标识符
=>
[1]=>1[1,2]=>1[2,1]=>2[1,2,3]=>1[1,3,2]=>2[2,1,3]=>2[2,3,1]=>4[3,1,2]=>4[3,2,1]=>6[1,2,3,4]=>1[1,2,4,3]=>2[1,3,2,4]=>2[1,3,4,2]=>4[1,4,2,3]=>4[1,4,3,2]=>6[2,1,3,4]=>2[2,1,4,3]=>4[2,3,1,4]=>4[2,3,4,1]=>8[2,4,1,3]=>8[2,4,3,1]=>12[3,1,2,4]=>4[3,1,4,2]=>8[3,2,1,4]=>6[3,2,4,1]=>12[3,4,1,2]=>14[3,4,2,1]=>18[4,1,2,3]=>8[4,1,3,2]=>12[4,2,1,3]=>12[4,2,3,1]=>18[4,3,1,2]=>18[4,3,2,1]=>24[1,2,3,4,5]=>1[1,2,3,5,4]=>2[1,2,4,3,5]=>2[1,2,4,5,3]=>4[1,2,5,3,4]=>4[1,2,5,4,3]=>6[1,3,2,4,5]=>2[1,3,2,5,4]=>4[1,3,4,2,5]=>4[1,3,4,5,2]=>8[1,3,5,2,4]=>8[1,3,5,4,2]=>12[1,4,2,3,5]=>4[1,4,2,5,3]=>8[1,4,3,2,5]=>6[1,4,3,5,2]=>12[1,4,5,2,3]=>14[1,4,5,3,2]=>18[1,5,2,3,4]=>8[1,5,2,4,3]=>12[1,5,3,2,4]=>12[1,5,3,4,2]=>18[1,5,4,2,3]=>18[1,5,4,3,2]=>24[2,1,3,4,5]=>2[2,1,3,5,4]=>4[2,1,4,3,5]=>4[2,1,4,5,3]=>8[2,1,5,3,4]=>8[2,1,5,4,3]=>12[2,3,1,4,5]=>4[2,3,1,5,4]=>8[2,3,4,1,5]=>8[2,3,4,5,1]=>16[2,3,5,1,4]=>16[2,3,5,4,1]=>24[2,4,1,3,5]=>8[2,4,1,5,3]=>16[2,4,3,1,5]=>12[2,4,3,5,1]=>24[2,4,5,1,3]=>28[2,4,5,3,1]=>36[2,5,1,3,4]=>16[2,5,1,4,3]=>24[2,5,3,1,4]=>24[2,5,3,4,1]=>36[2,5,4,1,3]=>36[2,5,4,3,1]=>48[3,1,2,4,5]=>4[3,1,2,5,4]=>8[3,1,4,2,5]=>8[3,1,4,5,2]=>16[3,1,5,2,4]=>16[3,1,5,4,2]=>24[3,2,1,4,5]=>6[3,2,1,5,4]=>12[3,2,4,1,5]=>12[3,2,4,5,1]=>24[3,2,5,1,4]=>24[3,2,5,4,1]=>36[3,4,1,2,5]=>14[3,4,1,5,2]=>28[3,4,2,1,5]=>18[3,4,2,5,1]=>36[3,4,5,1,2]=>46[3,4,5,2,1]=>54[3,5,1,2,4]=>28[3,5,1,4,2]=>42[3,5,2,1,4]=>36[3,5,2,4,1]=>54[3,5,4,1,2]=>60[3,5,4,2,1]=>72[4,1,2,3,5]=>8[4,1,2,5,3]=>16[4,1,3,2,5]=>12[4,1,3,5,2]=>24[4,1,5,2,3]=>28[4,1,5,3,2]=>36[4,2,1,3,5]=>12[4,2,1,5,3]=>24[4,2,3,1,5]=>18[4,2,3,5,1]=>36[4,2,5,1,3]=>42[4,2,5,3,1]=>54[4,3,1,2,5]=>18[4,3,1,5,2]=>36[4,3,2,1,5]=>24[4,3,2,5,1]=>48[4,3,5,1,2]=>60[4,3,5,2,1]=>72[4,5,1,2,3]=>46[4,5,1,3,2]=>60[4,5,2,1,3]=>60[4,5,2,3,1]=>78[4,5,3,1,2]=>78[4,5,3,2,1]=>96[5,1,2,3,4]=>16[5,1,2,4,3]=>24[5,1,3,2,4]=>24[5,1,3,4,2]=>36[5,1,4,2,3]=>36[5,1,4,3,2]=>48[5,2,1,3,4]=>24[5,2,1,4,3]=>36[5,2,3,1,4]=>36[5,2,3,4,1]=>54[5,2,4,1,3]=>54[5,2,4,3,1]=>72[5,3,1,2,4]=>36[5,3,1,4,2]=>54[5,3,2,1,4]=>48[5,3,2,4,1]=>72[5,3,4,1,2]=>78[5,3,4,2,1]=>96[5,4,1,2,3]=>54[5,4,1,3,2]=>72[5,4,2,1,3]=>72[5,4,2,3,1]=>96[5,4,3,1,2]=>96[5,4,3,2,1]=>120[1,2,3,4,5,6]=>1[1,2,3,4,6,5]=>2[1,2,3,5,4,6]=>2[1,2,3,5,6,4]=>4[1,2,3,6,4,5]=>4[1,2,3,6,5,4]=>6[1,2,4,3,5,6]=>2[1,2,4,3,6,5]=>4[1,2,4,5,3,6]=>4[1,2,4,5,6,3]=>8[1,2,4,6,3,5]=>8[1,2,4,6,5,3]=>12[1,2,5,3,4,6]=>4[1,2,5,3,6,4]=>8[1,2,5,4,3,6]=>6[1,2,5,4,6,3]=>12[1,2,5,6,3,4]=>14[1,2,5,6,4,3]=>18[1,2,6,3,4,5]=>8[1,2,6,3,5,4]=>12[1,2,6,4,3,5]=>12[1,2,6,4,5,3]=>18[1,2,6,5,3,4]=>18[1,2,6,5,4,3]=>24[1,3,2,4,5,6]=>2[1,3,2,4,6,5]=>4[1,3,2,5,4,6]=>4[1,3,2,5,6,4]=>8[1,3,2,6,4,5]=>8[1,3,2,6,5,4]=>12[1,3,4,2,5,6]=>4[1,3,4,2,6,5]=>8[1,3,4,5,2,6]=>8[1,3,4,5,6,2]=>16[1,3,4,6,2,5]=>16[1,3,4,6,5,2]=>24[1,3,5,2,4,6]=>8[1,3,5,2,6,4]=>16[1,3,5,4,2,6]=>12[1,3,5,4,6,2]=>24[1,3,5,6,2,4]=>28[1,3,5,6,4,2]=>36[1,3,6,2,4,5]=>16[1,3,6,2,5,4]=>24[1,3,6,4,2,5]=>24[1,3,6,4,5,2]=>36[1,3,6,5,2,4]=>36[1,3,6,5,4,2]=>48[1,4,2,3,5,6]=>4[1,4,2,3,6,5]=>8[1,4,2,5,3,6]=>8[1,4,2,5,6,3]=>16[1,4,2,6,3,5]=>16[1,4,2,6,5,3]=>24[1,4,3,2,5,6]=>6[1,4,3,2,6,5]=>12[1,4,3,5,2,6]=>12[1,4,3,5,6,2]=>24[1,4,3,6,2,5]=>24[1,4,3,6,5,2]=>36[1,4,5,2,3,6]=>14[1,4,5,2,6,3]=>28[1,4,5,3,2,6]=>18[1,4,5,3,6,2]=>36[1,4,5,6,2,3]=>46[1,4,5,6,3,2]=>54[1,4,6,2,3,5]=>28[1,4,6,2,5,3]=>42[1,4,6,3,2,5]=>36[1,4,6,3,5,2]=>54[1,4,6,5,2,3]=>60[1,4,6,5,3,2]=>72[1,5,2,3,4,6]=>8[1,5,2,3,6,4]=>16[1,5,2,4,3,6]=>12[1,5,2,4,6,3]=>24[1,5,2,6,3,4]=>28[1,5,2,6,4,3]=>36[1,5,3,2,4,6]=>12[1,5,3,2,6,4]=>24[1,5,3,4,2,6]=>18[1,5,3,4,6,2]=>36[1,5,3,6,2,4]=>42[1,5,3,6,4,2]=>54[1,5,4,2,3,6]=>18[1,5,4,2,6,3]=>36[1,5,4,3,2,6]=>24[1,5,4,3,6,2]=>48[1,5,4,6,2,3]=>60[1,5,4,6,3,2]=>72[1,5,6,2,3,4]=>46[1,5,6,2,4,3]=>60[1,5,6,3,2,4]=>60[1,5,6,3,4,2]=>78[1,5,6,4,2,3]=>78[1,5,6,4,3,2]=>96[1,6,2,3,4,5]=>16[1,6,2,3,5,4]=>24[1,6,2,4,3,5]=>24[1,6,2,4,5,3]=>36[1,6,2,5,3,4]=>36[1,6,2,5,4,3]=>48[1,6,3,2,4,5]=>24[1,6,3,2,5,4]=>36[1,6,3,4,2,5]=>36[1,6,3,4,5,2]=>54[1,6,3,5,2,4]=>54[1,6,3,5,4,2]=>72[1,6,4,2,3,5]=>36[1,6,4,2,5,3]=>54[1,6,4,3,2,5]=>48[1,6,4,3,5,2]=>72[1,6,4,5,2,3]=>78[1,6,4,5,3,2]=>96[1,6,5,2,3,4]=>54[1,6,5,2,4,3]=>72[1,6,5,3,2,4]=>72[1,6,5,3,4,2]=>96[1,6,5,4,2,3]=>96[1,6,5,4,3,2]=>120[2,1,3,4,5,6]=>2[2,1,3,4,6,5]=>4[2,1,3,5,4,6]=>4[2,1,3,5,6,4]=>8[2,1,3,6,4,5]=>8[2,1,3,6,5,4]=>12[2,1,4,3,5,6]=>4[2,1,4,3,6,5]=>8[2,1,4,5,3,6]=>8[2,1,4,5,6,3]=>16[2,1,4,6,3,5]=>16[2,1,4,6,5,3]=>24[2,1,5,3,4,6]=>8[2,1,5,3,6,4]=>16[2,1,5,4,3,6]=>12[2,1,5,4,6,3]=>24[2,1,5,6,3,4]=>28[2,1,5,6,4,3]=>36[2,1,6,3,4,5]=>16[2,1,6,3,5,4]=>24[2,1,6,4,3,5]=>24[2,1,6,4,5,3]=>36[2,1,6,5,3,4]=>36[2,1,6,5,4,3]=>48[2,3,1,4,5,6]=>4[2,3,1,4,6,5]=>8[2,3,1,5,4,6]=>8[2,3,1,5,6,4]=>16[2,3,1,6,4,5]=>16[2,3,1,6,5,4]=>24[2,3,4,1,5,6]=>8[2,3,4,1,6,5]=>16[2,3,4,5,1,6]=>16[2,3,4,5,6,1]=>32[2,3,4,6,1,5]=>32[2,3,4,6,5,1]=>48[2,3,5,1,4,6]=>16[2,3,5,1,6,4]=>32[2,3,5,4,1,6]=>24[2,3,5,4,6,1]=>48[2,3,5,6,1,4]=>56[2,3,5,6,4,1]=>72[2,3,6,1,4,5]=>32[2,3,6,1,5,4]=>48[2,3,6,4,1,5]=>48[2,3,6,4,5,1]=>72[2,3,6,5,1,4]=>72[2,3,6,5,4,1]=>96[2,4,1,3,5,6]=>8[2,4,1,3,6,5]=>16[2,4,1,5,3,6]=>16[2,4,1,5,6,3]=>32[2,4,1,6,3,5]=>32[2,4,1,6,5,3]=>48[2,4,3,1,5,6]=>12[2,4,3,1,6,5]=>24[2,4,3,5,1,6]=>24[2,4,3,5,6,1]=>48[2,4,3,6,1,5]=>48[2,4,3,6,5,1]=>72[2,4,5,1,3,6]=>28[2,4,5,1,6,3]=>56[2,4,5,3,1,6]=>36[2,4,5,3,6,1]=>72[2,4,5,6,1,3]=>92[2,4,5,6,3,1]=>108[2,4,6,1,3,5]=>56[2,4,6,1,5,3]=>84[2,4,6,3,1,5]=>72[2,4,6,3,5,1]=>108[2,4,6,5,1,3]=>120[2,4,6,5,3,1]=>144[2,5,1,3,4,6]=>16[2,5,1,3,6,4]=>32[2,5,1,4,3,6]=>24[2,5,1,4,6,3]=>48[2,5,1,6,3,4]=>56[2,5,1,6,4,3]=>72[2,5,3,1,4,6]=>24[2,5,3,1,6,4]=>48[2,5,3,4,1,6]=>36[2,5,3,4,6,1]=>72[2,5,3,6,1,4]=>84[2,5,3,6,4,1]=>108[2,5,4,1,3,6]=>36[2,5,4,1,6,3]=>72[2,5,4,3,1,6]=>48[2,5,4,3,6,1]=>96[2,5,4,6,1,3]=>120[2,5,4,6,3,1]=>144[2,5,6,1,3,4]=>92[2,5,6,1,4,3]=>120[2,5,6,3,1,4]=>120[2,5,6,3,4,1]=>156[2,5,6,4,1,3]=>156[2,5,6,4,3,1]=>192[2,6,1,3,4,5]=>32[2,6,1,3,5,4]=>48[2,6,1,4,3,5]=>48[2,6,1,4,5,3]=>72[2,6,1,5,3,4]=>72[2,6,1,5,4,3]=>96[2,6,3,1,4,5]=>48[2,6,3,1,5,4]=>72[2,6,3,4,1,5]=>72[2,6,3,4,5,1]=>108[2,6,3,5,1,4]=>108[2,6,3,5,4,1]=>144[2,6,4,1,3,5]=>72[2,6,4,1,5,3]=>108[2,6,4,3,1,5]=>96[2,6,4,3,5,1]=>144[2,6,4,5,1,3]=>156[2,6,4,5,3,1]=>192[2,6,5,1,3,4]=>108[2,6,5,1,4,3]=>144[2,6,5,3,1,4]=>144[2,6,5,3,4,1]=>192[2,6,5,4,1,3]=>192[2,6,5,4,3,1]=>240[3,1,2,4,5,6]=>4[3,1,2,4,6,5]=>8[3,1,2,5,4,6]=>8[3,1,2,5,6,4]=>16[3,1,2,6,4,5]=>16[3,1,2,6,5,4]=>24[3,1,4,2,5,6]=>8[3,1,4,2,6,5]=>16[3,1,4,5,2,6]=>16[3,1,4,5,6,2]=>32[3,1,4,6,2,5]=>32[3,1,4,6,5,2]=>48[3,1,5,2,4,6]=>16[3,1,5,2,6,4]=>32[3,1,5,4,2,6]=>24[3,1,5,4,6,2]=>48[3,1,5,6,2,4]=>56[3,1,5,6,4,2]=>72[3,1,6,2,4,5]=>32[3,1,6,2,5,4]=>48[3,1,6,4,2,5]=>48[3,1,6,4,5,2]=>72[3,1,6,5,2,4]=>72[3,1,6,5,4,2]=>96[3,2,1,4,5,6]=>6[3,2,1,4,6,5]=>12[3,2,1,5,4,6]=>12[3,2,1,5,6,4]=>24[3,2,1,6,4,5]=>24[3,2,1,6,5,4]=>36[3,2,4,1,5,6]=>12[3,2,4,1,6,5]=>24[3,2,4,5,1,6]=>24[3,2,4,5,6,1]=>48[3,2,4,6,1,5]=>48[3,2,4,6,5,1]=>72[3,2,5,1,4,6]=>24[3,2,5,1,6,4]=>48[3,2,5,4,1,6]=>36[3,2,5,4,6,1]=>72[3,2,5,6,1,4]=>84[3,2,5,6,4,1]=>108[3,2,6,1,4,5]=>48[3,2,6,1,5,4]=>72[3,2,6,4,1,5]=>72[3,2,6,4,5,1]=>