Input: 0.020915546 0.0049818256 0.0040268116 0.0040132743 0.0042717187 0.0037351386 0.0038157487 0.0038692837 0.003921588 0.0037068329 0.0035966863 0.0035874562 0.0040477333 0.0037677519 0.0036329916 0.003781905 0.0034846936 0.0034705407 0.0036237615 0.0038662069 0.003816364 0.0035431513 0.003690834 0.0036157619 0.003703756 0.0036459137 0.003816364 0.0037062175 0.0038692837 0.0037289853 0.0035363825 0.0038219022 0.0039812764 0.0033517792 0.0036022244 0.0035499202 0.00453324 0.0036182234 0.0039191265 0.003810826 0.0034988464 0.0034090064 0.0034680793 0.0035554583 0.0039548166 0.00363053 0.003583764 0.0036360682 0.0036631434 0.0035831486 0.0038982048 0.003977584 0.0040071206 0.0036686815 0.0038102106 0.0037935963 0.0036852958 0.0036969874 0.003744369 0.004079731 0.0036102238 0.0036354528 0.0035154608 0.004358482 0.004192955 0.0037868277 0.0034231592 0.003490847 0.00388036 0.0038440546 0.0037363693 0.0036865266 0.0035714572 0.0038705145 0.003447773 0.0036526825 0.0040028132 0.004162803 0.00397943 0.0035954555 0.0037382154 0.0036846804 0.0035289985 0.00377329 0.003558535 0.0035991475 0.00392528 0.00365699 0.003732062 0.0039154347 0.0036262227 0.0037326773 0.0035653037 0.0038034418 0.0037609832 0.0038982048 0.0038182102 0.0036446832 0.0037012948 0.0038403624 0.004156034 0.0040674247 0.004004044 0.0037603679 0.0039443555 0.003973277 0.0038502081 0.0036779116 0.0041584955 0.0038114414 0.0039228187 0.0039320486 0.0036416063 0.003599763 0.0039332793 0.003946202 0.004250182 0.0040403493 0.0038317477 0.0038385165 0.0035363825 0.0036163772 0.0034213131 0.0036286842 0.0034490037 0.0036779116 0.0037332927 0.0052335015 0.0039954293 0.003655144 0.0036206846 0.0041658795 0.003473002 0.0036576053 0.0037332927 0.0036323762 0.0034077757 0.0044304775 0.003662528 0.005187351 0.0035080768 0.004186186 0.0037886736 0.0037708287 0.004288948 0.0036846804 0.0036631434 0.0040329653 0.0033431645 0.0034613106 0.003916665 0.003662528 0.00365699 0.0040551177 0.003908666 0.003939433 0.0037991344 0.0038723603 0.0036686815 0.0039874297 0.0037585218 0.0036286842 0.003481617 0.0036459137 0.0035825334 0.0035363825 0.0037960578 0.003703141 0.0035493048 0.0035628423 0.0034040837 0.0035745339 0.003583764 0.0034662334 0.0036816038 0.003842824 0.003748061 0.0039031275 0.0039105117 0.0038748218 0.0037277546 0.00365699 0.0037782127 0.0036637587 0.0036754503 0.0037191396 0.0035536122 0.003836055 0.0034040837 0.0036489905 0.0036348377 0.004454476 0.0041997232 0.0038139026 0.0034606953 0.003909281 0.0037677519 0.0035794566 0.0037634445 0.004136343 0.0039560474 0.0038539001 0.0033794697 0.0039425096 0.004189878 0.0038009805 0.003741292 0.004043426 0.0039991215 0.0037388308 0.0036034551 0.0039745076 0.003744369 0.0035363825 0.0035536122 0.003911127 0.004072963 0.0039622006 0.0036219154 0.0039006663 0.0037271392 0.0037683672 0.0034483883 0.004243413 0.003785597 0.0035653037 0.003546228 0.0038975894 0.0037369847 0.0035529968 0.0037615984 0.0039425096 0.0040065055 0.0038822058 0.003522845 0.003914204 0.004125267 0.0037997498 0.0037886736 0.0040938845 0.003524691 0.0037166784 0.0035634576 0.0040009674 0.0037615984 0.0037209857 0.0040206583 0.00412219 0.0038908208 0.004132651 0.003928972 0.0044354005 0.0044323234 0.004594159 0.0052458085 0.01292961 0.0031525851 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00060896616 0.0 4.9259143e-06 3.0786964e-07 3.0786964e-07 0.0 9.543959e-06 6.4652622e-06 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.001679121 2.616892e-05 2.0011526e-05 6.773132e-06 1.5393482e-05 7.696741e-06 2.9863355e-05 1.693283e-05 1.8780049e-05 5.2337837e-06 6.4652622e-06 4.9259143e-06 1.6624961e-05 1.2006916e-05 1.4162003e-05 1.13911765e-05 0.00037283014 3.0786964e-06 1.2314786e-06 1.8472178e-06 0.0 0.0 3.0786964e-07 9.236089e-07 2.7708268e-06 0.0 3.0786964e-07 0.0 1.2314786e-06 0.0 2.7708268e-06 0.00024321701 0.0017563963 1.2314786e-05 4.525684e-05 2.3090222e-05 5.5416534e-05 2.0935135e-05 0.00016163156 0.00010252059 4.9259143e-06 8.3124805e-06 5.849523e-06 4.6180444e-06 1.4777743e-05 3.1094834e-05 4.002305e-06 0.0002709253 0.00042362863 2.4629571e-06 2.2782353e-05 1.0467567e-05 1.600922e-05 8.62035e-06 8.681924e-05 4.8335532e-05 6.157393e-07 3.0786964e-07 1.2314786e-06 3.0786964e-07 1.5393482e-06 4.310175e-06 2.4629571e-06 6.157393e-07 0.0019269561 1.4777743e-05 0.00014254365 2.3090222e-05 6.526837e-05 4.6180445e-05 0.0004633438 0.00024598785 2.8631877e-05 6.157393e-06 4.6180444e-06 9.236089e-06 8.712711e-05 6.4652622e-06 2.1243006e-05 6.0958188e-05 0.00038822362 1.5393482e-05 6.773132e-06 1.29305245e-05 7.696741e-06 1.0159698e-05 7.696741e-06 1.0775438e-05 1.4777743e-05 7.696741e-06 6.773132e-06 8.3124805e-06 4.6180444e-06 6.773132e-06 1.1083307e-05 0.00011083307 0.0023284182 0.000103444196 0.00013146034 0.00011822194 0.00018379817 9.697894e-05 0.00046703825 0.00023244158 9.882615e-05 7.943037e-05 6.034245e-05 3.2634183e-05 0.000115143244 6.834706e-05 4.9259143e-05 0.00024783507 0.00091837515 7.019428e-05 0.00010867798 0.00011083307 7.173363e-05 2.0627265e-05 0.00022228189 0.00010190485 4.187027e-05 4.6180445e-05 8.3124805e-06 7.3888714e-06 4.7104055e-05 3.201844e-05 9.236089e-06 7.481232e-05 0.0005751005 3.3249922e-05 2.7708267e-05 2.2782353e-05 8.158546e-05 4.187027e-05 0.00015455057 8.497202e-05 2.2782353e-05 2.647679e-05 2.1243006e-05 2.524531e-05 3.1710573e-05 4.9259143e-05 2.4321702e-05 3.8175836e-05 0.00041439253 0.000101289115 5.049062e-05 5.1722098e-05 5.5108667e-05 3.509714e-05 4.340962e-05 9.974976e-05 6.6499844e-05 4.340962e-05 3.540501e-05 5.818736e-05 0.000108985856 4.340962e-05 0.00015732138 0.0005270728 0.0057140607 0.0010655369 0.0012053096 0.0007336534 0.0018272063 0.0017342297 0.00055816764 0.0010458332 0.0035408088 0.00090113445 0.00032418672 0.0002727725 0.0017671718 0.0003820662 0.0010646132 0.0018228962 0.0008995951 0.0001764093 0.00024567998 0.00014131216 0.00029586273 0.0003324992 0.00013546264 0.00026322855 0.00051691313 0.000108985856 9.882615e-05 0.000106215026 0.0002635364 0.00011729833 0.0002382911 0.00047350352 0.058146417 0.057336103 0.057115052 0.05949981 0.057676297 0.057169236 0.059929598 0.059134677 0.057546686 0.05973533 0.05725267 0.059686996 0.05910543 0.0600746 0.05934372 0.0701755 7175.0 5.911777 42417.0 0.012895773 0.008840795 0.011080463 0.009500908 0.0113633685 0.010373199 0.010373199 0.009689512 0.009147276 0.009005823 0.009571634 0.008722918 0.010703255 0.010561803 0.00990169 0.008416437 0.010090294 0.00959521 0.010844708 0.010161021 0.0112219155 0.009713086 0.010208171 0.009524483 0.009995992 0.009807388 0.010184595 0.010962586 0.009783813 0.008887946 0.00907655 0.008958672 0.009760237 0.01042035 0.009642361 0.009312304 0.009642361 0.01042035 0.009972417 0.009571634 0.009571634 0.010891859 0.009218003 0.010797557 0.010962586 0.011292642 0.010467501 0.008722918 0.010726831 0.010773982 0.010137445 0.011646274 0.010467501 0.009100125 0.010467501 0.010891859 0.009972417 0.010349624 0.009995992 0.01093901 0.009713086 0.009713086 0.009194427 0.008722918 0.009830964 0.012164934 0.010302473 0.012565716 0.01223566 0.017045053 0.012377113 0.010915435 0.009878115 0.013815216 0.009642361 0.01067968 0.013343707 0.01063253 0.014286725 0.01353231 0.010137445 0.009736662 0.012848622 0.012424264 0.014404602 0.010255322 0.010208171 0.010208171 0.009948841 0.010066719 0.008958672 0.008416437 0.008793644 0.008935097 0.008982248 0.009783813 6.5720515 1.0 0.0 0.0 19.0 1625107.0 86016.0 0.0 0.0 92.0 0.0 1.0 0.0 0.0 0.0 936302500.0 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 45056.0 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 8192.