Input: 0.20871884 0.01163905 0.0033976268 0.0051748473 0.016343456 0.0024567456 0.004599864 0.004355932 0.015176067 0.0010454237 0.0012719322 0.0020211523 0.008955796 0.0010279999 0.0011848134 0.0038157965 0.01000122 0.0013764745 0.0007840677 0.0010802711 0.011743592 0.0024741692 0.0021256949 0.0008014915 0.0034324743 0.0005924067 0.0005575593 0.0006795254 0.002177966 0.00041816945 0.00052271184 0.00054013554 0.0040423046 0.00054013554 0.00054013554 0.000574983 0.004930915 0.0012545084 0.0004355932 0.00033105083 0.001602983 0.0005052881 0.0005575593 0.0023522032 0.001219661 0.00073179655 0.0013067796 0.00045301692 0.0033453556 0.001149966 0.0014113219 0.0037983726 0.0012545084 0.0006272542 0.0006446779 0.00048786437 0.0025787116 0.0024915931 0.0006795254 0.0031188473 0.0017946439 0.0005575593 0.00054013554 0.00020908473 0.006533898 0.0035892879 0.00085376267 0.0011151186 0.0031014236 0.021431185 0.0054013557 0.0016378304 0.002421898 0.0018294913 0.0005052881 0.0005575593 0.0016901016 0.016395727 0.0024915931 0.0007840677 0.014043525 0.0033453556 0.00097572873 0.0058369488 0.0009408813 0.002561288 0.007161152 0.007875524 0.0010802711 0.0048263725 0.000383322 0.0035892879 0.001219661 0.0047741015 0.003937762 0.002369627 0.0006795254 0.0024044744 0.00054013554 0.00191661 0.0016726778 0.007823254 0.0013590507 0.0011151186 0.0037635253 0.0020385762 0.01061105 0.0006969491 0.0023173557 0.0008363389 0.0025264404 0.0019514575 0.0014113219 0.0010279999 0.003188542 0.0037286778 0.011604203 0.01958427 0.0025264404 0.0012022372 0.0015158643 0.0007492203 0.00041816945 0.0006446779 0.0014635931 0.004565017 0.0017423728 0.001149966 0.0029794574 0.0007492203 0.00045301692 0.01697071 0.0038157965 0.00574983 0.00034847454 0.000574983 0.0030491524 0.0132594565 0.002299932 0.0424442 0.0010976949 0.023103863 0.0005052881 0.00040074575 0.000958305 0.00029620336 0.0003136271 0.00015681355 0.0007492203 0.00047044066 0.00017423727 0.00029620336 0.0007492203 0.00034847454 0.000383322 0.00027877965 0.000766644 0.00026135592 0.00024393218 0.00022650846 0.0010105761 0.0005924067 0.00090603385 0.00045301692 0.0010454237 0.0038506438 0.00024393218 0.00029620336 0.0014984406 0.00024393218 0.00052271184 0.0005575593 0.0013938982 0.0005052881 0.0003136271 0.00034847454 0.0020385762 0.000574983 0.000191661 0.00027877965 0.0014113219 0.00048786437 0.0010105761 0.0008189152 0.0052793897 0.00034847454 0.00047044066 0.00048786437 0.0014113219 0.0005052881 0.00073179655 0.00041816945 0.006899796 0.0013938982 0.005192271 0.0052793897 0.004565017 0.00054013554 0.007405084 0.0045824405 0.0034673219 0.0025438643 0.0005924067 0.0011325423 0.0025787116 0.0005052881 0.0044256267 0.0023870508 0.0020385762 0.0006098305 0.0008711864 0.0010628474 0.0032408133 0.00033105083 0.0006098305 0.0006446779 0.0026658303 0.0008886101 0.0004355932 0.0020211523 0.001219661 0.0008363389 0.00054013554 0.0008886101 0.0020559998 0.00024393218 0.000383322 0.00034847454 0.0016901016 0.0006098305 0.00054013554 0.0006969491 0.035213355 0.0010628474 0.00045301692 0.0049483385 0.005819525 0.000383322 0.0005575593 0.0005575593 0.0049831863 0.0037286778 0.0005052881 0.0014287457 0.001602983 0.0006795254 0.0026484067 0.0011673898 0.0038506438 0.0014287457 0.0010279999 0.001149966 0.014043525 0.0013067796 0.0024915931 0.06467687 0.07272727 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.01677912 0.00015980113 0.00022194603 0.00010653409 0.00011541193 0.0001509233 0.0002840909 9.765625e-05 0.0 8.877841e-06 0.0 0.00014204545 3.5511363e-05 1.7755681e-05 3.5511363e-05 2.6633523e-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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.012384588 3.5511363e-05 6.2144885e-05 0.00010653409 0.00095880684 0.00048828125 0.002681108 0.0013139205 2.6633523e-05 0.0 1.7755681e-05 1.7755681e-05 3.5511363e-05 1.7755681e-05 1.7755681e-05 1.7755681e-05 0.0125 0.00041725853 0.00022194603 0.00086115056 0.0010209517 0.00047940342 0.0013760653 0.0008700284 2.6633523e-05 5.3267046e-05 5.3267046e-05 4.4389206e-05 4.4389206e-05 6.2144885e-05 7.9900565e-05 7.1022725e-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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0171875 0.0014204546 0.0008877841 0.00052379264 0.0019176137 0.0017933239 0.0013227983 0.0014382103 0.0028053976 0.00017755682 0.00034623579 0.000390625 0.0015891335 0.00048828125 0.001677912 0.002397017 0.01081321 0.0008078835 0.0019708807 0.0017755682 0.003284801 0.0019442472 0.0073508522 0.0045365766 0.000949929 9.765625e-05 0.00021306818 0.00031072443 0.00055042614 0.00034623579 0.0006392045 0.0007723722 0.04428267 0.009747869 0.006205611 0.006853693 0.018013138 0.016583806 0.009978693 0.013778409 0.031267755 0.0011985085 0.001731179 0.0034712357 0.012810725 0.0037642044 0.012686434 0.025807884 0.09427379 0.027237216 0.011869674 0.014825994 0.045987215 0.04460227 0.019477982 0.035298295 0.08472124 0.0052112928 0.011434659 0.012340199 0.039071377 0.014470881 0.04139737 0.079598725 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 172.0 14.703488 2529.0 0.030051405 0.0015816528 0.0015816528 0.0003954132 0.0007908264 0.013839462 0.0007908264 0.0 0.0003954132 0.0 0.0011862396 0.0007908264 0.007512851 0.0047449586 0.023724793 0.0007908264 0.006326611 0.0071174377 0.0047449586 0.003954132 0.0031633056 0.001977066 0.0011862396 0.0015816528 0.0031633056 0.0035587188 0.0007908264 0.0003954132 0.0007908264 0.0003954132 0.0007908264 0.0003954132 0.0011862396 0.02214314 0.0071174377 0.00869909 0.005535785 0.015421115 0.015816528 0.010280743 0.0031633056 0.013444049 0.0 0.0035587188 0.011466983 0.015025702 0.00869909 0.007908264 0.010280743 0.0011862396 0.009094504 0.03084223 0.005535785 0.0015816528 0.01225781 0.005931198 0.0011862396 0.001977066 0.0 0.0015816528 0.01107157 0.001977066 0.0 0.0023724793 0.0007908264 0.04468169 0.0067220246 0.021352313 0.023724793 0.0838276 0.010676157 0.017002769 0.009489917 0.03914591 0.0051403716 0.005535785 0.03677343 0.011466983 0.04903124 0.038355082 0.013048636 0.0007908264 0.051403716 0.04903124 0.053776197 0.016607355 0.00869909 0.0051403716 0.009094504 0.0071174377 0.0011862396 0.0007908264 0.0003954132 0.0015816528 0.0003954132 0.0023724793 5.520003 0.0 0.0 0.0 2.0 57393.0 2510848.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1159316500.0 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 8.0 0.0 4.0 0.0 4.0 0.0 1784832.0 1024.0 4096.0 5.0 0.0 0.0 1.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 361472.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -150016.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1784832.0 0.0 69120.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.102268 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 361017.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -279740.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1784481.0 0.0 69024.0 0.0 0.0 0.0 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 2053.0 2148832.0 300.0 2140052.0 69024.0 2441216.0 0.0 0.0 5776.0 2366464.0 0.0 0.0 28.0 1804832.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1588.0 1789952.0 64.0 2139916.0 0.0 0.0


