Input: 0.0044637793 0.0039237384 0.003921068 0.003938904 0.0039277445 0.003910099 0.003897032 0.0039026595 0.0038904508 0.003860311 0.003879196 0.0038937891 0.0039498727 0.0038985582 0.0039066654 0.0039168713 0.0038775746 0.0038461946 0.0038625998 0.0038873986 0.0038555418 0.0038810081 0.003889211 0.003917634 0.0038843465 0.0038866356 0.0038652706 0.0038906415 0.0039074286 0.003907524 0.003869372 0.0039365194 0.0039224033 0.0038831066 0.003881676 0.00388902 0.0038880664 0.0038815804 0.0039198278 0.0039054255 0.0038727103 0.003880913 0.003896269 0.003926886 0.003911816 0.0039056162 0.0039011333 0.00393423 0.0039146775 0.0039077145 0.0038838696 0.0039112438 0.0039094314 0.0038480067 0.003905807 0.0039204 0.0038992257 0.0039106715 0.003903804 0.00387395 0.003959315 0.0039029457 0.0039111483 0.0039146775 0.0039126743 0.003927172 0.003859357 0.0039104805 0.0038528712 0.003873664 0.003911339 0.0039147725 0.0039074286 0.0038948383 0.003917348 0.0038587847 0.003880913 0.0039121974 0.0038735685 0.003956454 0.0039014195 0.0038235895 0.0039034225 0.0038894017 0.0038575449 0.0038821527 0.0039196373 0.003913819 0.0038821527 0.0038726148 0.0039091455 0.003909813 0.003929652 0.0039063795 0.0039355657 0.003928412 0.0039294614 0.0039094314 0.0039123883 0.0039327997 0.0039154403 0.003908287 0.003932418 0.0039292704 0.0039367103 0.00392164 0.003889211 0.0038893062 0.0039212587 0.0038828205 0.003935756 0.003905044 0.003912865 0.0038924539 0.0038920722 0.003927363 0.003919065 0.0038939798 0.0038652706 0.003920114 0.0039063795 0.003921449 0.0039144866 0.0039365194 0.0039327997 0.0039328947 0.0038968413 0.0039653243 0.0039139143 0.0039146775 0.00390657 0.003942433 0.0039004658 0.0038868263 0.0038690858 0.0039024686 0.003854111 0.0038986534 0.003856877 0.0039510173 0.0039054255 0.003935947 0.003891786 0.0039224033 0.0038832019 0.0039020872 0.0038754763 0.003946439 0.0038820575 0.00388902 0.0038989396 0.0039092405 0.0038650797 0.0038660336 0.0039055208 0.003866606 0.003920114 0.003882725 0.0038956013 0.003950254 0.0039032318 0.003912102 0.0038554464 0.0039009426 0.0038941707 0.003915917 0.00387395 0.0039019918 0.0038705165 0.0038752854 0.0038786237 0.0038826298 0.003905807 0.0038766207 0.0039123883 0.0038951244 0.0038933123 0.003883679 0.0038631721 0.003911625 0.003914391 0.003915345 0.0038772884 0.003923357 0.0038998935 0.0038813897 0.003874904 0.0038976998 0.003913628 0.0039194464 0.003918874 0.0039475835 0.0039601736 0.0038932168 0.003904567 0.0039200187 0.003907142 0.0038738546 0.0039104805 0.003921068 0.0038846326 0.0039023734 0.0038694672 0.0038980811 0.0039317505 0.0038983673 0.0039272676 0.003920877 0.003974194 0.0038675596 0.003924692 0.0038848235 0.0038661289 0.0038885432 0.0039115297 0.0039207814 0.0038929307 0.0038943614 0.003903518 0.003928126 0.0039174436 0.0039063795 0.0039011333 0.00394663 0.0039495863 0.0038905463 0.0038866356 0.003914391 0.0038740456 0.0039003703 0.0038924539 0.0039166803 0.003938141 0.0038752854 0.0039091455 0.0039013242 0.00394167 0.0039001796 0.0038735685 0.0039066654 0.003961604 0.0039054255 0.0039106715 0.0038908324 0.0039565493 0.003914391 0.003912293 0.0039028502 0.0039446265 0.0039154403 0.0039325133 0.0039372826 0.0039019918 0.003966469 0.0039230706 0.0039868797 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 9.186575e-05 4.769769e-08 1.9079076e-07 3.8158151e-07 1.0970468e-06 6.2006995e-07 2.1940937e-06 1.0016515e-06 0.0 0.0 0.0 1.4309308e-07 4.769769e-08 0.0 4.769769e-08 4.769769e-08 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 6.944784e-05 3.8158151e-07 2.9572568e-06 3.2911405e-06 1.5263261e-06 8.1086074e-07 1.0970469e-05 5.9145136e-06 1.0493492e-06 1.4309308e-07 1.9079076e-07 3.8158151e-07 9.539538e-08 1.4309308e-07 3.8158151e-07 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.0082574e-05 4.292792e-07 2.8618615e-07 6.2006995e-07 6.439188e-06 4.5312804e-06 2.289489e-05 1.0922771e-05 1.4309308e-07 9.539538e-08 9.539538e-08 3.8158151e-07 3.8158151e-07 1.4309308e-07 1.4309308e-07 9.539538e-08 5.2276668e-05 6.6776767e-07 3.3388383e-06 3.0526521e-06 1.31168645e-05 3.0526521e-06 1.135205e-05 7.1546533e-06 3.8158151e-07 4.292792e-07 6.6776767e-07 4.769769e-07 4.292792e-07 6.2006995e-07 3.8158151e-07 2.8618615e-07 8.5712745e-05 4.34049e-06 3.243443e-06 3.243443e-06 2.0986983e-05 1.0493492e-05 2.8332428e-05 1.5787935e-05 7.1546533e-06 1.0016515e-06 1.1924423e-06 1.1924423e-06 4.7220715e-06 2.0510006e-06 2.4325823e-06 3.4819313e-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 5.4566157e-05 3.386536e-06 9.3964445e-06 1.507247e-05 1.2496795e-05 5.4852344e-06 3.0097242e-05 2.0557703e-05 6.916165e-06 1.383233e-06 1.3355353e-06 1.5740237e-06 2.2799495e-05 2.4325823e-06 2.766466e-06 5.1036527e-06 0.00012415709 2.1702448e-05 1.2544492e-05 1.1590539e-05 3.8158152e-05 4.063843e-05 2.0605403e-05 2.3848845e-05 6.3104046e-05 3.7204197e-06 2.1940937e-06 5.294444e-06 5.098883e-05 6.2483973e-06 2.2465612e-05 4.1163104e-05 5.966981e-05 1.5024772e-05 9.348747e-06 1.1924422e-05 2.6806101e-05 3.1337382e-05 1.0827375e-05 1.5978727e-05 3.858743e-05 2.2894892e-06 1.8602099e-06 5.294444e-06 2.0748495e-05 5.1036527e-06 1.1256655e-05 2.6996893e-05 0.06245655 0.062122185 0.0623612 0.062429644 0.062244818 0.062270097 0.06251488 0.06253034 0.062337972 0.062331483 0.062250637 0.062423874 0.062425975 0.06251512 0.062434226 0.06278805 48172.0 5.6358256 271489.0 0.010563964 0.010243509 0.010541864 0.009849386 0.010140374 0.0102582425 0.010394528 0.0100446055 0.010214042 0.010280343 0.010136691 0.010464513 0.01030981 0.010604481 0.010254559 0.010611848 0.010398211 0.010125641 0.010637632 0.0102582425 0.010276659 0.010243509 0.010711299 0.010659732 0.010376111 0.010641315 0.010272976 0.010232459 0.010449779 0.01032086 0.010383477 0.010214042 0.010221409 0.010475563 0.010214042 0.0101808915 0.010166158 0.010214042 0.010652365 0.010394528 0.010250876 0.01035401 0.01035401 0.010236142 0.0102582425 0.0103650605 0.010306126 0.010519763 0.01049398 0.009952521 0.010457146 0.010622898 0.010339277 0.010497663 0.01048293 0.010420311 0.010379794 0.01032086 0.010361377 0.010597114 0.010265609 0.010228775 0.01033191 0.010560281 0.010807068 0.010700249 0.0107039325 0.01049398 0.010784968 0.011263808 0.0102877095 0.010589748 0.010648682 0.010869686 0.01035401 0.010272976 0.010398211 0.010552914 0.010696566 0.010692882 0.010438729 0.010236142 0.010987554 0.01074445 0.010759183 0.010880736 0.009926737 0.010475563 0.01053818 0.01051608 0.010225092 0.010217725 0.0103650605 0.010265609 0.010306126 0.010409261 6.584612 1.0 0.0 0.0 177.0 10484389.0 48877570.0 1.0 0.0 63.0 0.0 1.0 0.0 0.0 0.0 1541307600.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 14.0 0.0 5.0 1.0 5.0 1.0 9216.0 1024.0 4096.0 7.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -1024.0 0.0 0.0 0.0 0.0 0.0 0.0 -512.0 0.0 3584.0 0.0 0.0 0.0 0.0 0.0 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 -9728.0 0.0 48839680.0 0.0 0.0 0.0 0.0 0.0 0.0 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 4.705336 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0809207 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7.1302676 0.0 7.9999704 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -568.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.0 0.0 3200.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -52.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -8808.0 0.0 48839200.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 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 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 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 0.0 0.0 0.0 0.0 1.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 80.0 17747.0 48839200.0 32768.0 0.0 0.0 0.0 0.0 568.0 48873470.0 28.0 17672.0 0.0 0.0 0.0 0.0 0.0 0.0 160.0 17504.0 0.0 0.0 264.0 18092.0 0.0 0.0 0.0 0.0