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -45056.0 0.0 16384.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4.9405913 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.4573612 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.5169916 0.0 4.7336907 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5718.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -8924.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -42674.0 0.0 14488.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 1.0 0.0 0.0 1.0 2.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 120.0 52688.0 14488.0 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 0.0 388.0 49152.0 0.0 0.0 0.0 0.0


Input: 0.04001657 0.0031866282 0.002197905 0.002151141 0.0032267116 0.0019039602 0.001282668 0.0018505157 0.0025118913 0.0073152157 0.0018638768 0.0014095986 0.0038413233 0.0050772275 0.0022513494 0.003994976 0.0033336005 0.0013027097 0.0012626263 0.0010020843 0.0027791138 0.0013561541 0.0020642937 0.0017903907 0.0019908075 0.0038747261 0.0023315162 0.0019373631 0.00297285 0.001830474 0.0027523916 0.0027857944 0.0028860029 0.003707712 0.0016233766 0.0033135589 0.0017569879 0.0028258779 0.0028325585 0.002946128 0.00392149 0.0021711828 0.002244669 0.0016968629 0.0045761853 0.0032267116 0.0018037518 0.0026054194 0.002030891 0.0028860029 0.0018171129 0.0015298488 0.0017770296 0.001924002 0.0020976965 0.0018237935 0.0026455026 0.0037611565 0.0027390304 0.0038346427 0.005177436 0.0062463256 0.005250922 0.0025519747 0.0034872536 0.005377853 0.0037811983 0.0029995725 0.0024985303 0.0053644916 0.003660948 0.0024317247 0.017269254 0.19570039 0.0035072952 0.003587462 0.0020242103 0.0047365185 0.0034070867 0.001830474 0.0038413233 0.0029060445 0.00237828 0.0022379884 0.0016768211 0.00213778 0.0021578216 0.00166346 0.008704772 0.004729838 0.0019373631 0.0018037518 0.004429213 0.0021043771 0.0029995725 0.0039348514 0.00118914 0.002091016 0.002244669 0.0015298488 0.0019440436 0.0020175297 0.001342793 0.0016233766 0.00213778 0.0057118805 0.0015632516 0.0015899738 0.0023916413 0.0022513494 0.0018037518 0.001282668 0.0028191973 0.0019106407 0.00451606 0.0022246272 0.0027256694 0.0026054194 0.0021177381 0.0022179466 0.0019707659 0.0026521832 0.003988296 0.0015766127 0.0021845438 0.002304794 0.0018037518 0.0014095986 0.0033135589 0.0024384053 0.002091016 0.0028459195 0.0023582384 0.004195393 0.0018972796 0.001984127 0.0026321416 0.007495591 0.0039148093 0.0041419487 0.0024517663 0.0027657528 0.002932767 0.0023448775 0.0029260863 0.0024450857 0.002151141 0.0018839185 0.002030891 0.002364919 0.0019440436 0.0017169045 0.0020375715 0.0028325585 0.0021244187 0.002151141 0.0020375715 0.0023849607 0.0020976965 0.001984127 0.0022914328 0.0069210622 0.0026989472 0.0019640853 0.004963658 0.00380124 0.0036943508 0.003600823 0.0015231682 0.0034872536 0.0019908075 0.0023248356 0.0020242103 0.002364919 0.0019707659 0.0016701405 0.0033068783 0.0074755494 0.0022179466 0.0028459195 0.0025452941 0.0036275452 0.057913795 0.0030262948 0.0029795307 0.0045895465 0.0025586553 0.0031198226 0.0031265032 0.0028926835 0.00451606 0.004789963 0.005017102 0.002932767 0.01033483 0.0020041687 0.0039615734 0.0014830849 0.0018037518 0.002805836 0.0024985303 0.0038680455 0.004716477 0.0012759874 0.004836727 0.0017436268 0.0019373631 0.0014630432 0.0014363208 0.0014697236 0.0012091817 0.0016768211 0.0015365293 0.0013294319 0.0016434183 0.0010956122 0.0019440436 0.0020375715 0.0012626263 0.0019306825 0.0024651275 0.0015966544 0.0010288066 0.0018237935 0.0017569879 0.001830474 0.0023114746 0.0018638768 0.001556571 0.0036342258 0.0018171129 0.0019173214 0.0032534339 0.002899364 0.0018171129 0.002030891 0.0021444606 0.0018638768 0.0014162792 0.0016701405 0.0032734754 0.0032868367 0.00927262 0.0018571963 0.0022179466 0.0022246272 0.002364919 0.0027056278 0.002505211 0.0032066698 0.0015966544 0.0013494736 0.0025920582 0.002425044 0.002077655 0.0066204374 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0059132543 0.00041756465 0.000508486 0.0013436154 0.015668778 0.0006667565 0.0007711476 0.00027949893 0.00015827047 0.00016837285 0.00020878232 0.00022898708 0.00051858835 0.00016163793 0.0003367457 0.00023572198 0.0054754848 0.00052195584 0.004667295 0.0027007004 0.01725485 0.00070043106 0.0015928071 0.0008688039 0.00011449354 3.0307112e-05 4.377694e-05 6.734914e-05 0.00026266163 7.4084055e-05 2.6939655e-05 8.0818965e-05 0.003973599 0.00026939655 0.001215652 0.0011112607 0.017177397 0.005488955 0.0014210668 0.0005051185 0.00031654094 0.00027613147 0.0036637932 0.0047649513 0.00019867996 0.00024582434 0.00030643857 0.00044450432 0.0040914603 0.0006162446 0.003795124 0.0020238415 0.013594423 0.003081223 0.0016096444 0.000663389 0.0002491918 0.00014816811 0.0014682112 0.0017746498 0.00046134158 0.0005758351 0.00013133082 0.00019867996 0.01269868 0.0017409752 0.00569437 0.0031721443 0.029859241 0.0023403824 0.0025693695 0.0034314385 0.0018857758 0.0010708513 0.0015187231 0.004532597 0.0012796336 0.001555765 0.0010472791 0.0014648438 0.004903017 0.0013234105 0.0020474137 0.004438308 0.038968213 0.00859375 0.0019093481 0.0048390357 0.0037244074 0.0030677533 0.003559402 0.015453259 0.0032563307 0.0018184268 0.0039197197 0.008523033 0.008556708 0.0034886852 0.004404634 0.005458648 0.054966997 0.005300377 0.0024110992 0.0039096177 0.010550243 0.010253906 0.009816137 0.037782867 0.007711476 0.004179014 0.006815733 0.010600754 0.008307517 0.0066439924 0.005394666 0.0075431033 0.038129713 0.006125404 0.0037244074 0.0068426724 0.00893723 0.0060109105 0.008900189 0.022124192 0.012398976 0.004024111 0.005189251 0.008324353 0.014082705 0.009297549 0.0052734376 0.00819639 0.025892377 0.005758351 0.0039837016 0.006549704 0.012873787 0.0030980604 0.007290544 0.013490032 0.014783136 0.0019632273 0.0041554417 0.008139144 0.011284348 0.011163119 0.011297818 0.011843346 0.012122845 0.011856816 0.012742457 0.011297818 0.01132139 0.011169855 0.01110924 0.012106008 0.012126212 0.011004849 0.011967942 0.011792834 2323.0 11.987085 27846.0 0.0072900956 0.005602241 0.0015082957 0.00179559 