Values
=>
Cc0014;cc-rep
([],1)=>1
([],2)=>2
([(0,1)],2)=>1
([],3)=>3
([(1,2)],3)=>3
([(0,1),(0,2)],3)=>2
([(0,2),(2,1)],3)=>1
([(0,2),(1,2)],3)=>2
([],4)=>4
([(2,3)],4)=>4
([(1,2),(1,3)],4)=>8
([(0,1),(0,2),(0,3)],4)=>3
([(0,2),(0,3),(3,1)],4)=>3
([(0,1),(0,2),(1,3),(2,3)],4)=>2
([(1,2),(2,3)],4)=>4
([(0,3),(3,1),(3,2)],4)=>2
([(1,3),(2,3)],4)=>8
([(0,3),(1,3),(3,2)],4)=>2
([(0,3),(1,3),(2,3)],4)=>3
([(0,3),(1,2)],4)=>4
([(0,3),(1,2),(1,3)],4)=>6
([(0,2),(0,3),(1,2),(1,3)],4)=>2
([(0,3),(2,1),(3,2)],4)=>1
([(0,3),(1,2),(2,3)],4)=>3
([],5)=>5
([(3,4)],5)=>5
([(2,3),(2,4)],5)=>10
([(1,2),(1,3),(1,4)],5)=>15
([(0,1),(0,2),(0,3),(0,4)],5)=>4
([(0,2),(0,3),(0,4),(4,1)],5)=>4
([(0,1),(0,2),(0,3),(2,4),(3,4)],5)=>8
([(0,1),(0,2),(0,3),(1,4),(2,4),(3,4)],5)=>3
([(1,3),(1,4),(4,2)],5)=>15
([(0,3),(0,4),(4,1),(4,2)],5)=>8
([(1,2),(1,3),(2,4),(3,4)],5)=>5
([(0,2),(0,3),(2,4),(3,4),(4,1)],5)=>2
([(0,3),(0,4),(3,2),(4,1)],5)=>4
([(0,2),(0,3),(2,4),(3,1),(3,4)],5)=>6
([(0,1),(0,2),(1,3),(1,4),(2,3),(2,4)],5)=>2
([(2,3),(3,4)],5)=>5
([(1,4),(4,2),(4,3)],5)=>5
([(0,4),(4,1),(4,2),(4,3)],5)=>3
([(2,4),(3,4)],5)=>10
([(1,4),(2,4),(4,3)],5)=>5
([(0,4),(1,4),(4,2),(4,3)],5)=>2
([(1,4),(2,4),(3,4)],5)=>15
([(0,4),(1,4),(2,4),(4,3)],5)=>3
([(0,4),(1,4),(2,4),(3,4)],5)=>4
([(0,4),(1,4),(2,3)],5)=>10
([(0,4),(1,3),(2,3),(2,4)],5)=>12
([(0,4),(1,3),(1,4),(2,3),(2,4)],5)=>14
([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4)],5)=>6
([(0,4),(1,4),(2,3),(4,2)],5)=>2
([(0,4),(1,3),(2,3),(3,4)],5)=>8
([(0,4),(1,4),(2,3),(2,4)],5)=>20
([(0,4),(1,4),(2,3),(3,4)],5)=>4
([(1,4),(2,3)],5)=>5
([(1,4),(2,3),(2,4)],5)=>15
([(0,4),(1,2),(1,4),(2,3)],5)=>20
([(0,3),(1,2),(1,3),(2,4),(3,4)],5)=>6
([(1,3),(1,4),(2,3),(2,4)],5)=>5
([(0,3),(0,4),(1,3),(1,4),(4,2)],5)=>6
([(0,3),(0,4),(1,3),(1,4),(3,2),(4,2)],5)=>2
([(0,4),(1,2),(1,4),(4,3)],5)=>7
([(0,4),(1,2),(1,3)],5)=>10
([(0,4),(1,2),(1,3),(1,4)],5)=>20
([(0,2),(0,4),(3,1),(4,3)],5)=>4
([(0,4),(1,2),(1,3),(3,4)],5)=>12
([(0,2),(0,3),(1,4),(2,4),(3,1)],5)=>3
([(0,4),(1,2),(1,3),(2,4),(3,4)],5)=>8
([(0,3),(0,4),(1,2),(1,4)],5)=>12
([(0,3),(0,4),(1,2),(1,3),(1,4)],5)=>14
([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4)],5)=>6
([(0,3),(0,4),(1,2),(1,3),(2,4)],5)=>15
([(0,3),(1,2),(1,4),(3,4)],5)=>20
([(0,3),(0,4),(1,2),(2,3),(2,4)],5)=>6
([(1,4),(3,2),(4,3)],5)=>5
([(0,3),(3,4),(4,1),(4,2)],5)=>2
([(1,4),(2,3),(3,4)],5)=>15
([(0,4),(1,2),(2,4),(4,3)],5)=>3
([(0,3),(1,4),(4,2)],5)=>5
([(0,4),(3,2),(4,1),(4,3)],5)=>3
([(0,4),(1,2),(2,3),(2,4)],5)=>7
([(0,4),(2,3),(3,1),(4,2)],5)=>1
([(0,3),(1,2),(2,4),(3,4)],5)=>4
([(0,4),(1,2),(2,3),(3,4)],5)=>4
([(0,3),(1,4),(2,4),(3,1),(3,2)],5)=>2
([],6)=>6
([(4,5)],6)=>6
([(3,4),(3,5)],6)=>12
([(2,3),(2,4),(2,5)],6)=>18
([(1,2),(1,3),(1,4),(1,5)],6)=>24
([(0,1),(0,2),(0,3),(0,4),(0,5)],6)=>5
([(0,2),(0,3),(0,4),(0,5),(5,1)],6)=>5
([(0,1),(0,2),(0,3),(0,4),(3,5),(4,5)],6)=>10
([(0,1),(0,2),(0,3),(0,4),(2,5),(3,5),(4,5)],6)=>15
([(0,1),(0,2),(0,3),(0,4),(1,5),(2,5),(3,5),(4,5)],6)=>4
([(1,3),(1,4),(1,5),(5,2)],6)=>24
([(0,3),(0,4),(0,5),(5,1),(5,2)],6)=>10
([(1,2),(1,3),(1,4),(3,5),(4,5)],6)=>48
([(1,2),(1,3),(1,4),(2,5),(3,5),(4,5)],6)=>18
([(0,2),(0,3),(0,4),(2,5),(3,5),(4,5),(5,1)],6)=>3
([(0,2),(0,3),(0,4),(2,5),(3,5),(4,1)],6)=>10
([(0,1),(0,2),(0,3),(1,5),(2,4),(3,4),(3,5)],6)=>12
([(0,1),(0,2),(0,3),(1,5),(2,4),(2,5),(3,4),(3,5)],6)=>14
([(0,1),(0,2),(0,3),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6)=>6
([(0,2),(0,3),(0,4),(2,5),(3,5),(4,1),(4,5)],6)=>20
([(0,1),(0,2),(0,3),(1,5),(2,4),(3,4),(4,5)],6)=>8
([(0,2),(0,3),(0,4),(3,5),(4,5),(5,1)],6)=>5
([(0,3),(0,4),(0,5),(4,2),(5,1)],6)=>5
([(0,2),(0,3),(0,4),(3,5),(4,1),(4,5)],6)=>15
([(0,1),(0,2),(0,3),(2,4),(2,5),(3,4),(3,5)],6)=>5
([(2,3),(2,4),(4,5)],6)=>18
([(1,4),(1,5),(5,2),(5,3)],6)=>48
([(0,4),(0,5),(5,1),(5,2),(5,3)],6)=>15
([(2,3),(2,4),(3,5),(4,5)],6)=>6
([(1,2),(1,3),(2,5),(3,5),(5,4)],6)=>12
([(0,3),(0,4),(3,5),(4,5),(5,1),(5,2)],6)=>2
([(1,4),(1,5),(4,3),(5,2)],6)=>24
([(1,3),(1,4),(3,5),(4,2),(4,5)],6)=>36
([(1,2),(1,3),(2,4),(2,5),(3,4),(3,5)],6)=>12
([(0,2),(0,3),(2,4),(2,5),(3,4),(3,5),(5,1)],6)=>6
([(0,1),(0,2),(1,4),(1,5),(2,4),(2,5),(4,3),(5,3)],6)=>2
([(0,3),(0,4),(3,5),(4,1),(4,5),(5,2)],6)=>7
([(0,4),(0,5),(4,3),(5,1),(5,2)],6)=>10
([(0,3),(0,4),(3,5),(4,1),(4,2),(4,5)],6)=>20
([(0,3),(0,4),(3,2),(3,5),(4,1),(4,5)],6)=>12
([(0,2),(0,3),(2,4),(2,5),(3,1),(3,4),(3,5)],6)=>14
([(0,1),(0,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6)=>6
([(3,4),(4,5)],6)=>6
([(2,3),(3,4),(3,5)],6)=>6
([(1,5),(5,2),(5,3),(5,4)],6)=>18
([(0,5),(5,1),(5,2),(5,3),(5,4)],6)=>4
([(2,3),(3,5),(5,4)],6)=>6
([(1,4),(4,5),(5,2),(5,3)],6)=>12
([(0,4),(4,5),(5,1),(5,2),(5,3)],6)=>3
([(3,5),(4,5)],6)=>12
([(2,5),(3,5),(5,4)],6)=>6
([(1,5),(2,5),(5,3),(5,4)],6)=>12
([(0,5),(1,5),(5,2),(5,3),(5,4)],6)=>6
([(2,5),(3,5),(4,5)],6)=>18
([(1,5),(2,5),(3,5),(5,4)],6)=>18
([(0,5),(1,5),(2,5),(5,3),(5,4)],6)=>6
([(1,5),(2,5),(3,5),(4,5)],6)=>24
([(0,5),(1,5),(2,5),(3,5),(5,4)],6)=>4
([(0,5),(1,5),(2,5),(3,5),(4,5)],6)=>5
([(0,5),(1,5),(2,5),(3,4)],6)=>18
([(0,5),(1,5),(2,5),(3,4),(5,3)],6)=>3
([(0,5),(1,5),(2,5),(3,4),(5,4)],6)=>15
([(0,5),(1,5),(2,5),(3,4),(3,5)],6)=>90
([(0,5),(1,5),(2,5),(3,4),(4,5)],6)=>5
([(1,5),(2,5),(3,4)],6)=>12
([(1,5),(2,4),(3,4),(3,5)],6)=>72
([(0,5),(1,4),(2,4),(2,5),(5,3)],6)=>42
([(0,4),(1,3),(2,3),(2,4),(3,5),(4,5)],6)=>12
([(1,5),(2,4),(2,5),(3,4),(3,5)],6)=>84
([(0,5),(1,4),(1,5),(2,4),(2,5),(4,3)],6)=>18
([(0,5),(1,3),(1,5),(2,3),(2,5),(3,4),(5,4)],6)=>14
([(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6)=>36
([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(5,3)],6)=>3
([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(4,3),(5,3)],6)=>6
([(0,5),(1,4),(1,5),(2,4),(2,5),(5,3)],6)=>24
([(1,5),(2,5),(3,4),(5,3)],6)=>12
([(1,5),(2,4),(3,4),(4,5)],6)=>48
([(0,5),(1,4),(2,4),(4,5),(5,3)],6)=>8
([(0,5),(1,5),(2,3),(5,4)],6)=>6
([(0,5),(1,5),(4,2),(5,3),(5,4)],6)=>6
([(0,5),(1,5),(2,4),(5,3),(5,4)],6)=>40
([(1,5),(2,5),(3,4),(3,5)],6)=>24
([(0,5),(1,5),(2,3),(2,5),(5,4)],6)=>18
([(0,5),(1,5),(2,3),(2,5),(3,4)],6)=>60
([(0,5),(1,5),(2,3),(2,5),(3,4),(5,4)],6)=>20
([(0,5),(1,5),(2,3),(2,4)],6)=>12
([(0,5),(1,5),(4,2),(4,3),(5,4)],6)=>2
([(0,4),(1,4),(2,3),(2,5),(4,5)],6)=>30
([(0,3),(1,3),(2,4),(2,5),(3,4),(3,5)],6)=>8
([(0,5),(1,5),(2,3),(2,4),(2,5)],6)=>60
([(0,5),(1,2),(1,4),(3,5),(4,3)],6)=>20
([(0,3),(0,4),(1,5),(2,5),(4,1),(4,2)],6)=>5
([(0,3),(0,4),(1,5),(2,5),(3,2),(4,1)],6)=>4
([(0,5),(1,5),(2,3),(2,4),(4,5)],6)=>110
([(0,5),(1,3),(1,4),(2,5),(3,5),(4,2)],6)=>15
([(0,3),(0,4),(1,5),(2,5),(3,5),(4,1),(4,2)],6)=>8
([(0,5),(1,5),(2,3),(2,4),(3,5),(4,5)],6)=>10
([(1,5),(2,5),(3,4),(4,5)],6)=>24
([(0,5),(1,5),(2,3),(3,5),(5,4)],6)=>4
([(0,5),(1,5),(2,3),(3,4)],6)=>12
([(0,5),(1,5),(3,2),(4,3),(5,4)],6)=>2
([(0,4),(1,4),(2,3),(3,5),(4,5)],6)=>10
([(0,5),(1,4),(3,5),(4,2),(4,3)],6)=>14
([(0,4),(2,5),(3,5),(4,1),(4,2),(4,3)],6)=>8
([(0,5),(1,5),(2,3),(3,4),(3,5)],6)=>28
([(0,5),(1,5),(2,3),(3,4),(4,5)],6)=>5
([(0,5),(1,4),(2,5),(3,5),(4,2),(4,3)],6)=>5
([(0,4),(1,5),(2,5),(3,5),(4,1),(4,2),(4,3)],6)=>3
([(0,5),(1,5),(2,4),(3,4)],6)=>12
([(0,5),(1,5),(2,4),(3,4),(3,5)],6)=>260
([(0,5),(1,5),(2,4),(2,5),(3,4),(3,5)],6)=>28
([(0,5),(1,4),(2,4),(2,5),(3,4),(3,5)],6)=>56
([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6)=>60
([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6)=>4
([(0,5),(1,4),(2,4),(3,5),(4,3)],6)=>5
([(0,4),(1,4),(2,5),(3,5),(4,2),(4,3)],6)=>2
([(0,5),(1,5),(2,4),(3,4),(4,5)],6)=>10
([(2,5),(3,4)],6)=>6
