Input: 0.04951749 0.0066933916 0.004885286 0.0051443344 0.007588286 0.0041683237 0.003605744 0.0037051768 0.011426912 0.0030169978 0.0031896967 0.0030510142 0.007839484 0.0028312155 0.0026245003 0.0074993195 0.0065233093 0.002820749 0.002723933 0.0024491847 0.004662871 0.0043724226 0.0026820665 0.0023078856 0.003613594 0.002297419 0.00210902 0.002498901 0.0029620482 0.0024020849 0.0022215361 0.0026323502 0.0034330452 0.0022634026 0.0023288187 0.0024256348 0.0031295137 0.002386385 0.002245086 0.0021718198 0.0027788826 0.0022686357 0.0022320028 0.0034356618 0.0024832012 0.0021744363 0.0021273366 0.0022686357 0.0027945824 0.0022686357 0.0020540704 0.006214544 0.0025460008 0.0024518012 0.0021901364 0.0021953697 0.0027657994 0.0034094953 0.0022006028 0.005089385 0.00267945 0.0026245003 0.0021770531 0.002229386 0.0042154235 0.0035507944 0.0026820665 0.00582728 0.00582728 0.013800213 0.003883109 0.00266375 0.0031321305 0.0023680686 0.0022320028 0.0020854704 0.0025276842 0.010244186 0.002828599 0.0023157354 0.008373281 0.0053667496 0.0035115445 0.0040060915 0.002708233 0.007810701 0.005560382 0.0042101904 0.0024177849 0.004704737 0.0020907035 0.0027134663 0.002357602 0.005693831 0.0037234933 0.0031399804 0.0026088003 0.0023157354 0.0020252874 0.0021116368 0.0029568148 0.0026088003 0.0037234933 0.0021142534 0.004435222 0.0021875196 0.0065573254 0.0022477026 0.0023549853 0.0022817191 0.0020750037 0.0020331373 0.003098114 0.002289569 0.0027291663 0.00266375 0.008226749 0.011010865 0.003098114 0.0026140336 0.002559084 0.002334052 0.002088087 0.0021456531 0.0026245003 0.0049585523 0.0031399804 0.0026349667 0.0035481777 0.0029123318 0.002072387 0.013051852 0.0031242804 0.008873061 0.0020514538 0.0019729543 0.0028469155 0.011110297 0.0026323502 0.031357937 0.0024047017 0.009752256 0.0021273366 0.0022634026 0.002820749 0.0027186996 0.0024727345 0.0026428169 0.0027396327 0.0027736493 0.0021770531 0.0021875196 0.0023392853 0.002310502 0.0021351867 0.00210902 0.0025381509 0.0022215361 0.0021979862 0.0025931003 0.0026402 0.0028861652 0.002043604 0.0024675012 0.0023549853 0.0028940153 0.0022503193 0.00213257 0.002514601 0.0021064035 0.00212472 0.0022320028 0.002415168 0.0020409871 0.001983421 0.002027904 0.0024177849 0.0022843357 0.0021822862 0.0020174372 0.002245086 0.0025852504 0.0032917461 0.0025250674 0.0031975466 0.0022241527 0.0022660191 0.0022110695 0.0023968515 0.0023078856 0.0024596513 0.002313119 0.007227188 0.004244207 0.004626238 0.0056179482 0.0047178203 0.0024282516 0.0042232736 0.005453099 0.0034565951 0.0035586443 0.0025198343 0.0022869522 0.011903142 0.0021744363 0.0028076658 0.0025119842 0.003448745 0.0027788826 0.002873082 0.0026271169 0.002849532 0.0019651044 0.0023654518 0.002386385 0.0032681962 0.0022267695 0.002289569 0.002954198 0.0028338323 0.0022477026 0.0021194867 0.0021299534 0.0037208768 0.0022817191 0.0022320028 0.0022189193 0.0034408951 0.0034461285 0.0022110695 0.002229386 0.016492747 0.0036240607 0.0023366688 0.0057566306 0.007551653 0.0023000357 0.002475351 0.0023968515 0.0049637854 0.0028102824 0.0028783153 0.0026218835 0.0039537586 0.0021011701 0.004278223 0.0033911788 0.0061151115 0.0026349667 0.0024858178 0.0039694584 0.008815494 0.005298717 0.0039171255 0.04327416 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0013257099 6.0378865e-05 3.937752e-05 2.7564263e-05 0.00015488491 0.00015225974 0.00010369414 8.006762e-05 0.00019820018 3.1502015e-05 2.625168e-05 1.5751008e-05 0.00022707703 1.0500672e-05 9.9756384e-05 0.00013519615 0.005347467 0.0007022325 0.00029139366 0.0004200269 0.0021185107 0.002325899 0.00038983746 0.0007626113 0.004915627 0.0002717049 0.00026514198 0.00047515542 0.0035006616 0.0003858997 0.00203188 0.0053658434 0.04481293 0.00796476 0.0037119875 0.0057478053 0.020157352 0.017761886 0.0062452746 0.010557113 0.035838794 0.0033995926 0.0025122857 0.0034245318 0.019949965 0.00444966 0.016526746 0.036186628 0.04331921 0.009277344 0.0049773185 0.008863879 0.01655956 0.01763063 0.007087954 0.015510805 0.03029969 0.0036686724 0.0036962365 0.0039036248 0.015048776 0.005533854 0.014794135 0.03101111 0.031243438 0.03134188 0.031134492 0.0308431 0.03125525 0.030613396 0.030760406 0.03132744 0.031038674 0.031588648 0.030596333 0.031080676 0.031138431 0.03099142 0.031351067 0.031007173 1169.0 5.5791273 6522.0 0.014566084 0.008432996 0.009199632 0.00766636 0.010426249 0.009046305 0.0075130328 0.007053051 0.011192885 0.008432996 0.007819687 0.007819687 0.009506286 0.007973014 0.009352959 0.009199632 0.009506286 0.008586323 0.0072063785 0.008279669 0.007819687 0.00766636 0.009812941 0.008586323 0.010272922 0.008892978 0.008892978 0.009046305 0.009199632 0.010119596 0.00873965 0.008586323 0.010732904 0.008892978 0.00766636 0.009812941 0.009506286 0.008432996 0.011346213 0.007819687 0.009506286 0.007819687 0.0073597054 0.007819687 0.0075130328 0.0073597054 0.007973014 0.009046305 0.021772463 0.0150260655 0.00873965 0.049218033 0.007973014 0.00766636 0.04722478 0.030972095 0.010119596 0.011346213 0.006133088 0.01149954 0.0075130328 0.015486048 0.014566084 0.017785955 0.008586323 0.010579577 0.00766636 0.008432996 0.00766636 0.008279669 0.007819687 0.00873965 0.012879485 0.009352959 0.012266176 0.009352959 0.009506286 0.009046305 0.009966268 0.009199632 0.007819687 0.008126342 0.008432996 0.010732904 0.011346213 0.012112848 0.008586323 0.008892978 0.008892978 0.007819687 0.006746397 0.008892978 0.0075130328 0.010119596 0.0064397426 0.010119596 6.419855 0.0 0.0 0.0 5.0 382168.0 401408.0 1.0 0.0 0.0 1.0 1.0 1.0 0.0 0.0 1419007400.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 9.0 0.0 5.0 0.0 5.0 0.0 226816.0 1024.0 4096.0 5.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -32256.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 65024.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -8704.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -226816.0 0.0 41984.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7.99411 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 7.9972115 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7.977451 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.915543 0.0 7.9956546 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -32116.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 65006.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -24220.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -226608.0 0.0 41576.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 340.0 291052.0 41576.0 323584.0 0.0 0.0 6360.0 375808.0 12172.0 368640.0 28.0 235008.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 272792.0 0.0 0.0 1368.0 233472.0 0.0 0.0 0.0 0.0