0.0027652087 0.0062127416 0.0071105366 0.008116067 0.00836745 0.0017596782 0.005063564 0.0022983553 0.013969691 0.0062486534 0.0028011205 0.0025856497 0.003267974 0.003088415 0.00219062 0.00219062 0.0014723839 0.0011491777 0.003447533 0.0019392372 0.0021187963 0.0049917405 0.0057818 0.009839834 0.007002801 0.012425483 0.010342599 0.0034834447 0.0060690944 0.006320477 0.0030165913 0.0051353876 0.00438124 0.005063564 0.004201681 0.0036989155 0.041190837 0.54884005 0.0053867702 0.005997271 0.0026933851 0.008870215 0.0047762697 0.0013287367 0.006715507 0.0048121815 0.0035193565 0.0028370323 0.0021187963 0.0026215615 0.0031243267 0.0020469727 0.016088488 0.011384041 0.0026933851 0.002549738 0.0072900956 0.0031243267 0.005638153 0.008151979 0.000897795 0.0037348273 0.0017596782 0.0013287367 0.002549738 0.0031602385 0.0014005603 0.0020828845 0.0022265317 0.018997343 0.0007900596 0.00219062 0.003267974 0.00219062 0.0022265317 0.001616031 0.0024420025 0.0024060907 0.0039502983 0.0042735045 0.0031961503 0.002729297 0.00359118 0.0026574733 0.0024420025 0.0042735045 0.0049558287 0.0017596782 0.0027652087 0.0038066509 0.0021547081 0.0022624435 3.7477179 0.0 0.0 0.0 3.0 149688.0 159744.0 0.0 0.0 42.0 1.0 1.0 0.0 0.0 0.0 1367307600.0 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 -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 2.0 55.0 1.0 0.0 4.0 0.0 7680.0 1024.0 4096.0 5.0 0.0 0.0 1.0 2.0 0.0 0.0 0.0 0.0 0.0 -2348.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -134288.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7912.0 0.0 2056.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -10.6895075 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.6664767 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.3862042 0.0 4.1040406 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2348.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -134288.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7912.0 0.0 2056.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 -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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2004.0 147456.0 2056.0 151552.0 0.0 0.0 0.0 0.0 344.0 155648.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 72.0 146448.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0


Input: 0.016858442 0.0045156544 0.004103113 0.0039470163 0.004348408 0.0039247167 0.004047364 0.003969316 0.0044487556 0.0037240211 0.0035567747 0.0040808134 0.003969316 0.004047364 0.0039024174 0.004337258 0.004292659 0.0037463205 0.0039916155 0.0040696636 0.0041811615 0.0043595578 0.0038578182 0.0037797699 0.004526804 0.0039247167 0.0033226295 0.003969316 0.0036682722 0.0036682722 0.003534475 0.0035121755 0.0038578182 0.0030884845 0.0034006778 0.0036905718 0.00471635 0.0040027653 0.003913567 0.0033783785 0.0036682722 0.0037909197 0.0039358665 0.0037240211 0.003534475 0.003489876 0.0035902238 0.0038355186 0.003868968 0.004013915 0.004103113 0.003634823 0.00424806 0.0038355186 0.0035233253 0.0036571224 0.00376862 0.0038801178 0.0033895283 0.0037463205 0.0041254126 0.0035902238 0.003634823 0.00376862 0.004749799 0.004381857 0.0037909197 0.004381857 0.0037797699 0.00423691 0.0034006778 0.0035567747 0.0039024174 0.0036236732 0.0038466684 0.003679422 0.0033783785 0.004058514 0.0037017216 0.0038466684 0.004203461 0.0041142628 0.0037797699 0.003969316 0.004203461 0.003958166 0.0038466684 0.004482205 0.0038243688 0.003445277 0.0040808134 0.0040808134 0.004091963 0.0038243688 0.0038466684 0.0039024174 0.003545625 0.0035233253 0.0036013736 0.0037909197 0.003868968 0.0038801178 0.0036682722 0.003913567 0.0040808134 0.0035233253 0.0045045046 0.0038578182 0.0035567747 0.0038912676 0.0037128713 0.003634823 0.0038912676 0.0038801178 0.00376862 0.003868968 0.0040696636 0.004281509 0.003969316 0.0037909197 0.0043930067 0.0037797699 0.0039916155 0.0039358665 0.003489876 0.0037128713 0.0041365623 0.0037017216 0.0038578182 0.0039247167 0.003913567 0.0045937025 0.004292659 0.004381857 0.003868968 0.003913567 0.0040027653 0.0049839444 0.0039470163 0.0043930067 0.0040696636 0.004303809 0.003958166 0.0034229774 0.0039804657 0.0034341272 0.0036236732 0.0037797699 0.0034118276 0.0038020695 0.0036236732 0.004158862 0.004013915 0.003679422 0.0036236732 0.003545625 0.004058514 0.0036125234 0.0036682722 0.004013915 0.0038355186 0.004047364 0.0035902238 0.0036013736 0.0038132193 0.004036214 0.0034341272 0.0038243688 0.0037463205 0.0038355186 0.003344929 0.004025065 0.0035902238 0.0039470163 0.004047364 0.0037574703 0.0038355186 0.0038355186 0.0039470163 0.0036236732 0.0039916155 0.003679422 0.0037574703 0.0037017216 0.0037017216 0.0038355186 0.0037017216 0.0039247167 0.0036905718 0.003868968 0.0036571224 0.003969316 0.0044599054 0.0036236732 0.0040696636 0.0036459728 0.0041254126 0.0038355186 0.0038020695 0.0039804657 0.0038912676 0.0039804657 0.0033895283 0.0036013736 0.0037351707 0.0038020695 0.004047364 0.0036125234 0.0039470163 0.00422576 0.0033783785 0.0038132193 0.0037909197 0.003579074 0.0037128713 0.003913567 0.0038132193 0.0036125234 0.003579074 0.003913567 0.0039916155 0.0038355186 0.0036571224 0.0037128713 0.003634823 0.0033560789 0.0034229774 0.0038243688 0.0033114797 0.0037017216 0.0036236732 0.0038466684 0.0041923113 0.0037128713 0.003634823 0.004158862 0.0036459728 0.0034118276 0.0036905718 0.003489876 0.003958166 0.0037797699 0.0037128713 0.0037463205 0.003969316 0.0038912676 0.0035679243 0.0036459728 0.0035902238 0.0041811615 0.0035567747 0.003634823 0.0039358665 0.0038243688 0.0037909197 0.0056417803 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0059104743 0.00048260356 0.00048260356 0.00018736374 0.00059047964 0.0006075127 0.0004087936 0.00054505817 0.00075513264 5.677689e-05 3.4066135e-05 0.0003520167 0.00028388444 0.00021007449 0.00021007449 0.000510992 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.002975109 0.000510992 0.0006075127 0.00028388444 0.00090275257 0.0009708848 0.00027820675 0.00042014898 0.0016351744 9.084302e-05 6.245458e-05 0.00027820675 0.00059615733 0.0003974382 0.00042014898 0.0011979924 0.0025833484 0.0005166697 0.00045421513 0.0003633721 0.00091410795 0.0010333394 0.00022710756 0.00057344657 0.0017827944 9.6520715e-05 7.948765e-05 0.00019304143 0.0007948764 0.00034066133 0.0005507358 0.0011241824 0.06272711 0.060961347 0.058338255 0.06026299 0.060223248 0.061233874 0.059780385 0.060989734 0.062091205 0.06012105 0.06062636 0.06004724 0.06021757 0.05972929 0.057776164 0.059990462 420.0 5.633333 2366.0 0.010143703 0.008030431 0.00887574 0.009721048 0.010143703 0.0135249365 0.011411665 0.0067624683 0.010989011 0.0092983935 0.0076077767 0.008030431 0.0071851225 0.0071851225 0.010566357 0.011411665 0.010143703 0.011411665 0.010143703 0.010143703 0.0092983935 0.00887574 0.009721048 0.008453085 0.011411665 0.009721048 0.0076077767 0.011411665 