Input: 0.18617949 0.0109437145 0.0053328555 0.101064965 0.014913284 0.0039267996 0.003598007 0.02102936 0.011847226 0.0017695993 0.0020235449 0.0015691159 0.0075034215 0.0016760404 0.0012002267 0.007385805 0.007051666 0.0017214833 0.001112014 0.0009061845 0.0040043197 0.0033093109 0.0009543005 0.00079391384 0.0028415166 0.0011013215 0.00078856765 0.00093826186 0.0022400666 0.0008580685 0.00063620036 0.0010184551 0.0062443865 0.000604123 0.0010719174 0.0008099525 0.008441684 0.000868761 0.00051858346 0.00050521793 0.001545058 0.00055066077 0.00075649034 0.0018658312 0.0011307258 0.00078856765 0.0013739789 0.0005666995 0.0026276677 0.0009730123 0.00072441297 0.0064154654 0.0016519824 0.0008099525 0.00056937255 0.0004971986 0.0016706942 0.0027158805 0.0008046063 0.0049211965 0.0013258628 0.0013900176 0.0005773919 0.0010906291 0.007928446 0.0038572988 0.0021678926 0.010446517 0.009970703 0.010497306 0.0042475727 0.0014087294 0.0021785852 0.0011280527 0.00094360806 0.0004891792 0.0023763953 0.0054237414 0.0018658312 0.0009329156 0.0092516355 0.0030874428 0.0016626748 0.0042956886 0.0023256063 0.0033547538 0.00620429 0.0046538855 0.0012536889 0.0035846413 0.000507891 0.0014327873 0.001352594 0.0028816133 0.0036060263 0.0021892777 0.001112014 0.0029564605 0.0007858945 0.0023389717 0.0024940122 0.0066266414 0.003948184 0.0010826098 0.003598007 0.0032237715 0.005562743 0.000772529 0.0030794234 0.0012269578 0.00292171 0.0033253497 0.003020615 0.00056937255 0.003937492 0.003237137 0.015022882 0.013900176 0.0024565887 0.0018658312 0.0017188102 0.0014408067 0.00052392966 0.0004544288 0.0017990035 0.003843933 0.0020155255 0.001307151 0.003044673 0.002151854 0.0007083743 0.012699949 0.002659745 0.008329413 0.00097568537 0.00088479964 0.0016974253 0.011053313 0.0009970702 0.031192528 0.0011547838 0.008829284 0.00051323726 0.00046779437 0.0015022882 0.000748471 0.0013098242 0.0010184551 0.0014274411 0.0011681494 0.00044640948 0.0003528506 0.0007270861 0.0005533339 0.0002512724 0.00044640948 0.0008126256 0.00041433214 0.00034483126 0.00072441297 0.0009462812 0.0009997434 0.0003314657 0.0007912408 0.00081529876 0.0013873444 0.00032077328 0.0003795817 0.001087956 0.00049185235 0.0006174886 0.00038225483 0.0007805483 0.0005586801 0.0003528506 0.00034215816 0.0009462812 0.00036888928 0.00036621615 0.00031542705 0.00092222315 0.00051323726 0.0015290193 0.0013338822 0.0028361704 0.0006228348 0.00048383302 0.0006067961 0.00096231984 0.0004731406 0.00091687695 0.0006255079 0.008310701 0.0027639964 0.0037049314 0.0047928873 0.002579552 0.0008366836 0.0028842865 0.0040417435 0.0024539155 0.0023817415 0.00083401054 0.0008553954 0.0043705357 0.00059343054 0.001954044 0.0010745905 0.001643963 0.0009088576 0.0021411616 0.0009275694 0.0009142038 0.0003528506 0.000748471 0.0010745905 0.001884543 0.00069768185 0.00051056413 0.0012991318 0.001133399 0.000628181 0.0004784868 0.0004971986 0.0023737221 0.00054264144 0.0005399684 0.00041165904 0.0017963303 0.0006014499 0.0004891792 0.0003528506 0.017174736 0.0031195201 0.00039294726 0.004734079 0.0044106324 0.0004544288 0.00050521793 0.00058808434 0.004129956 0.001908601 0.0010478593 0.00096499297 0.0016466362 0.0005987768 0.0031248664 0.0018230615 0.003910761 0.0012697276 0.000772529 0.0011815149 0.0055974936 0.0013953637 0.0048356573 0.054691844 0.12087912 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0025755495 0.0 1.4755752e-05 1.7438617e-05 1.341432e-05 1.341432e-05 6.70716e-05 2.8170072e-05 1.341432e-06 1.341432e-06 1.341432e-06 2.682864e-06 1.341432e-06 0.0 5.365728e-06 4.0242962e-06 0.009783064 0.00015694754 0.00011268029 6.036444e-05 6.70716e-05 4.024296e-05 7.243733e-05 0.0001046317 0.00023609203 3.7560098e-05 4.8291553e-05 7.243733e-05 4.4267257e-05 4.4267257e-05 6.8413035e-05 4.024296e-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 0.0084885815 0.00018377618 0.00041718537 0.000116704585 0.00021999485 0.0001046317 0.00071900757 0.00043059967 3.0852938e-05 3.219437e-05 2.682864e-05 1.2072888e-05 4.4267257e-05 5.4998713e-05 1.6097185e-05 9.121738e-05 0.009400755 9.121738e-05 0.00018243476 0.00013682607 0.001055707 0.00010194883 0.00027365214 0.00034608945 0.00015024039 3.6218666e-05 6.8413035e-05 5.7681576e-05 0.00012743604 5.365728e-05 5.0974417e-05 0.0016030113 0.046477936 0.0012086303 0.0026439624 0.001065097 0.0038271055 0.00066803314 0.004527333 0.002862616 0.0008504679 0.0006653503 0.0003729181 0.0003527966 0.0004735255 0.0003769424 0.00049632986 0.00730678 0.014723558 0.00049767125 0.00038767385 0.00028840787 0.0016432542 0.0005513285 0.0015842312 0.0011710702 0.0007538848 0.0002347506 9.6583106e-05 0.0001717033 0.00038230812 0.00018914191 0.0001421918 0.0019075163 0.017690806 0.00047889122 0.0011871674 0.00075120194 0.004248315 0.0020832438 0.0092062475 0.004800985 0.00052718277 0.00020792196 0.00023340917 0.00020389767 0.0003648695 0.0004735255 0.0002642621 0.0012341174 0.019964533 0.0005660843 0.0013360663 0.0012864333 0.005321461 0.0019678806 0.006976788 0.0037372296 0.0006331559 0.00046279404 0.0006438874 0.0007847377 0.00073778763 0.00076864054 0.0006693746 0.0008464436 0.0050008586 0.00023609203 0.0006344973 0.00033401657 0.0019772707 0.00038633242 0.001955808 0.0013763092 0.00019182477 0.00013280177 0.00015560612 0.00015828898 0.00030048078 0.00042523394 0.00025353066 0.00021731199 0.0030732208 0.00029645648 0.00028572502 0.00021597055 0.0011496072 0.0002562135 0.0006264488 0.0004909641 0.00023743346 0.0001421918 0.0001717033 0.00022938487 0.00017975189 0.00031657796 0.00027365214 0.00029645648 0.02672535 0.004813058 0.004260388 0.0036004034 0.008386633 0.00721288 0.0029806618 0.007163247 0.017674709 0.002043001 0.0018981263 0.0027968858 0.008149199 0.002586281 0.006511311 0.014076987 0.09708882 0.021681566 0.016031453 0.020745246 0.038029596 0.038326055 0.015946943 0.0346237 0.06622784 0.008214929 0.0068520345 0.008950034 0.033710185 0.010511462 0.029791864 0.061510023 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1269.0 13.857368 17585.0 0.029229457 0.0006255331 0.0020471993 0.0005686665 0.005174865 0.0007392664 0.0006823998 0.0027295991 0.0025021324 0.0007392664 0.00045493318 0.001137333 0.002274666 0.003070799 0.013704862 0.0032413988 0.01103213 0.0037531988 0.0034688655 0.0036394654 0.0024452659 0.0014785328 0.0019903327 0.0013647996 0.0021609326 0.0054023317 0.003525732 0.0026727323 0.0018765994 0.0032413988 0.0013647996 0.008700597 0.023258459 0.018083595 0.003070799 0.022121126 0.009382997 0.008075064 0.007961331 0.008245664 0.0046061985 0.008871197 0.00090986636 0.00085299974 0.0064827977 0.0071651977 0.0032413988 0.007278931 0.013591128 0.0032982656 0.007051464 0.02968439 0.008928063 0.0065965313 0.02490759 0.023315325 0.0019903327 0.003525732 0.001137333 0.0024452659 0.0031276657 0.0030139324 0.004151265 0.0060847313 0.002900199 0.03508672 0.006823998 0.028490191 0.016946262 0.076940574 0.0080181975 0.012624396 0.009269264 0.043502986 0.004208132 0.003070799 0.03303952 0.013932329 0.03815752 0.045152117 0.016889395 0.00079613307 0.04424225 0.031447258 0.064714245 0.017116861 0.0071651977 0.007904464 0.0077338642 0.008871197 0.0018765994 0.00028433325 0.00079613307 0.0003411999 0.001137333 0.0010235996 5.654383 1.0 14.0 0.0 3.0 374096.0 462848.0 1.0 0.0 357.0 0.0 1.0 1.0 0.0 0.0 1219275500.0 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 8.0 0.0 4.0 0.0 4.0 0.0 229376.0 4096.0 4096.0 4.0 0.0 0.0 2.0 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 57344.0 0.0 0.0 0.0 0.0 0.0 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 -229376.0 0.0 65536.