Input: 0.03764876 0.0042947056 0.0039859093 0.0037786907 0.006391269 0.003335812 0.003567409 0.0043231472 0.004197191 0.0036242926 0.003713681 0.0033561273 0.004059045 0.0033601904 0.0033317488 0.007858051 0.0039249626 0.0038071324 0.003339875 0.0035389673 0.0034048846 0.0033520642 0.003567409 0.0034048846 0.0034333265 0.0036161663 0.003161098 0.0033195594 0.0036567973 0.003567409 0.0033439382 0.003498336 0.0058996333 0.0033845692 0.0034658313 0.0033236225 0.009629566 0.0033723798 0.003376443 0.0032829915 0.0036567973 0.0036324188 0.003270802 0.0032992437 0.0037380594 0.0033926954 0.0033236225 0.0032829915 0.004140307 0.004465356 0.004119992 0.004278453 0.0046481956 0.003933089 0.0038965207 0.0057492983 0.0045303656 0.0041118655 0.0031082777 0.0034455156 0.0035227148 0.0033439382 0.0034455156 0.003758375 0.0036324188 0.003453642 0.003270802 0.0034008215 0.0043068947 0.0041524963 0.003868079 0.0036121032 0.0033926954 0.0035349042 0.0033723798 0.0034780207 0.0035999138 0.0033154963 0.0034333265 0.0033723798 0.0036974284 0.003453642 0.003453642 0.0034617682 0.0034373896 0.0036121032 0.0034495788 0.0034414527 0.0033601904 0.0032951809 0.0036730499 0.0034455156 0.0033845692 0.0033642536 0.0035105255 0.00920294 0.004871667 0.004201254 0.0038843313 0.0041890647 0.0055867736 0.0041890647 0.0077199056 0.0032586127 0.0042215693 0.003677113 0.0034698944 0.0032870546 0.0039859093 0.0033967583 0.003453642 0.0037380594 0.003453642 0.0034617682 0.003636482 0.003681176 0.0045588072 0.003754312 0.0035064623 0.003421137 0.0035064623 0.0035227148 0.0035795984 0.0032098554 0.003348001 0.003498336 0.0035552196 0.0032464236 0.003794943 0.003498336 0.003681176 0.004241885 0.0037624382 0.0037299334 0.0035511565 0.0036974284 0.0041890647 0.0054201866 0.0035186517 0.0039534043 0.0032545496 0.0056680357 0.003457705 0.0036730499 0.0034008215 0.0033033069 0.003421137 0.0034252002 0.003380506 0.0034130109 0.0032586127 0.0031367196 0.0036649236 0.0035105255 0.0035227148 0.003270802 0.005936201 0.0032870546 0.0033683167 0.0034658313 0.0033317488 0.0032789283 0.003116404 0.0036689867 0.003335812 0.003230171 0.003226108 0.0034292634 0.0030960885 0.0032545496 0.0033439382 0.0035145886 0.0035227148 0.003230171 0.0034455156 0.003453642 0.0034455156 0.0032626758 0.003348001 0.0033967583 0.0032829915 0.0034617682 0.003603977 0.0038111955 0.0040306034 0.0034252002 0.0040346663 0.0036852392 0.0033886323 0.003494273 0.0038965207 0.0031448458 0.0044369143 0.0041809385 0.0035105255 0.0036242926 0.0039371517 0.0035999138 0.004400346 0.004046856 0.0037502488 0.0036893021 0.0033114331 0.0033642536 0.0033439382 0.003417074 0.003339875 0.0035186517 0.003827448 0.0032504865 0.0040306034 0.0036161663 0.0034414527 0.0033886323 0.0032626758 0.0035470934 0.0037705644 0.0034089477 0.0034292634 0.0033195594 0.0033845692 0.0033845692 0.003644608 0.0036324188 0.0036121032 0.0034008215 0.0035389673 0.0034495788 0.0033276856 0.0033276856 0.003494273 0.003494273 0.0057127303 0.0062206187 0.0035633459 0.003453642 0.0034292634 0.003376443 0.0035227148 0.003339875 0.0034048846 0.0034658313 0.0036324188 0.0035430302 0.003380506 0.0039980984 0.0040712343 0.0037096178 0.004018414 0.004213443 0.003794943 0.003376443 0.0036852392 0.0036202294 0.003957467 0.010901319 0.008368201 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.003916465 1.0215089e-05 2.0430178e-05 1.6344142e-05 1.0215089e-05 6.1290534e-06 2.4516214e-05 6.1290534e-06 2.6559232e-05 1.6344142e-05 8.172071e-06 8.172071e-06 3.4731303e-05 2.4516214e-05 1.0215089e-05 4.494639e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0044476497 0.0 0.0027887193 0.0011318319 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 3.0645268e-05 3.0645268e-05 0.0011992514 0.0034200118 4.0860356e-05 0.0020920502 0.0010603262 0.00022473195 3.677432e-05 5.3118463e-05 3.2688284e-05 2.4516214e-05 1.6344142e-05 4.290337e-05 2.0430178e-05 4.290337e-05 0.004388402 7.5591655e-05 0.0012952733 0.0005373137 0.00019817273 0.0002635493 0.00054957176 0.00024311911 0.00016344142 5.9247515e-05 3.0645268e-05 3.4731303e-05 8.784977e-05 5.516148e-05 0.0001368822 0.00024924817 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0022085023 0.00013075313 0.0001368822 0.00012462409 0.00015731237 0.00012258107 0.00012258107 0.00012871012 0.0001368822 0.00013075313 0.00013483917 0.00015118331 0.00013279615 0.00012871012 0.00012462409 0.000112365975 0.0039328095 0.00023699006 0.00037387226 0.000228818 0.00023494705 0.00028397946 0.00046376503 0.00024311911 0.0004024745 0.00024720514 0.0001368822 0.0001940867 0.0003227968 0.00024720514 0.0003248398 0.0004944103 0.0012053805 7.5591655e-05 0.00031462475 9.8064855e-05 0.00017365652 0.000116452014 0.00031462475 6.946261e-05 0.00032688284 0.00015526936 4.9032427e-05 8.784977e-05 0.00021655989 0.00012053805 0.00031666775 0.00054344273 0.008047447 0.0016609734 0.0033566782 0.002402589 0.0019878563 0.0018734473 0.0036345287 0.0013300045 0.0036222704 0.0019183937 0.0009643044 0.0023862447 0.002514955 0.0017038769 0.0029419456 0.005679589 0.06751561 0.053788573 0.056716215 0.053308465 0.05444438 0.053721152 0.059864506 0.054714058 0.05849364 0.05426664 0.05222362 0.05393567 0.056274924 0.05410524 0.056464925 0.05974397 1066.0 10.755159 11465.0 0.04936764 0.005058875 0.0069777584 0.004273877 0.0062799826 0.004361099 0.004012211 0.0053205406 0.0059310948 0.0056694285 0.004186655 0.004797209 0.004622765 0.0035761013 0.0057566506 0.004622765 0.014740515 0.026602704 0.022677714 0.02773659 0.01805495 0.016659398 0.015787179 0.056694288 0.02468382 0.015961623 0.004361099 0.005582207 0.006018317 0.0073266462 0.0054077627 0.0058438727 0.0068905363 0.0079372 0.004186655 0.0048844307 0.0064544263 0.005582207 0.0061055385 0.0073266462 0.004797209 0.0063672047 0.005146097 0.0058438727 0.0056694285 0.0059310948 0.0062799826 0.004273877 0.0067160926 0.0053205406 0.0048844307 0.0068033147 0.004361099 0.004535543 0.004535543 0.006018317 0.005582207 0.004186655 0.006018317 0.0058438727 0.0034016573 0.005146097 0.004186655 0.12594853 0.0049716528 0.020322721 0.011164414 0.025468819 0.015089403 0.023026602 0.014042739 0.007239424 0.0061927605 0.00968164 0.004709987 0.004273877 0.010641081 0.0067160926 0.009332752 0.0128216315 0.006018317 0.0067160926 0.013955517 0.00924553 0.014827737 0.0099433055 0.005146097 0.0063672047 0.0066288705 0.0069777584 0.005233319 0.0048844307 0.005058875 0.0062799826 0.005494985 0.0054077627 5.9374866 0.0 0.0 0.0 5.0 246117.0 532480.0 0.0 0.0 91.0 0.0 1.0 0.0 0.0 0.0 1364793300.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 9.0 0.0 5.0 0.0 5.0 0.0 33792.0 1024.0 4096.0 10.0 8.0 0.0 3.0 3.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -236544.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1024.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7.917574 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 3.351034 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1000.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 12160.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -236173.0 0.0 0.0 0.0 0.0 -213312.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -33290.0 1000.0 563.0 12256.0 0.0 0.0 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 2.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -2.0 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 140.0 497084.0 563.0 528384.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 388.0 507904.0 0.0 0.0 0.0 0.0