0.0135249365 0.0092983935 0.0092983935 0.0071851225 0.010566357 0.012256973 0.012256973 0.008453085 0.008030431 0.0092983935 0.009721048 0.01183432 0.009721048 0.0076077767 0.008453085 0.00887574 0.010143703 0.009721048 0.011411665 0.010566357 0.013947591 0.013102283 0.00887574 0.01690617 0.016483517 0.011411665 0.010566357 0.015215553 0.01183432 0.01183432 0.011411665 0.009721048 0.010143703 0.012679628 0.008030431 0.008030431 0.013947591 0.012679628 0.00887574 0.0092983935 0.010143703 0.010989011 0.00887574 0.0071851225 0.012679628 0.009721048 0.013102283 0.00887574 0.010143703 0.013102283 0.010989011 0.010143703 0.0076077767 0.0092983935 0.016060863 0.01183432 0.012256973 0.010989011 0.0076077767 0.015215553 0.016483517 0.009721048 0.01183432 0.0092983935 0.00887574 0.008453085 0.008030431 0.008030431 6.552464 0.0 0.0 0.0 2.0 89688.0 98304.0 1.0 0.0 0.0 1.0 1.0 1.0 0.0 0.0 1527028200.0 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 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 14.0 11.0 5.0 1.0 5.0 1.0 48128.0 1024.0 4096.0 5.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 25088.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2560.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -48128.0 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 -7.9492936 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 7.993265 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7.921864 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7.9798574 0.0 7.8037558 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3960.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 24652.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6044.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -47879.0 0.0 920.0 0.0 0.0 0.0 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 0.0 120.0 75740.0 920.0 90112.0 0.0 0.0 7768.0 81920.0 3960.0 94208.0 56.0 72832.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 72888.0 0.0 0.0 392.0 53248.0 0.0 0.0 0.0 0.0


Input: 0.11296894 0.008387969 0.0037136558 0.002123163 0.033824284 0.00101271 0.0012793344 0.0009930457 0.015482144 0.0007038653 0.0010983074 0.0006269433 0.005973312 0.0007229512 0.000397334 0.018353129 0.0039033582 0.00069518987 0.00073162664 0.0010086616 0.015347965 0.019359477 0.0014476376 0.0014383837 0.004150897 0.00081895915 0.002284526 0.00056968554 0.004521626 0.0024250676 0.0002833969 0.00034759493 0.0039461567 0.00023250112 0.0003805615 0.0002845536 0.049593296 0.0007715335 0.001275286 0.00070791383 0.002342362 0.0008935677 0.00024406833 0.0002990126 0.00087332504 0.000690563 0.0005731557 0.00032735232 0.001305939 0.0046263095 0.0004939203 0.00032099034 0.002611878 0.00037535626 0.0004013825 0.00049565535 0.0025025678 0.0010017212 0.00045285665 0.0005731557 0.0022949365 0.00034412477 0.00025390048 0.000237128 0.0026003108 0.0011590354 0.002271802 0.0019502332 0.013960477 0.018379156 0.00146441 0.0011081396 0.002943279 0.00065586134 0.00046153206 0.00057026395 0.0028333904 0.0014730854 0.0009589225 0.00042567367 0.001983778 0.0010717029 0.000809127 0.0030178875 0.004681254 0.0054232907 0.00090513495 0.0010098183 0.006102865 0.0023267462 0.01880078 0.001212823 0.0031734665 0.0038021451 0.0010358444 0.0026477366 0.00077326864 0.002400198 0.0007061787 0.0015962763 0.0018663709 0.00488715 0.0012949503 0.0011000426 0.0029085772 0.0028258718 0.000237128 0.00057778263 0.0025835384 0.0012735509 0.0025592472 0.0022584996 0.0015291864 0.0003215687 0.0027356474 0.0023955712 0.0080872215 0.0038894776 0.001192002 0.00062578655 0.0033718445 0.00057142065 0.00034238969 0.00023076603 0.0021665401 0.001562153 0.0003747779 0.0003643674 0.0024499372 0.0007397237 0.00085308246 0.007968658 0.013531333 0.02123163 0.0008767952 0.0012509947 0.0032694745 0.05945782 0.00020069125 0.03759809 0.001333122 0.018900836 0.00037362118 0.00031231492 0.008670787 0.00020184797 0.00024696015 0.00016945976 0.0016714633 0.01200446 0.00030884476 0.00021688537 0.0033018629 0.00020820995 0.00017119484 0.00018102699 0.0009172805 0.0013504729 0.00026141916 0.00024233325 0.0009363664 0.001152095 0.0001792919 0.00035684873 0.0006980817 0.0003499084 0.00022903095 0.00023250112 0.0032787283 0.00017235157 0.00020126962 0.00016888141 0.00077558204 0.00047078583 0.00042046842 0.00044996483 0.0013446893 0.00017813517 0.00024233325 0.00026315424 0.001345846 0.00053093536 0.0017732547 0.000432614 0.008298902 0.0010844268 0.001110453 0.0007483991 0.0015586828 0.000913232 0.0009537172 0.00067668234 0.0071340827 0.0006252082 0.00739261 0.0027923267 0.001840923 0.00054134586 0.0014673017 0.006428482 0.003997631 0.00095660903 0.00024406833 0.00020647487 0.0055140937 0.00019664274 0.00018796732 0.00021804209 0.0013099876 0.00025737064 0.006151447 0.0002828185 0.00048350976 0.00023076603 0.00025679226 0.00021457192 0.0057957554 0.00041989007 0.00019953454 0.001124912 0.00077442534 0.00033255757 0.00022903095 0.00023481455 0.0009161238 0.00024522506 0.00021399355 0.00034470315 0.0008415152 0.001563888 0.0004239386 0.00030190442 0.009131163 0.007175146 0.00026315424 0.0011653973 0.00575874 0.00031752017 0.0002683595 0.00045632682 0.008748867 0.0003261956 0.00042104677 0.0005806744 0.002164805 0.00043145727 0.0013822827 0.00069634663 0.0036986184 0.0008062352 0.0013770774 0.0018866134 0.004626888 0.005224913 0.009068122 0.119579025 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0009542758 8.1042535e-06 0.0 0.0 0.0 0.0 0.0 4.486283e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00017829357 0.00047757206 8.393691e-06 9.840879e-06 4.0521268e-06 2.0260634e-06 1.1866942e-05 8.6831284e-07 1.7945133e-05 1.4471881e-06 2.8943762e-07 8.6831284e-07 5.7887524e-07 1.7366257e-06 0.0 1.7366257e-06 5.354596e-05 0.00047930868 7.2359403e-06 1.1577505e-05 1.707682e-05 1.0130317e-05 2.431276e-05 3.1838138e-06 6.657065e-06 3.4732514e-06 2.8943762e-07 2.0260634e-06 1.1577505e-06 3.4732514e-06 1.7366257e-06 4.0521268e-06 1.707682e-05 0.0007933485 0.00014327162 1.1577505e-05 5.7887523e-06 1.5340194e-05 9.23306e-05 0.00033748426 0.00018089851 1.1577505e-05 1.331413e-05 2.315501e-06 1.1866942e-05 0.00010448698 4.0521268e-06 3.4732514e-06 4.717833e-05 0.0037262198 0.00019334433 0.00032677507 6.338684e-05 0.00017250482 0.0002431276 0.0018353239 0.00091751723 1.823457e-05 4.631002e-06 1.3893005e-05 9.030454e-05 8.104253e-05 3.4732514e-06 3.762689e-06 1.2445817e-05 0.007594264 0.0004555748 0.0016509522 0.00042026342 0.00084776274 0.0013143362 0.006480219 0.0030243336 4.0521267e-05 0.00070304394 3.5890265e-05 3.5600828e-05 7.699041e-05 2.9233199e-05 4.602058e-05 0.00036295477 0.0039864243 0.00024515367 0.0015204158 0.0007840865 0.0014254802 0.0014642648 0.0064067016 0.0032709343 4.6888894e-05 0.000113459544 4.254733e-05 0.00010911798 2.8943761e-05 1.1866942e-05 4.746777e-05 5.7598085e-05 0.0064588003 0.0005270659 0.0008761276 