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4.911568 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3.9142287 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.6701183 0.0 2.5886157 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 56634.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -26904.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -228531.0 0.0 143360.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 -1.0 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 -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 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 -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 2.0 -1.0 0.0 2.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 2.0 0.0 0.0 1.0 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 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 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 1.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 -1.0 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 -1.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 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 -2.0 1.0 1.0 1.0 1.0 0.0 0.0 -1.0 0.0 0.0 -3.0 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 -2.0 0.0 -1.0 -1.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 -1.0 -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 -2.0 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 1.0 0.0 0.0 0.0 0.0 1.0 -2.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 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 1.0 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 -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 0.0 0.0 0.0 0.0 1.0 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 -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 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 1.0 0.0 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 1.0 0.0 0.0 -1.0 0.0 1.0 0.0 1.0 1.0 1.0 0.0 0.0 0.0 0.0 1.0 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 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 -1.0 0.0 0.0 -1.0 0.0 0.0 1.0 1.0 0.0 0.0 -2.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 1.0 -1.0 1.0 0.0 2.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 -1.0 -2.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 2.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 -1.0 0.0 0.0 0.0 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 -1.0 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 0.0 -1.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 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 -1.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 -1.0 1.0 0.0 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 -1.0 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 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 1.0 0.0 0.0 1.0 1.0 0.0 -1.0 -1.0 -1.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 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 -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 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 2.0 -1.0 0.0 -1.0 0.0 0.0 0.0 -2.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 -1.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 1.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 -1.0 -1.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 1.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 260.0 282268.0 64720.0 319488.0 0.0 0.0 5456.0 368640.0 0.0 0.0 28.0 235120.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 259264.0 0.0 0.0 1476.0 233472.0 64.0 282132.0 0.0 0.0


Input: 0.1715851 0.010806654 0.007313976 0.006393492 0.009739924 0.013492402 0.01089096 0.0039417357 0.011312489 0.0022022794 0.0024913286 0.0018237625 0.0068649175 0.0023588478 0.0015123466 0.007124718 0.023865482 0.0013661014 0.0013299703 0.0011716814 0.0039056048 0.0040466883 0.0012043716 0.0008912349 0.0033412706 0.001342014 0.0010701701 0.0010478032 0.002162707 0.0010133926 0.000978982 0.0011768431 0.0061336923 0.0009256455 0.0046179043 0.0011097423 0.0063453172 0.0011527556 0.00088779384 0.0008998376 0.0019665665 0.0008344574 0.0009944668 0.002229808 0.0023295986 0.0019648462 0.0017945135 0.0013076033 0.00722795 0.0031520124 0.0029747977 0.008814279 0.0031795409 0.003053942 0.0029558719 0.0025532676 0.0037748446 0.0043322966 0.0022934675 0.0058652894 0.0026461764 0.0040759374 0.002148943 0.0022676596 0.004237667 0.0029197407 0.001983772 0.0024207868 0.004198095 0.0120161865 0.004048409 0.002162707 0.0025498266 0.0018891428 0.0012405027 0.000978982 0.0023605681 0.0073415046 0.0025171365 0.0011802841 0.010968383 0.0038952816 0.002123135 0.005199444 0.002823391 0.0037989318 0.0063556405 0.0049396437 0.0017222513 0.0039021638 0.00071918184 0.0019424792 0.0017394566 0.0030522216 0.0034599872 0.0033997688 0.0020852832 0.0041241124 0.0023880966 0.003750757 0.0043219733 0.007750991 0.0034479436 0.002126576 0.006756524 0.0041740076 0.0055056983 0.0011716814 0.0040208804 0.0019734488 0.0037645213 0.004340899 0.0031588944 0.0007432693 0.004366707 0.0037404338 0.014015444 0.011978335 0.0023777734 0.0016448274 0.0020164622 0.0016809586 0.00094973296 0.0009893052 0.00200958 0.0030935144 0.0017945135 0.0012129742 0.0033894456 0.0023743324 0.0012181358 0.010546854 0.0038006525 0.010130485 0.001539875 0.0009738204 0.0022556158 0.011467338 0.001147594 0.027557742 0.0015760062 0.013315188 0.0010392006 0.0009067197 0.0017222513 0.0008499422 0.0007140203 0.0010374801 0.0017136487 0.00093768927 0.0010237158 0.0007105792 0.0012645901 0.00089467596 0.00068133016 0.0006107884 0.0014641717 0.000898117 0.00075703353 0.0009084402 0.0014504074 0.0015054644 0.00080864946 0.0008705886 0.0015622419 0.0013058828 0.00069853547 0.0006778891 0.0014435253 0.0006572427 0.00069681497 0.00088779384 0.0014056736 0.00060562685 0.0007707978 0.00082069315 0.0014263199 0.00066928647 0.00066928647 0.0007776799 0.0011871662 0.0010959781 0.0014349227 0.0013626603 0.0026943511 0.001034039 0.0007690772 0.00080864946 0.0012405027 0.0010667291 0.0013093239 0.0009462919 0.008902026 0.0028956532 0.0028509195 0.0044991877 0.0034565462 0.0013747041 0.0035838655 0.0042961654 0.0028887712 0.0026203683 0.00093768927 0.0013833067 0.0036320405 0.0010684496 0.002068078 0.0014452458 0.0018960249 0.0010959781 0.0013661014 0.001063288 0.0014865386 0.0007948852 0.0011166245 0.0011389913 0.0025945604 0.00096521777 