Input: 0.73172146 0.0074353446 0.0032596982 0.0015355604 0.0030037716 0.0014278017 0.0014682112 0.0010775862 0.008634159 0.0018184268 0.0025188578 0.0028556034 0.0014008621 0.0013604526 0.0006465517 0.00061961205 0.0017645474 0.0016433189 0.00041756465 0.00045797415 0.0010775862 0.0006734914 0.00051185343 0.0012257543 0.0008351293 0.00040409484 0.0012122844 0.00036368534 0.0009159483 0.001091056 0.00055226294 0.0013739225 0.0061153015 0.00079471985 0.0006869612 0.0006465517 0.00051185343 0.0011584052 0.00044450432 0.00032327586 0.0009698276 0.0005792026 0.0005792026 0.001091056 0.0007273707 0.0023033405 0.0023572198 0.0010506465 0.0019396552 0.0014951508 0.0013739225 0.0010371767 0.00088900863 0.00086206896 0.001010237 0.0018992457 0.0019127155 0.0012931034 0.0015894397 0.00070043106 0.00055226294 0.0006061422 0.00059267244 0.0004983836 0.0027209052 0.0014682112 0.00086206896 0.0017241379 0.0017241379 0.0013604526 0.00086206896 0.0006734914 0.001091056 0.0011449354 0.0006869612 0.0004983836 0.0014008621 0.0015220905 0.00079471985 0.0006734914 0.0017241379 0.00059267244 0.0011045259 0.0016567888 0.0011045259 0.0011179957 0.0008755388 0.0011179957 0.0008351293 0.0006061422 0.00041756465 0.0010237069 0.0021551724 0.0005387931 0.00079471985 0.001010237 0.0010641164 0.003596444 0.00071390084 0.002896013 0.0025727372 0.004067888 0.0010641164 0.0009832974 0.0014682112 0.0032462284 0.00088900863 0.0004983836 0.0035425646 0.0012931034 0.0027613146 0.0041891164 0.0023302801 0.0003367457 0.003044181 0.0035290949 0.004229526 0.0025053879 0.0017241379 0.0030037716 0.0016433189 0.0009832974 0.0007677802 0.00051185343 0.0004849138 0.00029633622 0.0004983836 0.0007273707 0.0027613146 0.00059267244 0.00070043106 0.0008755388 0.0005792026 0.00061961205 0.00022898708 0.0005792026 0.0014951508 0.0006330819 0.0005657328 0.0013604526 0.001171875 0.00079471985 0.00047144396 0.00032327586 0.0007677802 0.00043103448 0.0003367457 0.0006061422 0.00025592672 0.0004849138 0.00030980603 0.00014816811 0.00055226294 0.0005387931 0.0005792026 0.00041756465 0.00066002156 0.00059267244 0.0011584052 0.00035021553 0.0008485991 0.0004849138 0.001091056 0.0003367457 0.0004849138 0.00029633622 0.00036368534 0.000390625 0.00059267244 0.0003367457 0.00040409484 0.00035021553 0.00037715517 0.00045797415 0.00040409484 0.0002424569 0.00088900863 0.00032327586 0.00036368534 0.00026939655 0.00055226294 0.00026939655 0.0007273707 0.00036368534 0.0005792026 0.00036368534 0.00037715517 0.00029633622 0.00032327586 0.0002828664 0.00018857759 0.00032327586 0.001171875 0.0002828664 0.00036368534 0.00020204742 0.00066002156 0.0004983836 0.0003367457 0.00040409484 0.0005387931 0.0004849138 0.00082165946 0.00021551724 0.001481681 0.00066002156 0.00052532327 0.00026939655 0.0008351293 0.0007408405 0.00088900863 0.00040409484 0.0004849138 0.0002424569 0.00030980603 0.00040409484 0.0010237069 0.00018857759 0.0004983836 0.00036368534 0.0002828664 0.00035021553 0.00022898708 0.00044450432 0.0014951508 0.00051185343 0.0006061422 0.00055226294 0.00075431034 0.00041756465 0.0006869612 0.0011449354 0.00086206896 0.00032327586 0.00030980603 0.0004849138 0.00055226294 0.00017510777 0.0005792026 0.00043103448 0.0015355604 0.00043103448 0.0003367457 0.00025592672 0.0010641164 0.00071390084 0.0005387931 0.00036368534 0.0007408405 0.00025592672 0.00043103448 0.00047144396 0.0005792026 0.0006869612 0.0008081897 0.0071524787 0.237119 0.00027508804 0.00024070202 0.00030947404 7.564921e-05 5.5017605e-05 0.0002475792 0.00019943881 4.1263203e-05 8.9403606e-05 4.1263203e-05 2.0631602e-05 9.628081e-05 0.00018568442 8.9403606e-05 0.00035073725 0.191028 0.00042638645 0.00070835167 0.0011278609 0.00022007042 0.00022007042 0.00037136883 0.0004951584 0.00028884242 0.00017880721 0.00030259683 0.00024070202 0.0002475792 0.00022694762 0.00033010563 0.0007702465 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.012550891 9.628081e-05 0.000116912415 0.000116912415 0.00014442121 0.0001237896 0.00021319323 0.00027508804 6.18948e-05 9.628081e-05 1.3754401e-05 1.3754401e-05 3.4386005e-05 6.8772006e-06 0.00013754402 8.252641e-05 0.011815031 0.00048828125 7.564921e-05 0.0001237896 0.00017193002 6.18948e-05 0.00022007042 8.252641e-05 0.00020631602 6.18948e-05 4.1263203e-05 4.8140406e-05 0.00028884242 0.00014442121 0.00013066681 0.0001237896 0.07994746 0.0020425287 0.0009559309 0.0014510894 0.0013616857 0.0013410541 0.002503301 0.0019049846 0.0015198614 0.00071522885 0.00048828125 0.00026821083 0.0012860366 0.00061207084 0.0009559309 0.0012378962 0.032597933 0.00071522885 0.0008802817 0.0010247029 0.00066021126 0.00062582525 0.0013960717 0.0011828785 0.0006327025 0.00034386004 0.0002819652 0.00026821083 0.00025445642 0.00020631602 0.00040575484 0.00077712367 0.039543904 0.0012722821 0.0015611246 0.0012791593 0.0010453345 0.001334177 0.0023451254 0.0025720731 0.001196633 0.0007358605 0.00044701804 0.00030259683 0.0006189481 0.00031635124 0.00046764966 0.0012997909 0.062224913 0.0020425287 0.003947513 0.0039887764 0.00339046 0.0028265296 0.0064233053 0.0047452683 0.0017193002 0.0009971941 0.0010934749 0.00039887763 0.00046764966 0.0005845621 0.0011141065 0.0026270908 0.07588991 0.0033423195 0.0060244277 0.004497689 0.0028884243 0.0022557217 0.00931173 0.006581481 0.0024345291 0.0013066682 0.001402949 0.0012929137 0.0011484926 0.0013066682 0.002228213 0.0048484267 0.007819377 0.00048828125 0.00060519367 0.00022007042 0.00037824604 0.0008046325 0.00032322842 0.00048828125 0.0009696853 7.564921e-05 4.1263203e-05 0.00016505281 0.0006189481 0.00014442121 0.00029571963 0.00064645684 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.009352993 0.00043326363 0.0013548086 0.00083214126 0.0020012653 0.0015611246 0.004875935 0.0031566352 0.00039200045 0.00044014084 0.0005157901 0.00043326363 0.00059143925 0.00067396567 0.00057768484 0.0009765625 0.0043945312 0.00023382483 0.0012447733 0.0006533341 0.0011278609 0.00070835167 0.0018912302 0.0012929137 0.00020631602 0.00024070202 0.00019943881 0.00022694762 0.00029571963 0.00068084284 0.00037824604 0.00030947404 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.008060079 0.0026545995 0.0024757923 0.0025514415 0.005412357 0.004628356 0.0046214787 0.0038443552 0.0040575485 0.0028196522 0.0025101784 0.0027371258 0.0027921435 0.0022007043 0.0025858274 0.0023863886 102.0 18.058823 1842.0 0.033116177 0.0005428882 0.0065146578 0.0010857764 0.0010857764 0.008143323 0.0005428882 0.0005428882 0.005428882 0.0021715527 0.0016286644 0.0010857764 0.0021715527 0.05917481 0.024972856 0.0021715527 0.014657981 0.019543974 0.01194354 0.009229098 0.0032573289 0.0048859934 0.0021715527 0.002714441 0.0016286644 0.003800217 0.014115092 0.002714441 0.0032573289 0.0032573289 0.0010857764 0.0005428882 0.0043431055 0.014115092 0.0010857764 0.021172639 0.008143323 0.014657981 0.003800217 0.003800217 0.008143323 0.015200868 0.0 0.0032573289 0.01791531 0.012486428 0.0032573289 0.003800217 0.01791531 0.0010857764 0.0065146578 0.022258414 0.013572204 0.007600434 0.00597177 0.01194354 0.0043431055 0.0032573289 0.0 0.0005428882 0.014115092 0.0005428882 0.007057546 0.011400651 0.0010857764 0.033659067 0.007057546 0.021715527 0.034744844 0.04505972 0.0048859934 0.008143323 0.010857764 0.034201954 0.0016286644 0.0021715527 0.052660152 0.007600434 0.03257329 0.03583062 0.008143323 0.0005428882 0.034744844 0.028773073 0.033116177 0.013572204 0.009229098 0.009229098 0.0043431055 0.0065146578 0.0032573289 0.0005428882 0.0 0.0005428882 0.0005428882 0.0005428882 5.74688 4.0 0.0 2.0 1.0 74240.0 94208.0 1.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 1247528800.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 6.0 1.0 9.0 0.0 6.0 1.0 6.0 1.0 37376.0 1536.0 4096.0 4.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -5120.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -37376.0 0.0 29696.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.7242095 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0100155 0.0 3.6157455 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4794.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7804.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -36926.0 0.0 29232.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 460.0 36740.0 29232.0 53248.0 0.0 0.0 0.0 0.0 2808.0 86016.0 28.0 4832.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 9480.0 784.0 640.0 688.0 4096.0 128.0 36364.0 0.0 0.0