([(2,5),(3,4),(3,5)],6)=>18
([(1,5),(2,3),(2,5),(3,4)],6)=>24
([(0,5),(1,4),(1,5),(4,2),(4,3)],6)=>30
([(0,4),(1,2),(1,4),(2,3),(2,5),(4,5)],6)=>8
([(0,5),(1,2),(1,5),(2,3),(2,4),(5,3),(5,4)],6)=>6
([(1,4),(2,3),(2,4),(3,5),(4,5)],6)=>36
([(0,4),(1,2),(1,4),(2,5),(4,5),(5,3)],6)=>6
([(0,5),(1,4),(1,5),(4,2),(5,3)],6)=>14
([(0,4),(1,2),(1,4),(2,5),(4,3),(4,5)],6)=>10
([(2,4),(2,5),(3,4),(3,5)],6)=>6
([(1,4),(1,5),(2,4),(2,5),(5,3)],6)=>36
([(0,4),(0,5),(1,4),(1,5),(5,2),(5,3)],6)=>8
([(1,3),(1,4),(2,3),(2,4),(3,5),(4,5)],6)=>12
([(0,4),(0,5),(1,4),(1,5),(4,3),(5,2)],6)=>4
([(0,4),(0,5),(1,4),(1,5),(4,3),(5,2),(5,3)],6)=>6
([(0,4),(0,5),(1,4),(1,5),(4,2),(4,3),(5,2),(5,3)],6)=>2
([(0,4),(0,5),(1,4),(1,5),(2,3)],6)=>6
([(0,4),(0,5),(1,4),(1,5),(2,3),(5,2)],6)=>4
([(0,4),(0,5),(1,4),(1,5),(3,2),(4,3),(5,3)],6)=>2
([(0,4),(0,5),(1,4),(1,5),(2,3),(4,2),(5,3)],6)=>6
([(0,5),(1,3),(1,4),(2,3),(2,4),(4,5)],6)=>28
([(0,5),(1,3),(1,4),(2,3),(2,4),(3,5),(4,5)],6)=>5
([(0,4),(0,5),(1,4),(1,5),(2,3),(2,5)],6)=>42
([(0,4),(0,5),(1,3),(1,5),(2,3),(2,5),(3,4)],6)=>24
([(0,4),(0,5),(1,4),(1,5),(2,3),(2,4),(2,5)],6)=>18
([(0,4),(0,5),(1,4),(1,5),(2,3),(2,4),(3,5)],6)=>52
([(0,4),(0,5),(1,4),(1,5),(2,3),(3,5)],6)=>28
([(0,4),(0,5),(1,4),(1,5),(2,3),(3,4),(3,5)],6)=>4
([(1,5),(2,3),(2,5),(5,4)],6)=>42
([(0,5),(1,2),(1,5),(5,3),(5,4)],6)=>40
([(1,5),(2,3),(2,4)],6)=>12
([(1,5),(2,3),(2,4),(2,5)],6)=>24
([(0,5),(1,3),(1,4),(1,5),(4,2)],6)=>90
([(0,4),(1,2),(1,3),(1,4),(3,5),(4,5)],6)=>90
([(0,4),(1,2),(1,3),(1,4),(2,5),(3,5)],6)=>30
([(0,4),(1,2),(1,3),(1,4),(2,5),(3,5),(4,5)],6)=>20
([(0,5),(1,2),(1,3),(1,5),(5,4)],6)=>28
([(0,5),(1,2),(1,3),(1,4)],6)=>18
([(0,5),(1,2),(1,3),(1,4),(1,5)],6)=>90
([(0,2),(0,3),(0,5),(4,1),(5,4)],6)=>5
([(0,5),(1,2),(1,3),(1,4),(4,5)],6)=>110
([(0,2),(0,3),(0,4),(1,5),(3,5),(4,1)],6)=>15
([(0,5),(1,2),(1,3),(1,4),(3,5),(4,5)],6)=>20
([(0,2),(0,3),(0,4),(1,5),(2,5),(3,5),(4,1)],6)=>4
([(0,5),(1,2),(1,3),(1,4),(2,5),(3,5),(4,5)],6)=>15
([(0,4),(1,2),(1,3),(1,5),(4,5)],6)=>60
([(0,3),(1,2),(1,4),(1,5),(3,4),(3,5)],6)=>18
([(0,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6)=>3
([(1,3),(1,5),(4,2),(5,4)],6)=>24
([(0,3),(0,4),(4,5),(5,1),(5,2)],6)=>5
([(0,4),(0,5),(3,2),(4,3),(5,1)],6)=>5
([(0,2),(0,4),(2,5),(3,1),(4,3),(4,5)],6)=>20
([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)=>6
([(0,3),(0,4),(2,5),(3,2),(4,1),(4,5)],6)=>20
([(0,2),(0,3),(1,4),(2,4),(2,5),(3,1),(3,5)],6)=>15
([(1,5),(2,3),(2,4),(4,5)],6)=>72
([(0,5),(1,2),(1,3),(3,5),(5,4)],6)=>14
([(1,3),(1,4),(2,5),(3,5),(4,2)],6)=>18
([(0,3),(0,4),(1,5),(3,5),(4,1),(5,2)],6)=>3
([(1,5),(2,3),(2,4),(3,5),(4,5)],6)=>48
([(0,5),(1,2),(1,3),(2,5),(3,5),(5,4)],6)=>8
([(0,5),(1,3),(1,4),(3,5),(4,2)],6)=>55
([(0,4),(1,2),(1,3),(2,5),(3,4),(3,5)],6)=>195
([(0,5),(1,2),(1,3),(2,4),(2,5),(3,4),(3,5)],6)=>40
([(0,4),(1,2),(1,3),(2,5),(3,4),(4,5)],6)=>12
([(0,3),(0,4),(2,5),(3,5),(4,1),(4,2)],6)=>12
([(0,5),(1,3),(1,4),(3,5),(4,2),(4,5)],6)=>90
([(0,4),(1,3),(1,5),(5,2)],6)=>18
([(0,3),(0,5),(4,2),(5,1),(5,4)],6)=>15
([(0,5),(1,3),(1,4),(4,2),(4,5)],6)=>116
([(0,4),(1,2),(1,3),(3,5),(4,5)],6)=>55
([(0,2),(0,4),(1,5),(2,5),(3,1),(4,3)],6)=>4
([(0,4),(1,2),(1,3),(2,5),(3,5)],6)=>6
([(0,4),(1,2),(1,3),(2,5),(3,5),(4,5)],6)=>10
([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6)=>2
([(0,4),(1,2),(1,3),(2,5),(3,5),(5,4)],6)=>5
([(1,4),(1,5),(2,3),(2,5)],6)=>72
([(1,4),(1,5),(2,3),(2,4),(2,5)],6)=>84
([(0,4),(0,5),(1,3),(1,4),(1,5),(5,2)],6)=>60
([(0,4),(0,5),(1,2),(1,4),(1,5),(4,3),(5,3)],6)=>40
([(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6)=>36
([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(5,2)],6)=>4
([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(4,2),(5,2)],6)=>8
([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,5),(3,5),(4,5)],6)=>6
([(0,4),(0,5),(1,2),(1,4),(1,5),(2,3)],6)=>28
([(0,4),(0,5),(1,2),(1,4),(1,5),(2,3),(5,3)],6)=>48
([(0,3),(0,4),(1,2),(1,3),(1,4),(2,5),(3,5),(4,5)],6)=>14
([(0,4),(0,5),(1,3),(1,5),(5,2)],6)=>56
([(1,4),(1,5),(2,3),(2,4),(3,5)],6)=>18
([(0,4),(0,5),(1,2),(1,4),(2,5),(4,3)],6)=>26
([(0,4),(0,5),(1,2),(1,4),(2,5),(5,3)],6)=>24
([(0,2),(0,5),(1,4),(1,5),(2,4),(4,3),(5,3)],6)=>15
([(0,3),(0,5),(1,4),(1,5),(4,2)],6)=>260
([(0,2),(0,4),(1,3),(1,4),(3,5),(4,5)],6)=>195
([(0,4),(0,5),(1,2),(1,4),(2,3),(2,5)],6)=>24
([(0,2),(0,5),(1,4),(1,5),(2,3),(2,4),(5,3)],6)=>24
([(0,3),(0,4),(1,2),(1,4),(2,5),(3,5)],6)=>11
([(0,3),(0,4),(1,2),(1,4),(2,5),(3,5),(4,5)],6)=>12
([(0,4),(0,5),(1,2),(1,4),(2,3),(3,5)],6)=>12
([(0,4),(0,5),(1,2),(1,3)],6)=>12
([(0,4),(0,5),(1,2),(1,3),(1,5)],6)=>260
([(0,4),(0,5),(1,2),(1,3),(1,4),(1,5)],6)=>28
([(0,4),(0,5),(1,2),(1,3),(1,4),(3,5)],6)=>252
([(0,4),(0,5),(1,2),(1,3),(1,4),(2,5),(3,5)],6)=>12
([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5)],6)=>56
([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5)],6)=>60
([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5)],6)=>4
([(0,2),(0,4),(0,5),(1,3),(1,4),(1,5),(2,3)],6)=>52
([(0,3),(0,4),(1,2),(1,4),(1,5),(3,5)],6)=>116
([(0,2),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4)],6)=>24
([(0,4),(0,5),(1,2),(1,3),(3,5)],6)=>315
([(0,4),(0,5),(1,2),(1,3),(3,4),(3,5)],6)=>28
([(0,2),(0,3),(1,4),(1,5),(2,4),(2,5),(3,1)],6)=>6
([(0,2),(0,4),(2,5),(3,1),(3,5),(4,3)],6)=>7
([(0,4),(0,5),(1,2),(1,3),(2,5),(3,5)],6)=>30
([(0,4),(0,5),(1,2),(1,3),(2,5),(3,4)],6)=>11
([(0,4),(0,5),(1,2),(1,3),(2,5),(3,4),(3,5)],6)=>48
([(0,4),(0,5),(1,2),(1,3),(2,4),(2,5),(3,4),(3,5)],6)=>8
([(0,3),(0,5),(1,2),(1,4),(2,5),(3,4)],6)=>12
([(1,4),(2,3),(2,5),(4,5)],6)=>24
([(0,4),(1,3),(1,5),(4,5),(5,2)],6)=>9
([(1,4),(1,5),(2,3),(3,4),(3,5)],6)=>36
([(0,4),(0,5),(1,3),(3,4),(3,5),(5,2)],6)=>3
([(0,2),(1,4),(1,5),(2,4),(2,5),(4,3),(5,3)],6)=>6
([(0,3),(1,4),(1,5),(3,5),(4,2)],6)=>30
([(0,3),(1,2),(1,4),(2,5),(3,4),(4,5)],6)=>20
([(0,3),(1,2),(1,4),(2,5),(3,4),(3,5)],6)=>26
([(0,5),(1,3),(1,4),(5,2)],6)=>12
([(0,2),(0,5),(3,4),(4,1),(5,3)],6)=>5
([(0,5),(4,2),(4,3),(5,1),(5,4)],6)=>8
([(0,4),(1,3),(1,5),(4,2),(4,5)],6)=>42
([(0,4),(0,5),(1,2),(2,3),(2,4),(2,5)],6)=>24
([(0,4),(0,5),(1,2),(2,3),(2,5),(3,4)],6)=>24
([(2,5),(3,4),(4,5)],6)=>18
([(1,5),(2,3),(3,5),(5,4)],6)=>18
([(0,5),(1,2),(2,5),(5,3),(5,4)],6)=>6
([(1,3),(2,4),(4,5)],6)=>6
([(1,5),(4,3),(5,2),(5,4)],6)=>18
([(1,5),(2,3),(3,4),(3,5)],6)=>42
([(0,5),(1,4),(4,2),(4,5),(5,3)],6)=>12
([(0,4),(1,5),(5,2),(5,3)],6)=>6
([(0,5),(4,3),(5,1),(5,2),(5,4)],6)=>4
([(0,5),(1,4),(4,2),(4,3),(4,5)],6)=>18
([(1,5),(3,4),(4,2),(5,3)],6)=>6
([(0,4),(3,5),(4,3),(5,1),(5,2)],6)=>2
([(1,4),(2,3),(3,5),(4,5)],6)=>24
([(0,4),(1,3),(3,5),(4,5),(5,2)],6)=>4
([(0,5),(1,4),(4,2),(5,3)],6)=>6
([(0,5),(3,4),(4,2),(5,1),(5,3)],6)=>4
([(0,3),(1,4),(3,5),(4,2),(4,5)],6)=>14
([(0,3),(1,2),(2,4),(2,5),(3,4),(3,5)],6)=>4
([(1,5),(2,3),(3,4),(4,5)],6)=>24
([(1,4),(2,5),(3,5),(4,2),(4,3)],6)=>12
([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6)=>2
([(0,5),(1,4),(2,5),(4,2),(5,3)],6)=>4
([(0,5),(1,4),(2,3)],6)=>6
([(0,5),(1,3),(2,4),(2,5)],6)=>18
([(0,5),(1,4),(2,3),(2,4),(2,5)],6)=>1170
([(0,5),(1,4),(1,5),(3,2),(4,3)],6)=>30
([(0,4),(1,2),(1,4),(2,3),(3,5),(4,5)],6)=>20
([(0,5),(1,4),(2,3),(2,4),(3,5)],6)=>315
([(0,4),(1,2),(1,4),(2,5),(3,5),(4,3)],6)=>7
([(0,5),(1,4),(2,3),(2,4),(3,5),(4,5)],6)=>15
([(0,5),(1,3),(1,5),(4,2),(5,4)],6)=>20
([(0,5),(1,4),(2,3),(2,4),(4,5)],6)=>116
([(0,4),(1,4),(1,5),(2,3),(2,5)],6)=>60
([(0,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6)=>42
([(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6)=>18
([(0,4),(0,5),(1,3),(1,5),(2,3),(2,4)],6)=>24