Input: 0.18871671 0.0068159807 0.004503632 0.004104116 0.0052663437 0.0031840194 0.0026271187 0.0040677967 0.007929782 0.002699758 0.0027360774 0.0019854722 0.0043341406 0.002142857 0.0016949152 0.00653753 0.0044309925 0.0033292978 0.0016707021 0.0020338984 0.006041162 0.0062227603 0.0020702179 0.0016828087 0.0024092009 0.0015617433 0.0016101695 0.001755448 0.0025302663 0.0022639225 0.0020702179 0.0020460049 0.006041162 0.0016707021 0.0037651332 0.0025060533 0.0038619854 0.0030750604 0.0015012106 0.0017070218 0.0025060533 0.0017675544 0.0016828087 0.002142857 0.0022033898 0.0027966101 0.003014528 0.001622276 0.004188862 0.003220339 0.0029903147 0.0089346245 0.0031598064 0.0034745762 0.0023970944 0.0028329298 0.003244552 0.004285714 0.0034987894 0.0044067795 0.0028813558 0.0030024212 0.002723971 0.0024092009 0.012687651 0.0023970944 0.0023970944 0.0032324456 0.0033656175 0.01027845 0.003849879 0.004237288 0.0022881357 0.002142857 0.0012953995 0.0017433414 0.0027118644 0.0045762714 0.0020581114 0.0017675544 0.006985472 0.0023365617 0.0023486682 0.0054600486 0.0023365617 0.003559322 0.005399516 0.006053269 0.0019612592 0.0024939468 0.0013680387 0.0021307506 0.0016707021 0.0036682808 0.0022397095 0.00248184 0.0022154963 0.004346247 0.0019007263 0.0030750604 0.003510896 0.00992736 0.0089830505 0.0026029055 0.006549637 0.005581114 0.0059322035 0.0016707021 0.005205811 0.0026876514 0.0043825665 0.0048184018 0.0033050848 0.0014164649 0.006622276 0.0057748184 0.010750606 0.010205811 0.0019612592 0.0043946733 0.0031234866 0.0023486682 0.0018401938 0.0012590799 0.0019249395 0.003401937 0.001622276 0.0024939468 0.0064043584 0.004297821 0.0031476999 0.0065859566 0.0027723971 0.00437046 0.0013559322 0.0024213076 0.0039588376 0.0065859566 0.0018765134 0.0100847455 0.0018401938 0.0042251814 0.001937046 0.0019854722 0.0017433414 0.001283293 0.0014891041 0.0015254237 0.0016585956 0.0016343825 0.0013438257 0.0012469734 0.0018159806 0.0054842616 0.0013196126 0.0013680387 0.0015980629 0.0015012106 0.0011864407 0.0018644067 0.002360775 0.002227603 0.0020338984 0.0023728814 0.001803874 0.001803874 0.0013317191 0.0018159806 0.0021791768 0.0018765134 0.0018765134 0.0016343825 0.0014164649 0.0021307506 0.001464891 0.0014164649 0.0024455206 0.0012348668 0.0013680387 0.0011985472 0.0016949152 0.0011985472 0.0020217919 0.0021307506 0.003220339 0.0015617433 0.0013922518 0.0013196126 0.0021307506 0.0015254237 0.0019007263 0.002699758 0.0061985473 0.003244552 0.0023002422 0.0023123487 0.0020702179 0.0016585956 0.0027966101 0.0030266345 0.0022154963 0.0023002422 0.0015254237 0.0013801453 0.0057990314 0.0013559322 0.0015375302 0.0016101695 0.0018644067 0.0014285714 0.0014891041 0.0018401938 0.0020338984 0.0011016949 0.0028813558 0.0018280871 0.0021065376 0.0016101695 0.001464891 0.0018886199 0.002384988 0.001622276 0.0018886199 0.0014164649 0.004927361 0.0017917675 0.0015738499 0.0016585956 0.002118644 0.0025544795 0.004757869 0.006089588 0.009878934 0.003486683 0.0015980629 0.003849879 0.0035230024 0.0014891041 0.0015617433 0.0015980629 0.003607748 0.0019612592 0.0016828087 0.0016949152 0.0027966101 0.001779661 0.0028208233 0.0033171913 0.005157385 0.0024092009 0.0026634382 0.003486683 0.005157385 0.0031113802 0.0039346246 0.03912833 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.009685275 0.00015451938 0.00017306171 0.00021632714 0.00020396558 0.00021632714 0.00022250791 0.00021632714 0.00019160403 0.00021014636 0.00014215783 0.0002966772 0.00016688093 0.00021014636 0.00016070016 0.00019160403 0.021750148 8.035008e-05 0.0025959257 0.00060571596 0.0013721321 0.000661343 0.0068730223 0.0035044996 0.00013597705 0.00013597705 3.0903877e-05 3.708465e-05 1.8542325e-05 3.0903877e-05 2.4723102e-05 0.000117434734 0.028499555 0.00038320807 0.002527937 0.0041967463 0.0017738825 0.0011805281 0.005401998 0.002886422 0.00048210047 0.0009271163 0.0002534118 0.00024723102 0.0007787777 0.0001483386 0.00019778482 0.0007478738 0.0232768 0.00043883504 0.0019654864 0.00079113926 0.0041473 0.0032943531 0.012812748 0.00693483 0.0003523042 0.00033376185 0.0011805281 0.00071696995 0.00026577333 0.00046355816 0.002886422 0.0034303302 0.017306171 0.0003770273 0.0012485166 0.0010198279 0.0007725969 0.0005933544 0.0034488726 0.0037579115 0.002503214 0.00049446203 0.00151429 0.00014215783 0.00039556963 0.000111253954 0.0009394779 0.00334998 0.035193335 0.0032696303 0.0027071796 0.011069769 0.0033994264 0.0024537677 0.008603639 0.0051053204 0.0028555181 0.0024599486 0.002836976 0.0020272944 0.0032016416 0.0011928896 0.005587421 0.009302067 0.020674694 0.0052474784 0.0016688093 0.007756873 0.0020025712 0.0011434434 0.004104035 0.0040051425 0.004419254 0.0024105024 0.00084058545 0.0016626286 0.0038444423 0.0009889241 0.006020075 0.009159909 0.006551622 0.0011619858 0.00071696995 0.0010198279 0.0026762758 0.001403036 0.0011310818 0.0017491594 0.0032572686 0.00015451938 0.00021014636 0.00033376185 0.0012423359 0.0005439082 0.0010878164 0.0020767406 0.069298856 0.014759691 0.0102044605 0.013733683 0.027516812 0.024018493 0.013523537 0.017998418 0.032560326 0.0035292227 0.004678847 0.0065825256 0.014259049 0.006842118 0.017763548 0.039186116 0.0165892 0.017794453 0.017862441 0.017275266 0.01738034 0.017751187 0.017590487 0.016484128 0.017596668 0.017188735 0.017658476 0.016539754 0.017034216 0.017874802 0.017745007 0.018115852 499.0 11.386773 5682.0 0.0073917634 0.0021119325 0.008095741 0.0070397747 0.0049278424 0.001935938 0.0022879269 0.0010559662 0.0035198873 0.003343893 0.001935938 0.0031678986 0.0022879269 0.006159803 0.0075677577 0.0040478706 0.011967617 0.013023583 0.013023583 0.01126364 0.011791622 0.009151707 0.0070397747 0.012143611 0.010911651 0.009327701 0.008623724 0.009855685 0.010383667 0.008095741 0.011791622 0.0065117916 0.0040478706 0.005807814 0.0045758537 0.010911651 0.010911651 0.010735656 0.008975713 0.011087645 0.0040478706 0.01126364 0.001407955 0.00281591 0.008799719 0.009151707 0.0049278424 0.0045758537 0.011967617 0.0031678986 0.005807814 0.014255544 0.0063357973 0.0045758537 0.008271735 0.024111228 0.00281591 0.003343893 0.0017599437 0.003343893 0.0022879269 0.0068637803 0.0015839493 0.005807814 0.0054558255 0.030095037 0.007215769 0.017951425 0.020063357 0.07708553 0.008975713 0.009327701 0.010031679 0.03502288 0.0040478706 0.004223865 0.033966914 0.014255544 0.029215066 0.034846883 0.013199578 0.00281591 0.035198875 0.032910947 0.04787047 0.015839493 0.0068637803 0.012847589 0.010383667 0.011087645 0.00281591 0.001935938 0.0015839493 0.0022879269 0.0035198873 0.0049278424 6.0152164 0.0 0.0 0.0 1.0 82600.0 1064960.0 0.0 0.0 172.0 1.0 1.0 0.0 0.0 0.0 1330111200.0 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 28672.0 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 -28672.0 0.0 12288.