Input: 0.41945046 0.0152365165 0.013770241 0.018169068 0.011443325 0.0129096005 0.0025819202 0.0029006759 0.0039525693 0.00114752 0.0019125334 0.0013068978 0.004813209 0.0012112712 0.0007650134 0.002805049 0.0023269157 0.00035063113 0.00070126227 0.00031875557 0.0017531557 0.0025819202 0.0003825067 0.00022312891 0.0011156445 0.00015937779 0.00031875557 9.5626674e-05 0.00089251564 0.00028688 0.00012750224 0.00015937779 0.009148285 0.00022312891 0.0003825067 9.5626674e-05 0.017021548 0.0022631646 0.0009562667 0.00028688 0.0018806579 0.0009562667 0.00022312891 0.00015937779 0.0012431467 0.0010200179 0.016256534 0.00025500447 0.0024225423 0.0011156445 0.0013068978 0.0010518935 0.004111947 0.0026775468 0.002231289 0.002103787 0.0006693867 0.00044625782 0.00028688 0.00073313783 0.0011156445 0.0008287645 0.00041438226 0.00015937779 0.010487058 0.0008287645 0.00047813336 0.0023906669 0.0056419736 0.0036975646 0.00089251564 0.00114752 0.0010200179 0.0009562667 0.00031875557 0.00025500447 0.0014662757 0.0010518935 0.00047813336 0.0006056356 0.0037613157 0.00022312891 0.0012112712 0.0015937779 0.0018487823 0.0025500446 0.00051000895 0.00012750224 0.00073313783 3.187556e-05 0.00044625782 0.0011156445 0.0008287645 0.0014662757 0.00022312891 0.034553103 0.002805049 0.032768074 0.0059607294 0.006215734 0.01909346 0.01909346 0.0029325513 0.006056356 0.0027731736 0.023779167 0.00035063113 0.00063751114 0.009148285 0.007809512 0.0076501337 0.005896978 0.007012623 0.00022312891 0.0105826855 0.009467041 0.02942114 0.0033788092 0.0018169068 0.0017212802 0.0050682137 0.0016256535 0.00047813336 0.00025500447 0.0006056356 0.00092439115 0.00028688 9.5626674e-05 0.0009881423 0.00063751114 0.00022312891 0.0033788092 0.0011793956 0.0019125334 0.00019125335 6.375112e-05 0.0008287645 0.007012623 3.187556e-05 0.00459008 0.00070126227 0.00229504 0.00019125335 6.375112e-05 0.0076501337 9.5626674e-05 6.375112e-05 9.5626674e-05 0.00041438226 6.375112e-05 9.5626674e-05 6.375112e-05 0.0011793956 0.0 3.187556e-05 0.00012750224 0.0008287645 0.00015937779 6.375112e-05 6.375112e-05 0.0012431467 0.00073313783 0.00031875557 0.00019125335 0.00089251564 0.0 0.00019125335 6.375112e-05 0.00089251564 6.375112e-05 0.00019125335 3.187556e-05 0.0009562667 0.00012750224 0.00012750224 0.00022312891 0.00047813336 6.375112e-05 0.00012750224 3.187556e-05 0.00044625782 3.187556e-05 0.00092439115 9.5626674e-05 0.0011156445 0.00019125335 6.375112e-05 0.00012750224 0.0007650134 6.375112e-05 0.00019125335 0.00022312891 0.002231289 0.00025500447 0.0006056356 0.0012431467 0.0006693867 0.00019125335 9.5626674e-05 0.004972587 0.0006693867 0.0012750223 0.00025500447 0.00012750224 0.0018487823 6.375112e-05 0.0 0.00022312891 0.00092439115 6.375112e-05 0.00031875557 0.00012750224 0.00028688 9.5626674e-05 9.5626674e-05 0.0 0.00057376 9.5626674e-05 0.00012750224 0.00031875557 0.0006056356 6.375112e-05 0.00012750224 6.375112e-05 0.0009881423 0.00012750224 9.5626674e-05 0.00012750224 0.001083769 0.0009562667 0.00015937779 3.187556e-05 0.0044307024 0.0006056356 0.00019125335 0.00073313783 0.0019125334 9.5626674e-05 0.00019125335 9.5626674e-05 0.0007650134 9.5626674e-05 3.187556e-05 0.00012750224 0.00047813336 0.00019125335 0.0003825067 0.00022312891 0.0012750223 0.0 0.00044625782 0.00031875557 0.0010200179 0.00028688 0.00057376 0.007777636 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.027007004 0.00037042025 0.0010775862 0.0004546067 0.00020204742 0.00026939655 0.0039399248 0.0009765625 8.4186424e-05 0.0 0.0 0.0 1.6837284e-05 0.0 0.0 8.4186424e-05 0.10733769 0.0018015894 0.005623653 0.0015321929 0.0009092134 0.0020373114 0.009159483 0.0056068157 0.0004209321 0.00062297954 0.0005051185 0.00023572198 0.00048828125 0.0003199084 0.00052195584 0.0008081897 0.051673625 0.0009428879 0.0031654094 0.0013133081 0.0003367457 0.0009765625 0.00545528 0.0020373114 0.00047144396 0.00028623384 0.00037042025 0.00023572198 0.00035358296 0.0003030711 0.00018521013 0.00085870153 0.15269734 0.00272764 0.017325565 0.0068022627 0.0009428879 0.002845501 0.03434806 0.016601562 0.00065665407 0.0004377694 0.0008418642 0.00062297954 0.002003637 0.00062297954 0.0008755388 0.0010270744 0.054788522 0.0007745151 0.0045797415 0.0034011314 0.0054047685 0.02138335 0.055394664 0.02399313 0.00037042025 0.0003199084 0.0005051185 0.00025255926 0.00025255926 0.0002188847 0.00037042025 0.00040409484 0.055664062 0.0006734914 0.010641164 0.004731277 0.004630253 0.009866648 0.031148976 0.01407597 0.00092605065 0.0014648438 0.00055563037 0.00018521013 0.0007745151 0.00037042025 0.0008081897 0.0014143318 0.020272091 0.0010439117 0.0014143318 0.0005724677 0.001599542 0.00075767783 0.0008755388 0.0008081897 0.0017174031 0.00075767783 0.00035358296 0.0004209321 0.0012459591 0.00018521013 0.0011954472 0.0012627963 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.02498653 0.0013301455 0.004562904 0.0012122844 0.0071390085 0.0022898708 0.00089237606 0.0017847521 0.0078125 0.0030475485 0.0013806573 0.0011954472 0.0037715517 0.00079135236 0.0032832704 0.0034853178 0.032647494 0.0024919182 0.006549704 0.0019194505 0.010371767 0.0042935074 0.0012627963 0.003670528 0.013116244 0.004663928 0.002070986 0.0019699624 0.006549704 0.0012627963 0.005202721 0.0054047685 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 771.0 12.337224 9512.0 0.018608075 0.00010513036 0.00010513036 0.00021026072 0.02922624 0.0015769554 0.00031539108 0.0 0.0029436501 0.0025231286 0.0005256518 0.00031539108 0.0018923465 0.0029436501 0.04699327 0.0005256518 0.0045206053 0.0017872162 0.0041000843 0.0031539109 0.010828427 0.008410429 0.007043734 0.0066232127 0.00094617327 0.00031539108 0.00031539108 0.0010513036 0.0013666947 0.0012615643 0.00063078216 0.0 0.0038898233 0.0017872162 0.00021026072 0.0041000843 0.0030487804 0.004310345 0.0010513036 0.0015769554 0.001156434 0.0028385199 0.0005256518 0.00042052145 0.0042052143 0.0016820858 0.0012615643 0.0014718251 0.0024179984 0.00042052145 0.0035744323 0.0035744323 0.004625736 0.0015769554 0.0010513036 0.00021026072 0.0014718251 0.0 0.00063078216 0.0025231286 0.0013666947 0.0025231286 0.0 0.1132254 0.00063078216 0.104604706 0.008515559 0.017031118 0.057401177 0.059819177 0.007674516 0.018818336 0.007674516 0.07811186 0.00063078216 0.0017872162 0.029751893 0.025651809 0.025126157 0.019028595 0.021551725 0.00010513036 0.033641715 0.019238856 0.09020185 0.0066232127 0.0044154753 0.0050462573 0.015138772 0.0047308663 0.001156434 0.00073591253 0.0008410429 0.00042052145 0.0 0.0 4.8843246 0.0 0.0 0.0 1.0 31372.0 110592.0 0.0 0.0 56.0 0.0 0.0 0.0 1.0 705.0 1286225300.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 2.0 56.0 4.0 0.0 4.0 0.0 6144.0 1024.0 4096.0 7.0 1.0 0.0 2.0 6.0 0.0 0.0 -588.0 0.0 0.0 0.0 0.0 0.0 -512.0 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 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 -6144.0 -2048.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -0.714756 0.0 0.0 0.0 0.0 0.0 -1.2908521 0.0 0.0 0.0 0.0 0.0 5.369683 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.875 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.871205 -4.5953503 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -77824.0 0.0 0.0 0.0 0.0 0.0 -24.0 0.0 0.0 0.0 0.0 0.0 1676.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 284.0 0.0 0.0 -16.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5684.0 -2008.0 0.0 0.0 0.0 0.0 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 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 3.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 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 -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 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2008.0 24576.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 24.0 32768.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0