0.0017345996 0.002626357 0.002859933 0.0058281156 0.0033470565 0.0020544282 0.00017974076 0.0001962387 0.00019652814 0.00022518246 0.00012561593 0.000269177 0.00035513996 0.006667774 0.0007013073 0.001185247 0.00046454737 0.0008851002 0.0017814885 0.0010428437 0.0006758368 0.0035215875 0.0008966777 0.00076585193 0.00030825107 0.00049030734 0.00035803433 0.0003039095 0.0024764282 0.04828572 0.016519941 0.015277096 0.003542427 0.0088353725 0.011617158 0.0025592074 0.0036660167 0.048317846 0.0077210376 0.0022558768 0.004840844 0.009338126 0.0048556053 0.006564445 0.060100853 0.11545203 0.037520956 0.038606927 0.00995347 0.03318547 0.033491407 0.0047464874 0.012112964 0.10383285 0.017011985 0.0057236287 0.01389069 0.02527485 0.011373741 0.01836742 0.090290934 0.012298494 0.0030414104 0.0039768727 0.0012998643 0.005245767 0.005145043 0.0005933471 0.0024966889 0.012641188 0.0035013268 0.0010301084 0.0019843844 0.0041508246 0.0015508067 0.0037815024 0.0072090225 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 3521.0 21.843225 76910.0 0.024665194 0.000247042 0.0013002211 0.0009101547 0.0008581459 0.00032505527 0.00018203094 0.0008711481 0.0039396696 0.0036796255 0.0006241061 0.00016902873 0.0009231569 0.009504615 0.0059030037 0.0024964244 0.004121701 0.017617995 0.0046677934 0.0020673515 0.002834482 0.0029775063 0.0036146145 0.0059550125 0.0030555194 0.002782473 0.0040956964 0.0007671304 0.0010921856 0.0021453646 0.00094916136 0.00019503315 0.00040306852 0.0074112597 0.0044857627 0.009478611 0.007788324 0.019919386 0.00482382 0.0023794046 0.0013782342 0.00929658 0.0001300221 0.0058379923 0.00629307 0.005551944 0.015927708 0.003965674 0.008672474 0.015784683 0.0063190744 0.013379275 0.0063970876 0.0022493824 0.0016642829 0.0039396696 0.0005200884 0.000741126 0.009530621 0.00247042 0.0021323625 0.0023534 0.0020933559 0.04029385 6.501105e-05 0.044272527 0.009699649 0.029424002 0.024613185 0.081068784 0.009153556 0.019438304 0.010219737 0.052971005 0.0012872189 0.007606293 0.039279677 0.02094656 0.04736705 0.042426214 0.013769341 0.0019633337 0.048576258 0.04159407 0.064855024 0.016980886 0.012248082 0.0052658953 0.007151216 0.0065401117 0.0008711481 0.0002730464 0.00058509945 0.0002600442 2.600442e-05 5.200884e-05 5.4604416 5.0 1.0 0.0 1.0 1729024.0 1769472.0 0.0 0.0 896.0 0.0 1.0 0.0 0.0 0.0 1482978300.0 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 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 1584640.0 1024.0 4096.0 6.0 1.0 0.0 1.0 4.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 82432.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1536.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1584640.0 -41472.0 17920.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.3998885 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.689859 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.836683 -5.7650743 3.8445506 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 82160.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 22576.0 0.0 0.0 -1224.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1584312.0 -41284.0 17464.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 1.0 0.0 1.0 1.0 0.0 0.0 -1.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 2.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 1.0 -1.0 0.0 0.0 1.0 0.0 1.0 0.0 1.0 0.0 1.0 0.0 -1.0 1.0 -1.0 1.0 1.0 -1.0 -3.0 0.0 1.0 -1.0 0.0 0.0 1.0 -2.0 0.0 0.0 0.0 0.0 1.0 1.0 -1.0 1.0 1.0 0.0 1.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 2.0 -1.0 -1.0 0.0 0.0 -1.0 0.0 -1.0 -1.0 -1.0 3.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 2.0 1.0 1.0 1.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 2.0 0.0 0.0 0.0 -1.0 -1.0 0.0 -2.0 0.0 0.0 -2.0 1.0 -1.0 0.0 0.0 -1.0 1.0 -1.0 0.0 -3.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 -2.0 -1.0 0.0 1.0 0.0 2.0 -1.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 2.0 0.0 0.0 0.0 -1.0 1.0 -1.0 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 -2.0 -1.0 0.0 0.0 1.0 -1.0 1.0 -1.0 -1.0 0.0 0.0 2.0 1.0 1.0 0.0 1.0 0.0 0.0 -2.0 3.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 1.0 1.0 0.0 -1.0 -2.0 0.0 1.0 0.0 1.0 2.0 0.0 0.0 -1.0 -1.0 0.0 0.0 -1.0 2.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 -2.0 1.0 0.0 1.0 1.0 -2.0 1.0 0.0 0.0 0.0 0.0 -1.0 -2.0 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 1.0 -1.0 -1.0 0.0 0.0 -1.0 1.0 2.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 -1.0 0.0 -1.0 -1.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 -2.0 -1.0 0.0 0.0 0.0 2.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 -1.0 -2.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 2.0 0.0 0.0 2.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 2.0 0.0 2.0 0.0 1.0 -1.0 -1.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 -1.0 0.0 2.0 0.0 -2.0 1.0 -1.0 -1.0 1.0 -1.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 1.0 -1.0 1.0 2.0 0.0 0.0 1.0 4.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 1.0 0.0 0.0 0.0 -1.0 0.0 2.0 0.0 0.0 1.0 2.0 1.0 -1.0 -1.0 -1.0 2.0 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 -2.0 1.0 -1.0 0.0 -2.0 -1.0 0.0 1.0 1.0 0.0 1.0 1.0 0.0 0.0 -1.0 0.0 -3.0 -1.0 -1.0 0.0 1.0 0.0 2.0 0.0 -2.0 -1.0 1.0 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 -2.0 0.0 0.0 0.0 0.0 0.0 -1.0 -2.0 0.0 0.0 0.0 1.0 0.0 1.0 1.0 0.0 0.0 1.0 -1.0 1.0 0.0 -1.0 -1.0 0.0 1.0 0.0 -1.0 1.0 1.0 1.0 0.0 -1.0 0.0 -1.0 0.0 -2.0 0.0 0.0 -1.0 1.0 -1.0 1.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 -2.0 0.0 2.0 -1.0 -1.0 0.0 0.0 1.0 -2.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 -1.0 1.0 1.0 0.0 -1.0 1.0 2.0 1.0 0.0 1.0 0.0 0.0 -1.0 -1.0 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 0.0 0.0 -2.0 0.0 0.0 -1.0 0.0 -2.0 1.0 -1.0 -1.0 0.0 1.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 -1.0 1.0 1.0 1.0 0.0 1.0 1.0 -1.0 1.0 -1.0 -1.0 0.0 0.0 -1.0 1.0 0.0 0.0 1.0 1.0 2.0 0.0 0.0 2.0 1.0 -2.0 1.0 -1.0 -1.0 0.0 0.0 -2.0 0.0 -1.0 1.0 0.0 0.0 1.0 0.0 -1.0 -1.0 1.0 0.0 0.0 1.0 0.0 1.0 0.0 1.0 2.0 1.0 1.0 -2.0 -2.0 1.0 -1.0 -3.0 0.0 0.0 0.0 1.0 2.0 0.0 -1.0 0.0 0.0 1.0 0.0 -1.0 -1.0 1.0 2.0 1.0 1.0 -1.0 -1.0 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 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 1.0 2.0 1.0 -1.0 0.0 -1.0 1.0 -1.0 -1.0 2.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 -2.0 1.0 -1.0 0.0 0.0 -1.0 0.0 1.0 -1.0 2.0 -2.0 -2.0 1.0 0.0 -1.0 0.0 -1.0 1.0 0.0 0.0 0.0 2.0 1.0 -3.0 0.0 1.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 1.0 1.0 1.0 1.0 0.0 2.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 -1.0 0.0 -2.0 2.0 2.0 -1.0 0.0 1.0 -1.0 0.0 1.0 0.0 -2.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -2.0 1.0 0.0 0.0 2.0 1.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 -1.0 0.0 -1.0 1.0 -1.0 1.0 -1.0 0.0 0.0 1.0 1.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 4.0 1.0 0.0 0.0 1.0 3.0 0.0 0.0 -1.0 0.0 0.0 -1.0 -1.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 -1.0 0.0 0.0 -1.0 1.0 -2.0 1.0 1.0 0.0 0.0 1.0 -1.0 -2.0 0.0 -2.0 0.0 0.0 -1.0 1.0 -1.0 -1.0 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 1.0 1.0 -1.0 2.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 -1.0 1.0 1.0 0.0 0.0 1.0 -1.0 1.0 -1.0 -1.0 -2.0 2.0 0.0 1.0 0.0 0.0 0.0 -1.0 1.0 0.0 1.0 0.0 0.0 -1.0 1.0 -1.0 0.0 0.0 1.0 1.0 1.0 1.0 -1.0 -1.0 0.0 1.0 -1.0 0.0 0.0 0.0 1.0 -1.0 1.0 -2.0 0.0 -1.0 0.0 2.0 0.0 1.0 0.0 -1.0 -1.0 0.0 2.0 -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 -1.0 1.0 -1.0 0.0 1.0 -1.0 1.0 2.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 1.0 0.0 0.0 2.0 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 0.0 2.0 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 41284.0 1703936.0 17464.0 1748992.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0