108[3,2,6,5,1,4]=>108[3,2,6,5,4,1]=>144[3,4,1,2,5,6]=>14[3,4,1,2,6,5]=>28[3,4,1,5,2,6]=>28[3,4,1,5,6,2]=>56[3,4,1,6,2,5]=>56[3,4,1,6,5,2]=>84[3,4,2,1,5,6]=>18[3,4,2,1,6,5]=>36[3,4,2,5,1,6]=>36[3,4,2,5,6,1]=>72[3,4,2,6,1,5]=>72[3,4,2,6,5,1]=>108[3,4,5,1,2,6]=>46[3,4,5,1,6,2]=>92[3,4,5,2,1,6]=>54[3,4,5,2,6,1]=>108[3,4,5,6,1,2]=>146[3,4,5,6,2,1]=>162[3,4,6,1,2,5]=>92[3,4,6,1,5,2]=>138[3,4,6,2,1,5]=>108[3,4,6,2,5,1]=>162[3,4,6,5,1,2]=>192[3,4,6,5,2,1]=>216[3,5,1,2,4,6]=>28[3,5,1,2,6,4]=>56[3,5,1,4,2,6]=>42[3,5,1,4,6,2]=>84[3,5,1,6,2,4]=>98[3,5,1,6,4,2]=>126[3,5,2,1,4,6]=>36[3,5,2,1,6,4]=>72[3,5,2,4,1,6]=>54[3,5,2,4,6,1]=>108[3,5,2,6,1,4]=>126[3,5,2,6,4,1]=>162[3,5,4,1,2,6]=>60[3,5,4,1,6,2]=>120[3,5,4,2,1,6]=>72[3,5,4,2,6,1]=>144[3,5,4,6,1,2]=>192[3,5,4,6,2,1]=>216[3,5,6,1,2,4]=>152[3,5,6,1,4,2]=>198[3,5,6,2,1,4]=>180[3,5,6,2,4,1]=>234[3,5,6,4,1,2]=>252[3,5,6,4,2,1]=>288[3,6,1,2,4,5]=>56[3,6,1,2,5,4]=>84[3,6,1,4,2,5]=>84[3,6,1,4,5,2]=>126[3,6,1,5,2,4]=>126[3,6,1,5,4,2]=>168[3,6,2,1,4,5]=>72[3,6,2,1,5,4]=>108[3,6,2,4,1,5]=>108[3,6,2,4,5,1]=>162[3,6,2,5,1,4]=>162[3,6,2,5,4,1]=>216[3,6,4,1,2,5]=>120[3,6,4,1,5,2]=>180[3,6,4,2,1,5]=>144[3,6,4,2,5,1]=>216[3,6,4,5,1,2]=>252[3,6,4,5,2,1]=>288[3,6,5,1,2,4]=>180[3,6,5,1,4,2]=>240[3,6,5,2,1,4]=>216[3,6,5,2,4,1]=>288[3,6,5,4,1,2]=>312[3,6,5,4,2,1]=>360[4,1,2,3,5,6]=>8[4,1,2,3,6,5]=>16[4,1,2,5,3,6]=>16[4,1,2,5,6,3]=>32[4,1,2,6,3,5]=>32[4,1,2,6,5,3]=>48[4,1,3,2,5,6]=>12[4,1,3,2,6,5]=>24[4,1,3,5,2,6]=>24[4,1,3,5,6,2]=>48[4,1,3,6,2,5]=>48[4,1,3,6,5,2]=>72[4,1,5,2,3,6]=>28[4,1,5,2,6,3]=>56[4,1,5,3,2,6]=>36[4,1,5,3,6,2]=>72[4,1,5,6,2,3]=>92[4,1,5,6,3,2]=>108[4,1,6,2,3,5]=>56[4,1,6,2,5,3]=>84[4,1,6,3,2,5]=>72[4,1,6,3,5,2]=>108[4,1,6,5,2,3]=>120[4,1,6,5,3,2]=>144[4,2,1,3,5,6]=>12[4,2,1,3,6,5]=>24[4,2,1,5,3,6]=>24[4,2,1,5,6,3]=>48[4,2,1,6,3,5]=>48[4,2,1,6,5,3]=>72[4,2,3,1,5,6]=>18[4,2,3,1,6,5]=>36[4,2,3,5,1,6]=>36[4,2,3,5,6,1]=>72[4,2,3,6,1,5]=>72[4,2,3,6,5,1]=>108[4,2,5,1,3,6]=>42[4,2,5,1,6,3]=>84[4,2,5,3,1,6]=>54[4,2,5,3,6,1]=>108[4,2,5,6,1,3]=>138[4,2,5,6,3,1]=>162[4,2,6,1,3,5]=>84[4,2,6,1,5,3]=>126[4,2,6,3,1,5]=>108[4,2,6,3,5,1]=>162[4,2,6,5,1,3]=>180[4,2,6,5,3,1]=>216[4,3,1,2,5,6]=>18[4,3,1,2,6,5]=>36[4,3,1,5,2,6]=>36[4,3,1,5,6,2]=>72[4,3,1,6,2,5]=>72[4,3,1,6,5,2]=>108[4,3,2,1,5,6]=>24[4,3,2,1,6,5]=>48[4,3,2,5,1,6]=>48[4,3,2,5,6,1]=>96[4,3,2,6,1,5]=>96[4,3,2,6,5,1]=>144[4,3,5,1,2,6]=>60[4,3,5,1,6,2]=>120[4,3,5,2,1,6]=>72[4,3,5,2,6,1]=>144[4,3,5,6,1,2]=>192[4,3,5,6,2,1]=>216[4,3,6,1,2,5]=>120[4,3,6,1,5,2]=>180[4,3,6,2,1,5]=>144[4,3,6,2,5,1]=>216[4,3,6,5,1,2]=>252[4,3,6,5,2,1]=>288[4,5,1,2,3,6]=>46[4,5,1,2,6,3]=>92[4,5,1,3,2,6]=>60[4,5,1,3,6,2]=>120[4,5,1,6,2,3]=>152[4,5,1,6,3,2]=>180[4,5,2,1,3,6]=>60[4,5,2,1,6,3]=>120[4,5,2,3,1,6]=>78[4,5,2,3,6,1]=>156[4,5,2,6,1,3]=>198[4,5,2,6,3,1]=>234[4,5,3,1,2,6]=>78[4,5,3,1,6,2]=>156[4,5,3,2,1,6]=>96[4,5,3,2,6,1]=>192[4,5,3,6,1,2]=>252[4,5,3,6,2,1]=>288[4,5,6,1,2,3]=>230[4,5,6,1,3,2]=>276[4,5,6,2,1,3]=>276[4,5,6,2,3,1]=>330[4,5,6,3,1,2]=>330[4,5,6,3,2,1]=>384[4,6,1,2,3,5]=>92[4,6,1,2,5,3]=>138[4,6,1,3,5,2]=>180[4,6,1,5,2,3]=>198[4,6,1,5,3,2]=>240[4,6,2,1,3,5]=>120[4,6,2,1,5,3]=>180[4,6,2,3,1,5]=>156[4,6,2,3,5,1]=>234[4,6,2,5,1,3]=>258[4,6,2,5,3,1]=>312[4,6,3,1,2,5]=>156[4,6,3,1,5,2]=>234[4,6,3,2,1,5]=>192[4,6,3,2,5,1]=>288[4,6,3,5,1,2]=>330[4,6,3,5,2,1]=>384[4,6,5,1,2,3]=>276[4,6,5,1,3,2]=>336[4,6,5,2,1,3]=>336[4,6,5,2,3,1]=>408[4,6,5,3,1,2]=>408[4,6,5,3,2,1]=>480[5,1,2,3,4,6]=>16[5,1,2,3,6,4]=>32[5,1,2,4,3,6]=>24[5,1,2,4,6,3]=>48[5,1,2,6,3,4]=>56[5,1,2,6,4,3]=>72[5,1,3,2,4,6]=>24[5,1,3,2,6,4]=>48[5,1,3,4,2,6]=>36[5,1,3,4,6,2]=>72[5,1,3,6,2,4]=>84[5,1,3,6,4,2]=>108[5,1,4,2,3,6]=>36[5,1,4,2,6,3]=>72[5,1,4,3,2,6]=>48[5,1,4,6,2,3]=>120[5,1,4,6,3,2]=>144[5,1,6,2,3,4]=>92[5,1,6,2,4,3]=>120[5,1,6,3,2,4]=>120[5,1,6,3,4,2]=>156[5,1,6,4,2,3]=>156[5,1,6,4,3,2]=>192[5,2,1,3,4,6]=>24[5,2,1,3,6,4]=>48[5,2,1,4,3,6]=>36[5,2,1,4,6,3]=>72[5,2,1,6,3,4]=>84[5,2,1,6,4,3]=>108[5,2,3,1,4,6]=>36[5,2,3,1,6,4]=>72[5,2,3,4,1,6]=>54[5,2,3,4,6,1]=>108[5,2,3,6,1,4]=>126[5,2,3,6,4,1]=>162[5,2,4,1,3,6]=>54[5,2,4,1,6,3]=>108[5,2,4,3,1,6]=>72[5,2,4,3,6,1]=>144[5,2,4,6,1,3]=>180[5,2,4,6,3,1]=>216[5,2,6,1,3,4]=>138[5,2,6,1,4,3]=>180[5,2,6,3,1,4]=>180[5,2,6,3,4,1]=>234[5,2,6,4,1,3]=>234[5,2,6,4,3,1]=>288[5,3,1,2,4,6]=>36[5,3,1,2,6,4]=>72[5,3,1,4,2,6]=>54[5,3,1,4,6,2]=>108[5,3,1,6,2,4]=>126[5,3,1,6,4,2]=>162[5,3,2,1,4,6]=>48[5,3,2,1,6,4]=>96[5,3,2,4,1,6]=>72[5,3,2,4,6,1]=>144[5,3,2,6,1,4]=>168[5,3,2,6,4,1]=>216[5,3,4,1,2,6]=>78[5,3,4,1,6,2]=>156[5,3,4,2,1,6]=>96[5,3,4,2,6,1]=>192[5,3,4,6,1,2]=>252[5,3,4,6,2,1]=>288[5,3,6,1,2,4]=>198[5,3,6,1,4,2]=>258[5,3,6,2,1,4]=>240[5,3,6,2,4,1]=>312[5,3,6,4,1,2]=>330[5,3,6,4,2,1]=>384[5,4,1,2,3,6]=>54[5,4,1,2,6,3]=>108[5,4,1,3,2,6]=>72[5,4,1,3,6,2]=>144[5,4,1,6,2,3]=>180[5,4,1,6,3,2]=>216[5,4,2,1,3,6]=>72[5,4,2,1,6,3]=>144[5,4,2,3,1,6]=>96[5,4,2,3,6,1]=>192[5,4,2,6,1,3]=>240[5,4,2,6,3,1]=>288[5,4,3,1,2,6]=>96[5,4,3,1,6,2]=>192[5,4,3,2,1,6]=>120[5,4,3,2,6,1]=>240[5,4,3,6,1,2]=>312[5,4,3,6,2,1]=>360[5,4,6,1,2,3]=>276[5,4,6,1,3,2]=>336[5,4,6,2,1,3]=>336[5,4,6,2,3,1]=>408[5,4,6,3,1,2]=>408[5,4,6,3,2,1]=>480[5,6,1,2,3,4]=>146[5,6,1,2,4,3]=>192[5,6,1,3,2,4]=>192[5,6,1,3,4,2]=>252[5,6,1,4,2,3]=>252[5,6,1,4,3,2]=>312[5,6,2,1,3,4]=>192[5,6,2,1,4,3]=>252[5,6,2,3,1,4]=>252[5,6,2,3,4,1]=>330[5,6,2,4,1,3]=>330[5,6,2,4,3,1]=>408[5,6,3,1,2,4]=>252[5,6,3,1,4,2]=>330[5,6,3,2,1,4]=>312[5,6,3,2,4,1]=>408[5,6,3,4,1,2]=>426[5,6,3,4,2,1]=>504[5,6,4,1,2,3]=>330[5,6,4,1,3,2]=>408[5,6,4,2,1,3]=>408[5,6,4,2,3,1]=>504[5,6,4,3,1,2]=>504[5,6,4,3,2,1]=>600[6,1,2,3,4,5]=>32[6,1,2,3,5,4]=>48[6,1,2,4,3,5]=>48[6,1,2,4,5,3]=>72[6,1,2,5,3,4]=>72[6,1,2,5,4,3]=>96[6,1,3,2,4,5]=>48[6,1,3,2,5,4]=>72[6,1,3,4,2,5]=>72[6,1,3,4,5,2]=>108[6,1,3,5,2,4]=>108[6,1,3,5,4,2]=>144[6,1,4,2,3,5]=>72[6,1,4,2,5,3]=>108[6,1,4,3,2,5]=>96[6,1,4,3,5,2]=>144[6,1,4,5,2,3]=>156[6,1,4,5,3,2]=>192[6,1,5,2,3,4]=>108[6,1,5,2,4,3]=>144[6,1,5,3,2,4]=>144[6,1,5,3,4,2]=>192[6,1,5,4,2,3]=>192[6,1,5,4,3,2]=>240[6,2,1,3,4,5]=>48[6,2,1,3,5,4]=>72[6,2,1,4,3,5]=>72[6,2,1,4,5,3]=>108[6,2,1,5,3,4]=>108[6,2,1,5,4,3]=>144[6,2,3,1,4,5]=>72[6,2,3,1,5,4]=>108[6,2,3,4,1,5]=>108[6,2,3,4,5,1]=>162[6,2,3,5,1,4]=>162[6,2,3,5,4,1]=>216[6,2,4,1,3,5]=>108[6,2,4,1,5,3]=>162[6,2,4,3,1,5]=>144[6,2,4,3,5,1]=>216[6,2,4,5,1,3]=>234[6,2,4,5,3,1]=>288[6,2,5,1,3,4]=>162[6,2,5,1,4,3]=>216[6,2,5,3,1,4]=>216[6,2,5,3,4,1]=>288[6,2,5,4,1,3]=>288[6,2,5,4,3,1]=>360[6,3,1,2,4,5]=>72[6,3,1,2,5,4]=>108[6,3,1,4,2,5]=>108[6,3,1,4,5,2]=>162[6,3,1,5,2,4]=>162[6,3,1,5,4,2]=>216[6,3,2,1,4,5]=>96[6,3,2,1,5,4]=>144[6,3,2,4,1,5]=>144[6,3,2,4,5,1]=>216[6,3,2,5,1,4]=>216[6,3,2,5,4,1]=>288[6,3,4,1,2,5]=>156[6,3,4,1,5,2]=>234[6,3,4,2,1,5]=>192[6,3,4,2,5,1]=>288[6,3,4,5,1,2]=>330[6,3,4,5,2,1]=>384[6,3,5,1,2,4]=>234[6,3,5,1,4,2]=>312[6,3,5,2,1,4]=>288[6,3,5,2,4,1]=>384[6,3,5,4,1,2]=>408[6,3,5,4,2,1]=>480[6,4,1,2,3,5]=>108[6,4,1,2,5,3]=>162[6,4,1,3,2,5]=>144[6,4,1,3,5,2]=>216[6,4,1,5,2,3]=>234[6,4,1,5,3,2]=>288[6,4,2,1,3,5]=>144[6,4,2,1,5,3]=>216[6,4,2,3,1,5]=>192[6,4,2,3,5,1]=>288[6,4,2,5,1,3]=>312[6,4,2,5,3,1]=>384[6,4,3