Input: 0.18886848 0.009534334 0.0037199322 0.0042531868 0.0051141037 0.002447831 0.002550627 0.002030222 0.005467465 0.0025056538 0.0021073192 0.0017282587 0.0049470603 0.0020109478 0.0019017269 0.0023514598 0.003540039 0.0024799549 0.0017860815 0.002190841 0.0027497944 0.0050948295 0.0017539576 0.0018310547 0.0021779914 0.0022036904 0.0017539576 0.0017411081 0.0026983963 0.0015869141 0.001927426 0.002158717 0.0068359375 0.0024028576 0.0017539576 0.0017668072 0.0019916736 0.004940635 0.0017154091 0.0018182052 0.0027819183 0.0020687706 0.0019723992 0.002158717 0.0024799549 0.004060444 0.0019467003 0.0015033922 0.0036107113 0.0017218338 0.0025056538 0.0022165398 0.0016832853 0.0017411081 0.001484118 0.0016511616 0.0026791221 0.0016383121 0.0017154091 0.0020109478 0.0019081518 0.001535516 0.001509817 0.0017218338 0.012804533 0.008352179 0.0021394428 0.0024735301 0.0061035156 0.010260331 0.002133018 0.0037392064 0.0022036904 0.0036942333 0.0015290913 0.0017860815 0.002113744 0.008320056 0.0034500926 0.0018310547 0.008834036 0.0055702613 0.00481214 0.002210115 0.0020109478 0.0049277856 0.0024799549 0.001850329 0.005024157 0.0016832853 0.0015676398 0.0017668072 0.0017411081 0.002788343 0.0014455694 0.0017925062 0.0029361122 0.00364926 0.0020494964 0.0026855469 0.0037520558 0.0062962584 0.0025442024 0.0017732319 0.008332905 0.0035785877 0.0055252877 0.0022229645 0.0035593132 0.0027112458 0.0035271896 0.0040283203 0.0032445004 0.0016061884 0.00481214 0.0034822163 0.0050755553 0.00312243 0.0016061884 0.0020494964 0.0034051193 0.001953125 0.0016832853 0.0015740646 0.0018824528 0.0019145765 0.001509817 0.001561215 0.004227488 0.005756579 0.002788343 0.0057951272 0.002242239 0.005711606 0.0015869141 0.0015226665 0.0028718647 0.006328382 0.0018182052 0.022968493 0.0020109478 0.015387285 0.001407021 0.0015162418 0.0021779914 0.0023835835 0.0016897101 0.0017668072 0.0019402755 0.0041118423 0.0016061884 0.0014969675 0.0023578845 0.0017475329 0.0016575863 0.0015997635 0.0017603824 0.0014905428 0.0018117804 0.0017154091 0.0028525905 0.0018696032 0.0014455694 0.001509817 0.0025120785 0.0015933388 0.0014905428 0.0016640112 0.0020944695 0.0015483656 0.0015933388 0.0015869141 0.0020944695 0.0016447369 0.0017411081 0.0015804893 0.0023643093 0.0015804893 0.0015740646 0.0016126131 0.0017860815 0.0015997635 0.0015804893 0.0018053557 0.002788343 0.0015676398 0.0015290913 0.0015483656 0.0016447369 0.0017925062 0.0017860815 0.0014519943 0.0030003597 0.0050691306 0.0026726974 0.003925524 0.0045230263 0.0015869141 0.005159077 0.0035079152 0.0024414062 0.0018310547 0.0016768606 0.0016575863 0.0052040503 0.001535516 0.0015997635 0.0016126131 0.0030646073 0.0015804893 0.0017154091 0.0015033922 0.0019338507 0.002704821 0.0039383736 0.0020944695 0.0020623459 0.0014648438 0.0017282587 0.0016640112 0.0022807873 0.0015804893 0.002004523 0.0018374794 0.0031866776 0.0019723992 0.0022229645 0.004426655 0.0029618114 0.0034179688 0.0019659745 0.0017603824 0.012084961 0.00260845 0.0025956004 0.0032701995 0.006745991 0.0021458676 0.0023386101 0.0022743626 0.006032843 0.0027305202 0.0026791221 0.004484478 0.0026405735 0.0018567537 0.001850329 0.0019017269 0.004657946 0.0018888775 0.0020430714 0.002653423 0.010292455 0.002814042 0.011808696 0.055599816 0.01986755 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.005917581 4.527111e-05 6.467301e-05 1.9401905e-05 0.0050153923 0.001684732 0.000119645076 6.1439365e-05 7.760762e-05 7.4373966e-05 5.173841e-05 3.880381e-05 2.2635555e-05 9.700952e-06 1.9401905e-05 2.2635555e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.015321037 3.5570156e-05 0.000601459 0.00031366412 0.0004850476 0.0003071968 0.0014713111 0.00083428185 9.377587e-05 4.527111e-05 6.1439365e-05 5.820571e-05 4.850476e-05 0.000119645076 5.820571e-05 1.2934603e-05 0.009675083 0.0005658889 0.0004850476 0.00045917838 0.00020695364 0.0004850476 0.0003071968 0.00020371999 0.00046241205 5.173841e-05 4.850476e-05 7.114031e-05 3.5570156e-05 6.467301e-05 5.820571e-05 6.467301e-05 0.0044753724 2.5869205e-05 4.203746e-05 1.6168253e-05 0.00013904698 2.2635555e-05 2.5869205e-05 1.9401905e-05 0.0003071968 1.6168253e-05 2.5869205e-05 6.1439365e-05 0.0002813276 4.203746e-05 0.0002425238 0.000879553 0.029225735 0.00097332883 0.0010121326 0.00039127172 0.0022506209 0.0011253104 0.0018852183 0.0012740584 0.0016588628 0.0003589352 0.00021988824 0.00013581333 0.0007178704 0.00043007554 0.0009700952 0.0037283993 0.016656535 0.0015230494 0.0020954057 0.0006176273 0.0034826417 0.0009862635 0.006331488 0.0037575022 0.00062086096 0.00029749586 0.0001843181 0.00021988824 0.00016814984 0.0015327504 0.00029102855 0.0009700952 0.020087438 0.0016297599 0.006376759 0.0020210317 0.0047987374 0.0018755174 0.007760762 0.0045368117 0.00091512315 0.0003945054 0.00044947743 0.00046887936 0.0005141505 0.0023120602 0.00329509 0.002166546 0.012313741 0.0013904698 0.0013290304 0.001138245 0.0048019714 0.0020210317 0.002425238 0.0012417219 0.003877147 0.0008407492 0.0009571606 0.0010800393 0.002832678 0.0012320209 0.006153637 0.00934525 0.049588032 0.0057526645 0.0038933153 0.0024640418 0.011337179 0.0099822795 0.008420426 0.0025254812 0.032439984 0.004223148 0.0036637262 0.002489911 0.009481064 0.0024478736 0.013345276 0.04986613 0.033393912 0.0041067363 0.004355727 0.0024575745 0.013581333 0.008358987 0.0070428913 0.0026968645 0.021798039 0.0027421357 0.0019563586 0.0022603218 0.009147998 0.0030687344 0.008924875 0.026425393 0.003249819 0.00044947743 0.0012190863 0.0010412355 0.0020986393 0.0010768056 0.0026612945 0.0016329936 0.0012740584 0.0004462438 0.00039773903 0.00039773903 0.0016135917 0.00052061776 0.0005335524 0.0012546565 0.020760037 0.021380898 0.020937888 0.020582186 0.022687294 0.02205673 0.02099286 0.02190475 0.020892616 0.021956488 0.020944355 0.020876449 0.0224286 0.021587852 0.022438303 0.021943554 768.0 14.029948 10775.0 0.04547564 0.010951276 0.0031554524 0.0026914154 0.0018561485 0.010023202 0.0014849188 0.004547564 0.003062645 0.003062645 0.005661253 0.001299304 0.0020417634 0.030162413 0.006960557 0.001763341 0.010301624 0.0016705337 0.002598608 0.002598608 0.0016705337 0.0016705337 0.0012064965 0.00092807424 0.0036194895 0.0019489559 0.002412993 0.0025058005 0.00287703 0.0025058005 0.0020417634 0.0021345709 0.0023201855 0.04139211 0.0049187937 0.0094663575 0.056798145 0.007888631 0.004640371 0.031461716 0.003526682 0.031183295 0.0010208817 0.0020417634 0.004640371 0.004176334 0.028770301 0.0047331788 0.03526682 0.005011601 0.00612529 0.0073317867 0.0053828307 0.002227378 0.002227378 0.004640371 0.029791184 0.004176334 0.0021345709 0.001299304 0.001299304 0.0019489559 0.0019489559 0.004547564 0.001113689 0.02914153 0.005939675 0.016426913 0.015962876 0.061809745 0.010301624 0.007238979 0.017447796 0.024315545 0.0023201855 0.004083527 0.022645012 0.013642691 0.025893271 0.03563805 0.01837587 0.0015777262 0.04102088 0.025429234 0.036566127 0.01512761 0.0025058005 0.005011601 0.014477958 0.00575406 0.003062645 0.0007424594 0.0013921114 0.00092807424 0.0013921114 0.0014849188 5.681257 0.0 0.0 0.0 5.0 155648.0 155648.0 0.0 0.0 104.0 0.0 0.0 0.0 0.0 0.0 1387344500.