([(0,4),(0,5),(1,3),(1,5),(2,3),(2,4),(2,5)],6)=>24
([(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6)=>24
([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6)=>3
([(0,4),(1,3),(1,5),(2,3),(2,4),(4,5)],6)=>24
([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5)],6)=>180
([(0,5),(1,4),(1,5),(2,3),(2,4),(3,5)],6)=>252
([(0,5),(1,4),(1,5),(2,3),(2,5)],6)=>1170
([(0,5),(1,4),(1,5),(2,3),(2,5),(3,4)],6)=>116
([(0,4),(1,4),(1,5),(2,3),(3,5)],6)=>260
([(0,5),(1,4),(1,5),(2,3),(3,4),(3,5)],6)=>60
([(0,4),(1,3),(1,5),(2,5),(4,2)],6)=>30
([(0,4),(0,5),(1,2),(2,3),(3,4),(3,5)],6)=>4
([(0,3),(1,4),(1,5),(2,4),(2,5),(3,1),(3,2)],6)=>2
([(0,4),(2,5),(3,1),(3,5),(4,2),(4,3)],6)=>6
([(0,5),(1,4),(2,3),(2,5),(4,5)],6)=>90
([(0,5),(1,3),(4,2),(5,4)],6)=>6
([(0,5),(3,2),(4,1),(5,3),(5,4)],6)=>4
([(0,5),(1,4),(3,2),(4,3),(4,5)],6)=>9
([(0,5),(1,2),(2,3),(2,5),(3,4),(5,4)],6)=>7
([(0,4),(3,2),(4,5),(5,1),(5,3)],6)=>3
([(0,5),(1,3),(3,4),(4,2),(4,5)],6)=>20
([(0,5),(2,4),(3,2),(4,1),(5,3)],6)=>1
([(0,5),(1,3),(2,4),(4,5)],6)=>18
([(0,5),(1,4),(2,3),(3,4),(3,5)],6)=>56
([(0,5),(1,3),(3,5),(4,2),(5,4)],6)=>3
([(0,5),(1,4),(2,3),(3,5),(5,4)],6)=>15
([(0,5),(1,4),(2,5),(3,2),(4,3)],6)=>5
([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6)=>2
([(0,3),(1,4),(2,5),(3,5),(4,2)],6)=>5
([(0,4),(1,5),(2,5),(3,2),(4,1),(4,3)],6)=>3
([(0,5),(1,4),(2,3),(3,5),(4,5)],6)=>5
([],7)=>7
([(5,6)],7)=>7
([(4,5),(4,6)],7)=>14
([(3,4),(3,5),(3,6)],7)=>21
([(2,3),(2,4),(2,5),(2,6)],7)=>28
([(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>35
([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>6
([(0,2),(0,3),(0,4),(0,5),(0,6),(6,1)],7)=>6
([(0,1),(0,2),(0,3),(0,4),(0,5),(4,6),(5,6)],7)=>12
([(0,1),(0,2),(0,3),(0,4),(0,5),(3,6),(4,6),(5,6)],7)=>18
([(0,1),(0,2),(0,3),(0,4),(0,5),(2,6),(3,6),(4,6),(5,6)],7)=>24
([(0,1),(0,2),(0,3),(0,4),(0,5),(1,6),(2,6),(3,6),(4,6),(5,6)],7)=>5
([(1,3),(1,4),(1,5),(1,6),(6,2)],7)=>35
([(0,3),(0,4),(0,5),(0,6),(6,1),(6,2)],7)=>12
([(1,2),(1,3),(1,4),(1,5),(4,6),(5,6)],7)=>35
([(1,2),(1,3),(1,4),(1,5),(3,6),(4,6),(5,6)],7)=>35
([(1,2),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,6)],7)=>14
([(0,2),(0,3),(0,4),(0,5),(2,6),(3,6),(4,6),(5,6),(6,1)],7)=>4
([(0,2),(0,3),(0,4),(0,5),(2,6),(3,6),(4,6),(5,1)],7)=>18
([(0,2),(0,3),(0,4),(0,5),(2,6),(3,6),(4,6),(5,1),(5,6)],7)=>90
([(0,1),(0,2),(0,3),(0,4),(1,6),(2,6),(3,6),(4,5),(6,5)],7)=>15
([(0,2),(0,3),(0,4),(0,5),(3,6),(4,6),(5,6),(6,1)],7)=>18
([(0,2),(0,3),(0,4),(0,5),(3,6),(4,6),(5,1)],7)=>12
([(0,1),(0,2),(0,3),(0,4),(2,6),(3,5),(4,5),(4,6)],7)=>72
([(0,1),(0,2),(0,3),(0,4),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>84
([(0,1),(0,2),(0,3),(0,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>36
([(0,2),(0,3),(0,4),(0,5),(3,6),(4,6),(5,1),(5,6)],7)=>24
([(0,1),(0,2),(0,3),(0,4),(1,6),(2,6),(3,5),(4,5)],7)=>12
([(0,1),(0,2),(0,3),(0,4),(1,6),(2,6),(3,5),(4,5),(4,6)],7)=>260
([(0,1),(0,2),(0,3),(0,4),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>28
([(0,1),(0,2),(0,3),(0,4),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)=>56
([(0,1),(0,2),(0,3),(0,4),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>60
([(0,1),(0,2),(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>4
([(0,1),(0,2),(0,3),(0,4),(1,6),(2,6),(3,5),(4,5),(5,6)],7)=>10
([(0,1),(0,2),(0,3),(0,4),(2,6),(3,5),(4,5),(5,6)],7)=>48
([(0,2),(0,3),(0,4),(0,5),(4,6),(5,6),(6,1)],7)=>6
([(0,3),(0,4),(0,5),(0,6),(5,2),(6,1)],7)=>6
([(0,2),(0,3),(0,4),(0,5),(4,6),(5,1),(5,6)],7)=>18
([(0,1),(0,2),(0,3),(0,4),(3,5),(3,6),(4,5),(4,6)],7)=>6
([(2,4),(2,5),(2,6),(6,3)],7)=>28
([(1,4),(1,5),(1,6),(6,2),(6,3)],7)=>35
([(0,4),(0,5),(0,6),(6,1),(6,2),(6,3)],7)=>18
([(2,3),(2,4),(2,5),(4,6),(5,6)],7)=>56
([(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)=>21
([(1,2),(1,3),(1,4),(2,6),(3,6),(4,6),(6,5)],7)=>7
([(0,3),(0,4),(0,5),(3,6),(4,6),(5,6),(6,1),(6,2)],7)=>6
([(1,3),(1,4),(1,5),(3,6),(4,6),(5,2)],7)=>35
([(1,2),(1,3),(1,4),(2,6),(3,5),(4,5),(4,6)],7)=>14
([(1,2),(1,3),(1,4),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>49
([(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>7
([(0,2),(0,3),(0,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(6,1)],7)=>3
([(0,1),(0,2),(0,3),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(5,4),(6,4)],7)=>6
([(0,2),(0,3),(0,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,1)],7)=>18
([(0,1),(0,2),(0,3),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(6,5)],7)=>14
([(0,2),(0,3),(0,4),(2,6),(3,5),(3,6),(4,5),(4,6),(6,1)],7)=>24
([(0,2),(0,3),(0,4),(2,6),(3,5),(4,5),(4,6),(6,1)],7)=>42
([(0,1),(0,2),(0,3),(1,5),(2,4),(3,4),(3,5),(4,6),(5,6)],7)=>12
([(1,3),(1,4),(1,5),(3,6),(4,6),(5,2),(5,6)],7)=>70
([(0,3),(0,4),(0,5),(3,6),(4,6),(5,1),(5,6),(6,2)],7)=>18
([(0,3),(0,4),(0,5),(3,6),(4,6),(5,1),(5,2)],7)=>12
([(0,3),(0,4),(0,5),(3,6),(4,6),(5,1),(5,2),(5,6)],7)=>60
([(0,2),(0,3),(0,4),(2,5),(3,5),(4,1),(4,6),(5,6)],7)=>30
([(0,1),(0,2),(0,3),(1,4),(2,4),(3,5),(3,6),(4,5),(4,6)],7)=>8
([(1,2),(1,3),(1,4),(2,6),(3,5),(4,5),(5,6)],7)=>28
([(0,2),(0,3),(0,4),(2,6),(3,5),(4,5),(5,6),(6,1)],7)=>8
([(0,3),(0,4),(0,5),(3,6),(4,6),(5,1),(6,2)],7)=>6
([(0,2),(0,3),(0,4),(2,6),(3,6),(4,5),(6,1),(6,5)],7)=>40
([(1,2),(1,3),(1,4),(3,6),(4,6),(6,5)],7)=>35
([(0,3),(0,4),(0,5),(4,6),(5,6),(6,1),(6,2)],7)=>12
([(1,4),(1,5),(1,6),(5,3),(6,2)],7)=>35
([(1,3),(1,4),(1,5),(4,6),(5,2),(5,6)],7)=>35
([(1,2),(1,3),(1,4),(3,5),(3,6),(4,5),(4,6)],7)=>35
([(0,2),(0,3),(0,4),(2,5),(2,6),(3,5),(3,6),(4,1)],7)=>6
([(0,2),(0,3),(0,4),(2,5),(2,6),(3,5),(3,6),(4,1),(4,6)],7)=>42
([(0,2),(0,3),(0,4),(2,5),(2,6),(3,5),(3,6),(4,1),(4,5),(4,6)],7)=>18
([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5)],7)=>24
([(0,1),(0,2),(0,3),(1,6),(2,4),(2,5),(3,4),(3,5),(5,6)],7)=>28
([(0,1),(0,2),(0,3),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)=>5
([(0,2),(0,3),(0,4),(3,5),(3,6),(4,5),(4,6),(6,1)],7)=>36
([(0,1),(0,2),(0,3),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)=>12
([(0,3),(0,4),(0,5),(4,6),(5,1),(5,6),(6,2)],7)=>42
([(0,4),(0,5),(0,6),(5,3),(6,1),(6,2)],7)=>12
([(0,3),(0,4),(0,5),(4,6),(5,1),(5,2),(5,6)],7)=>24
([(0,3),(0,4),(0,5),(4,2),(4,6),(5,1),(5,6)],7)=>72
([(0,2),(0,3),(0,4),(3,5),(3,6),(4,1),(4,5),(4,6)],7)=>84
([(0,1),(0,2),(0,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>36
([(0,4),(0,5),(0,6),(4,3),(5,2),(6,1)],7)=>6
([(0,3),(0,4),(0,5),(3,6),(4,2),(5,1),(5,6)],7)=>18
([(0,2),(0,3),(0,4),(2,6),(3,5),(4,1),(4,5),(4,6)],7)=>1170
([(0,2),(0,3),(0,4),(2,5),(3,5),(3,6),(4,1),(4,6)],7)=>60
([(0,1),(0,2),(0,3),(1,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>42
([(0,1),(0,2),(0,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>18
([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5)],7)=>24
([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6)],7)=>24
([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>24
([(0,1),(0,2),(0,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>3
([(0,2),(0,3),(0,4),(2,6),(3,5),(3,6),(4,1),(4,5),(4,6)],7)=>180
([(0,1),(0,2),(0,3),(1,5),(2,4),(2,6),(3,4),(3,5),(5,6)],7)=>24
([(0,3),(0,4),(0,5),(3,6),(4,2),(4,6),(5,1),(5,6)],7)=>1170
([(0,2),(0,3),(0,4),(2,6),(3,5),(4,1),(4,5),(5,6)],7)=>116
([(3,4),(3,5),(5,6)],7)=>21
([(2,5),(2,6),(6,3),(6,4)],7)=>56
([(1,5),(1,6),(6,2),(6,3),(6,4)],7)=>35
([(0,5),(0,6),(6,1),(6,2),(6,3),(6,4)],7)=>24
([(3,4),(3,5),(4,6),(5,6)],7)=>7
([(2,3),(2,4),(3,6),(4,6),(6,5)],7)=>14
([(1,2),(1,3),(2,6),(3,6),(6,4),(6,5)],7)=>7
([(0,4),(0,5),(4,6),(5,6),(6,1),(6,2),(6,3)],7)=>6