0.000784562 0.0014125557 0.0018409679 0.0007381077 0.0007432693 0.00080348784 0.0028509195 0.00075187196 0.0007880031 0.0007776799 0.0024483153 0.0009462919 0.00100479 0.00078284147 0.01779545 0.0040157186 0.00094973296 0.0041963747 0.0047727525 0.0008895144 0.00090327865 0.00094285083 0.0046265074 0.0019734488 0.0014572896 0.001286957 0.0023055112 0.0008258548 0.0028319936 0.001873658 0.004234226 0.0016052552 0.0011647993 0.0029094175 0.007069661 0.003585586 0.005393864 0.05206498 0.014134276 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.001638244 4.3134387e-06 6.901502e-06 8.626877e-06 1.03522525e-05 5.1761263e-06 9.489565e-06 6.901502e-06 2.3292569e-05 5.1761263e-06 6.0388143e-06 6.0388143e-06 1.20776285e-05 5.1761263e-06 1.3803004e-05 5.1761263e-06 0.0015433483 7.76419e-06 7.76419e-06 0.00012077628 6.901502e-06 9.489565e-06 5.1761263e-06 5.1761263e-06 8.626877e-06 6.0388143e-06 6.0388143e-06 9.489565e-06 7.76419e-06 7.76419e-06 7.76419e-06 6.901502e-06 0.0045368746 6.470158e-05 4.572245e-05 2.242988e-05 7.505383e-05 5.9525453e-05 4.572245e-05 5.9525453e-05 0.00011042403 1.9841818e-05 3.019407e-05 2.3292569e-05 3.9683637e-05 4.22717e-05 9.403296e-05 3.105676e-05 0.0028831023 8.713146e-05 6.815233e-05 2.6743319e-05 5.9525453e-05 6.297621e-05 5.7800076e-05 5.3486638e-05 3.019407e-05 2.242988e-05 2.5880632e-05 1.8116441e-05 3.1919444e-05 3.019407e-05 2.5017944e-05 5.0898576e-05 0.0025699467 0.00019928087 4.8310514e-05 6.383889e-05 4.054632e-05 8.799415e-05 0.00020877043 7.505383e-05 1.121494e-05 3.450751e-05 1.4665691e-05 1.03522525e-05 1.121494e-05 3.450751e-06 9.489565e-06 0.00014493153 0.018869568 0.0028114992 0.00088770565 0.00046067525 0.00061509636 0.00029072576 0.00032091982 0.00029935263 0.000113874776 0.00034248704 0.00016994948 0.0002803735 0.00014406885 0.00018030174 0.00018375249 0.0022982 0.035418507 0.002242988 0.004726666 0.006196686 0.0026027288 0.00089374447 0.00618202 0.0035378824 0.00024845407 0.00032005715 0.00020790774 0.00024672868 0.00027174663 0.00025017944 0.00018030174 0.0018444264 0.01766957 0.0011335716 0.0017305516 0.0020946057 0.0025406154 0.0020100623 0.008416382 0.0044738986 0.0004986335 0.0003174691 0.00019151668 0.0001897913 0.00027260932 0.00017943904 0.0002950392 0.00038907217 0.014688984 0.0013483809 0.0031332818 0.00382602 0.0024793644 0.001721062 0.007833204 0.004351397 0.00065477996 0.00042530504 0.000491732 0.0002864123 0.0002389645 0.00020445698 0.00038993484 0.00032954672 0.012209619 0.0020324923 0.0020756267 0.019118885 0.0032031594 0.0027097021 0.005364192 0.0034162435 0.0018107815 0.0014441393 0.001486411 0.0013526944 0.0013733988 0.0013820258 0.0014424139 0.0014156705 0.0101219155 0.0011663538 0.0012793659 0.0016296171 0.0020014355 0.0018081935 0.002858947 0.0021429162 0.0032255894 0.00065995613 0.00055212015 0.0009765625 0.0010930253 0.00066513225 0.0013199123 0.0056014312 0.05067428 0.0121940905 0.006647872 0.007912572 0.013373385 0.016977694 0.009647436 0.011591072 0.032868404 0.0035801542 0.0028347918 0.004370376 0.015009903 0.0038286082 0.013462242 0.030009456 0.07413421 0.022098608 0.010588629 0.015585316 0.021597387 0.028861217 0.016344482 0.021457631 0.049421653 0.004973395 0.006099202 0.0066064624 0.024719454 0.008440536 0.022450585 0.04647989 0.008533707 0.0045403256 0.004188349 0.004226307 0.005478067 0.0046007135 0.0043522594 0.004272892 0.0043660626 0.0040123607 0.0039959694 0.0040874146 0.004729254 0.004610203 0.004972532 0.0067720986 2821.0 14.399149 40620.0 0.031856228 0.0013540128 0.017651403 0.001009355 0.006646972 0.0012309208 0.001723289 0.0027080255 0.00497292 0.001427868 0.0009108813 0.0022895127 0.0063269325 0.0062776958 0.008345642 0.0054899063 0.028975874 0.014377154 0.012998523 0.0125553915 0.011989168 0.010856721 0.011053668 0.010462826 0.014549483 0.012776957 0.009871984 0.010388971 0.010512063 0.015509601 0.008493353 0.011152142 0.015632693 0.014007878 0.005292959 0.012407681 0.013810931 0.008247169 0.00930576 0.0078040375 0.0064500244 0.01070901 0.0016001969 0.002314131 0.007656327 0.003914328 0.005292959 0.0028311177 0.0117676025 0.0039635645 0.006819301 0.019842442 0.010856721 0.00465288 0.017774496 0.014106352 0.0057360907 0.0021171838 0.0015509601 0.0021171838 0.003618907 0.0014524865 0.002141802 0.00713934 0.0038404728 0.026760217 0.0064007877 0.019202363 0.014106352 0.051797144 0.0065484983 0.011742984 0.011398326 0.030477596 0.005169867 0.0040620384 0.024741506 0.013096997 0.025898572 0.031117676 0.014967996 0.0015509601 0.027843427 0.02095027 0.046799608 0.014475628 0.00497292 0.005169867 0.007114722 0.008271787 0.002141802 0.0020433285 0.0031511572 0.0015263417 0.0011816839 0.0017971443 6.083206 1.0 38.0 0.0 4.0 581216.0 593920.0 1.0 15.0 338.0 1.0 1.0 1.0 0.0 0.0 1520626300.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 346624.0 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 80896.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -16384.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -346624.0 0.0 89600.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.3096156 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.054833 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.654387 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.661125 0.0 6.7380905 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -32164.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 80559.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -32928.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -346256.0 0.0 89204.0 0.0 0.0 0.0 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 -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 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 -1.0 0.0 1.0 0.0 -1.0 1.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -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 -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 1.0 2.0 -2.0 0.0 0.0 1.0 0.0 2.0 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 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 2.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -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 -2.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 -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 1.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 2.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 -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 2.0 0.0 -1.0 2.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 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 -1.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -2.0 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 -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 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 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 -2.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 -1.0 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 0.0 1.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -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 1.