Input: 0.4822774 0.0051386612 0.0050263046 0.0023396607 0.003892825 0.0017183948 0.0020785967 0.0015729921 0.0051948396 0.0009814678 0.0010277323 0.0006939671 0.003816819 0.001473854 0.001130175 0.0094313435 0.0039919633 0.0014143711 0.001992677 0.0010706921 0.002035637 0.0036053243 0.0004890816 0.00041638027 0.0011731349 0.00045934014 0.00052212767 0.0006510072 0.0011169566 0.0009781632 0.00051882304 0.0007303178 0.0021876488 0.00065431185 0.0007567546 0.0013119283 0.00082615134 0.001113652 0.00072701316 0.00064439804 0.0010739968 0.00047916776 0.00084267434 0.0019364987 0.0007600592 0.00060143817 0.0010046 0.00070057635 0.0016853487 0.0010475599 0.0012061809 0.0048412466 0.0015135092 0.0018406651 0.0014870724 0.0013251468 0.001992677 0.0029245757 0.0015961244 0.0043918206 0.0020323324 0.0024751495 0.001315233 0.0013218421 0.005921853 0.0034500079 0.0008030191 0.0014077618 0.0015597737 0.0061333473 0.0023132237 0.0012821868 0.001599429 0.0010310368 0.0114306295 0.0007435362 0.0009219849 0.0020752922 0.0010409507 0.0013416697 0.0073957066 0.0013879342 0.00083606516 0.003641675 0.0008724158 0.0018737112 0.0035557554 0.003592106 0.0008558928 0.0029741449 0.00035028817 0.0010277323 0.00076997303 0.0018175329 0.0015432506 0.0014870724 0.0006840533 0.0010872151 0.0004362079 0.0010541691 0.0012127901 0.002620552 0.0074320575 0.0005056046 0.0037804684 0.001315233 0.004087797 0.0003734204 0.0012689685 0.0008096283 0.001239227 0.0016985671 0.0014176756 0.0004362079 0.0016523027 0.001490377 0.005280759 0.007124729 0.0011863533 0.0015333368 0.0010376461 0.00059813354 0.00028089146 0.0004329033 0.00076997303 0.0016787394 0.0006245704 0.00039324802 0.001976154 0.0021314705 0.00034698355 0.0072965687 0.0053567654 0.012101465 0.00067083485 0.0005584783 0.0019364987 0.006681912 0.00035028817 0.0140544865 0.0007137947 0.0070222863 0.00034037433 0.0007402316 0.009950167 0.0003701158 0.00045934014 0.00034698355 0.0009021572 0.0004956908 0.00036350658 0.0004989954 0.000627875 0.00034367896 0.00040316186 0.00028089146 0.00061796117 0.0008856342 0.00035689736 0.00033376514 0.0006840533 0.0013813251 0.00034367896 0.0009219849 0.0005584783 0.0007964099 0.00028419605 0.00027758683 0.0009418125 0.00028419605 0.00035028817 0.0005023 0.00090876647 0.00032385133 0.00033376514 0.00029080527 0.00058491516 0.00032715593 0.00026106383 0.00027428224 0.0009418125 0.001959631 0.00029080527 0.0015829059 0.0012359223 0.0006675303 0.00035359277 0.00058821973 0.00076336385 0.0013251468 0.0006047428 0.0005617829 0.006298578 0.0011929625 0.0023429652 0.0014606356 0.0017844868 0.0006510072 0.0017018717 0.0018406651 0.00125575 0.0021083383 0.00045934014 0.0004824724 0.00085258816 0.000736927 0.0005783059 0.00053865067 0.004920557 0.0026238565 0.0061663934 0.0012821868 0.0016985671 0.00027428224 0.00086250197 0.0007931053 0.0015630783 0.00071709935 0.00044942633 0.0008558928 0.0009814678 0.0002974145 0.00053865067 0.00036350658 0.0015597737 0.00039985724 0.00052543223 0.0004890816 0.0010112092 0.0002974145 0.0003701158 0.00047586317 0.009613097 0.0048742928 0.00041968486 0.0021777349 0.0029344894 0.0003106329 0.0003172421 0.0008922434 0.0021413842 0.00040977105 0.00040646645 0.00068074866 0.0014275895 0.001113652 0.0023000052 0.0015696875 0.004067969 0.0013714111 0.00061796117 0.0017977053 0.002947708 0.0036813302 0.0057896683 0.06315431 0.360511 0.0 9.964923e-06 3.321641e-06 9.964923e-06 4.9824616e-06 0.0 0.0 1.6608205e-06 0.0 0.0 0.0 0.0 3.321641e-06 0.0 0.0 0.0032286353 1.6608205e-06 4.6502977e-05 2.6573129e-05 4.1520514e-05 2.491231e-05 1.8269026e-05 1.3286564e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0090846885 0.00052315847 9.134513e-05 8.304103e-06 0.00017272534 1.9929847e-05 1.8269026e-05 1.8269026e-05 2.6573129e-05 6.643282e-06 2.1590668e-05 2.1590668e-05 1.9929847e-05 8.802349e-05 1.3286564e-05 6.975447e-05 0.008782419 0.00030891263 0.00019265519 3.653805e-05 3.9859693e-05 3.8198872e-05 7.1415285e-05 6.6432825e-05 0.00028732195 1.4947385e-05 0.0 1.6608205e-06 4.9824616e-06 3.155559e-05 1.4947385e-05 0.00031223428 0.016144836 0.0012721886 0.000388632 0.00010961416 0.0006643282 0.00034212903 5.812872e-05 0.00011957908 0.0003952753 3.653805e-05 4.9824616e-06 8.304103e-06 7.6397744e-05 2.823395e-05 6.643282e-06 0.0007523517 0.012675382 0.00049492455 0.00021590668 6.809364e-05 0.0003388074 3.8198872e-05 2.1590668e-05 0.00015943877 0.000453404 5.64679e-05 1.9929847e-05 9.798841e-05 0.00018435108 0.00024912308 2.1590668e-05 0.0019116044 0.014110331 0.00010297087 0.0005895913 0.00015943877 0.00064938085 0.00014781303 0.00025410554 0.00039029284 0.0011177323 6.4772e-05 5.480708e-05 0.00020760257 0.00021590668 0.0003786671 4.3181335e-05 0.0019215695 0.006515399 9.798841e-05 0.00017106452 7.30761e-05 0.00040025776 6.809364e-05 5.64679e-05 5.1485436e-05 0.00039361446 0.000259088 5.480708e-05 4.3181335e-05 0.00015279549 0.00023583652 7.30761e-05 0.0015578497 0.0017720956 6.643282e-06 4.3181335e-05 1.6608206e-05 0.00023251488 0.00015113468 0.0007075096 0.0003388074 9.964923e-06 8.304103e-06 9.964923e-06 1.8269026e-05 1.1625744e-05 3.9859693e-05 1.1625744e-05 2.3251489e-05 0.011024527 0.00028067868 0.0012024341 0.0013352997 0.002471301 0.000906808 0.005895913 0.003285103 0.00059955625 0.0002574272 0.00010795334 0.0001046317 0.00028400033 0.00023251488 0.0001444914 0.0024796051 0.0029097577 9.964924e-05 0.0002657313 0.0002989477 0.00054474914 0.0 1.6608206e-05 2.3251489e-05 0.0005015678 0.0001129358 0.0 1.4947385e-05 0.00028732195 0.00044177828 0.00014283057 0.0011426446 0.005527211 0.00084535766 0.0010728901 0.010684059 0.0015761188 0.0008652875 0.0014249841 0.0010878375 0.00090016477 0.00076895993 0.0007340827 0.0007423868 0.0008968431 0.0010047965 0.0008935215 0.0015877445 0.0025144822 0.00013784811 0.00040856187 0.00037700628 0.00036538052 0.00021092422 0.00066764985 0.0005314626 8.802349e-05 0.00030226936 8.636267e-05 