Values
=>
Cc0014;cc-rep
([],1)=>1
([],2)=>1
([(0,1)],2)=>2
([],3)=>1
([(1,2)],3)=>2
([(0,1),(0,2)],3)=>3
([(0,2),(2,1)],3)=>6
([(0,2),(1,2)],3)=>4
([],4)=>1
([(2,3)],4)=>2
([(1,2),(1,3)],4)=>3
([(0,1),(0,2),(0,3)],4)=>4
([(0,2),(0,3),(3,1)],4)=>8
([(0,1),(0,2),(1,3),(2,3)],4)=>16
([(1,2),(2,3)],4)=>6
([(0,3),(3,1),(3,2)],4)=>12
([(1,3),(2,3)],4)=>4
([(0,3),(1,3),(3,2)],4)=>18
([(0,3),(1,3),(2,3)],4)=>8
([(0,3),(1,2)],4)=>4
([(0,3),(1,2),(1,3)],4)=>6
([(0,2),(0,3),(1,2),(1,3)],4)=>9
([(0,3),(2,1),(3,2)],4)=>24
([(0,3),(1,2),(2,3)],4)=>12
([],5)=>1
([(3,4)],5)=>2
([(2,3),(2,4)],5)=>3
([(1,2),(1,3),(1,4)],5)=>4
([(0,1),(0,2),(0,3),(0,4)],5)=>5
([(0,2),(0,3),(0,4),(4,1)],5)=>10
([(0,1),(0,2),(0,3),(2,4),(3,4)],5)=>20
([(0,1),(0,2),(0,3),(1,4),(2,4),(3,4)],5)=>40
([(1,3),(1,4),(4,2)],5)=>8
([(0,3),(0,4),(4,1),(4,2)],5)=>15
([(1,2),(1,3),(2,4),(3,4)],5)=>16
([(0,2),(0,3),(2,4),(3,4),(4,1)],5)=>90
([(0,3),(0,4),(3,2),(4,1)],5)=>20
([(0,2),(0,3),(2,4),(3,1),(3,4)],5)=>30
([(0,1),(0,2),(1,3),(1,4),(2,3),(2,4)],5)=>45
([(2,3),(3,4)],5)=>6
([(1,4),(4,2),(4,3)],5)=>12
([(0,4),(4,1),(4,2),(4,3)],5)=>20
([(2,4),(3,4)],5)=>4
([(1,4),(2,4),(4,3)],5)=>18
([(0,4),(1,4),(4,2),(4,3)],5)=>48
([(1,4),(2,4),(3,4)],5)=>8
([(0,4),(1,4),(2,4),(4,3)],5)=>54
([(0,4),(1,4),(2,4),(3,4)],5)=>16
([(0,4),(1,4),(2,3)],5)=>8
([(0,4),(1,3),(2,3),(2,4)],5)=>12
([(0,4),(1,3),(1,4),(2,3),(2,4)],5)=>18
([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4)],5)=>27
([(0,4),(1,4),(2,3),(4,2)],5)=>96
([(0,4),(1,3),(2,3),(3,4)],5)=>36
([(0,4),(1,4),(2,3),(2,4)],5)=>12
([(0,4),(1,4),(2,3),(3,4)],5)=>24
([(1,4),(2,3)],5)=>4
([(1,4),(2,3),(2,4)],5)=>6
([(0,4),(1,2),(1,4),(2,3)],5)=>16
([(0,3),(1,2),(1,3),(2,4),(3,4)],5)=>48
([(1,3),(1,4),(2,3),(2,4)],5)=>9
([(0,3),(0,4),(1,3),(1,4),(4,2)],5)=>32
([(0,3),(0,4),(1,3),(1,4),(3,2),(4,2)],5)=>64
([(0,4),(1,2),(1,4),(4,3)],5)=>24
([(0,4),(1,2),(1,3)],5)=>6
([(0,4),(1,2),(1,3),(1,4)],5)=>8
([(0,2),(0,4),(3,1),(4,3)],5)=>30
([(0,4),(1,2),(1,3),(3,4)],5)=>16
([(0,2),(0,3),(1,4),(2,4),(3,1)],5)=>60
([(0,4),(1,2),(1,3),(2,4),(3,4)],5)=>32
([(0,3),(0,4),(1,2),(1,4)],5)=>9
([(0,3),(0,4),(1,2),(1,3),(1,4)],5)=>12
([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4)],5)=>16
([(0,3),(0,4),(1,2),(1,3),(2,4)],5)=>24
([(0,3),(1,2),(1,4),(3,4)],5)=>18
([(0,3),(0,4),(1,2),(2,3),(2,4)],5)=>36
([(1,4),(3,2),(4,3)],5)=>24
([(0,3),(3,4),(4,1),(4,2)],5)=>60
([(1,4),(2,3),(3,4)],5)=>12
([(0,4),(1,2),(2,4),(4,3)],5)=>72
([(0,3),(1,4),(4,2)],5)=>12
([(0,4),(3,2),(4,1),(4,3)],5)=>40
([(0,4),(1,2),(2,3),(2,4)],5)=>24
([(0,4),(2,3),(3,1),(4,2)],5)=>120
([(0,3),(1,2),(2,4),(3,4)],5)=>36
([(0,4),(1,2),(2,3),(3,4)],5)=>48
([(0,3),(1,4),(2,4),(3,1),(3,2)],5)=>80
([],6)=>1
([(4,5)],6)=>2
([(3,4),(3,5)],6)=>3
([(2,3),(2,4),(2,5)],6)=>4
([(1,2),(1,3),(1,4),(1,5)],6)=>5
([(0,1),(0,2),(0,3),(0,4),(0,5)],6)=>6
([(0,2),(0,3),(0,4),(0,5),(5,1)],6)=>12
([(0,1),(0,2),(0,3),(0,4),(3,5),(4,5)],6)=>24
([(0,1),(0,2),(0,3),(0,4),(2,5),(3,5),(4,5)],6)=>48
([(0,1),(0,2),(0,3),(0,4),(1,5),(2,5),(3,5),(4,5)],6)=>96
([(1,3),(1,4),(1,5),(5,2)],6)=>10
([(0,3),(0,4),(0,5),(5,1),(5,2)],6)=>18
([(1,2),(1,3),(1,4),(3,5),(4,5)],6)=>20
([(1,2),(1,3),(1,4),(2,5),(3,5),(4,5)],6)=>40
([(0,2),(0,3),(0,4),(2,5),(3,5),(4,5),(5,1)],6)=>324
([(0,2),(0,3),(0,4),(2,5),(3,5),(4,1)],6)=>48
([(0,1),(0,2),(0,3),(1,5),(2,4),(3,4),(3,5)],6)=>72
([(0,1),(0,2),(0,3),(1,5),(2,4),(2,5),(3,4),(3,5)],6)=>108
([(0,1),(0,2),(0,3),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6)=>162
([(0,2),(0,3),(0,4),(2,5),(3,5),(4,1),(4,5)],6)=>72
([(0,1),(0,2),(0,3),(1,5),(2,4),(3,4),(4,5)],6)=>216
([(0,2),(0,3),(0,4),(3,5),(4,5),(5,1)],6)=>108
([(0,3),(0,4),(0,5),(4,2),(5,1)],6)=>24
([(0,2),(0,3),(0,4),(3,5),(4,1),(4,5)],6)=>36
([(0,1),(0,2),(0,3),(2,4),(2,5),(3,4),(3,5)],6)=>54
([(2,3),(2,4),(4,5)],6)=>8
([(1,4),(1,5),(5,2),(5,3)],6)=>15
([(0,4),(0,5),(5,1),(5,2),(5,3)],6)=>24
([(2,3),(2,4),(3,5),(4,5)],6)=>16
([(1,2),(1,3),(2,5),(3,5),(5,4)],6)=>90
([(0,3),(0,4),(3,5),(4,5),(5,1),(5,2)],6)=>288
([(1,4),(1,5),(4,3),(5,2)],6)=>20
([(1,3),(1,4),(3,5),(4,2),(4,5)],6)=>30
([(1,2),(1,3),(2,4),(2,5),(3,4),(3,5)],6)=>45
([(0,2),(0,3),(2,4),(2,5),(3,4),(3,5),(5,1)],6)=>192
([(0,1),(0,2),(1,4),(1,5),(2,4),(2,5),(4,3),(5,3)],6)=>384
([(0,3),(0,4),(3,5),(4,1),(4,5),(5,2)],6)=>144
([(0,4),(0,5),(4,3),(5,1),(5,2)],6)=>36
([(0,3),(0,4),(3,5),(4,1),(4,2),(4,5)],6)=>48
([(0,3),(0,4),(3,2),(3,5),(4,1),(4,5)],6)=>54
([(0,2),(0,3),(2,4),(2,5),(3,1),(3,4),(3,5)],6)=>72
([(0,1),(0,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6)=>96
([(3,4),(4,5)],6)=>6
([(2,3),(3,4),(3,5)],6)=>12
([(1,5),(5,2),(5,3),(5,4)],6)=>20
([(0,5),(5,1),(5,2),(5,3),(5,4)],6)=>30
([(2,3),(3,5),(5,4)],6)=>24
([(1,4),(4,5),(5,2),(5,3)],6)=>60
([(0,4),(4,5),(5,1),(5,2),(5,3)],6)=>120
([(3,5),(4,5)],6)=>4
([(2,5),(3,5),(5,4)],6)=>18
([(1,5),(2,5),(5,3),(5,4)],6)=>48
([(0,5),(1,5),(5,2),(5,3),(5,4)],6)=>100
([(2,5),(3,5),(4,5)],6)=>8
([(1,5),(2,5),(3,5),(5,4)],6)=>54
([(0,5),(1,5),(2,5),(5,3),(5,4)],6)=>192
([(1,5),(2,5),(3,5),(4,5)],6)=>16
([(0,5),(1,5),(2,5),(3,5),(5,4)],6)=>162
([(0,5),(1,5),(2,5),(3,5),(4,5)],6)=>32
([(0,5),(1,5),(2,5),(3,4)],6)=>16
([(0,5),(1,5),(2,5),(3,4),(5,3)],6)=>384
([(0,5),(1,5),(2,5),(3,4),(5,4)],6)=>108
([(0,5),(1,5),(2,5),(3,4),(3,5)],6)=>24
([(0,5),(1,5),(2,5),(3,4),(4,5)],6)=>48
([(1,5),(2,5),(3,4)],6)=>8
([(1,5),(2,4),(3,4),(3,5)],6)=>12
([(0,5),(1,4),(2,4),(2,5),(5,3)],6)=>48
([(0,4),(1,3),(2,3),(2,4),(3,5),(4,5)],6)=>144
([(1,5),(2,4),(2,5),(3,4),(3,5)],6)=>18
([(0,5),(1,4),(1,5),(2,4),(2,5),(4,3)],6)=>64
([(0,5),(1,3),(1,5),(2,3),(2,5),(3,4),(5,4)],6)=>192
([(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6)=>27
([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(5,3)],6)=>128
([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(4,3),(5,3)],6)=>256
([(0,5),(1,4),(1,5),(2,4),(2,5),(5,3)],6)=>96
([(1,5),(2,5),(3,4),(5,3)],6)=>96
([(1,5),(2,4),(3,4),(4,5)],6)=>36
([(0,5),(1,4),(2,4),(4,5),(5,3)],6)=>288
([(0,5),(1,5),(2,3),(5,4)],6)=>36
([(0,5),(1,5),(4,2),(5,3),(5,4)],6)=>200
([(0,5),(1,5),(2,4),(5,3),(5,4)],6)=>96
([(1,5),(2,5),(3,4),(3,5)],6)=>12
([(0,5),(1,5),(2,3),(2,5),(5,4)],6)=>72
([(0,5),(1,5),(2,3),(2,5),(3,4)],6)=>32
([(0,5),(1,5),(2,3),(2,5),(3,4),(5,4)],6)=>144
([(0,5),(1,5),(2,3),(2,4)],6)=>12
([(0,5),(1,5),(4,2),(4,3),(5,4)],6)=>300
([(0,4),(1,4),(2,3),(2,5),(4,5)],6)=>54
([(0,3),(1,3),(2,4),(2,5),(3,4),(3,5)],6)=>144
([(0,5),(1,5),(2,3),(2,4),(2,5)],6)=>16
([(0,5),(1,2),(1,4),(3,5),(4,3)],6)=>60
([(0,3),(0,4),(1,5),(2,5),(4,1),(4,2)],6)=>96
([(0,3),(0,4),(1,5),(2,5),(3,2),(4,1)],6)=>216
([(0,5),(1,5),(2,3),(2,4),(4,5)],6)=>32
([(0,5),(1,3),(1,4),(2,5),(3,5),(4,2)],6)=>120
([(0,3),(0,4),(1,5),(2,5),(3,5),(4,1),(4,2)],6)=>192
([(0,5),(1,5),(2,3),(2,4),(3,5),(4,5)],6)=>64
([(1,5),(2,5),(3,4),(4,5)],6)=>24
([(0,5),(1,5),(2,3),(3,5),(5,4)],6)=>216
([(0,5),(1,5),(2,3),(3,4)],6)=>24
([(0,5),(1,5),(3,2),(4,3),(5,4)],6)=>600
([(0,4),(1,4),(2,3),(3,5),(4,5)],6)=>108
([(0,5),(1,4),(3,5),(4,2),(4,3)],6)=>80
([(0,4),(2,5),(3,5),(4,1),(4,2),(4,3)],6)=>120
([(0,5),(1,5),(2,3),(3,4),(3,5)],6)=>48
([(0,5),(1,5),(2,3),(3,4),(4,5)],6)=>96
([(0,5),(1,4),(2,5),(3,5),(4,2),(4,3)],6)=>160
([(0,4),(1,5),(2,5),(3,5),(4,1),(4,2),(4,3)],6)=>240
([(0,5),(1,5),(2,4),(3,4)],6)=>16
([(0,5),(1,5),(2,4),(3,4),(3,5)],6)=>24
([(0,5),(1,5),(2,4),(2,5),(3,4),(3,5)],6)=>36
([(0,5),(1,4),(2,4),(2,5),(3,4),(3,5)],6)=>36
([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6)=>54
([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6)=>81
([(0,5),(1,4),(2,4),(3,5),(4,3)],6)=>192
([(0,4),(1,4),(2,5),(3,5),(4,2),(4,3)],6)=>400
([(0,5),(1,5),(2,4),(3,4),(4,5)],6)=>72