,1,2,5]=>192[6,4,3,1,5,2]=>288[6,4,3,2,1,5]=>240[6,4,3,2,5,1]=>360[6,4,3,5,1,2]=>408[6,4,3,5,2,1]=>480[6,4,5,1,2,3]=>330[6,4,5,1,3,2]=>408[6,4,5,2,1,3]=>408[6,4,5,2,3,1]=>504[6,4,5,3,1,2]=>504[6,4,5,3,2,1]=>600[6,5,1,2,3,4]=>162[6,5,1,2,4,3]=>216[6,5,1,3,2,4]=>216[6,5,1,3,4,2]=>288[6,5,1,4,2,3]=>288[6,5,1,4,3,2]=>360[6,5,2,1,3,4]=>216[6,5,2,1,4,3]=>288[6,5,2,3,1,4]=>288[6,5,2,3,4,1]=>384[6,5,2,4,1,3]=>384[6,5,2,4,3,1]=>480[6,5,3,1,2,4]=>288[6,5,3,1,4,2]=>384[6,5,3,2,1,4]=>360[6,5,3,2,4,1]=>480[6,5,3,4,1,2]=>504[6,5,3,4,2,1]=>600[6,5,4,1,2,3]=>384[6,5,4,1,3,2]=>480[6,5,4,2,1,3]=>480[6,5,4,2,3,1]=>600[6,5,4,3,1,2]=>600[6,5,4,3,2,1]=>720[1,2,3,4,5,6,7]=>1[1,2,3,4,5,7,6]=>2[1,2,3,4,6,5,7]=>2[1,2,3,4,6,7,5]=>4[1,2,3,4,7,5,6]=>4[1,2,3,4,7,6,5]=>6[1,2,3,5,4,6,7]=>2[1,2,3,5,4,7,6]=>4[1,2,3,5,6,4,7]=>4[1,2,3,5,6,7,4]=>8[1,2,3,5,7,4,6]=>8[1,2,3,5,7,6,4]=>12[1,2,3,6,4,5,7]=>4[1,2,3,6,4,7,5]=>8[1,2,3,6,7,4,5]=>14[1,2,3,6,7,5,4]=>18[1,2,3,7,4,5,6]=>8[1,2,3,7,4,6,5]=>12[1,2,3,7,5,4,6]=>12[1,2,3,7,5,6,4]=>18[1,2,3,7,6,4,5]=>18[1,2,3,7,6,5,4]=>24[1,2,4,3,5,6,7]=>2[1,2,4,3,5,7,6]=>4[1,2,4,3,6,5,7]=>4[1,2,4,3,6,7,5]=>8[1,2,4,3,7,5,6]=>8[1,2,4,3,7,6,5]=>12[1,2,4,5,3,6,7]=>4[1,2,4,5,3,7,6]=>8[1,2,4,5,6,3,7]=>8[1,2,4,5,6,7,3]=>16[1,2,4,5,7,3,6]=>16[1,2,4,5,7,6,3]=>24[1,2,4,6,3,5,7]=>8[1,2,4,6,3,7,5]=>16[1,2,4,6,7,3,5]=>28[1,2,4,6,7,5,3]=>36[1,2,4,7,3,5,6]=>16[1,2,4,7,5,6,3]=>36[1,2,4,7,6,5,3]=>48[1,2,5,3,4,6,7]=>4[1,2,5,3,4,7,6]=>8[1,2,5,3,6,4,7]=>8[1,2,5,3,6,7,4]=>16[1,2,5,3,7,4,6]=>16[1,2,5,4,3,7,6]=>12[1,2,5,4,6,7,3]=>24[1,2,5,6,3,4,7]=>14[1,2,5,6,3,7,4]=>28[1,2,5,6,7,3,4]=>46[1,2,5,6,7,4,3]=>54[1,2,5,7,3,4,6]=>28[1,2,5,7,3,6,4]=>42[1,2,5,7,4,3,6]=>36[1,2,5,7,6,3,4]=>60[1,2,5,7,6,4,3]=>72[1,2,6,3,4,5,7]=>8[1,2,6,3,4,7,5]=>16[1,2,6,3,5,7,4]=>24[1,2,6,3,7,4,5]=>28[1,2,6,3,7,5,4]=>36[1,2,6,4,3,7,5]=>24[1,2,6,4,7,3,5]=>42[1,2,6,5,3,7,4]=>36[1,2,6,5,4,7,3]=>48[1,2,6,5,7,3,4]=>60[1,2,6,7,3,4,5]=>46[1,2,6,7,4,3,5]=>60[1,2,6,7,4,5,3]=>78[1,2,6,7,5,3,4]=>78[1,2,6,7,5,4,3]=>96[1,2,7,3,4,5,6]=>16[1,2,7,3,4,6,5]=>24[1,2,7,3,5,4,6]=>24[1,2,7,3,5,6,4]=>36[1,2,7,3,6,5,4]=>48[1,2,7,4,3,5,6]=>24[1,2,7,4,3,6,5]=>36[1,2,7,4,5,3,6]=>36[1,2,7,4,5,6,3]=>54[1,2,7,5,3,4,6]=>36[1,2,7,5,6,3,4]=>78[1,2,7,5,6,4,3]=>96[1,2,7,6,3,4,5]=>54[1,2,7,6,3,5,4]=>72[1,2,7,6,4,3,5]=>72[1,2,7,6,4,5,3]=>96[1,2,7,6,5,3,4]=>96[1,2,7,6,5,4,3]=>120[1,3,2,4,5,6,7]=>2[1,3,2,4,5,7,6]=>4[1,3,2,4,6,5,7]=>4[1,3,2,4,6,7,5]=>8[1,3,2,4,7,5,6]=>8[1,3,2,4,7,6,5]=>12[1,3,2,5,4,6,7]=>4[1,3,2,5,4,7,6]=>8[1,3,2,5,6,4,7]=>8[1,3,2,5,6,7,4]=>16[1,3,2,5,7,4,6]=>16[1,3,2,6,4,5,7]=>8[1,3,2,6,4,7,5]=>16[1,3,2,6,7,4,5]=>28[1,3,2,7,4,5,6]=>16[1,3,4,2,5,6,7]=>4[1,3,4,2,5,7,6]=>8[1,3,4,2,6,5,7]=>8[1,3,4,2,6,7,5]=>16[1,3,4,2,7,5,6]=>16[1,3,4,2,7,6,5]=>24[1,3,4,5,2,6,7]=>8[1,3,4,5,2,7,6]=>16[1,3,4,5,6,2,7]=>16[1,3,4,5,6,7,2]=>32[1,3,4,5,7,2,6]=>32[1,3,4,5,7,6,2]=>48[1,3,4,6,2,5,7]=>16[1,3,4,6,2,7,5]=>32[1,3,4,6,7,2,5]=>56[1,3,4,6,7,5,2]=>72[1,3,4,7,2,5,6]=>32[1,3,4,7,2,6,5]=>48[1,3,4,7,5,6,2]=>72[1,3,4,7,6,5,2]=>96[1,3,5,2,4,6,7]=>8[1,3,5,2,4,7,6]=>16[1,3,5,2,6,4,7]=>16[1,3,5,2,6,7,4]=>32[1,3,5,2,7,4,6]=>32[1,3,5,2,7,6,4]=>48[1,3,5,6,2,4,7]=>28[1,3,5,6,2,7,4]=>56[1,3,5,6,7,2,4]=>92[1,3,5,6,7,4,2]=>108[1,3,5,7,2,4,6]=>56[1,3,5,7,2,6,4]=>84[1,3,5,7,6,4,2]=>144[1,3,6,2,4,5,7]=>16[1,3,6,2,4,7,5]=>32[1,3,6,2,5,7,4]=>48[1,3,6,2,7,4,5]=>56[1,3,6,4,2,7,5]=>48[1,3,6,4,5,7,2]=>72[1,3,6,7,2,4,5]=>92[1,3,6,7,2,5,4]=>120[1,3,6,7,4,5,2]=>156[1,3,6,7,5,4,2]=>192[1,3,7,2,4,5,6]=>32[1,3,7,2,6,5,4]=>96[1,3,7,4,2,6,5]=>72[1,3,7,4,5,6,2]=>108[1,3,7,5,2,4,6]=>72[1,3,7,5,2,6,4]=>108[1,3,7,5,6,4,2]=>192[1,3,7,6,2,5,4]=>144[1,3,7,6,4,5,2]=>192[1,3,7,6,5,4,2]=>240[1,4,2,3,5,6,7]=>4[1,4,2,3,5,7,6]=>8[1,4,2,3,6,5,7]=>8[1,4,2,3,6,7,5]=>16[1,4,2,3,7,5,6]=>16[1,4,2,3,7,6,5]=>24[1,4,2,5,3,6,7]=>8[1,4,2,5,3,7,6]=>16[1,4,2,5,6,3,7]=>16[1,4,2,5,6,7,3]=>32[1,4,2,5,7,3,6]=>32[1,4,2,5,7,6,3]=>48[1,4,2,6,3,5,7]=>16[1,4,2,6,3,7,5]=>32[1,4,2,6,7,3,5]=>56[1,4,2,7,3,5,6]=>32[1,4,2,7,3,6,5]=>48[1,4,2,7,6,3,5]=>72[1,4,2,7,6,5,3]=>96[1,4,3,2,7,6,5]=>36[1,4,3,5,6,7,2]=>48[1,4,5,2,3,6,7]=>14[1,4,5,2,3,7,6]=>28[1,4,5,2,6,3,7]=>28[1,4,5,2,6,7,3]=>56[1,4,5,2,7,3,6]=>56[1,4,5,2,7,6,3]=>84[1,4,5,3,7,6,2]=>108[1,4,5,6,2,3,7]=>46[1,4,5,6,2,7,3]=>92[1,4,5,6,7,2,3]=>146[1,4,5,6,7,3,2]=>162[1,4,5,7,2,3,6]=>92[1,4,5,7,2,6,3]=>138[1,4,5,7,6,2,3]=>192[1,4,5,7,6,3,2]=>216[1,4,6,2,3,5,7]=>28[1,4,6,2,3,7,5]=>56[1,4,6,2,7,3,5]=>98[1,4,6,2,7,5,3]=>126[1,4,6,7,2,3,5]=>152[1,4,6,7,5,2,3]=>252[1,4,6,7,5,3,2]=>288[1,4,7,2,3,5,6]=>56[1,4,7,2,3,6,5]=>84[1,4,7,2,5,6,3]=>126[1,4,7,2,6,5,3]=>168[1,4,7,3,2,6,5]=>108[1,4,7,3,5,2,6]=>108[1,4,7,3,6,5,2]=>216[1,4,7,5,6,2,3]=>252[1,4,7,5,6,3,2]=>288[1,4,7,6,2,5,3]=>240[1,4,7,6,5,2,3]=>312[1,4,7,6,5,3,2]=>360[1,5,2,3,4,6,7]=>8[1,5,2,3,4,7,6]=>16[1,5,2,3,6,4,7]=>16[1,5,2,3,6,7,4]=>32[1,5,2,3,7,4,6]=>32[1,5,2,3,7,6,4]=>48[1,5,2,4,6,7,3]=>48[1,5,2,4,7,6,3]=>72[1,5,2,6,3,4,7]=>28[1,5,2,6,3,7,4]=>56[1,5,2,6,7,3,4]=>92[1,5,2,6,7,4,3]=>108[1,5,2,7,3,4,6]=>56[1,5,2,7,3,6,4]=>84[1,5,2,7,4,6,3]=>108[1,5,2,7,6,4,3]=>144[1,5,3,2,4,7,6]=>24[1,5,3,2,6,7,4]=>48[1,5,3,2,7,6,4]=>72[1,5,3,4,2,7,6]=>36[1,5,3,4,6,7,2]=>72[1,5,3,4,7,6,2]=>108[1,5,3,6,7,2,4]=>138[1,5,3,7,2,4,6]=>84[1,5,3,7,2,6,4]=>126[1,5,3,7,4,6,2]=>162[1,5,3,7,6,4,2]=>216[1,5,4,2,7,6,3]=>108[1,5,4,3,2,7,6]=>48[1,5,4,3,7,6,2]=>144[1,5,4,7,2,6,3]=>180[1,5,4,7,6,3,2]=>288[1,5,6,2,3,4,7]=>46[1,5,6,2,3,7,4]=>92[1,5,6,2,4,7,3]=>120[1,5,6,2,7,3,4]=>152[1,5,6,3,2,7,4]=>120[1,5,6,3,4,7,2]=>156[1,5,6,3,7,2,4]=>198[1,5,6,4,7,2,3]=>252[1,5,6,4,7,3,2]=>288[1,5,6,7,2,3,4]=>230[1,5,6,7,2,4,3]=>276[1,5,6,7,3,2,4]=>276[1,5,6,7,3,4,2]=>330[1,5,6,7,4,2,3]=>330[1,5,6,7,4,3,2]=>384[1,5,7,2,3,4,6]=>92[1,5,7,2,6,4,3]=>240[1,5,7,3,2,6,4]=>180[1,5,7,3,4,6,2]=>234[1,5,7,3,6,4,2]=>312[1,5,7,4,2,6,3]=>234[1,5,7,4,6,2,3]=>330[1,5,7,6,2,3,4]=>276[1,5,7,6,2,4,3]=>336[1,5,7,6,3,2,4]=>336[1,5,7,6,3,4,2]=>408[1,5,7,6,4,2,3]=>408[1,5,7,6,4,3,2]=>480[1,6,2,3,4,5,7]=>16[1,6,2,3,4,7,5]=>32[1,6,2,3,5,7,4]=>48[1,6,2,3,7,4,5]=>56[1,6,2,3,7,5,4]=>72[1,6,2,4,7,5,3]=>108[1,6,2,7,3,4,5]=>92[1,6,2,7,5,4,3]=>192[1,6,3,2,4,7,5]=>48[1,6,3,2,5,7,4]=>72[1,6,3,2,7,4,5]=>84[1,6,3,2,7,5,4]=>108[1,6,3,4,2,7,5]=>72[1,6,3,4,5,7,2]=>108[1,6,3,4,7,2,5]=>126[1,6,3,5,2,7,4]=>108[1,6,3,7,2,4,5]=>138[1,6,3,7,2,5,4]=>180[1,6,3,7,4,2,5]=>180[1,6,3,7,4,5,2]=>234[1,6,3,7,5,2,4]=>234[1,6,4,2,3,7,5]=>72[1,6,5,4,3,7,2]=>240[1,6,5,4,7,3,2]=>360[1,6,5,7,4,3,2]=>480[1,6,7,2,3,4,5]=>146[1,6,7,3,2,4,5]=>192[1,6,7,3,4,2,5]=>252[1,6,7,3,4,5,2]=>330[1,6,7,3,5,2,4]=>330[1,6,7,4,2,3,5]=>252[1,6,7,4,3,2,5]=>312[1,6,7,4,5,2,3]=>426[1,6,7,4,5,3,2]=>504[1,6,7,5,2,3,4]=>330[1,6,7,5,3,2,4]=>408[1,6,7,5,3,4,2]=>504[1,6,7,5,4,2,3]=>504[1,6,7,5,4,3,2]=>600[1,7,2,3,4,5,6]=>32[1,7,2,3,4,6,5]=>48[1,7,2,3,6,5,4]=>96[1,7,2,4,5,6,3]=>108[1,7,2,5,6,3,4]=>156[1,7,3,2,4,5,6]=>48[1,7,3,2,4,6,5]=>72[1,7,3,2,5,6,4]=>108[1,7,3,2,6,4,5]=>108[1,7,3,4,2,5,6]=>72[1,7,3,4,2,6,5]=>108[1,7,3,4,5,2,6]=>108[1,7,3,4,5,6,2]=>162[1,7,3,5,2,4,6]=>108[1,7,3,5,6,4,2]=>288[1,7,3,6,2,5,4]=>216[1,7,3,6,5,4,2]=>360[1,7,4,2,3,5,6]=>72[1,7,4,2,3,6,5]=>108[1,7