([(2,5),(2,6),(5,4),(6,3)],7)=>28
([(2,3),(2,4),(3,6),(4,5),(4,6)],7)=>42
([(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7)=>14
([(1,3),(1,4),(3,5),(3,6),(4,5),(4,6),(6,2)],7)=>7
([(0,3),(0,4),(3,5),(3,6),(4,5),(4,6),(6,1),(6,2)],7)=>8
([(1,2),(1,3),(2,5),(2,6),(3,5),(3,6),(5,4),(6,4)],7)=>7
([(0,2),(0,3),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6),(6,1)],7)=>2
([(0,3),(0,4),(3,5),(3,6),(4,5),(4,6),(5,2),(6,1)],7)=>4
([(0,2),(0,3),(2,4),(2,6),(3,4),(3,6),(4,5),(6,1),(6,5)],7)=>6
([(0,1),(0,2),(1,5),(1,6),(2,5),(2,6),(5,3),(5,4),(6,3),(6,4)],7)=>2
([(1,3),(1,5),(3,6),(5,2),(5,6),(6,4)],7)=>49
([(0,4),(0,5),(4,6),(5,1),(5,6),(6,2),(6,3)],7)=>40
([(1,5),(1,6),(5,4),(6,2),(6,3)],7)=>35
([(1,4),(1,5),(4,6),(5,2),(5,3),(5,6)],7)=>70
([(0,4),(0,5),(4,6),(5,1),(5,2),(5,6),(6,3)],7)=>28
([(0,5),(0,6),(5,4),(6,1),(6,2),(6,3)],7)=>18
([(0,4),(0,5),(4,6),(5,1),(5,2),(5,3),(5,6)],7)=>90
([(1,4),(1,5),(4,3),(4,6),(5,2),(5,6)],7)=>14
([(1,3),(1,4),(3,5),(3,6),(4,2),(4,5),(4,6)],7)=>49
([(1,2),(1,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>7
([(0,2),(0,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(6,1)],7)=>4
([(0,1),(0,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(5,3),(6,3)],7)=>8
([(0,1),(0,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)=>6
([(0,3),(0,4),(3,5),(3,6),(4,2),(4,5),(4,6),(6,1)],7)=>60
([(0,2),(0,3),(2,4),(2,5),(3,1),(3,4),(3,5),(4,6),(5,6)],7)=>40
([(0,4),(0,5),(4,2),(4,6),(5,1),(5,6),(6,3)],7)=>56
([(0,5),(0,6),(5,3),(5,4),(6,1),(6,2)],7)=>12
([(0,4),(0,5),(4,3),(4,6),(5,1),(5,2),(5,6)],7)=>260
([(0,3),(0,4),(3,5),(3,6),(4,1),(4,2),(4,5),(4,6)],7)=>28
([(0,3),(0,4),(3,2),(3,5),(3,6),(4,1),(4,5),(4,6)],7)=>56
([(0,2),(0,3),(2,4),(2,5),(2,6),(3,1),(3,4),(3,5),(3,6)],7)=>60
([(0,1),(0,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>4
([(2,3),(2,4),(3,5),(4,6),(5,6)],7)=>21
([(1,3),(1,5),(2,6),(3,6),(5,2),(6,4)],7)=>7
([(0,4),(0,5),(1,6),(4,6),(5,1),(6,2),(6,3)],7)=>6
([(4,5),(5,6)],7)=>7
([(3,4),(4,5),(4,6)],7)=>7
([(2,6),(6,3),(6,4),(6,5)],7)=>21
([(1,6),(6,2),(6,3),(6,4),(6,5)],7)=>14
([(0,6),(6,1),(6,2),(6,3),(6,4),(6,5)],7)=>5
([(3,4),(4,6),(6,5)],7)=>7
([(2,5),(5,6),(6,3),(6,4)],7)=>14
([(1,5),(5,6),(6,2),(6,3),(6,4)],7)=>7
([(0,5),(5,6),(6,1),(6,2),(6,3),(6,4)],7)=>4
([(4,6),(5,6)],7)=>14
([(3,6),(4,6),(6,5)],7)=>7
([(2,6),(3,6),(6,4),(6,5)],7)=>14
([(1,6),(2,6),(6,3),(6,4),(6,5)],7)=>7
([(0,6),(1,6),(6,2),(6,3),(6,4),(6,5)],7)=>4
([(3,6),(4,6),(5,6)],7)=>21
([(2,6),(3,6),(4,6),(6,5)],7)=>21
([(1,6),(2,6),(3,6),(6,4),(6,5)],7)=>7
([(0,6),(1,6),(2,6),(6,3),(6,4),(6,5)],7)=>3
([(2,6),(3,6),(4,6),(5,6)],7)=>28
([(1,6),(2,6),(3,6),(4,6),(6,5)],7)=>14
([(0,6),(1,6),(2,6),(3,6),(6,4),(6,5)],7)=>4
([(1,6),(2,6),(3,6),(4,6),(5,6)],7)=>35
([(0,6),(1,6),(2,6),(3,6),(4,6),(6,5)],7)=>5
([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)=>6
([(0,6),(1,6),(2,6),(3,6),(4,5)],7)=>28
([(0,6),(1,6),(2,6),(3,6),(4,5),(6,4)],7)=>4
([(0,6),(1,6),(2,6),(3,6),(4,5),(6,5)],7)=>24
([(0,6),(1,6),(2,6),(3,6),(4,5),(4,6)],7)=>84
([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7)=>6
([(1,6),(2,6),(3,6),(4,5)],7)=>21
([(1,6),(2,6),(3,6),(4,5),(6,4)],7)=>7
([(1,6),(2,6),(3,6),(4,5),(6,5)],7)=>35
([(0,6),(1,6),(2,6),(3,4),(6,5)],7)=>21
([(0,6),(1,6),(2,6),(4,5),(6,3),(6,4)],7)=>3
([(0,6),(1,6),(2,6),(3,5),(6,4),(6,5)],7)=>11
([(1,6),(2,6),(3,6),(4,5),(4,6)],7)=>105
([(0,6),(1,6),(2,6),(3,4),(3,6),(6,5)],7)=>231
([(0,6),(1,6),(2,6),(3,4),(3,6),(4,5)],7)=>42
([(0,6),(1,6),(2,6),(3,4),(3,6),(4,5),(6,5)],7)=>90
([(0,6),(1,6),(2,6),(3,4),(3,5)],7)=>42
([(0,6),(1,6),(2,6),(3,4),(3,5),(6,3)],7)=>6
([(0,6),(1,6),(2,6),(3,4),(3,5),(6,5)],7)=>126
([(0,6),(1,6),(2,6),(3,4),(3,5),(6,4),(6,5)],7)=>30
([(0,6),(1,6),(2,6),(3,4),(3,5),(3,6)],7)=>42
([(0,6),(1,6),(2,6),(3,4),(3,5),(5,6)],7)=>78
([(0,6),(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7)=>12
([(1,6),(2,6),(3,6),(4,5),(5,6)],7)=>35
([(0,6),(1,6),(2,6),(3,4),(4,6),(6,5)],7)=>5
([(0,6),(1,6),(2,6),(3,4),(4,5)],7)=>21
([(0,6),(1,6),(2,6),(3,5),(5,4),(6,3)],7)=>3
([(0,6),(1,6),(2,6),(3,5),(5,4),(6,5)],7)=>15
([(0,6),(1,6),(2,6),(3,4),(4,5),(6,5)],7)=>18
([(0,6),(1,6),(2,6),(3,4),(4,5),(4,6)],7)=>483
([(0,3),(1,6),(2,6),(3,5),(4,6),(5,4)],7)=>6
([(0,6),(1,4),(2,6),(3,6),(4,5),(5,2),(5,3)],7)=>12
([(0,4),(1,6),(2,6),(3,6),(4,5),(5,1),(5,2),(5,3)],7)=>3
([(0,6),(1,6),(2,6),(3,4),(4,5),(5,6)],7)=>6
([(0,6),(1,6),(2,6),(3,5),(4,5)],7)=>42
([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)=>1320
([(0,6),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)=>34086
([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>144
([(0,6),(1,5),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>720
([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>44
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>10
([(0,6),(1,6),(2,6),(3,5),(4,5),(6,4)],7)=>18
([(0,6),(1,6),(2,6),(3,5),(4,5),(6,3),(6,4)],7)=>6
([(0,6),(1,6),(2,5),(3,5),(4,5),(5,6)],7)=>18
([(0,6),(1,6),(2,6),(3,5),(4,5),(4,6)],7)=>924
([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>966
([(0,6),(1,6),(2,5),(3,5),(4,6),(5,4)],7)=>6
([(0,6),(1,5),(2,5),(3,6),(4,6),(5,3),(5,4)],7)=>12
([(0,5),(1,5),(2,6),(3,6),(4,6),(5,2),(5,3),(5,4)],7)=>6
([(0,6),(1,6),(2,6),(3,5),(4,5),(5,6)],7)=>12
([(2,6),(3,6),(4,5)],7)=>14
([(2,6),(3,5),(4,5),(4,6)],7)=>84
([(1,6),(2,5),(3,5),(3,6),(6,4)],7)=>49
([(0,6),(1,5),(2,5),(2,6),(6,3),(6,4)],7)=>126
([(1,5),(2,4),(3,4),(3,5),(4,6),(5,6)],7)=>14
([(0,5),(1,4),(2,4),(2,5),(4,6),(5,6),(6,3)],7)=>12
([(0,6),(1,5),(2,5),(2,6),(5,3),(6,4)],7)=>80
([(0,6),(1,4),(2,4),(2,6),(4,5),(6,3),(6,5)],7)=>9
([(0,6),(1,5),(2,5),(2,6),(5,3),(5,4),(6,3),(6,4)],7)=>12
([(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>98
([(1,6),(2,5),(2,6),(3,5),(3,6),(5,4)],7)=>21
([(0,6),(1,5),(1,6),(2,5),(2,6),(5,3),(5,4)],7)=>154
([(0,6),(1,5),(1,6),(2,5),(2,6),(5,3),(5,4),(6,4)],7)=>48
([(0,6),(1,3),(1,6),(2,3),(2,6),(3,4),(3,5),(6,4),(6,5)],7)=>14
([(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(6,5)],7)=>49
([(0,6),(1,5),(1,6),(2,5),(2,6),(5,4),(6,3)],7)=>85
([(0,6),(1,4),(1,6),(2,4),(2,6),(4,5),(6,3),(6,5)],7)=>33
([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>42
([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(6,4)],7)=>7
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(6,3),(6,4)],7)=>24
([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(5,4),(6,4)],7)=>7
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(5,4),(6,3)],7)=>12
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(5,4),(6,3),(6,4)],7)=>6
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(5,3),(5,4),(6,3),(6,4)],7)=>6
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4)],7)=>42
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(6,3)],7)=>12
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(4,3),(5,4),(6,4)],7)=>6
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(6,4)],7)=>51
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(5,4),(6,3)],7)=>3
([(0,6),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)=>36
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6)],7)=>126
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(5,4)],7)=>135
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>462
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(4,6)],7)=>720
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(4,6)],7)=>144
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(4,5),(4,6)],7)=>10
([(1,6),(2,5),(2,6),(3,5),(3,6),(6,4)],7)=>28
([(0,6),(1,5),(1,6),(2,5),(2,6),(6,3),(6,4)],7)=>26