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.7483716 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4.499061 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.4727823 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.527772 0.0 5.022628 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -577536.0 -3978.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 10898.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -425660.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -28432.0 0.0 12152.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 -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 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 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 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 0.0 180.0 39780.0 12152.0 1048576.0 0.0 0.0 8696.0 48655176.0 2488.0 499712.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 720.0 32768.0 0.0 0.0 0.0 0.0


Input: 0.14150211 0.008573716 0.0041584126 0.003401327 0.0061999494 0.003922518 0.0020156011 0.0019476734 0.007831451 0.0015005855 0.0016907831 0.0014956453 0.0045437478 0.0013634949 0.0012226992 0.0038644706 0.0061233765 0.0014956453 0.0011794725 0.00089047087 0.0024552788 0.0019699044 0.0007632607 0.00082130806 0.0022934873 0.00075091026 0.00082624826 0.0007076835 0.0016080347 0.0006014692 0.0005915888 0.0005631827 0.0038669407 0.00058417855 0.00064963615 0.0005409518 0.0041398867 0.0013128578 0.00046314366 0.00055947754 0.0011794725 0.0006508712 0.00058170845 0.0009398728 0.0011016644 0.002334244 0.00067433715 0.0005162508 0.0064160833 0.002830734 0.0039867405 0.010254618 0.004148532 0.0020563577 0.0036038752 0.001763651 0.004669723 0.0021218155 0.0007126237 0.0014783546 0.0016623769 0.00097321917 0.00046437868 0.00052736624 0.011744088 0.0039188126 0.004889562 0.008805905 0.0038595304 0.03248181 0.0032605312 0.0027022888 0.0033753908 0.0035396526 0.002183568 0.0023490647 0.0027035237 0.0043770163 0.0011572416 0.0015277565 0.0090380935 0.0021391062 0.0020514175 0.009733427 0.0031975438 0.013805386 0.0032148345 0.002090939 0.0019217373 0.006498832 0.002735635 0.003251886 0.0015623379 0.004626496 0.0023725305 0.0035964649 0.0057516266 0.0044832304 0.0018772755 0.0033494548 0.009381438 0.006208595 0.0041164206 0.0016290306 0.008029059 0.0043374947 0.0038323593 0.0014524185 0.0036458669 0.0018402241 0.004520282 0.004138652 0.0033778609 0.0017772366 0.0050056567 0.0039410437 0.010329956 0.005639237 0.0019167971 0.0011720622 0.00297894 0.0012609857 0.00052983634 0.00058911875 0.0016500264 0.0025133262 0.0010609077 0.00087318016 0.005234141 0.0011560066 0.0010868438 0.009046739 0.0031160305 0.0032210096 0.0010325016 0.00061752484 0.002657827 0.0151614705 0.0022292647 0.05163496 0.001194293 0.010980827 0.00085588946 0.00067927735 0.0026516519 0.00044338286 0.00072620925 0.00064469595 0.0011214252 0.0009349326 0.0015092308 0.00056688784 0.0011720622 0.0005878837 0.0004989601 0.00071138865 0.0009546934 0.00047549413 0.00046437868 0.00041868186 0.00089541107 0.003323519 0.00046561373 0.0025466725 0.0014215423 0.00081636786 0.0005631827 0.0004520282 0.0010448521 0.0004569684 0.0005088405 0.00048660958 0.00084600906 0.0004495581 0.00074102986 0.00065704645 0.0013227382 0.00068421755 0.0017278346 0.0005360116 0.0008768853 0.00066939695 0.00071138865 0.0015771585 0.0031456717 0.002530617 0.004643787 0.0008225431 0.0009991552 0.00047919928 0.0008521843 0.00071385875 0.011978747 0.0011473612 0.002283607 0.010333661 0.0043510804 0.0010572026 0.003552003 0.0033630405 0.0018673951 0.001762416 0.0009818645 0.0013005073 0.0016796676 0.0008917059 0.0009905099 0.00094110786 0.0028702556 0.0011485963 0.0029702946 0.0013511444 0.0018105829 0.00076696585 0.0016018595 0.0008744152 0.0033630405 0.0006533413 0.0010843737 0.0017846469 0.0014944102 0.0007175639 0.00056194764 0.00084106886 0.002435518 0.00065704645 0.0008768853 0.0009892748 0.0024293428 0.0024281077 0.00054959714 0.0006928629 0.02756878 0.0060171625 0.001091784 0.005891187 0.006523533 0.0010411469 0.00067927735 0.00075338036 0.0072324513 0.00097568927 0.0018142881 0.00091764197 0.009124547 0.0021675122 0.0040904847 0.0025898993 0.010053305 0.0030493378 0.0030690986 0.0036075802 0.014867528 0.0039904458 0.004295503 0.0688355 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0019673589 0.0 0.0 0.0003434678 0.00022402765 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0035763972 0.0 0.0 0.0009703739 0.00052293745 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.009525507 0.0 0.0 0.0041141873 0.0028368584 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0027768288 0.0 0.0 0.0021158855 0.0014444214 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00055016734 3.7131654e-06 1.7946966e-05 6.6836976e-05 0.00014852661 7.550103e-05 6.188609e-06 7.4263307e-06 1.5471522e-05 0.0 0.0 1.8565827e-06 8.045192e-06 3.0943045e-06 4.950887e-06 0.0003577016 0.0060840216 0.00020546182 0.00021288815 0.0005495485 0.0019067104 0.00048704352 0.002442025 0.0010625841 0.00019432232 0.00010025546 9.221028e-05 7.488217e-05 0.00067022635 0.00037936174 0.00039978413 0.002882654 0.013294988 0.0006399022 0.0009437629 0.002076897 0.004120376 0.0036011515 0.0069516646 0.003202605 0.00045300619 0.00023516714 0.0003100493 0.00032985286 0.0020781348 0.0011021913 0.0011195194 0.008970389 0.020727508 0.0013002268 0.0012309144 0.002073803 0.007301321 0.0025558956 0.0066775093 0.0032496385 0.0023869465 0.0009728493 0.0009747059 0.0013330263 0.004049826 0.0026443927 0.0026685281 0.009561401 0.02018353 0.0015589106 0.0012488613 0.0022631744 0.009409161 0.004036211 0.0058742277 0.0034012594 0.0058005834 0.0014110028 0.0017755119 0.0023009249 0.0038555034 0.0017693234 0.0040374487 0.009654849 0.07390994 0.009803375 0.007270378 0.01006701 0.042003326 0.030560588 0.021274582 0.013933035 0.051402587 0.0052838344 0.00604689 0.009130055 0.016764322 0.0070636785 0.02740316 0.060985647 0.06017494 0.0101159 0.009105919 