,4,2,6,3,5]=>162[1,7,4,2,6,5,3]=>216[1,7,4,3,2,6,5]=>144[1,7,4,3,6,5,2]=>288[1,7,4,5,2,3,6]=>156[1,7,4,5,2,6,3]=>234[1,7,4,5,3,6,2]=>288[1,7,4,5,6,2,3]=>330[1,7,4,5,6,3,2]=>384[1,7,4,6,2,5,3]=>312[1,7,4,6,5,3,2]=>480[1,7,5,2,3,4,6]=>108[1,7,5,2,4,6,3]=>216[1,7,5,3,2,4,6]=>144[1,7,5,3,2,6,4]=>216[1,7,5,4,3,6,2]=>360[1,7,5,4,6,3,2]=>480[1,7,5,6,2,3,4]=>330[1,7,5,6,3,2,4]=>408[1,7,5,6,3,4,2]=>504[1,7,5,6,4,2,3]=>504[1,7,5,6,4,3,2]=>600[1,7,6,2,3,4,5]=>162[1,7,6,2,5,4,3]=>360[1,7,6,3,2,4,5]=>216[1,7,6,3,2,5,4]=>288[1,7,6,3,4,2,5]=>288[1,7,6,3,4,5,2]=>384[1,7,6,3,5,4,2]=>480[1,7,6,4,2,3,5]=>288[1,7,6,4,5,2,3]=>504[1,7,6,4,5,3,2]=>600[1,7,6,5,2,3,4]=>384[1,7,6,5,2,4,3]=>480[1,7,6,5,3,2,4]=>480[1,7,6,5,3,4,2]=>600[1,7,6,5,4,2,3]=>600[1,7,6,5,4,3,2]=>720[2,1,3,4,5,6,7]=>2[2,1,3,4,5,7,6]=>4[2,1,3,4,6,7,5]=>8[2,1,3,4,7,5,6]=>8[2,1,3,5,4,6,7]=>4[2,1,3,5,7,6,4]=>24[2,1,3,6,4,7,5]=>16[2,1,3,6,7,4,5]=>28[2,1,3,7,4,5,6]=>16[2,1,3,7,5,4,6]=>24[2,1,3,7,6,4,5]=>36[2,1,3,7,6,5,4]=>48[2,1,4,3,6,5,7]=>8[2,1,4,5,6,3,7]=>16[2,1,4,7,3,5,6]=>32[2,1,4,7,3,6,5]=>48[2,1,4,7,5,3,6]=>48[2,1,4,7,5,6,3]=>72[2,1,4,7,6,5,3]=>96[2,1,5,3,4,7,6]=>16[2,1,5,6,4,3,7]=>36[2,1,5,6,7,3,4]=>92[2,1,6,3,4,5,7]=>16[2,1,6,3,4,7,5]=>32[2,1,6,3,7,4,5]=>56[2,1,6,4,5,3,7]=>36[2,1,6,5,3,4,7]=>36[2,1,6,5,4,3,7]=>48[2,1,6,5,7,3,4]=>120[2,1,6,7,3,4,5]=>92[2,1,6,7,4,3,5]=>120[2,1,6,7,5,3,4]=>156[2,1,7,3,4,5,6]=>32[2,1,7,3,4,6,5]=>48[2,1,7,3,5,4,6]=>48[2,1,7,3,6,4,5]=>72[2,1,7,3,6,5,4]=>96[2,1,7,5,3,4,6]=>72[2,1,7,6,3,5,4]=>144[2,1,7,6,5,3,4]=>192[2,1,7,6,5,4,3]=>240[2,3,1,4,5,6,7]=>4[2,3,1,4,5,7,6]=>8[2,3,1,4,7,6,5]=>24[2,3,1,5,7,4,6]=>32[2,3,1,6,4,7,5]=>32[2,3,1,7,4,5,6]=>32[2,3,1,7,4,6,5]=>48[2,3,1,7,5,6,4]=>72[2,3,4,1,5,6,7]=>8[2,3,4,1,5,7,6]=>16[2,3,4,1,7,6,5]=>48[2,3,4,5,1,6,7]=>16[2,3,4,5,1,7,6]=>32[2,3,4,5,6,1,7]=>32[2,3,4,5,6,7,1]=>64[2,3,4,5,7,1,6]=>64[2,3,4,5,7,6,1]=>96[2,3,4,6,1,7,5]=>64[2,3,4,6,5,7,1]=>96[2,3,4,6,7,1,5]=>112[2,3,4,6,7,5,1]=>144[2,3,4,7,1,5,6]=>64[2,3,4,7,1,6,5]=>96[2,3,4,7,5,6,1]=>144[2,3,4,7,6,1,5]=>144[2,3,4,7,6,5,1]=>192[2,3,5,1,6,7,4]=>64[2,3,5,1,7,4,6]=>64[2,3,5,1,7,6,4]=>96[2,3,5,4,6,7,1]=>96[2,3,5,4,7,6,1]=>144[2,3,5,6,1,7,4]=>112[2,3,5,6,4,7,1]=>144[2,3,5,6,7,1,4]=>184[2,3,5,6,7,4,1]=>216[2,3,5,7,1,4,6]=>112[2,3,5,7,1,6,4]=>168[2,3,5,7,4,1,6]=>144[2,3,5,7,6,1,4]=>240[2,3,5,7,6,4,1]=>288[2,3,6,1,4,7,5]=>64[2,3,6,1,7,4,5]=>112[2,3,6,1,7,5,4]=>144[2,3,6,4,5,7,1]=>144[2,3,6,4,7,5,1]=>216[2,3,6,5,1,7,4]=>144[2,3,6,5,4,7,1]=>192[2,3,6,5,7,1,4]=>240[2,3,6,5,7,4,1]=>288[2,3,6,7,1,4,5]=>184[2,3,6,7,4,5,1]=>312[2,3,6,7,5,1,4]=>312[2,3,6,7,5,4,1]=>384[2,3,7,1,4,5,6]=>64[2,3,7,1,4,6,5]=>96[2,3,7,1,5,4,6]=>96[2,3,7,1,5,6,4]=>144[2,3,7,1,6,4,5]=>144[2,3,7,4,5,6,1]=>216[2,3,7,4,6,1,5]=>216[2,3,7,4,6,5,1]=>288[2,3,7,5,1,4,6]=>144[2,3,7,5,4,1,6]=>192[2,3,7,5,4,6,1]=>288[2,3,7,5,6,1,4]=>312[2,3,7,5,6,4,1]=>384[2,3,7,6,1,4,5]=>216[2,3,7,6,5,1,4]=>384[2,3,7,6,5,4,1]=>480[2,4,1,3,5,6,7]=>8[2,4,1,3,7,5,6]=>32[2,4,1,3,7,6,5]=>48[2,4,1,5,3,7,6]=>32[2,4,1,5,6,7,3]=>64[2,4,1,5,7,3,6]=>64[2,4,1,6,3,7,5]=>64[2,4,1,6,7,3,5]=>112[2,4,1,6,7,5,3]=>144[2,4,1,7,3,5,6]=>64[2,4,1,7,3,6,5]=>96[2,4,1,7,6,3,5]=>144[2,4,3,1,7,6,5]=>72[2,4,3,5,6,7,1]=>96[2,4,3,5,7,6,1]=>144[2,4,3,6,5,7,1]=>144[2,4,3,6,7,1,5]=>168[2,4,3,6,7,5,1]=>216[2,4,3,7,5,6,1]=>216[2,4,3,7,6,5,1]=>288[2,4,5,1,6,7,3]=>112[2,4,5,1,7,3,6]=>112[2,4,5,1,7,6,3]=>168[2,4,5,3,6,7,1]=>144[2,4,5,3,7,1,6]=>144[2,4,5,3,7,6,1]=>216[2,4,5,6,1,7,3]=>184[2,4,5,6,3,7,1]=>216[2,4,5,6,7,1,3]=>292[2,4,5,6,7,3,1]=>324[2,4,5,7,1,3,6]=>184[2,4,5,7,3,1,6]=>216[2,4,5,7,6,1,3]=>384[2,4,5,7,6,3,1]=>432[2,4,6,1,3,7,5]=>112[2,4,6,1,5,7,3]=>168[2,4,6,1,7,3,5]=>196[2,4,6,3,1,7,5]=>144[2,4,6,3,7,5,1]=>324[2,4,6,5,3,7,1]=>288[2,4,6,5,7,3,1]=>432[2,4,6,7,1,3,5]=>304[2,4,6,7,1,5,3]=>396[2,4,6,7,3,5,1]=>468[2,4,6,7,5,3,1]=>576[2,4,7,1,3,5,6]=>112[2,4,7,1,5,3,6]=>168[2,4,7,1,5,6,3]=>252[2,4,7,1,6,3,5]=>252[2,4,7,3,1,5,6]=>144[2,4,7,3,6,1,5]=>324[2,4,7,6,5,1,3]=>624[2,4,7,6,5,3,1]=>720[2,5,1,3,4,6,7]=>16[2,5,1,3,6,7,4]=>64[2,5,1,3,7,4,6]=>64[2,5,1,3,7,6,4]=>96[2,5,1,4,7,6,3]=>144[2,5,1,6,3,7,4]=>112[2,5,1,6,4,7,3]=>144[2,5,1,6,7,3,4]=>184[2,5,1,6,7,4,3]=>216[2,5,1,7,3,4,6]=>112[2,5,1,7,3,6,4]=>168[2,5,1,7,4,3,6]=>144[2,5,1,7,6,3,4]=>240[2,5,1,7,6,4,3]=>288[2,5,3,1,7,4,6]=>96[2,5,3,1,7,6,4]=>144[2,5,3,4,6,7,1]=>144[2,5,3,4,7,6,1]=>216[2,5,3,6,4,7,1]=>216[2,5,3,6,7,1,4]=>276[2,5,3,6,7,4,1]=>324[2,5,3,7,6,1,4]=>360[2,5,4,1,6,7,3]=>144[2,5,4,1,7,3,6]=>144[2,5,4,3,6,7,1]=>192[2,5,4,3,7,1,6]=>192[2,5,4,3,7,6,1]=>288[2,5,4,6,3,7,1]=>288[2,5,4,6,7,1,3]=>384[2,5,4,6,7,3,1]=>432[2,5,4,7,1,3,6]=>240[2,5,4,7,6,1,3]=>504[2,5,4,7,6,3,1]=>576[2,5,6,1,3,7,4]=>184[2,5,6,1,4,7,3]=>240[2,5,6,1,7,3,4]=>304[2,5,6,3,4,7,1]=>312[2,5,6,3,7,4,1]=>468[2,5,6,4,3,7,1]=>384[2,5,6,4,7,1,3]=>504[2,5,6,4,7,3,1]=>576[2,5,6,7,1,3,4]=>460[2,5,6,7,3,1,4]=>552[2,5,6,7,4,3,1]=>768[2,5,7,1,3,4,6]=>184[2,5,7,1,4,6,3]=>360[2,5,7,3,1,4,6]=>240[2,5,7,3,4,1,6]=>312[2,5,7,3,6,1,4]=>516[2,5,7,6,4,1,3]=>816[2,5,7,6,4,3,1]=>960[2,6,1,3,4,5,7]=>32[2,6,1,3,4,7,5]=>64[2,6,1,3,7,4,5]=>112[2,6,1,3,7,5,4]=>144[2,6,1,5,3,7,4]=>144[2,6,1,5,7,4,3]=>288[2,6,1,7,3,4,5]=>184[2,6,1,7,4,5,3]=>312[2,6,3,1,7,4,5]=>168[2,6,3,4,5,7,1]=>216[2,6,3,5,4,7,1]=>288[2,6,3,5,7,1,4]=>360[2,6,3,7,1,4,5]=>276[2,6,3,7,4,1,5]=>360[2,6,3,7,4,5,1]=>468[2,6,4,1,3,7,5]=>144[2,6,4,1,7,3,5]=>252[2,6,4,3,5,7,1]=>288[2,6,4,5,1,7,3]=>312[2,6,4,5,3,7,1]=>384[2,6,4,5,7,3,1]=>576[2,6,4,7,3,5,1]=>624[2,6,4,7,5,3,1]=>768[2,6,5,1,3,7,4]=>216[2,6,5,1,7,3,4]=>360[2,6,5,4,3,1,7]=>240[2,6,5,4,3,7,1]=>480[2,6,5,4,7,3,1]=>720[2,6,5,7,1,3,4]=>552[2,6,5,7,4,3,1]=>960[2,6,7,1,3,4,5]=>292[2,6,7,1,4,5,3]=>504[2,6,7,1,5,3,4]=>504[2,6,7,3,4,5,1]=>660[2,6,7,4,3,1,5]=>624[2,6,7,4,3,5,1]=>816[2,6,7,5,4,3,1]=>1200[2,7,1,3,4,5,6]=>64[2,7,1,3,4,6,5]=>96[2,7,1,3,6,4,5]=>144[2,7,1,4,5,3,6]=>144[2,7,1,5,3,4,6]=>144[2,7,1,5,4,3,6]=>192[2,7,1,5,6,3,4]=>312[2,7,1,6,3,4,5]=>216[2,7,1,6,5,4,3]=>480[2,7,3,1,4,6,5]=>144[2,7,3,4,1,5,6]=>144[2,7,3,4,1,6,5]=>216[2,7,3,4,5,6,1]=>324[2,7,3,4,6,1,5]=>324[2,7,3,4,6,5,1]=>432[2,7,3,5,4,6,1]=>432[2,7,3,5,6,4,1]=>576[2,7,3,6,1,4,5]=>324[2,7,3,6,5,1,4]=>576[2,7,3,6,5,4,1]=>720[2,7,4,1,3,5,6]=>144[2,7,4,1,5,3,6]=>216[2,7,4,1,6,3,5]=>324[2,7,4,3,5,1,6]=>288[2,7,4,3,5,6,1]=>432[2,7,4,3,6,1,5]=>432[2,7,4,3,6,5,1]=>576[2,7,4,5,1,3,6]=>312[2,7,4,5,3,1,6]=>384[2,7,4,5,3,6,1]=>576[2,7,4,5,6,1,3]=>660[2,7,4,5,6,3,1]=>768[2,7,4,6,1,3,5]=>468[2,7,4,6,5,1,3]=>816[2,7,4,6,5,3,1]=>960[2,7,5,1,3,4,6]=>216[2,7,5,1,6,3,4]=>468[2,7,5,3,4,1,6]=>384[2,7,5,4,3,6,1]=>720[2,7,5,4,6,3,1]=>960[2,7,6,1,3,4,5]=>324[2,7,6,1,4,3,5]=>432[2,7,6,1,5,4,3]=>720[2,7,6,3,1,4,5]=>432[2,7,6,3,5,1,4]=>768[2,7,6,4,5,3,1]=>1200[2,7,6,5,1,3,4]=>768[2,7,6,5,1,4,3]=>960[2,7,6,5,4,1,3]=>1200[2,7,6,5,4,3,1]=>1440[3,1,2,4,5,6,7]=>4[3,1,2,4,5,7,6]=>8[3,1,2,4,6,7,5]=>16[3,1,2,4,7,5,6]=>16[3,1,2,6,4,5,7]=>16[3,1,2,6,4,7,5]=>32[3,1,2,6,7,4,5]=>56[3,1,2,7,4,5,6]=>32[3,1,2,7,6,4,5]=>72[3,1,2,7,6,5,4]=>96[3,1,4,2,5,7,6]=>16[3,1,4,2,6,7,5]=>32[3,1,4,5,2,7,6]=>32[3,1,4,5,6,7,2]=>64[3,1,4,5,7,2,6]=>64[3,1,4,6,2,7,5]=>64[3,1,4,6,