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 1.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 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 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 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 1.0 0.0 0.0 -1.0 -1.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -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 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 -2.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 -2.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 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 -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 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 -1.0 -2.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 -1.0 1.0 -1.0 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 1.0 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 -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 0.0 -2.0 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 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 -1.0 -1.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 -1.0 0.0 0.0 0.0 0.0 -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 1.0 0.0 -1.0 0.0 -3.0 -2.0 0.0 -1.0 0.0 0.0 -1.0 0.0 -1.0 1.0 1.0 0.0 -1.0 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 -1.0 0.0 1.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 559.0 432256.0 280.0 424564.0 89204.0 471040.0 0.0 0.0 13768.0 567448.0 21780.0 561152.0 28.0 353840.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 396080.0 0.0 0.0 1404.0 352256.0 0.0 0.0 0.0 0.0


Input: 0.17382382 0.011681782 0.005535292 0.004657926 0.013888752 0.004895135 0.0019408024 0.002666601 0.017066123 0.0026271688 0.0023536081 0.0012932522 0.008708349 0.0023252661 0.0010147624 0.019123374 0.0048051802 0.0009100207 0.0008570337 0.00060318905 0.0029062747 0.0016204161 0.0008484079 0.00079110806 0.0035008378 0.00061427936 0.00072271784 0.0007504436 0.0020430796 0.0013499359 0.00075598876 0.000511386 0.0056443466 0.00052740535 0.0006506309 0.0006506309 0.0013591779 0.0025618593 0.00069129537 0.0009586948 0.0015828322 0.00063153094 0.00077324035 0.0013468553 0.0013012618 0.00073627266 0.0008477918 0.00043313781 0.0046172612 0.0048858933 0.0050189765 0.012461184 0.005357847 0.0048883576 0.004818735 0.004818735 0.0054662856 0.0055383723 0.0014651518 0.0019075315 0.0016536869 0.0017578125 0.0011071815 0.0009876528 0.01107428 0.004392375 0.00094945286 0.001374581 0.0020812796 0.05413237 0.0007461307 0.00068636634 0.004831058 0.0015834484 0.0005415763 0.00062721805 0.0018526962 0.0070774597 0.0015791354 0.0012304072 0.020626726 0.0014047713 0.0017245417 0.0041736495 0.0024189176 0.008171086 0.0037349665 0.0046037068 0.0029752809 0.00064446963 0.0005126183 0.0026056042 0.00095314963 0.0004306733 0.0027405364 0.00273992 0.0012322555 0.001311736 0.00054034404 0.00086935627 0.0018927444 0.0020775828 0.0100287115 0.00051015377 0.0052210665 0.00094698835 0.00654759 0.0003992508 0.0013955294 0.0007960371 0.0011546235 0.0011182718 0.0013431585 0.0005212441 0.001378894 0.001972225 0.0017559641 0.0006352277 0.00084471115 0.00045839907 0.0019013702 0.00055574725 0.00033332512 0.0003000542 0.00068205345 0.003969095 0.00030683161 0.00045655068 0.0054132985 0.0027719587 0.0005021441 0.024966113 0.008692331 0.01688683 0.00061366323 0.00060565356 0.005522353 0.014994701 0.0057718847 0.059178457 0.0010332463 0.0059536425 0.0008785982 0.00072086946 0.000892153 0.00032100256 0.0002951252 0.00024521883 0.0007418178 0.00027171234 0.0004282088 0.00022488664 0.00082745956 0.00058408914 0.0002926607 0.00025630914 0.0009241916 0.00025261237 0.00027356073 0.00034687994 0.0013080392 0.0029808262 0.00037337342 0.0009895011 0.0009833399 0.000255693 0.00031176064 0.00025138012 0.0012458103 0.00027602524 0.0015846806 0.00022118987 0.0010190753 0.0003240832 0.00035612183 0.00028711554 0.00089708203 0.0002489156 0.00058840204 0.0005175473 0.0008545692 0.000279722 0.00050522474 0.000332709 0.0018835026 0.00044730876 0.0003770702 0.00034687994 0.00089954655 0.0008397821 0.0008323886 0.0031256161 0.0076806485 0.002536598 0.0007738565 0.002560627 0.014133355 0.00028095426 0.0018126479 0.0048476933 0.0014318809 0.008371944 0.00061366323 0.00026493493 0.014148758 0.00028773167 0.00028773167 0.00028095426 0.0013610262 0.00040417982 0.001003056 0.00040109918 0.0018206575 0.0003413348 0.00039801854 0.00027479298 0.0024410982 0.00030744774 0.00033394125 0.0003154574 0.0021398116 0.00052494084 0.00031484128 0.00038877662 0.0025113367 0.00081082416 0.0004374507 0.00044669263 0.0024355531 0.00025692527 0.00029389295 0.00023782531 0.018348284 0.011133429 0.00033209287 0.0002710962 0.008322038 0.00032223482 0.00042882492 0.00046887322 0.004965374 0.00063399546 0.0007066985 0.00074674684 0.006442232 0.00068883086 0.0025452238 0.0012569006 0.0090515325 0.0016136386 0.0009901173 0.0009482206 0.011270209 0.0020091927 0.005319647 0.049924217 0.0021266744 0.0 1.8495502e-06 0.034470066 1.0789043e-05 6.781684e-06 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.8495502e-05 0.0 1.8495502e-06 0.00059709646 3.0825836e-07 6.1651673e-07 1.10973015e-05 1.8495502e-06 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0011633671 8.631234e-06 2.4660669e-05 8.939493e-06 1.2638593e-05 1.4179885e-05 6.781684e-06 5.240392e-06 2.1578085e-06 6.165167e-06 1.8495502e-06 1.5412918e-06 1.5412918e-06 1.2330335e-06 1.5412918e-06 2.1578085e-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 0.0005567146 7.398201e-06 4.685527e-05 0.00050646847 5.486999e-05 4.0073588e-05 3.1442352e-05 1.7570726e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.2330335e-06 0.002473157 1.6337694e-05 1.9112018e-05 3.5141453e-05 0.00016645952 0.00013964104 3.0825835e-05 2.3427636e-05 4.901308e-05 3.5141453e-05 1.5412917e-05 1.8495502e-05 6.3501226e-05 3.4524935e-05 1.2022077e-05 2.435241e-05 0.0028578632 4.531398e-05 5.7336056e-05 3.421668e-05 0.0010175608 0.0006664546 5.3945212e-05 4.4389206e-05 2.620196e-05 3.6374488e-05 2.065331e-05 2.805151e-05 2.1886344e-05 7.644807e-05 2.2811118e-05 4.0998362e-05 0.0063202213 6.966639e-05 0.00045098198 0.00011652166 0.0016575052 0.0011982003 0.00055486505 0.00039518723 0.0006568986 4.500572e-05 3.2983644e-05 3.7607522e-05 4.2847914e-05 3.6991005e-05 5.4253473e-05 0.00032521258 0.0063143643 0.0001495053 0.0006957391 0.00051109237 0.0010064635 0.0010317408 0.0009947497 0.00066984544 0.000571511 4.716353e-05 6.658381e-05 3.9148814e-05 6.658381e-05 3.1750613e-05 5.7952573e-05 0.00037206785 0.0063775573 0.00028174816 0.0013020834 0.0005795257 0.0019099688 0.0015866058 0.0025366582 0.0015597873 0.00031966393 0.00010912346 8.816189e-05 6.627555e-05 7.120768e-05 4.685527e-05 7.336549e-05 0.00013686671 0.006751475 0.00020005967 0.0031075526 0.0008298315 0.003621111 0.002311013 0.0031577987 0.0020739622 0.00026695174 0.00012669418 0.00012237857 8.415453e-05 0.00019851839 6.627555e-05 0.00015813654 0.00028267293 0.012716582 0.0014907374 0.0020357382 0.012769603 