([(2,5),(3,4)],6)=>4
([(2,5),(3,4),(3,5)],6)=>6
([(1,5),(2,3),(2,5),(3,4)],6)=>16
([(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)=>90
([(0,5),(1,2),(1,5),(2,3),(2,4),(5,3),(5,4)],6)=>180
([(1,4),(2,3),(2,4),(3,5),(4,5)],6)=>48
([(0,4),(1,2),(1,4),(2,5),(4,5),(5,3)],6)=>360
([(0,5),(1,4),(1,5),(4,2),(5,3)],6)=>60
([(0,4),(1,2),(1,4),(2,5),(4,3),(4,5)],6)=>120
([(2,4),(2,5),(3,4),(3,5)],6)=>9
([(1,4),(1,5),(2,4),(2,5),(5,3)],6)=>32
([(0,4),(0,5),(1,4),(1,5),(5,2),(5,3)],6)=>75
([(1,3),(1,4),(2,3),(2,4),(3,5),(4,5)],6)=>64
([(0,4),(0,5),(1,4),(1,5),(4,3),(5,2)],6)=>100
([(0,4),(0,5),(1,4),(1,5),(4,3),(5,2),(5,3)],6)=>150
([(0,4),(0,5),(1,4),(1,5),(4,2),(4,3),(5,2),(5,3)],6)=>225
([(0,4),(0,5),(1,4),(1,5),(2,3)],6)=>18
([(0,4),(0,5),(1,4),(1,5),(2,3),(5,2)],6)=>150
([(0,4),(0,5),(1,4),(1,5),(3,2),(4,3),(5,3)],6)=>450
([(0,4),(0,5),(1,4),(1,5),(2,3),(4,2),(5,3)],6)=>300
([(0,5),(1,3),(1,4),(2,3),(2,4),(4,5)],6)=>64
([(0,5),(1,3),(1,4),(2,3),(2,4),(3,5),(4,5)],6)=>128
([(0,4),(0,5),(1,4),(1,5),(2,3),(2,5)],6)=>27
([(0,4),(0,5),(1,3),(1,5),(2,3),(2,5),(3,4)],6)=>96
([(0,4),(0,5),(1,4),(1,5),(2,3),(2,4),(2,5)],6)=>36
([(0,4),(0,5),(1,4),(1,5),(2,3),(2,4),(3,5)],6)=>72
([(0,4),(0,5),(1,4),(1,5),(2,3),(3,5)],6)=>54
([(0,4),(0,5),(1,4),(1,5),(2,3),(3,4),(3,5)],6)=>108
([(1,5),(2,3),(2,5),(5,4)],6)=>24
([(0,5),(1,2),(1,5),(5,3),(5,4)],6)=>60
([(1,5),(2,3),(2,4)],6)=>6
([(1,5),(2,3),(2,4),(2,5)],6)=>8
([(0,5),(1,3),(1,4),(1,5),(4,2)],6)=>20
([(0,4),(1,2),(1,3),(1,4),(3,5),(4,5)],6)=>60
([(0,4),(1,2),(1,3),(1,4),(2,5),(3,5)],6)=>40
([(0,4),(1,2),(1,3),(1,4),(2,5),(3,5),(4,5)],6)=>120
([(0,5),(1,2),(1,3),(1,5),(5,4)],6)=>30
([(0,5),(1,2),(1,3),(1,4)],6)=>8
([(0,5),(1,2),(1,3),(1,4),(1,5)],6)=>10
([(0,2),(0,3),(0,5),(4,1),(5,4)],6)=>36
([(0,5),(1,2),(1,3),(1,4),(4,5)],6)=>20
([(0,2),(0,3),(0,4),(1,5),(3,5),(4,1)],6)=>72
([(0,5),(1,2),(1,3),(1,4),(3,5),(4,5)],6)=>40
([(0,2),(0,3),(0,4),(1,5),(2,5),(3,5),(4,1)],6)=>144
([(0,5),(1,2),(1,3),(1,4),(2,5),(3,5),(4,5)],6)=>80
([(0,4),(1,2),(1,3),(1,5),(4,5)],6)=>24
([(0,3),(1,2),(1,4),(1,5),(3,4),(3,5)],6)=>48
([(0,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6)=>80
([(1,3),(1,5),(4,2),(5,4)],6)=>30
([(0,3),(0,4),(4,5),(5,1),(5,2)],6)=>72
([(0,4),(0,5),(3,2),(4,3),(5,1)],6)=>72
([(0,2),(0,4),(2,5),(3,1),(4,3),(4,5)],6)=>96
([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)=>288
([(0,3),(0,4),(2,5),(3,2),(4,1),(4,5)],6)=>108
([(0,2),(0,3),(1,4),(2,4),(2,5),(3,1),(3,5)],6)=>144
([(1,5),(2,3),(2,4),(4,5)],6)=>16
([(0,5),(1,2),(1,3),(3,5),(5,4)],6)=>90
([(1,3),(1,4),(2,5),(3,5),(4,2)],6)=>60
([(0,3),(0,4),(1,5),(3,5),(4,1),(5,2)],6)=>432
([(1,5),(2,3),(2,4),(3,5),(4,5)],6)=>32
([(0,5),(1,2),(1,3),(2,5),(3,5),(5,4)],6)=>270
([(0,5),(1,3),(1,4),(3,5),(4,2)],6)=>40
([(0,4),(1,2),(1,3),(2,5),(3,4),(3,5)],6)=>60
([(0,5),(1,2),(1,3),(2,4),(2,5),(3,4),(3,5)],6)=>90
([(0,4),(1,2),(1,3),(2,5),(3,4),(4,5)],6)=>180
([(0,3),(0,4),(2,5),(3,5),(4,1),(4,2)],6)=>96
([(0,5),(1,3),(1,4),(3,5),(4,2),(4,5)],6)=>60
([(0,4),(1,3),(1,5),(5,2)],6)=>16
([(0,3),(0,5),(4,2),(5,1),(5,4)],6)=>48
([(0,5),(1,3),(1,4),(4,2),(4,5)],6)=>30
([(0,4),(1,2),(1,3),(3,5),(4,5)],6)=>48
([(0,2),(0,4),(1,5),(2,5),(3,1),(4,3)],6)=>288
([(0,4),(1,2),(1,3),(2,5),(3,5)],6)=>32
([(0,4),(1,2),(1,3),(2,5),(3,5),(4,5)],6)=>96
([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6)=>576
([(0,4),(1,2),(1,3),(2,5),(3,5),(5,4)],6)=>180
([(1,4),(1,5),(2,3),(2,5)],6)=>9
([(1,4),(1,5),(2,3),(2,4),(2,5)],6)=>12
([(0,4),(0,5),(1,3),(1,4),(1,5),(5,2)],6)=>40
([(0,4),(0,5),(1,2),(1,4),(1,5),(4,3),(5,3)],6)=>80
([(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6)=>16
([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(5,2)],6)=>50
([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(4,2),(5,2)],6)=>100
([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,5),(3,5),(4,5)],6)=>200
([(0,4),(0,5),(1,2),(1,4),(1,5),(2,3)],6)=>30
([(0,4),(0,5),(1,2),(1,4),(1,5),(2,3),(5,3)],6)=>80
([(0,3),(0,4),(1,2),(1,3),(1,4),(2,5),(3,5),(4,5)],6)=>160
([(0,4),(0,5),(1,3),(1,5),(5,2)],6)=>32
([(1,4),(1,5),(2,3),(2,4),(3,5)],6)=>24
([(0,4),(0,5),(1,2),(1,4),(2,5),(4,3)],6)=>80
([(0,4),(0,5),(1,2),(1,4),(2,5),(5,3)],6)=>120
([(0,2),(0,5),(1,4),(1,5),(2,4),(4,3),(5,3)],6)=>240
([(0,3),(0,5),(1,4),(1,5),(4,2)],6)=>24
([(0,2),(0,4),(1,3),(1,4),(3,5),(4,5)],6)=>64
([(0,4),(0,5),(1,2),(1,4),(2,3),(2,5)],6)=>45
([(0,2),(0,5),(1,4),(1,5),(2,3),(2,4),(5,3)],6)=>120
([(0,3),(0,4),(1,2),(1,4),(2,5),(3,5)],6)=>64
([(0,3),(0,4),(1,2),(1,4),(2,5),(3,5),(4,5)],6)=>128
([(0,4),(0,5),(1,2),(1,4),(2,3),(3,5)],6)=>90
([(0,4),(0,5),(1,2),(1,3)],6)=>9
([(0,4),(0,5),(1,2),(1,3),(1,5)],6)=>12
([(0,4),(0,5),(1,2),(1,3),(1,4),(1,5)],6)=>15
([(0,4),(0,5),(1,2),(1,3),(1,4),(3,5)],6)=>30
([(0,4),(0,5),(1,2),(1,3),(1,4),(2,5),(3,5)],6)=>60
([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5)],6)=>16
([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5)],6)=>20
([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5)],6)=>25
([(0,2),(0,4),(0,5),(1,3),(1,4),(1,5),(2,3)],6)=>40
([(0,3),(0,4),(1,2),(1,4),(1,5),(3,5)],6)=>32
([(0,2),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4)],6)=>60
([(0,4),(0,5),(1,2),(1,3),(3,5)],6)=>24
([(0,4),(0,5),(1,2),(1,3),(3,4),(3,5)],6)=>45
([(0,2),(0,3),(1,4),(1,5),(2,4),(2,5),(3,1)],6)=>216
([(0,2),(0,4),(2,5),(3,1),(3,5),(4,3)],6)=>144
([(0,4),(0,5),(1,2),(1,3),(2,5),(3,5)],6)=>48
([(0,4),(0,5),(1,2),(1,3),(2,5),(3,4)],6)=>60
([(0,4),(0,5),(1,2),(1,3),(2,5),(3,4),(3,5)],6)=>90
([(0,4),(0,5),(1,2),(1,3),(2,4),(2,5),(3,4),(3,5)],6)=>135
([(0,3),(0,5),(1,2),(1,4),(2,5),(3,4)],6)=>64
([(1,4),(2,3),(2,5),(4,5)],6)=>18
([(0,4),(1,3),(1,5),(4,5),(5,2)],6)=>96
([(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)=>160
([(0,2),(1,4),(1,5),(2,4),(2,5),(4,3),(5,3)],6)=>320
([(0,3),(1,4),(1,5),(3,5),(4,2)],6)=>48
([(0,3),(1,2),(1,4),(2,5),(3,4),(4,5)],6)=>192
([(0,3),(1,2),(1,4),(2,5),(3,4),(3,5)],6)=>96
([(0,5),(1,3),(1,4),(5,2)],6)=>18
([(0,2),(0,5),(3,4),(4,1),(5,3)],6)=>144
([(0,5),(4,2),(4,3),(5,1),(5,4)],6)=>90
([(0,4),(1,3),(1,5),(4,2),(4,5)],6)=>36
([(0,4),(0,5),(1,2),(2,3),(2,4),(2,5)],6)=>60
([(0,4),(0,5),(1,2),(2,3),(2,5),(3,4)],6)=>120
([(2,5),(3,4),(4,5)],6)=>12
([(1,5),(2,3),(3,5),(5,4)],6)=>72
([(0,5),(1,2),(2,5),(5,3),(5,4)],6)=>240
([(1,3),(2,4),(4,5)],6)=>12
([(1,5),(4,3),(5,2),(5,4)],6)=>40
([(1,5),(2,3),(3,4),(3,5)],6)=>24
([(0,5),(1,4),(4,2),(4,5),(5,3)],6)=>120
([(0,4),(1,5),(5,2),(5,3)],6)=>24
([(0,5),(4,3),(5,1),(5,2),(5,4)],6)=>60
([(0,5),(1,4),(4,2),(4,3),(4,5)],6)=>40
([(1,5),(3,4),(4,2),(5,3)],6)=>120
([(0,4),(3,5),(4,3),(5,1),(5,2)],6)=>360
([(1,4),(2,3),(3,5),(4,5)],6)=>36
([(0,4),(1,3),(3,5),(4,5),(5,2)],6)=>288
([(0,5),(1,4),(4,2),(5,3)],6)=>36
([(0,5),(3,4),(4,2),(5,1),(5,3)],6)=>180
([(0,3),(1,4),(3,5),(4,2),(4,5)],6)=>72
([(0,3),(1,2),(2,4),(2,5),(3,4),(3,5)],6)=>144
([(1,5),(2,3),(3,4),(4,5)],6)=>48
([(1,4),(2,5),(3,5),(4,2),(4,3)],6)=>80
([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6)=>540
([(0,5),(1,4),(2,5),(4,2),(5,3)],6)=>360
([(0,5),(1,4),(2,3)],6)=>8
([(0,5),(1,3),(2,4),(2,5)],6)=>12
([(0,5),(1,4),(2,3),(2,4),(2,5)],6)=>16
([(0,5),(1,4),(1,5),(3,2),(4,3)],6)=>60
([(0,4),(1,2),(1,4),(2,3),(3,5),(4,5)],6)=>180
([(0,5),(1,4),(2,3),(2,4),(3,5)],6)=>32
([(0,4),(1,2),(1,4),(2,5),(3,5),(4,3)],6)=>240
([(0,5),(1,4),(2,3),(2,4),(3,5),(4,5)],6)=>96
([(0,5),(1,3),(1,5),(4,2),(5,4)],6)=>120
([(0,5),(1,4),(2,3),(2,4),(4,5)],6)=>48
([(0,4),(1,4),(1,5),(2,3),(2,5)],6)=>18
([(0,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6)=>24
([(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6)=>32
([(0,4),(0,5),(1,3),(1,5),(2,3),(2,4)],6)=>27