0.011655626 0.028081432 0.030564303 0.01764682 0.014590264 0.049752083 0.005877322 0.006473904 0.0091381 0.021070357 0.010922895 0.025049014 0.048462998 0.00023331057 4.765229e-05 8.602167e-05 5.1984316e-05 9.035369e-05 9.901774e-05 4.3320262e-05 6.5599255e-05 0.00013429282 2.9086463e-05 3.3418488e-05 2.9086463e-05 8.416508e-05 6.0029506e-05 7.3025585e-05 0.00010706294 5347.0 16.759304 89612.0 0.0052225147 0.00012275141 0.00053564255 8.927376e-05 0.0032138552 0.0005468018 0.00012275141 0.0001673883 0.00037941348 0.00039057268 0.00070303085 0.000557961 0.00047984644 0.013670044 0.0010824443 0.0004463688 0.030699013 0.017296791 0.03145784 0.013123242 0.027596751 0.014663215 0.028835423 0.011895728 0.030899879 0.014763648 0.0007923046 0.00049100566 0.00091505604 0.0005133241 0.0001115922 0.00013391064 0.0013056287 0.008179708 0.007097264 0.013915547 0.0068406016 0.015466679 0.004530643 0.002946034 0.00472035 0.01687274 0.0023545953 0.0038276124 0.006539303 0.006394233 0.0042516626 0.008838102 0.012375575 0.0025108245 0.005735839 0.019629067 0.012531804 0.00600366 0.0056577246 0.003347766 0.0026670536 0.005133241 0.0014618578 0.0028679194 0.001115922 0.0026782127 0.002789805 0.021280631 0.00024550283 0.029984824 0.013435701 0.026402714 0.025967505 0.05118734 0.012397893 0.010322278 0.01943936 0.033990983 0.008235504 0.00700799 0.024059277 0.012107753 0.0368589 0.033421863 0.019673705 0.0031915368 0.037785117 0.027942685 0.04065304 0.011248494 0.011192697 0.0060148193 0.014395393 0.006405392 0.0010043298 0.0002789805 0.00052448333 0.00024550283 0.00029013972 0.00030129895 5.7556815 0.0 2.0 14.0 4.0 809684.0 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 -6.58848 0.0 0.0 0.0 0.0 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: 0.14278202 0.008651265 0.0041960254 0.0034320923 0.0062560285 0.0039579975 0.0020338325 0.0019652902 0.007902286 0.0015141583 0.0017060763 0.0015091734 0.0045848466 0.0013758278 0.0012337586 0.003899425 0.0061787628 0.0015091734 0.0011901408 0.00089852524 0.002477487 0.0019877222 0.0007701645 0.00082873687 0.002314232 0.0007577023 0.0008337217 0.00071408454 0.0016225795 0.00060690957 0.00059693976 0.0005682767 0.0039019175 0.00058946246 0.00065551215 0.0005458447 0.0041773324 0.0013247328 0.0004673328 0.00056453806 0.0011901408 0.0006567584 0.00058697 0.00094837404 0.001111629 0.0023553574 0.00068043655 0.0005209203 0.0055519138 0.002703053 0.00310309 0.010131775 0.0032152499 0.0019004868 0.002669405 0.0016051325 0.0037224616 0.0019652902 0.00071906945 0.0014917264 0.0016774132 0.000982022 0.00046857903 0.0005321363 0.011850314 0.0039542587 0.0049337884 0.008885555 0.0038944401 0.032775607 0.003290023 0.0027267311 0.0034059216 0.0035716689 0.0022033185 0.002370312 0.0027279775 0.004416607 0.0011677089 0.0015415752 0.009119844 0.0021584544 0.002069973 0.009821466 0.0032264658 0.0139302565 0.003243913 0.002109852 0.0019391197 0.006557614 0.002760379 0.0032812995 0.0015764694 0.0046683433 0.0023939903 0.003628995 0.0058036502 0.0044714403 0.0016686897 0.0032950079 0.009296807 0.0061924714 0.003921857 0.0015714845 0.007846206 0.0042969696 0.003651427 0.0014132144 0.0035180815 0.0017746185 0.004354296 0.004086358 0.003171632 0.0017472017 0.0048727235 0.0038931938 0.010227734 0.005604255 0.0016711821 0.0011353071 0.0028114743 0.0012723915 0.00053462875 0.00059444737 0.001664951 0.0025360594 0.0010705037 0.00088107813 0.0052814838 0.0011664627 0.0010966744 0.009128568 0.003144215 0.003250144 0.0010418406 0.0006231104 0.0026818672 0.015298607 0.0022494285 0.052102 0.0012050956 0.01108015 0.000863631 0.00068542146 0.0026756362 0.00044739328 0.0007327779 0.0006505273 0.0011315686 0.0009433892 0.0015228819 0.00057201536 0.0011826636 0.00059320114 0.0005034732 0.0007178232 0.0009633287 0.000479795 0.00046857903 0.00042246887 0.0009035101 0.0033535804 0.00046982526 0.0025697073 0.0014344002 0.00082375197 0.0005682767 0.00045611683 0.0010543028 0.0004611017 0.00051344297 0.000491011 0.0008536613 0.00045362438 0.0007477325 0.0006629895 0.0013347025 0.00069040636 0.001743463 0.0005408598 0.0008848168 0.0006754517 0.0007178232 0.001591424 0.0031741245 0.0025535065 0.0046857903 0.0008299831 0.0010081927 0.0004835337 0.0008598924 0.0007203157 0.0120870955 0.0011577392 0.0023042622 0.010427129 0.004390436 0.001066765 0.0035841311 0.0033934594 0.001884286 0.0017783571 0.0009907456 0.0013122705 0.0016948603 0.00089977146 0.0009994691 0.00094962027 0.0028962172 0.0011589854 0.0029971611 0.0013633656 0.0018269598 0.00077390316 0.0016163484 0.00088232436 0.0033934594 0.0006592508 0.0010941819 0.0018007891 0.0015079272 0.0007240543 0.00056703045 0.00084867637 0.0024575475 0.0006629895 0.0008848168 0.0009982229 0.0024513165 0.00245007 0.00055456825 0.0006991299 0.027818142 0.006071588 0.0011016593 0.005944473 0.0065825386 0.0010505641 0.00068542146 0.0007601947 0.0072978693 0.0009845145 0.0018306985 0.0009259421 0.009207079 0.0021871175 0.0041274833 0.0026133251 0.010144237 0.0030769194 0.0030968587 0.003640211 0.015002007 0.0040265396 0.004334356 0.06945812 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0103638 0.0 0.0 0.0044507273 0.0030882852 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.000628147 0.0 0.0 0.00037401594 0.00027660947 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 15.401908 82354.0 0.005682784 0.00013356972 0.00058284967 9.714161e-05 0.0034970979 0.00059499237 0.00013356972 0.00018214052 0.00041285183 0.00042499453 0.00076499017 0.00060713507 0.00052213616 0.0148748085 0.001177842 0.00048570803 0.024418972 0.017327635 0.02526896 0.012179129 0.020569736 0.014255531 0.021954004 0.0112441415 0.023981834 0.014352673 0.00086213177 0.00053427886 0.0009957015 0.00055856426 0.00012142701 0.00014571242 0.001420696 0.0089006 0.0077227578 0.015141948 0.0074434755 0.016829783 0.0049299365 0.003205673 0.0051363627 0.018359764 0.0025621098 0.0041649463 0.007115623 0.0069577675 0.004626369 0.009617019 0.013466256 0.0027321076 0.006241348 0.021359012 0.013636253 0.0065327734 0.0061563496 0.0036428103 0.0029021055 0.0055856425 0.0015906938 0.003120674 0.0012142701 0.0029142483 0.0030356753 0.02315613 0.00026713943 0.032117445 0.012421983 0.027903927 0.026604658 0.054994293 0.011231998 0.010527722 0.018663332 0.036209535 0.006860626 0.007115623 0.024613256 0.012373412 0.038091652 0.035493117 0.019100469 0.0030235325 0.03937878 0.029591762 0.042329457 0.011401996 0.009617019 0.006083493 0.013769823 0.0069699106 0.0010928431 0.00030356753 0.00057070696 0.00026713943 0.00031571023 0.00032785293 5.775445 0.0 2.0 14.0 4.0 802426.0 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 -6.57535 0.0 0.0 0.0 0.0 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: 0.7433036 0.0047433036 0.0041852677 0.0008370536 0.0041852677 0.00055803574 0.00055803574 0.0011160715 0.0050223214 0.00027901787 0.00055803574 0.0013950893 