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 6.0 0.0 4.0 0.0 4.0 0.0 57344.0 4096.0 4096.0 4.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 12288.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -12288.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -57344.0 0.0 69632.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4.9589562 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.1190906 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.801567 0.0 7.64441 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 10852.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -11080.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -54969.0 0.0 67444.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 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 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 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -2.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 1.0 1.0 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 -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 -1.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 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 -1.0 0.0 0.0 0.0 -1.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 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 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -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 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 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 4.0 0.0 0.0 0.0 0.0 0.0 -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 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 -1.0 1.0 0.0 0.0 0.0 -1.0 1.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 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 3.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 2.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 69400.0 67444.0 86016.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 952.0 61440.0 0.0 0.0 0.0 0.0


Input: 0.20029663 0.011642905 0.007337557 0.004710292 0.011983734 0.0049791303 0.0034127824 0.0031895007 0.008125886 0.0029009776 0.002215384 0.0020279097 0.0058636344 0.0019501079 0.0024917212 0.0075964592 0.0059155645 0.0026737587 0.0017821308 0.002348116 0.005282839 0.0040783165 0.0021913873 0.0016677715 0.0042408565 0.0013413788 0.0014283669 0.0016450871 0.0037376755 0.0012793248 0.0015421638 0.0017114531 0.0076926337 0.0013708122 0.0013335048 0.0012870112 0.025901264 0.0018985524 0.001207897 0.0011479052 0.002909039 0.0012990095 0.0011177219 0.0023428665 0.0026182663 0.0013081958 0.0015354146 0.0012590775 0.003536703 0.0021227717 0.0027196899 0.005073805 0.0039783926 0.0019064263 0.0019576068 0.0019182372 0.0032410559 0.0028962907 0.0024412905 0.004310972 0.0031238846 0.002931536 0.0024392284 0.0024619128 0.0041773026 0.0021317704 0.0019712925 0.0021653282 0.0106702885 0.0035098942 0.0028338619 0.0021743271 0.0028646076 0.0016224027 0.0012560779 0.0013963087 0.0055940463 0.0025322156 0.0021561421 0.0020594054 0.008398287 0.0054408796 0.0044420166 0.003982892 0.005723591 0.004090502 0.0048848307 0.003624816 0.0022652522 0.0016934555 0.0012058348 0.0031366327 0.0042104856 0.002871919 0.0033411672 0.00339441 0.0020340963 0.0033278565 0.0014866713 0.0020970877 0.0042404816 0.00525678 0.0053184587 0.0019281734 0.005896442 0.0034617132 0.008113701 0.0016327138 0.0049470724 0.0024879717 0.0032166843 0.0037779824 0.0031602546 0.0020526564 0.004666048 0.0038709696 0.010908943 0.0063593164 0.0016994546 0.0016619598 0.001861245 0.001507106 0.0010507936 0.0010470441 0.0034242184 0.0018203756 0.0019358598 0.0012909481 0.0041116867 0.002350928 0.0021567044 0.009736291 0.0039363983 0.0053432053 0.0014759853 0.0010440445 0.0029279739 0.010964998 0.0017022667 0.027738137 0.0019684804 0.008527832 0.0011913993 0.00084213464 0.001828812 0.00093081 0.00069740444 0.0007701445 0.00171539 0.0009979258 0.000909063 0.0008125137 0.0012045224 0.00095649395 0.0009315599 0.0008569451 0.0017791312 0.0010714157 0.0010562303 0.0010312962 0.0016598976 0.0008768174 0.0007356492 0.0012420174 0.001397621 0.00077914324 0.000839135 0.0008410098 0.0012476416 0.00076602004 0.0009049385 0.00081513834 0.0013545019 0.00080126524 0.0010852888 0.0012075221 0.001817751 0.00097467896 0.00093380956 0.0008308862 0.0014789848 0.0021951369 0.002258503 0.0019062388 0.002200386 0.0016700212 0.0013246936 0.0010562303 0.001598031 0.0009401837 0.0015086058 0.0014413026 0.007920415 0.0029725928 0.0041118744 0.002799929 0.0042213593 0.0012975098 0.0029176627 0.0045728735 0.0017418239 0.002262815 0.0012502662 0.001353752 0.019151252 0.0011737767 0.0014578003 0.0013711872 0.0023642385 0.001445427 0.0020997124 0.0013953713 0.001204335 0.0010076745 0.0021583918 0.0015014817 0.0022511915 0.003116948 0.0011492176 0.0019992262 0.0018010658 0.0033526032 0.0013318176 0.0010519184 0.0021263338 0.0013016341 0.0012174582 0.0009549942 0.0017320752 0.001372312 0.0009264981 0.00088937813 0.010951688 0.0017480105 0.0014083071 0.0028492347 0.0030608932 0.0011364693 0.0013781236 0.0010185479 0.002551713 0.001617341 0.0011246584 0.0014150562 0.0018698688 0.004988879 0.0020843395 0.0017789438 0.002926099 0.0013655629 0.0014686738 0.0017318877 0.0033364804 0.0013436284 0.002236756 0.05378038 0.010325629 7.875504e-06 2.0626321e-06 2.3439e-06 1.7813641e-06 4.6878e-07 3.843996e-06 3.75024e-07 1.312584e-06 0.0 9.3756e-08 9.3756e-07 7.50048e-07 9.3756e-08 4.6878e-07 2.062632e-05 0.0038164319 1.921998e-05 8.531796e-06 1.27508165e-05 5.719116e-06 4.031508e-06 2.718924e-06 5.719116e-06 7.96926e-06 1.1438232e-05 1.17195e-05 6.56292e-06 1.0500672e-05 3.28146e-06 6.187896e-06 9.947512e-05 0.008468605 5.222209e-05 2.5970412e-05 3.375216e-05 2.1657635e-05 1.8657443e-05 3.768991e-05 7.931758e-05 8.4755426e-05 6.169145e-05 2.3720268e-05 2.9720652e-05 3.656484e-05 2.6907972e-05 2.437656e-05 0.00019098098 0.0035202566 6.506666e-05 2.8220556e-05 3.703362e-05 2.7751776e-05 1.7157348e-05 2.015754e-05 1.87512e-05 2.2220172e-05 2.0532563e-05 2.57829e-05 3.0283189e-05 3.7596157e-05 4.0502593e-05 1.64073e-05 0.00010453794 0.0037888675 0.00012497675 4.0408835e-05 5.672238e-05 3.0189432e-05 2.8408069e-05 3.7877424e-05 3.1783286e-05 5.175331e-05 3.3658405e-05 3.4314697e-05 2.6345437e-05 3.3564647e-05 1.0875696e-05 3.328338e-05 0.0002452657 0.0042838054 0.0002938313 0.00013847761 0.00028295562 7.8942554e-05 7.472353e-05 0.0003264584 4.6315465e-05 5.203458e-05 4.3502783e-05 3.3845918e-05 3.140826e-05 1.87512e-05 4.3784054e-05 7.0879534e-05 0.0007087016 0.0068002166 0.0006618236 0.00041777673 0.00018132411 0.00015994774 9.131835e-05 0.00019641883 0.00015479115 0.00016613564 0.000113351 9.347473e-05 0.00016182286 0.00022707703 0.00013397733 0.00017982401 0.0010134086 0.030627178 0.0005386282 0.003543133 0.0006558232 0.0012437671 0.0010853194 0.011251095 0.0054411297 0.00020260672 0.00019960653 0.00016454178 0.0002765802 0.00076992426 0.00032889604 0.0004577168 0.0025458504 0.024174985 0.0007766747 0.0017797701 0.0017973963 0.002702423 0.0025357248 0.008609801 0.0049526608 0.000979844 0.00045762304 0.0004133702 0.0007730182 0.0007567984 0.0012260472 0.00046634235 0.005969257 0.011736001 0.0015439738 0.0013542117 0.0015354421 0.0012934578 0.0012160153 0.0025598202 0.001785583 0.0009258405 0.0006377283 0.0005437848 0.0010600054 0.0012035458 0.0006131642 0.0007418912 0.0073478455 0.012604276 