([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4)],7)=>98
([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(5,3)],7)=>154
([(0,6),(1,4),(1,6),(2,4),(2,6),(4,5),(5,3),(6,5)],7)=>14
([(0,6),(1,4),(1,6),(2,4),(2,6),(3,5),(4,3),(6,5)],7)=>18
([(0,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5)],7)=>230
([(0,6),(1,4),(1,6),(2,4),(2,6),(3,5),(4,5),(6,3)],7)=>24
([(0,6),(1,5),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)=>84
([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(6,3)],7)=>26
([(0,6),(1,5),(2,4),(2,6),(3,4),(3,6),(6,5)],7)=>114
([(0,5),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6)],7)=>32016
([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(6,4)],7)=>464
([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>3230
([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(4,6)],7)=>11130
([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6)],7)=>87906
([(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5)],7)=>2240
([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5)],7)=>13260
([(0,5),(1,5),(1,6),(2,5),(2,6),(3,4),(4,6)],7)=>34086
([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(4,5),(4,6)],7)=>44
([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(4,6)],7)=>966
([(0,6),(1,5),(2,5),(2,6),(3,4)],7)=>84
([(0,6),(1,5),(2,4),(3,4),(3,5),(3,6)],7)=>168
([(0,6),(1,5),(2,5),(2,6),(3,4),(6,3)],7)=>126
([(0,6),(1,4),(2,5),(3,4),(3,5),(5,6)],7)=>9660
([(0,5),(1,4),(2,4),(2,5),(3,6),(4,6),(5,3)],7)=>42
([(0,6),(1,5),(2,4),(3,4),(3,5),(4,6),(5,6)],7)=>72
([(0,6),(1,5),(2,5),(2,6),(3,4),(3,6)],7)=>157842
([(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5)],7)=>704
([(0,5),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6)],7)=>214
([(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>910
([(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6)],7)=>145860
([(0,6),(1,5),(1,6),(2,4),(3,4),(3,6),(4,5)],7)=>630
([(0,6),(1,5),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>17472
([(0,6),(1,5),(2,5),(2,6),(3,4),(3,5),(4,6)],7)=>167790
([(0,6),(1,5),(2,5),(2,6),(3,4),(4,6)],7)=>924
([(0,6),(1,5),(2,5),(2,6),(3,4),(4,5),(4,6)],7)=>720
([(2,6),(3,6),(4,5),(6,4)],7)=>14
([(2,6),(3,5),(4,5),(5,6)],7)=>56
([(1,6),(2,5),(3,5),(5,6),(6,4)],7)=>28
([(0,6),(1,5),(2,5),(5,6),(6,3),(6,4)],7)=>8
([(1,6),(2,6),(3,4),(6,5)],7)=>7
([(1,6),(2,6),(4,5),(6,3),(6,4)],7)=>7
([(1,6),(2,6),(3,5),(6,4),(6,5)],7)=>140
([(0,6),(1,5),(2,5),(5,3),(5,6),(6,4)],7)=>13
([(0,6),(1,6),(2,3),(6,4),(6,5)],7)=>14
([(0,6),(1,6),(5,2),(6,3),(6,4),(6,5)],7)=>4
([(0,6),(1,6),(2,5),(6,3),(6,4),(6,5)],7)=>10
([(2,6),(3,6),(4,5),(4,6)],7)=>28
([(1,6),(2,6),(3,4),(3,6),(6,5)],7)=>21
([(0,6),(1,6),(2,3),(2,6),(6,4),(6,5)],7)=>10
([(1,6),(2,6),(3,4),(3,6),(4,5)],7)=>70
([(1,6),(2,6),(3,4),(3,6),(4,5),(6,5)],7)=>70
([(0,6),(1,6),(2,3),(2,6),(3,5),(6,4)],7)=>119
([(0,6),(1,6),(2,4),(2,6),(4,5),(6,3),(6,5)],7)=>84
([(0,6),(1,6),(2,3),(2,6),(3,4),(3,5)],7)=>84
([(0,6),(1,6),(2,3),(2,6),(3,4),(3,5),(6,5)],7)=>560
([(0,6),(1,6),(2,3),(2,6),(3,4),(3,5),(6,4),(6,5)],7)=>20
([(0,6),(1,6),(2,3),(2,6),(3,5),(5,4)],7)=>42
([(0,6),(1,6),(2,3),(2,6),(3,5),(5,4),(6,5)],7)=>20
([(0,6),(1,6),(2,3),(2,6),(3,4),(4,5),(6,5)],7)=>60
([(1,6),(2,6),(3,4),(3,5)],7)=>14
([(1,6),(2,6),(3,4),(3,5),(6,3)],7)=>7
([(1,5),(2,5),(3,4),(3,6),(5,6)],7)=>35
([(1,4),(2,4),(3,5),(3,6),(4,5),(4,6)],7)=>28
([(0,5),(0,6),(1,4),(2,4),(4,5),(4,6),(6,3)],7)=>24
([(0,5),(1,5),(2,4),(2,6),(5,6),(6,3)],7)=>154
([(0,6),(1,6),(2,3),(2,4),(6,5)],7)=>14
([(0,6),(1,6),(5,2),(5,3),(6,4),(6,5)],7)=>8
([(0,6),(1,6),(2,4),(2,5),(6,3),(6,5)],7)=>126
([(0,6),(1,6),(2,4),(2,5),(6,3),(6,4),(6,5)],7)=>26
([(1,6),(2,6),(3,4),(3,5),(3,6)],7)=>70
([(0,6),(1,6),(2,3),(2,4),(2,6),(6,5)],7)=>238
([(0,6),(1,6),(2,3),(2,4),(2,6),(4,5)],7)=>42
([(0,6),(1,6),(2,3),(2,4),(2,6),(4,5),(6,5)],7)=>1716
([(0,6),(1,6),(2,3),(2,4),(2,6),(3,5),(4,5)],7)=>84
([(0,5),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)=>60
([(0,6),(1,6),(2,3),(2,4),(2,5)],7)=>42
([(0,6),(1,6),(5,2),(5,3),(5,4),(6,5)],7)=>6
([(0,5),(1,5),(2,3),(2,4),(2,6),(5,6)],7)=>84
([(0,4),(1,4),(2,3),(2,5),(2,6),(4,5),(4,6)],7)=>154
([(0,6),(1,6),(2,3),(2,4),(2,5),(6,3),(6,4),(6,5)],7)=>24
([(0,6),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>42
([(0,6),(1,2),(1,3),(1,5),(4,6),(5,4)],7)=>114
([(0,3),(0,4),(0,5),(1,6),(2,6),(5,1),(5,2)],7)=>6
([(0,3),(0,4),(0,5),(1,6),(2,6),(4,2),(5,1)],7)=>24
([(0,6),(1,6),(2,3),(2,4),(2,5),(5,6)],7)=>390
([(0,6),(1,2),(1,4),(1,5),(3,6),(4,6),(5,3)],7)=>90
([(0,3),(0,4),(0,5),(1,6),(2,6),(4,6),(5,1),(5,2)],7)=>48
([(0,3),(0,4),(0,5),(1,6),(2,6),(3,6),(4,2),(5,1)],7)=>5
([(0,6),(1,6),(2,3),(2,4),(2,5),(4,6),(5,6)],7)=>228
([(0,6),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,2)],7)=>24
([(0,3),(0,4),(0,5),(1,6),(2,6),(3,6),(4,6),(5,1),(5,2)],7)=>10
([(0,6),(1,6),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)=>18
([(1,6),(2,6),(3,4),(3,5),(5,6)],7)=>385
([(0,6),(1,6),(2,3),(2,4),(4,6),(6,5)],7)=>28
([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7)=>35
([(0,6),(1,6),(2,3),(2,4),(3,6),(4,6),(6,5)],7)=>10
([(0,6),(1,6),(2,3),(2,4),(4,5)],7)=>42
([(0,6),(1,6),(4,3),(5,2),(5,4),(6,5)],7)=>6
([(0,5),(1,5),(2,3),(2,6),(3,4),(5,6)],7)=>84
([(0,4),(1,4),(2,3),(2,5),(3,6),(4,5),(4,6)],7)=>240
([(0,4),(1,4),(2,3),(2,5),(3,6),(4,5),(5,6)],7)=>30
([(0,6),(1,6),(2,4),(2,5),(4,3),(5,3),(6,4),(6,5)],7)=>8
([(0,5),(1,5),(2,3),(2,4),(4,6),(5,6)],7)=>156
([(0,6),(1,3),(1,5),(4,6),(5,2),(5,4)],7)=>355
([(0,4),(0,5),(2,6),(3,6),(5,1),(5,2),(5,3)],7)=>48
([(0,6),(1,6),(2,3),(2,4),(4,5),(4,6)],7)=>1410
([(0,6),(1,4),(1,5),(3,6),(4,2),(5,3)],7)=>114
([(0,6),(1,3),(1,4),(2,6),(3,5),(4,2),(6,5)],7)=>20
([(0,6),(1,4),(1,5),(3,6),(4,3),(5,2),(5,6)],7)=>66
([(0,4),(0,5),(2,6),(3,6),(4,1),(4,6),(5,2),(5,3)],7)=>30
([(0,3),(0,4),(1,6),(2,6),(3,5),(3,6),(4,1),(4,2),(4,5)],7)=>12
([(0,6),(1,3),(1,4),(2,6),(3,5),(3,6),(4,2),(4,5)],7)=>54
([(0,4),(0,5),(2,6),(3,6),(4,3),(5,1),(5,2)],7)=>55
([(0,3),(0,4),(1,5),(2,5),(3,2),(3,6),(4,1),(4,6)],7)=>11
([(0,3),(0,4),(1,6),(2,6),(3,2),(3,5),(4,1),(4,5),(5,6)],7)=>12
([(0,4),(0,5),(2,6),(3,6),(4,1),(5,2),(5,3)],7)=>6
([(0,3),(0,4),(1,5),(2,5),(3,6),(4,1),(4,2),(5,6)],7)=>5
([(0,3),(0,4),(1,5),(2,5),(3,6),(4,1),(4,2),(4,6)],7)=>30
([(0,3),(0,4),(1,6),(2,6),(3,5),(4,1),(4,2),(4,5),(5,6)],7)=>20
([(0,6),(1,3),(1,4),(2,6),(3,5),(4,2),(4,5)],7)=>108
([(0,6),(1,3),(1,4),(2,6),(3,5),(4,2),(4,5),(5,6)],7)=>36
([(0,3),(0,4),(1,5),(2,5),(3,6),(4,2),(4,6),(6,1)],7)=>7
([(0,6),(1,6),(2,3),(2,4),(3,5),(4,6)],7)=>390
([(0,6),(1,6),(2,3),(2,4),(3,6),(4,5),(6,5)],7)=>110
([(0,6),(1,4),(1,5),(3,6),(4,6),(5,2),(5,3)],7)=>63
([(0,4),(0,5),(2,6),(3,6),(4,6),(5,1),(5,2),(5,3)],7)=>20
([(0,6),(1,6),(2,3),(2,4),(3,6),(4,5),(4,6)],7)=>510
([(0,6),(1,6),(2,3),(2,4),(3,5),(4,6),(5,6)],7)=>18
([(0,6),(1,4),(1,5),(2,6),(3,6),(4,6),(5,2),(5,3)],7)=>48
([(0,4),(0,5),(1,6),(2,6),(3,6),(4,6),(5,1),(5,2),(5,3)],7)=>15
([(0,5),(1,5),(2,3),(2,4),(3,6),(4,6)],7)=>14
([(0,6),(1,6),(2,5),(3,5),(4,2),(4,3),(6,4)],7)=>2
([(0,5),(1,5),(2,3),(2,4),(3,6),(4,6),(5,6)],7)=>12
([(0,6),(1,6),(2,3),(2,4),(3,5),(4,5),(4,6)],7)=>462
([(0,6),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7)=>48
([(0,5),(1,2),(1,3),(2,6),(3,6),(4,5),(6,4)],7)=>12
([(0,3),(0,4),(1,5),(2,5),(3,6),(4,6),(6,1),(6,2)],7)=>2
([(0,6),(1,6),(2,3),(2,4),(3,5),(4,5),(5,6)],7)=>6
([(0,6),(1,6),(2,3),(2,4),(4,5),(5,6)],7)=>114
([(0,6),(1,2),(1,5),(3,6),(4,6),(5,3),(5,4)],7)=>30
([(0,4),(0,5),(1,6),(2,6),(3,6),(5,1),(5,2),(5,3)],7)=>18
([(0,6),(1,4),(1,5),(2,6),(3,6),(4,3),(5,2)],7)=>24