7,2,5]=>112[3,1,4,6,7,5,2]=>144[3,1,4,7,2,5,6]=>64[3,1,4,7,2,6,5]=>96[3,1,4,7,5,6,2]=>144[3,1,4,7,6,2,5]=>144[3,1,5,2,4,6,7]=>16[3,1,5,2,4,7,6]=>32[3,1,5,2,6,7,4]=>64[3,1,5,2,7,4,6]=>64[3,1,5,4,6,7,2]=>96[3,1,5,6,2,4,7]=>56[3,1,5,6,2,7,4]=>112[3,1,5,6,4,7,2]=>144[3,1,5,6,7,2,4]=>184[3,1,5,6,7,4,2]=>216[3,1,5,7,2,4,6]=>112[3,1,5,7,4,2,6]=>144[3,1,5,7,6,2,4]=>240[3,1,6,2,4,5,7]=>32[3,1,6,2,4,7,5]=>64[3,1,6,2,5,7,4]=>96[3,1,6,2,7,4,5]=>112[3,1,6,2,7,5,4]=>144[3,1,6,4,2,7,5]=>96[3,1,6,4,5,7,2]=>144[3,1,6,5,2,7,4]=>144[3,1,6,5,4,7,2]=>192[3,1,6,7,2,4,5]=>184[3,1,6,7,2,5,4]=>240[3,1,6,7,4,5,2]=>312[3,1,7,2,4,5,6]=>64[3,1,7,2,4,6,5]=>96[3,1,7,2,5,6,4]=>144[3,1,7,2,6,4,5]=>144[3,1,7,4,2,6,5]=>144[3,1,7,4,5,6,2]=>216[3,1,7,5,2,4,6]=>144[3,1,7,5,2,6,4]=>216[3,1,7,5,6,2,4]=>312[3,1,7,6,2,4,5]=>216[3,1,7,6,2,5,4]=>288[3,1,7,6,5,4,2]=>480[3,2,1,4,5,6,7]=>6[3,2,1,5,4,6,7]=>12[3,2,4,1,5,6,7]=>12[3,2,4,5,1,6,7]=>24[3,2,4,5,6,1,7]=>48[3,2,4,5,6,7,1]=>96[3,2,4,5,7,6,1]=>144[3,2,4,6,1,7,5]=>96[3,2,4,6,5,7,1]=>144[3,2,4,6,7,1,5]=>168[3,2,4,6,7,5,1]=>216[3,2,4,7,1,5,6]=>96[3,2,4,7,5,6,1]=>216[3,2,4,7,6,5,1]=>288[3,2,5,1,6,7,4]=>96[3,2,5,4,6,7,1]=>144[3,2,5,4,7,6,1]=>216[3,2,5,6,1,7,4]=>168[3,2,5,6,4,7,1]=>216[3,2,5,6,7,1,4]=>276[3,2,5,6,7,4,1]=>324[3,2,5,7,1,6,4]=>252[3,2,5,7,6,4,1]=>432[3,2,6,1,4,5,7]=>48[3,2,6,1,7,4,5]=>168[3,2,6,4,5,7,1]=>216[3,2,6,5,1,4,7]=>108[3,2,6,5,1,7,4]=>216[3,2,6,5,4,1,7]=>144[3,2,6,5,4,7,1]=>288[3,2,6,5,7,1,4]=>360[3,2,6,5,7,4,1]=>432[3,2,6,7,1,5,4]=>360[3,2,6,7,4,1,5]=>360[3,2,6,7,5,4,1]=>576[3,2,7,4,5,6,1]=>324[3,2,7,4,6,5,1]=>432[3,2,7,5,4,6,1]=>432[3,2,7,5,6,1,4]=>468[3,2,7,5,6,4,1]=>576[3,2,7,6,5,1,4]=>576[3,2,7,6,5,4,1]=>720[3,4,1,2,5,6,7]=>14[3,4,1,2,5,7,6]=>28[3,4,1,2,6,7,5]=>56[3,4,1,2,7,5,6]=>56[3,4,1,5,2,7,6]=>56[3,4,1,5,6,7,2]=>112[3,4,1,5,7,2,6]=>112[3,4,1,6,2,5,7]=>56[3,4,1,6,2,7,5]=>112[3,4,1,6,5,7,2]=>168[3,4,1,6,7,2,5]=>196[3,4,1,7,2,5,6]=>112[3,4,1,7,2,6,5]=>168[3,4,1,7,5,6,2]=>252[3,4,1,7,6,2,5]=>252[3,4,2,1,5,6,7]=>18[3,4,2,5,1,6,7]=>36[3,4,2,5,6,1,7]=>72[3,4,2,5,6,7,1]=>144[3,4,2,5,7,1,6]=>144[3,4,2,5,7,6,1]=>216[3,4,2,6,1,7,5]=>144[3,4,2,6,5,7,1]=>216[3,4,2,6,7,5,1]=>324[3,4,2,7,1,5,6]=>144[3,4,2,7,6,5,1]=>432[3,4,5,1,2,6,7]=>46[3,4,5,1,2,7,6]=>92[3,4,5,1,6,7,2]=>184[3,4,5,1,7,2,6]=>184[3,4,5,1,7,6,2]=>276[3,4,5,2,1,6,7]=>54[3,4,5,2,6,1,7]=>108[3,4,5,2,6,7,1]=>216[3,4,5,2,7,1,6]=>216[3,4,5,2,7,6,1]=>324[3,4,5,6,1,2,7]=>146[3,4,5,6,1,7,2]=>292[3,4,5,6,2,1,7]=>162[3,4,5,6,2,7,1]=>324[3,4,5,6,7,1,2]=>454[3,4,5,6,7,2,1]=>486[3,4,5,7,1,2,6]=>292[3,4,5,7,1,6,2]=>438[3,4,5,7,2,1,6]=>324[3,4,5,7,6,2,1]=>648[3,4,6,1,2,5,7]=>92[3,4,6,1,2,7,5]=>184[3,4,6,1,5,2,7]=>138[3,4,6,1,7,2,5]=>322[3,4,6,1,7,5,2]=>414[3,4,6,2,1,5,7]=>108[3,4,6,2,1,7,5]=>216[3,4,6,2,7,1,5]=>378[3,4,6,2,7,5,1]=>486[3,4,6,5,2,7,1]=>432[3,4,6,5,7,1,2]=>600[3,4,6,5,7,2,1]=>648[3,4,6,7,1,2,5]=>484[3,4,6,7,1,5,2]=>630[3,4,6,7,2,1,5]=>540[3,4,6,7,2,5,1]=>702[3,4,6,7,5,1,2]=>792[3,4,6,7,5,2,1]=>864[3,4,7,1,2,5,6]=>184[3,4,7,1,2,6,5]=>276[3,4,7,1,5,6,2]=>414[3,4,7,2,1,5,6]=>216[3,4,7,2,1,6,5]=>324[3,4,7,2,5,1,6]=>324[3,4,7,6,1,5,2]=>768[3,4,7,6,2,1,5]=>648[3,4,7,6,5,2,1]=>1080[3,5,1,2,4,6,7]=>28[3,5,1,2,6,7,4]=>112[3,5,1,2,7,4,6]=>112[3,5,1,2,7,6,4]=>168[3,5,1,4,2,6,7]=>42[3,5,1,4,6,7,2]=>168[3,5,1,4,7,2,6]=>168[3,5,1,4,7,6,2]=>252[3,5,1,6,2,4,7]=>98[3,5,1,6,2,7,4]=>196[3,5,1,6,4,7,2]=>252[3,5,1,6,7,2,4]=>322[3,5,1,6,7,4,2]=>378[3,5,1,7,2,4,6]=>196[3,5,1,7,2,6,4]=>294[3,5,1,7,4,6,2]=>378[3,5,2,1,4,6,7]=>36[3,5,2,1,4,7,6]=>72[3,5,2,1,6,7,4]=>144[3,5,2,1,7,4,6]=>144[3,5,2,6,1,4,7]=>126[3,5,2,6,1,7,4]=>252[3,5,2,6,4,7,1]=>324[3,5,2,6,7,1,4]=>414[3,5,2,6,7,4,1]=>486[3,5,2,7,1,6,4]=>378[3,5,2,7,4,1,6]=>324[3,5,4,1,7,2,6]=>240[3,5,4,2,6,7,1]=>288[3,5,4,2,7,6,1]=>432[3,5,4,6,1,7,2]=>384[3,5,4,6,2,7,1]=>432[3,5,4,6,7,2,1]=>648[3,5,4,7,1,6,2]=>576[3,5,4,7,2,1,6]=>432[3,5,4,7,6,2,1]=>864[3,5,6,1,2,4,7]=>152[3,5,6,1,2,7,4]=>304[3,5,6,1,4,2,7]=>198[3,5,6,1,7,2,4]=>502[3,5,6,2,4,7,1]=>468[3,5,6,2,7,1,4]=>594[3,5,6,2,7,4,1]=>702[3,5,6,4,1,2,7]=>252[3,5,6,4,2,1,7]=>288[3,5,6,4,2,7,1]=>576[3,5,6,4,7,1,2]=>792[3,5,6,4,7,2,1]=>864[3,5,6,7,1,2,4]=>736[3,5,6,7,2,1,4]=>828[3,5,6,7,4,1,2]=>1044[3,5,6,7,4,2,1]=>1152[3,5,7,1,2,4,6]=>304[3,5,7,1,4,6,2]=>594[3,5,7,2,1,4,6]=>360[3,5,7,2,4,1,6]=>468[3,5,7,2,6,1,4]=>774[3,5,7,4,1,6,2]=>756[3,5,7,4,2,1,6]=>576[3,5,7,6,1,4,2]=>1080[3,5,7,6,2,1,4]=>1008[3,5,7,6,4,2,1]=>1440[3,6,1,2,4,5,7]=>56[3,6,1,2,4,7,5]=>112[3,6,1,2,7,4,5]=>196[3,6,1,4,5,2,7]=>126[3,6,1,4,5,7,2]=>252[3,6,1,4,7,2,5]=>294[3,6,1,4,7,5,2]=>378[3,6,1,5,7,4,2]=>504[3,6,1,7,2,4,5]=>322[3,6,1,7,2,5,4]=>420[3,6,1,7,5,4,2]=>672[3,6,2,1,4,7,5]=>144[3,6,2,1,5,4,7]=>108[3,6,2,1,7,5,4]=>324[3,6,2,4,1,5,7]=>108[3,6,2,4,1,7,5]=>216[3,6,2,4,7,1,5]=>378[3,6,2,7,1,5,4]=>540[3,6,2,7,4,5,1]=>702[3,6,2,7,5,1,4]=>702[3,6,4,7,1,5,2]=>828[3,6,4,7,2,5,1]=>936[3,6,5,2,1,7,4]=>432[3,6,5,2,7,1,4]=>720[3,6,5,4,2,1,7]=>360[3,6,5,4,2,7,1]=>720[3,6,5,4,7,2,1]=>1080[3,6,5,7,4,2,1]=>1440[3,6,7,1,2,4,5]=>484[3,6,7,1,4,2,5]=>636[3,6,7,1,5,4,2]=>1032[3,6,7,2,1,5,4]=>756[3,6,7,2,4,5,1]=>990[3,6,7,2,5,4,1]=>1224[3,6,7,4,1,5,2]=>1068[3,6,7,4,5,1,2]=>1356[3,6,7,5,4,2,1]=>1800[3,7,1,2,4,5,6]=>112[3,7,1,2,6,4,5]=>252[3,7,1,4,2,5,6]=>168[3,7,1,4,5,6,2]=>378[3,7,1,5,2,6,4]=>378[3,7,1,5,4,6,2]=>504[3,7,2,1,4,5,6]=>144[3,7,2,1,5,6,4]=>324[3,7,2,4,1,6,5]=>324[3,7,2,4,5,1,6]=>324[3,7,2,5,1,4,6]=>324[3,7,2,5,4,1,6]=>432[3,7,2,6,4,1,5]=>648[3,7,4,1,2,6,5]=>360[3,7,4,6,1,5,2]=>1008[3,7,4,6,2,1,5]=>864[3,7,5,1,4,2,6]=>480[3,7,5,1,6,2,4]=>780[3,7,5,2,4,1,6]=>576[3,7,5,6,2,1,4]=>1224[3,7,6,1,4,5,2]=>960[3,7,6,2,1,4,5]=>648[3,7,6,2,4,1,5]=>864[3,7,6,5,1,4,2]=>1560[3,7,6,5,2,1,4]=>1440[3,7,6,5,4,2,1]=>2160[4,1,2,3,5,6,7]=>8[4,1,2,3,5,7,6]=>16[4,1,2,3,7,5,6]=>32[4,1,2,5,3,7,6]=>32[4,1,2,5,6,7,3]=>64[4,1,2,5,7,3,6]=>64[4,1,2,5,7,6,3]=>96[4,1,2,6,3,5,7]=>32[4,1,2,6,3,7,5]=>64[4,1,2,6,5,7,3]=>96[4,1,2,6,7,3,5]=>112[4,1,2,6,7,5,3]=>144[4,1,2,7,3,5,6]=>64[4,1,2,7,3,6,5]=>96[4,1,2,7,6,3,5]=>144[4,1,3,2,5,6,7]=>12[4,1,3,2,7,6,5]=>72[4,1,3,6,2,7,5]=>96[4,1,3,7,2,6,5]=>144[4,1,5,2,3,6,7]=>28[4,1,5,2,3,7,6]=>56[4,1,5,2,6,7,3]=>112[4,1,5,2,7,3,6]=>112[4,1,5,2,7,6,3]=>168[4,1,5,3,2,7,6]=>72[4,1,5,3,6,7,2]=>144[4,1,5,3,7,2,6]=>144[4,1,5,6,2,3,7]=>92[4,1,5,6,2,7,3]=>184[4,1,5,6,3,7,2]=>216[4,1,5,6,7,2,3]=>292[4,1,5,6,7,3,2]=>324[4,1,5,7,2,3,6]=>184[4,1,5,7,2,6,3]=>276[4,1,5,7,3,2,6]=>216[4,1,5,7,3,6,2]=>324[4,1,6,2,3,5,7]=>56[4,1,6,2,3,7,5]=>112[4,1,6,2,5,7,3]=>168[4,1,6,2,7,3,5]=>196[4,1,6,2,7,5,3]=>252[4,1,6,3,2,7,5]=>144[4,1,6,3,7,5,2]=>324[4,1,6,5,7,3,2]=>432[4,1,6,7,2,3,5]=>304[4,1,6,7,3,5,2]=>468[4,1,6,7,5,3,2]=>576[4,1,7,2,3,5,6]=>112[4,1,7,2,3,6,5]=>168[4,1,7,3,2,5,6]=>144[4,1,7,3,5,6,2]=>324[4,1,7,6,5,3,2]=>720[4,2,1,3,5,6,7]=>12[4,2,1,3,6,7,5]=>48[4,2,1,3,7,5,6]=>48[4,2,1,5,3,7,6]=>48[4,2,1,5,6,3,7]=>48[4,2,1,5,6,7,3]=>96[4,2,1,5,7,3,6]=>96[4,2,1,6,7,3,5]=>168[4,2,1,7,3,6,5]=>144[4,2,1,7,5,6,3]=>216[4,2,3,1,5,6,7]=>18[4,2,3,5,1,6,7]=>36[4,2,3,5,6,1,7]=>72[4,2,3,5,6,7,1]=>144[4,2,3,5,7,1,6]=>144[4,2,3,5,7,6,1]=>216[4,2,3,6,1,7,5]=>144[4,2,3,6,5,7,1]=>216[4,