0.0040976782 0.002698802 0.0023221103 0.0015616369 0.005286631 0.00086466473 0.00093987974 0.0010539354 0.0022052804 0.0010493115 0.0019025706 0.0038230203 0.1652308 0.014848497 0.008953056 0.011760057 0.058180682 0.034022167 0.017505685 0.007773968 0.10736978 0.0037946606 0.007082236 0.007572367 0.040224943 0.0075301356 0.03162022 0.06807116 0.06013874 0.006460479 0.003936151 0.004540954 0.023006864 0.0167523 0.008801085 0.0032459607 0.0400218 0.0020961568 0.0043899072 0.004064695 0.017421221 0.0038920701 0.013165099 0.026071567 0.00016892559 1.4488143e-05 6.720032e-05 2.8976287e-05 6.843336e-05 2.4968927e-05 4.3464428e-05 4.6547015e-05 3.1442352e-05 2.065331e-05 1.4796402e-05 1.6337694e-05 3.1442352e-05 1.2638593e-05 1.8187244e-05 2.2811118e-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 6882.0 19.059431 131167.0 0.044957954 0.0007395153 0.0014027918 0.0006785243 0.0008005062 0.008897055 0.00044980826 0.0036823286 0.0018373524 0.0015019021 0.0029580612 0.0004193128 0.0037052003 0.0026683542 0.004147385 0.00096823135 0.03911807 0.05062249 0.050950315 0.050668232 0.05101893 0.049768616 0.049943965 0.04985248 0.050652985 0.050713975 0.0072884187 0.0041931276 0.0043913485 0.007944072 0.0039339163 0.0035298513 0.0026836018 0.013722964 0.004696303 0.012259181 0.009484093 0.020805538 0.0041626324 0.0036289615 0.0043074857 0.00839388 0.0011893235 0.002607363 0.012579383 0.007570502 0.010742031 0.010650544 0.007540006 0.003430741 0.014782682 0.01921215 0.016093988 0.0059161223 0.0051308637 0.0038653014 0.0027445927 0.003773815 0.00093773584 0.0011512042 0.002836079 0.0006175334 0.0011359565 0.0024167665 0.0010597177 0.01192373 0.0026912256 0.0073265377 0.00896567 0.021209603 0.0036975765 0.002851327 0.0044523394 0.0079898145 0.0019288388 0.0016315079 0.008203283 0.0051994785 0.010055883 0.010322718 0.0043227337 0.0010292223 0.012983449 0.0165133 0.013105431 0.004071146 0.001913591 0.0023405277 0.0020965638 0.0033011353 0.00074713916 0.00032782636 0.00079288235 0.00050317537 0.0005336708 0.00043456053 5.5590596 0.0 0.0 0.0 2.0 1623040.0 1650688.0 0.0 0.0 264.0 1.0 1.0 0.0 0.0 0.0 1023117000.0 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 3.0 10.0 4.0 0.0 4.0 0.0 1381376.0 1024.0 4096.0 8.0 0.0 0.0 3.0 2.0 0.0 0.0 0.0 0.0 0.0 -41472.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -176128.0 0.0 0.0 0.0 0.0 0.0 0.0 -512.0 0.0 -1380352.0 -7168.0 14848.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.6915073 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.912708 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.3763113 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.9179087 -9.916478 4.053478 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -41386.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1036.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -184116.0 0.0 0.0 0.0 0.0 0.0 0.0 -13.0 0.0 -1380312.0 -6427.0 14536.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 -1.0 0.0 -1.0 -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 -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 0.0 1.0 -1.0 1.0 -1.0 -2.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 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 0.0 0.0 1.0 1.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 -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 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 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 -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 -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 -1.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 1.0 0.0 -1.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 -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 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 -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 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 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 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 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 -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 1.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 1.0 -1.0 0.0 0.0 1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 -1.0 0.0 -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 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 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 2.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 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 -1.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 1.0 -1.0 0.0 0.0 0.0 -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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 2.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -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 -1.0 -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 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 0.0 1.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 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 0.0 0.0 0.0 0.0 -1.0 -2.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 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 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 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 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 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1581056.0 14536.0 1589248.0 0.0 0.0 0.0 0.0 40276.0 1605632.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1088.0 1582324.0 0.0 0.0 0.0 0.0


Input: 0.2213249 0.008063229 0.008954007 0.006159819 0.009592678 0.0033362187 0.0026891434 0.0023361933 0.008672488 0.0017311361 0.0022101398 0.0015000378 0.006058976 0.002067279 0.0011092717 0.005907712 0.007130432 0.0010126305 0.00071850553 0.0005336269 0.0044370866 0.0026555292 0.0010336395 0.00049160904 0.0039118635 0.0009075859 0.00046219653 0.00074791803 0.0020630772 0.00067648763 0.00088237517 0.0012563342 0.015046597 0.0007563216 0.003403447 0.00089498056 0.016302932 0.00082775194 0.00055043405 0.0011596931 0.0021933326 0.0009201913 0.0004453894 0.0021975343 0.001319361 0.0007815323 0.00157567 0.0004748019 0.006596805 0.0019160147 0.0026597308 0.005638798 0.0016218896 0.0014706253 0.001025236 0.0007689269 0.0022185433 0.0027101524 0.0018487861 0.004886678 0.0013529753 0.0010168323 0.00056724116 0.0041051456 0.01385329 0.0047522206 0.011227174 0.0048110457 0.007857341 0.007857341 0.0031975596 0.0016092843 0.002382413 0.0037984152 0.00079413765 0.00086976984 0.004033715 0.0042900243 0.0025756953 0.0012857467 0.008227098 0.003953881 0.0041513653 0.0061682225 0.0031135238 0.0039916974 0.006668235 0.003916065 0.0018613915 0.0035547114 0.0012899485 0.0017353379 0.0024328344 0.0032353757 0.0030378918 0.0046555796 0.0011092717 0.009252334 0.0017353379 0.0055379546 0.006718657 0.013416304 0.0034496668 0.003029488 0.0056429994 0.0086598825 0.0044454904 0.0008151466 0.0064371373 0.0021975343 0.007811121 0.0087019 0.0039748903 0.00055463583 0.01333647 0.0100632785 0.020336647 0.011710379 