0.0021411057 0.0021035096 0.0021757018 0.0017816452 0.0015790386 0.0015386298 0.0013468987 0.0013035834 0.0009514359 0.0012212656 0.0016682005 0.0015194097 0.0011175715 0.001287645 0.009438885 0.0153832035 0.0031781408 0.0031547018 0.015527306 0.0035894485 0.0035652595 0.0032339257 0.0029642836 0.002892654 0.0021218858 0.002544069 0.0029800346 0.0032040176 0.0028446508 0.0029511575 0.012622558 0.016410207 0.0032366447 0.0031399822 0.0033228064 0.0041499217 0.005153017 0.003040976 0.002921812 0.0051168273 0.0018737137 0.0017042966 0.002037318 0.0057939333 0.002211423 0.0025389125 0.0085847685 0.07424875 0.014394734 0.019415367 0.009139522 0.016979119 0.024421187 0.0128862 0.013343167 0.041099817 0.0046976446 0.003447877 0.0065444503 0.025624452 0.008917883 0.011728032 0.01879536 0.050927322 0.013268443 0.018520748 0.009365194 0.014443862 0.020323113 0.012817383 0.012484361 0.030912573 0.0040499778 0.0036063245 0.0059859455 0.018914804 0.009191182 0.011007798 0.015333043 0.0035796042 0.002562539 0.0025539135 0.0029345627 0.0026076357 0.0026002289 0.0026569513 0.0027367377 0.0022078601 0.0022762083 0.002681609 0.002522599 0.002433062 0.0025210988 0.002564039 0.0026120422 25565.0 11.588813 296268.0 0.013052371 0.0048402124 0.0054612714 0.004587063 0.026833812 0.009346267 0.005255377 0.004485803 0.010271106 0.0065143723 0.004732202 0.0076923594 0.008920977 0.006504246 0.005154117 0.007034172 0.01842926 0.012292924 0.011908137 0.01214441 0.013970459 0.010480376 0.009714178 0.012981489 0.012627081 0.013251515 0.012029649 0.011597607 0.012330052 0.014858169 0.01314688 0.012805973 0.0062173437 0.008823093 0.008553067 0.0065143723 0.015242956 0.007300822 0.005488274 0.011762998 0.010038208 0.007675483 0.0051912456 0.0047085746 0.015067439 0.0057583 0.006429989 0.0046579447 0.015928145 0.014108848 0.015408346 0.015729003 0.015654745 0.012137659 0.0105343815 0.012623706 0.010179972 0.006575128 0.00717256 0.006264598 0.008212159 0.004489179 0.0056064106 0.014115598 0.0056806677 0.018071476 0.007810496 0.012495443 0.016306182 0.02999649 0.010824659 0.014375498 0.010676145 0.016319683 0.0070139198 0.0056165364 0.020599592 0.010871913 0.012927485 0.016994748 0.010335237 0.003118798 0.022142114 0.012465065 0.027569633 0.012181538 0.0068822824 0.006635884 0.009660172 0.0066190073 0.003820865 0.003172803 0.0070139198 0.0051034875 0.0034394534 0.003834366 6.4114513 2.0 71.0 0.0 10.0 5334064.0 5554176.0 1.0 0.0 712.0 1.0 1.0 1.0 0.0 0.0 1541771300.0 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 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 8.0 0.0 4.0 0.0 4.0 0.0 2751488.0 1024.0 4096.0 5.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -176640.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 549888.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -41984.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2751488.0 0.0 1798656.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.7718644 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4.643266 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3.9661818 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.593835 0.0 6.397484 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -176590.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 549888.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -260228.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2750988.0 0.0 1798524.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 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 1.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 -1.0 0.0 1.0 0.0 -1.0 -1.0 0.0 1.0 1.0 1.0 1.0 -1.0 -1.0 1.0 0.0 1.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -2.0 0.0 -1.0 0.0 1.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 -1.0 0.0 1.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 -1.0 1.0 0.0 0.0 1.0 1.0 0.0 0.0 1.0 0.0 0.0 1.0 -1.0 -3.0 1.0 0.0 2.0 1.0 -1.0 0.0 1.0 1.0 0.0 2.0 -1.0 -1.0 0.0 -1.0 1.0 -1.0 -1.0 1.0 -1.0 0.0 1.0 0.0 -1.0 0.0 -1.0 0.0 0.0 1.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 -1.0 1.0 0.0 1.0 1.0 -1.0 0.0 1.0 0.0 0.0 -1.0 1.0 0.0 2.0 0.0 -1.0 1.0 -1.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 2.0 1.0 1.0 -1.0 0.0 -1.0 1.0 0.0 0.0 2.0 0.0 2.0 1.0 -1.0 -1.0 2.0 0.0 0.0 -2.0 -1.0 1.0 0.0 0.0 -1.0 1.0 0.0 -1.0 0.0 1.0 0.0 0.0 -1.0 -1.0 0.0 0.0 1.0 -1.0 -1.0 0.0 -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 2.0 0.0 -2.0 0.0 0.0 1.0 1.0 0.0 0.0 -2.0 0.0 0.0 -2.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 -1.0 -1.0 2.0 0.0 0.0 2.0 -1.0 1.0 -2.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 -1.0 0.0 0.0 -1.0 -1.0 1.0 0.0 0.0 -1.0 -1.0 -1.0 0.0 2.0 1.0 0.0 0.0 0.0 -1.0 -2.0 0.0 -1.0 0.0 -1.0 -1.0 0.0 -1.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 -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 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 -1.0 -1.0 1.0 1.0 1.0 -1.0 -1.0 0.0 0.0 1.0 0.0 -2.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 -3.0 1.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 1.0 0.0 -1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 -1.0 -1.0 2.0 -1.0 1.0 0.0 0.0 0.0 -1.0 0.0 1.0 -1.0 0.0 1.0 1.0 0.0 1.0 1.0 2.0 3.0 0.0 0.0 0.0 0.0 0.0 -2.0 1.0 0.0 -2.0 -1.0 0.0 0.0 1.0 -1.0 0.0 -2.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 -1.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 -2.0 0.0 -1.0 0.0 -1.0 0.0 0.0 1.0 1.0 0.0 0.0 -1.0 0.0 -2.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 2.0 0.0 0.0 2.0 1.0 0.0 0.0 -1.0 -1.0 -1.0 0.0 1.0 0.0 1.0 1.0 0.0 -1.0 0.0 0.0 1.0 0.0 -1.0 1.0 1.0 0.0 1.0 1.0 1.0 1.0 0.0 1.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 -1.0 -1.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 1.0 -2.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 -2.0 0.0 0.0 1.0 1.0 0.0 0.0 -2.0 0.0 0.0 1.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 1.0 2.0 0.0 1.0 0.0 1.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 -1.0 0.0 -1.0 -2.0 0.0 -1.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 1.0 2.0 1.0 -1.0 -1.0 0.0 -1.0 -1.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 -1.0 1.0 -1.0 0.0 -2.0 0.0 -2.0 2.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 -1.0 1.0 -1.0 0.0 0.0 -1.0 1.0 2.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 3.0 -1.0 -1.0 0.0 0.0 -1.0 -1.0 0.0 0.0 1.0 0.0 0.0 1.0 -1.0 -1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 -1.0 0.0 1.0 -1.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 1.0 1.0 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 1.0 0.0 0.0 1.0 0.0 1.0 0.0 -2.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 1.0 -1.0 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 1.0 1.0 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 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 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 0.0 1.0 0.0 -1.0 0.0 -1.0 0.0 0.0 1.0 1.0 1.0 0.0 -1.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 1.0 1.0 -1.0 0.0 -1.0 -1.0 -2.0 0.0 1.0 -1.0 0.0 1.0 0.0 0.0 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 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 1.0 2.0 -1.0 -1.0 0.0 0.0 0.0 2.0 1.0 0.0 0.0 -1.0 -1.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 2.0 1.0 -1.0 1.0 0.0 1.0 1.0 -1.0 -2.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 1.0 1.0 0.0 -1.0 1.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 -2.0 0.0 0.0 -1.0 1.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 -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 0.0 440.0 3289956.0 1798524.0 3571712.0 0.0 0.0 14384.0 5319680.0 133040.0 5373952.0 28.0 2759888.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 3287728.0 0.0 0.0 2932.0 2756608.0 0.0 0.0 0.0 0.0


