010389489 0.00039135295 0.0006149832 0.00096440554 0.00085724937 0.00042862468 0.0012625792 0.00048453224 0.0026136788 0.0004752143 0.00058702944 0.0043701082 0.0007827059 0.0010669028 0.00044726054 0.0031867314 0.0005450988 0.0016679091 0.00044726054 0.0012998509 0.0017750652 0.0011880358 0.00034476334 0.001029631 0.0022549385 0.00083395455 0.0009783824 0.0015188222 0.1584141 0.0032938875 0.004780097 0.0010669028 0.001425643 0.0016585911 0.00043328363 0.00038203504 0.0029304882 0.0016679091 0.0008246366 0.000642937 0.0067741335 0.0013790533 0.0010249721 0.0029304882 0.0013324637 0.0020452852 0.002315505 0.0031913903 0.0005777115 0.0012718971 0.00039135295 0.0006708908 0.0008386135 0.0011088334 0.0070583303 0.0009783824 0.0007314573 0.003615356 0.00092247484 0.0033125232 0.006965151 0.008670332 0.02028047 0.0062756245 0.005702572 0.004169773 0.002571748 0.0007500932 0.02369083 0.0014908684 0.0062523293 0.0059541557 0.0019893777 0.00040998883 0.0049152067 0.002963101 0.009234066 0.0062290346 0.0061358553 0.0034336564 0.001285874 0.0013790533 0.00064759597 0.0004239657 0.0009783824 0.0010529258 0.0004658964 0.00085259037 0.0035268357 0.00081997766 0.00050782703 0.0021431234 0.0013324637 0.005418375 0.00077804696 0.0004658964 0.00095974654 0.003592061 0.00028885575 0.0078037647 0.00086656725 0.004635669 0.0005823705 0.00037737607 0.0004658964 0.00034010437 0.00032612748 0.0019986955 0.00049385015 0.00039601192 0.00034010437 0.0003214685 0.00079668284 0.0030376443 0.0006010063 0.000260902 0.0005031681 0.0005963474 0.00027953784 0.0002329482 0.00071748043 0.0020732388 0.0038995526 0.00051248603 0.0005264629 0.00041930674 0.000260902 0.00032612748 0.00075475214 0.00034942228 0.00039601192 0.0007873649 0.00051248603 0.00035408125 0.00030283266 0.00022363027 0.0006848677 0.00034010437 0.00026556093 0.00031215057 0.0005683936 0.0012998509 0.000386694 0.0005450988 0.0009690645 0.0004519195 0.00038203504 0.0006941856 0.00057305256 0.00085259037 0.0006010063 0.0008386135 0.004253634 0.0005544167 0.0009830414 0.0011461051 0.0029351471 0.00022363027 0.022004286 0.0018402907 0.00086656725 0.00094576966 0.0004658964 0.00043328363 0.122246556 0.0002981737 0.00064759597 0.00034942228 0.0009364517 0.00054975774 0.0003354454 0.0007361163 0.0008479314 0.00030283266 0.0013138278 0.0011321282 0.0014349609 0.00036805816 0.00061032426 0.0007827059 0.0005963474 0.0010948565 0.00040532986 0.0003354454 0.0012392844 0.0003214685 0.00034476334 0.00033078642 0.001029631 0.00026556093 0.0004519195 0.00064759597 0.0034243385 0.00096440554 0.00034942228 0.0017377936 0.002711517 0.00035874022 0.0006010063 0.0007314573 0.0018635856 0.0005777115 0.00035874022 0.0009877003 0.0013324637 0.00037737607 0.0009690645 0.0015141632 0.0021617592 0.0008432724 0.0006569139 0.0011926948 0.002581066 0.002837309 0.0016818859 0.046035223 0.014261099 0.0 0.0 2.347506e-06 4.695012e-06 4.695012e-06 7.277269e-05 7.042518e-06 9.390024e-06 2.347506e-06 1.8780049e-05 1.173753e-05 1.8780049e-05 7.042518e-06 0.0 2.347506e-06 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.008805495 4.4602613e-05 5.6340145e-05 3.7560098e-05 4.9297625e-05 6.1035156e-05 6.573017e-05 3.7560098e-05 0.00018780048 2.8170072e-05 3.7560098e-05 4.225511e-05 3.2865086e-05 6.1035156e-05 3.0517578e-05 3.7560098e-05 0.0042231632 2.8170072e-05 3.521259e-05 2.5822566e-05 4.4602613e-05 4.225511e-05 4.4602613e-05 2.8170072e-05 0.00018075797 1.6432543e-05 1.6432543e-05 1.8780049e-05 2.347506e-05 3.7560098e-05 1.4085036e-05 2.8170072e-05 0.0039414624 4.695012e-06 1.4085036e-05 2.5822566e-05 0.00012207031 8.920523e-05 0.0003075233 0.00013380784 2.1127555e-05 9.390024e-06 3.7560098e-05 2.8170072e-05 2.8170072e-05 1.4085036e-05 9.390024e-06 2.1127555e-05 0.0023897612 0.0 0.0 0.0 0.055370625 0.0 0.006746732 0.0 0.0 0.0 0.0 0.0 0.03645442 0.0 0.0 0.0 0.008096548 5.6340145e-05 0.00024414062 0.00014789288 0.0753479 4.9297625e-05 0.02948937 0.0018498347 0.00025118314 2.8170072e-05 4.695012e-05 2.8170072e-05 0.071732745 3.2865086e-05 2.8170072e-05 7.042518e-05 0.034860466 0.00011268029 0.004258376 0.00021597055 0.03153405 0.00036386342 0.023207445 0.010751577 0.00047419622 7.042518e-06 9.624775e-05 3.7560098e-05 0.027724046 9.390024e-06 7.98152e-05 0.00088266225 0.041248027 0.0010962853 0.004025973 0.0004601112 0.0022629958 0.001767672 0.013622577 0.0077538122 0.00058687653 5.6340145e-05 2.8170072e-05 6.573017e-05 0.00015258789 7.277269e-05 0.00010094276 0.0036222017 0.014965351 0.00039907603 0.0012864333 0.0006361741 0.0038264347 0.001563439 0.00801908 0.0042513334 0.0003145658 0.0001150278 0.0002347506 0.00014554537 0.00096951996 0.00014554537 0.00019014798 0.0013991136 0.0062279333 0.0010915903 0.00041785606 0.0016573393 0.0018944374 0.0019249549 0.0013122559 0.0008873573 0.00022770808 0.00036855845 0.00014319786 0.00020892803 0.0012676532 0.0005258414 0.00018075797 