2,3,6,7,1,5]=>252[4,2,3,7,5,6,1]=>324[4,2,3,7,6,1,5]=>324[4,2,3,7,6,5,1]=>432[4,2,5,1,3,6,7]=>42[4,2,5,1,3,7,6]=>84[4,2,5,1,6,7,3]=>168[4,2,5,1,7,3,6]=>168[4,2,5,1,7,6,3]=>252[4,2,5,3,6,7,1]=>216[4,2,5,6,1,3,7]=>138[4,2,5,6,1,7,3]=>276[4,2,5,6,3,7,1]=>324[4,2,5,6,7,1,3]=>438[4,2,5,7,1,6,3]=>414[4,2,5,7,3,1,6]=>324[4,2,6,1,5,3,7]=>126[4,2,6,1,5,7,3]=>252[4,2,6,1,7,3,5]=>294[4,2,6,1,7,5,3]=>378[4,2,6,3,1,5,7]=>108[4,2,6,3,1,7,5]=>216[4,2,6,3,7,1,5]=>378[4,2,6,5,1,3,7]=>180[4,2,6,5,7,1,3]=>576[4,2,6,7,1,5,3]=>594[4,2,6,7,5,1,3]=>756[4,2,7,1,3,5,6]=>168[4,2,7,1,5,6,3]=>378[4,2,7,3,1,5,6]=>216[4,2,7,3,1,6,5]=>324[4,2,7,3,5,1,6]=>324[4,2,7,5,3,1,6]=>432[4,2,7,5,6,3,1]=>864[4,2,7,6,3,1,5]=>648[4,2,7,6,5,3,1]=>1080[4,3,1,2,5,6,7]=>18[4,3,1,2,7,5,6]=>72[4,3,1,5,6,7,2]=>144[4,3,1,5,7,2,6]=>144[4,3,1,6,2,7,5]=>144[4,3,1,6,7,2,5]=>252[4,3,1,7,2,5,6]=>144[4,3,1,7,6,2,5]=>324[4,3,1,7,6,5,2]=>432[4,3,2,1,5,6,7]=>24[4,3,2,1,5,7,6]=>48[4,3,2,5,1,6,7]=>48[4,3,2,5,1,7,6]=>96[4,3,2,5,6,1,7]=>96[4,3,2,5,6,7,1]=>192[4,3,2,5,7,6,1]=>288[4,3,2,6,5,7,1]=>288[4,3,2,6,7,5,1]=>432[4,3,2,7,5,6,1]=>432[4,3,2,7,6,5,1]=>576[4,3,5,1,2,6,7]=>60[4,3,5,1,2,7,6]=>120[4,3,5,1,6,7,2]=>240[4,3,5,2,1,6,7]=>72[4,3,5,2,6,1,7]=>144[4,3,5,2,6,7,1]=>288[4,3,5,2,7,6,1]=>432[4,3,5,6,1,2,7]=>192[4,3,5,6,2,1,7]=>216[4,3,5,6,2,7,1]=>432[4,3,5,6,7,2,1]=>648[4,3,5,7,6,1,2]=>792[4,3,5,7,6,2,1]=>864[4,3,6,1,5,7,2]=>360[4,3,6,2,1,7,5]=>288[4,3,6,2,5,1,7]=>216[4,3,6,2,7,1,5]=>504[4,3,6,5,1,7,2]=>504[4,3,6,5,2,1,7]=>288[4,3,6,5,2,7,1]=>576[4,3,6,5,7,2,1]=>864[4,3,6,7,1,5,2]=>828[4,3,6,7,5,2,1]=>1152[4,3,7,5,6,2,1]=>1152[4,3,7,6,1,2,5]=>756[4,3,7,6,5,2,1]=>1440[4,5,1,2,3,6,7]=>46[4,5,1,2,3,7,6]=>92[4,5,1,2,6,7,3]=>184[4,5,1,2,7,3,6]=>184[4,5,1,2,7,6,3]=>276[4,5,1,3,2,6,7]=>60[4,5,1,3,6,7,2]=>240[4,5,1,3,7,2,6]=>240[4,5,1,3,7,6,2]=>360[4,5,1,6,2,3,7]=>152[4,5,1,6,2,7,3]=>304[4,5,1,6,7,2,3]=>484[4,5,1,7,2,3,6]=>304[4,5,2,1,3,6,7]=>60[4,5,2,1,6,7,3]=>240[4,5,2,3,1,6,7]=>78[4,5,2,3,6,1,7]=>156[4,5,2,3,6,7,1]=>312[4,5,2,3,7,1,6]=>312[4,5,2,6,3,7,1]=>468[4,5,2,6,7,1,3]=>630[4,5,2,6,7,3,1]=>702[4,5,2,7,1,3,6]=>396[4,5,2,7,1,6,3]=>594[4,5,2,7,3,1,6]=>468[4,5,2,7,6,1,3]=>828[4,5,3,1,2,6,7]=>78[4,5,3,2,1,6,7]=>96[4,5,3,2,6,1,7]=>192[4,5,3,2,6,7,1]=>384[4,5,3,2,7,6,1]=>576[4,5,3,6,1,2,7]=>252[4,5,3,6,2,1,7]=>288[4,5,3,6,2,7,1]=>576[4,5,3,6,7,1,2]=>792[4,5,3,6,7,2,1]=>864[4,5,3,7,1,6,2]=>756[4,5,3,7,2,1,6]=>576[4,5,3,7,6,2,1]=>1152[4,5,6,1,2,3,7]=>230[4,5,6,1,2,7,3]=>460[4,5,6,1,3,7,2]=>552[4,5,6,1,7,2,3]=>736[4,5,6,1,7,3,2]=>828[4,5,6,2,1,3,7]=>276[4,5,6,2,1,7,3]=>552[4,5,6,2,3,1,7]=>330[4,5,6,2,3,7,1]=>660[4,5,6,3,1,2,7]=>330[4,5,6,3,1,7,2]=>660[4,5,6,3,2,1,7]=>384[4,5,6,3,2,7,1]=>768[4,5,6,3,7,1,2]=>1044[4,5,6,3,7,2,1]=>1152[4,5,6,7,1,2,3]=>1066[4,5,6,7,1,3,2]=>1212[4,5,6,7,2,1,3]=>1212[4,5,6,7,3,1,2]=>1374[4,5,6,7,3,2,1]=>1536[4,5,7,1,2,3,6]=>460[4,5,7,1,2,6,3]=>690[4,5,7,1,6,3,2]=>1104[4,5,7,2,1,6,3]=>828[4,5,7,2,6,1,3]=>1158[4,5,7,3,1,6,2]=>990[4,5,7,3,2,1,6]=>768[4,5,7,3,6,2,1]=>1536[4,5,7,6,2,1,3]=>1488[4,5,7,6,3,2,1]=>1920[4,6,1,2,3,5,7]=>92[4,6,1,2,3,7,5]=>184[4,6,1,2,7,3,5]=>322[4,6,1,3,5,2,7]=>180[4,6,1,3,5,7,2]=>360[4,6,1,3,7,2,5]=>420[4,6,1,5,7,2,3]=>636[4,6,1,7,2,3,5]=>502[4,6,2,1,7,5,3]=>540[4,6,2,3,1,7,5]=>312[4,6,2,3,7,1,5]=>546[4,6,2,3,7,5,1]=>702[4,6,2,7,1,3,5]=>654[4,6,2,7,1,5,3]=>852[4,6,2,7,3,5,1]=>1014[4,6,2,7,5,1,3]=>1086[4,6,2,7,5,3,1]=>1248[4,6,3,1,5,2,7]=>234[4,6,3,1,7,5,2]=>702[4,6,3,2,1,5,7]=>192[4,6,3,2,7,1,5]=>672[4,6,3,7,1,5,2]=>1086[4,6,3,7,2,5,1]=>1248[4,6,3,7,5,1,2]=>1374[4,6,3,7,5,2,1]=>1536[4,6,5,2,7,1,3]=>1080[4,6,5,2,7,3,1]=>1224[4,6,5,3,2,1,7]=>480[4,6,5,3,2,7,1]=>960[4,6,5,3,7,2,1]=>1440[4,6,5,7,1,2,3]=>1296[4,6,5,7,3,2,1]=>1920[4,6,7,1,2,3,5]=>736[4,6,7,1,5,2,3]=>1242[4,6,7,3,1,5,2]=>1398[4,6,7,3,2,5,1]=>1632[4,6,7,3,5,1,2]=>1782[4,6,7,3,5,2,1]=>2016[4,6,7,5,2,1,3]=>1824[4,6,7,5,3,2,1]=>2400[4,7,1,2,3,5,6]=>184[4,7,1,2,5,6,3]=>414[4,7,1,2,6,3,5]=>414[4,7,1,3,5,6,2]=>540[4,7,1,5,6,3,2]=>960[4,7,2,1,3,5,6]=>240[4,7,2,1,5,3,6]=>360[4,7,2,1,5,6,3]=>540[4,7,2,1,6,3,5]=>540[4,7,2,3,1,5,6]=>312[4,7,2,5,1,3,6]=>516[4,7,2,5,6,1,3]=>1086[4,7,2,6,1,3,5]=>774[4,7,3,1,5,6,2]=>702[4,7,3,1,6,2,5]=>702[4,7,3,2,1,6,5]=>576[4,7,3,2,5,1,6]=>576[4,7,3,5,1,6,2]=>990[4,7,3,5,2,1,6]=>768[4,7,3,6,2,1,5]=>1152[4,7,5,6,3,2,1]=>2400[4,7,6,1,2,5,3]=>1104[4,7,6,1,5,3,2]=>1680[4,7,6,2,1,3,5]=>1008[4,7,6,2,5,1,3]=>1752[4,7,6,3,1,5,2]=>1632[4,7,6,3,2,1,5]=>1440[4,7,6,5,3,2,1]=>2880[5,1,2,3,4,6,7]=>16[5,1,2,3,4,7,6]=>32[5,1,2,3,6,4,7]=>32[5,1,2,3,6,7,4]=>64[5,1,2,3,7,4,6]=>64[5,1,2,6,3,4,7]=>56[5,1,2,6,3,7,4]=>112[5,1,2,6,4,7,3]=>144[5,1,2,6,7,3,4]=>184[5,1,2,6,7,4,3]=>216[5,1,2,7,3,4,6]=>112[5,1,2,7,3,6,4]=>168[5,1,2,7,4,3,6]=>144[5,1,3,4,2,6,7]=>36[5,1,3,4,7,6,2]=>216[5,1,3,6,4,7,2]=>216[5,1,3,6,7,4,2]=>324[5,1,3,7,2,4,6]=>168[5,1,3,7,2,6,4]=>252[5,1,3,7,4,6,2]=>324[5,1,4,2,6,7,3]=>144[5,1,4,2,7,3,6]=>144[5,1,4,2,7,6,3]=>216[5,1,4,6,2,7,3]=>240[5,1,6,2,3,4,7]=>92[5,1,6,2,3,7,4]=>184[5,1,6,2,7,3,4]=>304[5,1,6,3,2,7,4]=>240[5,1,6,3,4,7,2]=>312[5,1,6,3,7,4,2]=>468[5,1,6,4,7,3,2]=>576[5,1,6,7,2,3,4]=>460[5,1,6,7,4,3,2]=>768[5,1,7,2,3,4,6]=>184[5,1,7,3,4,2,6]=>312[5,1,7,4,2,6,3]=>468[5,1,7,4,3,6,2]=>576[5,1,7,6,4,3,2]=>960[5,2,1,3,4,6,7]=>24[5,2,1,3,7,4,6]=>96[5,2,1,4,3,6,7]=>36[5,2,1,6,3,7,4]=>168[5,2,1,6,4,3,7]=>108[5,2,1,6,7,3,4]=>276[5,2,1,6,7,4,3]=>324[5,2,1,7,4,6,3]=>324[5,2,3,1,4,6,7]=>36[5,2,3,1,4,7,6]=>72[5,2,3,1,6,7,4]=>144[5,2,3,1,7,4,6]=>144[5,2,3,4,1,6,7]=>54[5,2,3,4,6,1,7]=>108[5,2,3,4,6,7,1]=>216[5,2,3,4,7,1,6]=>216[5,2,3,4,7,6,1]=>324[5,2,3,6,1,4,7]=>126[5,2,3,6,1,7,4]=>252[5,2,3,6,7,1,4]=>414[5,2,3,7,1,4,6]=>252[5,2,3,7,1,6,4]=>378[5,2,3,7,4,1,6]=>324[5,2,3,7,6,4,1]=>648[5,2,4,3,6,7,1]=>288[5,2,4,3,7,6,1]=>432[5,2,4,6,3,7,1]=>432[5,2,4,7,3,1,6]=>432[5,2,4,7,6,3,1]=>864[5,2,6,1,4,3,7]=>180[5,2,6,1,4,7,3]=>360[5,2,6,3,4,7,1]=>468[5,2,6,3,7,1,4]=>594[5,2,6,4,1,3,7]=>234[5,2,6,4,7,1,3]=>756[5,2,6,7,1,3,4]=>690[5,2,6,7,3,1,4]=>828[5,2,6,7,3,4,1]=>990[5,2,6,7,4,1,3]=>990[5,2,7,1,4,6,3]=>540[5,2,7,3,1,4,6]=>360[5,2,7,3,1,6,4]=>540[5,2,7,3,4,1,6]=>468[5,2,7,4,1,6,3]=>702[5,2,7,4,3,1,6]=>576[5,2,7,6,3,4,1]=>1224[5,3,1,2,4,6,7]=>36[5,3,1,2,6,7,4]=>144[5,3,1,2,7,4,6]=>144[5,3,1,4,7,6,2]=>324[5,3,1,6,4,7,2]=>324[5,3,1,6,7,4,2]=>486[5,3,1,7,2,4,6]=>252[5,3,1,7,2,6,4]=>378[5,3,1,7,4,2,6]=>324[5,3,1,7,6,4,2]=>648[5,3,2,1,4,6,7]=>48[5,3,2,1,4,7,6]=>96[5,3,2,4,1,6,7]=>72[5,3,2,4,6,1,7]=>144[5,3,2,4,6,7,1]=>288[5,3,2,4,7,6,1]=>432[5,3,2,6,1,4,7]=>168[5,3,2,6,4,1,7]=>216[5,3,4,1,2,6,7]=>78[5,3,4,1,6,7,2]=>312[5,3,4,1,7,2,6]=>312[5,3,4,2,1,6,7]=>96[5,3,4,2,6,1,7]=>192[5,3,4,2,6,7,1]=>384[5,3,4,2,7,6,1]=>576[5,3,4,6,1,2,7]=>252[5,3,4,6,2,1,7]=>288[5,3,4,6,2,7,1]=>576[5,3,4,7,2,6,1]=>864[5,3,6,1,2,7,4]=>396[5,3,6,1,4,7,2]=>516[5,3,6,1,7,4,2]=>774[5,3,6,2,1,4,7]=>240[5,3,6,2,4,1,7]=>312[5,3,6,2,4,7,1]=>624[5,3,6,2,7,1,4]=>792[5,3,6,7,1,4,2]=>1158[5,3,6,7,2,1,4]=>1104[5,3,6,7,2,4,1]=>1320[5,3,6,7,4,2,1]=>1536[5,3,7,1,6,2,4]=>852[5,3,7,1,6,4,2]=>1032[5,3,7,2,1,4,6]=>480[5,3,7,4,1,2,6]=>660[5,3,7,4,2,1,6]=>768[5,3,7,6,4,1,2]=>1704[5,3,7,