([(0,4),(0,5),(1,6),(2,6),(3,6),(4,3),(5,1),(5,2)],7)=>10
([(2,6),(3,6),(4,5),(5,6)],7)=>28
([(1,6),(2,6),(3,4),(4,6),(6,5)],7)=>14
([(0,6),(1,6),(2,3),(3,6),(6,4),(6,5)],7)=>4
([(1,6),(2,6),(3,4),(4,5)],7)=>14
([(1,6),(2,6),(3,5),(5,4),(6,3)],7)=>7
([(1,5),(2,5),(3,4),(4,6),(5,6)],7)=>35
([(0,5),(1,5),(2,3),(3,6),(5,6),(6,4)],7)=>10
([(0,6),(1,6),(2,3),(3,5),(6,4)],7)=>7
([(0,6),(1,6),(4,2),(5,4),(6,3),(6,5)],7)=>4
([(0,5),(1,5),(2,3),(3,6),(5,4),(5,6)],7)=>48
([(1,6),(2,6),(3,4),(4,5),(4,6)],7)=>98
([(0,6),(1,6),(2,3),(3,5),(3,6),(6,4)],7)=>85
([(0,3),(1,6),(2,6),(3,5),(3,6),(5,4)],7)=>238
([(0,6),(1,6),(2,3),(3,4),(3,6),(4,5),(6,5)],7)=>28
([(0,3),(1,6),(2,6),(3,4),(3,5)],7)=>14
([(0,6),(1,6),(4,5),(5,2),(5,3),(6,4)],7)=>2
([(0,5),(1,5),(2,3),(3,4),(3,6),(5,6)],7)=>161
([(0,4),(1,4),(2,3),(3,5),(3,6),(4,5),(4,6)],7)=>10
([(0,6),(1,5),(4,6),(5,2),(5,3),(5,4)],7)=>28
([(0,5),(3,6),(4,6),(5,1),(5,2),(5,3),(5,4)],7)=>10
([(0,3),(1,6),(2,6),(3,4),(3,5),(3,6)],7)=>238
([(0,3),(1,6),(2,6),(3,4),(3,5),(5,6)],7)=>319
([(0,6),(1,5),(3,6),(4,6),(5,2),(5,3),(5,4)],7)=>23
([(0,5),(2,6),(3,6),(4,6),(5,1),(5,2),(5,3),(5,4)],7)=>15
([(0,3),(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7)=>6
([(0,6),(1,5),(2,6),(3,6),(4,6),(5,2),(5,3),(5,4)],7)=>18
([(0,5),(1,6),(2,6),(3,6),(4,6),(5,1),(5,2),(5,3),(5,4)],7)=>4
([(1,3),(2,6),(3,5),(4,6),(5,4)],7)=>35
([(0,6),(1,5),(2,6),(4,2),(5,4),(6,3)],7)=>5
([(1,4),(2,6),(3,6),(4,5),(5,2),(5,3)],7)=>7
([(0,4),(1,6),(2,6),(4,5),(5,1),(5,2),(6,3)],7)=>2
([(1,6),(2,6),(3,4),(4,5),(5,6)],7)=>35
([(0,6),(1,6),(2,3),(3,5),(5,6),(6,4)],7)=>5
([(0,3),(1,6),(2,6),(3,5),(5,4)],7)=>14
([(0,6),(1,6),(3,4),(4,2),(5,3),(6,5)],7)=>2
([(0,5),(1,5),(2,3),(3,4),(4,6),(5,6)],7)=>12
([(0,6),(1,4),(3,6),(4,5),(5,2),(5,3)],7)=>17
([(0,4),(2,6),(3,6),(4,5),(5,1),(5,2),(5,3)],7)=>8
([(0,3),(1,6),(2,6),(3,5),(5,4),(5,6)],7)=>48
([(1,6),(2,6),(3,5),(4,5)],7)=>14
([(1,6),(2,6),(3,5),(4,5),(4,6)],7)=>910
([(0,6),(1,6),(2,5),(3,5),(3,6),(5,4)],7)=>322
([(0,6),(1,6),(2,4),(3,4),(3,6),(4,5),(6,5)],7)=>260
([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>98
([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(5,4)],7)=>238
([(0,6),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(6,5)],7)=>28
([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(6,4)],7)=>170
([(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)=>196
([(0,6),(1,5),(2,5),(2,6),(3,5),(3,6),(6,4)],7)=>189
([(0,6),(1,5),(2,5),(2,6),(3,5),(3,6),(5,4),(6,4)],7)=>56
([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>70
([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(5,4)],7)=>30
([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(5,4),(6,4)],7)=>60
([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(6,4)],7)=>39
([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>14
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(6,4)],7)=>12
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(5,4),(6,4)],7)=>4
([(0,6),(1,6),(2,5),(3,5),(3,6),(6,4)],7)=>408
([(1,6),(2,5),(3,5),(4,6),(5,4)],7)=>35
([(1,5),(2,5),(3,6),(4,6),(5,3),(5,4)],7)=>7
([(0,6),(1,5),(2,5),(4,6),(5,4),(6,3)],7)=>5
([(0,6),(1,6),(2,5),(3,5),(5,4),(6,2),(6,3)],7)=>2
([(1,6),(2,6),(3,5),(4,5),(5,6)],7)=>35
([(0,6),(1,6),(2,5),(3,5),(5,6),(6,4)],7)=>10
([(0,6),(1,6),(2,5),(3,5),(6,4)],7)=>14
([(0,6),(1,5),(2,5),(4,6),(5,3),(5,4)],7)=>17
([(0,6),(1,6),(3,5),(4,5),(6,2),(6,3),(6,4)],7)=>8
([(0,6),(1,6),(2,5),(3,5),(5,4),(5,6)],7)=>48
([(0,5),(1,5),(2,4),(3,4),(4,6),(5,6)],7)=>12
([(0,6),(1,6),(2,5),(3,4)],7)=>14
([(0,6),(1,6),(2,3),(4,5),(6,4)],7)=>14
([(0,6),(1,6),(4,3),(5,2),(6,4),(6,5)],7)=>4
([(0,6),(1,6),(2,5),(3,4),(6,3),(6,5)],7)=>10
([(0,6),(1,5),(2,5),(3,4),(5,6)],7)=>56
([(0,4),(1,4),(2,6),(3,5),(4,5),(4,6)],7)=>240
([(0,6),(1,5),(2,5),(3,4),(5,6),(6,3)],7)=>8
([(0,4),(1,4),(2,5),(3,6),(4,6),(6,5)],7)=>48
([(0,6),(1,6),(2,5),(3,4),(3,6)],7)=>28
([(0,6),(1,6),(2,3),(2,6),(4,5),(6,4)],7)=>10
([(0,6),(1,6),(2,5),(3,4),(3,6),(6,5)],7)=>640
([(0,6),(1,6),(2,5),(3,4),(3,6),(4,5)],7)=>630
([(0,6),(1,6),(2,3),(2,6),(3,5),(4,5),(6,4)],7)=>18
([(0,6),(1,5),(2,5),(3,4),(3,5),(4,6),(5,6)],7)=>24
([(0,6),(1,6),(2,5),(2,6),(3,4),(3,6)],7)=>924
([(0,6),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5)],7)=>1020
([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5)],7)=>14070
([(0,6),(1,6),(2,4),(2,6),(3,4),(3,5),(6,5)],7)=>660
([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>5670
([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(4,6)],7)=>138040
([(0,6),(1,6),(2,5),(3,4),(3,6),(5,6)],7)=>84
([(0,6),(1,6),(2,5),(2,6),(3,4),(4,5)],7)=>1320
([(0,6),(1,6),(2,5),(2,6),(3,4),(4,5),(4,6)],7)=>144
([(0,5),(1,5),(2,6),(3,4),(3,6)],7)=>42
([(0,5),(1,4),(2,4),(2,6),(3,5),(3,6)],7)=>1320
([(0,6),(1,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>9570
([(0,6),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>35530
([(0,5),(1,4),(1,5),(2,4),(2,6),(3,6),(5,3)],7)=>154
([(0,6),(1,5),(2,4),(2,6),(3,4),(3,5),(5,6)],7)=>560
([(0,6),(1,5),(2,5),(3,4),(3,6),(5,3)],7)=>22
([(0,4),(1,5),(2,5),(3,4),(3,6),(5,6)],7)=>924
([(0,6),(1,5),(1,6),(2,4),(3,4),(4,5),(4,6)],7)=>88
([(0,5),(1,5),(2,3),(2,6),(4,6),(5,4)],7)=>42
([(0,6),(1,6),(3,5),(4,2),(4,5),(6,3),(6,4)],7)=>6
([(0,5),(1,5),(2,4),(2,6),(3,6),(5,3),(5,4)],7)=>90
([(0,6),(1,5),(2,5),(3,4),(3,6),(5,6)],7)=>168
([(0,6),(1,6),(2,5),(3,4),(3,5),(3,6)],7)=>1428
([(0,6),(1,6),(2,5),(3,4),(3,5),(4,6)],7)=>14700
([(0,6),(1,5),(2,3),(2,5),(3,6),(4,6),(5,4)],7)=>42
([(0,5),(1,2),(1,5),(2,6),(3,6),(4,6),(5,3),(5,4)],7)=>40
([(0,6),(1,6),(2,5),(3,4),(3,5),(4,6),(5,6)],7)=>18
([(0,4),(1,4),(2,5),(2,6),(3,5),(3,6)],7)=>14
([(0,5),(1,4),(1,6),(2,4),(2,6),(3,5),(3,6)],7)=>11730
([(0,5),(0,6),(1,5),(1,6),(2,4),(3,4),(3,5),(3,6)],7)=>408
([(0,6),(1,4),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>378
([(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>30
([(0,5),(0,6),(1,5),(1,6),(2,4),(3,4),(3,5),(4,6)],7)=>574
([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6)],7)=>80
([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5)],7)=>630
([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5)],7)=>40
([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6)],7)=>1080
([(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>170
([(0,5),(0,6),(1,4),(1,6),(2,4),(2,5),(3,4),(3,5),(3,6)],7)=>90
([(0,5),(0,6),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>1872
([(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>78
([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>12
([(0,6),(1,5),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6)],7)=>520
([(0,5),(0,6),(1,4),(1,6),(2,4),(2,6),(3,5),(4,3)],7)=>70
([(0,4),(1,4),(2,5),(2,6),(3,5),(3,6),(4,3)],7)=>10
([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(6,2),(6,3)],7)=>2
([(0,5),(1,5),(2,4),(2,6),(3,4),(3,6),(5,6)],7)=>322
([(0,5),(0,6),(1,5),(1,6),(2,4),(3,4),(4,5),(4,6)],7)=>10
([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(3,6)],7)=>322
([(0,6),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>238
([(0,6),(1,4),(1,5),(2,4),(2,5),(3,6),(5,3)],7)=>46
([(0,5),(0,6),(1,5),(1,6),(2,4),(3,4),(6,2),(6,3)],7)=>10
([(0,3),(1,5),(1,6),(2,5),(2,6),(4,3),(5,4),(6,4)],7)=>12
([(0,5),(0,6),(1,5),(1,6),(2,4),(3,4),(5,3),(6,2)],7)=>4
([(0,5),(0,6),(1,5),(1,6),(2,3),(4,3),(5,4),(6,2),(6,4)],7)=>6
([(0,5),(0,6),(1,5),(1,6),(3,2),(4,2),(5,3),(5,4),(6,3),(6,4)],7)=>2
([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(5,6)],7)=>638
([(0,6),(1,4),(1,5),(2,4),(2,5),(3,6),(4,6),(5,3)],7)=>36