([(0,4),(0,5),(1,3),(1,5),(2,3),(2,4),(2,5)],6)=>36
([(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6)=>48
([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6)=>64
([(0,4),(1,3),(1,5),(2,3),(2,4),(4,5)],6)=>72
([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5)],6)=>24
([(0,5),(1,4),(1,5),(2,3),(2,4),(3,5)],6)=>48
([(0,5),(1,4),(1,5),(2,3),(2,5)],6)=>18
([(0,5),(1,4),(1,5),(2,3),(2,5),(3,4)],6)=>48
([(0,4),(1,4),(1,5),(2,3),(3,5)],6)=>36
([(0,5),(1,4),(1,5),(2,3),(3,4),(3,5)],6)=>72
([(0,4),(1,3),(1,5),(2,5),(4,2)],6)=>72
([(0,4),(0,5),(1,2),(2,3),(3,4),(3,5)],6)=>180
([(0,3),(1,4),(1,5),(2,4),(2,5),(3,1),(3,2)],6)=>270
([(0,4),(2,5),(3,1),(3,5),(4,2),(4,3)],6)=>180
([(0,5),(1,4),(2,3),(2,5),(4,5)],6)=>36
([(0,5),(1,3),(4,2),(5,4)],6)=>48
([(0,5),(3,2),(4,1),(5,3),(5,4)],6)=>120
([(0,5),(1,4),(3,2),(4,3),(4,5)],6)=>80
([(0,5),(1,2),(2,3),(2,5),(3,4),(5,4)],6)=>240
([(0,4),(3,2),(4,5),(5,1),(5,3)],6)=>240
([(0,5),(1,3),(3,4),(4,2),(4,5)],6)=>120
([(0,5),(2,4),(3,2),(4,1),(5,3)],6)=>720
([(0,5),(1,3),(2,4),(4,5)],6)=>24
([(0,5),(1,4),(2,3),(3,4),(3,5)],6)=>48
([(0,5),(1,3),(3,5),(4,2),(5,4)],6)=>480
([(0,5),(1,4),(2,3),(3,5),(5,4)],6)=>144
([(0,5),(1,4),(2,5),(3,2),(4,3)],6)=>240
([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6)=>480
([(0,3),(1,4),(2,5),(3,5),(4,2)],6)=>144
([(0,4),(1,5),(2,5),(3,2),(4,1),(4,3)],6)=>360
([(0,5),(1,4),(2,3),(3,5),(4,5)],6)=>72
([],7)=>1
([(5,6)],7)=>2
([(4,5),(4,6)],7)=>3
([(3,4),(3,5),(3,6)],7)=>4
([(2,3),(2,4),(2,5),(2,6)],7)=>5
([(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>6
([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>7
([(0,2),(0,3),(0,4),(0,5),(0,6),(6,1)],7)=>14
([(0,1),(0,2),(0,3),(0,4),(0,5),(4,6),(5,6)],7)=>28
([(0,1),(0,2),(0,3),(0,4),(0,5),(3,6),(4,6),(5,6)],7)=>56
([(0,1),(0,2),(0,3),(0,4),(0,5),(2,6),(3,6),(4,6),(5,6)],7)=>112
([(0,1),(0,2),(0,3),(0,4),(0,5),(1,6),(2,6),(3,6),(4,6),(5,6)],7)=>224
([(1,3),(1,4),(1,5),(1,6),(6,2)],7)=>12
([(0,3),(0,4),(0,5),(0,6),(6,1),(6,2)],7)=>21
([(1,2),(1,3),(1,4),(1,5),(4,6),(5,6)],7)=>24
([(1,2),(1,3),(1,4),(1,5),(3,6),(4,6),(5,6)],7)=>48
([(1,2),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,6)],7)=>96
([(0,2),(0,3),(0,4),(0,5),(2,6),(3,6),(4,6),(5,6),(6,1)],7)=>1134
([(0,2),(0,3),(0,4),(0,5),(2,6),(3,6),(4,6),(5,1)],7)=>112
([(0,2),(0,3),(0,4),(0,5),(2,6),(3,6),(4,6),(5,1),(5,6)],7)=>168
([(0,1),(0,2),(0,3),(0,4),(1,6),(2,6),(3,6),(4,5),(6,5)],7)=>756
([(0,2),(0,3),(0,4),(0,5),(3,6),(4,6),(5,6),(6,1)],7)=>378
([(0,2),(0,3),(0,4),(0,5),(3,6),(4,6),(5,1)],7)=>56
([(0,1),(0,2),(0,3),(0,4),(2,6),(3,5),(4,5),(4,6)],7)=>84
([(0,1),(0,2),(0,3),(0,4),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>126
([(0,1),(0,2),(0,3),(0,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>189
([(0,2),(0,3),(0,4),(0,5),(3,6),(4,6),(5,1),(5,6)],7)=>84
([(0,1),(0,2),(0,3),(0,4),(1,6),(2,6),(3,5),(4,5)],7)=>112
([(0,1),(0,2),(0,3),(0,4),(1,6),(2,6),(3,5),(4,5),(4,6)],7)=>168
([(0,1),(0,2),(0,3),(0,4),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>252
([(0,1),(0,2),(0,3),(0,4),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)=>252
([(0,1),(0,2),(0,3),(0,4),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>378
([(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)=>567
([(0,1),(0,2),(0,3),(0,4),(1,6),(2,6),(3,5),(4,5),(5,6)],7)=>504
([(0,1),(0,2),(0,3),(0,4),(2,6),(3,5),(4,5),(5,6)],7)=>252
([(0,2),(0,3),(0,4),(0,5),(4,6),(5,6),(6,1)],7)=>126
([(0,3),(0,4),(0,5),(0,6),(5,2),(6,1)],7)=>28
([(0,2),(0,3),(0,4),(0,5),(4,6),(5,1),(5,6)],7)=>42
([(0,1),(0,2),(0,3),(0,4),(3,5),(3,6),(4,5),(4,6)],7)=>63
([(2,4),(2,5),(2,6),(6,3)],7)=>10
([(1,4),(1,5),(1,6),(6,2),(6,3)],7)=>18
([(0,4),(0,5),(0,6),(6,1),(6,2),(6,3)],7)=>28
([(2,3),(2,4),(2,5),(4,6),(5,6)],7)=>20
([(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)=>40
([(1,2),(1,3),(1,4),(2,6),(3,6),(4,6),(6,5)],7)=>324
([(0,3),(0,4),(0,5),(3,6),(4,6),(5,6),(6,1),(6,2)],7)=>1344
([(1,3),(1,4),(1,5),(3,6),(4,6),(5,2)],7)=>48
([(1,2),(1,3),(1,4),(2,6),(3,5),(4,5),(4,6)],7)=>72
([(1,2),(1,3),(1,4),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>108
([(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>162
([(0,2),(0,3),(0,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(6,1)],7)=>896
([(0,1),(0,2),(0,3),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(5,4),(6,4)],7)=>1792
([(0,2),(0,3),(0,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,1)],7)=>448
([(0,1),(0,2),(0,3),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(6,5)],7)=>1344
([(0,2),(0,3),(0,4),(2,6),(3,5),(3,6),(4,5),(4,6),(6,1)],7)=>672
([(0,2),(0,3),(0,4),(2,6),(3,5),(4,5),(4,6),(6,1)],7)=>336
([(0,1),(0,2),(0,3),(1,5),(2,4),(3,4),(3,5),(4,6),(5,6)],7)=>1008
([(1,3),(1,4),(1,5),(3,6),(4,6),(5,2),(5,6)],7)=>72
([(0,3),(0,4),(0,5),(3,6),(4,6),(5,1),(5,6),(6,2)],7)=>504
([(0,3),(0,4),(0,5),(3,6),(4,6),(5,1),(5,2)],7)=>84
([(0,3),(0,4),(0,5),(3,6),(4,6),(5,1),(5,2),(5,6)],7)=>112
([(0,2),(0,3),(0,4),(2,5),(3,5),(4,1),(4,6),(5,6)],7)=>378
([(0,1),(0,2),(0,3),(1,4),(2,4),(3,5),(3,6),(4,5),(4,6)],7)=>1008
([(1,2),(1,3),(1,4),(2,6),(3,5),(4,5),(5,6)],7)=>216
([(0,2),(0,3),(0,4),(2,6),(3,5),(4,5),(5,6),(6,1)],7)=>2016
([(0,3),(0,4),(0,5),(3,6),(4,6),(5,1),(6,2)],7)=>252
([(0,2),(0,3),(0,4),(2,6),(3,6),(4,5),(6,1),(6,5)],7)=>672
([(1,2),(1,3),(1,4),(3,6),(4,6),(6,5)],7)=>108
([(0,3),(0,4),(0,5),(4,6),(5,6),(6,1),(6,2)],7)=>336
([(1,4),(1,5),(1,6),(5,3),(6,2)],7)=>24
([(1,3),(1,4),(1,5),(4,6),(5,2),(5,6)],7)=>36
([(1,2),(1,3),(1,4),(3,5),(3,6),(4,5),(4,6)],7)=>54
([(0,2),(0,3),(0,4),(2,5),(2,6),(3,5),(3,6),(4,1)],7)=>126
([(0,2),(0,3),(0,4),(2,5),(2,6),(3,5),(3,6),(4,1),(4,6)],7)=>189
([(0,2),(0,3),(0,4),(2,5),(2,6),(3,5),(3,6),(4,1),(4,5),(4,6)],7)=>252
([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5)],7)=>672
([(0,1),(0,2),(0,3),(1,6),(2,4),(2,5),(3,4),(3,5),(5,6)],7)=>448
([(0,1),(0,2),(0,3),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)=>896
([(0,2),(0,3),(0,4),(3,5),(3,6),(4,5),(4,6),(6,1)],7)=>224
([(0,1),(0,2),(0,3),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)=>448
([(0,3),(0,4),(0,5),(4,6),(5,1),(5,6),(6,2)],7)=>168
([(0,4),(0,5),(0,6),(5,3),(6,1),(6,2)],7)=>42
([(0,3),(0,4),(0,5),(4,6),(5,1),(5,2),(5,6)],7)=>56
([(0,3),(0,4),(0,5),(4,2),(4,6),(5,1),(5,6)],7)=>63
([(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)=>112
([(0,4),(0,5),(0,6),(4,3),(5,2),(6,1)],7)=>56
([(0,3),(0,4),(0,5),(3,6),(4,2),(5,1),(5,6)],7)=>84
([(0,2),(0,3),(0,4),(2,6),(3,5),(4,1),(4,5),(4,6)],7)=>112
([(0,2),(0,3),(0,4),(2,5),(3,5),(3,6),(4,1),(4,6)],7)=>126
([(0,1),(0,2),(0,3),(1,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>168
([(0,1),(0,2),(0,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>224
([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5)],7)=>189
([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6)],7)=>252
([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>336
([(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)=>448
([(0,2),(0,3),(0,4),(2,6),(3,5),(3,6),(4,1),(4,5),(4,6)],7)=>168
([(0,1),(0,2),(0,3),(1,5),(2,4),(2,6),(3,4),(3,5),(5,6)],7)=>504
([(0,3),(0,4),(0,5),(3,6),(4,2),(4,6),(5,1),(5,6)],7)=>126
([(0,2),(0,3),(0,4),(2,6),(3,5),(4,1),(4,5),(5,6)],7)=>336
([(3,4),(3,5),(5,6)],7)=>8
([(2,5),(2,6),(6,3),(6,4)],7)=>15
([(1,5),(1,6),(6,2),(6,3),(6,4)],7)=>24
([(0,5),(0,6),(6,1),(6,2),(6,3),(6,4)],7)=>35
([(3,4),(3,5),(4,6),(5,6)],7)=>16
([(2,3),(2,4),(3,6),(4,6),(6,5)],7)=>90
([(1,2),(1,3),(2,6),(3,6),(6,4),(6,5)],7)=>288
([(0,4),(0,5),(4,6),(5,6),(6,1),(6,2),(6,3)],7)=>700
([(2,5),(2,6),(5,4),(6,3)],7)=>20