0.003627232 0.0008370536 0.0013950893 0.0 0.008091518 0.00027901787 0.0 0.00027901787 0.0013950893 0.0 0.00055803574 0.00055803574 0.00027901787 0.00027901787 0.0016741072 0.00027901787 0.00027901787 0.00027901787 0.0 0.00027901787 0.01171875 0.002232143 0.0 0.0 0.0008370536 0.0025111607 0.00027901787 0.00027901787 0.0016741072 0.0 0.0 0.0 0.00027901787 0.0 0.0027901786 0.00027901787 0.0013950893 0.00055803574 0.0027901786 0.0008370536 0.00055803574 0.0 0.00027901787 0.00055803574 0.0 0.0 0.00027901787 0.00055803574 0.0 0.00027901787 0.0 0.0 0.0025111607 0.0016741072 0.00055803574 0.0011160715 0.0011160715 0.0055803573 0.0008370536 0.00055803574 0.0008370536 0.0008370536 0.0 0.0 0.001953125 0.001953125 0.0008370536 0.0013950893 0.0033482143 0.0011160715 0.002232143 0.001953125 0.0013950893 0.002232143 0.0027901786 0.0016741072 0.0 0.0016741072 0.0011160715 0.0008370536 0.00027901787 0.0 0.0013950893 0.001953125 0.00027901787 0.0033482143 0.00027901787 0.0013950893 0.001953125 0.0075334823 0.00027901787 0.00055803574 0.001953125 0.0011160715 0.003627232 0.00055803574 0.0055803573 0.0008370536 0.0027901786 0.002232143 0.0011160715 0.0 0.004464286 0.0025111607 0.005859375 0.006417411 0.00055803574 0.00027901787 0.0011160715 0.00055803574 0.0 0.0 0.0 0.00390625 0.0008370536 0.00027901787 0.0 0.00027901787 0.0 0.003627232 0.00027901787 0.0008370536 0.00055803574 0.0 0.0 0.0008370536 0.0008370536 0.005859375 0.0 0.0025111607 0.00055803574 0.00027901787 0.00027901787 0.0 0.00027901787 0.0 0.00055803574 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00055803574 0.0 0.0 0.0 0.00027901787 0.0 0.00027901787 0.0 0.0 0.0 0.00027901787 0.0 0.0011160715 0.0 0.00027901787 0.0 0.0008370536 0.0 0.0 0.0 0.00027901787 0.0 0.00027901787 0.00027901787 0.0016741072 0.0 0.0025111607 0.00027901787 0.00055803574 0.0 0.0 0.00055803574 0.0011160715 0.0 0.002232143 0.00055803574 0.0011160715 0.0 0.00055803574 0.0008370536 0.0 0.002232143 0.00027901787 0.0 0.00027901787 0.00055803574 0.0 0.0 0.00027901787 0.00055803574 0.0 0.0 0.0 0.0 0.00055803574 0.00027901787 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00027901787 0.00027901787 0.00055803574 0.0 0.0 0.0 0.00027901787 0.00027901787 0.005301339 0.00027901787 0.0 0.0016741072 0.002232143 0.0 0.00027901787 0.0 0.0 0.0 0.00027901787 0.00027901787 0.0011160715 0.0 0.0 0.0 0.0011160715 0.0 0.0 0.0 0.0027901786 0.00055803574 0.0016741072 0.015625 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.704834 0.01953125 0.02368164 0.0061035156 0.024902344 0.03491211 0.034423828 0.03466797 0.028076172 0.0009765625 0.00390625 0.008544922 0.014892578 0.001953125 0.018554688 0.040039062 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 25.0 10.44 261.0 0.03065134 0.0038314175 0.0 0.0 0.0 0.0038314175 0.0038314175 0.0 0.0 0.0 0.0 0.0 0.0038314175 0.0 0.03065134 0.0038314175 0.0 0.0 0.026819924 0.0038314175 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.007662835 0.022988506 0.0038314175 0.01532567 0.007662835 0.019157087 0.007662835 0.007662835 0.007662835 0.007662835 0.0 0.0 0.007662835 0.011494253 0.011494253 0.011494253 0.007662835 0.011494253 0.022988506 0.019157087 0.019157087 0.0 0.011494253 0.011494253 0.0 0.011494253 0.011494253 0.011494253 0.0038314175 0.0 0.011494253 0.022988506 0.0038314175 0.04597701 0.0038314175 0.01532567 0.026819924 0.10344828 0.0 0.007662835 0.0038314175 0.011494253 0.0038314175 0.007662835 0.053639848 0.011494253 0.038314175 0.03065134 0.007662835 0.0 0.06130268 0.03065134 0.053639848 0.019157087 0.0 0.0 0.01532567 0.007662835 0.0 0.0 0.0 0.0 0.0 0.0 5.313131 0.0 0.0 0.0 1.0 3584.0 20480.0 0.0 0.0 8.0 1.0 0.0 0.0 0.0 0.0 1288815500.0 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 5.0 12.0 4.0 0.0 4.0 0.0 1024.0 1024.0 4096.0 4.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -512.0 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 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 -1024.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.4863 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 3.9240067 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.1671739 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.5249753 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -52.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 307.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -302.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -566.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 51.0 8448.0 40.0 8228.0 0.0 0.0 0.0 0.0 0.0 0.0 32.0 16384.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 36.0 8192.0 0.0 0.0 0.0 0.0


Input: 0.8067925 0.002812423 0.0021607406 0.00097464013 0.0017464706 0.00079393765 0.0005017378 0.0004219596 0.001277413 0.00024125708 0.0002989281 0.00029700572 0.0009650283 0.00022107222 0.00047770824 0.0047309455 0.001167838 0.00043445497 0.00020569329 0.0001345657 0.00051134964 0.0010592242 0.00013264333 0.0001230315 0.0005411463 0.00013264333 0.00013552688 0.0001460999 0.00035371556 0.000103807826 0.00015282819 0.00012495386 0.000759335 0.00010861374 0.00013937162 0.00012975978 0.0013283556 0.0007324219 9.131244e-05 8.554534e-05 0.0002575972 0.00010573019 0.00010188546 0.00020665447 0.00022972288 0.0008266179 0.0003575603 9.6118354e-05 0.0007074311 0.00030661756 0.00026720902 0.001240888 0.00025567482 0.00016724593 0.00014129399 7.59335e-05 0.00035852147 0.00030181164 0.0001345657 0.00044791153 0.00018935316 0.00021146038 0.0002518301 0.0001403328 0.0007266548 0.0011370801 0.0005728654 0.0015292431 0.0027143825 0.0022136057 0.001287986 0.0009804072 0.00048828125 0.0007295383 0.00047578587 0.00021530512 0.0013158603 0.000926581 0.00075068435 0.0004046583 0.0021645853 0.00052288384 0.000864104 0.0015753799 0.0010159711 0.0011966735 0.00079970475 0.0013004814 0.00036140502 0.00023356761 0.00018550843 0.00023933471 0.00043157142 0.0009352316 0.0004219596 0.00044214443 0.0004632905 0.003738043 0.0005642148 0.0018925704 0.0017762672 0.008036456 0.0014879121 0.000864104 0.0011168953 0.0033862498 0.0008948619 0.0005478746 0.0030709815 0.00175416 0.003011388 0.003675566 0.0019156388 0.00015859529 0.003973533 0.0026980422 0.005865142 0.0025279128 0.0012956754 0.003707285 0.000926581 0.0009813685 0.00019992619 0.000106691376 0.00023068406 0.00035852147 0.00015475055 0.0001576341 0.0006468765 0.00032968595 0.00015378937 0.001309132 0.0009496494 0.002487543 0.000151867 0.00020377092 0.000513272 0.0024750477 0.00020088737 0.0050356407 0.00022491695 0.0014677274 0.00010573019 0.00012207031 0.00048924243 9.227362e-05 8.17006e-05 7.6894685e-05 0.00015571174 0.00016244002 7.6894685e-05 6.536048e-05 0.00016628475 7.9778234e-05 6.824403e-05 6.536048e-05 0.00015282819 0.00013072096 0.00010861374 6.920522e-05 0.00037005567 0.0005267286 0.00018262488 0.00014417754 0.00022011103 0.00016532357 9.0351255e-05 0.00011053611 0.00021818867 