Input: 0.13142571 0.0048102057 0.0031293563 0.0031220957 0.003103944 0.0027445399 0.0029514695 0.0030277069 0.0030313372 0.0030494889 0.0036775384 0.002860711 0.0029006447 0.003790079 0.0026973456 0.002893384 0.0029296875 0.002860711 0.0027917344 0.0029550998 0.0028316681 0.0027808433 0.002838929 0.0028534504 0.0027989952 0.002838929 0.0028970144 0.002733649 0.002922427 0.0027409096 0.0028062558 0.002817147 0.01066232 0.0028098861 0.002976882 0.002671933 0.0028861235 0.0027590613 0.0027300187 0.0027844738 0.0035105424 0.0034778693 0.0027881041 0.002777213 0.0029006447 0.009014144 0.0055907294 0.0034887604 0.0058666356 0.008371573 0.009551435 0.0043527824 0.0042475024 0.0044399104 0.0036085618 0.0050970027 0.0038082306 0.0039461837 0.010589713 0.0028534504 0.0028280378 0.0027917344 0.0028498198 0.0028425592 0.0028498198 0.0043564127 0.003673908 0.0076563954 0.0039643357 0.004421759 0.003347177 0.0032673094 0.0028098861 0.003619453 0.002987773 0.0027445399 0.0028135164 0.003082162 0.003935293 0.002893384 0.0036593867 0.0028207772 0.004022421 0.0036666472 0.0026828242 0.0032455274 0.0030385978 0.0034778693 0.0027917344 0.0028135164 0.0027989952 0.0028098861 0.0053075626 0.0028352987 0.0029805123 0.0034706087 0.002860711 0.0066362685 0.0035758887 0.007881477 0.004182156 0.010909183 0.003368959 0.0068976535 0.006839568 0.007558376 0.0029914035 0.004370934 0.005024396 0.004160374 0.0081791645 0.005873896 0.0034778693 0.002860711 0.007685438 0.008008539 0.007434944 0.004029682 0.0031765508 0.0035432156 0.0038372735 0.003663017 0.0028679715 0.0029042752 0.002965991 0.003082162 0.003125726 0.0027263882 0.002871602 0.0028425592 0.0028679715 0.003020446 0.0028534504 0.0030131855 0.0028861235 0.0028752324 0.002965991 0.0031112046 0.0026537813 0.0033181342 0.0028316681 0.0030313372 0.0028643413 0.0029115358 0.002893384 0.0026864544 0.0027009759 0.002838929 0.0027590613 0.002922427 0.0028534504 0.0026138476 0.0028135164 0.0027917344 0.0029841426 0.0027009759 0.002838929 0.002628369 0.0030857923 0.002944209 0.002922427 0.0028098861 0.0030277069 0.0027953647 0.0025702834 0.0027227579 0.0027409096 0.0027699524 0.0026683027 0.002573914 0.0028970144 0.0027735827 0.002628369 0.0027590613 0.0026537813 0.002944209 0.002711867 0.0028062558 0.0027808433 0.002766322 0.0029115358 0.0028534504 0.0030059246 0.0028135164 0.002944209 0.0028207772 0.002882493 0.0030168158 0.0028316681 0.003147508 0.0029333178 0.002922427 0.0028498198 0.002711867 0.00316566 0.0027989952 0.0028316681 0.0027409096 0.0027590613 0.0027590613 0.0028316681 0.0029914035 0.0027372793 0.0027082365 0.0027227579 0.0027009759 0.002871602 0.0028752324 0.0029550998 0.0028788627 0.0027046062 0.0027300187 0.0029042752 0.002922427 0.0028897538 0.002915166 0.0027844738 0.0025485014 0.0029478392 0.0028534504 0.0025267194 0.0028098861 0.002893384 0.0028135164 0.0029478392 0.0028244075 0.002936948 0.0029514695 0.0028135164 0.0030785317 0.0027445399 0.0029587303 0.003125726 0.0026973456 0.0027735827 0.0030494889 0.0029260572 0.002755431 0.0028026255 0.0029405786 0.0027445399 0.0030349675 0.0030131855 0.002987773 0.002628369 0.0027989952 0.0028098861 0.0029696212 0.0028461895 0.0029260572 0.002650151 0.0030240763 0.0030349675 0.0031003137 0.002871602 0.003684799 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.121170275 9.2919196e-05 0.016470382 0.029659443 0.012079495 0.005870307 0.03867807 0.014517258 1.6397506e-05 1.093167e-05 2.186334e-05 1.6397506e-05 7.834363e-05 3.0973064e-05 2.186334e-05 7.105585e-05 0.0039499765 0.00019312616 0.000165797 7.834363e-05 0.00014393365 0.00023685285 0.0012079495 0.0009164383 2.9151119e-05 1.6397506e-05 2.7329175e-05 5.8302237e-05 0.000116604475 0.00014028976 4.1904736e-05 0.00014028976 0.00048828125 0.00014575559 0.0015686946 0.0020770172 0.000331594 0.0004044718 0.0037167678 0.002184512 0.00014028976 2.186334e-05 1.4575559e-05 2.186334e-05 4.5548622e-05 1.093167e-05 0.0 2.186334e-05 0.003011675 0.00016761894 0.0003571012 0.00044273262 0.00031884038 0.0003206623 0.0010713036 0.00068322936 0.0003206623 2.186334e-05 4.372668e-05 8.016558e-05 0.00014575559 9.2919196e-05 0.00014757754 0.00023685285 0.0014375146 0.00012024837 9.8385026e-05 9.8385026e-05 0.00010749475 0.00022592118 0.0004044718 0.00031155258 0.0002623601 6.923391e-05 8.92753e-05 7.2877796e-05 0.00013118004 5.2836403e-05 0.00010020697 0.0001493995 0.0009692747 0.0001093167 0.00010567281 0.00016944089 0.00019312616 0.0003206623 6.7411966e-05 0.0002350309 0.0005848443 4.737057e-05 7.2877796e-05 5.101446e-05 0.00020952367 4.372668e-05 0.00021681144 0.00033523788 0.0031938695 0.0004536643 0.0009729186 0.0012826492 0.0007688608 0.0008544922 0.0017381355 0.001195196 0.00091279444 0.00047552763 0.00052107626 0.00041904734 0.000497391 0.00038260844 0.00056480296 0.0006923391 0.04414026 0.044132974 0.044162124 0.044380758 0.044546556 0.04422407 0.044604857 0.045426555 0.04471235 0.04442995 0.04346796 0.045446593 0.04388701 0.044358894 0.045271687 0.045493964 1033.0 9.24879 9554.0 0.008687461 0.006175424 0.0055474145 0.0055474145 0.0051287417 0.0069081015 0.0070127696 0.0073267743 0.0069081015 0.005652083 0.006280092 0.0054427464 0.00931547 0.018944945 0.01915428 0.023759682 0.01454888 0.012978857 0.014130207 0.013711534 0.013188194 0.010257483 0.010990161 0.012036843 0.011304166 0.009524806 0.0090014655 0.0053380784 0.00638476 0.00931547 0.0053380784 0.0073267743 0.006698765 0.0075361105 0.006280092 0.009210802 0.007954784 0.006175424 0.0055474145 0.0058614193 0.006698765 0.010257483 0.007850115 0.006280092 0.0059660873 0.006803433 0.0069081015 0.005756751 0.0090014655 0.006803433 0.00638476 0.007850115 0.00638476 0.0076407786 0.006803433 0.006594097 0.0054427464 0.006070756 0.006803433 0.006070756 0.004710069 0.006070756 0.0054427464 0.015281557 0.006803433 0.026376387 0.015490894 0.02208499 0.013816203 0.028679088 0.01454888 0.012664853 0.01454888 0.021038309 0.0059660873 0.009524806 0.012141512 0.019363618 0.023027005 0.024911031 0.016746912 0.0069081015 0.018735608 0.023550345 0.030039774 0.011827507 0.009943479 0.013711534 0.008059451 0.012874189 0.0070127696 0.0054427464 0.0059660873 0.006280092 0.0076407786 0.0059660873 6.386797 0.0 33.0 0.0 7.0 275456.0 417792.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1385885300.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 9.0 0.0 5.0 0.0 5.0 0.0 153088.0 1024.0 4096.0 4.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 20480.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5120.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -153088.0 0.0 95744.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 7.98962 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7.9595666 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.687115 0.0 7.9979916 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 20275.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -136672.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -152808.0 0.0 95308.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 51.0 179968.0 220.0 174940.0 95308.0 319488.0 0.0 0.0 13928.0 424272400.0 0.0 0.0 28.0 160736.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 170864.0 0.0 0.0 884.0 159744.0 0.0 0.0 0.0 0.0