0.0024664488 0.0027395647 0.0022227452 0.0016260914 0.00074791803 0.00035715188 0.0018277771 0.002302579 0.0012815449 0.0011680967 0.004365656 0.0021050952 0.0005588376 0.013214619 0.0036471507 0.0071262303 0.0006050573 0.00046219653 0.0039748903 0.009273343 0.0021387094 0.026660336 0.0017227326 0.009731337 0.0005042144 0.0012899485 0.0010882628 0.0002521072 0.00047900368 0.00059665367 0.0010420431 0.0006470751 0.00033194115 0.00020588754 0.0007857341 0.00035715188 0.0003109322 0.0002479054 0.00074791803 0.00045799473 0.00021008933 0.00023109827 0.00060925906 0.0014706253 0.00029412506 0.00074371626 0.0007815323 0.0006008555 0.00032353756 0.00038656438 0.0008487609 0.00021008933 0.000256309 0.0003487483 0.0006932948 0.00026471255 0.00030673042 0.00023950184 0.00077733054 0.00022689647 0.00033614293 0.0002815197 0.0006554787 0.0006680841 0.00082775194 0.00086556806 0.0016386968 0.00051681977 0.0003781608 0.000315134 0.000689093 0.00071430375 0.0007563216 0.0005252233 0.006596805 0.002911838 0.0027605738 0.0041429615 0.0048908796 0.00085296266 0.0034958865 0.0042984276 0.0026219147 0.0018277771 0.00084035733 0.0006806894 0.013706228 0.0005336269 0.0011386842 0.00064287335 0.0014748271 0.0009916216 0.00096220913 0.00088237517 0.0007689269 0.0006260662 0.0008487609 0.00067228585 0.0015882753 0.00044959117 0.0004159769 0.0010588502 0.0008487609 0.00039076616 0.00042438044 0.00037395902 0.0024538434 0.001201711 0.00055463583 0.0003403447 0.0021092969 0.0008739716 0.00055043405 0.0004958108 0.013622192 0.0032311738 0.00041177508 0.004706001 0.003012681 0.00048320545 0.00042017867 0.00044959117 0.0028446096 0.001121877 0.0003403447 0.00096220913 0.00157567 0.00031933578 0.002029463 0.0017773557 0.003962285 0.00228157 0.0011344823 0.0018824004 0.003407649 0.0031177257 0.0034370613 0.043492693 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0037181242 6.341315e-05 2.3251489e-05 1.268263e-05 0.00012471253 9.089218e-05 4.016166e-05 2.9592804e-05 3.1706575e-05 8.455087e-06 3.5934117e-05 1.6910173e-05 1.9023944e-05 2.3251489e-05 3.1706575e-05 5.9185608e-05 0.010494877 0.00025788014 0.00019023944 6.341315e-05 0.00040161662 0.0002092634 0.00028113162 0.00016487419 0.00013528139 6.1299375e-05 9.9347264e-05 6.552692e-05 6.341315e-05 0.000107802356 0.00020503585 0.00018601191 0.0033376454 8.2437095e-05 4.016166e-05 3.1706575e-05 6.764069e-05 4.6502977e-05 4.016166e-05 3.5934117e-05 5.073052e-05 2.536526e-05 3.804789e-05 6.341315e-05 4.4389206e-05 6.1299375e-05 0.00030226936 6.1299375e-05 0.029990193 0.00045657466 0.0035765017 0.00039104777 0.0019214185 0.00049885013 0.006144734 0.004100717 0.00068908953 0.00030226936 0.00012471253 0.0001268263 0.00016698796 0.00020080831 0.00045234713 0.002804975 0.040282145 0.0004777124 0.0054366207 0.0034306513 0.003747717 0.0022427116 0.008590368 0.006303267 0.002815544 0.00030015557 0.00027056277 0.00012471253 0.0002451975 0.00016487419 0.00020292208 0.003286915 0.039383795 0.0006637243 0.007620147 0.0056332015 0.018675173 0.008235254 0.033101663 0.020205542 0.0013760653 0.00047982615 0.00036145496 0.00028535916 0.00049462257 0.00034454477 0.00036779625 0.0012999696 0.0189098 0.0003276346 0.0030670827 0.0021814124 0.0054831235 0.0027859511 0.012084433 0.006924716 0.0010040415 0.00032340706 0.00040795794 0.00043543696 0.0007947781 0.00035511365 0.0005157603 0.00067640695 0.015405168 0.00052421534 0.0023293763 0.0023484002 0.0028747295 0.002010197 0.007506003 0.0042507946 0.0010991612 0.0005009639 0.0007694129 0.0006869758 0.0011097301 0.00054112554 0.0005284429 0.000805347 0.010310978 0.0005516944 0.0018474364 0.0017988196 0.002490023 0.0017544305 0.0046946867 0.003434879 0.0037815375 0.0006045387 0.0007461614 0.0010547721 0.0018389813 0.0008476224 0.0014331372 0.006100345 0.06997007 0.014496246 0.015724348 0.0125283245 0.021260316 0.024466908 0.009372463 0.014978186 0.04389881 0.003035376 0.002990987 0.0038639745 0.029083384 0.004848992 0.015107126 0.030391809 0.047914974 0.011164942 0.009110356 0.011805414 0.018254532 0.019748969 0.007081135 0.016445143 0.033027682 0.0023462866 0.002564005 0.003489837 0.018381359 0.005358411 0.015935725 0.02845348 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1320.0 23.503788 31025.0 0.023690572 0.00048348107 0.015052377 0.0003223207 0.021885576 0.0018372281 0.0003545528 0.0030298147 0.0017082997 0.00074133766 0.00029008865 0.0005157131 0.0014182111 0.0019016921 0.0025141016 0.0003545528 0.011120064 0.0042546336 0.009895246 0.0019016921 0.0012570508 0.0011603546 0.0014504432 0.0007091056 0.0021273168 0.0020950846 0.004448026 0.004609186 0.00096696214 0.00038678484 0.00045124898 0.025173247 0.079194196 0.019049155 0.0087993555 0.012344883 0.02394843 0.012538276 0.0029975825 0.0033521354 0.005382756 0.014182111 0.00048348107 0.0033843673 0.0042868652 0.0029653506 0.0074456083 0.0017727639 0.011248993 0.008702659 0.007284448 0.0238195 0.0048348107 0.0075100726 0.018597905 0.006414182 0.0026107978 0.0020950846 0.0067687347 0.0014504432 0.0036744562 0.0012892828 0.0015793715 0.019016922 0.0015793715 0.044609185 0.0070588235 0.030684931 0.020983078 0.04248187 0.005898469 0.014601128 0.010668815 0.03951652 0.0012248186 0.0017405319 0.0255278 0.004995971 0.029814666 0.03390814 0.010088638 0.0003223207 0.053440772 0.04357776 0.067945205 0.009895246 0.0035132957 0.006317486 0.0034165995 0.005962933 0.00093473005 0.00016116035 0.00029008865 0.0003545528 0.0006768735 0.0006768735 5.5268 2.0 0.0 12.0 3.0 237994.0 352256.0 0.0 206.0 164.0 0.0 1.0 0.0 0.0 0.0 1269620700.0 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 138240.0 1024.0 4096.0 4.0 0.0 0.0 2.0 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 42496.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5632.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -138240.0 0.0 145920.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.7026696 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3.363204 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.641455 0.0 4.164042 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 42476.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -16032.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -137740.0 0.0 147456.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 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 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 0.0 0.0 0.0 -1.0 1.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 1.0 -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 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -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 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 -2.0 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 2.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 -1.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 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 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 2.0 -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 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 -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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 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 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 1.0 1.0 1.0 -2.0 0.0 -2.0 2.0 0.0 0.0 0.0 -1.0 -2.0 1.0 1.0 1.0 0.0 0.0 1.0 0.0 -1.0 1.0 -2.0 1.0 0.0 -1.0 -1.0 0.0 0.0 -1.0 2.0 -2.0 -1.0 1.0 1.0 0.0 -3.0 -1.0 1.0 0.0 2.0 2.0 -2.0 -1.0 -1.0 -1.0 1.0 0.0 0.0 -2.0 -1.0 -1.0 0.0 0.0 -1.0 1.0 1.0 0.0 0.0 -1.0 0.0 -1.0 0.0 2.0 1.0 1.0 0.0 0.0 -2.0 0.0 -1.0 -3.0 0.0 0.0 1.0 0.0 1.0 -1.0 -2.0 0.0 0.0 -1.0 -1.0 -1.0 -1.0 -2.0 0.0 -2.0 2.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 -3.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 1.0 -1.0 -2.0 0.0 0.0 -2.0 1.0 -1.0 1.0 -1.0 -2.0 -1.0 0.0 -1.0 1.0 1.0 2.0 -2.0 2.0 0.0 1.0 0.0 17612.0 168224.0 140.0 164404.0 67996.0 204800.0 0.0 0.0 6856.0 255488.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 158520.0 0.0 0.0 680.0 143360.0 0.0 0.0 0.0 0.0