0.00016244002 5.959338e-05 0.00027297612 0.0001701295 6.247693e-05 6.728285e-05 6.247693e-05 0.00044598916 0.00010476901 0.00010573019 7.59335e-05 0.000198965 0.00024414062 0.00016436238 0.0003392978 0.00034410373 0.00011053611 0.00012399268 0.00010765256 0.00016532357 0.00019319789 0.00011822558 9.0351255e-05 0.0019089106 0.00032584122 0.00074491726 0.00042964905 0.00029988927 0.00016628475 0.00030181164 0.00051711674 0.0003219965 0.0002979669 0.00012399268 0.00011438084 0.015051173 0.000151867 0.00018454724 0.000116303214 0.0004623293 0.00018550843 0.00027297612 8.650652e-05 0.00021914985 5.5748646e-05 0.00010573019 8.650652e-05 0.0002989281 0.00010765256 9.6118354e-05 0.00022972288 0.000303734 5.670983e-05 9.0351255e-05 7.881705e-05 0.00055364176 8.362297e-05 9.515717e-05 7.6894685e-05 0.00038831815 0.00028451034 9.515717e-05 7.6894685e-05 0.0012524222 0.0005488358 9.3234805e-05 0.0004978931 0.0010428842 6.3438114e-05 0.00011053611 9.0351255e-05 0.0006901298 0.00017397423 0.00020280974 0.00010765256 0.00026720902 0.000103807826 0.00052768976 0.00022972288 0.0005421075 0.00017878014 0.0002345288 0.0003796675 0.00079489884 0.00057574897 0.0008765994 0.009104331 0.7674752 9.621306e-07 4.810653e-07 0.0 0.0 4.810653e-07 4.810653e-07 4.810653e-07 4.810653e-07 0.0 0.0 0.0 0.0 9.621306e-07 0.0 8.17811e-06 0.0009375962 2.8863917e-06 3.8485223e-06 2.8863917e-06 2.8863917e-06 1.4431959e-06 1.9242611e-06 6.7349138e-06 3.8485223e-06 9.621306e-07 2.8863917e-06 2.8863917e-06 1.4431959e-06 2.4053263e-06 1.9242611e-06 8.6591745e-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 0.0008731335 1.0583436e-05 1.1064501e-05 2.4053263e-06 8.17811e-06 8.6591745e-06 1.7799415e-05 2.0685806e-05 7.697045e-06 3.3674569e-06 1.4431959e-06 2.8863917e-06 5.7727834e-06 4.810653e-07 1.9242611e-06 9.14024e-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 0.0023115186 1.2988762e-05 1.4913024e-05 3.4155633e-05 6.78302e-05 4.5220135e-05 6.879233e-05 9.5731986e-05 2.1166872e-05 2.0204741e-05 1.0102371e-05 1.4431958e-05 1.2507697e-05 1.5875154e-05 1.7318349e-05 0.00019290717 0.001400381 9.14024e-06 9.621305e-06 1.1064501e-05 3.4636698e-05 4.4258006e-05 0.00015827047 0.000110645015 0.00010342903 3.9928418e-05 7.697045e-06 8.6591745e-06 6.7349138e-06 7.697045e-06 1.0102371e-05 8.17811e-06 0.0039904364 2.645859e-05 0.00033722675 0.00015057343 0.0034963824 0.0019588978 0.0132831745 0.0065477793 7.1678725e-05 5.7727834e-06 1.2988762e-05 1.635622e-05 0.0005609221 6.2538484e-06 2.549646e-05 5.1473984e-05 0.0043738456 0.0001414332 0.0006085476 0.0002867149 0.0022600447 0.0015730835 0.007922664 0.004237704 0.00033289718 5.9171027e-05 4.4258006e-05 6.2538486e-05 0.0033809268 6.975447e-05 0.00018088054 0.0010665217 0.010758543 0.0005421606 0.0007273707 0.0005407174 0.0025337709 0.0018679764 0.008614436 0.005066579 0.00054360373 0.00017270244 0.00029056342 0.00027468827 0.0020219174 0.00020060422 0.000508486 0.0008038601 0.0070423144 0.00031269243 0.00048010313 0.00039254926 0.00085966365 0.0006749346 0.0014566657 0.0010968288 0.0003781173 0.00029008236 0.00030788177 0.00032760546 0.0008452317 0.00032087055 0.00032712438 0.0006508813 0.005991668 0.00040938656 0.00043199662 0.00037571197 0.0006066233 0.0005474523 0.0010559383 0.0009881081 0.00058545644 0.00036128002 0.0003035522 0.0003434806 0.0015466248 0.0002684344 0.00036609068 0.00059652096 0.0021032174 0.00028334744 0.0003146167 0.0003227948 0.0005460091 0.0005017511 0.0005094481 0.00058786175 0.0013671875 0.00010968288 0.00014720597 0.00021936576 0.0018155404 0.0001510545 0.00027997998 0.0015783751 0.01078837 0.0020883044 0.0014494497 0.0017905249 0.0034766586 0.0030393703 0.0020676185 0.004207397 0.007672029 0.00065761624 0.0013503502 0.0010674838 0.006986511 0.0010641164 0.0021291948 0.006322641 0.0066069504 0.001613974 0.0011617726 0.0012906981 0.0025842825 0.0024308227 0.0011415678 0.0022956436 0.005298453 0.00031942734 0.00040794336 0.00059219135 0.0038874885 0.0006301955 0.0015086207 0.0036979488 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 3323.0 19.331928 64240.0 0.0030199252 0.00015566625 0.00020236612 0.00010896638 0.00091843086 0.0007938979 4.6699875e-05 7.783312e-05 0.0005603985 0.00038916562 0.00010896638 3.113325e-05 0.00020236612 0.011316936 0.0038916562 7.783312e-05 0.0017590286 0.003409091 0.001790162 0.001618929 0.0006849315 6.22665e-05 0.0006849315 6.22665e-05 0.00045143213 0.00059153175 0.00040473224 0.0005603985 0.000124533 0.00057596515 0.00021793276 0.00020236612 0.0006070984 0.0134339975 0.004405355 0.018991282 0.010180573 0.011550436 0.0122042345 0.011939601 0.0028019925 0.009589041 0.0013542963 0.0020547945 0.009433375 0.005401619 0.009495641 0.004405355 0.012375467 0.0025684931 0.010943337 0.01813512 0.0123132 0.0040473226 0.004280822 0.013340598 0.0011674969 0.00029576587 0.0006537983 0.0001867995 0.00026463263 0.00010896638 0.00046699875 0.0015722291 0.0005603985 0.05691158 0.0070361146 0.02767746 0.022042342 0.12356787 0.0086861765 0.012095268 0.00991594 0.050622664 0.0017278953 0.0072384807 0.044940848 0.025809465 0.04483188 0.05529265 0.021839974 0.00054483186 0.05907534 0.038776465 0.07646326 0.021668741 0.0061021172 0.007347447 0.008826276 0.012717932 0.0015566625 4.6699875e-05 0.000249066 6.22665e-05 1.5566626e-05 7.783312e-05 5.095787 0.0 0.0 0.0 1.0 1040384.0 1310720.0 1.0 1696.0 1141.0 1.0 1.0 0.0 0.0 0.0 1414547800.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 6.0 3.0 11.0 0.0 6.0 3.0 6.0 3.0 425984.0 4096.0 4096.0 5.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -77824.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 524288.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -425984.0 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 1.8342417 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.7821785 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.3653443 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -76164.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 523038.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3068.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -423150.0 0.0 1304.0 0.0 0.0 0.0 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 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 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 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 -1.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 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 -1.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 -1.0 -1.0 3.0 1.0 0.0 0.0 1.0 1.0 1.0 1.0 0.0 1.0 0.0 -3.0 3.0 0.0 -1.0 -3.0 0.0 2.0 0.0 0.0 1.0 1.0 1.0 -1.0 1.0 0.0 -1.0 2.0 0.0 0.0 -2.0 1.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 -1.0 0.0 1.0 -1.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 -2.0 2.0 1.0 1.