([(2,3),(2,4),(3,6),(4,5),(4,6)],7)=>30
([(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7)=>45
([(1,3),(1,4),(3,5),(3,6),(4,5),(4,6),(6,2)],7)=>192
([(0,3),(0,4),(3,5),(3,6),(4,5),(4,6),(6,1),(6,2)],7)=>525
([(1,2),(1,3),(2,5),(2,6),(3,5),(3,6),(5,4),(6,4)],7)=>384
([(0,2),(0,3),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6),(6,1)],7)=>3150
([(0,3),(0,4),(3,5),(3,6),(4,5),(4,6),(5,2),(6,1)],7)=>700
([(0,2),(0,3),(2,4),(2,6),(3,4),(3,6),(4,5),(6,1),(6,5)],7)=>1050
([(0,1),(0,2),(1,5),(1,6),(2,5),(2,6),(5,3),(5,4),(6,3),(6,4)],7)=>1575
([(1,3),(1,5),(3,6),(5,2),(5,6),(6,4)],7)=>144
([(0,4),(0,5),(4,6),(5,1),(5,6),(6,2),(6,3)],7)=>420
([(1,5),(1,6),(5,4),(6,2),(6,3)],7)=>36
([(1,4),(1,5),(4,6),(5,2),(5,3),(5,6)],7)=>48
([(0,4),(0,5),(4,6),(5,1),(5,2),(5,6),(6,3)],7)=>210
([(0,5),(0,6),(5,4),(6,1),(6,2),(6,3)],7)=>56
([(0,4),(0,5),(4,6),(5,1),(5,2),(5,3),(5,6)],7)=>70
([(1,4),(1,5),(4,3),(4,6),(5,2),(5,6)],7)=>54
([(1,3),(1,4),(3,5),(3,6),(4,2),(4,5),(4,6)],7)=>72
([(1,2),(1,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>96
([(0,2),(0,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(6,1)],7)=>350
([(0,1),(0,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(5,3),(6,3)],7)=>700
([(0,1),(0,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)=>1400
([(0,3),(0,4),(3,5),(3,6),(4,2),(4,5),(4,6),(6,1)],7)=>280
([(0,2),(0,3),(2,4),(2,5),(3,1),(3,4),(3,5),(4,6),(5,6)],7)=>560
([(0,4),(0,5),(4,2),(4,6),(5,1),(5,6),(6,3)],7)=>224
([(0,5),(0,6),(5,3),(5,4),(6,1),(6,2)],7)=>63
([(0,4),(0,5),(4,3),(4,6),(5,1),(5,2),(5,6)],7)=>84
([(0,3),(0,4),(3,5),(3,6),(4,1),(4,2),(4,5),(4,6)],7)=>105
([(0,3),(0,4),(3,2),(3,5),(3,6),(4,1),(4,5),(4,6)],7)=>112
([(0,2),(0,3),(2,4),(2,5),(2,6),(3,1),(3,4),(3,5),(3,6)],7)=>140
([(0,1),(0,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>175
([(2,3),(2,4),(3,5),(4,6),(5,6)],7)=>60
([(1,3),(1,5),(2,6),(3,6),(5,2),(6,4)],7)=>432
([(0,4),(0,5),(1,6),(4,6),(5,1),(6,2),(6,3)],7)=>1680
([(4,5),(5,6)],7)=>6
([(3,4),(4,5),(4,6)],7)=>12
([(2,6),(6,3),(6,4),(6,5)],7)=>20
([(1,6),(6,2),(6,3),(6,4),(6,5)],7)=>30
([(0,6),(6,1),(6,2),(6,3),(6,4),(6,5)],7)=>42
([(3,4),(4,6),(6,5)],7)=>24
([(2,5),(5,6),(6,3),(6,4)],7)=>60
([(1,5),(5,6),(6,2),(6,3),(6,4)],7)=>120
([(0,5),(5,6),(6,1),(6,2),(6,3),(6,4)],7)=>210
([(4,6),(5,6)],7)=>4
([(3,6),(4,6),(6,5)],7)=>18
([(2,6),(3,6),(6,4),(6,5)],7)=>48
([(1,6),(2,6),(6,3),(6,4),(6,5)],7)=>100
([(0,6),(1,6),(6,2),(6,3),(6,4),(6,5)],7)=>180
([(3,6),(4,6),(5,6)],7)=>8
([(2,6),(3,6),(4,6),(6,5)],7)=>54
([(1,6),(2,6),(3,6),(6,4),(6,5)],7)=>192
([(0,6),(1,6),(2,6),(6,3),(6,4),(6,5)],7)=>500
([(2,6),(3,6),(4,6),(5,6)],7)=>16
([(1,6),(2,6),(3,6),(4,6),(6,5)],7)=>162
([(0,6),(1,6),(2,6),(3,6),(6,4),(6,5)],7)=>768
([(1,6),(2,6),(3,6),(4,6),(5,6)],7)=>32
([(0,6),(1,6),(2,6),(3,6),(4,6),(6,5)],7)=>486
([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)=>64
([(0,6),(1,6),(2,6),(3,6),(4,5)],7)=>32
([(0,6),(1,6),(2,6),(3,6),(4,5),(6,4)],7)=>1536
([(0,6),(1,6),(2,6),(3,6),(4,5),(6,5)],7)=>324
([(0,6),(1,6),(2,6),(3,6),(4,5),(4,6)],7)=>48
([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7)=>96
([(1,6),(2,6),(3,6),(4,5)],7)=>16
([(1,6),(2,6),(3,6),(4,5),(6,4)],7)=>384
([(1,6),(2,6),(3,6),(4,5),(6,5)],7)=>108
([(0,6),(1,6),(2,6),(3,4),(6,5)],7)=>108
([(0,6),(1,6),(2,6),(4,5),(6,3),(6,4)],7)=>1000
([(0,6),(1,6),(2,6),(3,5),(6,4),(6,5)],7)=>384
([(1,6),(2,6),(3,6),(4,5),(4,6)],7)=>24
([(0,6),(1,6),(2,6),(3,4),(3,6),(6,5)],7)=>216
([(0,6),(1,6),(2,6),(3,4),(3,6),(4,5)],7)=>64
([(0,6),(1,6),(2,6),(3,4),(3,6),(4,5),(6,5)],7)=>432
([(0,6),(1,6),(2,6),(3,4),(3,5)],7)=>24
([(0,6),(1,6),(2,6),(3,4),(3,5),(6,3)],7)=>1500
([(0,6),(1,6),(2,6),(3,4),(3,5),(6,5)],7)=>162
([(0,6),(1,6),(2,6),(3,4),(3,5),(6,4),(6,5)],7)=>576
([(0,6),(1,6),(2,6),(3,4),(3,5),(3,6)],7)=>32
([(0,6),(1,6),(2,6),(3,4),(3,5),(5,6)],7)=>64
([(0,6),(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7)=>128
([(1,6),(2,6),(3,6),(4,5),(5,6)],7)=>48
([(0,6),(1,6),(2,6),(3,4),(4,6),(6,5)],7)=>648
([(0,6),(1,6),(2,6),(3,4),(4,5)],7)=>48
([(0,6),(1,6),(2,6),(3,5),(5,4),(6,3)],7)=>3000
([(0,6),(1,6),(2,6),(3,5),(5,4),(6,5)],7)=>1152
([(0,6),(1,6),(2,6),(3,4),(4,5),(6,5)],7)=>324
([(0,6),(1,6),(2,6),(3,4),(4,5),(4,6)],7)=>96
([(0,3),(1,6),(2,6),(3,5),(4,6),(5,4)],7)=>480
([(0,6),(1,4),(2,6),(3,6),(4,5),(5,2),(5,3)],7)=>960
([(0,4),(1,6),(2,6),(3,6),(4,5),(5,1),(5,2),(5,3)],7)=>1680
([(0,6),(1,6),(2,6),(3,4),(4,5),(5,6)],7)=>192
([(0,6),(1,6),(2,6),(3,5),(4,5)],7)=>32
([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)=>48
([(0,6),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)=>72
([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>108
([(0,6),(1,5),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>108
([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>162
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>243
([(0,6),(1,6),(2,6),(3,5),(4,5),(6,4)],7)=>768
([(0,6),(1,6),(2,6),(3,5),(4,5),(6,3),(6,4)],7)=>2000
([(0,6),(1,6),(2,5),(3,5),(4,5),(5,6)],7)=>216
([(0,6),(1,6),(2,6),(3,5),(4,5),(4,6)],7)=>48
([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>72
([(0,6),(1,6),(2,5),(3,5),(4,6),(5,4)],7)=>384
([(0,6),(1,5),(2,5),(3,6),(4,6),(5,3),(5,4)],7)=>800
([(0,5),(1,5),(2,6),(3,6),(4,6),(5,2),(5,3),(5,4)],7)=>1440
([(0,6),(1,6),(2,6),(3,5),(4,5),(5,6)],7)=>144
([(2,6),(3,6),(4,5)],7)=>8
([(2,6),(3,5),(4,5),(4,6)],7)=>12
([(1,6),(2,5),(3,5),(3,6),(6,4)],7)=>48
([(0,6),(1,5),(2,5),(2,6),(6,3),(6,4)],7)=>120
([(1,5),(2,4),(3,4),(3,5),(4,6),(5,6)],7)=>144
([(0,5),(1,4),(2,4),(2,5),(4,6),(5,6),(6,3)],7)=>1440
([(0,6),(1,5),(2,5),(2,6),(5,3),(6,4)],7)=>180
([(0,6),(1,4),(2,4),(2,6),(4,5),(6,3),(6,5)],7)=>360
([(0,6),(1,5),(2,5),(2,6),(5,3),(5,4),(6,3),(6,4)],7)=>720
([(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>18
([(1,6),(2,5),(2,6),(3,5),(3,6),(5,4)],7)=>64
([(0,6),(1,5),(1,6),(2,5),(2,6),(5,3),(5,4)],7)=>150
([(0,6),(1,5),(1,6),(2,5),(2,6),(5,3),(5,4),(6,4)],7)=>450
([(0,6),(1,3),(1,6),(2,3),(2,6),(3,4),(3,5),(6,4),(6,5)],7)=>900
([(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(6,5)],7)=>192
([(0,6),(1,5),(1,6),(2,5),(2,6),(5,4),(6,3)],7)=>300
([(0,6),(1,4),(1,6),(2,4),(2,6),(4,5),(6,3),(6,5)],7)=>600
([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>27
([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(6,4)],7)=>128
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(6,3),(6,4)],7)=>375
([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(5,4),(6,4)],7)=>256
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(5,4),(6,3)],7)=>500
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(5,4),(6,3),(6,4)],7)=>750
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(5,3),(5,4),(6,3),(6,4)],7)=>1125
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4)],7)=>54
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(6,3)],7)=>750
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(4,3),(5,4),(6,4)],7)=>2250
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(6,4)],7)=>256
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(5,4),(6,3)],7)=>1500
([(0,6),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)=>512
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6)],7)=>81
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(5,4)],7)=>384
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>108
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(4,6)],7)=>216
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(4,6)],7)=>162
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(4,5),(4,6)],7)=>324
([(1,6),(2,5),(2,6),(3,5),(3,6),(6,4)],7)=>96
([(0,6),(1,5),(1,6),(2,5),(2,6),(6,3),(6,4)],7)=>300