0.00012456154 0.0001212399 0.00012788319 0.00038198874 0.00035707644 0.005656755 0.0010562818 0.00069754466 0.0011725393 0.0020893123 0.0019647507 0.001351908 0.001406715 0.005211655 0.00066764985 0.00055139244 0.0011443053 0.0015960486 0.0014033933 0.0021590667 0.009285647 0.06582496 0.014807876 0.009134513 0.016319223 0.03229632 0.028165856 0.017797353 0.017149633 0.051116735 0.013646963 0.0064057847 0.008614676 0.019270502 0.019041307 0.021334901 0.07063802 0.0021989264 0.0011260364 0.0009948316 0.0010446562 0.0012140599 0.0011027849 0.0012007733 0.00129544 0.0014017326 0.001008118 0.0010811941 0.0011575919 0.0012007733 0.0011260364 0.0014382707 0.0018169377 800.0 10.83875 8671.0 0.019144274 0.0014992504 0.009918118 0.0034598086 0.002306539 0.0040364433 0.0028831738 0.002537193 0.004382424 0.004497751 0.0017299043 0.0014992504 0.0026525198 0.0039211162 0.005535694 0.0036904626 0.012570638 0.009226156 0.012916619 0.014300542 0.013723907 0.0132626 0.012455311 0.016145773 0.013377926 0.015684465 0.014300542 0.013147272 0.016376426 0.015684465 0.012916619 0.012916619 0.0040364433 0.008072887 0.0031138277 0.011878676 0.011878676 0.0059970017 0.01210933 0.009226156 0.004497751 0.007150271 0.0056510204 0.002767847 0.0059970017 0.0038057894 0.0059970017 0.0034598086 0.010725407 0.004613078 0.0078422325 0.019028947 0.0069196173 0.0026525198 0.00795756 0.014877177 0.0040364433 0.0031138277 0.0016145774 0.002306539 0.002191212 0.0029985008 0.002421866 0.00945681 0.002421866 0.023757352 0.004728405 0.018567638 0.015107831 0.06735094 0.013147272 0.00680429 0.012570638 0.030561643 0.008188213 0.0032291547 0.027563142 0.015799792 0.027563142 0.03448276 0.013493253 0.002191212 0.03586668 0.0265252 0.04763003 0.016145773 0.005420367 0.015684465 0.0064583095 0.007380925 0.0018452313 0.0018452313 0.002306539 0.0026525198 0.0008072887 0.0008072887 6.041402 0.0 1.0 0.0 5.0 302608.0 311296.0 1.0 0.0 229.0 1.0 1.0 0.0 0.0 0.0 1290243600.0 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 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 6.0 1.0 9.0 0.0 6.0 1.0 6.0 1.0 142848.0 1024.0 4096.0 4.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -7168.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -117248.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -142848.0 0.0 34304.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.799389 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -0.17623094 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.628284 0.0 4.3649163 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6960.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -117040.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -142368.0 0.0 33872.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 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 -1.0 0.0 0.0 -2.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 2.0 2.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 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 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 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 -1.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 -2.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 1.0 1.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 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 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 -1.0 0.0 0.0 0.0 -2.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 1.0 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 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 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 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -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 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 -1.0 -1.0 1.0 0.0 0.0 0.0 0.0 1.0 -1.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 -1.0 0.0 0.0 -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 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -2.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -2.0 -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 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -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 -1.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 -2.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 -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 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 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 -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 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 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 1.0 0.0 1.0 -1.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 100.0 141264.0 33872.0 266240.0 0.0 0.0 0.0 0.0 6960.0 303104.0 56.0 146372.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 114080.0 148.0 640.0 932.0 4096.0 160.0 140540.0 0.0 0.0


Input: 0.111906886 0.008090664 0.005558779 0.0038239975 0.0077810944 0.0026604973 0.0029237054 0.0028549123 0.00760313 0.0021983872 0.0022028738 0.002331487 0.0042651705 0.001893305 0.0016794482 0.0033095449 0.006252692 0.0020533237 0.0014267084 0.0018888185 0.0029939942 0.0022118469 0.0017123492 0.001887323 0.0028309843 0.0017916108 0.0013265099 0.0013833389 0.00390625 0.0013369784 0.0014102579 0.0015583126 0.004242738 0.0012442573 0.0014925105 0.0011784552 0.004242738 0.0018349803 0.0014925105 0.0011605092 0.0021131437 0.0013893209 0.0011485452 0.0019725666 0.0021520266 0.0012696808 0.0012098608 0.0041530076 0.0053688507 0.003420212 0.0030074536 0.011311973 0.0050727413 0.0028534168 0.002763687 0.0029386606 0.004476036 0.0059027444 0.002976048 0.0036684652 0.0039466284 0.0034127345 0.0042203055 0.0033768425 0.018961463 0.0056350497 0.0042561973 0.0076599587 0.0053867963 0.012864304 0.010477483 0.0022940994 0.003447131 0.0039256914 0.0021206213 0.0031510217 0.0029356696 0.0030194176 0.0020518282 0.0015897182 0.007344408 0.0023688744 0.0038778356 0.006611612 0.0038239975 0.0068568746 0.0044655674 0.0029566064 0.0024645866 0.0050413357 0.002484028 0.0047661634 0.001899287 0.003330482 0.003897277 0.002307559 0.0015762586 0.0036669697 0.0016719707 0.002424208 0.0065502967 0.006146511 0.0033977795 0.0017542233 0.0048947767 0.0036475281 0.003393293 0.0016854302 0.003927187 0.003417221 0.0043728463 0.0046046493 0.0032452382 0.0012113563 0.0045567933 0.003566771 0.010816962 0.005757681 0.0023120453 0.0018065658 0.0026305872 0.0019306925 0.0012592123 0.0015403666 0.0022851264 0.0023180274 0.0018663859 0.001989017 0.0058967625 0.0016345832 0.0011380767 0.006699847 0.003432176 0.0045104325 0.0017572143 0.0013130504 0.0024316856 0.008243204 0.0023808384 0.039550032 0.0013863299 0.0059236814 0.0013190324 0.0013384739 0.0031196163 0.0015657902 0.0019635935 0.001422222 0.0018035749 0.0021744592 0.0013549244 