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 -1.0 -1.0 0.0 -1.0 1.0 0.0 0.0 -1.0 1.0 -1.0 -1.0 -1.0 0.0 1.0 0.0 2.0 -1.0 0.0 2.0 0.0 0.0 0.0 1.0 2.0 0.0 -2.0 0.0 -2.0 -1.0 1.0 -1.0 0.0 0.0 1.0 0.0 -2.0 0.0 1.0 0.0 -2.0 0.0 0.0 1.0 -1.0 -1.0 1.0 0.0 0.0 1.0 0.0 2.0 0.0 -2.0 0.0 0.0 0.0 1.0 1.0 -2.0 2.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 2.0 -2.0 0.0 0.0 0.0 1.0 -2.0 0.0 -1.0 -2.0 3.0 0.0 -2.0 -2.0 0.0 0.0 -1.0 2.0 1.0 1.0 1.0 0.0 1.0 1.0 1.0 0.0 0.0 0.0 2.0 -3.0 2.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 1.0 1.0 -1.0 2.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 2.0 1.0 0.0 0.0 -1.0 2.0 1.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -2.0 0.0 -3.0 0.0 -1.0 2.0 0.0 2.0 -2.0 0.0 -2.0 0.0 1.0 0.0 1.0 0.0 0.0 -1.0 -2.0 0.0 0.0 -2.0 1.0 0.0 1.0 -1.0 -3.0 -1.0 -1.0 1.0 -1.0 1.0 -1.0 1.0 0.0 0.0 1.0 -1.0 0.0 0.0 1.0 -1.0 -1.0 0.0 0.0 2.0 1.0 1.0 0.0 -2.0 -1.0 1.0 0.0 0.0 1.0 1.0 -1.0 0.0 0.0 1.0 -3.0 3.0 0.0 0.0 0.0 1.0 1.0 2.0 0.0 0.0 2.0 -1.0 1.0 2.0 1.0 -2.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 1.0 -1.0 1.0 -1.0 0.0 -1.0 -1.0 -2.0 1.0 0.0 1.0 1.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 2.0 1.0 0.0 0.0 0.0 -1.0 1.0 0.0 -1.0 -1.0 1.0 0.0 -1.0 1.0 1.0 1.0 0.0 1.0 1.0 1.0 1.0 -1.0 0.0 1.0 1.0 1.0 0.0 0.0 -2.0 0.0 -1.0 1.0 0.0 0.0 1.0 2.0 0.0 -1.0 -1.0 0.0 1.0 0.0 2.0 0.0 0.0 -1.0 0.0 0.0 1.0 -1.0 1.0 0.0 0.0 -2.0 -2.0 0.0 -1.0 -2.0 -1.0 0.0 1.0 -1.0 -1.0 -1.0 -2.0 0.0 0.0 2.0 -2.0 0.0 0.0 -1.0 -1.0 0.0 -1.0 -3.0 1.0 0.0 1.0 0.0 -1.0 1.0 4.0 -2.0 0.0 -1.0 -2.0 -1.0 -3.0 -1.0 0.0 -1.0 -1.0 -2.0 1.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 1.0 0.0 0.0 1.0 1.0 0.0 -1.0 -1.0 0.0 0.0 -1.0 -1.0 0.0 -1.0 1.0 1.0 -1.0 0.0 -1.0 0.0 1.0 0.0 -1.0 0.0 1.0 -1.0 0.0 2.0 1.0 0.0 1.0 -1.0 0.0 -3.0 0.0 0.0 -1.0 -2.0 0.0 -1.0 0.0 1.0 -1.0 -1.0 1.0 0.0 2.0 1.0 0.0 0.0 1.0 0.0 1.0 1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 -1.0 1.0 -1.0 -1.0 0.0 -1.0 1.0 1.0 0.0 1.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 1.0 -1.0 1.0 0.0 1.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 1.0 -1.0 1.0 -1.0 0.0 -1.0 -1.0 0.0 2.0 0.0 -1.0 -1.0 1.0 0.0 -2.0 0.0 0.0 -1.0 -1.0 -1.0 -2.0 0.0 1.0 0.0 0.0 -1.0 0.0 1.0 2.0 -1.0 -1.0 1.0 -1.0 -1.0 1.0 0.0 0.0 -2.0 -1.0 0.0 -2.0 0.0 -1.0 0.0 1.0 0.0 1.0 0.0 -2.0 1.0 0.0 -1.0 0.0 1.0 0.0 0.0 2.0 0.0 0.0 1.0 -1.0 -2.0 0.0 -2.0 -1.0 1.0 -1.0 0.0 0.0 1.0 -1.0 1.0 -1.0 1.0 0.0 1.0 -1.0 2.0 -1.0 0.0 1.0 -2.0 2.0 -1.0 0.0 -1.0 0.0 2.0 0.0 -2.0 -1.0 0.0 1.0 -1.0 1.0 3.0 0.0 1.0 0.0 1.0 0.0 1.0 0.0 -2.0 -1.0 0.0 1.0 1.0 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 1.0 0.0 -1.0 0.0 0.0 -1.0 0.0 -1.0 0.0 1.0 -2.0 -2.0 0.0 1.0 1.0 0.0 -2.0 0.0 0.0 1.0 1.0 0.0 0.0 -1.0 1.0 0.0 -1.0 0.0 0.0 2.0 -1.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 1.0 3.0 -1.0 1.0 0.0 -1.0 0.0 0.0 0.0 1.0 -1.0 -1.0 -2.0 1.0 -1.0 -1.0 -2.0 1.0 0.0 0.0 -2.0 0.0 1.0 2.0 0.0 0.0 1.0 0.0 -1.0 -1.0 -1.0 -3.0 0.0 0.0 -1.0 0.0 -1.0 1.0 1.0 0.0 -1.0 2.0 0.0 -1.0 0.0 -1.0 0.0 1.0 1.0 0.0 1.0 -1.0 0.0 1.0 0.0 -1.0 -1.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 2.0 -1.0 -1.0 0.0 -3.0 0.0 0.0 1.0 -1.0 1.0 0.0 -1.0 0.0 0.0 -1.0 0.0 2.0 0.0 0.0 1.0 -1.0 -3.0 0.0 0.0 -2.0 -1.0 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 1.0 0.0 -1.0 2.0 -2.0 1.0 0.0 1.0 1.0 0.0 -1.0 0.0 0.0 3.0 2.0 0.0 0.0 1.0 -2.0 -1.0 0.0 -3.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -3.0 1.0 -1.0 -1.0 0.0 0.0 -1.0 -1.0 -2.0 0.0 -2.0 -1.0 -1.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 1.0 1.0 0.0 -1.0 0.0 -1.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 2.0 1.0 0.0 -1.0 -2.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 3.0 2.0 -2.0 0.0 2.0 0.0 -2.0 0.0 1.0 0.0 2.0 1.0 1.0 -1.0 2.0 -1.0 -1.0 0.0 -1.0 0.0 -1.0 0.0 -1.0 0.0 -1.0 -2.0 0.0 0.0 1.0 -1.0 1.0 2.0 0.0 1.0 -1.0 1.0 1.0 -1.0 -1.0 -1.0 0.0 1.0 0.0 -4.0 0.0 0.0 -1.0 -1.0 -1.0 1.0 0.0 -2.0 0.0 2.0 1.0 -2.0 1.0 1.0 1.0 0.0 1.0 -1.0 1.0 0.0 0.0 -1.0 0.0 0.0 1.0 1.0 0.0 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 0.0 -1.0 -1.0 1.0 -1.0 0.0 2.0 -3.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 1.0 0.0 1.0 1.0 1.0 0.0 2.0 0.0 1.0 1.0 0.0 0.0 0.0 -1.0 1.0 -1.0 -1.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 -2.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 -2.0 1.0 0.0 -1.0 -1.0 2.0 0.0 0.0 0.0 -1.0 2.0 1.0 -1.0 1.0 -1.0 0.0 1.0 1.0 2.0 1.0 -3.0 5.0 1.0 6.0 -2.0 1.0 15.0 -5.0 0.0 -2.0 -1.0 1.0 1.0 -1.0 3.0 6.0 -2.0 0.0 -1.0 3.0 -1.0 1.0 1.0 6.0 5.0 2.0 -1.0 0.0 4.0 -1.0 -6.0 -1.0 -2.0 4.0 3.0 -1.0 0.0 -3.0 0.0 -1.0 6.0 2.0 -1.0 -4.0 -1.0 4.0 9.0 0.0 1.0 4.0 -1.0 3.0 -7.0 2.0 -1.0 -5.0 2.0 5.0 6.0 -1.0 -3.0 -3.0 0.0 8.0 0.0 -4.0 0.0 -6.0 -2.0 -1.0 -1.0 2.0 3.0 -6.0 2.0 -5.0 5.0 6.0 -4.0 5.0 4.0 2.0 -1.0 0.0 1.0 -1.0 4.0 4.0 0.0 -8.0 1.0 0.0 -8.0 -6.0 2.0 3.0 3.0 2.0 1.0 2.0 -4.0 2.0 3.0 -1.0 10.0 -2.0 0.0 -1.0 -4.0 2.0 -3.0 -1.0 0.0 4.0 0.0 -5.0 -6.0 2.0 10.0 -6.0 -1.0 1.0 -5.0 2.0 1.0 1.0 1.0 8.0 52352.0 961920.0 1000.0 1014272.0 1304.0 1114112.0 0.0 0.0 0.0 0.0 76164.0 1179648.0 56.0 538672.0 0.0 0.0 0.0 0.0 0.0 0.0 92.0 926760.0 0.0 0.0 4760.0 524288.0 0.0 0.0 0.0 0.0


Input: 0.23015106 0.001550919 0.0010548127 0.0008388421 0.0014147636 0.00053679635 0.0007073818 0.0007011218 0.0024429713 0.0010782877 0.0008842273 0.00044133113 0.0013286883 0.0006979918 0.0007433769 0.0016244742 0.0019218249 0.0005493164 0.00095465244 0.00055401144 0.0010094276 0.00091552734 0.00076528697 0.0005853115 0.0018013197 0.0007324219 0.00088266225 0.0008184971 0.0013631185 0.00076372194 0.0009890825 0.0009703025 0.00193591 0.0014601487 0.00095621747 0.0008247571 0.0015102288 0.0006479117 0.0010203826 0.00086701225 0.0012363532 0.0018467047 0.0014679738 0.0016338641 0.0023944562 0.0022708208 0.0018310547 0.001575959 0.0026620717 0.0026808518 0.0028029222 0.002734062 0.0022223056 0.0013678136 0.0013036483 0.0010876778 0.0015070989 0.0018873948 0.0012050531 0.0011346278 0.001178448 0.0008544922 0.0009108323 0.0010923728 0.0026151217 0.0015149239 0.0013412085 0.0005493164 0.0008936173 0.0016589042 0.00080441206 0.00065886666 0.00096404244 0.00060252653 0.0011189779 0.0004663712 0.0009045723 0.00095621747 0.00075746194 0.00056809647 0.0014648438 0.00076372194 0.0016479492 0.00087640225 0.0009343074 0.001140888 0.0012269631 0.0009233524 0.0009812575 0.0013865936 0.0017684546 0.0010031676 0.0016260392 0.0017590645 0.0015086639 0.0012019231 0.0013318184 0.0016995943 0.0013443384 0.0022301306 0.0016557742 0.0028623922 0.0023349859 0.0014883188 0.0024664463 0.0017731496 0.0019155649 0.0018811348 0.0017794096 0.0014491937 0.0017512395 0.001554049 0.0016620343 0.0012160081 0.0022144807 0.0024805313 0.003533779 0.0030282827 0.0017152444 0.0013333834 0.0014836238 0.0013286883 0.0013818985 0.0018654848 0.001550919 0.0014491937 0.0016166491 0.0015978691 0.0018592248 0.0018858298 0.0017481095 0.00398137 0.002781012 0.0028295272 0.0018451398 0.002277081 0.0021299704 