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Identifier
Values
=>
Cc0005;cc-rep
[1,0]=>1 [1,0,1,0]=>1 [1,1,0,0]=>2 [1,0,1,0,1,0]=>1 [1,0,1,1,0,0]=>2 [1,1,0,0,1,0]=>2 [1,1,0,1,0,0]=>4 [1,1,1,0,0,0]=>6 [1,0,1,0,1,0,1,0]=>1 [1,0,1,0,1,1,0,0]=>2 [1,0,1,1,0,0,1,0]=>2 [1,0,1,1,0,1,0,0]=>4 [1,0,1,1,1,0,0,0]=>6 [1,1,0,0,1,0,1,0]=>2 [1,1,0,0,1,1,0,0]=>4 [1,1,0,1,0,0,1,0]=>4 [1,1,0,1,0,1,0,0]=>8 [1,1,0,1,1,0,0,0]=>12 [1,1,1,0,0,0,1,0]=>6 [1,1,1,0,0,1,0,0]=>12 [1,1,1,0,1,0,0,0]=>18 [1,1,1,1,0,0,0,0]=>24 [1,0,1,0,1,0,1,0,1,0]=>1 [1,0,1,0,1,0,1,1,0,0]=>2 [1,0,1,0,1,1,0,0,1,0]=>2 [1,0,1,0,1,1,0,1,0,0]=>4 [1,0,1,0,1,1,1,0,0,0]=>6 [1,0,1,1,0,0,1,0,1,0]=>2 [1,0,1,1,0,0,1,1,0,0]=>4 [1,0,1,1,0,1,0,0,1,0]=>4 [1,0,1,1,0,1,0,1,0,0]=>8 [1,0,1,1,0,1,1,0,0,0]=>12 [1,0,1,1,1,0,0,0,1,0]=>6 [1,0,1,1,1,0,0,1,0,0]=>12 [1,0,1,1,1,0,1,0,0,0]=>18 [1,0,1,1,1,1,0,0,0,0]=>24 [1,1,0,0,1,0,1,0,1,0]=>2 [1,1,0,0,1,0,1,1,0,0]=>4 [1,1,0,0,1,1,0,0,1,0]=>4 [1,1,0,0,1,1,0,1,0,0]=>8 [1,1,0,0,1,1,1,0,0,0]=>12 [1,1,0,1,0,0,1,0,1,0]=>4 [1,1,0,1,0,0,1,1,0,0]=>8 [1,1,0,1,0,1,0,0,1,0]=>8 [1,1,0,1,0,1,0,1,0,0]=>16 [1,1,0,1,0,1,1,0,0,0]=>24 [1,1,0,1,1,0,0,0,1,0]=>12 [1,1,0,1,1,0,0,1,0,0]=>24 [1,1,0,1,1,0,1,0,0,0]=>36 [1,1,0,1,1,1,0,0,0,0]=>48 [1,1,1,0,0,0,1,0,1,0]=>6 [1,1,1,0,0,0,1,1,0,0]=>12 [1,1,1,0,0,1,0,0,1,0]=>12 [1,1,1,0,0,1,0,1,0,0]=>24 [1,1,1,0,0,1,1,0,0,0]=>36 [1,1,1,0,1,0,0,0,1,0]=>18 [1,1,1,0,1,0,0,1,0,0]=>36 [1,1,1,0,1,0,1,0,0,0]=>54 [1,1,1,0,1,1,0,0,0,0]=>72 [1,1,1,1,0,0,0,0,1,0]=>24 [1,1,1,1,0,0,0,1,0,0]=>48 [1,1,1,1,0,0,1,0,0,0]=>72 [1,1,1,1,0,1,0,0,0,0]=>96 [1,1,1,1,1,0,0,0,0,0]=>120 [1,0,1,0,1,0,1,0,1,0,1,0]=>1 [1,0,1,0,1,0,1,0,1,1,0,0]=>2 [1,0,1,0,1,0,1,1,0,0,1,0]=>2 [1,0,1,0,1,0,1,1,0,1,0,0]=>4 [1,0,1,0,1,0,1,1,1,0,0,0]=>6 [1,0,1,0,1,1,0,0,1,0,1,0]=>2 [1,0,1,0,1,1,0,0,1,1,0,0]=>4 [1,0,1,0,1,1,0,1,0,0,1,0]=>4 [1,0,1,0,1,1,0,1,0,1,0,0]=>8 [1,0,1,0,1,1,0,1,1,0,0,0]=>12 [1,0,1,0,1,1,1,0,0,0,1,0]=>6 [1,0,1,0,1,1,1,0,0,1,0,0]=>12 [1,0,1,0,1,1,1,0,1,0,0,0]=>18 [1,0,1,0,1,1,1,1,0,0,0,0]=>24 [1,0,1,1,0,0,1,0,1,0,1,0]=>2 [1,0,1,1,0,0,1,0,1,1,0,0]=>4 [1,0,1,1,0,0,1,1,0,0,1,0]=>4 [1,0,1,1,0,0,1,1,0,1,0,0]=>8 [1,0,1,1,0,0,1,1,1,0,0,0]=>12 [1,0,1,1,0,1,0,0,1,0,1,0]=>4 [1,0,1,1,0,1,0,0,1,1,0,0]=>8 [1,0,1,1,0,1,0,1,0,0,1,0]=>8 [1,0,1,1,0,1,0,1,0,1,0,0]=>16 [1,0,1,1,0,1,0,1,1,0,0,0]=>24 [1,0,1,1,0,1,1,0,0,0,1,0]=>12 [1,0,1,1,0,1,1,0,0,1,0,0]=>24 [1,0,1,1,0,1,1,0,1,0,0,0]=>36 [1,0,1,1,0,1,1,1,0,0,0,0]=>48 [1,0,1,1,1,0,0,0,1,0,1,0]=>6 [1,0,1,1,1,0,0,0,1,1,0,0]=>12 [1,0,1,1,1,0,0,1,0,0,1,0]=>12 [1,0,1,1,1,0,0,1,0,1,0,0]=>24 [1,0,1,1,1,0,0,1,1,0,0,0]=>36 [1,0,1,1,1,0,1,0,0,0,1,0]=>18 [1,0,1,1,1,0,1,0,0,1,0,0]=>36 [1,0,1,1,1,0,1,0,1,0,0,0]=>54 [1,0,1,1,1,0,1,1,0,0,0,0]=>72 [1,0,1,1,1,1,0,0,0,0,1,0]=>24 [1,0,1,1,1,1,0,0,0,1,0,0]=>48 [1,0,1,1,1,1,0,0,1,0,0,0]=>72 [1,0,1,1,1,1,0,1,0,0,0,0]=>96 [1,0,1,1,1,1,1,0,0,0,0,0]=>120 [1,1,0,0,1,0,1,0,1,0,1,0]=>2 [1,1,0,0,1,0,1,0,1,1,0,0]=>4 [1,1,0,0,1,0,1,1,0,0,1,0]=>4 [1,1,0,0,1,0,1,1,0,1,0,0]=>8 [1,1,0,0,1,0,1,1,1,0,0,0]=>12 [1,1,0,0,1,1,0,0,1,0,1,0]=>4 [1,1,0,0,1,1,0,0,1,1,0,0]=>8 [1,1,0,0,1,1,0,1,0,0,1,0]=>8 [1,1,0,0,1,1,0,1,0,1,0,0]=>16 [1,1,0,0,1,1,0,1,1,0,0,0]=>24 [1,1,0,0,1,1,1,0,0,0,1,0]=>12 [1,1,0,0,1,1,1,0,0,1,0,0]=>24 [1,1,0,0,1,1,1,0,1,0,0,0]=>36 [1,1,0,0,1,1,1,1,0,0,0,0]=>48 [1,1,0,1,0,0,1,0,1,0,1,0]=>4 [1,1,0,1,0,0,1,0,1,1,0,0]=>8 [1,1,0,1,0,0,1,1,0,0,1,0]=>8 [1,1,0,1,0,0,1,1,0,1,0,0]=>16 [1,1,0,1,0,0,1,1,1,0,0,0]=>24 [1,1,0,1,0,1,0,0,1,0,1,0]=>8 [1,1,0,1,0,1,0,0,1,1,0,0]=>16 [1,1,0,1,0,1,0,1,0,0,1,0]=>16 [1,1,0,1,0,1,0,1,0,1,0,0]=>32 [1,1,0,1,0,1,0,1,1,0,0,0]=>48 [1,1,0,1,0,1,1,0,0,0,1,0]=>24 [1,1,0,1,0,1,1,0,0,1,0,0]=>48 [1,1,0,1,0,1,1,0,1,0,0,0]=>72 [1,1,0,1,0,1,1,1,0,0,0,0]=>96 [1,1,0,1,1,0,0,0,1,0,1,0]=>12 [1,1,0,1,1,0,0,0,1,1,0,0]=>24 [1,1,0,1,1,0,0,1,0,0,1,0]=>24 [1,1,0,1,1,0,0,1,0,1,0,0]=>48 [1,1,0,1,1,0,0,1,1,0,0,0]=>72 [1,1,0,1,1,0,1,0,0,0,1,0]=>36 [1,1,0,1,1,0,1,0,0,1,0,0]=>72 [1,1,0,1,1,0,1,0,1,0,0,0]=>108 [1,1,0,1,1,0,1,1,0,0,0,0]=>144 [1,1,0,1,1,1,0,0,0,0,1,0]=>48 [1,1,0,1,1,1,0,0,0,1,0,0]=>96 [1,1,0,1,1,1,0,0,1,0,0,0]=>144 [1,1,0,1,1,1,0,1,0,0,0,0]=>192 [1,1,0,1,1,1,1,0,0,0,0,0]=>240 [1,1,1,0,0,0,1,0,1,0,1,0]=>6 [1,1,1,0,0,0,1,0,1,1,0,0]=>12 [1,1,1,0,0,0,1,1,0,0,1,0]=>12 [1,1,1,0,0,0,1,1,0,1,0,0]=>24 [1,1,1,0,0,0,1,1,1,0,0,0]=>36 [1,1,1,0,0,1,0,0,1,0,1,0]=>12 [1,1,1,0,0,1,0,0,1,1,0,0]=>24 [1,1,1,0,0,1,0,1,0,0,1,0]=>24 [1,1,1,0,0,1,0,1,0,1,0,0]=>48 [1,1,1,0,0,1,0,1,1,0,0,0]=>72 [1,1,1,0,0,1,1,0,0,0,1,0]=>36 [1,1,1,0,0,1,1,0,0,1,0,0]=>72 [1,1,1,0,0,1,1,0,1,0,0,0]=>108 [1,1,1,0,0,1,1,1,0,0,0,0]=>144 [1,1,1,0,1,0,0,0,1,0,1,0]=>18 [1,1,1,0,1,0,0,0,1,1,0,0]=>36 [1,1,1,0,1,0,0,1,0,0,1,0]=>36 [1,1,1,0,1,0,0,1,0,1,0,0]=>72 [1,1,1,0,1,0,0,1,1,0,0,0]=>108 [1,1,1,0,1,0,1,0,0,0,1,0]=>54 [1,1,1,0,1,0,1,0,0,1,0,0]=>108 [1,1,1,0,1,0,1,0,1,0,0,0]=>162 [1,1,1,0,1,0,1,1,0,0,0,0]=>216 [1,1,1,0,1,1,0,0,0,0,1,0]=>72 [1,1,1,0,1,1,0,0,0,1,0,0]=>144 [1,1,1,0,1,1,0,0,1,0,0,0]=>216 [1,1,1,0,1,1,0,1,0,0,0,0]=>288 [1,1,1,0,1,1,1,0,0,0,0,0]=>360 [1,1,1,1,0,0,0,0,1,0,1,0]=>24 [1,1,1,1,0,0,0,0,1,1,0,0]=>48 [1,1,1,1,0,0,0,1,0,0,1,0]=>48 [1,1,1,1,0,0,0,1,0,1,0,0]=>96 [1,1,1,1,0,0,0,1,1,0,0,0]=>144 [1,1,1,1,0,0,1,0,0,0,1,0]=>72 [1,1,1,1,0,0,1,0,0,1,0,0]=>144 [1,1,1,1,0,0,1,0,1,0,0,0]=>216 [1,1,1,1,0,0,1,1,0,0,0,0]=>288 [1,1,1,1,0,1,0,0,0,0,1,0]=>96 [1,1,1,1,0,1,0,0,0,1,0,0]=>192 [1,1,1,1,0,1,0,0,1,0,0,0]=>288 [1,1,1,1,0,1,0,1,0,0,0,0]=>384 [1,1,1,1,0,1,1,0,0,0,0,0]=>480 [1,1,1,1,1,0,0,0,0,0,1,0]=>120 [1,1,1,1,1,0,0,0,0,1,0,0]=>240 [1,1,1,1,1,0,0,0,1,0,0,0]=>360 [1,1,1,1,1,0,0,1,0,0,0,0]=>480 [1,1,1,1,1,0,1,0,0,0,0,0]=>600 [1,1,1,1,1,1,0,0,0,0,0,0]=>720 [1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>1 [1,0,1,0,1,0,1,0,1,0,1,1,0,0]=>2 [1,0,1,0,1,0,1,0,1,1,0,0,1,0]=>2 [1,0,1,0,1,0,1,0,1,1,0,1,0,0]=>4 [1,0,1,0,1,0,1,0,1,1,1,0,0,0]=>6 [1,0,1,0,1,0,1,1,0,0,1,0,1,0]=>2 [1,0,1,0,1,0,1,1,0,0,1,1,0,0]=>4 [1,0,1,0,1,0,1,1,0,1,0,0,1,0]=>4 [1,0,1,0,1,0,1,1,0,1,0,1,0,0]=>8 [1,0,1,0,1,0,1,1,0,1,1,0,0,0]=>12 [1,0,1,0,1,0,1,1,1,0,0,0,1,0]=>6 [1,0,1,0,1,0,1,1,1,0,0,1,0,0]=>12 [1,0,1,0,1,0,1,1,1,0,1,0,0,0]=>18 [1,0,1,0,1,0,1,1,1,1,0,0,0,0]=>24 [1,0,1,0,1,1,0,0,1,0,1,0,1,0]=>2 [1,0,1,0,1,1,0,0,1,0,1,1,0,0]=>4 [1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>4 [1,0,1,0,1,1,0,0,1,1,0,1,0,0]=>8 [1,0,1,0,1,1,0,0,1,1,1,0,0,0]=>12 [1,0,1,0,1,1,0,1,0,0,1,0,1,0]=>4 [1,0,1,0,1,1,0,1,0,0,1,1,0,0]=>8 [1,0,1,0,1,1,0,1,0,1,0,0,1,0]=>8 [1,0,1,0,1,1,0,1,0,1,0,1,0,0]=>16 [1,0,1,0,1,1,0,1,0,1,1,0,0,0]=>24 [1,0,1,0,1,1,0,1,1,0,0,0,1,0]=>12 [1,0,1,0,1,1,0,1,1,0,0,1,0,0]=>24 [1,0,1,0,1,1,0,1,1,0,1,0,0,0]=>36 [1,0,1,0,1,1,0,1,1,1,0,0,0,0]=>48 [1,0,1,0,1,1,1,0,0,0,1,0,1,0]=>6 [1,0,1,0,1,1,1,0,0,0,1,1,0,0]=>12 [1,0,1,0,1,1,1,0,0,1,0,0,1,0]=>12 [1,0,1,0,1,1,1,0,0,1,0,1,0,0]=>24 [1,0,1,0,1,1,1,0,0,1,1,0,0,0]=>36 [1,0,1,0,1,1,1,0,1,0,0,0,1,0]=>18 [1,0,1,0,1,1,1,0,1,0,0,1,0,0]=>36 [1,0,1,0,1,1,1,0,1,0,1,0,0,0]=>54 [1,0,1,0,1,1,1,0,1,1,0,0,0,0]=>72 [1,0,1,0,1,1,1,1,0,0,0,0,1,0]=>24 [1,0,1,0,1,1,1,1,0,0,0,1,0,0]=>48 [1,0,1,0,1,1,1,1,0,0,1,0,0,0]=>72 [1,0,1,0,1,1,1,1,0,1,0,0,0,0]=>96 [1,0,1,0,1,1,1,1,1,0,0,0,0,0]=>120 [1,0,1,1,0,0,1,0,1,0,1,0,1,0]=>2 [1,0,1,1,0,0,1,0,1,0,1,1,0,0]=>4 [1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [1,0,1,1,0,0,1,0,1,1,0,1,0,0]=>8 [1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>12 [1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>8 [1,0,1,1,0,0,1,1,0,1,0,0,1,0]=>8 [1,0,1,1,0,0,1,1,0,1,0,1,0,0]=>16 [1,0,1,1,0,0,1,1,0,1,1,0,0,0]=>24 [1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>12 [1,0,1,1,0,0,1,1,1,0,0,1,0,0]=>24 [1,0,1,1,0,0,1,1,1,0,1,0,0,0]=>36 [1,0,1,1,0,0,1,1,1,1,0,0,0,0]=>48 [1,0,1,1,0,1,0,0,1,0,1,0,1,0]=>4 [1,0,1,1,0,1,0,0,1,0,1,1,0,0]=>8 [1,0,1,1,0,1,0,0,1,1,0,0,1,0]=>8 [1,0,1,1,0,1,0,0,1,1,0,1,0,0]=>16 [1,0,1,1,0,1,0,0,1,1,1,0,0,0]=>24 [1,0,1,1,0,1,0,1,0,0,1,0,1,0]=>8 [1,0,1,1,0,1,0,1,0,0,1,1,0,0]=>16 [1,0,1,1,0,1,0,1,0,1,0,0,1,0]=>16 [1,0,1,1,0,1,0,1,0,1,0,1,0,0]=>32 [1,0,1,1,0,1,0,1,0,1,1,0,0,0]=>48 [1,0,1,1,0,1,0,1,1,0,0,0,1,0]=>24 [1,0,1,1,0,1,0,1,1,0,0,1,0,0]=>48 [1,0,1,1,0,1,0,1,1,0,1,0,0,0]=>72 [1,0,1,1,0,1,0,1,1,1,0,0,0,0]=>96 [1,0,1,1,0,1,1,0,0,0,1,0,1,0]=>12 [1,0,1,1,0,1,1,0,0,0,1,1,0,0]=>24 [1,0,1,1,0,1,1,0,0,1,0,0,1,0]=>24 [1,0,1,1,0,1,1,0,0,1,0,1,0,0]=>48 [1,0,1,1,0,1,1,0,0,1,1,0,0,0]=>72 [1,0,1,1,0,1,1,0,1,0,0,0,1,0]=>36 [1,0,1,1,0,1,1,0,1,0,0,1,0,0]=>72 [1,0,1,1,0,1,1,0,1,0,1,0,0,0]=>108 [1,0,1,1,0,1,1,0,1,1,0,0,0,0]=>144 [1,0,1,1,0,1,1,1,0,0,0,0,1,0]=>48 [1,0,1,1,0,1,1,1,0,0,0,1,0,0]=>96 [1,0,1,1,0,1,1,1,0,0,1,0,0,0]=>144 [1,0,1,1,0,1,1,1,0,1,0,0,0,0]=>192 [1,0,1,1,0,1,1,1,1,0,0,0,0,0]=>240 [1,0,1,1,1,0,0,0,1,0,1,0,1,0]=>6 [1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>12 [1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>12 [1,0,1,1,1,0,0,0,1,1,0,1,0,0]=>24 [1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>36 [1,0,1,1,1,0,0,1,0,0,1,0,1,0]=>12 [1,0,1,1,1,0,0,1,0,0,1,1,0,0]=>24 [1,0,1,1,1,0,0,1,0,1,0,0,1,0]=>24 [1,0,1,1,1,0,0,1,0,1,0,1,0,0]=>48 [1,0,1,1,1,0,0,1,0,1,1,0,0,0]=>72 [1,0,1,1,1,0,0,1,1,0,0,0,1,0]=>36 [1,0,1,1,1,0,0,1,1,0,0,1,0,0]=>72 [1,0,1,1,1,0,0,1,1,0,1,0,0,0]=>108 [1,0,1,1,1,0,0,1,1,1,0,0,0,0]=>144 [1,0,1,1,1,0,1,0,0,0,1,0,1,0]=>18 [1,0,1,1,1,0,1,0,0,0,1,1,0,0]=>36 [1,0,1,1,1,0,1,0,0,1,0,0,1,0]=>36 [1,0,1,1,1,0,1,0,0,1,0,1,0,0]=>72 [1,0,1,1,1,0,1,0,0,1,1,0,0,0]=>108 [1,0,1,1,1,0,1,0,1,0,0,0,1,0]=>54 [1,0,1,1,1,0,1,0,1,0,0,1,0,0]=>108 [1,0,1,1,1,0,1,0,1,0,1,0,0,0]=>162 [1,0,1,1,1,0,1,0,1,1,0,0,0,0]=>216 [1,0,1,1,1,0,1,1,0,0,0,0,1,0]=>72 [1,0,1,1,1,0,1,1,0,0,0,1,0,0]=>144 [1,0,1,1,1,0,1,1,0,0,1,0,0,0]=>216 [1,0,1,1,1,0,1,1,0,1,0,0,0,0]=>288 [1,0,1,1,1,0,1,1,1,0,0,0,0,0]=>360 [1,0,1,1,1,1,0,0,0,0,1,0,1,0]=>24 [1,0,1,1,1,1,0,0,0,0,1,1,0,0]=>48 [1,0,1,1,1,1,0,0,0,1,0,0,1,0]=>48 [1,0,1,1,1,1,0,0,0,1,0,1,0,0]=>96 [1,0,1,1,1,1,0,0,0,1,1,0,0,0]=>144 [1,0,1,1,1,1,0,0,1,0,0,0,1,0]=>72 [1,0,1,1,1,1,0,0,1,0,0,1,0,0]=>144 [1,0,1,1,1,1,0,0,1,0,1,0,0,0]=>216 [1,0,1,1,1,1,0,0,1,1,0,0,0,0]=>288 [1,0,1,1,1,1,0,1,0,0,0,0,1,0]=>96 [1,0,1,1,1,1,0,1,0,0,0,1,0,0]=>192 [1,0,1,1,1,1,0,1,0,0,1,0,0,0]=>288 [1,0,1,1,1,1,0,1,0,1,0,0,0,0]=>384 [1,0,1,1,1,1,0,1,1,0,0,0,0,0]=>480 [1,0,1,1,1,1,1,0,0,0,0,0,1,0]=>120 [1,0,1,1,1,1,1,0,0,0,0,1,0,0]=>240 [1,0,1,1,1,1,1,0,0,0,1,0,0,0]=>360 [1,0,1,1,1,1,1,0,0,1,0,0,0,0]=>480 [1,0,1,1,1,1,1,0,1,0,0,0,0,0]=>600 [1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>720 [1,1,0,0,1,0,1,0,1,0,1,0,1,0]=>2 [1,1,0,0,1,0,1,0,1,0,1,1,0,0]=>4 [1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>4 [1,1,0,0,1,0,1,0,1,1,0,1,0,0]=>8 [1,1,0,0,1,0,1,0,1,1,1,0,0,0]=>12 [1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>8 [1,1,0,0,1,0,1,1,0,1,0,0,1,0]=>8 [1,1,0,0,1,0,1,1,0,1,0,1,0,0]=>16 [1,1,0,0,1,0,1,1,0,1,1,0,0,0]=>24 [1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>12 [1,1,0,0,1,0,1,1,1,0,0,1,0,0]=>24 [1,1,0,0,1,0,1,1,1,0,1,0,0,0]=>36 [1,1,0,0,1,0,1,1,1,1,0,0,0,0]=>48 [1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>4 [1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>8 [1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>8 [1,1,0,0,1,1,0,0,1,1,0,1,0,0]=>16 [1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>24 [1,1,0,0,1,1,0,1,0,0,1,0,1,0]=>8 [1,1,0,0,1,1,0,1,0,0,1,1,0,0]=>16 [1,1,0,0,1,1,0,1,0,1,0,0,1,0]=>16 [1,1,0,0,1,1,0,1,0,1,0,1,0,0]=>32 [1,1,0,0,1,1,0,1,0,1,1,0,0,0]=>48 [1,1,0,0,1,1,0,1,1,0,0,0,1,0]=>24 [1,1,0,0,1,1,0,1,1,0,0,1,0,0]=>48 [1,1,0,0,1,1,0,1,1,0,1,0,0,0]=>72 [1,1,0,0,1,1,0,1,1,1,0,0,0,0]=>96 [1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>12 [1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>24 [1,1,0,0,1,1,1,0,0,1,0,0,1,0]=>24 [1,1,0,0,1,1,1,0,0,1,0,1,0,0]=>48 [1,1,0,0,1,1,1,0,0,1,1,0,0,0]=>72 [1,1,0,0,1,1,1,0,1,0,0,0,1,0]=>36 [1,1,0,0,1,1,1,0,1,0,0,1,0,0]=>72 [1,1,0,0,1,1,1,0,1,0,1,0,0,0]=>108 [1,1,0,0,1,1,1,0,1,1,0,0,0,0]=>144 [1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>48 [1,1,0,0,1,1,1,1,0,0,0,1,0,0]=>96 [1,1,0,0,1,1,1,1,0,0,1,0,0,0]=>144 [1,1,0,0,1,1,1,1,0,1,0,0,0,0]=>192 [1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>240 [1,1,0,1,0,0,1,0,1,0,1,0,1,0]=>4 [1,1,0,1,0,0,1,0,1,0,1,1,0,0]=>8 [1,1,0,1,0,0,1,0,1,1,0,0,1,0]=>8 [1,1,0,1,0,0,1,0,1,1,0,1,0,0]=>16 [1,1,0,1,0,0,1,0,1,1,1,0,0,0]=>24 [1,1,0,1,0,0,1,1,0,0,1,0,1,0]=>8 [1,1,0,1,0,0,1,1,0,0,1,1,0,0]=>16 [1,1,0,1,0,0,1,1,0,1,0,0,1,0]=>16 [1,1,0,1,0,0,1,1,0,1,0,1,0,0]=>32 [1,1,0,1,0,0,1,1,0,1,1,0,0,0]=>48 [1,1,0,1,0,0,1,1,1,0,0,0,1,0]=>24 [1,1,0,1,0,0,1,1,1,0,0,1,0,0]=>48 [1,1,0,1,0,0,1,1,1,0,1,0,0,0]=>72 [1,1,0,1,0,0,1,1,1,1,0,0,0,0]=>96 [1,1,0,1,0,1,0,0,1,0,1,0,1,0]=>8 [1,1,0,1,0,1,0,0,1,0,1,1,0,0]=>16 [1,1,0,1,0,1,0,0,1,1,0,0,1,0]=>16 [1,1,0,1,0,1,0,0,1,1,0,1,0,0]=>32 [1,1,0,1,0,1,0,0,1,1,1,0,0,0]=>48 [1,1,0,1,0,1,0,1,0,0,1,0,1,0]=>16 [1,1,0,1,0,1,0,1,0,0,1,1,0,0]=>32 [1,1,0,1,0,1,0,1,0,1,0,0,1,0]=>32 [1,1,0,1,0,1,0,1,0,1,0,1,0,0]=>64 [1,1,0,1,0,1,0,1,0,1,1,0,0,0]=>96 [1,1,0,1,0,1,0,1,1,0,0,0,1,0]=>48 [1,1,0,1,0,1,0,1,1,0,0,1,0,0]=>96 [1,1,0,1,0,1,0,1,1,0,1,0,0,0]=>144 [1,1,0,1,0,1,0,1,1,1,0,0,0,0]=>192 [1,1,0,1,0,1,1,0,0,0,1,0,1,0]=>24 [1,1,0,1,0,1,1,0,0,0,1,1,0,0]=>48 [1,1,0,1,0,1,1,0,0,1,0,0,1,0]=>48 [1,1,0,1,0,1,1,0,0,1,0,1,0,0]=>96 [1,1,0,1,0,1,1,0,0,1,1,0,0,0]=>144 [1,1,0,1,0,1,1,0,1,0,0,0,1,0]=>72 [1,1,0,1,0,1,1,0,1,0,0,1,0,0]=>144 [1,1,0,1,0,1,1,0,1,0,1,0,0,0]=>216 [1,1,0,1,0,1,1,0,1,1,0,0,0,0]=>288 [1,1,0,1,0,1,1,1,0,0,0,0,1,0]=>96 [1,1,0,1,0,1,1,1,0,0,0,1,0,0]=>192 [1,1,0,1,0,1,1,1,0,0,1,0,0,0]=>288 [1,1,0,1,0,1,1,1,0,1,0,0,0,0]=>384 [1,1,0,1,0,1,1,1,1,0,0,0,0,0]=>480 [1,1,0,1,1,0,0,0,1,0,1,0,1,0]=>12 [1,1,0,1,1,0,0,0,1,0,1,1,0,0]=>24 [1,1,0,1,1,0,0,0,1,1,0,0,1,0]=>24 [1,1,0,1,1,0,0,0,1,1,0,1,0,0]=>48 [1,1,0,1,1,0,0,0,1,1,1,0,0,0]=>72 [1,1,0,1,1,0,0,1,0,0,1,0,1,0]=>24 [1,1,0,1,1,0,0,1,0,0,1,1,0,0]=>48 [1,1,0,1,1,0,0,1,0,1,0,0,1,0]=>48 [1,1,0,1,1,0,0,1,0,1,0,1,0,0]=>96 [1,1,0,1,1,0,0,1,0,1,1,0,0,0]=>144 [1,1,0,1,1,0,0,1,1,0,0,0,1,0]=>72 [1,1,0,1,1,0,0,1,1,0,0,1,0,0]=>144 [1,1,0,1,1,0,0,1,1,0,1,0,0,0]=>216 [1,1,0,1,1,0,0,1,1,1,0,0,0,0]=>288 [1,1,0,1,1,0,1,0,0,0,1,0,1,0]=>36 [1,1,0,1,1,0,1,0,0,0,1,1,0,0]=>72 [1,1,0,1,1,0,1,0,0,1,0,0,1,0]=>72 [1,1,0,1,1,0,1,0,0,1,0,1,0,0]=>144 [1,1,0,1,1,0,1,0,0,1,1,0,0,0]=>216 [1,1,0,1,1,0,1,0,1,0,0,0,1,0]=>108 [1,1,0,1,1,0,1,0,1,0,0,1,0,0]=>216 [1,1,0,1,1,0,1,0,1,0,1,0,0,0]=>324 [1,1,0,1,1,0,1,0,1,1,0,0,0,0]=>432 [1,1,0,1,1,0,1,1,0,0,0,0,1,0]=>144 [1,1,0,1,1,0,1,1,0,0,0,1,0,0]=>288 [1,1,0,1,1,0,1,1,0,0,1,0,0,0]=>432 [1,1,0,1,1,0,1,1,0,1,0,0,0,0]=>576 [1,1,0,1,1,0,1,1,1,0,0,0,0,0]=>720 [1,1,0,1,1,1,0,0,0,0,1,0,1,0]=>48 [1,1,0,1,1,1,0,0,0,0,1,1,0,0]=>96 [1,1,0,1,1,1,0,0,0,1,0,0,1,0]=>96 [1,1,0,1,1,1,0,0,0,1,0,1,0,0]=>192 [1,1,0,1,1,1,0,0,0,1,1,0,0,0]=>288 [1,1,0,1,1,1,0,0,1,0,0,0,1,0]=>144 [1,1,0,1,1,1,0,0,1,0,0,1,0,0]=>288 [1,1,0,1,1,1,0,0,1,0,1,0,0,0]=>432 [1,1,0,1,1,1,0,0,1,1,0,0,0,0]=>576 [1,1,0,1,1,1,0,1,0,0,0,0,1,0]=>192 [1,1,0,1,1,1,0,1,0,0,0,1,0,0]=>384 [1,1,0,1,1,1,0,1,0,0,1,0,0,0]=>576 [1,1,0,1,1,1,0,1,0,1,0,0,0,0]=>768 [1,1,0,1,1,1,0,1,1,0,0,0,0,0]=>960 [1,1,0,1,1,1,1,0,0,0,0,0,1,0]=>240 [1,1,0,1,1,1,1,0,0,0,0,1,0,0]=>480 [1,1,0,1,1,1,1,0,0,0,1,0,0,0]=>720 [1,1,0,1,1,1,1,0,0,1,0,0,0,0]=>960 [1,1,0,1,1,1,1,0,1,0,0,0,0,0]=>1200 [1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>1440 [1,1,1,0,0,0,1,0,1,0,1,0,1,0]=>6 [1,1,1,0,0,0,1,0,1,0,1,1,0,0]=>12 [1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>12 [1,1,1,0,0,0,1,0,1,1,0,1,0,0]=>24 [1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>36 [1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>12 [1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>24 [1,1,1,0,0,0,1,1,0,1,0,0,1,0]=>24 [1,1,1,0,0,0,1,1,0,1,0,1,0,0]=>48 [1,1,1,0,0,0,1,1,0,1,1,0,0,0]=>72 [1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>36 [1,1,1,0,0,0,1,1,1,0,0,1,0,0]=>72 [1,1,1,0,0,0,1,1,1,0,1,0,0,0]=>108 [1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>144 [1,1,1,0,0,1,0,0,1,0,1,0,1,0]=>12 [1,1,1,0,0,1,0,0,1,0,1,1,0,0]=>24 [1,1,1,0,0,1,0,0,1,1,0,0,1,0]=>24 [1,1,1,0,0,1,0,0,1,1,0,1,0,0]=>48 [1,1,1,0,0,1,0,0,1,1,1,0,0,0]=>72 [1,1,1,0,0,1,0,1,0,0,1,0,1,0]=>24 [1,1,1,0,0,1,0,1,0,0,1,1,0,0]=>48 [1,1,1,0,0,1,0,1,0,1,0,0,1,0]=>48 [1,1,1,0,0,1,0,1,0,1,0,1,0,0]=>96 [1,1,1,0,0,1,0,1,0,1,1,0,0,0]=>144 [1,1,1,0,0,1,0,1,1,0,0,0,1,0]=>72 [1,1,1,0,0,1,0,1,1,0,0,1,0,0]=>144 [1,1,1,0,0,1,0,1,1,0,1,0,0,0]=>216 [1,1,1,0,0,1,0,1,1,1,0,0,0,0]=>288 [1,1,1,0,0,1,1,0,0,0,1,0,1,0]=>36 [1,1,1,0,0,1,1,0,0,0,1,1,0,0]=>72 [1,1,1,0,0,1,1,0,0,1,0,0,1,0]=>72 [1,1,1,0,0,1,1,0,0,1,0,1,0,0]=>144 [1,1,1,0,0,1,1,0,0,1,1,0,0,0]=>216 [1,1,1,0,0,1,1,0,1,0,0,0,1,0]=>108 [1,1,1,0,0,1,1,0,1,0,0,1,0,0]=>216 [1,1,1,0,0,1,1,0,1,0,1,0,0,0]=>324 [1,1,1,0,0,1,1,0,1,1,0,0,0,0]=>432 [1,1,1,0,0,1,1,1,0,0,0,0,1,0]=>144 [1,1,1,0,0,1,1,1,0,0,0,1,0,0]=>288 [1,1,1,0,0,1,1,1,0,0,1,0,0,0]=>432 [1,1,1,0,0,1,1,1,0,1,0,0,0,0]=>576 [1,1,1,0,0,1,1,1,1,0,0,0,0,0]=>720 [1,1,1,0,1,0,0,0,1,0,1,0,1,0]=>18 [1,1,1,0,1,0,0,0,1,0,1,1,0,0]=>36 [1,1,1,0,1,0,0,0,1,1,0,0,1,0]=>36 [1,1,1,0,1,0,0,0,1,1,0,1,0,0]=>72 [1,1,1,0,1,0,0,0,1,1,1,0,0,0]=>108 [1,1,1,0,1,0,0,1,0,0,1,0,1,0]=>36 [1,1,1,0,1,0,0,1,0,0,1,1,0,0]=>72 [1,1,1,0,1,0,0,1,0,1,0,0,1,0]=>72 [1,1,1,0,1,0,0,1,0,1,0,1,0,0]=>144 [1,1,1,0,1,0,0,1,0,1,1,0,0,0]=>216 [1,1,1,0,1,0,0,1,1,0,0,0,1,0]=>108 [1,1,1,0,1,0,0,1,1,0,0,1,0,0]=>216 [1,1,1,0,1,0,0,1,1,0,1,0,0,0]=>324 [1,1,1,0,1,0,0,1,1,1,0,0,0,0]=>432 [1,1,1,0,1,0,1,0,0,0,1,0,1,0]=>54 [1,1,1,0,1,0,1,0,0,0,1,1,0,0]=>108 [1,1,1,0,1,0,1,0,0,1,0,0,1,0]=>108 [1,1,1,0,1,0,1,0,0,1,0,1,0,0]=>216 [1,1,1,0,1,0,1,0,0,1,1,0,0,0]=>324 [1,1,1,0,1,0,1,0,1,0,0,0,1,0]=>162 [1,1,1,0,1,0,1,0,1,0,0,1,0,0]=>324 [1,1,1,0,1,0,1,0,1,0,1,0,0,0]=>486 [1,1,1,0,1,0,1,0,1,1,0,0,0,0]=>648 [1,1,1,0,1,0,1,1,0,0,0,0,1,0]=>216 [1,1,1,0,1,0,1,1,0,0,0,1,0,0]=>432 [1,1,1,0,1,0,1,1,0,0,1,0,0,0]=>648 [1,1,1,0,1,0,1,1,0,1,0,0,0,0]=>864 [1,1,1,0,1,0,1,1,1,0,0,0,0,0]=>1080 [1,1,1,0,1,1,0,0,0,0,1,0,1,0]=>72 [1,1,1,0,1,1,0,0,0,0,1,1,0,0]=>144 [1,1,1,0,1,1,0,0,0,1,0,0,1,0]=>144 [1,1,1,0,1,1,0,0,0,1,0,1,0,0]=>288 [1,1,1,0,1,1,0,0,0,1,1,0,0,0]=>432 [1,1,1,0,1,1,0,0,1,0,0,0,1,0]=>216 [1,1,1,0,1,1,0,0,1,0,0,1,0,0]=>432 [1,1,1,0,1,1,0,0,1,0,1,0,0,0]=>648 [1,1,1,0,1,1,0,0,1,1,0,0,0,0]=>864 [1,1,1,0,1,1,0,1,0,0,0,0,1,0]=>288 [1,1,1,0,1,1,0,1,0,0,0,1,0,0]=>576 [1,1,1,0,1,1,0,1,0,0,1,0,0,0]=>864 [1,1,1,0,1,1,0,1,0,1,0,0,0,0]=>1152 [1,1,1,0,1,1,0,1,1,0,0,0,0,0]=>1440 [1,1,1,0,1,1,1,0,0,0,0,0,1,0]=>360 [1,1,1,0,1,1,1,0,0,0,0,1,0,0]=>720 [1,1,1,0,1,1,1,0,0,0,1,0,0,0]=>1080 [1,1,1,0,1,1,1,0,0,1,0,0,0,0]=>1440 [1,1,1,0,1,1,1,0,1,0,0,0,0,0]=>1800 [1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>2160 [1,1,1,1,0,0,0,0,1,0,1,0,1,0]=>24 [1,1,1,1,0,0,0,0,1,0,1,1,0,0]=>48 [1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>48 [1,1,1,1,0,0,0,0,1,1,0,1,0,0]=>96 [1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>144 [1,1,1,1,0,0,0,1,0,0,1,0,1,0]=>48 [1,1,1,1,0,0,0,1,0,0,1,1,0,0]=>96 [1,1,1,1,0,0,0,1,0,1,0,0,1,0]=>96 [1,1,1,1,0,0,0,1,0,1,0,1,0,0]=>192 [1,1,1,1,0,0,0,1,0,1,1,0,0,0]=>288 [1,1,1,1,0,0,0,1,1,0,0,0,1,0]=>144 [1,1,1,1,0,0,0,1,1,0,0,1,0,0]=>288 [1,1,1,1,0,0,0,1,1,0,1,0,0,0]=>432 [1,1,1,1,0,0,0,1,1,1,0,0,0,0]=>576 [1,1,1,1,0,0,1,0,0,0,1,0,1,0]=>72 [1,1,1,1,0,0,1,0,0,0,1,1,0,0]=>144 [1,1,1,1,0,0,1,0,0,1,0,0,1,0]=>144 [1,1,1,1,0,0,1,0,0,1,0,1,0,0]=>288 [1,1,1,1,0,0,1,0,0,1,1,0,0,0]=>432 [1,1,1,1,0,0,1,0,1,0,0,0,1,0]=>216 [1,1,1,1,0,0,1,0,1,0,0,1,0,0]=>432 [1,1,1,1,0,0,1,0,1,0,1,0,0,0]=>648 [1,1,1,1,0,0,1,0,1,1,0,0,0,0]=>864 [1,1,1,1,0,0,1,1,0,0,0,0,1,0]=>288 [1,1,1,1,0,0,1,1,0,0,0,1,0,0]=>576 [1,1,1,1,0,0,1,1,0,0,1,0,0,0]=>864 [1,1,1,1,0,0,1,1,0,1,0,0,0,0]=>1152 [1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>1440 [1,1,1,1,0,1,0,0,0,0,1,0,1,0]=>96 [1,1,1,1,0,1,0,0,0,0,1,1,0,0]=>192 [1,1,1,1,0,1,0,0,0,1,0,0,1,0]=>192 [1,1,1,1,0,1,0,0,0,1,0,1,0,0]=>384 [1,1,1,1,0,1,0,0,0,1,1,0,0,0]=>576 [1,1,1,1,0,1,0,0,1,0,0,0,1,0]=>288 [1,1,1,1,0,1,0,0,1,0,0,1,0,0]=>576 [1,1,1,1,0,1,0,0,1,0,1,0,0,0]=>864 [1,1,1,1,0,1,0,0,1,1,0,0,0,0]=>1152 [1,1,1,1,0,1,0,1,0,0,0,0,1,0]=>384 [1,1,1,1,0,1,0,1,0,0,0,1,0,0]=>768 [1,1,1,1,0,1,0,1,0,0,1,0,0,0]=>1152 [1,1,1,1,0,1,0,1,0,1,0,0,0,0]=>1536 [1,1,1,1,0,1,0,1,1,0,0,0,0,0]=>1920 [1,1,1,1,0,1,1,0,0,0,0,0,1,0]=>480 [1,1,1,1,0,1,1,0,0,0,0,1,0,0]=>960 [1,1,1,1,0,1,1,0,0,0,1,0,0,0]=>1440 [1,1,1,1,0,1,1,0,0,1,0,0,0,0]=>1920 [1,1,1,1,0,1,1,0,1,0,0,0,0,0]=>2400 [1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>2880 [1,1,1,1,1,0,0,0,0,0,1,0,1,0]=>120 [1,1,1,1,1,0,0,0,0,0,1,1,0,0]=>240 [1,1,1,1,1,0,0,0,0,1,0,0,1,0]=>240 [1,1,1,1,1,0,0,0,0,1,0,1,0,0]=>480 [1,1,1,1,1,0,0,0,0,1,1,0,0,0]=>720 [1,1,1,1,1,0,0,0,1,0,0,0,1,0]=>360 [1,1,1,1,1,0,0,0,1,0,0,1,0,0]=>720 [1,1,1,1,1,0,0,0,1,0,1,0,0,0]=>1080 [1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>1440 [1,1,1,1,1,0,0,1,0,0,0,0,1,0]=>480 [1,1,1,1,1,0,0,1,0,0,0,1,0,0]=>960 [1,1,1,1,1,0,0,1,0,0,1,0,0,0]=>1440 [1,1,1,1,1,0,0,1,0,1,0,0,0,0]=>1920 [1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>2400 [1,1,1,1,1,0,1,0,0,0,0,0,1,0]=>600 [1,1,1,1,1,0,1,0,0,0,0,1,0,0]=>1200 [1,1,1,1,1,0,1,0,0,0,1,0,0,0]=>1800 [1,1,1,1,1,0,1,0,0,1,0,0,0,0]=>2400 [1,1,1,1,1,0,1,0,1,0,0,0,0,0]=>3000 [1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>3600 [1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>720 [1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>1440 [1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>2160 [1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>2880 [1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>3600 [1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>4320 [1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>5040 [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>1 [1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0]=>2 [1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0]=>2 [1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0]=>4 [1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0]=>6 [1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0]=>2 [1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0]=>4 [1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0]=>4 [1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0]=>8 [1,0,1,0,1,0,1,0,1,1,0,1,1,0,0,0]=>12 [1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0]=>6 [1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0]=>12 [1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0]=>18 [1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0]=>24 [1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0]=>2 [1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0]=>4 [1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>4 [1,0,1,0,1,0,1,1,0,0,1,1,0,1,0,0]=>8 [1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0]=>12 [1,0,1,0,1,0,1,1,0,1,0,0,1,0,1,0]=>4 [1,0,1,0,1,0,1,1,0,1,0,0,1,1,0,0]=>8 [1,0,1,0,1,0,1,1,0,1,0,1,0,0,1,0]=>8 [1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0]=>16 [1,0,1,0,1,0,1,1,0,1,0,1,1,0,0,0]=>24 [1,0,1,0,1,0,1,1,0,1,1,0,0,0,1,0]=>12 [1,0,1,0,1,0,1,1,0,1,1,0,0,1,0,0]=>24 [1,0,1,0,1,0,1,1,0,1,1,0,1,0,0,0]=>36 [1,0,1,0,1,0,1,1,0,1,1,1,0,0,0,0]=>48 [1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0]=>6 [1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0]=>12 [1,0,1,0,1,0,1,1,1,0,0,1,0,0,1,0]=>12 [1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,0]=>24 [1,0,1,0,1,0,1,1,1,0,0,1,1,0,0,0]=>36 [1,0,1,0,1,0,1,1,1,0,1,0,0,0,1,0]=>18 [1,0,1,0,1,0,1,1,1,0,1,0,0,1,0,0]=>36 [1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,0]=>54 [1,0,1,0,1,0,1,1,1,0,1,1,0,0,0,0]=>72 [1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0]=>24 [1,0,1,0,1,0,1,1,1,1,0,0,0,1,0,0]=>48 [1,0,1,0,1,0,1,1,1,1,0,0,1,0,0,0]=>72 [1,0,1,0,1,0,1,1,1,1,0,1,0,0,0,0]=>96 [1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0]=>120 [1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0]=>2 [1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0]=>4 [1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [1,0,1,0,1,1,0,0,1,0,1,1,0,1,0,0]=>8 [1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>12 [1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>8 [1,0,1,0,1,1,0,0,1,1,0,1,0,0,1,0]=>8 [1,0,1,0,1,1,0,0,1,1,0,1,0,1,0,0]=>16 [1,0,1,0,1,1,0,0,1,1,0,1,1,0,0,0]=>24 [1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>12 [1,0,1,0,1,1,0,0,1,1,1,0,0,1,0,0]=>24 [1,0,1,0,1,1,0,0,1,1,1,0,1,0,0,0]=>36 [1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0]=>48 [1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0]=>4 [1,0,1,0,1,1,0,1,0,0,1,0,1,1,0,0]=>8 [1,0,1,0,1,1,0,1,0,0,1,1,0,0,1,0]=>8 [1,0,1,0,1,1,0,1,0,0,1,1,0,1,0,0]=>16 [1,0,1,0,1,1,0,1,0,0,1,1,1,0,0,0]=>24 [1,0,1,0,1,1,0,1,0,1,0,0,1,0,1,0]=>8 [1,0,1,0,1,1,0,1,0,1,0,0,1,1,0,0]=>16 [1,0,1,0,1,1,0,1,0,1,0,1,0,0,1,0]=>16 [1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0]=>32 [1,0,1,0,1,1,0,1,0,1,0,1,1,0,0,0]=>48 [1,0,1,0,1,1,0,1,0,1,1,0,0,0,1,0]=>24 [1,0,1,0,1,1,0,1,0,1,1,0,0,1,0,0]=>48 [1,0,1,0,1,1,0,1,0,1,1,0,1,0,0,0]=>72 [1,0,1,0,1,1,0,1,0,1,1,1,0,0,0,0]=>96 [1,0,1,0,1,1,0,1,1,0,0,0,1,0,1,0]=>12 [1,0,1,0,1,1,0,1,1,0,0,0,1,1,0,0]=>24 [1,0,1,0,1,1,0,1,1,0,0,1,0,0,1,0]=>24 [1,0,1,0,1,1,0,1,1,0,0,1,0,1,0,0]=>48 [1,0,1,0,1,1,0,1,1,0,0,1,1,0,0,0]=>72 [1,0,1,0,1,1,0,1,1,0,1,0,0,0,1,0]=>36 [1,0,1,0,1,1,0,1,1,0,1,0,0,1,0,0]=>72 [1,0,1,0,1,1,0,1,1,0,1,0,1,0,0,0]=>108 [1,0,1,0,1,1,0,1,1,0,1,1,0,0,0,0]=>144 [1,0,1,0,1,1,0,1,1,1,0,0,0,0,1,0]=>48 [1,0,1,0,1,1,0,1,1,1,0,0,0,1,0,0]=>96 [1,0,1,0,1,1,0,1,1,1,0,0,1,0,0,0]=>144 [1,0,1,0,1,1,0,1,1,1,0,1,0,0,0,0]=>192 [1,0,1,0,1,1,0,1,1,1,1,0,0,0,0,0]=>240 [1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0]=>6 [1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>12 [1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>12 [1,0,1,0,1,1,1,0,0,0,1,1,0,1,0,0]=>24 [1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>36 [1,0,1,0,1,1,1,0,0,1,0,0,1,0,1,0]=>12 [1,0,1,0,1,1,1,0,0,1,0,0,1,1,0,0]=>24 [1,0,1,0,1,1,1,0,0,1,0,1,0,0,1,0]=>24 [1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,0]=>48 [1,0,1,0,1,1,1,0,0,1,0,1,1,0,0,0]=>72 [1,0,1,0,1,1,1,0,0,1,1,0,0,0,1,0]=>36 [1,0,1,0,1,1,1,0,0,1,1,0,0,1,0,0]=>72 [1,0,1,0,1,1,1,0,0,1,1,0,1,0,0,0]=>108 [1,0,1,0,1,1,1,0,0,1,1,1,0,0,0,0]=>144 [1,0,1,0,1,1,1,0,1,0,0,0,1,0,1,0]=>18 [1,0,1,0,1,1,1,0,1,0,0,0,1,1,0,0]=>36 [1,0,1,0,1,1,1,0,1,0,0,1,0,0,1,0]=>36 [1,0,1,0,1,1,1,0,1,0,0,1,0,1,0,0]=>72 [1,0,1,0,1,1,1,0,1,0,0,1,1,0,0,0]=>108 [1,0,1,0,1,1,1,0,1,0,1,0,0,0,1,0]=>54 [1,0,1,0,1,1,1,0,1,0,1,0,0,1,0,0]=>108 [1,0,1,0,1,1,1,0,1,0,1,0,1,0,0,0]=>162 [1,0,1,0,1,1,1,0,1,0,1,1,0,0,0,0]=>216 [1,0,1,0,1,1,1,0,1,1,0,0,0,0,1,0]=>72 [1,0,1,0,1,1,1,0,1,1,0,0,0,1,0,0]=>144 [1,0,1,0,1,1,1,0,1,1,0,0,1,0,0,0]=>216 [1,0,1,0,1,1,1,0,1,1,0,1,0,0,0,0]=>288 [1,0,1,0,1,1,1,0,1,1,1,0,0,0,0,0]=>360 [1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0]=>24 [1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0]=>48 [1,0,1,0,1,1,1,1,0,0,0,1,0,0,1,0]=>48 [1,0,1,0,1,1,1,1,0,0,0,1,0,1,0,0]=>96 [1,0,1,0,1,1,1,1,0,0,0,1,1,0,0,0]=>144 [1,0,1,0,1,1,1,1,0,0,1,0,0,0,1,0]=>72 [1,0,1,0,1,1,1,1,0,0,1,0,0,1,0,0]=>144 [1,0,1,0,1,1,1,1,0,0,1,0,1,0,0,0]=>216 [1,0,1,0,1,1,1,1,0,0,1,1,0,0,0,0]=>288 [1,0,1,0,1,1,1,1,0,1,0,0,0,0,1,0]=>96 [1,0,1,0,1,1,1,1,0,1,0,0,0,1,0,0]=>192 [1,0,1,0,1,1,1,1,0,1,0,0,1,0,0,0]=>288 [1,0,1,0,1,1,1,1,0,1,0,1,0,0,0,0]=>384 [1,0,1,0,1,1,1,1,0,1,1,0,0,0,0,0]=>480 [1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0]=>120 [1,0,1,0,1,1,1,1,1,0,0,0,0,1,0,0]=>240 [1,0,1,0,1,1,1,1,1,0,0,0,1,0,0,0]=>360 [1,0,1,0,1,1,1,1,1,0,0,1,0,0,0,0]=>480 [1,0,1,0,1,1,1,1,1,0,1,0,0,0,0,0]=>600 [1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>720 [1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0]=>2 [1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0]=>4 [1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>4 [1,0,1,1,0,0,1,0,1,0,1,1,0,1,0,0]=>8 [1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0]=>12 [1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>8 [1,0,1,1,0,0,1,0,1,1,0,1,0,0,1,0]=>8 [1,0,1,1,0,0,1,0,1,1,0,1,0,1,0,0]=>16 [1,0,1,1,0,0,1,0,1,1,0,1,1,0,0,0]=>24 [1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>12 [1,0,1,1,0,0,1,0,1,1,1,0,0,1,0,0]=>24 [1,0,1,1,0,0,1,0,1,1,1,0,1,0,0,0]=>36 [1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0]=>48 [1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>4 [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>8 [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>8 [1,0,1,1,0,0,1,1,0,0,1,1,0,1,0,0]=>16 [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>24 [1,0,1,1,0,0,1,1,0,1,0,0,1,0,1,0]=>8 [1,0,1,1,0,0,1,1,0,1,0,0,1,1,0,0]=>16 [1,0,1,1,0,0,1,1,0,1,0,1,0,0,1,0]=>16 [1,0,1,1,0,0,1,1,0,1,0,1,0,1,0,0]=>32 [1,0,1,1,0,0,1,1,0,1,0,1,1,0,0,0]=>48 [1,0,1,1,0,0,1,1,0,1,1,0,0,0,1,0]=>24 [1,0,1,1,0,0,1,1,0,1,1,0,0,1,0,0]=>48 [1,0,1,1,0,0,1,1,0,1,1,0,1,0,0,0]=>72 [1,0,1,1,0,0,1,1,0,1,1,1,0,0,0,0]=>96 [1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>12 [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>24 [1,0,1,1,0,0,1,1,1,0,0,1,0,0,1,0]=>24 [1,0,1,1,0,0,1,1,1,0,0,1,0,1,0,0]=>48 [1,0,1,1,0,0,1,1,1,0,0,1,1,0,0,0]=>72 [1,0,1,1,0,0,1,1,1,0,1,0,0,0,1,0]=>36 [1,0,1,1,0,0,1,1,1,0,1,0,0,1,0,0]=>72 [1,0,1,1,0,0,1,1,1,0,1,0,1,0,0,0]=>108 [1,0,1,1,0,0,1,1,1,0,1,1,0,0,0,0]=>144 [1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>48 [1,0,1,1,0,0,1,1,1,1,0,0,0,1,0,0]=>96 [1,0,1,1,0,0,1,1,1,1,0,0,1,0,0,0]=>144 [1,0,1,1,0,0,1,1,1,1,0,1,0,0,0,0]=>192 [1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>240 [1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0]=>4 [1,0,1,1,0,1,0,0,1,0,1,0,1,1,0,0]=>8 [1,0,1,1,0,1,0,0,1,0,1,1,0,0,1,0]=>8 [1,0,1,1,0,1,0,0,1,0,1,1,0,1,0,0]=>16 [1,0,1,1,0,1,0,0,1,0,1,1,1,0,0,0]=>24 [1,0,1,1,0,1,0,0,1,1,0,0,1,0,1,0]=>8 [1,0,1,1,0,1,0,0,1,1,0,0,1,1,0,0]=>16 [1,0,1,1,0,1,0,0,1,1,0,1,0,0,1,0]=>16 [1,0,1,1,0,1,0,0,1,1,0,1,0,1,0,0]=>32 [1,0,1,1,0,1,0,0,1,1,0,1,1,0,0,0]=>48 [1,0,1,1,0,1,0,0,1,1,1,0,0,0,1,0]=>24 [1,0,1,1,0,1,0,0,1,1,1,0,0,1,0,0]=>48 [1,0,1,1,0,1,0,0,1,1,1,0,1,0,0,0]=>72 [1,0,1,1,0,1,0,0,1,1,1,1,0,0,0,0]=>96 [1,0,1,1,0,1,0,1,0,0,1,0,1,0,1,0]=>8 [1,0,1,1,0,1,0,1,0,0,1,0,1,1,0,0]=>16 [1,0,1,1,0,1,0,1,0,0,1,1,0,0,1,0]=>16 [1,0,1,1,0,1,0,1,0,0,1,1,0,1,0,0]=>32 [1,0,1,1,0,1,0,1,0,0,1,1,1,0,0,0]=>48 [1,0,1,1,0,1,0,1,0,1,0,0,1,0,1,0]=>16 [1,0,1,1,0,1,0,1,0,1,0,0,1,1,0,0]=>32 [1,0,1,1,0,1,0,1,0,1,0,1,0,0,1,0]=>32 [1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0]=>64 [1,0,1,1,0,1,0,1,0,1,0,1,1,0,0,0]=>96 [1,0,1,1,0,1,0,1,0,1,1,0,0,0,1,0]=>48 [1,0,1,1,0,1,0,1,0,1,1,0,0,1,0,0]=>96 [1,0,1,1,0,1,0,1,0,1,1,0,1,0,0,0]=>144 [1,0,1,1,0,1,0,1,0,1,1,1,0,0,0,0]=>192 [1,0,1,1,0,1,0,1,1,0,0,0,1,0,1,0]=>24 [1,0,1,1,0,1,0,1,1,0,0,0,1,1,0,0]=>48 [1,0,1,1,0,1,0,1,1,0,0,1,0,0,1,0]=>48 [1,0,1,1,0,1,0,1,1,0,0,1,0,1,0,0]=>96 [1,0,1,1,0,1,0,1,1,0,0,1,1,0,0,0]=>144 [1,0,1,1,0,1,0,1,1,0,1,0,0,0,1,0]=>72 [1,0,1,1,0,1,0,1,1,0,1,0,0,1,0,0]=>144 [1,0,1,1,0,1,0,1,1,0,1,0,1,0,0,0]=>216 [1,0,1,1,0,1,0,1,1,0,1,1,0,0,0,0]=>288 [1,0,1,1,0,1,0,1,1,1,0,0,0,0,1,0]=>96 [1,0,1,1,0,1,0,1,1,1,0,0,0,1,0,0]=>192 [1,0,1,1,0,1,0,1,1,1,0,0,1,0,0,0]=>288 [1,0,1,1,0,1,0,1,1,1,0,1,0,0,0,0]=>384 [1,0,1,1,0,1,0,1,1,1,1,0,0,0,0,0]=>480 [1,0,1,1,0,1,1,0,0,0,1,0,1,0,1,0]=>12 [1,0,1,1,0,1,1,0,0,0,1,0,1,1,0,0]=>24 [1,0,1,1,0,1,1,0,0,0,1,1,0,0,1,0]=>24 [1,0,1,1,0,1,1,0,0,0,1,1,0,1,0,0]=>48 [1,0,1,1,0,1,1,0,0,0,1,1,1,0,0,0]=>72 [1,0,1,1,0,1,1,0,0,1,0,0,1,0,1,0]=>24 [1,0,1,1,0,1,1,0,0,1,0,0,1,1,0,0]=>48 [1,0,1,1,0,1,1,0,0,1,0,1,0,0,1,0]=>48 [1,0,1,1,0,1,1,0,0,1,0,1,0,1,0,0]=>96 [1,0,1,1,0,1,1,0,0,1,0,1,1,0,0,0]=>144 [1,0,1,1,0,1,1,0,0,1,1,0,0,0,1,0]=>72 [1,0,1,1,0,1,1,0,0,1,1,0,0,1,0,0]=>144 [1,0,1,1,0,1,1,0,0,1,1,0,1,0,0,0]=>216 [1,0,1,1,0,1,1,0,0,1,1,1,0,0,0,0]=>288 [1,0,1,1,0,1,1,0,1,0,0,0,1,0,1,0]=>36 [1,0,1,1,0,1,1,0,1,0,0,0,1,1,0,0]=>72 [1,0,1,1,0,1,1,0,1,0,0,1,0,0,1,0]=>72 [1,0,1,1,0,1,1,0,1,0,0,1,0,1,0,0]=>144 [1,0,1,1,0,1,1,0,1,0,0,1,1,0,0,0]=>216 [1,0,1,1,0,1,1,0,1,0,1,0,0,0,1,0]=>108 [1,0,1,1,0,1,1,0,1,0,1,0,0,1,0,0]=>216 [1,0,1,1,0,1,1,0,1,0,1,0,1,0,0,0]=>324 [1,0,1,1,0,1,1,0,1,0,1,1,0,0,0,0]=>432 [1,0,1,1,0,1,1,0,1,1,0,0,0,0,1,0]=>144 [1,0,1,1,0,1,1,0,1,1,0,0,0,1,0,0]=>288 [1,0,1,1,0,1,1,0,1,1,0,0,1,0,0,0]=>432 [1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0]=>576 [1,0,1,1,0,1,1,0,1,1,1,0,0,0,0,0]=>720 [1,0,1,1,0,1,1,1,0,0,0,0,1,0,1,0]=>48 [1,0,1,1,0,1,1,1,0,0,0,0,1,1,0,0]=>96 [1,0,1,1,0,1,1,1,0,0,0,1,0,0,1,0]=>96 [1,0,1,1,0,1,1,1,0,0,0,1,0,1,0,0]=>192 [1,0,1,1,0,1,1,1,0,0,0,1,1,0,0,0]=>288 [1,0,1,1,0,1,1,1,0,0,1,0,0,0,1,0]=>144 [1,0,1,1,0,1,1,1,0,0,1,0,0,1,0,0]=>288 [1,0,1,1,0,1,1,1,0,0,1,0,1,0,0,0]=>432 [1,0,1,1,0,1,1,1,0,0,1,1,0,0,0,0]=>576 [1,0,1,1,0,1,1,1,0,1,0,0,0,0,1,0]=>192 [1,0,1,1,0,1,1,1,0,1,0,0,0,1,0,0]=>384 [1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0]=>576 [1,0,1,1,0,1,1,1,0,1,0,1,0,0,0,0]=>768 [1,0,1,1,0,1,1,1,0,1,1,0,0,0,0,0]=>960 [1,0,1,1,0,1,1,1,1,0,0,0,0,0,1,0]=>240 [1,0,1,1,0,1,1,1,1,0,0,0,0,1,0,0]=>480 [1,0,1,1,0,1,1,1,1,0,0,0,1,0,0,0]=>720 [1,0,1,1,0,1,1,1,1,0,0,1,0,0,0,0]=>960 [1,0,1,1,0,1,1,1,1,0,1,0,0,0,0,0]=>1200 [1,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>1440 [1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0]=>6 [1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0]=>12 [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>12 [1,0,1,1,1,0,0,0,1,0,1,1,0,1,0,0]=>24 [1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>36 [1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>12 [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>24 [1,0,1,1,1,0,0,0,1,1,0,1,0,0,1,0]=>24 [1,0,1,1,1,0,0,0,1,1,0,1,0,1,0,0]=>48 [1,0,1,1,1,0,0,0,1,1,0,1,1,0,0,0]=>72 [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>36 [1,0,1,1,1,0,0,0,1,1,1,0,0,1,0,0]=>72 [1,0,1,1,1,0,0,0,1,1,1,0,1,0,0,0]=>108 [1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>144 [1,0,1,1,1,0,0,1,0,0,1,0,1,0,1,0]=>12 [1,0,1,1,1,0,0,1,0,0,1,0,1,1,0,0]=>24 [1,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0]=>24 [1,0,1,1,1,0,0,1,0,0,1,1,0,1,0,0]=>48 [1,0,1,1,1,0,0,1,0,0,1,1,1,0,0,0]=>72 [1,0,1,1,1,0,0,1,0,1,0,0,1,0,1,0]=>24 [1,0,1,1,1,0,0,1,0,1,0,0,1,1,0,0]=>48 [1,0,1,1,1,0,0,1,0,1,0,1,0,0,1,0]=>48 [1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,0]=>96 [1,0,1,1,1,0,0,1,0,1,0,1,1,0,0,0]=>144 [1,0,1,1,1,0,0,1,0,1,1,0,0,0,1,0]=>72 [1,0,1,1,1,0,0,1,0,1,1,0,0,1,0,0]=>144 [1,0,1,1,1,0,0,1,0,1,1,0,1,0,0,0]=>216 [1,0,1,1,1,0,0,1,0,1,1,1,0,0,0,0]=>288 [1,0,1,1,1,0,0,1,1,0,0,0,1,0,1,0]=>36 [1,0,1,1,1,0,0,1,1,0,0,0,1,1,0,0]=>72 [1,0,1,1,1,0,0,1,1,0,0,1,0,0,1,0]=>72 [1,0,1,1,1,0,0,1,1,0,0,1,0,1,0,0]=>144 [1,0,1,1,1,0,0,1,1,0,0,1,1,0,0,0]=>216 [1,0,1,1,1,0,0,1,1,0,1,0,0,0,1,0]=>108 [1,0,1,1,1,0,0,1,1,0,1,0,0,1,0,0]=>216 [1,0,1,1,1,0,0,1,1,0,1,0,1,0,0,0]=>324 [1,0,1,1,1,0,0,1,1,0,1,1,0,0,0,0]=>432 [1,0,1,1,1,0,0,1,1,1,0,0,0,0,1,0]=>144 [1,0,1,1,1,0,0,1,1,1,0,0,0,1,0,0]=>288 [1,0,1,1,1,0,0,1,1,1,0,0,1,0,0,0]=>432 [1,0,1,1,1,0,0,1,1,1,0,1,0,0,0,0]=>576 [1,0,1,1,1,0,0,1,1,1,1,0,0,0,0,0]=>720 [1,0,1,1,1,0,1,0,0,0,1,0,1,0,1,0]=>18 [1,0,1,1,1,0,1,0,0,0,1,0,1,1,0,0]=>36 [1,0,1,1,1,0,1,0,0,0,1,1,0,0,1,0]=>36 [1,0,1,1,1,0,1,0,0,0,1,1,0,1,0,0]=>72 [1,0,1,1,1,0,1,0,0,0,1,1,1,0,0,0]=>108 [1,0,1,1,1,0,1,0,0,1,0,0,1,0,1,0]=>36 [1,0,1,1,1,0,1,0,0,1,0,0,1,1,0,0]=>72 [1,0,1,1,1,0,1,0,0,1,0,1,0,0,1,0]=>72 [1,0,1,1,1,0,1,0,0,1,0,1,0,1,0,0]=>144 [1,0,1,1,1,0,1,0,0,1,0,1,1,0,0,0]=>216 [1,0,1,1,1,0,1,0,0,1,1,0,0,0,1,0]=>108 [1,0,1,1,1,0,1,0,0,1,1,0,0,1,0,0]=>216 [1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0]=>324 [1,0,1,1,1,0,1,0,0,1,1,1,0,0,0,0]=>432 [1,0,1,1,1,0,1,0,1,0,0,0,1,0,1,0]=>54 [1,0,1,1,1,0,1,0,1,0,0,0,1,1,0,0]=>108 [1,0,1,1,1,0,1,0,1,0,0,1,0,0,1,0]=>108 [1,0,1,1,1,0,1,0,1,0,0,1,0,1,0,0]=>216 [1,0,1,1,1,0,1,0,1,0,0,1,1,0,0,0]=>324 [1,0,1,1,1,0,1,0,1,0,1,0,0,0,1,0]=>162 [1,0,1,1,1,0,1,0,1,0,1,0,0,1,0,0]=>324 [1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0]=>486 [1,0,1,1,1,0,1,0,1,0,1,1,0,0,0,0]=>648 [1,0,1,1,1,0,1,0,1,1,0,0,0,0,1,0]=>216 [1,0,1,1,1,0,1,0,1,1,0,0,0,1,0,0]=>432 [1,0,1,1,1,0,1,0,1,1,0,0,1,0,0,0]=>648 [1,0,1,1,1,0,1,0,1,1,0,1,0,0,0,0]=>864 [1,0,1,1,1,0,1,0,1,1,1,0,0,0,0,0]=>1080 [1,0,1,1,1,0,1,1,0,0,0,0,1,0,1,0]=>72 [1,0,1,1,1,0,1,1,0,0,0,0,1,1,0,0]=>144 [1,0,1,1,1,0,1,1,0,0,0,1,0,0,1,0]=>144 [1,0,1,1,1,0,1,1,0,0,0,1,0,1,0,0]=>288 [1,0,1,1,1,0,1,1,0,0,0,1,1,0,0,0]=>432 [1,0,1,1,1,0,1,1,0,0,1,0,0,0,1,0]=>216 [1,0,1,1,1,0,1,1,0,0,1,0,0,1,0,0]=>432 [1,0,1,1,1,0,1,1,0,0,1,0,1,0,0,0]=>648 [1,0,1,1,1,0,1,1,0,0,1,1,0,0,0,0]=>864 [1,0,1,1,1,0,1,1,0,1,0,0,0,0,1,0]=>288 [1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0]=>576 [1,0,1,1,1,0,1,1,0,1,0,0,1,0,0,0]=>864 [1,0,1,1,1,0,1,1,0,1,0,1,0,0,0,0]=>1152 [1,0,1,1,1,0,1,1,0,1,1,0,0,0,0,0]=>1440 [1,0,1,1,1,0,1,1,1,0,0,0,0,0,1,0]=>360 [1,0,1,1,1,0,1,1,1,0,0,0,0,1,0,0]=>720 [1,0,1,1,1,0,1,1,1,0,0,0,1,0,0,0]=>1080 [1,0,1,1,1,0,1,1,1,0,0,1,0,0,0,0]=>1440 [1,0,1,1,1,0,1,1,1,0,1,0,0,0,0,0]=>1800 [1,0,1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>2160 [1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0]=>24 [1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0]=>48 [1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>48 [1,0,1,1,1,1,0,0,0,0,1,1,0,1,0,0]=>96 [1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>144 [1,0,1,1,1,1,0,0,0,1,0,0,1,0,1,0]=>48 [1,0,1,1,1,1,0,0,0,1,0,0,1,1,0,0]=>96 [1,0,1,1,1,1,0,0,0,1,0,1,0,0,1,0]=>96 [1,0,1,1,1,1,0,0,0,1,0,1,0,1,0,0]=>192 [1,0,1,1,1,1,0,0,0,1,0,1,1,0,0,0]=>288 [1,0,1,1,1,1,0,0,0,1,1,0,0,0,1,0]=>144 [1,0,1,1,1,1,0,0,0,1,1,0,0,1,0,0]=>288 [1,0,1,1,1,1,0,0,0,1,1,0,1,0,0,0]=>432 [1,0,1,1,1,1,0,0,0,1,1,1,0,0,0,0]=>576 [1,0,1,1,1,1,0,0,1,0,0,0,1,0,1,0]=>72 [1,0,1,1,1,1,0,0,1,0,0,0,1,1,0,0]=>144 [1,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0]=>144 [1,0,1,1,1,1,0,0,1,0,0,1,0,1,0,0]=>288 [1,0,1,1,1,1,0,0,1,0,0,1,1,0,0,0]=>432 [1,0,1,1,1,1,0,0,1,0,1,0,0,0,1,0]=>216 [1,0,1,1,1,1,0,0,1,0,1,0,0,1,0,0]=>432 [1,0,1,1,1,1,0,0,1,0,1,0,1,0,0,0]=>648 [1,0,1,1,1,1,0,0,1,0,1,1,0,0,0,0]=>864 [1,0,1,1,1,1,0,0,1,1,0,0,0,0,1,0]=>288 [1,0,1,1,1,1,0,0,1,1,0,0,0,1,0,0]=>576 [1,0,1,1,1,1,0,0,1,1,0,0,1,0,0,0]=>864 [1,0,1,1,1,1,0,0,1,1,0,1,0,0,0,0]=>1152 [1,0,1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>1440 [1,0,1,1,1,1,0,1,0,0,0,0,1,0,1,0]=>96 [1,0,1,1,1,1,0,1,0,0,0,0,1,1,0,0]=>192 [1,0,1,1,1,1,0,1,0,0,0,1,0,0,1,0]=>192 [1,0,1,1,1,1,0,1,0,0,0,1,0,1,0,0]=>384 [1,0,1,1,1,1,0,1,0,0,0,1,1,0,0,0]=>576 [1,0,1,1,1,1,0,1,0,0,1,0,0,0,1,0]=>288 [1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0]=>576 [1,0,1,1,1,1,0,1,0,0,1,0,1,0,0,0]=>864 [1,0,1,1,1,1,0,1,0,0,1,1,0,0,0,0]=>1152 [1,0,1,1,1,1,0,1,0,1,0,0,0,0,1,0]=>384 [1,0,1,1,1,1,0,1,0,1,0,0,0,1,0,0]=>768 [1,0,1,1,1,1,0,1,0,1,0,0,1,0,0,0]=>1152 [1,0,1,1,1,1,0,1,0,1,0,1,0,0,0,0]=>1536 [1,0,1,1,1,1,0,1,0,1,1,0,0,0,0,0]=>1920 [1,0,1,1,1,1,0,1,1,0,0,0,0,0,1,0]=>480 [1,0,1,1,1,1,0,1,1,0,0,0,0,1,0,0]=>960 [1,0,1,1,1,1,0,1,1,0,0,0,1,0,0,0]=>1440 [1,0,1,1,1,1,0,1,1,0,0,1,0,0,0,0]=>1920 [1,0,1,1,1,1,0,1,1,0,1,0,0,0,0,0]=>2400 [1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>2880 [1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0]=>120 [1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0]=>240 [1,0,1,1,1,1,1,0,0,0,0,1,0,0,1,0]=>240 [1,0,1,1,1,1,1,0,0,0,0,1,0,1,0,0]=>480 [1,0,1,1,1,1,1,0,0,0,0,1,1,0,0,0]=>720 [1,0,1,1,1,1,1,0,0,0,1,0,0,0,1,0]=>360 [1,0,1,1,1,1,1,0,0,0,1,0,0,1,0,0]=>720 [1,0,1,1,1,1,1,0,0,0,1,0,1,0,0,0]=>1080 [1,0,1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>1440 [1,0,1,1,1,1,1,0,0,1,0,0,0,0,1,0]=>480 [1,0,1,1,1,1,1,0,0,1,0,0,0,1,0,0]=>960 [1,0,1,1,1,1,1,0,0,1,0,0,1,0,0,0]=>1440 [1,0,1,1,1,1,1,0,0,1,0,1,0,0,0,0]=>1920 [1,0,1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>2400 [1,0,1,1,1,1,1,0,1,0,0,0,0,0,1,0]=>600 [1,0,1,1,1,1,1,0,1,0,0,0,0,1,0,0]=>1200 [1,0,1,1,1,1,1,0,1,0,0,0,1,0,0,0]=>1800 [1,0,1,1,1,1,1,0,1,0,0,1,0,0,0,0]=>2400 [1,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0]=>3000 [1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>3600 [1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>720 [1,0,1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>1440 [1,0,1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>2160 [1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>2880 [1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>3600 [1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>4320 [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>5040 [1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0]=>2 [1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0]=>4 [1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0]=>4 [1,1,0,0,1,0,1,0,1,0,1,1,0,1,0,0]=>8 [1,1,0,0,1,0,1,0,1,0,1,1,1,0,0,0]=>12 [1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0]=>4 [1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0]=>8 [1,1,0,0,1,0,1,0,1,1,0,1,0,0,1,0]=>8 [1,1,0,0,1,0,1,0,1,1,0,1,0,1,0,0]=>16 [1,1,0,0,1,0,1,0,1,1,0,1,1,0,0,0]=>24 [1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0]=>12 [1,1,0,0,1,0,1,0,1,1,1,0,0,1,0,0]=>24 [1,1,0,0,1,0,1,0,1,1,1,0,1,0,0,0]=>36 [1,1,0,0,1,0,1,0,1,1,1,1,0,0,0,0]=>48 [1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0]=>4 [1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>8 [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>8 [1,1,0,0,1,0,1,1,0,0,1,1,0,1,0,0]=>16 [1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]=>24 [1,1,0,0,1,0,1,1,0,1,0,0,1,0,1,0]=>8 [1,1,0,0,1,0,1,1,0,1,0,0,1,1,0,0]=>16 [1,1,0,0,1,0,1,1,0,1,0,1,0,0,1,0]=>16 [1,1,0,0,1,0,1,1,0,1,0,1,0,1,0,0]=>32 [1,1,0,0,1,0,1,1,0,1,0,1,1,0,0,0]=>48 [1,1,0,0,1,0,1,1,0,1,1,0,0,0,1,0]=>24 [1,1,0,0,1,0,1,1,0,1,1,0,0,1,0,0]=>48 [1,1,0,0,1,0,1,1,0,1,1,0,1,0,0,0]=>72 [1,1,0,0,1,0,1,1,0,1,1,1,0,0,0,0]=>96 [1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0]=>12 [1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>24 [1,1,0,0,1,0,1,1,1,0,0,1,0,0,1,0]=>24 [1,1,0,0,1,0,1,1,1,0,0,1,0,1,0,0]=>48 [1,1,0,0,1,0,1,1,1,0,0,1,1,0,0,0]=>72 [1,1,0,0,1,0,1,1,1,0,1,0,0,0,1,0]=>36 [1,1,0,0,1,0,1,1,1,0,1,0,0,1,0,0]=>72 [1,1,0,0,1,0,1,1,1,0,1,0,1,0,0,0]=>108 [1,1,0,0,1,0,1,1,1,0,1,1,0,0,0,0]=>144 [1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0]=>48 [1,1,0,0,1,0,1,1,1,1,0,0,0,1,0,0]=>96 [1,1,0,0,1,0,1,1,1,1,0,0,1,0,0,0]=>144 [1,1,0,0,1,0,1,1,1,1,0,1,0,0,0,0]=>192 [1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0]=>240 [1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0]=>4 [1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0]=>8 [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>8 [1,1,0,0,1,1,0,0,1,0,1,1,0,1,0,0]=>16 [1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>24 [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>8 [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>16 [1,1,0,0,1,1,0,0,1,1,0,1,0,0,1,0]=>16 [1,1,0,0,1,1,0,0,1,1,0,1,0,1,0,0]=>32 [1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0]=>48 [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>24 [1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0]=>48 [1,1,0,0,1,1,0,0,1,1,1,0,1,0,0,0]=>72 [1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0]=>96 [1,1,0,0,1,1,0,1,0,0,1,0,1,0,1,0]=>8 [1,1,0,0,1,1,0,1,0,0,1,0,1,1,0,0]=>16 [1,1,0,0,1,1,0,1,0,0,1,1,0,0,1,0]=>16 [1,1,0,0,1,1,0,1,0,0,1,1,0,1,0,0]=>32 [1,1,0,0,1,1,0,1,0,0,1,1,1,0,0,0]=>48 [1,1,0,0,1,1,0,1,0,1,0,0,1,0,1,0]=>16 [1,1,0,0,1,1,0,1,0,1,0,0,1,1,0,0]=>32 [1,1,0,0,1,1,0,1,0,1,0,1,0,0,1,0]=>32 [1,1,0,0,1,1,0,1,0,1,0,1,0,1,0,0]=>64 [1,1,0,0,1,1,0,1,0,1,0,1,1,0,0,0]=>96 [1,1,0,0,1,1,0,1,0,1,1,0,0,0,1,0]=>48 [1,1,0,0,1,1,0,1,0,1,1,0,0,1,0,0]=>96 [1,1,0,0,1,1,0,1,0,1,1,0,1,0,0,0]=>144 [1,1,0,0,1,1,0,1,0,1,1,1,0,0,0,0]=>192 [1,1,0,0,1,1,0,1,1,0,0,0,1,0,1,0]=>24 [1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0]=>48 [1,1,0,0,1,1,0,1,1,0,0,1,0,0,1,0]=>48 [1,1,0,0,1,1,0,1,1,0,0,1,0,1,0,0]=>96 [1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0]=>144 [1,1,0,0,1,1,0,1,1,0,1,0,0,0,1,0]=>72 [1,1,0,0,1,1,0,1,1,0,1,0,0,1,0,0]=>144 [1,1,0,0,1,1,0,1,1,0,1,0,1,0,0,0]=>216 [1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0]=>288 [1,1,0,0,1,1,0,1,1,1,0,0,0,0,1,0]=>96 [1,1,0,0,1,1,0,1,1,1,0,0,0,1,0,0]=>192 [1,1,0,0,1,1,0,1,1,1,0,0,1,0,0,0]=>288 [1,1,0,0,1,1,0,1,1,1,0,1,0,0,0,0]=>384 [1,1,0,0,1,1,0,1,1,1,1,0,0,0,0,0]=>480 [1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0]=>12 [1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>24 [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>24 [1,1,0,0,1,1,1,0,0,0,1,1,0,1,0,0]=>48 [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>72 [1,1,0,0,1,1,1,0,0,1,0,0,1,0,1,0]=>24 [1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0]=>48 [1,1,0,0,1,1,1,0,0,1,0,1,0,0,1,0]=>48 [1,1,0,0,1,1,1,0,0,1,0,1,0,1,0,0]=>96 [1,1,0,0,1,1,1,0,0,1,0,1,1,0,0,0]=>144 [1,1,0,0,1,1,1,0,0,1,1,0,0,0,1,0]=>72 [1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0]=>144 [1,1,0,0,1,1,1,0,0,1,1,0,1,0,0,0]=>216 [1,1,0,0,1,1,1,0,0,1,1,1,0,0,0,0]=>288 [1,1,0,0,1,1,1,0,1,0,0,0,1,0,1,0]=>36 [1,1,0,0,1,1,1,0,1,0,0,0,1,1,0,0]=>72 [1,1,0,0,1,1,1,0,1,0,0,1,0,0,1,0]=>72 [1,1,0,0,1,1,1,0,1,0,0,1,0,1,0,0]=>144 [1,1,0,0,1,1,1,0,1,0,0,1,1,0,0,0]=>216 [1,1,0,0,1,1,1,0,1,0,1,0,0,0,1,0]=>108 [1,1,0,0,1,1,1,0,1,0,1,0,0,1,0,0]=>216 [1,1,0,0,1,1,1,0,1,0,1,0,1,0,0,0]=>324 [1,1,0,0,1,1,1,0,1,0,1,1,0,0,0,0]=>432 [1,1,0,0,1,1,1,0,1,1,0,0,0,0,1,0]=>144 [1,1,0,0,1,1,1,0,1,1,0,0,0,1,0,0]=>288 [1,1,0,0,1,1,1,0,1,1,0,0,1,0,0,0]=>432 [1,1,0,0,1,1,1,0,1,1,0,1,0,0,0,0]=>576 [1,1,0,0,1,1,1,0,1,1,1,0,0,0,0,0]=>720 [1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0]=>48 [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]=>96 [1,1,0,0,1,1,1,1,0,0,0,1,0,0,1,0]=>96 [1,1,0,0,1,1,1,1,0,0,0,1,0,1,0,0]=>192 [1,1,0,0,1,1,1,1,0,0,0,1,1,0,0,0]=>288 [1,1,0,0,1,1,1,1,0,0,1,0,0,0,1,0]=>144 [1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0]=>288 [1,1,0,0,1,1,1,1,0,0,1,0,1,0,0,0]=>432 [1,1,0,0,1,1,1,1,0,0,1,1,0,0,0,0]=>576 [1,1,0,0,1,1,1,1,0,1,0,0,0,0,1,0]=>192 [1,1,0,0,1,1,1,1,0,1,0,0,0,1,0,0]=>384 [1,1,0,0,1,1,1,1,0,1,0,0,1,0,0,0]=>576 [1,1,0,0,1,1,1,1,0,1,0,1,0,0,0,0]=>768 [1,1,0,0,1,1,1,1,0,1,1,0,0,0,0,0]=>960 [1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0]=>240 [1,1,0,0,1,1,1,1,1,0,0,0,0,1,0,0]=>480 [1,1,0,0,1,1,1,1,1,0,0,0,1,0,0,0]=>720 [1,1,0,0,1,1,1,1,1,0,0,1,0,0,0,0]=>960 [1,1,0,0,1,1,1,1,1,0,1,0,0,0,0,0]=>1200 [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>1440 [1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0]=>4 [1,1,0,1,0,0,1,0,1,0,1,0,1,1,0,0]=>8 [1,1,0,1,0,0,1,0,1,0,1,1,0,0,1,0]=>8 [1,1,0,1,0,0,1,0,1,0,1,1,0,1,0,0]=>16 [1,1,0,1,0,0,1,0,1,0,1,1,1,0,0,0]=>24 [1,1,0,1,0,0,1,0,1,1,0,0,1,0,1,0]=>8 [1,1,0,1,0,0,1,0,1,1,0,0,1,1,0,0]=>16 [1,1,0,1,0,0,1,0,1,1,0,1,0,0,1,0]=>16 [1,1,0,1,0,0,1,0,1,1,0,1,0,1,0,0]=>32 [1,1,0,1,0,0,1,0,1,1,0,1,1,0,0,0]=>48 [1,1,0,1,0,0,1,0,1,1,1,0,0,0,1,0]=>24 [1,1,0,1,0,0,1,0,1,1,1,0,0,1,0,0]=>48 [1,1,0,1,0,0,1,0,1,1,1,0,1,0,0,0]=>72 [1,1,0,1,0,0,1,0,1,1,1,1,0,0,0,0]=>96
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Description
The product of the heights of the descending steps of a Dyck path.
A Dyck path with 2n letters defines a partition inside an [n] x [n] board. This statistic counts the number of placements of n non-attacking rooks on the board.
By the Gessel-Viennot theory of orthogonal polynomials this corresponds to the 0-moment of the Hermite polynomials.
Summing the values of the statistic over all Dyck paths of fixed size n the number of perfect matchings (2n+1)!! is obtained: up steps are openers, down steps closers and the rooks determine a pairing of openers and closers.
References
[1] Viennot, Gérard A combinatorial theory for general orthogonal polynomials with extensions and applications MathSciNet:0838979
Code
def statistic(x):
    stat = 1
    currht = 0
    for c in x:
        if c == 1:
            currht = currht + 1
        else:
            stat = stat*currht
            currht = currht -  1
    return stat
Created
Feb 18, 2013 at 18:06 by Alejandro Morales
Updated
May 29, 2015 at 15:59 by Martin Rubey