([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4)],7)=>36
([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(5,3)],7)=>300
([(0,6),(1,4),(1,6),(2,4),(2,6),(4,5),(5,3),(6,5)],7)=>1800
([(0,6),(1,4),(1,6),(2,4),(2,6),(3,5),(4,3),(6,5)],7)=>900
([(0,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5)],7)=>128
([(0,6),(1,4),(1,6),(2,4),(2,6),(3,5),(4,5),(6,3)],7)=>1200
([(0,6),(1,5),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)=>384
([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(6,3)],7)=>600
([(0,6),(1,5),(2,4),(2,6),(3,4),(3,6),(6,5)],7)=>192
([(0,5),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6)],7)=>54
([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(6,4)],7)=>288
([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>72
([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(4,6)],7)=>144
([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6)],7)=>54
([(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5)],7)=>192
([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5)],7)=>144
([(0,5),(1,5),(1,6),(2,5),(2,6),(3,4),(4,6)],7)=>108
([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(4,5),(4,6)],7)=>216
([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(4,6)],7)=>108
([(0,6),(1,5),(2,5),(2,6),(3,4)],7)=>24
([(0,6),(1,5),(2,4),(3,4),(3,5),(3,6)],7)=>32
([(0,6),(1,5),(2,5),(2,6),(3,4),(6,3)],7)=>240
([(0,6),(1,4),(2,5),(3,4),(3,5),(5,6)],7)=>96
([(0,5),(1,4),(2,4),(2,5),(3,6),(4,6),(5,3)],7)=>720
([(0,6),(1,5),(2,4),(3,4),(3,5),(4,6),(5,6)],7)=>288
([(0,6),(1,5),(2,5),(2,6),(3,4),(3,6)],7)=>36
([(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5)],7)=>54
([(0,5),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6)],7)=>72
([(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>96
([(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6)],7)=>72
([(0,6),(1,5),(1,6),(2,4),(3,4),(3,6),(4,5)],7)=>144
([(0,6),(1,5),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>48
([(0,6),(1,5),(2,5),(2,6),(3,4),(3,5),(4,6)],7)=>96
([(0,6),(1,5),(2,5),(2,6),(3,4),(4,6)],7)=>72
([(0,6),(1,5),(2,5),(2,6),(3,4),(4,5),(4,6)],7)=>144
([(2,6),(3,6),(4,5),(6,4)],7)=>96
([(2,6),(3,5),(4,5),(5,6)],7)=>36
([(1,6),(2,5),(3,5),(5,6),(6,4)],7)=>288
([(0,6),(1,5),(2,5),(5,6),(6,3),(6,4)],7)=>1200
([(1,6),(2,6),(3,4),(6,5)],7)=>36
([(1,6),(2,6),(4,5),(6,3),(6,4)],7)=>200
([(1,6),(2,6),(3,5),(6,4),(6,5)],7)=>96
([(0,6),(1,5),(2,5),(5,3),(5,6),(6,4)],7)=>600
([(0,6),(1,6),(2,3),(6,4),(6,5)],7)=>96
([(0,6),(1,6),(5,2),(6,3),(6,4),(6,5)],7)=>360
([(0,6),(1,6),(2,5),(6,3),(6,4),(6,5)],7)=>200
([(2,6),(3,6),(4,5),(4,6)],7)=>12
([(1,6),(2,6),(3,4),(3,6),(6,5)],7)=>72
([(0,6),(1,6),(2,3),(2,6),(6,4),(6,5)],7)=>240
([(1,6),(2,6),(3,4),(3,6),(4,5)],7)=>32
([(1,6),(2,6),(3,4),(3,6),(4,5),(6,5)],7)=>144
([(0,6),(1,6),(2,3),(2,6),(3,5),(6,4)],7)=>180
([(0,6),(1,6),(2,4),(2,6),(4,5),(6,3),(6,5)],7)=>480
([(0,6),(1,6),(2,3),(2,6),(3,4),(3,5)],7)=>60
([(0,6),(1,6),(2,3),(2,6),(3,4),(3,5),(6,5)],7)=>270
([(0,6),(1,6),(2,3),(2,6),(3,4),(3,5),(6,4),(6,5)],7)=>720
([(0,6),(1,6),(2,3),(2,6),(3,5),(5,4)],7)=>120
([(0,6),(1,6),(2,3),(2,6),(3,5),(5,4),(6,5)],7)=>1440
([(0,6),(1,6),(2,3),(2,6),(3,4),(4,5),(6,5)],7)=>540
([(1,6),(2,6),(3,4),(3,5)],7)=>12
([(1,6),(2,6),(3,4),(3,5),(6,3)],7)=>300
([(1,5),(2,5),(3,4),(3,6),(5,6)],7)=>54
([(1,4),(2,4),(3,5),(3,6),(4,5),(4,6)],7)=>144
([(0,5),(0,6),(1,4),(2,4),(4,5),(4,6),(6,3)],7)=>800
([(0,5),(1,5),(2,4),(2,6),(5,6),(6,3)],7)=>384
([(0,6),(1,6),(2,3),(2,4),(6,5)],7)=>54
([(0,6),(1,6),(5,2),(5,3),(6,4),(6,5)],7)=>540
([(0,6),(1,6),(2,4),(2,5),(6,3),(6,5)],7)=>144
([(0,6),(1,6),(2,4),(2,5),(6,3),(6,4),(6,5)],7)=>300
([(1,6),(2,6),(3,4),(3,5),(3,6)],7)=>16
([(0,6),(1,6),(2,3),(2,4),(2,6),(6,5)],7)=>90
([(0,6),(1,6),(2,3),(2,4),(2,6),(4,5)],7)=>40
([(0,6),(1,6),(2,3),(2,4),(2,6),(4,5),(6,5)],7)=>180
([(0,6),(1,6),(2,3),(2,4),(2,6),(3,5),(4,5)],7)=>80
([(0,5),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)=>360
([(0,6),(1,6),(2,3),(2,4),(2,5)],7)=>16
([(0,6),(1,6),(5,2),(5,3),(5,4),(6,5)],7)=>720
([(0,5),(1,5),(2,3),(2,4),(2,6),(5,6)],7)=>72
([(0,4),(1,4),(2,3),(2,5),(2,6),(4,5),(4,6)],7)=>192
([(0,6),(1,6),(2,3),(2,4),(2,5),(6,3),(6,4),(6,5)],7)=>400
([(0,6),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>20
([(0,6),(1,2),(1,3),(1,5),(4,6),(5,4)],7)=>72
([(0,3),(0,4),(0,5),(1,6),(2,6),(5,1),(5,2)],7)=>112
([(0,3),(0,4),(0,5),(1,6),(2,6),(4,2),(5,1)],7)=>252
([(0,6),(1,6),(2,3),(2,4),(2,5),(5,6)],7)=>40
([(0,6),(1,2),(1,4),(1,5),(3,6),(4,6),(5,3)],7)=>144
([(0,3),(0,4),(0,5),(1,6),(2,6),(4,6),(5,1),(5,2)],7)=>224
([(0,3),(0,4),(0,5),(1,6),(2,6),(3,6),(4,2),(5,1)],7)=>504
([(0,6),(1,6),(2,3),(2,4),(2,5),(4,6),(5,6)],7)=>80
([(0,6),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,2)],7)=>288
([(0,3),(0,4),(0,5),(1,6),(2,6),(3,6),(4,6),(5,1),(5,2)],7)=>448
([(0,6),(1,6),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)=>160
([(1,6),(2,6),(3,4),(3,5),(5,6)],7)=>32
([(0,6),(1,6),(2,3),(2,4),(4,6),(6,5)],7)=>270
([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7)=>64
([(0,6),(1,6),(2,3),(2,4),(3,6),(4,6),(6,5)],7)=>810
([(0,6),(1,6),(2,3),(2,4),(4,5)],7)=>32
([(0,6),(1,6),(4,3),(5,2),(5,4),(6,5)],7)=>1440
([(0,5),(1,5),(2,3),(2,6),(3,4),(5,6)],7)=>144
([(0,4),(1,4),(2,3),(2,5),(3,6),(4,5),(4,6)],7)=>384
([(0,4),(1,4),(2,3),(2,5),(3,6),(4,5),(5,6)],7)=>768
([(0,6),(1,6),(2,4),(2,5),(4,3),(5,3),(6,4),(6,5)],7)=>1600
([(0,5),(1,5),(2,3),(2,4),(4,6),(5,6)],7)=>144
([(0,6),(1,3),(1,5),(4,6),(5,2),(5,4)],7)=>96
([(0,4),(0,5),(2,6),(3,6),(5,1),(5,2),(5,3)],7)=>140
([(0,6),(1,6),(2,3),(2,4),(4,5),(4,6)],7)=>60
([(0,6),(1,4),(1,5),(3,6),(4,2),(5,3)],7)=>144
([(0,6),(1,3),(1,4),(2,6),(3,5),(4,2),(6,5)],7)=>864
([(0,6),(1,4),(1,5),(3,6),(4,3),(5,2),(5,6)],7)=>216
([(0,4),(0,5),(2,6),(3,6),(4,1),(4,6),(5,2),(5,3)],7)=>336
([(0,3),(0,4),(1,6),(2,6),(3,5),(3,6),(4,1),(4,2),(4,5)],7)=>420
([(0,6),(1,3),(1,4),(2,6),(3,5),(3,6),(4,2),(4,5)],7)=>288
([(0,4),(0,5),(2,6),(3,6),(4,3),(5,1),(5,2)],7)=>336
([(0,3),(0,4),(1,5),(2,5),(3,2),(3,6),(4,1),(4,6)],7)=>448
([(0,3),(0,4),(1,6),(2,6),(3,2),(3,5),(4,1),(4,5),(5,6)],7)=>896
([(0,4),(0,5),(2,6),(3,6),(4,1),(5,2),(5,3)],7)=>224
([(0,3),(0,4),(1,5),(2,5),(3,6),(4,1),(4,2),(5,6)],7)=>1260
([(0,3),(0,4),(1,5),(2,5),(3,6),(4,1),(4,2),(4,6)],7)=>280
([(0,3),(0,4),(1,6),(2,6),(3,5),(4,1),(4,2),(4,5),(5,6)],7)=>840
([(0,6),(1,3),(1,4),(2,6),(3,5),(4,2),(4,5)],7)=>192
([(0,6),(1,3),(1,4),(2,6),(3,5),(4,2),(4,5),(5,6)],7)=>576
([(0,3),(0,4),(1,5),(2,5),(3,6),(4,2),(4,6),(6,1)],7)=>1680
([(0,6),(1,6),(2,3),(2,4),(3,5),(4,6)],7)=>80
([(0,6),(1,6),(2,3),(2,4),(3,6),(4,5),(6,5)],7)=>540
([(0,6),(1,4),(1,5),(3,6),(4,6),(5,2),(5,3)],7)=>192
([(0,4),(0,5),(2,6),(3,6),(4,6),(5,1),(5,2),(5,3)],7)=>280
([(0,6),(1,6),(2,3),(2,4),(3,6),(4,5),(4,6)],7)=>120
([(0,6),(1,6),(2,3),(2,4),(3,5),(4,6),(5,6)],7)=>240
([(0,6),(1,4),(1,5),(2,6),(3,6),(4,6),(5,2),(5,3)],7)=>384
([(0,4),(0,5),(1,6),(2,6),(3,6),(4,6),(5,1),(5,2),(5,3)],7)=>560
([(0,5),(1,5),(2,3),(2,4),(3,6),(4,6)],7)=>64
([(0,6),(1,6),(2,5),(3,5),(4,2),(4,3),(6,4)],7)=>2880
([(0,5),(1,5),(2,3),(2,4),(3,6),(4,6),(5,6)],7)=>288
([(0,6),(1,6),(2,3),(2,4),(3,5),(4,5),(4,6)],7)=>120
([(0,6),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7)=>180
([(0,5),(1,2),(1,3),(2,6),(3,6),(4,5),(6,4)],7)=>1152
([(0,3),(0,4),(1,5),(2,5),(3,6),(4,6),(6,1),(6,2)],7)=>2800
([(0,6),(1,6),(2,3),(2,4),(3,5),(4,5),(5,6)],7)=>360
([(0,6),(1,6),(2,3),(2,4),(4,5),(5,6)],7)=>120
([(0,6),(1,2),(1,5),(3,6),(4,6),(5,3),(5,4)],7)=>192
([(0,4),(0,5),(1,6),(2,6),(3,6),(5,1),(5,2),(5,3)],7)=>280
([(0,6),(1,4),(1,5),(2,6),(3,6),(4,3),(5,2)],7)=>432
