edit this statistic or download as text // json
Identifier
Values
=>
Cc0005;cc-rep
[1,0]=>2 [1,0,1,0]=>6 [1,1,0,0]=>4 [1,0,1,0,1,0]=>20 [1,0,1,1,0,0]=>16 [1,1,0,0,1,0]=>14 [1,1,0,1,0,0]=>12 [1,1,1,0,0,0]=>8 [1,0,1,0,1,0,1,0]=>70 [1,0,1,0,1,1,0,0]=>60 [1,0,1,1,0,0,1,0]=>58 [1,0,1,1,0,1,0,0]=>52 [1,0,1,1,1,0,0,0]=>40 [1,1,0,0,1,0,1,0]=>50 [1,1,0,0,1,1,0,0]=>44 [1,1,0,1,0,0,1,0]=>44 [1,1,0,1,0,1,0,0]=>40 [1,1,0,1,1,0,0,0]=>32 [1,1,1,0,0,0,1,0]=>30 [1,1,1,0,0,1,0,0]=>28 [1,1,1,0,1,0,0,0]=>24 [1,1,1,1,0,0,0,0]=>16 [1,0,1,0,1,0,1,0,1,0]=>252 [1,0,1,0,1,0,1,1,0,0]=>224 [1,0,1,0,1,1,0,0,1,0]=>222 [1,0,1,0,1,1,0,1,0,0]=>204 [1,0,1,0,1,1,1,0,0,0]=>168 [1,0,1,1,0,0,1,0,1,0]=>212 [1,0,1,1,0,0,1,1,0,0]=>192 [1,0,1,1,0,1,0,0,1,0]=>194 [1,0,1,1,0,1,0,1,0,0]=>180 [1,0,1,1,0,1,1,0,0,0]=>152 [1,0,1,1,1,0,0,0,1,0]=>152 [1,0,1,1,1,0,0,1,0,0]=>144 [1,0,1,1,1,0,1,0,0,0]=>128 [1,0,1,1,1,1,0,0,0,0]=>96 [1,1,0,0,1,0,1,0,1,0]=>182 [1,1,0,0,1,0,1,1,0,0]=>164 [1,1,0,0,1,1,0,0,1,0]=>164 [1,1,0,0,1,1,0,1,0,0]=>152 [1,1,0,0,1,1,1,0,0,0]=>128 [1,1,0,1,0,0,1,0,1,0]=>162 [1,1,0,1,0,0,1,1,0,0]=>148 [1,1,0,1,0,1,0,0,1,0]=>150 [1,1,0,1,0,1,0,1,0,0]=>140 [1,1,0,1,0,1,1,0,0,0]=>120 [1,1,0,1,1,0,0,0,1,0]=>122 [1,1,0,1,1,0,0,1,0,0]=>116 [1,1,0,1,1,0,1,0,0,0]=>104 [1,1,0,1,1,1,0,0,0,0]=>80 [1,1,1,0,0,0,1,0,1,0]=>112 [1,1,1,0,0,0,1,1,0,0]=>104 [1,1,1,0,0,1,0,0,1,0]=>106 [1,1,1,0,0,1,0,1,0,0]=>100 [1,1,1,0,0,1,1,0,0,0]=>88 [1,1,1,0,1,0,0,0,1,0]=>92 [1,1,1,0,1,0,0,1,0,0]=>88 [1,1,1,0,1,0,1,0,0,0]=>80 [1,1,1,0,1,1,0,0,0,0]=>64 [1,1,1,1,0,0,0,0,1,0]=>62 [1,1,1,1,0,0,0,1,0,0]=>60 [1,1,1,1,0,0,1,0,0,0]=>56 [1,1,1,1,0,1,0,0,0,0]=>48 [1,1,1,1,1,0,0,0,0,0]=>32 [1,0,1,0,1,0,1,0,1,0,1,0]=>924 [1,0,1,0,1,0,1,0,1,1,0,0]=>840 [1,0,1,0,1,0,1,1,0,0,1,0]=>840 [1,0,1,0,1,0,1,1,0,1,0,0]=>784 [1,0,1,0,1,0,1,1,1,0,0,0]=>672 [1,0,1,0,1,1,0,0,1,0,1,0]=>824 [1,0,1,0,1,1,0,0,1,1,0,0]=>760 [1,0,1,0,1,1,0,1,0,0,1,0]=>770 [1,0,1,0,1,1,0,1,0,1,0,0]=>724 [1,0,1,0,1,1,0,1,1,0,0,0]=>632 [1,0,1,0,1,1,1,0,0,0,1,0]=>644 [1,0,1,0,1,1,1,0,0,1,0,0]=>616 [1,0,1,0,1,1,1,0,1,0,0,0]=>560 [1,0,1,0,1,1,1,1,0,0,0,0]=>448 [1,0,1,1,0,0,1,0,1,0,1,0]=>784 [1,0,1,1,0,0,1,0,1,1,0,0]=>720 [1,0,1,1,0,0,1,1,0,0,1,0]=>724 [1,0,1,1,0,0,1,1,0,1,0,0]=>680 [1,0,1,1,0,0,1,1,1,0,0,0]=>592 [1,0,1,1,0,1,0,0,1,0,1,0]=>724 [1,0,1,1,0,1,0,0,1,1,0,0]=>672 [1,0,1,1,0,1,0,1,0,0,1,0]=>682 [1,0,1,1,0,1,0,1,0,1,0,0]=>644 [1,0,1,1,0,1,0,1,1,0,0,0]=>568 [1,0,1,1,0,1,1,0,0,0,1,0]=>584 [1,0,1,1,0,1,1,0,0,1,0,0]=>560 [1,0,1,1,0,1,1,0,1,0,0,0]=>512 [1,0,1,1,0,1,1,1,0,0,0,0]=>416 [1,0,1,1,1,0,0,0,1,0,1,0]=>574 [1,0,1,1,1,0,0,0,1,1,0,0]=>540 [1,0,1,1,1,0,0,1,0,0,1,0]=>550 [1,0,1,1,1,0,0,1,0,1,0,0]=>524 [1,0,1,1,1,0,0,1,1,0,0,0]=>472 [1,0,1,1,1,0,1,0,0,0,1,0]=>494 [1,0,1,1,1,0,1,0,0,1,0,0]=>476 [1,0,1,1,1,0,1,0,1,0,0,0]=>440 [1,0,1,1,1,0,1,1,0,0,0,0]=>368 [1,0,1,1,1,1,0,0,0,0,1,0]=>374 [1,0,1,1,1,1,0,0,0,1,0,0]=>364 [1,0,1,1,1,1,0,0,1,0,0,0]=>344 [1,0,1,1,1,1,0,1,0,0,0,0]=>304 [1,0,1,1,1,1,1,0,0,0,0,0]=>224 [1,1,0,0,1,0,1,0,1,0,1,0]=>672 [1,1,0,0,1,0,1,0,1,1,0,0]=>616 [1,1,0,0,1,0,1,1,0,0,1,0]=>618 [1,1,0,0,1,0,1,1,0,1,0,0]=>580 [1,1,0,0,1,0,1,1,1,0,0,0]=>504 [1,1,0,0,1,1,0,0,1,0,1,0]=>612 [1,1,0,0,1,1,0,0,1,1,0,0]=>568 [1,1,0,0,1,1,0,1,0,0,1,0]=>576 [1,1,0,0,1,1,0,1,0,1,0,0]=>544 [1,1,0,0,1,1,0,1,1,0,0,0]=>480 [1,1,0,0,1,1,1,0,0,0,1,0]=>492 [1,1,0,0,1,1,1,0,0,1,0,0]=>472 [1,1,0,0,1,1,1,0,1,0,0,0]=>432 [1,1,0,0,1,1,1,1,0,0,0,0]=>352 [1,1,0,1,0,0,1,0,1,0,1,0]=>602 [1,1,0,1,0,0,1,0,1,1,0,0]=>556 [1,1,0,1,0,0,1,1,0,0,1,0]=>560 [1,1,0,1,0,0,1,1,0,1,0,0]=>528 [1,1,0,1,0,0,1,1,1,0,0,0]=>464 [1,1,0,1,0,1,0,0,1,0,1,0]=>562 [1,1,0,1,0,1,0,0,1,1,0,0]=>524 [1,1,0,1,0,1,0,1,0,0,1,0]=>532 [1,1,0,1,0,1,0,1,0,1,0,0]=>504 [1,1,0,1,0,1,0,1,1,0,0,0]=>448 [1,1,0,1,0,1,1,0,0,0,1,0]=>462 [1,1,0,1,0,1,1,0,0,1,0,0]=>444 [1,1,0,1,0,1,1,0,1,0,0,0]=>408 [1,1,0,1,0,1,1,1,0,0,0,0]=>336 [1,1,0,1,1,0,0,0,1,0,1,0]=>462 [1,1,0,1,1,0,0,0,1,1,0,0]=>436 [1,1,0,1,1,0,0,1,0,0,1,0]=>444 [1,1,0,1,1,0,0,1,0,1,0,0]=>424 [1,1,0,1,1,0,0,1,1,0,0,0]=>384 [1,1,0,1,1,0,1,0,0,0,1,0]=>402 [1,1,0,1,1,0,1,0,0,1,0,0]=>388 [1,1,0,1,1,0,1,0,1,0,0,0]=>360 [1,1,0,1,1,0,1,1,0,0,0,0]=>304 [1,1,0,1,1,1,0,0,0,0,1,0]=>312 [1,1,0,1,1,1,0,0,0,1,0,0]=>304 [1,1,0,1,1,1,0,0,1,0,0,0]=>288 [1,1,0,1,1,1,0,1,0,0,0,0]=>256 [1,1,0,1,1,1,1,0,0,0,0,0]=>192 [1,1,1,0,0,0,1,0,1,0,1,0]=>420 [1,1,1,0,0,0,1,0,1,1,0,0]=>392 [1,1,1,0,0,0,1,1,0,0,1,0]=>396 [1,1,1,0,0,0,1,1,0,1,0,0]=>376 [1,1,1,0,0,0,1,1,1,0,0,0]=>336 [1,1,1,0,0,1,0,0,1,0,1,0]=>400 [1,1,1,0,0,1,0,0,1,1,0,0]=>376 [1,1,1,0,0,1,0,1,0,0,1,0]=>382 [1,1,1,0,0,1,0,1,0,1,0,0]=>364 [1,1,1,0,0,1,0,1,1,0,0,0]=>328 [1,1,1,0,0,1,1,0,0,0,1,0]=>340 [1,1,1,0,0,1,1,0,0,1,0,0]=>328 [1,1,1,0,0,1,1,0,1,0,0,0]=>304 [1,1,1,0,0,1,1,1,0,0,0,0]=>256 [1,1,1,0,1,0,0,0,1,0,1,0]=>350 [1,1,1,0,1,0,0,0,1,1,0,0]=>332 [1,1,1,0,1,0,0,1,0,0,1,0]=>338 [1,1,1,0,1,0,0,1,0,1,0,0]=>324 [1,1,1,0,1,0,0,1,1,0,0,0]=>296 [1,1,1,0,1,0,1,0,0,0,1,0]=>310 [1,1,1,0,1,0,1,0,0,1,0,0]=>300 [1,1,1,0,1,0,1,0,1,0,0,0]=>280 [1,1,1,0,1,0,1,1,0,0,0,0]=>240 [1,1,1,0,1,1,0,0,0,0,1,0]=>250 [1,1,1,0,1,1,0,0,0,1,0,0]=>244 [1,1,1,0,1,1,0,0,1,0,0,0]=>232 [1,1,1,0,1,1,0,1,0,0,0,0]=>208 [1,1,1,0,1,1,1,0,0,0,0,0]=>160 [1,1,1,1,0,0,0,0,1,0,1,0]=>238 [1,1,1,1,0,0,0,0,1,1,0,0]=>228 [1,1,1,1,0,0,0,1,0,0,1,0]=>232 [1,1,1,1,0,0,0,1,0,1,0,0]=>224 [1,1,1,1,0,0,0,1,1,0,0,0]=>208 [1,1,1,1,0,0,1,0,0,0,1,0]=>218 [1,1,1,1,0,0,1,0,0,1,0,0]=>212 [1,1,1,1,0,0,1,0,1,0,0,0]=>200 [1,1,1,1,0,0,1,1,0,0,0,0]=>176 [1,1,1,1,0,1,0,0,0,0,1,0]=>188 [1,1,1,1,0,1,0,0,0,1,0,0]=>184 [1,1,1,1,0,1,0,0,1,0,0,0]=>176 [1,1,1,1,0,1,0,1,0,0,0,0]=>160 [1,1,1,1,0,1,1,0,0,0,0,0]=>128 [1,1,1,1,1,0,0,0,0,0,1,0]=>126 [1,1,1,1,1,0,0,0,0,1,0,0]=>124 [1,1,1,1,1,0,0,0,1,0,0,0]=>120 [1,1,1,1,1,0,0,1,0,0,0,0]=>112 [1,1,1,1,1,0,1,0,0,0,0,0]=>96 [1,1,1,1,1,1,0,0,0,0,0,0]=>64 [1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>3432 [1,0,1,0,1,0,1,0,1,0,1,1,0,0]=>3168 [1,0,1,0,1,0,1,0,1,1,0,0,1,0]=>3180 [1,0,1,0,1,0,1,0,1,1,0,1,0,0]=>3000 [1,0,1,0,1,0,1,0,1,1,1,0,0,0]=>2640 [1,0,1,0,1,0,1,1,0,0,1,0,1,0]=>3152 [1,0,1,0,1,0,1,1,0,0,1,1,0,0]=>2944 [1,0,1,0,1,0,1,1,0,1,0,0,1,0]=>2984 [1,0,1,0,1,0,1,1,0,1,0,1,0,0]=>2832 [1,0,1,0,1,0,1,1,0,1,1,0,0,0]=>2528 [1,0,1,0,1,0,1,1,1,0,0,0,1,0]=>2592 [1,0,1,0,1,0,1,1,1,0,0,1,0,0]=>2496 [1,0,1,0,1,0,1,1,1,0,1,0,0,0]=>2304 [1,0,1,0,1,0,1,1,1,1,0,0,0,0]=>1920 [1,0,1,0,1,1,0,0,1,0,1,0,1,0]=>3082 [1,0,1,0,1,1,0,0,1,0,1,1,0,0]=>2868 [1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>2890 [1,0,1,0,1,1,0,0,1,1,0,1,0,0]=>2740 [1,0,1,0,1,1,0,0,1,1,1,0,0,0]=>2440 [1,0,1,0,1,1,0,1,0,0,1,0,1,0]=>2902 [1,0,1,0,1,1,0,1,0,0,1,1,0,0]=>2724 [1,0,1,0,1,1,0,1,0,1,0,0,1,0]=>2764 [1,0,1,0,1,1,0,1,0,1,0,1,0,0]=>2632 [1,0,1,0,1,1,0,1,0,1,1,0,0,0]=>2368 [1,0,1,0,1,1,0,1,1,0,0,0,1,0]=>2442 [1,0,1,0,1,1,0,1,1,0,0,1,0,0]=>2356 [1,0,1,0,1,1,0,1,1,0,1,0,0,0]=>2184 [1,0,1,0,1,1,0,1,1,1,0,0,0,0]=>1840 [1,0,1,0,1,1,1,0,0,0,1,0,1,0]=>2452 [1,0,1,0,1,1,1,0,0,0,1,1,0,0]=>2328 [1,0,1,0,1,1,1,0,0,1,0,0,1,0]=>2368 [1,0,1,0,1,1,1,0,0,1,0,1,0,0]=>2272 [1,0,1,0,1,1,1,0,0,1,1,0,0,0]=>2080 [1,0,1,0,1,1,1,0,1,0,0,0,1,0]=>2172 [1,0,1,0,1,1,1,0,1,0,0,1,0,0]=>2104 [1,0,1,0,1,1,1,0,1,0,1,0,0,0]=>1968 [1,0,1,0,1,1,1,0,1,1,0,0,0,0]=>1696 [1,0,1,0,1,1,1,1,0,0,0,0,1,0]=>1752 [1,0,1,0,1,1,1,1,0,0,0,1,0,0]=>1712 [1,0,1,0,1,1,1,1,0,0,1,0,0,0]=>1632 [1,0,1,0,1,1,1,1,0,1,0,0,0,0]=>1472 [1,0,1,0,1,1,1,1,1,0,0,0,0,0]=>1152 [1,0,1,1,0,0,1,0,1,0,1,0,1,0]=>2928 [1,0,1,1,0,0,1,0,1,0,1,1,0,0]=>2720 [1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>2736 [1,0,1,1,0,0,1,0,1,1,0,1,0,0]=>2592 [1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>2304 [1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>2728 [1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>2560 [1,0,1,1,0,0,1,1,0,1,0,0,1,0]=>2596 [1,0,1,1,0,0,1,1,0,1,0,1,0,0]=>2472 [1,0,1,1,0,0,1,1,0,1,1,0,0,0]=>2224 [1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>2288 [1,0,1,1,0,0,1,1,1,0,0,1,0,0]=>2208 [1,0,1,1,0,0,1,1,1,0,1,0,0,0]=>2048 [1,0,1,1,0,0,1,1,1,1,0,0,0,0]=>1728 [1,0,1,1,0,1,0,0,1,0,1,0,1,0]=>2718 [1,0,1,1,0,1,0,0,1,0,1,1,0,0]=>2540 [1,0,1,1,0,1,0,0,1,1,0,0,1,0]=>2562 [1,0,1,1,0,1,0,0,1,1,0,1,0,0]=>2436 [1,0,1,1,0,1,0,0,1,1,1,0,0,0]=>2184 [1,0,1,1,0,1,0,1,0,0,1,0,1,0]=>2578 [1,0,1,1,0,1,0,1,0,0,1,1,0,0]=>2428 [1,0,1,1,0,1,0,1,0,1,0,0,1,0]=>2464 [1,0,1,1,0,1,0,1,0,1,0,1,0,0]=>2352 [1,0,1,1,0,1,0,1,0,1,1,0,0,0]=>2128 [1,0,1,1,0,1,0,1,1,0,0,0,1,0]=>2198 [1,0,1,1,0,1,0,1,1,0,0,1,0,0]=>2124 [1,0,1,1,0,1,0,1,1,0,1,0,0,0]=>1976 [1,0,1,1,0,1,0,1,1,1,0,0,0,0]=>1680 [1,0,1,1,0,1,1,0,0,0,1,0,1,0]=>2228 [1,0,1,1,0,1,1,0,0,0,1,1,0,0]=>2120 [1,0,1,1,0,1,1,0,0,1,0,0,1,0]=>2156 [1,0,1,1,0,1,1,0,0,1,0,1,0,0]=>2072 [1,0,1,1,0,1,1,0,0,1,1,0,0,0]=>1904 [1,0,1,1,0,1,1,0,1,0,0,0,1,0]=>1988 [1,0,1,1,0,1,1,0,1,0,0,1,0,0]=>1928 [1,0,1,1,0,1,1,0,1,0,1,0,0,0]=>1808 [1,0,1,1,0,1,1,0,1,1,0,0,0,0]=>1568 [1,0,1,1,0,1,1,1,0,0,0,0,1,0]=>1628 [1,0,1,1,0,1,1,1,0,0,0,1,0,0]=>1592 [1,0,1,1,0,1,1,1,0,0,1,0,0,0]=>1520 [1,0,1,1,0,1,1,1,0,1,0,0,0,0]=>1376 [1,0,1,1,0,1,1,1,1,0,0,0,0,0]=>1088 [1,0,1,1,1,0,0,0,1,0,1,0,1,0]=>2172 [1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>2048 [1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>2070 [1,0,1,1,1,0,0,0,1,1,0,1,0,0]=>1980 [1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>1800 [1,0,1,1,1,0,0,1,0,0,1,0,1,0]=>2092 [1,0,1,1,1,0,0,1,0,0,1,1,0,0]=>1984 [1,0,1,1,1,0,0,1,0,1,0,0,1,0]=>2014 [1,0,1,1,1,0,0,1,0,1,0,1,0,0]=>1932 [1,0,1,1,1,0,0,1,0,1,1,0,0,0]=>1768 [1,0,1,1,1,0,0,1,1,0,0,0,1,0]=>1832 [1,0,1,1,1,0,0,1,1,0,0,1,0,0]=>1776 [1,0,1,1,1,0,0,1,1,0,1,0,0,0]=>1664 [1,0,1,1,1,0,0,1,1,1,0,0,0,0]=>1440 [1,0,1,1,1,0,1,0,0,0,1,0,1,0]=>1892 [1,0,1,1,1,0,1,0,0,0,1,1,0,0]=>1808 [1,0,1,1,1,0,1,0,0,1,0,0,1,0]=>1838 [1,0,1,1,1,0,1,0,0,1,0,1,0,0]=>1772 [1,0,1,1,1,0,1,0,0,1,1,0,0,0]=>1640 [1,0,1,1,1,0,1,0,1,0,0,0,1,0]=>1712 [1,0,1,1,1,0,1,0,1,0,0,1,0,0]=>1664 [1,0,1,1,1,0,1,0,1,0,1,0,0,0]=>1568 [1,0,1,1,1,0,1,0,1,1,0,0,0,0]=>1376 [1,0,1,1,1,0,1,1,0,0,0,0,1,0]=>1442 [1,0,1,1,1,0,1,1,0,0,0,1,0,0]=>1412 [1,0,1,1,1,0,1,1,0,0,1,0,0,0]=>1352 [1,0,1,1,1,0,1,1,0,1,0,0,0,0]=>1232 [1,0,1,1,1,0,1,1,1,0,0,0,0,0]=>992 [1,0,1,1,1,1,0,0,0,0,1,0,1,0]=>1444 [1,0,1,1,1,1,0,0,0,0,1,1,0,0]=>1392 [1,0,1,1,1,1,0,0,0,1,0,0,1,0]=>1414 [1,0,1,1,1,1,0,0,0,1,0,1,0,0]=>1372 [1,0,1,1,1,1,0,0,0,1,1,0,0,0]=>1288 [1,0,1,1,1,1,0,0,1,0,0,0,1,0]=>1344 [1,0,1,1,1,1,0,0,1,0,0,1,0,0]=>1312 [1,0,1,1,1,1,0,0,1,0,1,0,0,0]=>1248 [1,0,1,1,1,1,0,0,1,1,0,0,0,0]=>1120 [1,0,1,1,1,1,0,1,0,0,0,0,1,0]=>1194 [1,0,1,1,1,1,0,1,0,0,0,1,0,0]=>1172 [1,0,1,1,1,1,0,1,0,0,1,0,0,0]=>1128 [1,0,1,1,1,1,0,1,0,1,0,0,0,0]=>1040 [1,0,1,1,1,1,0,1,1,0,0,0,0,0]=>864 [1,0,1,1,1,1,1,0,0,0,0,0,1,0]=>884 [1,0,1,1,1,1,1,0,0,0,0,1,0,0]=>872 [1,0,1,1,1,1,1,0,0,0,1,0,0,0]=>848 [1,0,1,1,1,1,1,0,0,1,0,0,0,0]=>800 [1,0,1,1,1,1,1,0,1,0,0,0,0,0]=>704 [1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>512 [1,1,0,0,1,0,1,0,1,0,1,0,1,0]=>2508 [1,1,0,0,1,0,1,0,1,0,1,1,0,0]=>2328 [1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>2340 [1,1,0,0,1,0,1,0,1,1,0,1,0,0]=>2216 [1,1,0,0,1,0,1,0,1,1,1,0,0,0]=>1968 [1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>2328 [1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>2184 [1,1,0,0,1,0,1,1,0,1,0,0,1,0]=>2214 [1,1,0,0,1,0,1,1,0,1,0,1,0,0]=>2108 [1,1,0,0,1,0,1,1,0,1,1,0,0,0]=>1896 [1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>1948 [1,1,0,0,1,0,1,1,1,0,0,1,0,0]=>1880 [1,1,0,0,1,0,1,1,1,0,1,0,0,0]=>1744 [1,1,0,0,1,0,1,1,1,1,0,0,0,0]=>1472 [1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>2298 [1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>2148 [1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>2166 [1,1,0,0,1,1,0,0,1,1,0,1,0,0]=>2060 [1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>1848 [1,1,0,0,1,1,0,1,0,0,1,0,1,0]=>2178 [1,1,0,0,1,1,0,1,0,0,1,1,0,0]=>2052 [1,1,0,0,1,1,0,1,0,1,0,0,1,0]=>2082 [1,1,0,0,1,1,0,1,0,1,0,1,0,0]=>1988 [1,1,0,0,1,1,0,1,0,1,1,0,0,0]=>1800 [1,1,0,0,1,1,0,1,1,0,0,0,1,0]=>1858 [1,1,0,0,1,1,0,1,1,0,0,1,0,0]=>1796 [1,1,0,0,1,1,0,1,1,0,1,0,0,0]=>1672 [1,1,0,0,1,1,0,1,1,1,0,0,0,0]=>1424 [1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>1878 [1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>1788 [1,1,0,0,1,1,1,0,0,1,0,0,1,0]=>1818 [1,1,0,0,1,1,1,0,0,1,0,1,0,0]=>1748 [1,1,0,0,1,1,1,0,0,1,1,0,0,0]=>1608 [1,1,0,0,1,1,1,0,1,0,0,0,1,0]=>1678 [1,1,0,0,1,1,1,0,1,0,0,1,0,0]=>1628 [1,1,0,0,1,1,1,0,1,0,1,0,0,0]=>1528 [1,1,0,0,1,1,1,0,1,1,0,0,0,0]=>1328 [1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>1378 [1,1,0,0,1,1,1,1,0,0,0,1,0,0]=>1348 [1,1,0,0,1,1,1,1,0,0,1,0,0,0]=>1288 [1,1,0,0,1,1,1,1,0,1,0,0,0,0]=>1168 [1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>928 [1,1,0,1,0,0,1,0,1,0,1,0,1,0]=>2256 [1,1,0,1,0,0,1,0,1,0,1,1,0,0]=>2104 [1,1,0,1,0,0,1,0,1,1,0,0,1,0]=>2118 [1,1,0,1,0,0,1,0,1,1,0,1,0,0]=>2012 [1,1,0,1,0,0,1,0,1,1,1,0,0,0]=>1800 [1,1,0,1,0,0,1,1,0,0,1,0,1,0]=>2116 [1,1,0,1,0,0,1,1,0,0,1,1,0,0]=>1992 [1,1,0,1,0,0,1,1,0,1,0,0,1,0]=>2020 [1,1,0,1,0,0,1,1,0,1,0,1,0,0]=>1928 [1,1,0,1,0,0,1,1,0,1,1,0,0,0]=>1744 [1,1,0,1,0,0,1,1,1,0,0,0,1,0]=>1796 [1,1,0,1,0,0,1,1,1,0,0,1,0,0]=>1736 [1,1,0,1,0,0,1,1,1,0,1,0,0,0]=>1616 [1,1,0,1,0,0,1,1,1,1,0,0,0,0]=>1376 [1,1,0,1,0,1,0,0,1,0,1,0,1,0]=>2116 [1,1,0,1,0,1,0,0,1,0,1,1,0,0]=>1984 [1,1,0,1,0,1,0,0,1,1,0,0,1,0]=>2002 [1,1,0,1,0,1,0,0,1,1,0,1,0,0]=>1908 [1,1,0,1,0,1,0,0,1,1,1,0,0,0]=>1720 [1,1,0,1,0,1,0,1,0,0,1,0,1,0]=>2016 [1,1,0,1,0,1,0,1,0,0,1,1,0,0]=>1904 [1,1,0,1,0,1,0,1,0,1,0,0,1,0]=>1932 [1,1,0,1,0,1,0,1,0,1,0,1,0,0]=>1848 [1,1,0,1,0,1,0,1,0,1,1,0,0,0]=>1680 [1,1,0,1,0,1,0,1,1,0,0,0,1,0]=>1736 [1,1,0,1,0,1,0,1,1,0,0,1,0,0]=>1680 [1,1,0,1,0,1,0,1,1,0,1,0,0,0]=>1568 [1,1,0,1,0,1,0,1,1,1,0,0,0,0]=>1344 [1,1,0,1,0,1,1,0,0,0,1,0,1,0]=>1766 [1,1,0,1,0,1,1,0,0,0,1,1,0,0]=>1684 [1,1,0,1,0,1,1,0,0,1,0,0,1,0]=>1712 [1,1,0,1,0,1,1,0,0,1,0,1,0,0]=>1648 [1,1,0,1,0,1,1,0,0,1,1,0,0,0]=>1520 [1,1,0,1,0,1,1,0,1,0,0,0,1,0]=>1586 [1,1,0,1,0,1,1,0,1,0,0,1,0,0]=>1540 [1,1,0,1,0,1,1,0,1,0,1,0,0,0]=>1448 [1,1,0,1,0,1,1,0,1,1,0,0,0,0]=>1264 [1,1,0,1,0,1,1,1,0,0,0,0,1,0]=>1316 [1,1,0,1,0,1,1,1,0,0,0,1,0,0]=>1288 [1,1,0,1,0,1,1,1,0,0,1,0,0,0]=>1232 [1,1,0,1,0,1,1,1,0,1,0,0,0,0]=>1120 [1,1,0,1,0,1,1,1,1,0,0,0,0,0]=>896 [1,1,0,1,1,0,0,0,1,0,1,0,1,0]=>1752 [1,1,0,1,1,0,0,0,1,0,1,1,0,0]=>1656 [1,1,0,1,1,0,0,0,1,1,0,0,1,0]=>1674 [1,1,0,1,1,0,0,0,1,1,0,1,0,0]=>1604 [1,1,0,1,1,0,0,0,1,1,1,0,0,0]=>1464 [1,1,0,1,1,0,0,1,0,0,1,0,1,0]=>1692 [1,1,0,1,1,0,0,1,0,0,1,1,0,0]=>1608 [1,1,0,1,1,0,0,1,0,1,0,0,1,0]=>1632 [1,1,0,1,1,0,0,1,0,1,0,1,0,0]=>1568 [1,1,0,1,1,0,0,1,0,1,1,0,0,0]=>1440 [1,1,0,1,1,0,0,1,1,0,0,0,1,0]=>1492 [1,1,0,1,1,0,0,1,1,0,0,1,0,0]=>1448 [1,1,0,1,1,0,0,1,1,0,1,0,0,0]=>1360 [1,1,0,1,1,0,0,1,1,1,0,0,0,0]=>1184 [1,1,0,1,1,0,1,0,0,0,1,0,1,0]=>1542 [1,1,0,1,1,0,1,0,0,0,1,1,0,0]=>1476 [1,1,0,1,1,0,1,0,0,1,0,0,1,0]=>1500 [1,1,0,1,1,0,1,0,0,1,0,1,0,0]=>1448 [1,1,0,1,1,0,1,0,0,1,1,0,0,0]=>1344 [1,1,0,1,1,0,1,0,1,0,0,0,1,0]=>1402 [1,1,0,1,1,0,1,0,1,0,0,1,0,0]=>1364 [1,1,0,1,1,0,1,0,1,0,1,0,0,0]=>1288 [1,1,0,1,1,0,1,0,1,1,0,0,0,0]=>1136 [1,1,0,1,1,0,1,1,0,0,0,0,1,0]=>1192 [1,1,0,1,1,0,1,1,0,0,0,1,0,0]=>1168 [1,1,0,1,1,0,1,1,0,0,1,0,0,0]=>1120 [1,1,0,1,1,0,1,1,0,1,0,0,0,0]=>1024 [1,1,0,1,1,0,1,1,1,0,0,0,0,0]=>832 [1,1,0,1,1,1,0,0,0,0,1,0,1,0]=>1206 [1,1,0,1,1,1,0,0,0,0,1,1,0,0]=>1164 [1,1,0,1,1,1,0,0,0,1,0,0,1,0]=>1182 [1,1,0,1,1,1,0,0,0,1,0,1,0,0]=>1148 [1,1,0,1,1,1,0,0,0,1,1,0,0,0]=>1080 [1,1,0,1,1,1,0,0,1,0,0,0,1,0]=>1126 [1,1,0,1,1,1,0,0,1,0,0,1,0,0]=>1100 [1,1,0,1,1,1,0,0,1,0,1,0,0,0]=>1048 [1,1,0,1,1,1,0,0,1,1,0,0,0,0]=>944 [1,1,0,1,1,1,0,1,0,0,0,0,1,0]=>1006 [1,1,0,1,1,1,0,1,0,0,0,1,0,0]=>988 [1,1,0,1,1,1,0,1,0,0,1,0,0,0]=>952 [1,1,0,1,1,1,0,1,0,1,0,0,0,0]=>880 [1,1,0,1,1,1,0,1,1,0,0,0,0,0]=>736 [1,1,0,1,1,1,1,0,0,0,0,0,1,0]=>758 [1,1,0,1,1,1,1,0,0,0,0,1,0,0]=>748 [1,1,0,1,1,1,1,0,0,0,1,0,0,0]=>728 [1,1,0,1,1,1,1,0,0,1,0,0,0,0]=>688 [1,1,0,1,1,1,1,0,1,0,0,0,0,0]=>608 [1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>448 [1,1,1,0,0,0,1,0,1,0,1,0,1,0]=>1584 [1,1,1,0,0,0,1,0,1,0,1,1,0,0]=>1488 [1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>1500 [1,1,1,0,0,0,1,0,1,1,0,1,0,0]=>1432 [1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>1296 [1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>1504 [1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>1424 [1,1,1,0,0,0,1,1,0,1,0,0,1,0]=>1444 [1,1,1,0,0,0,1,1,0,1,0,1,0,0]=>1384 [1,1,1,0,0,0,1,1,0,1,1,0,0,0]=>1264 [1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>1304 [1,1,1,0,0,0,1,1,1,0,0,1,0,0]=>1264 [1,1,1,0,0,0,1,1,1,0,1,0,0,0]=>1184 [1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>1024 [1,1,1,0,0,1,0,0,1,0,1,0,1,0]=>1514 [1,1,1,0,0,1,0,0,1,0,1,1,0,0]=>1428 [1,1,1,0,0,1,0,0,1,1,0,0,1,0]=>1442 [1,1,1,0,0,1,0,0,1,1,0,1,0,0]=>1380 [1,1,1,0,0,1,0,0,1,1,1,0,0,0]=>1256 [1,1,1,0,0,1,0,1,0,0,1,0,1,0]=>1454 [1,1,1,0,0,1,0,1,0,0,1,1,0,0]=>1380 [1,1,1,0,0,1,0,1,0,1,0,0,1,0]=>1400 [1,1,1,0,0,1,0,1,0,1,0,1,0,0]=>1344 [1,1,1,0,0,1,0,1,0,1,1,0,0,0]=>1232 [1,1,1,0,0,1,0,1,1,0,0,0,1,0]=>1274 [1,1,1,0,0,1,0,1,1,0,0,1,0,0]=>1236 [1,1,1,0,0,1,0,1,1,0,1,0,0,0]=>1160 [1,1,1,0,0,1,0,1,1,1,0,0,0,0]=>1008 [1,1,1,0,0,1,1,0,0,0,1,0,1,0]=>1304 [1,1,1,0,0,1,1,0,0,0,1,1,0,0]=>1248 [1,1,1,0,0,1,1,0,0,1,0,0,1,0]=>1268 [1,1,1,0,0,1,1,0,0,1,0,1,0,0]=>1224 [1,1,1,0,0,1,1,0,0,1,1,0,0,0]=>1136 [1,1,1,0,0,1,1,0,1,0,0,0,1,0]=>1184 [1,1,1,0,0,1,1,0,1,0,0,1,0,0]=>1152 [1,1,1,0,0,1,1,0,1,0,1,0,0,0]=>1088 [1,1,1,0,0,1,1,0,1,1,0,0,0,0]=>960 [1,1,1,0,0,1,1,1,0,0,0,0,1,0]=>1004 [1,1,1,0,0,1,1,1,0,0,0,1,0,0]=>984 [1,1,1,0,0,1,1,1,0,0,1,0,0,0]=>944 [1,1,1,0,0,1,1,1,0,1,0,0,0,0]=>864 [1,1,1,0,0,1,1,1,1,0,0,0,0,0]=>704 [1,1,1,0,1,0,0,0,1,0,1,0,1,0]=>1332 [1,1,1,0,1,0,0,0,1,0,1,1,0,0]=>1264 [1,1,1,0,1,0,0,0,1,1,0,0,1,0]=>1278 [1,1,1,0,1,0,0,0,1,1,0,1,0,0]=>1228 [1,1,1,0,1,0,0,0,1,1,1,0,0,0]=>1128 [1,1,1,0,1,0,0,1,0,0,1,0,1,0]=>1292 [1,1,1,0,1,0,0,1,0,0,1,1,0,0]=>1232 [1,1,1,0,1,0,0,1,0,1,0,0,1,0]=>1250 [1,1,1,0,1,0,0,1,0,1,0,1,0,0]=>1204 [1,1,1,0,1,0,0,1,0,1,1,0,0,0]=>1112 [1,1,1,0,1,0,0,1,1,0,0,0,1,0]=>1152 [1,1,1,0,1,0,0,1,1,0,0,1,0,0]=>1120 [1,1,1,0,1,0,0,1,1,0,1,0,0,0]=>1056 [1,1,1,0,1,0,0,1,1,1,0,0,0,0]=>928 [1,1,1,0,1,0,1,0,0,0,1,0,1,0]=>1192 [1,1,1,0,1,0,1,0,0,0,1,1,0,0]=>1144 [1,1,1,0,1,0,1,0,0,1,0,0,1,0]=>1162 [1,1,1,0,1,0,1,0,0,1,0,1,0,0]=>1124 [1,1,1,0,1,0,1,0,0,1,1,0,0,0]=>1048 [1,1,1,0,1,0,1,0,1,0,0,0,1,0]=>1092 [1,1,1,0,1,0,1,0,1,0,0,1,0,0]=>1064 [1,1,1,0,1,0,1,0,1,0,1,0,0,0]=>1008 [1,1,1,0,1,0,1,0,1,1,0,0,0,0]=>896 [1,1,1,0,1,0,1,1,0,0,0,0,1,0]=>942 [1,1,1,0,1,0,1,1,0,0,0,1,0,0]=>924 [1,1,1,0,1,0,1,1,0,0,1,0,0,0]=>888 [1,1,1,0,1,0,1,1,0,1,0,0,0,0]=>816 [1,1,1,0,1,0,1,1,1,0,0,0,0,0]=>672 [1,1,1,0,1,1,0,0,0,0,1,0,1,0]=>968 [1,1,1,0,1,1,0,0,0,0,1,1,0,0]=>936 [1,1,1,0,1,1,0,0,0,1,0,0,1,0]=>950 [1,1,1,0,1,1,0,0,0,1,0,1,0,0]=>924 [1,1,1,0,1,1,0,0,0,1,1,0,0,0]=>872 [1,1,1,0,1,1,0,0,1,0,0,0,1,0]=>908 [1,1,1,0,1,1,0,0,1,0,0,1,0,0]=>888 [1,1,1,0,1,1,0,0,1,0,1,0,0,0]=>848 [1,1,1,0,1,1,0,0,1,1,0,0,0,0]=>768 [1,1,1,0,1,1,0,1,0,0,0,0,1,0]=>818 [1,1,1,0,1,1,0,1,0,0,0,1,0,0]=>804 [1,1,1,0,1,1,0,1,0,0,1,0,0,0]=>776 [1,1,1,0,1,1,0,1,0,1,0,0,0,0]=>720 [1,1,1,0,1,1,0,1,1,0,0,0,0,0]=>608 [1,1,1,0,1,1,1,0,0,0,0,0,1,0]=>632 [1,1,1,0,1,1,1,0,0,0,0,1,0,0]=>624 [1,1,1,0,1,1,1,0,0,0,1,0,0,0]=>608 [1,1,1,0,1,1,1,0,0,1,0,0,0,0]=>576 [1,1,1,0,1,1,1,0,1,0,0,0,0,0]=>512 [1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>384 [1,1,1,1,0,0,0,0,1,0,1,0,1,0]=>912 [1,1,1,1,0,0,0,0,1,0,1,1,0,0]=>872 [1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>882 [1,1,1,1,0,0,0,0,1,1,0,1,0,0]=>852 [1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>792 [1,1,1,1,0,0,0,1,0,0,1,0,1,0]=>892 [1,1,1,1,0,0,0,1,0,0,1,1,0,0]=>856 [1,1,1,1,0,0,0,1,0,1,0,0,1,0]=>868 [1,1,1,1,0,0,0,1,0,1,0,1,0,0]=>840 [1,1,1,1,0,0,0,1,0,1,1,0,0,0]=>784 [1,1,1,1,0,0,0,1,1,0,0,0,1,0]=>812 [1,1,1,1,0,0,0,1,1,0,0,1,0,0]=>792 [1,1,1,1,0,0,0,1,1,0,1,0,0,0]=>752 [1,1,1,1,0,0,0,1,1,1,0,0,0,0]=>672 [1,1,1,1,0,0,1,0,0,0,1,0,1,0]=>842 [1,1,1,1,0,0,1,0,0,0,1,1,0,0]=>812 [1,1,1,1,0,0,1,0,0,1,0,0,1,0]=>824 [1,1,1,1,0,0,1,0,0,1,0,1,0,0]=>800 [1,1,1,1,0,0,1,0,0,1,1,0,0,0]=>752 [1,1,1,1,0,0,1,0,1,0,0,0,1,0]=>782 [1,1,1,1,0,0,1,0,1,0,0,1,0,0]=>764 [1,1,1,1,0,0,1,0,1,0,1,0,0,0]=>728 [1,1,1,1,0,0,1,0,1,1,0,0,0,0]=>656 [1,1,1,1,0,0,1,1,0,0,0,0,1,0]=>692 [1,1,1,1,0,0,1,1,0,0,0,1,0,0]=>680 [1,1,1,1,0,0,1,1,0,0,1,0,0,0]=>656 [1,1,1,1,0,0,1,1,0,1,0,0,0,0]=>608 [1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>512 [1,1,1,1,0,1,0,0,0,0,1,0,1,0]=>730 [1,1,1,1,0,1,0,0,0,0,1,1,0,0]=>708 [1,1,1,1,0,1,0,0,0,1,0,0,1,0]=>718 [1,1,1,1,0,1,0,0,0,1,0,1,0,0]=>700 [1,1,1,1,0,1,0,0,0,1,1,0,0,0]=>664 [1,1,1,1,0,1,0,0,1,0,0,0,1,0]=>690 [1,1,1,1,0,1,0,0,1,0,0,1,0,0]=>676 [1,1,1,1,0,1,0,0,1,0,1,0,0,0]=>648 [1,1,1,1,0,1,0,0,1,1,0,0,0,0]=>592 [1,1,1,1,0,1,0,1,0,0,0,0,1,0]=>630 [1,1,1,1,0,1,0,1,0,0,0,1,0,0]=>620 [1,1,1,1,0,1,0,1,0,0,1,0,0,0]=>600 [1,1,1,1,0,1,0,1,0,1,0,0,0,0]=>560 [1,1,1,1,0,1,0,1,1,0,0,0,0,0]=>480 [1,1,1,1,0,1,1,0,0,0,0,0,1,0]=>506 [1,1,1,1,0,1,1,0,0,0,0,1,0,0]=>500 [1,1,1,1,0,1,1,0,0,0,1,0,0,0]=>488 [1,1,1,1,0,1,1,0,0,1,0,0,0,0]=>464 [1,1,1,1,0,1,1,0,1,0,0,0,0,0]=>416 [1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>320 [1,1,1,1,1,0,0,0,0,0,1,0,1,0]=>492 [1,1,1,1,1,0,0,0,0,0,1,1,0,0]=>480 [1,1,1,1,1,0,0,0,0,1,0,0,1,0]=>486 [1,1,1,1,1,0,0,0,0,1,0,1,0,0]=>476 [1,1,1,1,1,0,0,0,0,1,1,0,0,0]=>456 [1,1,1,1,1,0,0,0,1,0,0,0,1,0]=>472 [1,1,1,1,1,0,0,0,1,0,0,1,0,0]=>464 [1,1,1,1,1,0,0,0,1,0,1,0,0,0]=>448 [1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>416 [1,1,1,1,1,0,0,1,0,0,0,0,1,0]=>442 [1,1,1,1,1,0,0,1,0,0,0,1,0,0]=>436 [1,1,1,1,1,0,0,1,0,0,1,0,0,0]=>424 [1,1,1,1,1,0,0,1,0,1,0,0,0,0]=>400 [1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>352 [1,1,1,1,1,0,1,0,0,0,0,0,1,0]=>380 [1,1,1,1,1,0,1,0,0,0,0,1,0,0]=>376 [1,1,1,1,1,0,1,0,0,0,1,0,0,0]=>368 [1,1,1,1,1,0,1,0,0,1,0,0,0,0]=>352 [1,1,1,1,1,0,1,0,1,0,0,0,0,0]=>320 [1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>256 [1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>254 [1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>252 [1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>248 [1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>240 [1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>224 [1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>192 [1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>128 [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>12870 [1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0]=>12012 [1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0]=>12078 [1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0]=>11484 [1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0]=>10296 [1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0]=>12030 [1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0]=>11340 [1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0]=>11490 [1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0]=>10980 [1,0,1,0,1,0,1,0,1,1,0,1,1,0,0,0]=>9960 [1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0]=>10230 [1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0]=>9900 [1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0]=>9240 [1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0]=>7920 [1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0]=>11890 [1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0]=>11172 [1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>11266 [1,0,1,0,1,0,1,1,0,0,1,1,0,1,0,0]=>10756 [1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0]=>9736 [1,0,1,0,1,0,1,1,0,1,0,0,1,0,1,0]=>11330 [1,0,1,0,1,0,1,1,0,1,0,0,1,1,0,0]=>10724 [1,0,1,0,1,0,1,1,0,1,0,1,0,0,1,0]=>10874 [1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0]=>10420 [1,0,1,0,1,0,1,1,0,1,0,1,1,0,0,0]=>9512 [1,0,1,0,1,0,1,1,0,1,1,0,0,0,1,0]=>9810 [1,0,1,0,1,0,1,1,0,1,1,0,0,1,0,0]=>9508 [1,0,1,0,1,0,1,1,0,1,1,0,1,0,0,0]=>8904 [1,0,1,0,1,0,1,1,0,1,1,1,0,0,0,0]=>7696 [1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0]=>9930 [1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0]=>9492 [1,0,1,0,1,0,1,1,1,0,0,1,0,0,1,0]=>9642 [1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,0]=>9300 [1,0,1,0,1,0,1,1,1,0,0,1,1,0,0,0]=>8616 [1,0,1,0,1,0,1,1,1,0,1,0,0,0,1,0]=>8970 [1,0,1,0,1,0,1,1,1,0,1,0,0,1,0,0]=>8724 [1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,0]=>8232 [1,0,1,0,1,0,1,1,1,0,1,1,0,0,0,0]=>7248 [1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0]=>7530 [1,0,1,0,1,0,1,1,1,1,0,0,0,1,0,0]=>7380 [1,0,1,0,1,0,1,1,1,1,0,0,1,0,0,0]=>7080 [1,0,1,0,1,0,1,1,1,1,0,1,0,0,0,0]=>6480 [1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0]=>5280 [1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0]=>11610 [1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0]=>10892 [1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>10968 [1,0,1,0,1,1,0,0,1,0,1,1,0,1,0,0]=>10464 [1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>9456 [1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>10970 [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>10380 [1,0,1,0,1,1,0,0,1,1,0,1,0,0,1,0]=>10520 [1,0,1,0,1,1,0,0,1,1,0,1,0,1,0,0]=>10080 [1,0,1,0,1,1,0,0,1,1,0,1,1,0,0,0]=>9200 [1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>9470 [1,0,1,0,1,1,0,0,1,1,1,0,0,1,0,0]=>9180 [1,0,1,0,1,1,0,0,1,1,1,0,1,0,0,0]=>8600 [1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0]=>7440 [1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0]=>10980 [1,0,1,0,1,1,0,1,0,0,1,0,1,1,0,0]=>10352 [1,0,1,0,1,1,0,1,0,0,1,1,0,0,1,0]=>10446 [1,0,1,0,1,1,0,1,0,0,1,1,0,1,0,0]=>9996 [1,0,1,0,1,1,0,1,0,0,1,1,1,0,0,0]=>9096 [1,0,1,0,1,1,0,1,0,1,0,0,1,0,1,0]=>10520 [1,0,1,0,1,1,0,1,0,1,0,0,1,1,0,0]=>9984 [1,0,1,0,1,1,0,1,0,1,0,1,0,0,1,0]=>10124 [1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0]=>9720 [1,0,1,0,1,1,0,1,0,1,0,1,1,0,0,0]=>8912 [1,0,1,0,1,1,0,1,0,1,1,0,0,0,1,0]=>9200 [1,0,1,0,1,1,0,1,0,1,1,0,0,1,0,0]=>8928 [1,0,1,0,1,1,0,1,0,1,1,0,1,0,0,0]=>8384 [1,0,1,0,1,1,0,1,0,1,1,1,0,0,0,0]=>7296 [1,0,1,0,1,1,0,1,1,0,0,0,1,0,1,0]=>9370 [1,0,1,0,1,1,0,1,1,0,0,0,1,1,0,0]=>8972 [1,0,1,0,1,1,0,1,1,0,0,1,0,0,1,0]=>9112 [1,0,1,0,1,1,0,1,1,0,0,1,0,1,0,0]=>8800 [1,0,1,0,1,1,0,1,1,0,0,1,1,0,0,0]=>8176 [1,0,1,0,1,1,0,1,1,0,1,0,0,0,1,0]=>8510 [1,0,1,0,1,1,0,1,1,0,1,0,0,1,0,0]=>8284 [1,0,1,0,1,1,0,1,1,0,1,0,1,0,0,0]=>7832 [1,0,1,0,1,1,0,1,1,0,1,1,0,0,0,0]=>6928 [1,0,1,0,1,1,0,1,1,1,0,0,0,0,1,0]=>7220 [1,0,1,0,1,1,0,1,1,1,0,0,0,1,0,0]=>7080 [1,0,1,0,1,1,0,1,1,1,0,0,1,0,0,0]=>6800 [1,0,1,0,1,1,0,1,1,1,0,1,0,0,0,0]=>6240 [1,0,1,0,1,1,0,1,1,1,1,0,0,0,0,0]=>5120 [1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0]=>9342 [1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>8876 [1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>8970 [1,0,1,0,1,1,1,0,0,0,1,1,0,1,0,0]=>8628 [1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>7944 [1,0,1,0,1,1,1,0,0,1,0,0,1,0,1,0]=>9062 [1,0,1,0,1,1,1,0,0,1,0,0,1,1,0,0]=>8652 [1,0,1,0,1,1,1,0,0,1,0,1,0,0,1,0]=>8774 [1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,0]=>8460 [1,0,1,0,1,1,1,0,0,1,0,1,1,0,0,0]=>7832 [1,0,1,0,1,1,1,0,0,1,1,0,0,0,1,0]=>8102 [1,0,1,0,1,1,1,0,0,1,1,0,0,1,0,0]=>7884 [1,0,1,0,1,1,1,0,0,1,1,0,1,0,0,0]=>7448 [1,0,1,0,1,1,1,0,0,1,1,1,0,0,0,0]=>6576 [1,0,1,0,1,1,1,0,1,0,0,0,1,0,1,0]=>8362 [1,0,1,0,1,1,1,0,1,0,0,0,1,1,0,0]=>8036 [1,0,1,0,1,1,1,0,1,0,0,1,0,0,1,0]=>8158 [1,0,1,0,1,1,1,0,1,0,0,1,0,1,0,0]=>7900 [1,0,1,0,1,1,1,0,1,0,0,1,1,0,0,0]=>7384 [1,0,1,0,1,1,1,0,1,0,1,0,0,0,1,0]=>7682 [1,0,1,0,1,1,1,0,1,0,1,0,0,1,0,0]=>7492 [1,0,1,0,1,1,1,0,1,0,1,0,1,0,0,0]=>7112 [1,0,1,0,1,1,1,0,1,0,1,1,0,0,0,0]=>6352 [1,0,1,0,1,1,1,0,1,1,0,0,0,0,1,0]=>6662 [1,0,1,0,1,1,1,0,1,1,0,0,0,1,0,0]=>6540 [1,0,1,0,1,1,1,0,1,1,0,0,1,0,0,0]=>6296 [1,0,1,0,1,1,1,0,1,1,0,1,0,0,0,0]=>5808 [1,0,1,0,1,1,1,0,1,1,1,0,0,0,0,0]=>4832 [1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0]=>6794 [1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0]=>6580 [1,0,1,0,1,1,1,1,0,0,0,1,0,0,1,0]=>6674 [1,0,1,0,1,1,1,1,0,0,0,1,0,1,0,0]=>6500 [1,0,1,0,1,1,1,1,0,0,0,1,1,0,0,0]=>6152 [1,0,1,0,1,1,1,1,0,0,1,0,0,0,1,0]=>6394 [1,0,1,0,1,1,1,1,0,0,1,0,0,1,0,0]=>6260 [1,0,1,0,1,1,1,1,0,0,1,0,1,0,0,0]=>5992 [1,0,1,0,1,1,1,1,0,0,1,1,0,0,0,0]=>5456 [1,0,1,0,1,1,1,1,0,1,0,0,0,0,1,0]=>5794 [1,0,1,0,1,1,1,1,0,1,0,0,0,1,0,0]=>5700 [1,0,1,0,1,1,1,1,0,1,0,0,1,0,0,0]=>5512 [1,0,1,0,1,1,1,1,0,1,0,1,0,0,0,0]=>5136 [1,0,1,0,1,1,1,1,0,1,1,0,0,0,0,0]=>4384 [1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0]=>4554 [1,0,1,0,1,1,1,1,1,0,0,0,0,1,0,0]=>4500 [1,0,1,0,1,1,1,1,1,0,0,0,1,0,0,0]=>4392 [1,0,1,0,1,1,1,1,1,0,0,1,0,0,0,0]=>4176 [1,0,1,0,1,1,1,1,1,0,1,0,0,0,0,0]=>3744 [1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>2880 [1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0]=>11022 [1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0]=>10332 [1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>10398 [1,0,1,1,0,0,1,0,1,0,1,1,0,1,0,0]=>9916 [1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0]=>8952 [1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>10382 [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>9820 [1,0,1,1,0,0,1,0,1,1,0,1,0,0,1,0]=>9950 [1,0,1,1,0,0,1,0,1,1,0,1,0,1,0,0]=>9532 [1,0,1,1,0,0,1,0,1,1,0,1,1,0,0,0]=>8696 [1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>8942 [1,0,1,1,0,0,1,0,1,1,1,0,0,1,0,0]=>8668 [1,0,1,1,0,0,1,0,1,1,1,0,1,0,0,0]=>8120 [1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0]=>7024 [1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>10322 [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>9732 [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>9818 [1,0,1,1,0,0,1,1,0,0,1,1,0,1,0,0]=>9396 [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>8552 [1,0,1,1,0,0,1,1,0,1,0,0,1,0,1,0]=>9882 [1,0,1,1,0,0,1,1,0,1,0,0,1,1,0,0]=>9380 [1,0,1,1,0,0,1,1,0,1,0,1,0,0,1,0]=>9510 [1,0,1,1,0,0,1,1,0,1,0,1,0,1,0,0]=>9132 [1,0,1,1,0,0,1,1,0,1,0,1,1,0,0,0]=>8376 [1,0,1,1,0,0,1,1,0,1,1,0,0,0,1,0]=>8642 [1,0,1,1,0,0,1,1,0,1,1,0,0,1,0,0]=>8388 [1,0,1,1,0,0,1,1,0,1,1,0,1,0,0,0]=>7880 [1,0,1,1,0,0,1,1,0,1,1,1,0,0,0,0]=>6864 [1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>8782 [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>8412 [1,0,1,1,0,0,1,1,1,0,0,1,0,0,1,0]=>8542 [1,0,1,1,0,0,1,1,1,0,0,1,0,1,0,0]=>8252 [1,0,1,1,0,0,1,1,1,0,0,1,1,0,0,0]=>7672 [1,0,1,1,0,0,1,1,1,0,1,0,0,0,1,0]=>7982 [1,0,1,1,0,0,1,1,1,0,1,0,0,1,0,0]=>7772 [1,0,1,1,0,0,1,1,1,0,1,0,1,0,0,0]=>7352 [1,0,1,1,0,0,1,1,1,0,1,1,0,0,0,0]=>6512 [1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>6782 [1,0,1,1,0,0,1,1,1,1,0,0,0,1,0,0]=>6652 [1,0,1,1,0,0,1,1,1,1,0,0,1,0,0,0]=>6392 [1,0,1,1,0,0,1,1,1,1,0,1,0,0,0,0]=>5872 [1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>4832 [1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0]=>10266 [1,0,1,1,0,1,0,0,1,0,1,0,1,1,0,0]=>9660 [1,0,1,1,0,1,0,0,1,0,1,1,0,0,1,0]=>9732 [1,0,1,1,0,1,0,0,1,0,1,1,0,1,0,0]=>9304 [1,0,1,1,0,1,0,0,1,0,1,1,1,0,0,0]=>8448 [1,0,1,1,0,1,0,0,1,1,0,0,1,0,1,0]=>9746 [1,0,1,1,0,1,0,0,1,1,0,0,1,1,0,0]=>9244 [1,0,1,1,0,1,0,0,1,1,0,1,0,0,1,0]=>9368 [1,0,1,1,0,1,0,0,1,1,0,1,0,1,0,0]=>8992 [1,0,1,1,0,1,0,0,1,1,0,1,1,0,0,0]=>8240 [1,0,1,1,0,1,0,0,1,1,1,0,0,0,1,0]=>8486 [1,0,1,1,0,1,0,0,1,1,1,0,0,1,0,0]=>8236 [1,0,1,1,0,1,0,0,1,1,1,0,1,0,0,0]=>7736 [1,0,1,1,0,1,0,0,1,1,1,1,0,0,0,0]=>6736 [1,0,1,1,0,1,0,1,0,0,1,0,1,0,1,0]=>9776 [1,0,1,1,0,1,0,1,0,0,1,0,1,1,0,0]=>9240 [1,0,1,1,0,1,0,1,0,0,1,1,0,0,1,0]=>9326 [1,0,1,1,0,1,0,1,0,0,1,1,0,1,0,0]=>8940 [1,0,1,1,0,1,0,1,0,0,1,1,1,0,0,0]=>8168 [1,0,1,1,0,1,0,1,0,1,0,0,1,0,1,0]=>9396 [1,0,1,1,0,1,0,1,0,1,0,0,1,1,0,0]=>8936 [1,0,1,1,0,1,0,1,0,1,0,1,0,0,1,0]=>9060 [1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0]=>8712 [1,0,1,1,0,1,0,1,0,1,0,1,1,0,0,0]=>8016 [1,0,1,1,0,1,0,1,0,1,1,0,0,0,1,0]=>8276 [1,0,1,1,0,1,0,1,0,1,1,0,0,1,0,0]=>8040 [1,0,1,1,0,1,0,1,0,1,1,0,1,0,0,0]=>7568 [1,0,1,1,0,1,0,1,0,1,1,1,0,0,0,0]=>6624 [1,0,1,1,0,1,0,1,1,0,0,0,1,0,1,0]=>8446 [1,0,1,1,0,1,0,1,1,0,0,0,1,1,0,0]=>8100 [1,0,1,1,0,1,0,1,1,0,0,1,0,0,1,0]=>8224 [1,0,1,1,0,1,0,1,1,0,0,1,0,1,0,0]=>7952 [1,0,1,1,0,1,0,1,1,0,0,1,1,0,0,0]=>7408 [1,0,1,1,0,1,0,1,1,0,1,0,0,0,1,0]=>7706 [1,0,1,1,0,1,0,1,1,0,1,0,0,1,0,0]=>7508 [1,0,1,1,0,1,0,1,1,0,1,0,1,0,0,0]=>7112 [1,0,1,1,0,1,0,1,1,0,1,1,0,0,0,0]=>6320 [1,0,1,1,0,1,0,1,1,1,0,0,0,0,1,0]=>6596 [1,0,1,1,0,1,0,1,1,1,0,0,0,1,0,0]=>6472 [1,0,1,1,0,1,0,1,1,1,0,0,1,0,0,0]=>6224 [1,0,1,1,0,1,0,1,1,1,0,1,0,0,0,0]=>5728 [1,0,1,1,0,1,0,1,1,1,1,0,0,0,0,0]=>4736 [1,0,1,1,0,1,1,0,0,0,1,0,1,0,1,0]=>8502 [1,0,1,1,0,1,1,0,0,0,1,0,1,1,0,0]=>8092 [1,0,1,1,0,1,1,0,0,0,1,1,0,0,1,0]=>8178 [1,0,1,1,0,1,1,0,0,0,1,1,0,1,0,0]=>7876 [1,0,1,1,0,1,1,0,0,0,1,1,1,0,0,0]=>7272 [1,0,1,1,0,1,1,0,0,1,0,0,1,0,1,0]=>8262 [1,0,1,1,0,1,1,0,0,1,0,0,1,1,0,0]=>7900 [1,0,1,1,0,1,1,0,0,1,0,1,0,0,1,0]=>8010 [1,0,1,1,0,1,1,0,0,1,0,1,0,1,0,0]=>7732 [1,0,1,1,0,1,1,0,0,1,0,1,1,0,0,0]=>7176 [1,0,1,1,0,1,1,0,0,1,1,0,0,0,1,0]=>7422 [1,0,1,1,0,1,1,0,0,1,1,0,0,1,0,0]=>7228 [1,0,1,1,0,1,1,0,0,1,1,0,1,0,0,0]=>6840 [1,0,1,1,0,1,1,0,0,1,1,1,0,0,0,0]=>6064 [1,0,1,1,0,1,1,0,1,0,0,0,1,0,1,0]=>7662 [1,0,1,1,0,1,1,0,1,0,0,0,1,1,0,0]=>7372 [1,0,1,1,0,1,1,0,1,0,0,1,0,0,1,0]=>7482 [1,0,1,1,0,1,1,0,1,0,0,1,0,1,0,0]=>7252 [1,0,1,1,0,1,1,0,1,0,0,1,1,0,0,0]=>6792 [1,0,1,1,0,1,1,0,1,0,1,0,0,0,1,0]=>7062 [1,0,1,1,0,1,1,0,1,0,1,0,0,1,0,0]=>6892 [1,0,1,1,0,1,1,0,1,0,1,0,1,0,0,0]=>6552 [1,0,1,1,0,1,1,0,1,0,1,1,0,0,0,0]=>5872 [1,0,1,1,0,1,1,0,1,1,0,0,0,0,1,0]=>6162 [1,0,1,1,0,1,1,0,1,1,0,0,0,1,0,0]=>6052 [1,0,1,1,0,1,1,0,1,1,0,0,1,0,0,0]=>5832 [1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0]=>5392 [1,0,1,1,0,1,1,0,1,1,1,0,0,0,0,0]=>4512 [1,0,1,1,0,1,1,1,0,0,0,0,1,0,1,0]=>6318 [1,0,1,1,0,1,1,1,0,0,0,0,1,1,0,0]=>6124 [1,0,1,1,0,1,1,1,0,0,0,1,0,0,1,0]=>6210 [1,0,1,1,0,1,1,1,0,0,0,1,0,1,0,0]=>6052 [1,0,1,1,0,1,1,1,0,0,0,1,1,0,0,0]=>5736 [1,0,1,1,0,1,1,1,0,0,1,0,0,0,1,0]=>5958 [1,0,1,1,0,1,1,1,0,0,1,0,0,1,0,0]=>5836 [1,0,1,1,0,1,1,1,0,0,1,0,1,0,0,0]=>5592 [1,0,1,1,0,1,1,1,0,0,1,1,0,0,0,0]=>5104 [1,0,1,1,0,1,1,1,0,1,0,0,0,0,1,0]=>5418 [1,0,1,1,0,1,1,1,0,1,0,0,0,1,0,0]=>5332 [1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0]=>5160 [1,0,1,1,0,1,1,1,0,1,0,1,0,0,0,0]=>4816 [1,0,1,1,0,1,1,1,0,1,1,0,0,0,0,0]=>4128 [1,0,1,1,0,1,1,1,1,0,0,0,0,0,1,0]=>4302 [1,0,1,1,0,1,1,1,1,0,0,0,0,1,0,0]=>4252 [1,0,1,1,0,1,1,1,1,0,0,0,1,0,0,0]=>4152 [1,0,1,1,0,1,1,1,1,0,0,1,0,0,0,0]=>3952 [1,0,1,1,0,1,1,1,1,0,1,0,0,0,0,0]=>3552 [1,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>2752 [1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0]=>8250 [1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0]=>7812 [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>7878 [1,0,1,1,1,0,0,0,1,0,1,1,0,1,0,0]=>7564 [1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>6936 [1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>7910 [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>7540 [1,0,1,1,1,0,0,0,1,1,0,1,0,0,1,0]=>7640 [1,0,1,1,1,0,0,0,1,1,0,1,0,1,0,0]=>7360 [1,0,1,1,1,0,0,0,1,1,0,1,1,0,0,0]=>6800 [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>7010 [1,0,1,1,1,0,0,0,1,1,1,0,0,1,0,0]=>6820 [1,0,1,1,1,0,0,0,1,1,1,0,1,0,0,0]=>6440 [1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>5680 [1,0,1,1,1,0,0,1,0,0,1,0,1,0,1,0]=>7970 [1,0,1,1,1,0,0,1,0,0,1,0,1,1,0,0]=>7572 [1,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0]=>7646 [1,0,1,1,1,0,0,1,0,0,1,1,0,1,0,0]=>7356 [1,0,1,1,1,0,0,1,0,0,1,1,1,0,0,0]=>6776 [1,0,1,1,1,0,0,1,0,1,0,0,1,0,1,0]=>7710 [1,0,1,1,1,0,0,1,0,1,0,0,1,1,0,0]=>7364 [1,0,1,1,1,0,0,1,0,1,0,1,0,0,1,0]=>7464 [1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,0]=>7200 [1,0,1,1,1,0,0,1,0,1,0,1,1,0,0,0]=>6672 [1,0,1,1,1,0,0,1,0,1,1,0,0,0,1,0]=>6890 [1,0,1,1,1,0,0,1,0,1,1,0,0,1,0,0]=>6708 [1,0,1,1,1,0,0,1,0,1,1,0,1,0,0,0]=>6344 [1,0,1,1,1,0,0,1,0,1,1,1,0,0,0,0]=>5616 [1,0,1,1,1,0,0,1,1,0,0,0,1,0,1,0]=>7060 [1,0,1,1,1,0,0,1,1,0,0,0,1,1,0,0]=>6792 [1,0,1,1,1,0,0,1,1,0,0,1,0,0,1,0]=>6892 [1,0,1,1,1,0,0,1,1,0,0,1,0,1,0,0]=>6680 [1,0,1,1,1,0,0,1,1,0,0,1,1,0,0,0]=>6256 [1,0,1,1,1,0,0,1,1,0,1,0,0,0,1,0]=>6500 [1,0,1,1,1,0,0,1,1,0,1,0,0,1,0,0]=>6344 [1,0,1,1,1,0,0,1,1,0,1,0,1,0,0,0]=>6032 [1,0,1,1,1,0,0,1,1,0,1,1,0,0,0,0]=>5408 [1,0,1,1,1,0,0,1,1,1,0,0,0,0,1,0]=>5660 [1,0,1,1,1,0,0,1,1,1,0,0,0,1,0,0]=>5560 [1,0,1,1,1,0,0,1,1,1,0,0,1,0,0,0]=>5360 [1,0,1,1,1,0,0,1,1,1,0,1,0,0,0,0]=>4960 [1,0,1,1,1,0,0,1,1,1,1,0,0,0,0,0]=>4160 [1,0,1,1,1,0,1,0,0,0,1,0,1,0,1,0]=>7242 [1,0,1,1,1,0,1,0,0,0,1,0,1,1,0,0]=>6916 [1,0,1,1,1,0,1,0,0,0,1,1,0,0,1,0]=>6990 [1,0,1,1,1,0,1,0,0,0,1,1,0,1,0,0]=>6748 [1,0,1,1,1,0,1,0,0,0,1,1,1,0,0,0]=>6264 [1,0,1,1,1,0,1,0,0,1,0,0,1,0,1,0]=>7062 [1,0,1,1,1,0,1,0,0,1,0,0,1,1,0,0]=>6772 [1,0,1,1,1,0,1,0,0,1,0,1,0,0,1,0]=>6864 [1,0,1,1,1,0,1,0,0,1,0,1,0,1,0,0]=>6640 [1,0,1,1,1,0,1,0,0,1,0,1,1,0,0,0]=>6192 [1,0,1,1,1,0,1,0,0,1,1,0,0,0,1,0]=>6402 [1,0,1,1,1,0,1,0,0,1,1,0,0,1,0,0]=>6244 [1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0]=>5928 [1,0,1,1,1,0,1,0,0,1,1,1,0,0,0,0]=>5296 [1,0,1,1,1,0,1,0,1,0,0,0,1,0,1,0]=>6612 [1,0,1,1,1,0,1,0,1,0,0,0,1,1,0,0]=>6376 [1,0,1,1,1,0,1,0,1,0,0,1,0,0,1,0]=>6468 [1,0,1,1,1,0,1,0,1,0,0,1,0,1,0,0]=>6280 [1,0,1,1,1,0,1,0,1,0,0,1,1,0,0,0]=>5904 [1,0,1,1,1,0,1,0,1,0,1,0,0,0,1,0]=>6132 [1,0,1,1,1,0,1,0,1,0,1,0,0,1,0,0]=>5992 [1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0]=>5712 [1,0,1,1,1,0,1,0,1,0,1,1,0,0,0,0]=>5152 [1,0,1,1,1,0,1,0,1,1,0,0,0,0,1,0]=>5412 [1,0,1,1,1,0,1,0,1,1,0,0,0,1,0,0]=>5320 [1,0,1,1,1,0,1,0,1,1,0,0,1,0,0,0]=>5136 [1,0,1,1,1,0,1,0,1,1,0,1,0,0,0,0]=>4768 [1,0,1,1,1,0,1,0,1,1,1,0,0,0,0,0]=>4032 [1,0,1,1,1,0,1,1,0,0,0,0,1,0,1,0]=>5604 [1,0,1,1,1,0,1,1,0,0,0,0,1,1,0,0]=>5440 [1,0,1,1,1,0,1,1,0,0,0,1,0,0,1,0]=>5514 [1,0,1,1,1,0,1,1,0,0,0,1,0,1,0,0]=>5380 [1,0,1,1,1,0,1,1,0,0,0,1,1,0,0,0]=>5112 [1,0,1,1,1,0,1,1,0,0,1,0,0,0,1,0]=>5304 [1,0,1,1,1,0,1,1,0,0,1,0,0,1,0,0]=>5200 [1,0,1,1,1,0,1,1,0,0,1,0,1,0,0,0]=>4992 [1,0,1,1,1,0,1,1,0,0,1,1,0,0,0,0]=>4576 [1,0,1,1,1,0,1,1,0,1,0,0,0,0,1,0]=>4854 [1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0]=>4780 [1,0,1,1,1,0,1,1,0,1,0,0,1,0,0,0]=>4632 [1,0,1,1,1,0,1,1,0,1,0,1,0,0,0,0]=>4336 [1,0,1,1,1,0,1,1,0,1,1,0,0,0,0,0]=>3744 [1,0,1,1,1,0,1,1,1,0,0,0,0,0,1,0]=>3924 [1,0,1,1,1,0,1,1,1,0,0,0,0,1,0,0]=>3880 [1,0,1,1,1,0,1,1,1,0,0,0,1,0,0,0]=>3792 [1,0,1,1,1,0,1,1,1,0,0,1,0,0,0,0]=>3616 [1,0,1,1,1,0,1,1,1,0,1,0,0,0,0,0]=>3264 [1,0,1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>2560 [1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0]=>5562 [1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0]=>5348 [1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>5406 [1,0,1,1,1,1,0,0,0,0,1,1,0,1,0,0]=>5244 [1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>4920 [1,0,1,1,1,1,0,0,0,1,0,0,1,0,1,0]=>5462 [1,0,1,1,1,1,0,0,0,1,0,0,1,1,0,0]=>5268 [1,0,1,1,1,1,0,0,0,1,0,1,0,0,1,0]=>5336 [1,0,1,1,1,1,0,0,0,1,0,1,0,1,0,0]=>5184 [1,0,1,1,1,1,0,0,0,1,0,1,1,0,0,0]=>4880 [1,0,1,1,1,1,0,0,0,1,1,0,0,0,1,0]=>5042 [1,0,1,1,1,1,0,0,0,1,1,0,0,1,0,0]=>4932 [1,0,1,1,1,1,0,0,0,1,1,0,1,0,0,0]=>4712 [1,0,1,1,1,1,0,0,0,1,1,1,0,0,0,0]=>4272 [1,0,1,1,1,1,0,0,1,0,0,0,1,0,1,0]=>5212 [1,0,1,1,1,1,0,0,1,0,0,0,1,1,0,0]=>5048 [1,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0]=>5116 [1,0,1,1,1,1,0,0,1,0,0,1,0,1,0,0]=>4984 [1,0,1,1,1,1,0,0,1,0,0,1,1,0,0,0]=>4720 [1,0,1,1,1,1,0,0,1,0,1,0,0,0,1,0]=>4892 [1,0,1,1,1,1,0,0,1,0,1,0,0,1,0,0]=>4792 [1,0,1,1,1,1,0,0,1,0,1,0,1,0,0,0]=>4592 [1,0,1,1,1,1,0,0,1,0,1,1,0,0,0,0]=>4192 [1,0,1,1,1,1,0,0,1,1,0,0,0,0,1,0]=>4412 [1,0,1,1,1,1,0,0,1,1,0,0,0,1,0,0]=>4344 [1,0,1,1,1,1,0,0,1,1,0,0,1,0,0,0]=>4208 [1,0,1,1,1,1,0,0,1,1,0,1,0,0,0,0]=>3936 [1,0,1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>3392 [1,0,1,1,1,1,0,1,0,0,0,0,1,0,1,0]=>4652 [1,0,1,1,1,1,0,1,0,0,0,0,1,1,0,0]=>4528 [1,0,1,1,1,1,0,1,0,0,0,1,0,0,1,0]=>4586 [1,0,1,1,1,1,0,1,0,0,0,1,0,1,0,0]=>4484 [1,0,1,1,1,1,0,1,0,0,0,1,1,0,0,0]=>4280 [1,0,1,1,1,1,0,1,0,0,1,0,0,0,1,0]=>4432 [1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0]=>4352 [1,0,1,1,1,1,0,1,0,0,1,0,1,0,0,0]=>4192 [1,0,1,1,1,1,0,1,0,0,1,1,0,0,0,0]=>3872 [1,0,1,1,1,1,0,1,0,1,0,0,0,0,1,0]=>4102 [1,0,1,1,1,1,0,1,0,1,0,0,0,1,0,0]=>4044 [1,0,1,1,1,1,0,1,0,1,0,0,1,0,0,0]=>3928 [1,0,1,1,1,1,0,1,0,1,0,1,0,0,0,0]=>3696 [1,0,1,1,1,1,0,1,0,1,1,0,0,0,0,0]=>3232 [1,0,1,1,1,1,0,1,1,0,0,0,0,0,1,0]=>3420 [1,0,1,1,1,1,0,1,1,0,0,0,0,1,0,0]=>3384 [1,0,1,1,1,1,0,1,1,0,0,0,1,0,0,0]=>3312 [1,0,1,1,1,1,0,1,1,0,0,1,0,0,0,0]=>3168 [1,0,1,1,1,1,0,1,1,0,1,0,0,0,0,0]=>2880 [1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>2304 [1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0]=>3462 [1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0]=>3388 [1,0,1,1,1,1,1,0,0,0,0,1,0,0,1,0]=>3426 [1,0,1,1,1,1,1,0,0,0,0,1,0,1,0,0]=>3364 [1,0,1,1,1,1,1,0,0,0,0,1,1,0,0,0]=>3240 [1,0,1,1,1,1,1,0,0,0,1,0,0,0,1,0]=>3342 [1,0,1,1,1,1,1,0,0,0,1,0,0,1,0,0]=>3292 [1,0,1,1,1,1,1,0,0,0,1,0,1,0,0,0]=>3192 [1,0,1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>2992 [1,0,1,1,1,1,1,0,0,1,0,0,0,0,1,0]=>3162 [1,0,1,1,1,1,1,0,0,1,0,0,0,1,0,0]=>3124 [1,0,1,1,1,1,1,0,0,1,0,0,1,0,0,0]=>3048 [1,0,1,1,1,1,1,0,0,1,0,1,0,0,0,0]=>2896 [1,0,1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>2592 [1,0,1,1,1,1,1,0,1,0,0,0,0,0,1,0]=>2790 [1,0,1,1,1,1,1,0,1,0,0,0,0,1,0,0]=>2764 [1,0,1,1,1,1,1,0,1,0,0,0,1,0,0,0]=>2712 [1,0,1,1,1,1,1,0,1,0,0,1,0,0,0,0]=>2608 [1,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0]=>2400 [1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>1984 [1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>2034 [1,0,1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>2020 [1,0,1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>1992 [1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>1936 [1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>1824 [1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>1600 [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1152 [1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0]=>9438 [1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0]=>8844 [1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0]=>8898 [1,1,0,0,1,0,1,0,1,0,1,1,0,1,0,0]=>8484 [1,1,0,0,1,0,1,0,1,0,1,1,1,0,0,0]=>7656 [1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0]=>8878 [1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0]=>8396 [1,1,0,0,1,0,1,0,1,1,0,1,0,0,1,0]=>8506 [1,1,0,0,1,0,1,0,1,1,0,1,0,1,0,0]=>8148 [1,1,0,0,1,0,1,0,1,1,0,1,1,0,0,0]=>7432 [1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0]=>7638 [1,1,0,0,1,0,1,0,1,1,1,0,0,1,0,0]=>7404 [1,1,0,0,1,0,1,0,1,1,1,0,1,0,0,0]=>6936 [1,1,0,0,1,0,1,0,1,1,1,1,0,0,0,0]=>6000 [1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0]=>8808 [1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>8304 [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>8376 [1,1,0,0,1,0,1,1,0,0,1,1,0,1,0,0]=>8016 [1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]=>7296 [1,1,0,0,1,0,1,1,0,1,0,0,1,0,1,0]=>8428 [1,1,0,0,1,0,1,1,0,1,0,0,1,1,0,0]=>8000 [1,1,0,0,1,0,1,1,0,1,0,1,0,0,1,0]=>8110 [1,1,0,0,1,0,1,1,0,1,0,1,0,1,0,0]=>7788 [1,1,0,0,1,0,1,1,0,1,0,1,1,0,0,0]=>7144 [1,1,0,0,1,0,1,1,0,1,1,0,0,0,1,0]=>7368 [1,1,0,0,1,0,1,1,0,1,1,0,0,1,0,0]=>7152 [1,1,0,0,1,0,1,1,0,1,1,0,1,0,0,0]=>6720 [1,1,0,0,1,0,1,1,0,1,1,1,0,0,0,0]=>5856 [1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0]=>7478 [1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>7164 [1,1,0,0,1,0,1,1,1,0,0,1,0,0,1,0]=>7274 [1,1,0,0,1,0,1,1,1,0,0,1,0,1,0,0]=>7028 [1,1,0,0,1,0,1,1,1,0,0,1,1,0,0,0]=>6536 [1,1,0,0,1,0,1,1,1,0,1,0,0,0,1,0]=>6798 [1,1,0,0,1,0,1,1,1,0,1,0,0,1,0,0]=>6620 [1,1,0,0,1,0,1,1,1,0,1,0,1,0,0,0]=>6264 [1,1,0,0,1,0,1,1,1,0,1,1,0,0,0,0]=>5552 [1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0]=>5778 [1,1,0,0,1,0,1,1,1,1,0,0,0,1,0,0]=>5668 [1,1,0,0,1,0,1,1,1,1,0,0,1,0,0,0]=>5448 [1,1,0,0,1,0,1,1,1,1,0,1,0,0,0,0]=>5008 [1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0]=>4128 [1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0]=>8682 [1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0]=>8172 [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>8232 [1,1,0,0,1,1,0,0,1,0,1,1,0,1,0,0]=>7872 [1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>7152 [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>8242 [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7820 [1,1,0,0,1,1,0,0,1,1,0,1,0,0,1,0]=>7924 [1,1,0,0,1,1,0,0,1,1,0,1,0,1,0,0]=>7608 [1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0]=>6976 [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>7182 [1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0]=>6972 [1,1,0,0,1,1,0,0,1,1,1,0,1,0,0,0]=>6552 [1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0]=>5712 [1,1,0,0,1,1,0,1,0,0,1,0,1,0,1,0]=>8262 [1,1,0,0,1,1,0,1,0,0,1,0,1,1,0,0]=>7812 [1,1,0,0,1,1,0,1,0,0,1,1,0,0,1,0]=>7884 [1,1,0,0,1,1,0,1,0,0,1,1,0,1,0,0]=>7560 [1,1,0,0,1,1,0,1,0,0,1,1,1,0,0,0]=>6912 [1,1,0,0,1,1,0,1,0,1,0,0,1,0,1,0]=>7942 [1,1,0,0,1,1,0,1,0,1,0,0,1,1,0,0]=>7556 [1,1,0,0,1,1,0,1,0,1,0,1,0,0,1,0]=>7660 [1,1,0,0,1,1,0,1,0,1,0,1,0,1,0,0]=>7368 [1,1,0,0,1,1,0,1,0,1,0,1,1,0,0,0]=>6784 [1,1,0,0,1,1,0,1,0,1,1,0,0,0,1,0]=>7002 [1,1,0,0,1,1,0,1,0,1,1,0,0,1,0,0]=>6804 [1,1,0,0,1,1,0,1,0,1,1,0,1,0,0,0]=>6408 [1,1,0,0,1,1,0,1,0,1,1,1,0,0,0,0]=>5616 [1,1,0,0,1,1,0,1,1,0,0,0,1,0,1,0]=>7142 [1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0]=>6852 [1,1,0,0,1,1,0,1,1,0,0,1,0,0,1,0]=>6956 [1,1,0,0,1,1,0,1,1,0,0,1,0,1,0,0]=>6728 [1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0]=>6272 [1,1,0,0,1,1,0,1,1,0,1,0,0,0,1,0]=>6522 [1,1,0,0,1,1,0,1,1,0,1,0,0,1,0,0]=>6356 [1,1,0,0,1,1,0,1,1,0,1,0,1,0,0,0]=>6024 [1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0]=>5360 [1,1,0,0,1,1,0,1,1,1,0,0,0,0,1,0]=>5592 [1,1,0,0,1,1,0,1,1,1,0,0,0,1,0,0]=>5488 [1,1,0,0,1,1,0,1,1,1,0,0,1,0,0,0]=>5280 [1,1,0,0,1,1,0,1,1,1,0,1,0,0,0,0]=>4864 [1,1,0,0,1,1,0,1,1,1,1,0,0,0,0,0]=>4032 [1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0]=>7170 [1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>6828 [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6900 [1,1,0,0,1,1,1,0,0,0,1,1,0,1,0,0]=>6648 [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>6144 [1,1,0,0,1,1,1,0,0,1,0,0,1,0,1,0]=>6970 [1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0]=>6668 [1,1,0,0,1,1,1,0,0,1,0,1,0,0,1,0]=>6760 [1,1,0,0,1,1,1,0,0,1,0,1,0,1,0,0]=>6528 [1,1,0,0,1,1,1,0,0,1,0,1,1,0,0,0]=>6064 [1,1,0,0,1,1,1,0,0,1,1,0,0,0,1,0]=>6270 [1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0]=>6108 [1,1,0,0,1,1,1,0,0,1,1,0,1,0,0,0]=>5784 [1,1,0,0,1,1,1,0,0,1,1,1,0,0,0,0]=>5136 [1,1,0,0,1,1,1,0,1,0,0,0,1,0,1,0]=>6470 [1,1,0,0,1,1,1,0,1,0,0,0,1,1,0,0]=>6228 [1,1,0,0,1,1,1,0,1,0,0,1,0,0,1,0]=>6320 [1,1,0,0,1,1,1,0,1,0,0,1,0,1,0,0]=>6128 [1,1,0,0,1,1,1,0,1,0,0,1,1,0,0,0]=>5744 [1,1,0,0,1,1,1,0,1,0,1,0,0,0,1,0]=>5970 [1,1,0,0,1,1,1,0,1,0,1,0,0,1,0,0]=>5828 [1,1,0,0,1,1,1,0,1,0,1,0,1,0,0,0]=>5544 [1,1,0,0,1,1,1,0,1,0,1,1,0,0,0,0]=>4976 [1,1,0,0,1,1,1,0,1,1,0,0,0,0,1,0]=>5220 [1,1,0,0,1,1,1,0,1,1,0,0,0,1,0,0]=>5128 [1,1,0,0,1,1,1,0,1,1,0,0,1,0,0,0]=>4944 [1,1,0,0,1,1,1,0,1,1,0,1,0,0,0,0]=>4576 [1,1,0,0,1,1,1,0,1,1,1,0,0,0,0,0]=>3840 [1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0]=>5350 [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]=>5188 [1,1,0,0,1,1,1,1,0,0,0,1,0,0,1,0]=>5260 [1,1,0,0,1,1,1,1,0,0,0,1,0,1,0,0]=>5128 [1,1,0,0,1,1,1,1,0,0,0,1,1,0,0,0]=>4864 [1,1,0,0,1,1,1,1,0,0,1,0,0,0,1,0]=>5050 [1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0]=>4948 [1,1,0,0,1,1,1,1,0,0,1,0,1,0,0,0]=>4744 [1,1,0,0,1,1,1,1,0,0,1,1,0,0,0,0]=>4336 [1,1,0,0,1,1,1,1,0,1,0,0,0,0,1,0]=>4600 [1,1,0,0,1,1,1,1,0,1,0,0,0,1,0,0]=>4528 [1,1,0,0,1,1,1,1,0,1,0,0,1,0,0,0]=>4384 [1,1,0,0,1,1,1,1,0,1,0,1,0,0,0,0]=>4096 [1,1,0,0,1,1,1,1,0,1,1,0,0,0,0,0]=>3520 [1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0]=>3670 [1,1,0,0,1,1,1,1,1,0,0,0,0,1,0,0]=>3628 [1,1,0,0,1,1,1,1,1,0,0,0,1,0,0,0]=>3544 [1,1,0,0,1,1,1,1,1,0,0,1,0,0,0,0]=>3376 [1,1,0,0,1,1,1,1,1,0,1,0,0,0,0,0]=>3040 [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>2368 [1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0]=>8514 [1,1,0,1,0,0,1,0,1,0,1,0,1,1,0,0]=>8004 [1,1,0,1,0,0,1,0,1,0,1,1,0,0,1,0]=>8058 [1,1,0,1,0,0,1,0,1,0,1,1,0,1,0,0]=>7700 [1,1,0,1,0,0,1,0,1,0,1,1,1,0,0,0]=>6984 [1,1,0,1,0,0,1,0,1,1,0,0,1,0,1,0]=>8054 [1,1,0,1,0,0,1,0,1,1,0,0,1,1,0,0]=>7636 [1,1,0,1,0,0,1,0,1,1,0,1,0,0,1,0]=>7736 [1,1,0,1,0,0,1,0,1,1,0,1,0,1,0,0]=>7424 [1,1,0,1,0,0,1,0,1,1,0,1,1,0,0,0]=>6800 [1,1,0,1,0,0,1,0,1,1,1,0,0,0,1,0]=>6994 [1,1,0,1,0,0,1,0,1,1,1,0,0,1,0,0]=>6788 [1,1,0,1,0,0,1,0,1,1,1,0,1,0,0,0]=>6376 [1,1,0,1,0,0,1,0,1,1,1,1,0,0,0,0]=>5552
search for individual values
searching the database for the individual values of this statistic
/ search for generating function
searching the database for statistics with the same generating function
click to show known generating functions       
Description
The number of lattice paths of the same length that stay weakly above a Dyck path.
In particular, the statistic value is $2^n$ for the Dyck path consisting of $n$ north steps followed by $n$ east steps and the central binomial coefficient $\binom{2n}{n}$ for the Dyck path consisting of $n$ alternating north and east steps.
The number of such paths is always even: the final step of a Dyck path $D$ must be a down step. Thus, the final step of a path above $D$ can be arbitrarily chosen.
Code
@cached_function
def all_paths_above(L, i=0):
    if i < 0:
        return []
    elif len(L) == 0:
        return [tuple()]

    else:
        steps = []
        if L[0] == 1:
            steps.append((1,i))
            steps.append((0,i-1))
        if L[0] == 0:
            steps.append((1,i+1))
            steps.append((0,i))
        return [ tuple([a]) + path for a,i in steps for path in all_paths_above(L[1:],i)]

def statistic(D):
    return len(all_paths_above(tuple(D)))
Created
Mar 04, 2019 at 14:56 by Christian Stump
Updated
Mar 10, 2019 at 08:02 by Martin Rubey