=>

[1]=>1 [1,2]=>2 [2,1]=>1 [1,2,3]=>6 [1,3,2]=>4 [2,1,3]=>4 [2,3,1]=>2 [3,1,2]=>2 [3,2,1]=>1 [1,2,3,4]=>24 [1,2,4,3]=>18 [1,3,2,4]=>20 [1,3,4,2]=>12 [1,4,2,3]=>12 [1,4,3,2]=>8 [2,1,3,4]=>18 [2,1,4,3]=>14 [2,3,1,4]=>12 [2,3,4,1]=>6 [2,4,1,3]=>8 [2,4,3,1]=>4 [3,1,2,4]=>12 [3,1,4,2]=>8 [3,2,1,4]=>8 [3,2,4,1]=>4 [3,4,1,2]=>4 [3,4,2,1]=>2 [4,1,2,3]=>6 [4,1,3,2]=>4 [4,2,1,3]=>4 [4,2,3,1]=>2 [4,3,1,2]=>2 [4,3,2,1]=>1 [1,2,3,4,5]=>120 [1,2,3,5,4]=>96 [1,2,4,3,5]=>108 [1,2,4,5,3]=>72 [1,2,5,3,4]=>72 [1,2,5,4,3]=>54 [1,3,2,4,5]=>108 [1,3,2,5,4]=>88 [1,3,4,2,5]=>84 [1,3,4,5,2]=>48 [1,3,5,2,4]=>60 [1,3,5,4,2]=>36 [1,4,2,3,5]=>84 [1,4,2,5,3]=>60 [1,4,3,2,5]=>68 [1,4,3,5,2]=>40 [1,4,5,2,3]=>36 [1,4,5,3,2]=>24 [1,5,2,3,4]=>48 [1,5,2,4,3]=>36 [1,5,3,2,4]=>40 [1,5,3,4,2]=>24 [1,5,4,2,3]=>24 [1,5,4,3,2]=>16 [2,1,3,4,5]=>96 [2,1,3,5,4]=>78 [2,1,4,3,5]=>88 [2,1,4,5,3]=>60 [2,1,5,3,4]=>60 [2,1,5,4,3]=>46 [2,3,1,4,5]=>72 [2,3,1,5,4]=>60 [2,3,4,1,5]=>48 [2,3,4,5,1]=>24 [2,3,5,1,4]=>36 [2,3,5,4,1]=>18 [2,4,1,3,5]=>60 [2,4,1,5,3]=>44 [2,4,3,1,5]=>40 [2,4,3,5,1]=>20 [2,4,5,1,3]=>24 [2,4,5,3,1]=>12 [2,5,1,3,4]=>36 [2,5,1,4,3]=>28 [2,5,3,1,4]=>24 [2,5,3,4,1]=>12 [2,5,4,1,3]=>16 [2,5,4,3,1]=>8 [3,1,2,4,5]=>72 [3,1,2,5,4]=>60 [3,1,4,2,5]=>60 [3,1,4,5,2]=>36 [3,1,5,2,4]=>44 [3,1,5,4,2]=>28 [3,2,1,4,5]=>54 [3,2,1,5,4]=>46 [3,2,4,1,5]=>36 [3,2,4,5,1]=>18 [3,2,5,1,4]=>28 [3,2,5,4,1]=>14 [3,4,1,2,5]=>36 [3,4,1,5,2]=>24 [3,4,2,1,5]=>24 [3,4,2,5,1]=>12 [3,4,5,1,2]=>12 [3,4,5,2,1]=>6 [3,5,1,2,4]=>24 [3,5,1,4,2]=>16 [3,5,2,1,4]=>16 [3,5,2,4,1]=>8 [3,5,4,1,2]=>8 [3,5,4,2,1]=>4 [4,1,2,3,5]=>48 [4,1,2,5,3]=>36 [4,1,3,2,5]=>40 [4,1,3,5,2]=>24 [4,1,5,2,3]=>24 [4,1,5,3,2]=>16 [4,2,1,3,5]=>36 [4,2,1,5,3]=>28 [4,2,3,1,5]=>24 [4,2,3,5,1]=>12 [4,2,5,1,3]=>16 [4,2,5,3,1]=>8 [4,3,1,2,5]=>24 [4,3,1,5,2]=>16 [4,3,2,1,5]=>16 [4,3,2,5,1]=>8 [4,3,5,1,2]=>8 [4,3,5,2,1]=>4 [4,5,1,2,3]=>12 [4,5,1,3,2]=>8 [4,5,2,1,3]=>8 [4,5,2,3,1]=>4 [4,5,3,1,2]=>4 [4,5,3,2,1]=>2 [5,1,2,3,4]=>24 [5,1,2,4,3]=>18 [5,1,3,2,4]=>20 [5,1,3,4,2]=>12 [5,1,4,2,3]=>12 [5,1,4,3,2]=>8 [5,2,1,3,4]=>18 [5,2,1,4,3]=>14 [5,2,3,1,4]=>12 [5,2,3,4,1]=>6 [5,2,4,1,3]=>8 [5,2,4,3,1]=>4 [5,3,1,2,4]=>12 [5,3,1,4,2]=>8 [5,3,2,1,4]=>8 [5,3,2,4,1]=>4 [5,3,4,1,2]=>4 [5,3,4,2,1]=>2 [5,4,1,2,3]=>6 [5,4,1,3,2]=>4 [5,4,2,1,3]=>4 [5,4,2,3,1]=>2 [5,4,3,1,2]=>2 [5,4,3,2,1]=>1 [1,2,3,4,5,6]=>720 [1,2,3,4,6,5]=>600 [1,2,3,5,4,6]=>672 [1,2,3,5,6,4]=>480 [1,2,3,6,4,5]=>480 [1,2,3,6,5,4]=>384 [1,2,4,3,5,6]=>684 [1,2,4,3,6,5]=>576 [1,2,4,5,3,6]=>576 [1,2,4,5,6,3]=>360 [1,2,4,6,3,5]=>432 [1,2,4,6,5,3]=>288 [1,2,5,3,4,6]=>576 [1,2,5,3,6,4]=>432 [1,2,5,4,3,6]=>504 [1,2,5,4,6,3]=>324 [1,2,5,6,3,4]=>288 [1,2,5,6,4,3]=>216 [1,2,6,3,4,5]=>360 [1,2,6,3,5,4]=>288 [1,2,6,4,3,5]=>324 [1,2,6,4,5,3]=>216 [1,2,6,5,3,4]=>216 [1,2,6,5,4,3]=>162 [1,3,2,4,5,6]=>672 [1,3,2,4,6,5]=>564 [1,3,2,5,4,6]=>632 [1,3,2,5,6,4]=>456 [1,3,2,6,4,5]=>456 [1,3,2,6,5,4]=>368 [1,3,4,2,5,6]=>576 [1,3,4,2,6,5]=>492 [1,3,4,5,2,6]=>432 [1,3,4,5,6,2]=>240 [1,3,4,6,2,5]=>336 [1,3,4,6,5,2]=>192 [1,3,5,2,4,6]=>504 [1,3,5,2,6,4]=>384 [1,3,5,4,2,6]=>384 [1,3,5,4,6,2]=>216 [1,3,5,6,2,4]=>240 [1,3,5,6,4,2]=>144 [1,3,6,2,4,5]=>324 [1,3,6,2,5,4]=>264 [1,3,6,4,2,5]=>252 [1,3,6,4,5,2]=>144 [1,3,6,5,2,4]=>180 [1,3,6,5,4,2]=>108 [1,4,2,3,5,6]=>576 [1,4,2,3,6,5]=>492 [1,4,2,5,3,6]=>504 [1,4,2,5,6,3]=>324 [1,4,2,6,3,5]=>384 [1,4,2,6,5,3]=>264 [1,4,3,2,5,6]=>504 [1,4,3,2,6,5]=>436 [1,4,3,5,2,6]=>384 [1,4,3,5,6,2]=>216 [1,4,3,6,2,5]=>304 [1,4,3,6,5,2]=>176 [1,4,5,2,3,6]=>360 [1,4,5,2,6,3]=>252 [1,4,5,3,2,6]=>288 [1,4,5,3,6,2]=>168 [1,4,5,6,2,3]=>144 [1,4,5,6,3,2]=>96 [1,4,6,2,3,5]=>252 [1,4,6,2,5,3]=>180 [1,4,6,3,2,5]=>204 [1,4,6,3,5,2]=>120 [1,4,6,5,2,3]=>108 [1,4,6,5,3,2]=>72 [1,5,2,3,4,6]=>432 [1,5,2,3,6,4]=>336 [1,5,2,4,3,6]=>384 [1,5,2,4,6,3]=>252 [1,5,2,6,3,4]=>240 [1,5,2,6,4,3]=>180 [1,5,3,2,4,6]=>384 [1,5,3,2,6,4]=>304 [1,5,3,4,2,6]=>296 [1,5,3,4,6,2]=>168 [1,5,3,6,2,4]=>200 [1,5,3,6,4,2]=>120 [1,5,4,2,3,6]=>288 [1,5,4,2,6,3]=>204 [1,5,4,3,2,6]=>232 [1,5,4,3,6,2]=>136 [1,5,4,6,2,3]=>120 [1,5,4,6,3,2]=>80 [1,5,6,2,3,4]=>144 [1,5,6,2,4,3]=>108 [1,5,6,3,2,4]=>120 [1,5,6,3,4,2]=>72 [1,5,6,4,2,3]=>72 [1,5,6,4,3,2]=>48 [1,6,2,3,4,5]=>240 [1,6,2,3,5,4]=>192 [1,6,2,4,3,5]=>216 [1,6,2,4,5,3]=>144 [1,6,2,5,3,4]=>144 [1,6,2,5,4,3]=>108 [1,6,3,2,4,5]=>216 [1,6,3,2,5,4]=>176 [1,6,3,4,2,5]=>168 [1,6,3,4,5,2]=>96 [1,6,3,5,2,4]=>120 [1,6,3,5,4,2]=>72 [1,6,4,2,3,5]=>168 [1,6,4,2,5,3]=>120 [1,6,4,3,2,5]=>136 [1,6,4,3,5,2]=>80 [1,6,4,5,2,3]=>72 [1,6,4,5,3,2]=>48 [1,6,5,2,3,4]=>96 [1,6,5,2,4,3]=>72 [1,6,5,3,2,4]=>80 [1,6,5,3,4,2]=>48 [1,6,5,4,2,3]=>48 [1,6,5,4,3,2]=>32 [2,1,3,4,5,6]=>600 [2,1,3,4,6,5]=>504 [2,1,3,5,4,6]=>564 [2,1,3,5,6,4]=>408 [2,1,3,6,4,5]=>408 [2,1,3,6,5,4]=>330 [2,1,4,3,5,6]=>576 [2,1,4,3,6,5]=>488 [2,1,4,5,3,6]=>492 [2,1,4,5,6,3]=>312 [2,1,4,6,3,5]=>372 [2,1,4,6,5,3]=>252 [2,1,5,3,4,6]=>492 [2,1,5,3,6,4]=>372 [2,1,5,4,3,6]=>436 [2,1,5,4,6,3]=>284 [2,1,5,6,3,4]=>252 [2,1,5,6,4,3]=>192 [2,1,6,3,4,5]=>312 [2,1,6,3,5,4]=>252 [2,1,6,4,3,5]=>284 [2,1,6,4,5,3]=>192 [2,1,6,5,3,4]=>192 [2,1,6,5,4,3]=>146 [2,3,1,4,5,6]=>480 [2,3,1,4,6,5]=>408 [2,3,1,5,4,6]=>456 [2,3,1,5,6,4]=>336 [2,3,1,6,4,5]=>336 [2,3,1,6,5,4]=>276 [2,3,4,1,5,6]=>360 [2,3,4,1,6,5]=>312 [2,3,4,5,1,6]=>240 [2,3,4,5,6,1]=>120 [2,3,4,6,1,5]=>192 [2,3,4,6,5,1]=>96 [2,3,5,1,4,6]=>324 [2,3,5,1,6,4]=>252 [2,3,5,4,1,6]=>216 [2,3,5,4,6,1]=>108 [2,3,5,6,1,4]=>144 [2,3,5,6,4,1]=>72 [2,3,6,1,4,5]=>216 [2,3,6,1,5,4]=>180 [2,3,6,4,1,5]=>144 [2,3,6,4,5,1]=>72 [2,3,6,5,1,4]=>108 [2,3,6,5,4,1]=>54 [2,4,1,3,5,6]=>432 [2,4,1,3,6,5]=>372 [2,4,1,5,3,6]=>384 [2,4,1,5,6,3]=>252 [2,4,1,6,3,5]=>296 [2,4,1,6,5,3]=>208 [2,4,3,1,5,6]=>324 [2,4,3,1,6,5]=>284 [2,4,3,5,1,6]=>216 [2,4,3,5,6,1]=>108 [2,4,3,6,1,5]=>176 [2,4,3,6,5,1]=>88 [2,4,5,1,3,6]=>252 [2,4,5,1,6,3]=>180 [2,4,5,3,1,6]=>168 [2,4,5,3,6,1]=>84 [2,4,5,6,1,3]=>96 [2,4,5,6,3,1]=>48 [2,4,6,1,3,5]=>180 [2,4,6,1,5,3]=>132 [2,4,6,3,1,5]=>120 [2,4,6,3,5,1]=>60 [2,4,6,5,1,3]=>72 [2,4,6,5,3,1]=>36 [2,5,1,3,4,6]=>336 [2,5,1,3,6,4]=>264 [2,5,1,4,3,6]=>304 [2,5,1,4,6,3]=>204 [2,5,1,6,3,4]=>192 [2,5,1,6,4,3]=>148 [2,5,3,1,4,6]=>252 [2,5,3,1,6,4]=>204 [2,5,3,4,1,6]=>168 [2,5,3,4,6,1]=>84 [2,5,3,6,1,4]=>120 [2,5,3,6,4,1]=>60 [2,5,4,1,3,6]=>204 [2,5,4,1,6,3]=>148 [2,5,4,3,1,6]=>136 [2,5,4,3,6,1]=>68 [2,5,4,6,1,3]=>80 [2,5,4,6,3,1]=>40 [2,5,6,1,3,4]=>108 [2,5,6,1,4,3]=>84 [2,5,6,3,1,4]=>72 [2,5,6,3,4,1]=>36 [2,5,6,4,1,3]=>48 [2,5,6,4,3,1]=>24 [2,6,1,3,4,5]=>192 [2,6,1,3,5,4]=>156 [2,6,1,4,3,5]=>176 [2,6,1,4,5,3]=>120 [2,6,1,5,3,4]=>120 [2,6,1,5,4,3]=>92 [2,6,3,1,4,5]=>144 [2,6,3,1,5,4]=>120 [2,6,3,4,1,5]=>96 [2,6,3,4,5,1]=>48 [2,6,3,5,1,4]=>72 [2,6,3,5,4,1]=>36 [2,6,4,1,3,5]=>120 [2,6,4,1,5,3]=>88 [2,6,4,3,1,5]=>80 [2,6,4,3,5,1]=>40 [2,6,4,5,1,3]=>48 [2,6,4,5,3,1]=>24 [2,6,5,1,3,4]=>72 [2,6,5,1,4,3]=>56 [2,6,5,3,1,4]=>48 [2,6,5,3,4,1]=>24 [2,6,5,4,1,3]=>32 [2,6,5,4,3,1]=>16 [3,1,2,4,5,6]=>480 [3,1,2,4,6,5]=>408 [3,1,2,5,4,6]=>456 [3,1,2,5,6,4]=>336 [3,1,2,6,4,5]=>336 [3,1,2,6,5,4]=>276 [3,1,4,2,5,6]=>432 [3,1,4,2,6,5]=>372 [3,1,4,5,2,6]=>336 [3,1,4,5,6,2]=>192 [3,1,4,6,2,5]=>264 [3,1,4,6,5,2]=>156 [3,1,5,2,4,6]=>384 [3,1,5,2,6,4]=>296 [3,1,5,4,2,6]=>304 [3,1,5,4,6,2]=>176 [3,1,5,6,2,4]=>192 [3,1,5,6,4,2]=>120 [3,1,6,2,4,5]=>252 [3,1,6,2,5,4]=>208 [3,1,6,4,2,5]=>204 [3,1,6,4,5,2]=>120 [3,1,6,5,2,4]=>148 [3,1,6,5,4,2]=>92 [3,2,1,4,5,6]=>384 [3,2,1,4,6,5]=>330 [3,2,1,5,4,6]=>368 [3,2,1,5,6,4]=>276 [3,2,1,6,4,5]=>276 [3,2,1,6,5,4]=>230 [3,2,4,1,5,6]=>288 [3,2,4,1,6,5]=>252 [3,2,4,5,1,6]=>192 [3,2,4,5,6,1]=>96 [3,2,4,6,1,5]=>156 [3,2,4,6,5,1]=>78 [3,2,5,1,4,6]=>264 [3,2,5,1,6,4]=>208 [3,2,5,4,1,6]=>176 [3,2,5,4,6,1]=>88 [3,2,5,6,1,4]=>120 [3,2,5,6,4,1]=>60 [3,2,6,1,4,5]=>180 [3,2,6,1,5,4]=>152 [3,2,6,4,1,5]=>120 [3,2,6,4,5,1]=>60 [3,2,6,5,1,4]=>92 [3,2,6,5,4,1]=>46 [3,4,1,2,5,6]=>288 [3,4,1,2,6,5]=>252 [3,4,1,5,2,6]=>240 [3,4,1,5,6,2]=>144 [3,4,1,6,2,5]=>192 [3,4,1,6,5,2]=>120 [3,4,2,1,5,6]=>216 [3,4,2,1,6,5]=>192 [3,4,2,5,1,6]=>144 [3,4,2,5,6,1]=>72 [3,4,2,6,1,5]=>120 [3,4,2,6,5,1]=>60 [3,4,5,1,2,6]=>144 [3,4,5,1,6,2]=>96 [3,4,5,2,1,6]=>96 [3,4,5,2,6,1]=>48 [3,4,5,6,1,2]=>48 [3,4,5,6,2,1]=>24 [3,4,6,1,2,5]=>108 [3,4,6,1,5,2]=>72 [3,4,6,2,1,5]=>72 [3,4,6,2,5,1]=>36 [3,4,6,5,1,2]=>36 [3,4,6,5,2,1]=>18 [3,5,1,2,4,6]=>240 [3,5,1,2,6,4]=>192 [3,5,1,4,2,6]=>200 [3,5,1,4,6,2]=>120 [3,5,1,6,2,4]=>136 [3,5,1,6,4,2]=>88 [3,5,2,1,4,6]=>180 [3,5,2,1,6,4]=>148 [3,5,2,4,1,6]=>120 [3,5,2,4,6,1]=>60 [3,5,2,6,1,4]=>88 [3,5,2,6,4,1]=>44 [3,5,4,1,2,6]=>120 [3,5,4,1,6,2]=>80 [3,5,4,2,1,6]=>80 [3,5,4,2,6,1]=>40 [3,5,4,6,1,2]=>40 [3,5,4,6,2,1]=>20 [3,5,6,1,2,4]=>72 [3,5,6,1,4,2]=>48 [3,5,6,2,1,4]=>48 [3,5,6,2,4,1]=>24 [3,5,6,4,1,2]=>24 [3,5,6,4,2,1]=>12 [3,6,1,2,4,5]=>144 [3,6,1,2,5,4]=>120 [3,6,1,4,2,5]=>120 [3,6,1,4,5,2]=>72 [3,6,1,5,2,4]=>88 [3,6,1,5,4,2]=>56 [3,6,2,1,4,5]=>108 [3,6,2,1,5,4]=>92 [3,6,2,4,1,5]=>72 [3,6,2,4,5,1]=>36 [3,6,2,5,1,4]=>56 [3,6,2,5,4,1]=>28 [3,6,4,1,2,5]=>72 [3,6,4,1,5,2]=>48 [3,6,4,2,1,5]=>48 [3,6,4,2,5,1]=>24 [3,6,4,5,1,2]=>24 [3,6,4,5,2,1]=>12 [3,6,5,1,2,4]=>48 [3,6,5,1,4,2]=>32 [3,6,5,2,1,4]=>32 [3,6,5,2,4,1]=>16 [3,6,5,4,1,2]=>16 [3,6,5,4,2,1]=>8 [4,1,2,3,5,6]=>360 [4,1,2,3,6,5]=>312 [4,1,2,5,3,6]=>324 [4,1,2,5,6,3]=>216 [4,1,2,6,3,5]=>252 [4,1,2,6,5,3]=>180 [4,1,3,2,5,6]=>324 [4,1,3,2,6,5]=>284 [4,1,3,5,2,6]=>252 [4,1,3,5,6,2]=>144 [4,1,3,6,2,5]=>204 [4,1,3,6,5,2]=>120 [4,1,5,2,3,6]=>252 [4,1,5,2,6,3]=>180 [4,1,5,3,2,6]=>204 [4,1,5,3,6,2]=>120 [4,1,5,6,2,3]=>108 [4,1,5,6,3,2]=>72 [4,1,6,2,3,5]=>180 [4,1,6,2,5,3]=>132 [4,1,6,3,2,5]=>148 [4,1,6,3,5,2]=>88 [4,1,6,5,2,3]=>84 [4,1,6,5,3,2]=>56 [4,2,1,3,5,6]=>288 [4,2,1,3,6,5]=>252 [4,2,1,5,3,6]=>264 [4,2,1,5,6,3]=>180 [4,2,1,6,3,5]=>208 [4,2,1,6,5,3]=>152 [4,2,3,1,5,6]=>216 [4,2,3,1,6,5]=>192 [4,2,3,5,1,6]=>144 [4,2,3,5,6,1]=>72 [4,2,3,6,1,5]=>120 [4,2,3,6,5,1]=>60 [4,2,5,1,3,6]=>180 [4,2,5,1,6,3]=>132 [4,2,5,3,1,6]=>120 [4,2,5,3,6,1]=>60 [4,2,5,6,1,3]=>72 [4,2,5,6,3,1]=>36 [4,2,6,1,3,5]=>132 [4,2,6,1,5,3]=>100 [4,2,6,3,1,5]=>88 [4,2,6,3,5,1]=>44 [4,2,6,5,1,3]=>56 [4,2,6,5,3,1]=>28 [4,3,1,2,5,6]=>216 [4,3,1,2,6,5]=>192 [4,3,1,5,2,6]=>180 [4,3,1,5,6,2]=>108 [4,3,1,6,2,5]=>148 [4,3,1,6,5,2]=>92 [4,3,2,1,5,6]=>162 [4,3,2,1,6,5]=>146 [4,3,2,5,1,6]=>108 [4,3,2,5,6,1]=>54 [4,3,2,6,1,5]=>92 [4,3,2,6,5,1]=>46 [4,3,5,1,2,6]=>108 [4,3,5,1,6,2]=>72 [4,3,5,2,1,6]=>72 [4,3,5,2,6,1]=>36 [4,3,5,6,1,2]=>36 [4,3,5,6,2,1]=>18 [4,3,6,1,2,5]=>84 [4,3,6,1,5,2]=>56 [4,3,6,2,1,5]=>56 [4,3,6,2,5,1]=>28 [4,3,6,5,1,2]=>28 [4,3,6,5,2,1]=>14 [4,5,1,2,3,6]=>144 [4,5,1,2,6,3]=>108 [4,5,1,3,2,6]=>120 [4,5,1,3,6,2]=>72 [4,5,1,6,2,3]=>72 [4,5,1,6,3,2]=>48 [4,5,2,1,3,6]=>108 [4,5,2,1,6,3]=>84 [4,5,2,3,1,6]=>72 [4,5,2,3,6,1]=>36 [4,5,2,6,1,3]=>48 [4,5,2,6,3,1]=>24 [4,5,3,1,2,6]=>72 [4,5,3,1,6,2]=>48 [4,5,3,2,1,6]=>48 [4,5,3,2,6,1]=>24 [4,5,3,6,1,2]=>24 [4,5,3,6,2,1]=>12 [4,5,6,1,2,3]=>36 [4,5,6,1,3,2]=>24 [4,5,6,2,1,3]=>24 [4,5,6,2,3,1]=>12 [4,5,6,3,1,2]=>12 [4,5,6,3,2,1]=>6 [4,6,1,2,3,5]=>96 [4,6,1,2,5,3]=>72 [4,6,1,3,2,5]=>80 [4,6,1,3,5,2]=>48 [4,6,1,5,2,3]=>48 [4,6,1,5,3,2]=>32 [4,6,2,1,3,5]=>72 [4,6,2,1,5,3]=>56 [4,6,2,3,1,5]=>48 [4,6,2,3,5,1]=>24 [4,6,2,5,1,3]=>32 [4,6,2,5,3,1]=>16 [4,6,3,1,2,5]=>48 [4,6,3,1,5,2]=>32 [4,6,3,2,1,5]=>32 [4,6,3,2,5,1]=>16 [4,6,3,5,1,2]=>16 [4,6,3,5,2,1]=>8 [4,6,5,1,2,3]=>24 [4,6,5,1,3,2]=>16 [4,6,5,2,1,3]=>16 [4,6,5,2,3,1]=>8 [4,6,5,3,1,2]=>8 [4,6,5,3,2,1]=>4 [5,1,2,3,4,6]=>240 [5,1,2,3,6,4]=>192 [5,1,2,4,3,6]=>216 [5,1,2,4,6,3]=>144 [5,1,2,6,3,4]=>144 [5,1,2,6,4,3]=>108 [5,1,3,2,4,6]=>216 [5,1,3,2,6,4]=>176 [5,1,3,4,2,6]=>168 [5,1,3,4,6,2]=>96 [5,1,3,6,2,4]=>120 [5,1,3,6,4,2]=>72 [5,1,4,2,3,6]=>168 [5,1,4,2,6,3]=>120 [5,1,4,3,2,6]=>136 [5,1,4,3,6,2]=>80 [5,1,4,6,2,3]=>72 [5,1,4,6,3,2]=>48 [5,1,6,2,3,4]=>96 [5,1,6,2,4,3]=>72 [5,1,6,3,2,4]=>80 [5,1,6,3,4,2]=>48 [5,1,6,4,2,3]=>48 [5,1,6,4,3,2]=>32 [5,2,1,3,4,6]=>192 [5,2,1,3,6,4]=>156 [5,2,1,4,3,6]=>176 [5,2,1,4,6,3]=>120 [5,2,1,6,3,4]=>120 [5,2,1,6,4,3]=>92 [5,2,3,1,4,6]=>144 [5,2,3,1,6,4]=>120 [5,2,3,4,1,6]=>96 [5,2,3,4,6,1]=>48 [5,2,3,6,1,4]=>72 [5,2,3,6,4,1]=>36 [5,2,4,1,3,6]=>120 [5,2,4,1,6,3]=>88 [5,2,4,3,1,6]=>80 [5,2,4,3,6,1]=>40 [5,2,4,6,1,3]=>48 [5,2,4,6,3,1]=>24 [5,2,6,1,3,4]=>72 [5,2,6,1,4,3]=>56 [5,2,6,3,1,4]=>48 [5,2,6,3,4,1]=>24 [5,2,6,4,1,3]=>32 [5,2,6,4,3,1]=>16 [5,3,1,2,4,6]=>144 [5,3,1,2,6,4]=>120 [5,3,1,4,2,6]=>120 [5,3,1,4,6,2]=>72 [5,3,1,6,2,4]=>88 [5,3,1,6,4,2]=>56 [5,3,2,1,4,6]=>108 [5,3,2,1,6,4]=>92 [5,3,2,4,1,6]=>72 [5,3,2,4,6,1]=>36 [5,3,2,6,1,4]=>56 [5,3,2,6,4,1]=>28 [5,3,4,1,2,6]=>72 [5,3,4,1,6,2]=>48 [5,3,4,2,1,6]=>48 [5,3,4,2,6,1]=>24 [5,3,4,6,1,2]=>24 [5,3,4,6,2,1]=>12 [5,3,6,1,2,4]=>48 [5,3,6,1,4,2]=>32 [5,3,6,2,1,4]=>32 [5,3,6,2,4,1]=>16 [5,3,6,4,1,2]=>16 [5,3,6,4,2,1]=>8 [5,4,1,2,3,6]=>96 [5,4,1,2,6,3]=>72 [5,4,1,3,2,6]=>80 [5,4,1,3,6,2]=>48 [5,4,1,6,2,3]=>48 [5,4,1,6,3,2]=>32 [5,4,2,1,3,6]=>72 [5,4,2,1,6,3]=>56 [5,4,2,3,1,6]=>48 [5,4,2,3,6,1]=>24 [5,4,2,6,1,3]=>32 [5,4,2,6,3,1]=>16 [5,4,3,1,2,6]=>48 [5,4,3,1,6,2]=>32 [5,4,3,2,1,6]=>32 [5,4,3,2,6,1]=>16 [5,4,3,6,1,2]=>16 [5,4,3,6,2,1]=>8 [5,4,6,1,2,3]=>24 [5,4,6,1,3,2]=>16 [5,4,6,2,1,3]=>16 [5,4,6,2,3,1]=>8 [5,4,6,3,1,2]=>8 [5,4,6,3,2,1]=>4 [5,6,1,2,3,4]=>48 [5,6,1,2,4,3]=>36 [5,6,1,3,2,4]=>40 [5,6,1,3,4,2]=>24 [5,6,1,4,2,3]=>24 [5,6,1,4,3,2]=>16 [5,6,2,1,3,4]=>36 [5,6,2,1,4,3]=>28 [5,6,2,3,1,4]=>24 [5,6,2,3,4,1]=>12 [5,6,2,4,1,3]=>16 [5,6,2,4,3,1]=>8 [5,6,3,1,2,4]=>24 [5,6,3,1,4,2]=>16 [5,6,3,2,1,4]=>16 [5,6,3,2,4,1]=>8 [5,6,3,4,1,2]=>8 [5,6,3,4,2,1]=>4 [5,6,4,1,2,3]=>12 [5,6,4,1,3,2]=>8 [5,6,4,2,1,3]=>8 [5,6,4,2,3,1]=>4 [5,6,4,3,1,2]=>4 [5,6,4,3,2,1]=>2 [6,1,2,3,4,5]=>120 [6,1,2,3,5,4]=>96 [6,1,2,4,3,5]=>108 [6,1,2,4,5,3]=>72 [6,1,2,5,3,4]=>72 [6,1,2,5,4,3]=>54 [6,1,3,2,4,5]=>108 [6,1,3,2,5,4]=>88 [6,1,3,4,2,5]=>84 [6,1,3,4,5,2]=>48 [6,1,3,5,2,4]=>60 [6,1,3,5,4,2]=>36 [6,1,4,2,3,5]=>84 [6,1,4,2,5,3]=>60 [6,1,4,3,2,5]=>68 [6,1,4,3,5,2]=>40 [6,1,4,5,2,3]=>36 [6,1,4,5,3,2]=>24 [6,1,5,2,3,4]=>48 [6,1,5,2,4,3]=>36 [6,1,5,3,2,4]=>40 [6,1,5,3,4,2]=>24 [6,1,5,4,2,3]=>24 [6,1,5,4,3,2]=>16 [6,2,1,3,4,5]=>96 [6,2,1,3,5,4]=>78 [6,2,1,4,3,5]=>88 [6,2,1,4,5,3]=>60 [6,2,1,5,3,4]=>60 [6,2,1,5,4,3]=>46 [6,2,3,1,4,5]=>72 [6,2,3,1,5,4]=>60 [6,2,3,4,1,5]=>48 [6,2,3,4,5,1]=>24 [6,2,3,5,1,4]=>36 [6,2,3,5,4,1]=>18 [6,2,4,1,3,5]=>60 [6,2,4,1,5,3]=>44 [6,2,4,3,1,5]=>40 [6,2,4,3,5,1]=>20 [6,2,4,5,1,3]=>24 [6,2,4,5,3,1]=>12 [6,2,5,1,3,4]=>36 [6,2,5,1,4,3]=>28 [6,2,5,3,1,4]=>24 [6,2,5,3,4,1]=>12 [6,2,5,4,1,3]=>16 [6,2,5,4,3,1]=>8 [6,3,1,2,4,5]=>72 [6,3,1,2,5,4]=>60 [6,3,1,4,2,5]=>60 [6,3,1,4,5,2]=>36 [6,3,1,5,2,4]=>44 [6,3,1,5,4,2]=>28 [6,3,2,1,4,5]=>54 [6,3,2,1,5,4]=>46 [6,3,2,4,1,5]=>36 [6,3,2,4,5,1]=>18 [6,3,2,5,1,4]=>28 [6,3,2,5,4,1]=>14 [6,3,4,1,2,5]=>36 [6,3,4,1,5,2]=>24 [6,3,4,2,1,5]=>24 [6,3,4,2,5,1]=>12 [6,3,4,5,1,2]=>12 [6,3,4,5,2,1]=>6 [6,3,5,1,2,4]=>24 [6,3,5,1,4,2]=>16 [6,3,5,2,1,4]=>16 [6,3,5,2,4,1]=>8 [6,3,5,4,1,2]=>8 [6,3,5,4,2,1]=>4 [6,4,1,2,3,5]=>48 [6,4,1,2,5,3]=>36 [6,4,1,3,2,5]=>40 [6,4,1,3,5,2]=>24 [6,4,1,5,2,3]=>24 [6,4,1,5,3,2]=>16 [6,4,2,1,3,5]=>36 [6,4,2,1,5,3]=>28 [6,4,2,3,1,5]=>24 [6,4,2,3,5,1]=>12 [6,4,2,5,1,3]=>16 [6,4,2,5,3,1]=>8 [6,4,3,1,2,5]=>24 [6,4,3,1,5,2]=>16 [6,4,3,2,1,5]=>16 [6,4,3,2,5,1]=>8 [6,4,3,5,1,2]=>8 [6,4,3,5,2,1]=>4 [6,4,5,1,2,3]=>12 [6,4,5,1,3,2]=>8 [6,4,5,2,1,3]=>8 [6,4,5,2,3,1]=>4 [6,4,5,3,1,2]=>4 [6,4,5,3,2,1]=>2 [6,5,1,2,3,4]=>24 [6,5,1,2,4,3]=>18 [6,5,1,3,2,4]=>20 [6,5,1,3,4,2]=>12 [6,5,1,4,2,3]=>12 [6,5,1,4,3,2]=>8 [6,5,2,1,3,4]=>18 [6,5,2,1,4,3]=>14 [6,5,2,3,1,4]=>12 [6,5,2,3,4,1]=>6 [6,5,2,4,1,3]=>8 [6,5,2,4,3,1]=>4 [6,5,3,1,2,4]=>12 [6,5,3,1,4,2]=>8 [6,5,3,2,1,4]=>8 [6,5,3,2,4,1]=>4 [6,5,3,4,1,2]=>4 [6,5,3,4,2,1]=>2 [6,5,4,1,2,3]=>6 [6,5,4,1,3,2]=>4 [6,5,4,2,1,3]=>4 [6,5,4,2,3,1]=>2 [6,5,4,3,1,2]=>2 [6,5,4,3,2,1]=>1