Input: 0.272046 0.022141792 0.005663189 0.0053651268 0.012476048 0.003661912 0.0030232063 0.004726421 0.013412816 0.0027251437 0.0013625718 0.0011922504 0.010134128 0.0025974025 0.0011922504 0.004130296 0.0054502874 0.0013199915 0.0012348307 0.001830956 0.00459868 0.010517351 0.00038322332 0.0004258037 0.0023845008 0.0002980626 0.0006812859 0.0005109644 0.0014477326 0.00063870556 0.00046838407 0.00076644664 0.0015328933 0.0002980626 0.00038322332 0.0008941878 0.0045135194 0.0011922504 0.00034064296 0.0005109644 0.0012348307 0.00034064296 0.0005109644 0.0007238663 0.00080902706 0.0007238663 0.00076644664 0.0002554822 0.0011922504 0.0005961252 0.0002980626 0.005663189 0.00080902706 0.0033638494 0.0007238663 0.00055354484 0.0012348307 0.0021715988 0.0001277411 0.004854162 0.0004258037 0.0013199915 0.00021290185 0.00034064296 0.0052373856 0.0024696614 0.024824357 0.0008516074 0.0033638494 0.015669577 0.0032786885 0.0005961252 0.002639983 0.00034064296 0.00021290185 0.00046838407 0.0011922504 0.0057909302 0.0014477326 0.0005961252 0.018139238 0.0031509474 0.002639983 0.010219289 0.0012774111 0.0032786885 0.01030445 0.008175431 0.0019161167 0.0065147965 0.0002980626 0.001958697 0.0006812859 0.004854162 0.005194805 0.0021715988 0.0010645093 0.0005109644 0.00021290185 0.00021290185 0.0022141794 0.0016180541 0.00229934 0.00021290185 0.010815414 0.0004258037 0.01030445 0.00021290185 0.0022141794 0.00017032148 0.0004258037 0.0002980626 0.0020864382 0.00034064296 0.00055354484 0.00038322332 0.015797317 0.014817969 0.0016180541 0.0005961252 0.0014477326 0.0008941878 8.516074e-05 0.00021290185 0.0016606344 0.002639983 0.0018735363 0.00063870556 0.0059186714 0.0022141794 0.0001277411 0.009665744 0.0021290185 0.011752183 0.0007238663 0.0010219289 0.0028528848 0.011922504 0.00063870556 0.030104322 0.00080902706 0.018181818 0.00034064296 0.00038322332 0.0012348307 4.258037e-05 0.0001277411 0.0002980626 0.0012348307 0.0010219289 0.00021290185 0.0002980626 0.0010219289 0.0001277411 0.00021290185 8.516074e-05 0.0008941878 0.0013199915 0.00038322332 0.0 0.0008941878 0.00063870556 4.258037e-05 0.00076644664 0.0017883755 0.00021290185 0.0002554822 4.258037e-05 0.0005109644 4.258037e-05 0.0014477326 0.002427081 0.0014477326 0.0001277411 0.00038322332 4.258037e-05 0.0010645093 0.0 4.258037e-05 0.0007238663 0.0012774111 0.00021290185 0.00021290185 0.0014051523 0.0023419203 0.0005961252 0.00017032148 0.00021290185 0.00080902706 0.0020012774 0.0008941878 0.0006812859 0.010048968 0.0013625718 0.0032361082 0.0067276987 0.0032361082 0.0001277411 0.0035341708 0.006770279 0.001958697 0.0023845008 0.0007238663 0.00080902706 0.0014477326 0.00038322332 0.0013625718 0.00093676813 0.0016180541 0.0004258037 0.00017032148 0.00055354484 0.0022141794 0.0007238663 0.0022567597 0.00114967 0.0022141794 0.0002554822 8.516074e-05 0.001958697 0.0015754737 4.258037e-05 0.00034064296 0.00038322332 0.0012348307 0.0004258037 0.0001277411 0.00055354484 0.0020438577 0.0005961252 8.516074e-05 0.0002980626 0.023376623 0.0032361082 0.0001277411 0.0043006176 0.006301895 0.0007238663 0.00021290185 0.00017032148 0.0037044922 0.0023845008 0.0016606344 0.0017883755 0.0023419203 0.00046838407 0.0025974025 0.0012348307 0.004002555 0.0010645093 0.0013199915 0.0020012774 0.0065147965 0.00093676813 0.0027251437 0.06306153 0.0952381 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.041945685 0.00069754466 0.0009765625 0.00011625744 0.00051153277 0.00025576638 0.000953311 0.0008370536 2.3251489e-05 0.00016276042 2.3251489e-05 0.00013950893 0.00011625744 6.975447e-05 4.6502977e-05 0.00074404763 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.03157552 0.000999814 0.0005812872 0.00032552084 0.002139137 0.0021623883 0.0010695684 0.0012788319 0.0026739212 0.00011625744 0.00013950893 0.00025576638 0.0011858259 0.00030226936 0.00088355655 0.0019298735 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.17064267 0.025553385 0.011044457 0.018554688 0.054152716 0.06694104 0.024390811 0.037853424 0.07838076 0.0059291297 0.0076962425 0.009858631 0.035388764 0.0107421875 0.036318824 0.073218934 0.03031994 0.006161644 0.0023949032 0.0053710938 0.012346541 0.013671875 0.0057896203 0.007672991 0.017926898 0.0014648438 0.0020228794 0.0018368675 0.0077427453 0.0034179688 0.007835751 0.016880581 0.0 0.0 0.0 0.0 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 7.5833335 182.0 0.03846154 0.0054945056 0.0 0.010989011 0.0 0.0054945056 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0054945056 0.027472528 0.0 0.010989011 0.0054945056 0.0 0.0 0.0054945056 0.0054945056 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.010989011 0.010989011 0.032967035 0.0054945056 0.032967035 0.0 0.0 0.0 0.032967035 0.0 0.0 0.0 0.0054945056 0.0 0.0 0.010989011 0.021978023 0.0054945056 0.0054945056 0.14835165 0.0054945056 0.0054945056 0.043956045 0.016483517 0.010989011 0.0054945056 0.0 0.016483517 0.0 0.016483517 0.016483517 0.016483517 0.0054945056 0.032967035 0.0054945056 0.010989011 0.016483517 0.016483517 0.0 0.0054945056 0.071428575 0.010989011 0.0054945056 0.0 0.0 0.010989011 0.021978023 0.016483517 0.021978023 0.0 0.032967035 0.010989011 0.06593407 0.021978023 0.0 0.0054945056 0.010989011 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.066276 0.0 0.0 0.0 1.0 23485.0 233472.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1024943000.0 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 126976.0 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 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 -20480.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -126976.0 0.0 49152.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.2996573 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 14832.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -35480.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -124058.0 0.0 47384.0 0.0 0.0 0.0 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 0.0 200.0 140064.0 47384.0 184320.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1088.0 131072.0 0.0 0.0 0.0 0.0