0.00089439977 0.009728065 0.0005610539 0.00046245867 0.0011432355 0.0010563777 0.0010728103 0.0024390589 0.0012864333 0.00046245867 0.0006690392 0.00020892803 0.00022066556 0.001767672 0.00044133113 0.0003568209 0.002162053 0.024932861 0.003446139 0.002129188 0.0053100586 0.0028850848 0.006615272 0.004486084 0.0028709997 0.0031879132 0.0028545673 0.00087092473 0.0014272836 0.0039954553 0.0023357684 0.0017301119 0.007845365 0.057840202 0.01487145 0.006695087 0.009256216 0.007446289 0.016193096 0.008774977 0.009305513 0.021946834 0.0056387093 0.008946345 0.005943885 0.012775128 0.0061974158 0.009627122 0.038926344 0.014317439 0.0045447717 0.0020634579 0.002866305 0.0024296688 0.004248986 0.0023357684 0.003108098 0.006500244 0.001206618 0.0017934946 0.0016315167 0.0044320915 0.0019930326 0.0032653809 0.0105708195 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1755.0 29.726496 52170.0 0.0032777458 0.00023001725 0.0014567759 0.00036419398 0.0003833621 0.000115008625 0.000115008625 0.00015334484 0.00019168104 0.000115008625 0.000555875 0.00024918537 0.0003833621 0.00030668968 0.0010542457 0.00028752157 0.0005175388 0.0004408664 0.0008050604 0.0008433966 0.00028752157 0.00017251294 0.00032585778 0.007897259 0.00030668968 0.00028752157 0.00028752157 3.833621e-05 0.004178647 0.0005942112 0.00024918537 0.00021084915 0.0004216983 0.0009967415 0.0016867932 0.0018209699 0.6423615 0.000920069 0.015794517 0.0028368793 0.0011692543 0.0009775733 0.0004025302 0.00034502588 0.008778992 0.0008625647 0.0004792026 0.0004025302 0.0014567759 0.0006325474 0.00072838797 0.0019359785 0.0011692543 0.00049837073 0.0009392371 0.0027027028 0.00017251294 0.00026835347 0.00015334484 0.00021084915 0.00026835347 0.00013417673 0.022522522 0.00024918537 0.00017251294 0.0034502589 0.0009584052 0.0022810043 0.02031819 0.008836496 0.06889017 0.01608204 0.0016292889 0.003296914 0.00057504314 0.0004600345 0.08556642 0.0012459268 0.0035460992 0.0040828064 0.0011884224 0.000115008625 0.0039677974 0.003296914 0.0070921984 0.001284263 0.016197048 0.0010734139 0.0014567759 0.0012267587 0.00015334484 0.000115008625 0.00015334484 0.00021084915 7.667242e-05 1.9168105e-05 2.4715047 0.0 0.0 0.0 1.0 214640.0 229376.0 1.0 0.0 197.0 0.0 1.0 0.0 0.0 0.0 1091599100.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.0 1.0 7.0 10.0 5.0 1.0 4.0 0.0 61952.0 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 -5120.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -61952.0 0.0 146432.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -0.44377568 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.253048 0.0 4.522516 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -10540.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -61754.0 0.0 146152.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 1.0 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 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 2.0 -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 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 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 0.0 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 -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 -1.0 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 1.0 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 -1.0 -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 -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 -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 -1.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 -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 1.0 0.0 -2.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 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 0.0 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 1.0 0.0 -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 -1.0 2.0 0.0 -1.0 -1.0 0.0 1.0 0.0 1.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 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 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 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 1.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 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 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 1.0 0.0 -1.0 0.0 0.0 0.0 1.0 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 1.0 -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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 1.0 0.0 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 -1.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 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 -2.0 0.0 -1.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 200.0 61412.0 146152.0 81920.0 0.0 0.0 0.0 0.0 0.0 0.0 28.0 4928.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 11176.0 204.0 600.0 824.0 4096.0 0.0 0.0 0.0 0.0