([(0,4),(0,5),(1,6),(2,6),(3,6),(4,3),(5,1),(5,2)],7)=>672
([(2,6),(3,6),(4,5),(5,6)],7)=>24
([(1,6),(2,6),(3,4),(4,6),(6,5)],7)=>216
([(0,6),(1,6),(2,3),(3,6),(6,4),(6,5)],7)=>960
([(1,6),(2,6),(3,4),(4,5)],7)=>24
([(1,6),(2,6),(3,5),(5,4),(6,3)],7)=>600
([(1,5),(2,5),(3,4),(4,6),(5,6)],7)=>108
([(0,5),(1,5),(2,3),(3,6),(5,6),(6,4)],7)=>1152
([(0,6),(1,6),(2,3),(3,5),(6,4)],7)=>108
([(0,6),(1,6),(4,2),(5,4),(6,3),(6,5)],7)=>1080
([(0,5),(1,5),(2,3),(3,6),(5,4),(5,6)],7)=>288
([(1,6),(2,6),(3,4),(4,5),(4,6)],7)=>48
([(0,6),(1,6),(2,3),(3,5),(3,6),(6,4)],7)=>360
([(0,3),(1,6),(2,6),(3,5),(3,6),(5,4)],7)=>160
([(0,6),(1,6),(2,3),(3,4),(3,6),(4,5),(6,5)],7)=>720
([(0,3),(1,6),(2,6),(3,4),(3,5)],7)=>48
([(0,6),(1,6),(4,5),(5,2),(5,3),(6,4)],7)=>2160
([(0,5),(1,5),(2,3),(3,4),(3,6),(5,6)],7)=>216
([(0,4),(1,4),(2,3),(3,5),(3,6),(4,5),(4,6)],7)=>576
([(0,6),(1,5),(4,6),(5,2),(5,3),(5,4)],7)=>120
([(0,5),(3,6),(4,6),(5,1),(5,2),(5,3),(5,4)],7)=>168
([(0,3),(1,6),(2,6),(3,4),(3,5),(3,6)],7)=>80
([(0,3),(1,6),(2,6),(3,4),(3,5),(5,6)],7)=>160
([(0,6),(1,5),(3,6),(4,6),(5,2),(5,3),(5,4)],7)=>240
([(0,5),(2,6),(3,6),(4,6),(5,1),(5,2),(5,3),(5,4)],7)=>336
([(0,3),(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7)=>320
([(0,6),(1,5),(2,6),(3,6),(4,6),(5,2),(5,3),(5,4)],7)=>480
([(0,5),(1,6),(2,6),(3,6),(4,6),(5,1),(5,2),(5,3),(5,4)],7)=>672
([(1,3),(2,6),(3,5),(4,6),(5,4)],7)=>240
([(0,6),(1,5),(2,6),(4,2),(5,4),(6,3)],7)=>2160
([(1,4),(2,6),(3,6),(4,5),(5,2),(5,3)],7)=>480
([(0,4),(1,6),(2,6),(4,5),(5,1),(5,2),(6,3)],7)=>3780
([(1,6),(2,6),(3,4),(4,5),(5,6)],7)=>96
([(0,6),(1,6),(2,3),(3,5),(5,6),(6,4)],7)=>1080
([(0,3),(1,6),(2,6),(3,5),(5,4)],7)=>96
([(0,6),(1,6),(3,4),(4,2),(5,3),(6,5)],7)=>4320
([(0,5),(1,5),(2,3),(3,4),(4,6),(5,6)],7)=>432
([(0,6),(1,4),(3,6),(4,5),(5,2),(5,3)],7)=>480
([(0,4),(2,6),(3,6),(4,5),(5,1),(5,2),(5,3)],7)=>840
([(0,3),(1,6),(2,6),(3,5),(5,4),(5,6)],7)=>240
([(1,6),(2,6),(3,5),(4,5)],7)=>16
([(1,6),(2,6),(3,5),(4,5),(4,6)],7)=>24
([(0,6),(1,6),(2,5),(3,5),(3,6),(5,4)],7)=>96
([(0,6),(1,6),(2,4),(3,4),(3,6),(4,5),(6,5)],7)=>432
([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>36
([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(5,4)],7)=>128
([(0,6),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(6,5)],7)=>576
([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(6,4)],7)=>288
([(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)=>36
([(0,6),(1,5),(2,5),(2,6),(3,5),(3,6),(6,4)],7)=>192
([(0,6),(1,5),(2,5),(2,6),(3,5),(3,6),(5,4),(6,4)],7)=>576
([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>54
([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(5,4)],7)=>256
([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(5,4),(6,4)],7)=>768
([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(6,4)],7)=>384
([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>81
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(6,4)],7)=>512
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(5,4),(6,4)],7)=>1024
([(0,6),(1,6),(2,5),(3,5),(3,6),(6,4)],7)=>144
([(1,6),(2,5),(3,5),(4,6),(5,4)],7)=>192
([(1,5),(2,5),(3,6),(4,6),(5,3),(5,4)],7)=>400
([(0,6),(1,5),(2,5),(4,6),(5,4),(6,3)],7)=>1800
([(0,6),(1,6),(2,5),(3,5),(5,4),(6,2),(6,3)],7)=>3240
([(1,6),(2,6),(3,5),(4,5),(5,6)],7)=>72
([(0,6),(1,6),(2,5),(3,5),(5,6),(6,4)],7)=>864
([(0,6),(1,6),(2,5),(3,5),(6,4)],7)=>72
([(0,6),(1,5),(2,5),(4,6),(5,3),(5,4)],7)=>400
([(0,6),(1,6),(3,5),(4,5),(6,2),(6,3),(6,4)],7)=>720
([(0,6),(1,6),(2,5),(3,5),(5,4),(5,6)],7)=>192
([(0,5),(1,5),(2,4),(3,4),(4,6),(5,6)],7)=>324
([(0,6),(1,6),(2,5),(3,4)],7)=>16
([(0,6),(1,6),(2,3),(4,5),(6,4)],7)=>192
([(0,6),(1,6),(4,3),(5,2),(6,4),(6,5)],7)=>720
([(0,6),(1,6),(2,5),(3,4),(6,3),(6,5)],7)=>400
([(0,6),(1,5),(2,5),(3,4),(5,6)],7)=>72
([(0,4),(1,4),(2,6),(3,5),(4,5),(4,6)],7)=>192
([(0,6),(1,5),(2,5),(3,4),(5,6),(6,3)],7)=>2400
([(0,4),(1,4),(2,5),(3,6),(4,6),(6,5)],7)=>576
([(0,6),(1,6),(2,5),(3,4),(3,6)],7)=>24
([(0,6),(1,6),(2,3),(2,6),(4,5),(6,4)],7)=>480
([(0,6),(1,6),(2,5),(3,4),(3,6),(6,5)],7)=>144
([(0,6),(1,6),(2,5),(3,4),(3,6),(4,5)],7)=>64
([(0,6),(1,6),(2,3),(2,6),(3,5),(4,5),(6,4)],7)=>960
([(0,6),(1,5),(2,5),(3,4),(3,5),(4,6),(5,6)],7)=>288
([(0,6),(1,6),(2,5),(2,6),(3,4),(3,6)],7)=>36
([(0,6),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5)],7)=>96
([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5)],7)=>36
([(0,6),(1,6),(2,4),(2,6),(3,4),(3,5),(6,5)],7)=>216
([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>48
([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(4,6)],7)=>96
([(0,6),(1,6),(2,5),(3,4),(3,6),(5,6)],7)=>72
([(0,6),(1,6),(2,5),(2,6),(3,4),(4,5)],7)=>72
([(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)=>24
([(0,5),(1,4),(2,4),(2,6),(3,5),(3,6)],7)=>36
([(0,6),(1,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>48
([(0,6),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>64
([(0,5),(1,4),(1,5),(2,4),(2,6),(3,6),(5,3)],7)=>360
([(0,6),(1,5),(2,4),(2,6),(3,4),(3,5),(5,6)],7)=>144
([(0,6),(1,5),(2,5),(3,4),(3,6),(5,3)],7)=>600
([(0,4),(1,5),(2,5),(3,4),(3,6),(5,6)],7)=>108
([(0,6),(1,5),(1,6),(2,4),(3,4),(4,5),(4,6)],7)=>288
([(0,5),(1,5),(2,3),(2,6),(4,6),(5,4)],7)=>288
([(0,6),(1,6),(3,5),(4,2),(4,5),(6,3),(6,4)],7)=>1080
([(0,5),(1,5),(2,4),(2,6),(3,6),(5,3),(5,4)],7)=>600
([(0,6),(1,5),(2,5),(3,4),(3,6),(5,6)],7)=>108
([(0,6),(1,6),(2,5),(3,4),(3,5),(3,6)],7)=>32
([(0,6),(1,6),(2,5),(3,4),(3,5),(4,6)],7)=>64
([(0,6),(1,5),(2,3),(2,5),(3,6),(4,6),(5,4)],7)=>480
([(0,5),(1,2),(1,5),(2,6),(3,6),(4,6),(5,3),(5,4)],7)=>960
([(0,6),(1,6),(2,5),(3,4),(3,5),(4,6),(5,6)],7)=>192
([(0,4),(1,4),(2,5),(2,6),(3,5),(3,6)],7)=>36
([(0,5),(1,4),(1,6),(2,4),(2,6),(3,5),(3,6)],7)=>54
([(0,5),(0,6),(1,5),(1,6),(2,4),(3,4),(3,5),(3,6)],7)=>72
([(0,6),(1,4),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>96
([(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>128
([(0,5),(0,6),(1,5),(1,6),(2,4),(3,4),(3,5),(4,6)],7)=>216
([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6)],7)=>81
([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5)],7)=>288
([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5)],7)=>81
([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6)],7)=>108
([(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>144
([(0,5),(0,6),(1,4),(1,6),(2,4),(2,5),(3,4),(3,5),(3,6)],7)=>108
([(0,5),(0,6),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>144
([(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>192
([(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)=>256
([(0,6),(1,5),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6)],7)=>192
([(0,5),(0,6),(1,4),(1,6),(2,4),(2,6),(3,5),(4,3)],7)=>450
([(0,4),(1,4),(2,5),(2,6),(3,5),(3,6),(4,3)],7)=>900
([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(6,2),(6,3)],7)=>1620
([(0,5),(1,5),(2,4),(2,6),(3,4),(3,6),(5,6)],7)=>162
([(0,5),(0,6),(1,5),(1,6),(2,4),(3,4),(4,5),(4,6)],7)=>432
([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(3,6)],7)=>48
([(0,6),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>64
([(0,6),(1,4),(1,5),(2,4),(2,5),(3,6),(5,3)],7)=>300
([(0,5),(0,6),(1,5),(1,6),(2,4),(3,4),(6,2),(6,3)],7)=>576
([(0,3),(1,5),(1,6),(2,5),(2,6),(4,3),(5,4),(6,4)],7)=>900
([(0,5),(0,6),(1,5),(1,6),(2,4),(3,4),(5,3),(6,2)],7)=>1296
([(0,5),(0,6),(1,5),(1,6),(2,3),(4,3),(5,4),(6,2),(6,4)],7)=>1728
([(0,5),(0,6),(1,5),(1,6),(3,2),(4,2),(5,3),(5,4),(6,3),(6,4)],7)=>2304
([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(5,6)],7)=>128
([(0,6),(1,4),(1,5),(2,4),(2,5),(3,6),(4,6),(5,3)],7)=>600
([(0,4),(0,5),(1,4),(1,5),(2,6),(3,6),(4,6),(5,2),(5,3)],7)=>1152