6,4,2,1]=>1920[5,4,1,2,3,6,7]=>54[5,4,1,2,6,7,3]=>216[5,4,1,2,7,3,6]=>216[5,4,1,6,2,7,3]=>360[5,4,1,6,7,3,2]=>648[5,4,1,7,6,2,3]=>756[5,4,1,7,6,3,2]=>864[5,4,2,1,3,6,7]=>72[5,4,2,1,3,7,6]=>144[5,4,2,1,6,7,3]=>288[5,4,2,1,7,3,6]=>288[5,4,2,3,1,6,7]=>96[5,4,2,3,6,1,7]=>192[5,4,2,6,1,3,7]=>240[5,4,2,6,1,7,3]=>480[5,4,2,6,7,1,3]=>768[5,4,2,7,3,1,6]=>576[5,4,3,1,2,6,7]=>96[5,4,3,1,7,6,2]=>576[5,4,3,2,1,6,7]=>120[5,4,3,2,1,7,6]=>240[5,4,3,2,6,1,7]=>240[5,4,3,2,6,7,1]=>480[5,4,3,2,7,1,6]=>480[5,4,3,2,7,6,1]=>720[5,4,3,6,1,2,7]=>312[5,4,3,6,1,7,2]=>624[5,4,3,6,2,1,7]=>360[5,4,3,6,2,7,1]=>720[5,4,3,6,7,2,1]=>1080[5,4,3,7,6,2,1]=>1440[5,4,6,1,2,3,7]=>276[5,4,6,1,7,3,2]=>1008[5,4,6,2,1,3,7]=>336[5,4,6,2,3,1,7]=>408[5,4,6,2,7,1,3]=>1080[5,4,6,3,1,2,7]=>408[5,4,6,3,1,7,2]=>816[5,4,6,3,2,1,7]=>480[5,4,6,3,2,7,1]=>960[5,4,6,3,7,2,1]=>1440[5,4,6,7,3,2,1]=>1920[5,4,7,2,1,3,6]=>672[5,4,7,3,6,1,2]=>1704[5,4,7,3,6,2,1]=>1920[5,4,7,6,3,2,1]=>2400[5,6,1,2,3,4,7]=>146[5,6,1,2,3,7,4]=>292[5,6,1,2,4,7,3]=>384[5,6,1,2,7,3,4]=>484[5,6,1,3,4,7,2]=>504[5,6,1,4,3,2,7]=>312[5,6,1,7,2,3,4]=>736[5,6,2,1,3,4,7]=>192[5,6,2,1,7,4,3]=>756[5,6,2,3,1,4,7]=>252[5,6,2,3,4,1,7]=>330[5,6,2,3,4,7,1]=>660[5,6,2,3,7,4,1]=>990[5,6,2,4,7,1,3]=>1068[5,6,2,7,3,1,4]=>1164[5,6,2,7,3,4,1]=>1398[5,6,2,7,4,1,3]=>1398[5,6,2,7,4,3,1]=>1632[5,6,3,1,2,4,7]=>252[5,6,3,1,4,2,7]=>330[5,6,3,2,1,4,7]=>312[5,6,3,2,4,1,7]=>408[5,6,3,2,4,7,1]=>816[5,6,3,2,7,1,4]=>1032[5,6,3,2,7,4,1]=>1224[5,6,3,4,1,2,7]=>426[5,6,3,4,2,1,7]=>504[5,6,3,4,7,1,2]=>1356[5,6,3,7,1,2,4]=>1242[5,6,3,7,2,1,4]=>1440[5,6,3,7,4,1,2]=>1782[5,6,3,7,4,2,1]=>2016[5,6,4,1,2,3,7]=>330[5,6,4,1,3,7,2]=>816[5,6,4,2,1,3,7]=>408[5,6,4,2,3,1,7]=>504[5,6,4,3,1,2,7]=>504[5,6,4,3,2,1,7]=>600[5,6,4,3,2,7,1]=>1200[5,6,4,3,7,2,1]=>1800[5,6,4,7,2,3,1]=>2112[5,6,4,7,3,2,1]=>2400[5,6,7,1,2,3,4]=>1066[5,6,7,1,2,4,3]=>1296[5,6,7,1,3,2,4]=>1296[5,6,7,1,3,4,2]=>1572[5,6,7,1,4,2,3]=>1572[5,6,7,2,3,4,1]=>1902[5,6,7,3,1,2,4]=>1572[5,6,7,3,1,4,2]=>1902[5,6,7,3,4,2,1]=>2616[5,6,7,4,1,2,3]=>1902[5,6,7,4,1,3,2]=>2232[5,6,7,4,2,3,1]=>2616[5,6,7,4,3,1,2]=>2616[5,6,7,4,3,2,1]=>3000[5,7,1,2,3,4,6]=>292[5,7,1,2,3,6,4]=>438[5,7,1,2,6,3,4]=>630[5,7,1,2,6,4,3]=>768[5,7,1,3,2,4,6]=>384[5,7,1,3,2,6,4]=>576[5,7,1,3,6,4,2]=>1008[5,7,1,4,3,6,2]=>936[5,7,1,6,2,4,3]=>1080[5,7,1,6,4,3,2]=>1560[5,7,2,1,4,3,6]=>504[5,7,2,1,6,3,4]=>828[5,7,2,3,1,4,6]=>504[5,7,2,3,4,1,6]=>660[5,7,2,3,6,1,4]=>1086[5,7,2,4,1,6,3]=>990[5,7,2,6,1,3,4]=>1158[5,7,2,6,4,1,3]=>1728[5,7,2,6,4,3,1]=>2040[5,7,3,1,4,6,2]=>990[5,7,3,2,1,4,6]=>624[5,7,3,2,1,6,4]=>936[5,7,3,2,4,1,6]=>816[5,7,3,2,6,1,4]=>1344[5,7,3,4,1,6,2]=>1278[5,7,3,4,2,1,6]=>1008[5,7,3,6,1,4,2]=>1824[5,7,3,6,2,1,4]=>1752[5,7,3,6,4,2,1]=>2520[5,7,4,1,2,6,3]=>990[5,7,4,1,3,6,2]=>1224[5,7,4,1,6,3,2]=>1632[5,7,4,2,1,3,6]=>816[5,7,4,2,6,1,3]=>1728[5,7,4,3,1,6,2]=>1512[5,7,4,3,2,1,6]=>1200[5,7,4,3,6,2,1]=>2400[5,7,4,6,3,1,2]=>2616[5,7,6,2,3,1,4]=>1824[5,7,6,4,3,2,1]=>3600[6,1,2,3,4,5,7]=>32[6,1,2,3,4,7,5]=>64[6,1,2,3,7,4,5]=>112[6,1,2,3,7,5,4]=>144[6,1,2,4,7,5,3]=>216[6,1,2,5,3,7,4]=>144[6,1,2,7,3,4,5]=>184[6,1,2,7,3,5,4]=>240[6,1,2,7,4,3,5]=>240[6,1,2,7,4,5,3]=>312[6,1,2,7,5,4,3]=>384[6,1,3,4,2,7,5]=>144[6,1,3,4,5,2,7]=>108[6,1,3,4,5,7,2]=>216[6,1,3,4,7,2,5]=>252[6,1,3,4,7,5,2]=>324[6,1,3,5,7,2,4]=>360[6,1,3,7,2,4,5]=>276[6,1,3,7,2,5,4]=>360[6,1,3,7,4,2,5]=>360[6,1,3,7,5,4,2]=>576[6,1,4,2,3,7,5]=>144[6,1,4,2,5,7,3]=>216[6,1,4,2,7,5,3]=>324[6,1,4,3,2,7,5]=>192[6,1,4,3,7,5,2]=>432[6,1,4,5,2,7,3]=>312[6,1,4,7,2,5,3]=>516[6,1,4,7,5,2,3]=>660[6,1,4,7,5,3,2]=>768[6,1,5,2,3,7,4]=>216[6,1,5,2,7,3,4]=>360[6,1,5,4,7,2,3]=>624[6,1,7,2,3,4,5]=>292[6,1,7,2,3,5,4]=>384[6,1,7,2,4,3,5]=>384[6,1,7,2,5,4,3]=>624[6,1,7,3,2,5,4]=>504[6,1,7,3,4,5,2]=>660[6,1,7,3,5,4,2]=>816[6,1,7,4,5,3,2]=>1008[6,1,7,5,2,3,4]=>660[6,1,7,5,2,4,3]=>816[6,1,7,5,4,3,2]=>1200[6,2,1,3,4,5,7]=>48[6,2,1,3,7,4,5]=>168[6,2,1,4,5,3,7]=>108[6,2,1,4,7,3,5]=>252[6,2,1,4,7,5,3]=>324[6,2,1,5,4,3,7]=>144[6,2,1,5,7,3,4]=>360[6,2,1,7,5,4,3]=>576[6,2,3,1,4,5,7]=>72[6,2,3,1,5,4,7]=>108[6,2,3,1,7,4,5]=>252[6,2,3,1,7,5,4]=>324[6,2,3,4,1,5,7]=>108[6,2,3,4,1,7,5]=>216[6,2,3,4,5,1,7]=>162[6,2,3,4,5,7,1]=>324[6,2,3,4,7,1,5]=>378[6,2,3,4,7,5,1]=>486[6,2,3,5,4,7,1]=>432[6,2,3,5,7,4,1]=>648[6,2,3,7,1,5,4]=>540[6,2,3,7,4,1,5]=>540[6,2,3,7,4,5,1]=>702[6,2,3,7,5,1,4]=>702[6,2,4,3,5,7,1]=>432[6,2,4,3,7,1,5]=>504[6,2,4,5,3,1,7]=>288[6,2,4,5,3,7,1]=>576[6,2,4,5,7,1,3]=>756[6,2,4,5,7,3,1]=>864[6,2,4,7,1,3,5]=>594[6,2,4,7,5,1,3]=>990[6,2,5,1,7,3,4]=>540[6,2,5,3,1,7,4]=>432[6,2,5,3,7,1,4]=>720[6,2,5,4,3,1,7]=>360[6,2,5,4,3,7,1]=>720[6,2,5,7,3,4,1]=>1224[6,2,7,1,4,3,5]=>576[6,2,7,1,5,4,3]=>936[6,2,7,3,1,4,5]=>576[6,2,7,3,4,5,1]=>990[6,2,7,3,5,1,4]=>990[6,2,7,4,1,5,3]=>990[6,2,7,4,3,1,5]=>936[6,2,7,4,5,1,3]=>1278[6,2,7,5,1,3,4]=>990[6,2,7,5,1,4,3]=>1224[6,2,7,5,4,1,3]=>1512[6,3,1,2,4,5,7]=>72[6,3,1,2,4,7,5]=>144[6,3,1,2,7,4,5]=>252[6,3,1,5,2,7,4]=>324[6,3,1,5,4,7,2]=>432[6,3,1,5,7,2,4]=>540[6,3,1,5,7,4,2]=>648[6,3,1,7,2,4,5]=>414[6,3,1,7,4,5,2]=>702[6,3,1,7,5,4,2]=>864[6,3,2,1,4,5,7]=>96[6,3,2,4,1,5,7]=>144[6,3,2,4,5,1,7]=>216[6,3,2,4,5,7,1]=>432[6,3,2,5,1,4,7]=>216[6,3,2,5,4,1,7]=>288[6,3,2,5,4,7,1]=>576[6,3,4,1,2,5,7]=>156[6,3,4,1,2,7,5]=>312[6,3,4,1,7,2,5]=>546[6,3,4,1,7,5,2]=>702[6,3,4,2,1,5,7]=>192[6,3,4,2,5,1,7]=>288[6,3,4,2,5,7,1]=>576[6,3,4,5,1,2,7]=>330[6,3,4,5,1,7,2]=>660[6,3,4,5,2,1,7]=>384[6,3,4,5,2,7,1]=>768[6,3,4,5,7,1,2]=>1044[6,3,4,7,1,5,2]=>1086[6,3,4,7,2,1,5]=>960[6,3,4,7,2,5,1]=>1248[6,3,4,7,5,1,2]=>1374[6,3,4,7,5,2,1]=>1536[6,3,5,1,2,7,4]=>468[6,3,5,1,7,2,4]=>780[6,3,5,4,2,1,7]=>480[6,3,5,4,2,7,1]=>960[6,3,5,7,1,2,4]=>1164[6,3,5,7,4,1,2]=>1704[6,3,5,7,4,2,1]=>1920[6,3,7,1,2,4,5]=>630[6,3,7,1,2,5,4]=>828[6,3,7,1,4,2,5]=>828[6,3,7,1,4,5,2]=>1086[6,3,7,1,5,4,2]=>1344[6,3,7,2,1,4,5]=>768[6,3,7,2,4,1,5]=>1008[6,3,7,2,4,5,1]=>1320[6,3,7,4,5,1,2]=>1782[6,3,7,4,5,2,1]=>2016[6,3,7,5,1,4,2]=>1728[6,3,7,5,2,1,4]=>1632[6,3,7,5,4,2,1]=>2400[6,4,1,2,3,5,7]=>108[6,4,1,2,3,7,5]=>216[6,4,1,2,7,5,3]=>486[6,4,1,5,2,7,3]=>468[6,4,1,5,7,2,3]=>756[6,4,1,5,7,3,2]=>864[6,4,1,7,2,3,5]=>594[6,4,1,7,2,5,3]=>774[6,4,1,7,5,2,3]=>990[6,4,1,7,5,3,2]=>1152[6,4,2,1,3,5,7]=>144[6,4,2,1,5,3,7]=>216[6,4,2,1,7,5,3]=>648[6,4,2,3,1,5,7]=>192[6,4,2,3,1,7,5]=>384[6,4,2,3,5,1,7]=>288[6,4,2,3,7,1,5]=>672[6,4,2,5,1,3,7]=>312[6,4,2,5,7,1,3]=>1008[6,4,2,7,1,3,5]=>792[6,4,2,7,3,5,1]=>1248[6,4,2,7,5,3,1]=>1536[6,4,3,1,2,5,7]=>192[6,4,3,1,5,7,2]=>576[6,4,3,2,1,5,7]=>240[6,4,3,2,1,7,5]=>480[6,4,3,2,5,1,7]=>360[6,4,3,2,5,7,1]=>720[6,4,3,2,7,1,5]=>840[6,4,3,5,1,2,7]=>408[6,4,3,5,1,7,2]=>816[6,4,3,5,2,1,7]=>480[6,4,3,5,2,7,1]=>960[6,4,3,7,1,2,5]=>1032[6,4,5,1,2,3,7]=>330[6,4,5,2,1,3,7]=>408[6,4,5,2,1,7,3]=>816[6,4,5,2,3,1,7]=>504[6,4,5,2,7,1,3]=>1320[6,4,5,3,1,2,7]=>504[6,4,5,3,2,1,7]=>600[6,4,5,7,1,2,3]=>1572[6,4,5,7,3,2,1]=>2400[6,4,7,1,2,5,3]=>1158[6,4,7,1,3,5,2]=>1416[6,4,7,1,5,3,2]=>1752[6,4,7,2,1,3,5]=>1080[6,4,7,2,3,5,1]=>1728[6,4,7,2,5,1,3]=>1824[6,4,7,3,1,5,2]=>1728[6,4,7,3,2,1,5]=>1560[6,4,7,3,2,5,1]=>2040[6,4,7,3,5,2,1]=>2520[6,4,7,5,1,2,3]=>1902[6,4,7,5,2,1,3]=>2232[6,4,7,5,