0.0032505132 0.0021816157 0.0055463742 0.0026166867 0.0030079377 0.0025806916 0.0029562926 0.0032865084 0.0029484676 0.0025697367 0.003582294 0.0041910806 0.003525954 0.0029109074 0.003119053 0.0026495517 0.0036120291 0.0031926082 0.00389686 0.003594814 0.0033960587 0.0031534832 0.0035713392 0.0031753932 0.0041582156 0.0039782403 0.004231771 0.003145658 0.004291241 0.0031112279 0.0038154798 0.0031988681 0.0037638347 0.0036652393 0.0038201748 0.0037262745 0.0045698117 0.003144093 0.0031973033 0.0029766376 0.003040803 0.0030314128 0.0033506735 0.0024429713 0.0034993489 0.0025932116 0.0027778822 0.002669897 0.0027919672 0.002311511 0.0029124725 0.0025196564 0.00395946 0.002707457 0.002730932 0.0035963792 0.0034445738 0.0029609876 0.004001715 0.0028029222 0.0028999525 0.003577599 0.0030642778 0.0026417268 0.0030736679 0.0021174503 0.0026573767 0.0026980669 0.0024727064 0.0031409631 0.002729367 0.002392891 0.0032677283 0.0025102664 0.003194173 0.0026354666 0.0029171675 0.003577599 0.003508739 0.0028076172 0.0032035632 0.0025415665 0.0033772786 0.0028655224 0.0038201748 0.004435221 0.0035760342 0.003488394 0.0035916842 0.0029625525 0.004322541 0.0038780798 0.004305326 0.003594814 0.005430564 0.0052818884 0.004261506 0.003446139 0.0049062874 0.004666842 0.0040721404 0.0035713392 0.0052333735 0.00387182 0.004187951 0.0037732248 0.004408616 0.003530649 0.003829565 0.0033397186 0.0046026767 0.003083058 0.0021941357 0.00195469 0.0027356271 0.0023772412 0.0016823793 0.0023302909 0.1771381 0.0015753537 1.567516e-06 0.0 0.0 0.0 0.0 0.0 0.0 1.09726125e-05 0.0 0.0 0.0 9.4050965e-06 0.0 3.9187903e-06 3.9187903e-06 0.0045716604 1.3323886e-05 0.0 1.175637e-05 0.0 0.0 0.0 7.837581e-06 2.8215289e-05 0.0 0.0 0.0 2.1945225e-05 0.0 1.959395e-05 0.00014107644 0.002785476 1.2540128e-05 0.0 1.09726125e-05 0.0 0.0 0.0 1.09726125e-05 1.4891402e-05 0.0 0.0 0.0 1.175637e-05 0.0 1.5675161e-05 0.00034798856 0.0039595454 1.2540128e-05 5.4863063e-05 1.4107644e-05 1.567516e-06 1.567516e-06 5.6430577e-05 1.4891402e-05 1.6458918e-05 2.3512741e-06 5.6430577e-05 6.270064e-06 1.5675161e-05 4.7025483e-06 1.6458918e-05 0.00058154843 0.007329705 5.878185e-05 9.405096e-05 4.0755418e-05 1.2540128e-05 2.8215289e-05 0.00011991498 4.1539177e-05 5.4079304e-05 1.09726125e-05 0.00010502357 6.583567e-05 4.9376755e-05 1.01888545e-05 3.605287e-05 0.0015737861 0.014878078 0.00018575066 0.0003526911 0.00010032103 0.00010894237 0.00015361658 0.0004443908 0.00012696881 9.796975e-05 5.4863063e-05 0.00042479686 0.00017477803 9.013218e-05 4.5457964e-05 6.2700645e-05 0.0019601788 0.007202736 7.602453e-05 0.00017477803 0.000101888545 0.00011834746 0.00011442867 0.00029077422 0.00011913122 8.856466e-05 8.4645864e-05 0.00019829079 0.00012226625 0.00010659109 7.132198e-05 0.00010972613 0.0006513029 0.018702034 0.00025315385 0.0005933048 0.0003009631 0.00019907454 0.00032917838 0.0009232669 0.00043263444 0.0001810481 0.00024688378 0.0006270064 0.00036523124 0.0003863927 0.0004953351 0.00070303096 0.002548781 0.02039652 0.00017948059 0.0006944096 0.00054784684 0.000514929 0.00036131244 0.0009459959 0.0005211991 0.00015988664 0.0002633427 0.0007226249 0.00050709146 0.000900538 0.0007767042 0.0018371288 0.004378856 0.022852816 0.0003080169 0.0009593198 0.0012783094 0.0006959771 0.0003080169 0.0016960524 0.0009021055 0.00035739367 0.0006128988 0.0011019638 0.0007657316 0.0012297163 0.0013026058 0.0026185357 0.0063492237 0.02875765 0.00055019814 0.0013990081 0.002387327 0.001295552 0.0007915956 0.0031295458 0.0020220957 0.00090445677 0.0011701507 0.0017595368 0.0010666946 0.0021804147 0.002632643 0.004020679 0.01013791 0.019622166 0.00060270994 0.0012532291 0.004000301 0.0007218411 0.00066932937 0.0018684792 0.0016466756 0.0014601412 0.0014342772 0.0014664113 0.0013378749 0.0024468927 0.0026020766 0.0031271945 0.008709903 0.03465151 0.00232541 0.005984776 0.006143879 0.0023050325 0.0030989791 0.004255806 0.004686089 0.00863623 0.0160545 0.017873602 0.01515788 0.011542404 0.014313773 0.016539646 0.057939313 0.04268111 0.0068876655 0.008832953 0.007861093 0.0058836713 0.008363482 0.011670941 0.013169486 0.02005245 0.02733748 0.028626762 0.022199163 0.021766528 0.022568312 0.031257838 0.10446867 0.015915774 0.0040951357 0.0030817366 0.0035088847 0.0044877985 0.00599183 0.0041084597 0.0057418114 0.011454623 0.0059879115 0.006095286 0.0045975246 0.0071502244 0.0058640777 0.006720725 0.02558343 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 441.0 16.682539 7357.0 0.036291968 0.0023107245 0.0112817725 0.0016310996 0.0067962483 0.0012233247 0.0013592497 0.0061166235 0.0028544243 0.0004077749 0.0012233247 0.00067962485 0.0031262743 0.009106973 0.011145848 0.0077477233 0.0154954465 0.014000271 0.012097322 0.014815821 0.011009922 0.0062525487 0.008699198 0.004485524 0.010194372 0.0070680985 0.007204023 0.007204023 0.018213946 0.011145848 0.015631372 0.007883648 0.0032621992 0.008019573 0.0021747996 0.008971048 0.006388474 0.005572924 0.005572924 0.0065243985 0.004757374 0.0057088486 0.0010873998 0.0014951747 0.0048932987 0.004213674 0.0027184994 0.0020388744 0.014000271 0.0021747996 0.004757374 0.0077477233 0.008699198 0.0032621992 0.0033981241 0.007204023 0.0058447737 0.0019029495 0.0020388744 0.0020388744 0.004077749 0.0012233247 0.0017670246 0.0062525487 0.0073399483 0.040097866 0.009242898 0.02895202 0.025825744 0.06877804 0.010058448 0.007883648 0.009106973 0.036699742 0.0029903494 0.0014951747 0.02976757 0.017534321 0.033709392 0.037923068 0.015903221 0.0013592497 0.04403969 0.03534049 0.05260296 0.016039146 0.008427348 0.005029224 0.008563273 0.010738073 0.0017670246 0.0012233247 0.0027184994 0.0016310996 0.00095147477 0.0017670246 5.848447 1.0 3.0 0.0 4.0 638976.0 659456.0 1.0 2.0 64.0 1.0 1.0 0.0 0.0 0.0 1536571600.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 14.0 0.0 6.0 0.0 6.0 0.0 42496.0 1024.0 4096.0 6.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -3584.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 22528.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2048.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -43008.0 0.0 566784.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.5264373 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4.9185486 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0013583 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -10.072814 0.0 5.86215 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3476.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 22414.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4752.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -42259.0 0.0 566533.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 136.0 69904.0 60.0 70040.0 566533.0 86016.0 0.0 0.0 0.0 0.0 3476.0 655360.0 84.0 67920.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 68008.0 0.0 0.0 264.0 49152.0 0.0 0.0 0.0 0.0