([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)=>256
([(0,6),(1,5),(2,3),(2,5),(4,6),(5,4)],7)=>240
([(0,6),(1,2),(1,6),(3,5),(4,5),(6,3),(6,4)],7)=>480
([(0,6),(1,6),(2,5),(3,4),(3,5),(5,6)],7)=>96
([(0,6),(1,6),(2,4),(3,5),(5,6)],7)=>48
([(0,6),(1,6),(2,3),(3,6),(4,5),(6,4)],7)=>1920
([(0,6),(1,6),(2,5),(3,4),(4,6),(6,5)],7)=>432
([(0,6),(1,6),(2,5),(3,4),(4,6),(5,6)],7)=>144
([(0,6),(1,5),(2,5),(3,4),(4,6)],7)=>48
([(0,6),(1,6),(2,5),(3,4),(4,5),(6,3)],7)=>1200
([(0,5),(1,5),(2,3),(3,6),(4,6),(5,4)],7)=>576
([(0,6),(1,6),(2,5),(3,5),(4,3),(6,2),(6,4)],7)=>2160
([(0,5),(1,5),(2,4),(3,6),(4,6),(5,3),(5,4)],7)=>1200
([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)=>216
([(0,6),(1,6),(2,5),(3,4),(4,5),(4,6)],7)=>96
([(0,6),(1,5),(2,3),(3,6),(4,5),(6,4)],7)=>960
([(0,6),(1,2),(2,6),(3,5),(4,5),(6,3),(6,4)],7)=>2400
([(0,6),(1,6),(2,5),(3,4),(4,5),(5,6)],7)=>288
([(3,6),(4,5)],7)=>4
([(3,6),(4,5),(4,6)],7)=>6
([(2,6),(3,4),(3,6),(4,5)],7)=>16
([(1,6),(2,3),(2,6),(3,4),(3,5)],7)=>30
([(0,6),(1,5),(1,6),(5,2),(5,3),(5,4)],7)=>48
([(0,6),(1,4),(1,6),(4,2),(4,3),(4,5),(6,5)],7)=>144
([(0,6),(1,3),(1,6),(3,2),(3,4),(3,5),(6,4),(6,5)],7)=>288
([(0,6),(1,2),(1,6),(2,3),(2,4),(2,5),(6,3),(6,4),(6,5)],7)=>480
([(1,5),(2,3),(2,5),(3,4),(3,6),(5,6)],7)=>90
([(1,4),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7)=>180
([(0,5),(1,4),(1,5),(4,3),(4,6),(5,6),(6,2)],7)=>576
([(0,6),(1,5),(1,6),(5,2),(5,3),(6,4)],7)=>108
([(0,6),(1,4),(1,6),(4,3),(4,5),(6,2),(6,5)],7)=>216
([(0,6),(1,3),(1,6),(3,4),(3,5),(6,2),(6,4),(6,5)],7)=>360
([(2,5),(3,4),(3,5),(4,6),(5,6)],7)=>48
([(1,5),(2,3),(2,5),(3,6),(5,6),(6,4)],7)=>360
([(0,5),(1,4),(1,5),(4,6),(5,6),(6,2),(6,3)],7)=>1440
([(1,6),(2,3),(2,6),(3,5),(6,4)],7)=>60
([(1,5),(2,3),(2,5),(3,6),(5,4),(5,6)],7)=>120
([(0,6),(1,5),(1,6),(5,2),(6,3),(6,4)],7)=>144
([(0,6),(1,4),(1,6),(4,5),(6,2),(6,3),(6,5)],7)=>240
([(1,6),(2,3),(2,6),(3,5),(5,4)],7)=>60
([(1,5),(2,3),(2,5),(3,4),(4,6),(5,6)],7)=>180
([(0,5),(1,4),(1,5),(3,6),(4,3),(5,6),(6,2)],7)=>1728
([(0,6),(1,5),(1,6),(4,2),(5,4),(6,3)],7)=>216
([(0,6),(1,3),(1,6),(3,5),(5,4),(6,2),(6,5)],7)=>720
([(0,6),(1,4),(1,6),(3,5),(4,3),(6,2),(6,5)],7)=>432
([(0,6),(1,4),(1,6),(4,5),(5,2),(5,3)],7)=>144
([(0,6),(1,3),(1,6),(3,4),(4,2),(4,5),(6,5)],7)=>432
([(0,6),(1,2),(1,6),(2,3),(3,4),(3,5),(6,4),(6,5)],7)=>864
([(3,5),(3,6),(4,5),(4,6)],7)=>9
([(2,5),(2,6),(3,5),(3,6),(6,4)],7)=>32
([(1,5),(1,6),(2,5),(2,6),(6,3),(6,4)],7)=>75
([(0,5),(0,6),(1,5),(1,6),(6,2),(6,3),(6,4)],7)=>144
([(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)=>64
([(1,4),(1,5),(2,4),(2,5),(4,6),(5,6),(6,3)],7)=>450
([(1,5),(1,6),(2,5),(2,6),(5,4),(6,3)],7)=>100
([(1,4),(1,6),(2,4),(2,6),(4,5),(6,3),(6,5)],7)=>150
([(1,5),(1,6),(2,5),(2,6),(5,3),(5,4),(6,3),(6,4)],7)=>225
([(0,5),(0,6),(1,5),(1,6),(5,4),(6,2),(6,3)],7)=>216
([(0,5),(0,6),(1,5),(1,6),(5,4),(6,2),(6,3),(6,4)],7)=>288
([(0,5),(0,6),(1,5),(1,6),(5,3),(5,4),(6,2),(6,4)],7)=>324
([(0,5),(0,6),(1,5),(1,6),(5,3),(5,4),(6,2),(6,3),(6,4)],7)=>432
([(0,5),(0,6),(1,5),(1,6),(5,2),(5,3),(5,4),(6,2),(6,3),(6,4)],7)=>576
([(1,5),(1,6),(2,5),(2,6),(3,4)],7)=>18
([(1,6),(2,4),(2,5),(3,4),(3,5),(3,6)],7)=>24
([(0,4),(1,5),(1,6),(2,4),(2,5),(2,6),(6,3)],7)=>80
([(0,4),(1,5),(1,6),(2,4),(2,5),(2,6),(5,3),(6,3)],7)=>160
([(0,6),(1,4),(1,5),(2,4),(2,5),(2,6),(5,3),(6,3)],7)=>240
([(0,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)=>480
([(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>32
([(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(5,3)],7)=>100
([(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,6),(3,5),(4,5)],7)=>200
([(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)=>600
([(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,6),(4,5),(6,5)],7)=>300
([(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(6,3)],7)=>150
([(0,6),(1,4),(1,5),(2,4),(2,5),(2,6),(6,3)],7)=>90
([(1,5),(1,6),(2,5),(2,6),(3,4),(6,3)],7)=>150
([(0,5),(0,6),(1,5),(1,6),(4,3),(5,4),(6,2)],7)=>432
([(0,5),(0,6),(1,5),(1,6),(2,3),(5,4),(6,2),(6,4)],7)=>576
([(0,5),(0,6),(1,5),(1,6),(4,2),(5,3),(5,4),(6,3),(6,4)],7)=>1152
([(0,5),(0,6),(1,5),(1,6),(2,4),(5,2),(5,3),(6,3),(6,4)],7)=>864
([(0,5),(0,6),(1,5),(1,6),(4,3),(5,4),(6,2),(6,4)],7)=>864
([(0,5),(0,6),(1,5),(1,6),(3,4),(5,3),(6,2),(6,4)],7)=>648
([(1,6),(2,4),(2,5),(3,4),(3,5),(5,6)],7)=>64
([(1,4),(1,5),(2,4),(2,5),(3,6),(4,6),(5,3)],7)=>300
([(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)=>128
([(0,6),(1,4),(1,5),(2,4),(2,5),(4,6),(5,6),(6,3)],7)=>1350
([(0,5),(1,4),(1,6),(2,4),(2,6),(4,5),(6,3)],7)=>200
([(0,6),(1,4),(1,5),(2,4),(2,5),(4,6),(5,3),(5,6)],7)=>300
([(0,6),(1,4),(1,5),(2,4),(2,5),(5,6),(6,3)],7)=>450
([(0,4),(1,5),(1,6),(2,5),(2,6),(4,3),(5,4),(6,3)],7)=>900
([(0,5),(0,6),(1,5),(1,6),(2,4),(6,3)],7)=>64
([(0,5),(0,6),(1,5),(1,6),(4,3),(6,2),(6,4)],7)=>288
([(0,5),(0,6),(1,5),(1,6),(3,4),(5,2),(5,3),(6,4)],7)=>576
([(0,5),(1,4),(1,6),(2,4),(2,6),(6,3),(6,5)],7)=>150
([(0,4),(0,5),(1,4),(1,5),(2,3),(4,6),(5,6)],7)=>128
([(0,4),(1,5),(1,6),(2,5),(2,6),(5,3),(6,3),(6,4)],7)=>300
([(0,6),(1,3),(1,4),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7)=>450
([(1,5),(1,6),(2,5),(2,6),(3,4),(3,6)],7)=>27
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,6),(6,4)],7)=>128
([(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5)],7)=>96
([(0,5),(0,6),(1,4),(1,6),(2,4),(2,6),(4,5),(6,3)],7)=>400
([(0,5),(0,6),(1,4),(1,6),(2,4),(2,6),(4,5),(5,3)],7)=>600
([(0,3),(0,6),(1,3),(1,6),(2,5),(2,6),(3,5),(5,4),(6,4)],7)=>1200
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,6),(5,4)],7)=>96
([(0,4),(0,6),(1,4),(1,6),(2,3),(2,6),(4,5),(6,5)],7)=>256
([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(5,3),(5,4)],7)=>225
([(0,3),(0,6),(1,3),(1,6),(2,4),(2,6),(3,4),(3,5),(6,5)],7)=>600
([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>36
([(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(6,3)],7)=>160
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(2,6),(5,4),(6,4)],7)=>320
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4)],7)=>90
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(6,4)],7)=>320
([(0,4),(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)=>640
([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(4,6)],7)=>72
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(3,6),(5,4)],7)=>320
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(3,6),(5,4),(6,4)],7)=>960
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(3,6),(6,4)],7)=>480
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,6),(3,4)],7)=>72
([(0,4),(0,6),(1,4),(1,6),(2,3),(2,6),(3,5),(6,5)],7)=>256
([(0,4),(0,6),(1,4),(1,6),(2,3),(2,6),(3,5),(4,5)],7)=>256
([(0,4),(0,5),(1,4),(1,5),(2,3),(2,5),(3,6),(4,6),(5,6)],7)=>512
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(3,4),(3,6)],7)=>135
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(3,4),(3,6),(5,4)],7)=>480
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(3,4),(4,6)],7)=>270
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4)],7)=>27
([(0,5),(0,6),(1,5),(1,6),(4,2),(4,3),(6,4)],7)=>432
([(0,5),(0,6),(1,5),(1,6),(4,2),(4,3),(5,4),(6,4)],7)=>1728
([(0,5),(0,6),(1,5),(1,6),(3,2),(3,4),(5,3),(6,4)],7)=>864
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(5,2),(6,3),(6,4)],7)=>1296
([(0,4),(0,5),(1,4),(1,5),(2,3),(2,6),(5,6)],7)=>96
([(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(6,3),(6,4)],7)=>225
([(0,4),(0,5),(1,4),(1,5),(2,3),(2,6),(4,6),(5,6)],7)=>192
([(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(5,4),(6,3)],7)=>300