([(0,4),(0,5),(1,4),(1,5),(2,6),(3,6),(4,6),(5,2),(5,3)],7)=>8
([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)=>6
([(0,6),(1,5),(2,3),(2,5),(4,6),(5,4)],7)=>84
([(0,6),(1,2),(1,6),(3,5),(4,5),(6,3),(6,4)],7)=>22
([(0,6),(1,6),(2,5),(3,4),(3,5),(5,6)],7)=>38114
([(0,6),(1,6),(2,4),(3,5),(5,6)],7)=>28
([(0,6),(1,6),(2,3),(3,6),(4,5),(6,4)],7)=>4
([(0,6),(1,6),(2,5),(3,4),(4,6),(6,5)],7)=>24
([(0,6),(1,6),(2,5),(3,4),(4,6),(5,6)],7)=>6
([(0,6),(1,5),(2,5),(3,4),(4,6)],7)=>42
([(0,6),(1,6),(2,5),(3,4),(4,5),(6,3)],7)=>12
([(0,5),(1,5),(2,3),(3,6),(4,6),(5,4)],7)=>6
([(0,6),(1,6),(2,5),(3,5),(4,3),(6,2),(6,4)],7)=>6
([(0,5),(1,5),(2,4),(3,6),(4,6),(5,3),(5,4)],7)=>40
([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)=>12
([(0,6),(1,6),(2,5),(3,4),(4,5),(4,6)],7)=>34086
([(0,6),(1,5),(2,3),(3,6),(4,5),(6,4)],7)=>18
([(0,6),(1,2),(2,6),(3,5),(4,5),(6,3),(6,4)],7)=>6
([(0,6),(1,6),(2,5),(3,4),(4,5),(5,6)],7)=>18
([(3,6),(4,5)],7)=>7
([(3,6),(4,5),(4,6)],7)=>21
([(2,6),(3,4),(3,6),(4,5)],7)=>28
([(1,6),(2,3),(2,6),(3,4),(3,5)],7)=>35
([(0,6),(1,5),(1,6),(5,2),(5,3),(5,4)],7)=>126
([(0,6),(1,4),(1,6),(4,2),(4,3),(4,5),(6,5)],7)=>560
([(0,6),(1,3),(1,6),(3,2),(3,4),(3,5),(6,4),(6,5)],7)=>48
([(0,6),(1,2),(1,6),(2,3),(2,4),(2,5),(6,3),(6,4),(6,5)],7)=>6
([(1,5),(2,3),(2,5),(3,4),(3,6),(5,6)],7)=>28
([(1,4),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7)=>7
([(0,5),(1,4),(1,5),(4,3),(4,6),(5,6),(6,2)],7)=>48
([(0,6),(1,5),(1,6),(5,2),(5,3),(6,4)],7)=>161
([(0,6),(1,4),(1,6),(4,3),(4,5),(6,2),(6,5)],7)=>9
([(0,6),(1,3),(1,6),(3,4),(3,5),(6,2),(6,4),(6,5)],7)=>33
([(2,5),(3,4),(3,5),(4,6),(5,6)],7)=>42
([(1,5),(2,3),(2,5),(3,6),(5,6),(6,4)],7)=>7
([(0,5),(1,4),(1,5),(4,6),(5,6),(6,2),(6,3)],7)=>6
([(1,6),(2,3),(2,6),(3,5),(6,4)],7)=>49
([(1,5),(2,3),(2,5),(3,6),(5,4),(5,6)],7)=>35
([(0,6),(1,5),(1,6),(5,2),(6,3),(6,4)],7)=>48
([(0,6),(1,4),(1,6),(4,5),(6,2),(6,3),(6,5)],7)=>84
([(1,6),(2,3),(2,6),(3,5),(5,4)],7)=>35
([(1,5),(2,3),(2,5),(3,4),(4,6),(5,6)],7)=>70
([(0,5),(1,4),(1,5),(3,6),(4,3),(5,6),(6,2)],7)=>20
([(0,6),(1,5),(1,6),(4,2),(5,4),(6,3)],7)=>161
([(0,6),(1,3),(1,6),(3,5),(5,4),(6,2),(6,5)],7)=>33
([(0,6),(1,4),(1,6),(3,5),(4,3),(6,2),(6,5)],7)=>63
([(0,6),(1,4),(1,6),(4,5),(5,2),(5,3)],7)=>42
([(0,6),(1,3),(1,6),(3,4),(4,2),(4,5),(6,5)],7)=>60
([(0,6),(1,2),(1,6),(2,3),(3,4),(3,5),(6,4),(6,5)],7)=>20
([(3,5),(3,6),(4,5),(4,6)],7)=>7
([(2,5),(2,6),(3,5),(3,6),(6,4)],7)=>42
([(1,5),(1,6),(2,5),(2,6),(6,3),(6,4)],7)=>28
([(0,5),(0,6),(1,5),(1,6),(6,2),(6,3),(6,4)],7)=>30
([(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)=>14
([(1,4),(1,5),(2,4),(2,5),(4,6),(5,6),(6,3)],7)=>7
([(1,5),(1,6),(2,5),(2,6),(5,4),(6,3)],7)=>14
([(1,4),(1,6),(2,4),(2,6),(4,5),(6,3),(6,5)],7)=>7
([(1,5),(1,6),(2,5),(2,6),(5,3),(5,4),(6,3),(6,4)],7)=>7
([(0,5),(0,6),(1,5),(1,6),(5,4),(6,2),(6,3)],7)=>10
([(0,5),(0,6),(1,5),(1,6),(5,4),(6,2),(6,3),(6,4)],7)=>20
([(0,5),(0,6),(1,5),(1,6),(5,3),(5,4),(6,2),(6,4)],7)=>12
([(0,5),(0,6),(1,5),(1,6),(5,3),(5,4),(6,2),(6,3),(6,4)],7)=>14
([(0,5),(0,6),(1,5),(1,6),(5,2),(5,3),(5,4),(6,2),(6,3),(6,4)],7)=>6
([(1,5),(1,6),(2,5),(2,6),(3,4)],7)=>7
([(1,6),(2,4),(2,5),(3,4),(3,5),(3,6)],7)=>49
([(0,4),(1,5),(1,6),(2,4),(2,5),(2,6),(6,3)],7)=>126
([(0,4),(1,5),(1,6),(2,4),(2,5),(2,6),(5,3),(6,3)],7)=>126
([(0,6),(1,4),(1,5),(2,4),(2,5),(2,6),(5,3),(6,3)],7)=>264
([(0,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)=>42
([(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>21
([(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(5,3)],7)=>462
([(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,6),(3,5),(4,5)],7)=>154
([(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)=>18
([(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,6),(4,5),(6,5)],7)=>184
([(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(6,3)],7)=>85
([(0,6),(1,4),(1,5),(2,4),(2,5),(2,6),(6,3)],7)=>80
([(1,5),(1,6),(2,5),(2,6),(3,4),(6,3)],7)=>14
([(0,5),(0,6),(1,5),(1,6),(4,3),(5,4),(6,2)],7)=>10
([(0,5),(0,6),(1,5),(1,6),(2,3),(5,4),(6,2),(6,4)],7)=>20
([(0,5),(0,6),(1,5),(1,6),(4,2),(5,3),(5,4),(6,3),(6,4)],7)=>6
([(0,5),(0,6),(1,5),(1,6),(2,4),(5,2),(5,3),(6,3),(6,4)],7)=>30
([(0,5),(0,6),(1,5),(1,6),(4,3),(5,4),(6,2),(6,4)],7)=>14
([(0,5),(0,6),(1,5),(1,6),(3,4),(5,3),(6,2),(6,4)],7)=>20
([(1,6),(2,4),(2,5),(3,4),(3,5),(5,6)],7)=>98
([(1,4),(1,5),(2,4),(2,5),(3,6),(4,6),(5,3)],7)=>7
([(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)=>35
([(0,6),(1,4),(1,5),(2,4),(2,5),(4,6),(5,6),(6,3)],7)=>5
([(0,5),(1,4),(1,6),(2,4),(2,6),(4,5),(6,3)],7)=>56
([(0,6),(1,4),(1,5),(2,4),(2,5),(4,6),(5,3),(5,6)],7)=>56
([(0,6),(1,4),(1,5),(2,4),(2,5),(5,6),(6,3)],7)=>40
([(0,4),(1,5),(1,6),(2,5),(2,6),(4,3),(5,4),(6,3)],7)=>28
([(0,5),(0,6),(1,5),(1,6),(2,4),(6,3)],7)=>42
([(0,5),(0,6),(1,5),(1,6),(4,3),(6,2),(6,4)],7)=>30
([(0,5),(0,6),(1,5),(1,6),(3,4),(5,2),(5,3),(6,4)],7)=>12
([(0,5),(1,4),(1,6),(2,4),(2,6),(6,3),(6,5)],7)=>310
([(0,4),(0,5),(1,4),(1,5),(2,3),(4,6),(5,6)],7)=>14
([(0,4),(1,5),(1,6),(2,5),(2,6),(5,3),(6,3),(6,4)],7)=>160
([(0,6),(1,3),(1,4),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7)=>22
([(1,5),(1,6),(2,5),(2,6),(3,4),(3,6)],7)=>49
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,6),(6,4)],7)=>378
([(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5)],7)=>28
([(0,5),(0,6),(1,4),(1,6),(2,4),(2,6),(4,5),(6,3)],7)=>136
([(0,5),(0,6),(1,4),(1,6),(2,4),(2,6),(4,5),(5,3)],7)=>56
([(0,3),(0,6),(1,3),(1,6),(2,5),(2,6),(3,5),(5,4),(6,4)],7)=>24
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,6),(5,4)],7)=>408
([(0,4),(0,6),(1,4),(1,6),(2,3),(2,6),(4,5),(6,5)],7)=>140
([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(5,3),(5,4)],7)=>126
([(0,3),(0,6),(1,3),(1,6),(2,4),(2,6),(3,4),(3,5),(6,5)],7)=>30
([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>21
([(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(6,3)],7)=>30
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(2,6),(5,4),(6,4)],7)=>10
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4)],7)=>238
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(6,4)],7)=>22
([(0,4),(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)=>18
([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(4,6)],7)=>182
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(3,6),(5,4)],7)=>182
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(3,6),(5,4),(6,4)],7)=>52
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(3,6),(6,4)],7)=>68
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,6),(3,4)],7)=>322
([(0,4),(0,6),(1,4),(1,6),(2,3),(2,6),(3,5),(6,5)],7)=>2090
([(0,4),(0,6),(1,4),(1,6),(2,3),(2,6),(3,5),(4,5)],7)=>550
([(0,4),(0,5),(1,4),(1,5),(2,3),(2,5),(3,6),(4,6),(5,6)],7)=>42
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(3,4),(3,6)],7)=>60
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(3,4),(3,6),(5,4)],7)=>504
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(3,4),(4,6)],7)=>154
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4)],7)=>14
([(0,5),(0,6),(1,5),(1,6),(4,2),(4,3),(6,4)],7)=>10
([(0,5),(0,6),(1,5),(1,6),(4,2),(4,3),(5,4),(6,4)],7)=>2
([(0,5),(0,6),(1,5),(1,6),(3,2),(3,4),(5,3),(6,4)],7)=>14
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(5,2),(6,3),(6,4)],7)=>6
([(0,4),(0,5),(1,4),(1,5),(2,3),(2,6),(5,6)],7)=>1554
([(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(6,3),(6,4)],7)=>40
([(0,4),(0,5),(1,4),(1,5),(2,3),(2,6),(4,6),(5,6)],7)=>42
([(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(5,4),(6,3)],7)=>40