0.0012906179 0.0015837362 0.0012876268 0.0025139381 0.0018110523 0.0016001867 0.0014057715 0.001511952 0.0011799507 0.0016196282 0.0031854182 0.0012143472 0.0015927091 0.03518317 0.0015986911 0.0011679867 0.0008793549 0.0017661873 0.0015642946 0.0016540247 0.0012651943 0.002129594 0.0019665845 0.0014835375 0.0011739687 0.0024885146 0.0013205279 0.0022088557 0.0015224206 0.0033140313 0.0014446544 0.002259703 0.0016166371 0.003083724 0.0021834322 0.0027592003 0.0016375742 0.001941161 0.001467087 0.0017138447 0.0014865285 0.009487461 0.0020637922 0.0026216141 0.011564713 0.0033454369 0.0013638973 0.0044446304 0.002751723 0.002516929 0.0016914122 0.0016016822 0.0019710711 0.0019725666 0.001547844 0.0027816328 0.001425213 0.0060358443 0.0015373756 0.0030104446 0.001899287 0.0016211236 0.00096011197 0.0021729637 0.0015254116 0.003976539 0.0019306925 0.0015717722 0.0023658834 0.002048837 0.00092721096 0.0012038788 0.0019635935 0.002454118 0.0009974996 0.0013519333 0.0018065658 0.0023329824 0.0014566185 0.001461105 0.00092421996 0.017700756 0.0028339755 0.0011993923 0.004344432 0.0035144286 0.0010737701 0.001458114 0.0011620047 0.0047721453 0.0014805465 0.0020413597 0.001470078 0.0048140194 0.0012158428 0.0024855235 0.0016375742 0.0049785245 0.0016779527 0.002493001 0.004359387 0.008039816 0.0049336595 0.0065054316 0.03611786 0.0 2.246693e-06 0.0 6.740079e-06 7.4889763e-06 5.2422834e-06 2.246693e-06 0.0 0.0 2.246693e-06 0.00609378 2.246693e-06 3.7444881e-06 0.0 0.0 8.986772e-06 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0028188506 0.00013555046 7.4889763e-06 7.4889763e-06 7.4889763e-06 8.237874e-06 8.237874e-06 8.237874e-06 8.237874e-06 8.237874e-06 8.237874e-06 8.237874e-06 8.237874e-06 8.237874e-06 8.237874e-06 8.237874e-06 6.740078e-05 1.9471338e-05 1.4977952e-06 8.6872125e-05 1.4977952e-06 1.4977952e-06 7.488976e-07 0.0 2.0969133e-05 2.9955904e-06 0.0013120687 0.0 2.246693e-06 0.0 0.0 1.6475748e-05 0.002597926 0.00014753283 2.0969133e-05 1.6475748e-05 1.7224645e-05 1.1233465e-05 1.273126e-05 1.7973543e-05 6.0660706e-05 1.1982362e-05 1.4977953e-05 1.1982362e-05 3.7444883e-05 1.273126e-05 4.643165e-05 2.9207007e-05 0.0012034784 2.0969133e-05 9.735669e-06 1.4229055e-05 1.572685e-05 1.1233465e-05 1.0484567e-05 1.0484567e-05 1.1982362e-05 9.735669e-06 1.0484567e-05 1.1982362e-05 8.387653e-05 1.1233465e-05 8.911882e-05 8.986772e-06 0.0011503068 1.7973543e-05 6.740079e-06 1.273126e-05 4.418496e-05 1.8722441e-05 1.572685e-05 1.273126e-05 1.572685e-05 1.6475748e-05 1.4229055e-05 8.237874e-06 6.665189e-05 1.7973543e-05 0.00010484567 1.0484567e-05 0.011986107 0.00027784103 0.00124317 8.387653e-05 0.0005714089 0.00020594685 0.0039242236 0.0020399971 0.00019920677 3.444929e-05 3.9691575e-05 3.819378e-05 5.2422834e-05 3.22026e-05 8.6123226e-05 0.00065753213 0.0030704802 5.317173e-05 0.00011907472 6.665189e-05 0.0011031262 0.0005219816 0.0038201269 0.0018737419 6.740079e-06 2.9955904e-06 2.9955904e-06 3.7444881e-06 2.3964723e-05 1.4229055e-05 8.986772e-06 4.418496e-05 0.004819156 0.0003182815 0.00023889834 0.0027035205 0.00065902993 0.00020519795 0.00049202575 0.00023964724 0.0007017171 0.000110836845 0.00071669504 7.4140866e-05 0.0001258148 5.6167322e-05 8.237874e-05 0.0007264307 0.010554963 0.0005309684 0.0004336117 0.0015314956 0.003197044 0.0010544478 0.0030824626 0.001748676 0.0006395586 0.0002553741 0.0011240953 0.0002808366 0.0004695588 0.0001894711 0.00023665164 0.0007444042 0.016954293 0.0022871334 0.0018025966 0.022917015 0.0071849236 0.0027529476 0.006904087 0.004228276 0.002385988 0.0018789842 0.0019418915 0.0018984554 0.0019051955 0.0015644472 0.0017052399 0.002976868 0.012025049 0.0010252409 0.00065378763 0.0016513192 0.0053583626 0.001762905 0.00418484 0.0022227282 0.0016063855 0.00067026337 0.000797576 0.0009780603 0.0013225531 0.00045757645 0.000943611 0.0026833003 0.031673875 0.005273737 0.0076192846 0.0073931175 0.023850892 0.01463271 0.00781924 0.006333427 0.021309882 0.0033221098 0.0026533443 0.0042095534 0.00868197 0.008540428 0.00884523 0.018822793 0.05612763 0.010334787 0.00900849 0.012093947 0.029535774 0.030323613 0.012566502 0.014177381 0.050044335 0.004705324 0.0051928563 0.0067707836 0.021307636 0.010430646 0.02113464 0.04366897 0.015177908 0.015568084 0.011151086 0.02022398 0.018160768 0.013014343 0.014351874 0.016235352 0.012074476 0.016594073 0.039609943 0.018191472 0.019132836 0.013454694 0.012848088 0.018750899 5346.0 10.0940895 53963.0 0.004280711 0.00137131 0.0028908697 0.0013527788 0.005059022 0.001630747 0.0027240887 0.0017604656 0.004225117 0.0017048719 0.0024831828 0.0019272465 0.003780368 0.0021125586 0.0026129014 0.024294425 0.012156477 0.009543576 0.009562108 0.03065063 0.011711729 0.009191483 0.010284825 0.009191483 0.013361007 0.012082352 0.008969109 0.008857921 0.010766637 0.007653392 0.010006856 0.010006856 0.10103219 0.010303356 0.007708986 0.014120786 0.012823601 0.0083019845 0.006356207 0.00685655 0.0068380185 0.009506513 0.002056965 0.00274262 0.0074495487 0.0067638936 0.0044845543 0.0074124862 0.008950577 0.0033726813 0.0056149582 0.016511314 0.015751533 0.006374738 0.00472546 0.00609677 0.004095399 0.006374738 0.0030391193 0.0069862683 0.0037618368 0.007023331 0.0062079574 0.0065600504 0.0032059003 0.024424143 0.0061523635 0.015640346 0.015936846 0.049107723 0.004706929 0.009487983 0.012730945 0.022904582 0.003020588 0.0051702093 0.023608768 0.01204529 0.030761817 0.033745345 0.012026759 0.0013342475 0.030520912 0.018994497 0.043325983 0.010729574 0.0055223024 0.004781054 0.0073383613 0.0054667084 0.0023534645 0.0013157163 0.003539462 0.0015751533 0.0024461206 0.0016678094 5.93268 0.0 0.0 0.0 2.0 668672.0 696320.0 0.0 0.0 14.0 1.0 1.0 0.0 1.0 0.0 706629400.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 2.0 -1.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 25.0 4.0 0.0 4.0 0.0 395264.0 1024.0 4096.0 8.0 2.0 0.0 1.0 4.0 0.0 0.0 0.0 0.0 0.0 -29184.0 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 -6656.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -395264.0 0.0 0.0 0.0 0.0 0.0 0.0 -8704.0 226816.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.642938 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0805576 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.6461573 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.598476 0.0 0.0 0.0 0.0 0.0 0.0 -4.9178267 7.355787 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -16.0 0.0 0.0 -28816.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 24.0 0.0 3881.0 0.0 0.0 0.0 0.0 0.0 -6468.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -394960.0 0.0 0.0 0.0 0.0 0.0 0.0 -8296.0 226524.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 8296.0 413696.0 226524.0 466944.0 0.0 0.0 0.0 0.0 28816.0 434176.0 0.0 0.0 0.0 0.0 0.0 0.0 24.0 430080.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0