2,3,1]=>2616[6,4,7,5,3,1,2]=>2616[6,4,7,5,3,2,1]=>3000[6,5,1,2,3,4,7]=>162[6,5,1,2,7,3,4]=>540[6,5,1,2,7,4,3]=>648[6,5,1,3,2,7,4]=>432[6,5,1,3,7,4,2]=>864[6,5,1,7,2,4,3]=>1008[6,5,1,7,4,3,2]=>1440[6,5,2,1,3,4,7]=>216[6,5,2,1,4,3,7]=>288[6,5,2,1,7,3,4]=>720[6,5,2,3,1,4,7]=>288[6,5,2,3,1,7,4]=>576[6,5,2,3,4,1,7]=>384[6,5,2,3,7,1,4]=>960[6,5,2,7,1,3,4]=>1104[6,5,2,7,4,1,3]=>1632[6,5,3,1,2,4,7]=>288[6,5,3,1,4,7,2]=>768[6,5,3,2,1,4,7]=>360[6,5,3,2,4,1,7]=>480[6,5,3,4,1,2,7]=>504[6,5,3,4,2,1,7]=>600[6,5,3,4,2,7,1]=>1200[6,5,3,7,1,2,4]=>1440[6,5,3,7,1,4,2]=>1752[6,5,3,7,2,1,4]=>1680[6,5,4,1,2,3,7]=>384[6,5,4,1,2,7,3]=>768[6,5,4,1,7,2,3]=>1248[6,5,4,1,7,3,2]=>1440[6,5,4,2,1,3,7]=>480[6,5,4,2,3,1,7]=>600[6,5,4,2,7,1,3]=>1560[6,5,4,3,1,2,7]=>600[6,5,4,3,1,7,2]=>1200[6,5,4,3,2,1,7]=>720[6,5,4,3,2,7,1]=>1440[6,5,4,3,7,2,1]=>2160[6,5,4,7,3,2,1]=>2880[6,5,7,4,3,2,1]=>3600[6,7,1,2,3,4,5]=>454[6,7,1,2,3,5,4]=>600[6,7,1,2,4,3,5]=>600[6,7,1,2,4,5,3]=>792[6,7,1,3,2,4,5]=>600[6,7,1,3,4,5,2]=>1044[6,7,1,4,5,3,2]=>1608[6,7,1,5,2,3,4]=>1044[6,7,1,5,4,3,2]=>1920[6,7,2,1,3,5,4]=>792[6,7,2,1,5,4,3]=>1296[6,7,2,3,1,4,5]=>792[6,7,2,3,4,1,5]=>1044[6,7,2,3,4,5,1]=>1374[6,7,2,4,5,1,3]=>1782[6,7,2,5,4,3,1]=>2520[6,7,3,1,4,5,2]=>1374[6,7,3,1,5,4,2]=>1704[6,7,3,2,1,4,5]=>984[6,7,3,2,1,5,4]=>1296[6,7,3,2,4,5,1]=>1704[6,7,3,2,5,1,4]=>1704[6,7,3,2,5,4,1]=>2112[6,7,3,4,1,5,2]=>1782[6,7,3,4,2,1,5]=>1608[6,7,3,4,5,1,2]=>2286[6,7,3,5,4,2,1]=>3120[6,7,4,1,2,3,5]=>1044[6,7,4,1,3,5,2]=>1704[6,7,4,1,5,3,2]=>2112[6,7,4,2,3,5,1]=>2112[6,7,4,3,2,5,1]=>2520[6,7,4,3,5,2,1]=>3120[6,7,4,5,1,2,3]=>2286[6,7,4,5,1,3,2]=>2712[6,7,5,1,2,3,4]=>1374[6,7,5,1,4,3,2]=>2520[6,7,5,4,3,2,1]=>4320[7,1,2,3,4,5,6]=>64[7,1,2,3,5,4,6]=>96[7,1,2,3,6,4,5]=>144[7,1,2,4,5,3,6]=>144[7,1,2,4,5,6,3]=>216[7,1,2,5,3,4,6]=>144[7,1,2,5,3,6,4]=>216[7,1,2,5,6,3,4]=>312[7,1,2,6,3,4,5]=>216[7,1,3,2,5,6,4]=>216[7,1,3,4,5,2,6]=>216[7,1,3,4,5,6,2]=>324[7,1,4,2,3,5,6]=>144[7,1,4,2,6,3,5]=>324[7,1,4,5,2,3,6]=>312[7,1,4,5,6,2,3]=>660[7,1,4,6,2,3,5]=>468[7,1,5,2,3,4,6]=>216[7,1,5,2,3,6,4]=>324[7,1,5,2,6,3,4]=>468[7,1,5,4,2,3,6]=>384[7,1,6,3,4,5,2]=>768[7,1,6,5,2,3,4]=>768[7,1,6,5,4,3,2]=>1440[7,2,1,3,4,5,6]=>96[7,2,1,3,5,4,6]=>144[7,2,1,3,6,4,5]=>216[7,2,1,4,5,6,3]=>324[7,2,3,1,4,5,6]=>144[7,2,3,1,5,6,4]=>324[7,2,3,4,1,5,6]=>216[7,2,3,4,1,6,5]=>324[7,2,3,4,5,1,6]=>324[7,2,3,4,5,6,1]=>486[7,2,3,4,6,5,1]=>648[7,2,3,5,4,6,1]=>648[7,2,3,5,6,4,1]=>864[7,2,3,6,4,1,5]=>648[7,2,3,6,5,4,1]=>1080[7,2,4,3,5,6,1]=>648[7,2,4,3,6,5,1]=>864[7,2,4,5,3,6,1]=>864[7,2,4,5,6,3,1]=>1152[7,2,4,6,5,3,1]=>1440[7,2,5,3,1,4,6]=>432[7,2,5,3,4,1,6]=>576[7,2,5,4,3,6,1]=>1080[7,2,5,4,6,3,1]=>1440[7,2,5,6,3,1,4]=>1224[7,2,6,3,1,4,5]=>648[7,2,6,3,4,1,5]=>864[7,2,6,4,5,3,1]=>1800[7,2,6,5,4,3,1]=>2160[7,3,1,2,4,5,6]=>144[7,3,1,2,6,4,5]=>324[7,3,1,4,2,6,5]=>324[7,3,1,5,2,4,6]=>324[7,3,1,5,6,2,4]=>702[7,3,1,6,2,4,5]=>486[7,3,1,6,5,4,2]=>1080[7,3,2,1,4,5,6]=>192[7,3,2,4,1,5,6]=>288[7,3,2,4,5,1,6]=>432[7,3,2,4,5,6,1]=>648[7,3,2,4,6,5,1]=>864[7,3,2,5,4,6,1]=>864[7,3,2,5,6,4,1]=>1152[7,3,2,6,5,4,1]=>1440[7,3,4,1,2,5,6]=>312[7,3,4,1,5,2,6]=>468[7,3,4,1,6,2,5]=>702[7,3,4,2,1,5,6]=>384[7,3,4,2,5,1,6]=>576[7,3,4,2,5,6,1]=>864[7,3,4,2,6,5,1]=>1152[7,3,4,5,1,2,6]=>660[7,3,4,5,2,1,6]=>768[7,3,4,5,2,6,1]=>1152[7,3,4,5,6,1,2]=>1374[7,3,4,5,6,2,1]=>1536[7,3,4,6,1,2,5]=>990[7,3,4,6,5,2,1]=>1920[7,3,5,1,2,4,6]=>468[7,3,5,1,6,2,4]=>1014[7,3,5,4,2,6,1]=>1440[7,3,5,4,6,2,1]=>1920[7,3,6,1,2,4,5]=>702[7,3,6,1,5,4,2]=>1560[7,3,6,4,5,2,1]=>2400[7,3,6,5,1,2,4]=>1632[7,3,6,5,1,4,2]=>2040[7,3,6,5,4,1,2]=>2520[7,3,6,5,4,2,1]=>2880[7,4,1,2,3,5,6]=>216[7,4,1,2,6,3,5]=>486[7,4,1,3,5,2,6]=>432[7,4,1,3,5,6,2]=>648[7,4,1,5,2,3,6]=>468[7,4,1,5,6,2,3]=>990[7,4,1,6,2,3,5]=>702[7,4,1,6,3,5,2]=>1152[7,4,1,6,5,3,2]=>1440[7,4,2,1,3,5,6]=>288[7,4,2,3,1,5,6]=>384[7,4,2,3,5,1,6]=>576[7,4,2,6,3,1,5]=>1152[7,4,3,1,2,5,6]=>384[7,4,3,2,1,5,6]=>480[7,4,3,2,5,6,1]=>1080[7,4,3,2,6,5,1]=>1440[7,4,3,5,2,6,1]=>1440[7,4,3,5,6,2,1]=>1920[7,4,3,6,5,2,1]=>2400[7,4,5,1,2,3,6]=>660[7,4,5,1,3,2,6]=>816[7,4,5,2,1,3,6]=>816[7,4,5,2,3,1,6]=>1008[7,4,5,3,1,2,6]=>1008[7,4,5,3,2,1,6]=>1200[7,4,5,6,1,2,3]=>1902[7,4,5,6,2,1,3]=>2232[7,4,5,6,2,3,1]=>2616[7,4,5,6,3,1,2]=>2616[7,4,5,6,3,2,1]=>3000[7,4,6,2,1,3,5]=>1224[7,4,6,2,3,1,5]=>1512[7,4,6,3,1,2,5]=>1512[7,4,6,3,2,1,5]=>1800[7,4,6,5,3,2,1]=>3600[7,5,1,2,3,4,6]=>324[7,5,1,2,4,3,6]=>432[7,5,1,2,6,3,4]=>702[7,5,1,3,4,2,6]=>576[7,5,1,6,4,2,3]=>1512[7,5,1,6,4,3,2]=>1800[7,5,2,1,3,4,6]=>432[7,5,2,3,1,4,6]=>576[7,5,2,3,4,1,6]=>768[7,5,2,4,6,3,1]=>1920[7,5,2,6,3,1,4]=>1632[7,5,3,1,2,4,6]=>576[7,5,3,2,1,4,6]=>720[7,5,3,2,4,1,6]=>960[7,5,3,4,1,2,6]=>1008[7,5,3,4,2,1,6]=>1200[7,5,3,4,2,6,1]=>1800[7,5,3,4,6,2,1]=>2400[7,5,4,1,2,3,6]=>768[7,5,4,1,6,2,3]=>1632[7,5,4,1,6,3,2]=>1920[7,5,4,2,1,3,6]=>960[7,5,4,2,3,1,6]=>1200[7,5,4,3,1,2,6]=>1200[7,5,4,3,2,1,6]=>1440[7,5,4,3,2,6,1]=>2160[7,5,4,3,6,2,1]=>2880[7,5,4,6,3,2,1]=>3600[7,5,6,1,2,3,4]=>1374[7,5,6,2,1,3,4]=>1704[7,5,6,2,3,1,4]=>2112[7,5,6,2,3,4,1]=>2616[7,5,6,3,1,2,4]=>2112[7,5,6,3,2,1,4]=>2520[7,5,6,3,4,1,2]=>3216[7,5,6,3,4,2,1]=>3720[7,5,6,4,1,2,3]=>2616[7,5,6,4,2,1,3]=>3120[7,5,6,4,2,3,1]=>3720[7,5,6,4,3,1,2]=>3720[7,5,6,4,3,2,1]=>4320[7,6,1,2,3,4,5]=>486[7,6,1,2,3,5,4]=>648[7,6,1,2,5,4,3]=>1080[7,6,1,3,4,2,5]=>864[7,6,1,5,4,3,2]=>2160[7,6,2,1,3,4,5]=>648[7,6,2,1,4,3,5]=>864[7,6,2,3,1,4,5]=>864[7,6,2,3,4,1,5]=>1152[7,6,2,3,4,5,1]=>1536[7,6,3,1,2,4,5]=>864[7,6,3,2,1,4,5]=>1080[7,6,3,4,1,2,5]=>1512[7,6,3,4,2,1,5]=>1800[7,6,3,4,5,1,2]=>2616[7,6,3,4,5,2,1]=>3000[7,6,3,5,4,2,1]=>3600[7,6,4,1,2,3,5]=>1152[7,6,4,2,1,3,5]=>1440[7,6,4,2,3,1,5]=>1800[7,6,4,3,1,2,5]=>1800[7,6,4,3,2,1,5]=>2160[7,6,4,3,5,2,1]=>3600[7,6,4,5,1,2,3]=>2616[7,6,4,5,1,3,2]=>3120[7,6,4,5,2,1,3]=>3120[7,6,4,5,2,3,1]=>3720[7,6,4,5,3,1,2]=>3720[7,6,4,5,3,2,1]=>4320[7,6,5,1,2,3,4]=>1536[7,6,5,2,1,3,4]=>1920[7,6,5,2,3,1,4]=>2400[7,6,5,2,3,4,1]=>3000[7,6,5,3,1,2,4]=>2400[7,6,5,3,2,1,4]=>2880[7,6,5,3,4,1,2]=>3720[7,6,5,3,4,2,1]=>4320[7,6,5,4,1,2,3]=>3000[7,6,5,4,2,1,3]=>3600[7,6,5,4,2,3,1]=>4320[7,6,5,4,3,1,2]=>4320[7,6,5,4,3,2,1]=>5040
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描述
置换的反转排列的区域数。
反转安排$\mathcal{A} 包含(_w)$由超平面$x_i-x_j=0$组成,使得$(i,j)$是$w$的反转。
Postnikov[4]推测$\mathcal中的区域数{A} 包含(_w)当且仅当$w$避免$4231$、$35142$、$42513$和$351624$时,$等于强Bruhat顺序中间隔$[id,w]$中的置换数。Hultman-Linusson-Sharishian-Sjöstrand[1]证明了这一猜想。
Oh-Postnikov-Yoo[3]表明$\mathcal的区域数量{A} 包含(_w)$是$|\chi_{G_w}(-1)|$,其中$\chi_}G_w{$是反转图$G_w$的色多项式。这是带有顶点${1,2,\ldot,n}$和边$(i,j)$的图,用于$i\lneq j$$w_i\gneq w_j$。
对于排列$w=w_1\cdots w_n$,刘易斯·莫拉莱斯[2]和霍尔特曼(见[2]中的附录)表明,这个数字等于$w$西南罗特图上$n$非攻击车的位置数。
工具书类
[1]Hultman,A.,Linusson,S.,Shareshian,J.,Sjöstrand,J。 从Bruhat区间到交格及Postnikov猜想 数学科学网:2500158
[2]布鲁斯特·刘易斯,J.,莫拉莱斯,A.H。 排列图的组合数学 arXiv公司:1405.1608
[3]哦,S.,Postnikov,A.,Yoo,H。 Bruhat阶、光滑Schubert变种和超平面排列 数学科学网:2450335
[4]Postnikov,A。 总积极性、格拉斯曼主义和人际网络 arXiv:数学/0609764
代码
定义统计(x):#创建置换的反转图g=图表(len(x))对于x.inversions()中的inv:g.add_edge((发票[0]-1,发票[1]-1)#反演图的色多项式铬多聚物=g.铬多聚物()#反转排列的区域数是#反转图的非循环方向返回abs(chrompoly(-1))
创建
2013年2月26日06时31分亚历杭德罗·莫拉莱斯
已更新
2021年2月9日14:31马丁·鲁比