([(0,5),(0,6),(1,3),(1,4),(2,3),(2,4),(3,6),(4,5),(4,6)],7)=>48
([(0,5),(0,6),(1,3),(1,4),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7)=>10
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6)],7)=>322
([(0,4),(0,6),(1,4),(1,6),(2,3),(2,5),(2,6),(4,5)],7)=>216
([(0,3),(0,6),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5)],7)=>56
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>238
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(4,6)],7)=>1054
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(3,6),(4,6)],7)=>308
([(0,5),(0,6),(1,2),(1,4),(3,5),(3,6),(4,3)],7)=>46
([(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(4,1),(4,2)],7)=>12
([(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(3,2),(4,1)],7)=>4
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(4,6)],7)=>14858
([(0,4),(0,6),(1,4),(1,6),(2,3),(2,5),(3,6),(4,5)],7)=>112
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(4,5),(4,6)],7)=>56
([(0,5),(0,6),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,2)],7)=>30
([(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,1),(4,2)],7)=>8
([(0,5),(0,6),(1,2),(1,4),(2,6),(3,5),(3,6),(4,3)],7)=>95
([(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(3,6),(4,1),(4,2)],7)=>40
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(3,6),(4,6)],7)=>322
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(3,6),(4,5)],7)=>140
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(3,6),(4,5),(4,6)],7)=>70
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7)=>10
([(1,5),(1,6),(2,5),(2,6),(3,4),(4,6)],7)=>98
([(0,5),(0,6),(1,5),(1,6),(2,3),(3,6),(6,4)],7)=>170
([(0,5),(0,6),(1,5),(1,6),(2,3),(3,6),(5,4)],7)=>238
([(0,4),(0,6),(1,4),(1,6),(2,3),(3,6),(4,5),(6,5)],7)=>28
([(1,5),(1,6),(2,5),(2,6),(3,4),(4,5),(4,6)],7)=>14
([(0,5),(0,6),(1,5),(1,6),(2,4),(4,5),(4,6),(6,3)],7)=>12
([(0,5),(0,6),(1,5),(1,6),(2,3),(3,5),(3,6),(5,4),(6,4)],7)=>4
([(0,5),(0,6),(1,5),(1,6),(2,3),(3,4)],7)=>7
([(0,5),(0,6),(1,5),(1,6),(3,4),(4,2),(6,3)],7)=>10
([(0,5),(0,6),(1,5),(1,6),(2,3),(4,2),(5,4),(6,4)],7)=>2
([(0,5),(0,6),(1,5),(1,6),(3,4),(4,2),(5,3),(6,4)],7)=>6
([(0,5),(0,6),(1,5),(1,6),(2,3),(3,4),(5,2),(6,4)],7)=>4
([(0,4),(0,5),(1,4),(1,5),(2,3),(3,6),(5,6)],7)=>638
([(0,4),(0,5),(1,4),(1,5),(2,3),(3,6),(4,6),(5,6)],7)=>6
([(0,5),(0,6),(1,4),(3,5),(3,6),(4,2),(4,3)],7)=>40
([(0,4),(2,5),(2,6),(3,5),(3,6),(4,1),(4,2),(4,3)],7)=>5
([(0,5),(0,6),(1,5),(1,6),(2,3),(3,4),(3,6)],7)=>80
([(0,4),(0,6),(1,4),(1,6),(2,3),(3,5),(3,6),(4,5)],7)=>630
([(0,5),(0,6),(1,5),(1,6),(2,3),(3,4),(3,5),(3,6)],7)=>85
([(0,5),(0,6),(1,5),(1,6),(2,3),(3,4),(3,6),(4,5)],7)=>630
([(0,5),(0,6),(1,5),(1,6),(2,3),(3,4),(4,6)],7)=>322
([(0,5),(0,6),(1,4),(2,6),(3,5),(3,6),(4,2),(4,3)],7)=>24
([(0,4),(1,6),(2,5),(2,6),(3,5),(3,6),(4,1),(4,2),(4,3)],7)=>14
([(0,5),(0,6),(1,5),(1,6),(2,3),(3,4),(4,5),(4,6)],7)=>10
([(0,5),(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,2),(4,3)],7)=>10
([(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,1),(4,2),(4,3)],7)=>6
([(2,6),(3,4),(3,6),(6,5)],7)=>49
([(1,6),(2,3),(2,6),(6,4),(6,5)],7)=>140
([(0,6),(1,2),(1,6),(6,3),(6,4),(6,5)],7)=>11
([(2,6),(3,4),(3,5)],7)=>14
([(2,6),(3,4),(3,5),(3,6)],7)=>28
([(1,6),(2,3),(2,4),(2,6),(4,5)],7)=>105
([(0,6),(1,4),(1,5),(1,6),(5,2),(5,3)],7)=>168
([(0,6),(1,3),(1,4),(1,6),(4,2),(4,5),(6,5)],7)=>1540
([(0,6),(1,2),(1,3),(1,6),(3,4),(3,5),(6,4),(6,5)],7)=>56
([(1,5),(2,3),(2,4),(2,5),(4,6),(5,6)],7)=>105
([(0,5),(1,3),(1,4),(1,5),(4,6),(5,6),(6,2)],7)=>28
([(0,6),(1,3),(1,5),(1,6),(5,2),(6,4)],7)=>483
([(0,6),(1,3),(1,4),(1,6),(4,5),(6,2),(6,5)],7)=>516
([(1,5),(2,3),(2,4),(2,5),(3,6),(4,6)],7)=>35
([(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)=>70
([(0,5),(1,2),(1,3),(1,5),(2,6),(3,6),(5,6),(6,4)],7)=>20
([(0,6),(1,3),(1,4),(1,6),(3,5),(4,5),(6,2)],7)=>161
([(0,5),(1,2),(1,3),(1,5),(2,6),(3,6),(5,4),(5,6)],7)=>63
([(0,5),(1,3),(1,4),(1,5),(3,6),(4,6),(6,2)],7)=>42
([(0,6),(1,2),(1,3),(1,6),(2,5),(3,5),(5,4),(6,4)],7)=>30
([(0,6),(1,4),(1,5),(1,6),(4,3),(5,2)],7)=>84
([(0,6),(1,3),(1,4),(1,6),(3,5),(4,2),(4,5)],7)=>126
([(0,6),(1,2),(1,3),(1,6),(2,5),(3,4),(3,5),(6,4)],7)=>105
([(0,4),(1,2),(1,3),(1,4),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>420
([(0,5),(1,3),(1,4),(1,5),(3,6),(4,2),(4,6),(5,6)],7)=>105
([(0,6),(1,2),(1,3),(1,6),(2,4),(2,5),(3,4),(3,5)],7)=>42
([(0,4),(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,6)],7)=>60
([(0,4),(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>20
([(0,6),(1,3),(1,4),(1,6),(3,5),(4,2),(6,5)],7)=>510
([(0,6),(1,2),(1,3),(1,6),(2,5),(3,4),(6,4),(6,5)],7)=>40
([(1,6),(2,3),(2,4),(2,6),(6,5)],7)=>98
([(0,6),(1,2),(1,3),(1,6),(6,4),(6,5)],7)=>48
([(1,6),(2,3),(2,4),(2,5)],7)=>21
([(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>105
([(0,6),(1,3),(1,4),(1,5),(1,6),(5,2)],7)=>84
([(0,6),(1,2),(1,3),(1,4),(1,6),(4,5),(6,5)],7)=>510
([(0,6),(1,2),(1,3),(1,4),(1,6),(3,5),(4,5)],7)=>168
([(0,5),(1,2),(1,3),(1,4),(1,5),(3,6),(4,6),(5,6)],7)=>132
([(0,5),(1,2),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6)],7)=>126
([(0,5),(1,2),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,6)],7)=>90
([(0,6),(1,2),(1,3),(1,4),(1,6),(6,5)],7)=>483
([(0,6),(1,2),(1,3),(1,4),(1,5)],7)=>28
([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>84
([(0,2),(0,3),(0,4),(0,6),(5,1),(6,5)],7)=>6
([(0,6),(1,2),(1,3),(1,4),(1,5),(5,6)],7)=>78
([(0,2),(0,3),(0,4),(0,5),(1,6),(4,6),(5,1)],7)=>18
([(0,6),(1,2),(1,3),(1,4),(1,5),(4,6),(5,6)],7)=>228
([(0,2),(0,3),(0,4),(0,5),(1,6),(3,6),(4,6),(5,1)],7)=>24
([(0,6),(1,2),(1,3),(1,4),(1,5),(3,6),(4,6),(5,6)],7)=>90
([(0,2),(0,3),(0,4),(0,5),(1,6),(2,6),(3,6),(4,6),(5,1)],7)=>5
([(0,6),(1,2),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,6)],7)=>24
([(0,5),(1,2),(1,3),(1,4),(1,6),(5,6)],7)=>42
([(0,4),(1,2),(1,3),(1,5),(1,6),(4,5),(4,6)],7)=>238
([(0,3),(1,2),(1,4),(1,5),(1,6),(3,4),(3,5),(3,6)],7)=>30
([(0,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>12
([(1,3),(1,4),(1,6),(5,2),(6,5)],7)=>35
([(0,3),(0,4),(0,5),(5,6),(6,1),(6,2)],7)=>6
([(1,6),(2,3),(2,4),(2,5),(5,6)],7)=>385
([(0,6),(1,2),(1,3),(1,4),(4,6),(6,5)],7)=>319
([(1,2),(1,4),(1,5),(3,6),(4,6),(5,3)],7)=>35
([(0,3),(0,4),(0,5),(1,6),(4,6),(5,1),(6,2)],7)=>18
([(1,6),(2,3),(2,4),(2,5),(4,6),(5,6)],7)=>70
([(0,6),(1,2),(1,3),(1,4),(3,6),(4,6),(6,5)],7)=>23
([(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,2)],7)=>14
([(0,3),(0,4),(0,5),(1,6),(3,6),(4,6),(5,1),(6,2)],7)=>4
([(1,6),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)=>35
([(0,6),(1,2),(1,3),(1,4),(2,6),(3,6),(4,6),(6,5)],7)=>15
([(0,6),(1,3),(1,4),(1,5),(3,6),(4,6),(5,2)],7)=>228
([(0,6),(1,2),(1,3),(1,4),(2,6),(3,6),(4,5),(6,5)],7)=>20
([(0,3),(0,4),(0,5),(2,6),(3,6),(4,6),(5,1),(5,2)],7)=>110
([(0,6),(1,3),(1,4),(1,5),(3,6),(4,6),(5,2),(5,6)],7)=>132
([(0,6),(1,3),(1,4),(1,5),(4,6),(5,2)],7)=>78
([(0,6),(1,2),(1,3),(1,4),(3,6),(4,5),(6,5)],7)=>63
([(0,3),(0,4),(0,5),(2,6),(4,6),(5,1),(5,2)],7)=>72
([(0,6),(1,3),(1,4),(1,5),(4,6),(5,2),(5,6)],7)=>990
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Description
The order of promotion on the set of linear extensions of a poset.
References
[1] Stanley, R. P. Promotion and evacuation MathSciNet:2515772
Code
def statistic(P): from sage.combinat.cyclic_sieving_phenomenon import orbit_decomposition return lcm(len(o) for o in orbit_decomposition(P.linear_extensions(), lambda T: T.promotion()))
Created
Mar 23, 2022 at 07:54 by Martin Rubey
Updated
Mar 23, 2022 at 07:54 by Martin Rubey
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