([(0,5),(0,6),(1,3),(1,4),(2,3),(2,4),(3,6),(4,5),(4,6)],7)=>450
([(0,5),(0,6),(1,3),(1,4),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7)=>675
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6)],7)=>36
([(0,4),(0,6),(1,4),(1,6),(2,3),(2,5),(2,6),(4,5)],7)=>128
([(0,3),(0,6),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5)],7)=>300
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>45
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(4,6)],7)=>90
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(3,6),(4,6)],7)=>180
([(0,5),(0,6),(1,2),(1,4),(3,5),(3,6),(4,3)],7)=>216
([(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(4,1),(4,2)],7)=>315
([(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(3,2),(4,1)],7)=>1008
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(4,6)],7)=>72
([(0,4),(0,6),(1,4),(1,6),(2,3),(2,5),(3,6),(4,5)],7)=>256
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(4,5),(4,6)],7)=>135
([(0,5),(0,6),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,2)],7)=>648
([(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,1),(4,2)],7)=>945
([(0,5),(0,6),(1,2),(1,4),(2,6),(3,5),(3,6),(4,3)],7)=>432
([(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(3,6),(4,1),(4,2)],7)=>630
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(3,6),(4,6)],7)=>144
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(3,6),(4,5)],7)=>180
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(3,6),(4,5),(4,6)],7)=>270
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7)=>405
([(1,5),(1,6),(2,5),(2,6),(3,4),(4,6)],7)=>54
([(0,5),(0,6),(1,5),(1,6),(2,3),(3,6),(6,4)],7)=>384
([(0,5),(0,6),(1,5),(1,6),(2,3),(3,6),(5,4)],7)=>192
([(0,4),(0,6),(1,4),(1,6),(2,3),(3,6),(4,5),(6,5)],7)=>768
([(1,5),(1,6),(2,5),(2,6),(3,4),(4,5),(4,6)],7)=>108
([(0,5),(0,6),(1,5),(1,6),(2,4),(4,5),(4,6),(6,3)],7)=>640
([(0,5),(0,6),(1,5),(1,6),(2,3),(3,5),(3,6),(5,4),(6,4)],7)=>1280
([(0,5),(0,6),(1,5),(1,6),(2,3),(3,4)],7)=>54
([(0,5),(0,6),(1,5),(1,6),(3,4),(4,2),(6,3)],7)=>864
([(0,5),(0,6),(1,5),(1,6),(2,3),(4,2),(5,4),(6,4)],7)=>3456
([(0,5),(0,6),(1,5),(1,6),(3,4),(4,2),(5,3),(6,4)],7)=>2592
([(0,5),(0,6),(1,5),(1,6),(2,3),(3,4),(5,2),(6,4)],7)=>1728
([(0,4),(0,5),(1,4),(1,5),(2,3),(3,6),(5,6)],7)=>192
([(0,4),(0,5),(1,4),(1,5),(2,3),(3,6),(4,6),(5,6)],7)=>384
([(0,5),(0,6),(1,4),(3,5),(3,6),(4,2),(4,3)],7)=>270
([(0,4),(2,5),(2,6),(3,5),(3,6),(4,1),(4,2),(4,3)],7)=>378
([(0,5),(0,6),(1,5),(1,6),(2,3),(3,4),(3,6)],7)=>108
([(0,4),(0,6),(1,4),(1,6),(2,3),(3,5),(3,6),(4,5)],7)=>384
([(0,5),(0,6),(1,5),(1,6),(2,3),(3,4),(3,5),(3,6)],7)=>180
([(0,5),(0,6),(1,5),(1,6),(2,3),(3,4),(3,6),(4,5)],7)=>360
([(0,5),(0,6),(1,5),(1,6),(2,3),(3,4),(4,6)],7)=>216
([(0,5),(0,6),(1,4),(2,6),(3,5),(3,6),(4,2),(4,3)],7)=>540
([(0,4),(1,6),(2,5),(2,6),(3,5),(3,6),(4,1),(4,2),(4,3)],7)=>756
([(0,5),(0,6),(1,5),(1,6),(2,3),(3,4),(4,5),(4,6)],7)=>540
([(0,5),(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,2),(4,3)],7)=>810
([(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,1),(4,2),(4,3)],7)=>1134
([(2,6),(3,4),(3,6),(6,5)],7)=>24
([(1,6),(2,3),(2,6),(6,4),(6,5)],7)=>60
([(0,6),(1,2),(1,6),(6,3),(6,4),(6,5)],7)=>120
([(2,6),(3,4),(3,5)],7)=>6
([(2,6),(3,4),(3,5),(3,6)],7)=>8
([(1,6),(2,3),(2,4),(2,6),(4,5)],7)=>20
([(0,6),(1,4),(1,5),(1,6),(5,2),(5,3)],7)=>36
([(0,6),(1,3),(1,4),(1,6),(4,2),(4,5),(6,5)],7)=>108
([(0,6),(1,2),(1,3),(1,6),(3,4),(3,5),(6,4),(6,5)],7)=>216
([(1,5),(2,3),(2,4),(2,5),(4,6),(5,6)],7)=>60
([(0,5),(1,3),(1,4),(1,5),(4,6),(5,6),(6,2)],7)=>432
([(0,6),(1,3),(1,5),(1,6),(5,2),(6,4)],7)=>72
([(0,6),(1,3),(1,4),(1,6),(4,5),(6,2),(6,5)],7)=>144
([(1,5),(2,3),(2,4),(2,5),(3,6),(4,6)],7)=>40
([(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)=>120
([(0,5),(1,2),(1,3),(1,5),(2,6),(3,6),(5,6),(6,4)],7)=>1296
([(0,6),(1,3),(1,4),(1,6),(3,5),(4,5),(6,2)],7)=>144
([(0,5),(1,2),(1,3),(1,5),(2,6),(3,6),(5,4),(5,6)],7)=>288
([(0,5),(1,3),(1,4),(1,5),(3,6),(4,6),(6,2)],7)=>216
([(0,6),(1,2),(1,3),(1,6),(2,5),(3,5),(5,4),(6,4)],7)=>648
([(0,6),(1,4),(1,5),(1,6),(4,3),(5,2)],7)=>48
([(0,6),(1,3),(1,4),(1,6),(3,5),(4,2),(4,5)],7)=>72
([(0,6),(1,2),(1,3),(1,6),(2,5),(3,4),(3,5),(6,4)],7)=>216
([(0,4),(1,2),(1,3),(1,4),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>432
([(0,5),(1,3),(1,4),(1,5),(3,6),(4,2),(4,6),(5,6)],7)=>216
([(0,6),(1,2),(1,3),(1,6),(2,4),(2,5),(3,4),(3,5)],7)=>108
([(0,4),(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,6)],7)=>324
([(0,4),(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>648
([(0,6),(1,3),(1,4),(1,6),(3,5),(4,2),(6,5)],7)=>144
([(0,6),(1,2),(1,3),(1,6),(2,5),(3,4),(6,4),(6,5)],7)=>288
([(1,6),(2,3),(2,4),(2,6),(6,5)],7)=>30
([(0,6),(1,2),(1,3),(1,6),(6,4),(6,5)],7)=>72
([(1,6),(2,3),(2,4),(2,5)],7)=>8
([(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>10
([(0,6),(1,3),(1,4),(1,5),(1,6),(5,2)],7)=>24
([(0,6),(1,2),(1,3),(1,4),(1,6),(4,5),(6,5)],7)=>72
([(0,6),(1,2),(1,3),(1,4),(1,6),(3,5),(4,5)],7)=>48
([(0,5),(1,2),(1,3),(1,4),(1,5),(3,6),(4,6),(5,6)],7)=>144
([(0,5),(1,2),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6)],7)=>96
([(0,5),(1,2),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,6)],7)=>288
([(0,6),(1,2),(1,3),(1,4),(1,6),(6,5)],7)=>36
([(0,6),(1,2),(1,3),(1,4),(1,5)],7)=>10
([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>12
([(0,2),(0,3),(0,4),(0,6),(5,1),(6,5)],7)=>42
([(0,6),(1,2),(1,3),(1,4),(1,5),(5,6)],7)=>24
([(0,2),(0,3),(0,4),(0,5),(1,6),(4,6),(5,1)],7)=>84
([(0,6),(1,2),(1,3),(1,4),(1,5),(4,6),(5,6)],7)=>48
([(0,2),(0,3),(0,4),(0,5),(1,6),(3,6),(4,6),(5,1)],7)=>168
([(0,6),(1,2),(1,3),(1,4),(1,5),(3,6),(4,6),(5,6)],7)=>96
([(0,2),(0,3),(0,4),(0,5),(1,6),(2,6),(3,6),(4,6),(5,1)],7)=>336
([(0,6),(1,2),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,6)],7)=>192
([(0,5),(1,2),(1,3),(1,4),(1,6),(5,6)],7)=>30
([(0,4),(1,2),(1,3),(1,5),(1,6),(4,5),(4,6)],7)=>60
([(0,3),(1,2),(1,4),(1,5),(1,6),(3,4),(3,5),(3,6)],7)=>100
([(0,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>150
([(1,3),(1,4),(1,6),(5,2),(6,5)],7)=>36
([(0,3),(0,4),(0,5),(5,6),(6,1),(6,2)],7)=>84
([(1,6),(2,3),(2,4),(2,5),(5,6)],7)=>20
([(0,6),(1,2),(1,3),(1,4),(4,6),(6,5)],7)=>108
([(1,2),(1,4),(1,5),(3,6),(4,6),(5,3)],7)=>72
([(0,3),(0,4),(0,5),(1,6),(4,6),(5,1),(6,2)],7)=>504
([(1,6),(2,3),(2,4),(2,5),(4,6),(5,6)],7)=>40
([(0,6),(1,2),(1,3),(1,4),(3,6),(4,6),(6,5)],7)=>324
([(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,2)],7)=>144
([(0,3),(0,4),(0,5),(1,6),(3,6),(4,6),(5,1),(6,2)],7)=>1512
([(1,6),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)=>80
([(0,6),(1,2),(1,3),(1,4),(2,6),(3,6),(4,6),(6,5)],7)=>972
([(0,6),(1,3),(1,4),(1,5),(3,6),(4,6),(5,2)],7)=>96
([(0,6),(1,2),(1,3),(1,4),(2,6),(3,6),(4,5),(6,5)],7)=>648
([(0,3),(0,4),(0,5),(2,6),(3,6),(4,6),(5,1),(5,2)],7)=>224
([(0,6),(1,3),(1,4),(1,5),(3,6),(4,6),(5,2),(5,6)],7)=>144
([(0,6),(1,3),(1,4),(1,5),(4,6),(5,2)],7)=>48
([(0,6),(1,2),(1,3),(1,4),(3,6),(4,5),(6,5)],7)=>216
([(0,3),(0,4),(0,5),(2,6),(4,6),(5,1),(5,2)],7)=>112
([(0,6),(1,3),(1,4),(1,5),(4,6),(5,2),(5,6)],7)=>72
search for individual values
searching the database for the individual values of this statistic
/
search for generating function
searching the database for statistics with the same generating function
Description
The product of the sizes of the principal order filters in a poset.
Code
def statistic(P): return prod(len(P.principal_order_filter(x)) for x in P)
Created
Jul 07, 2022 at 23:30 by Martin Rubey
Updated
Jul 07, 2022 at 23:30 by Martin Rubey
searching the database
Sorry, this statistic was not found in the database
or
add this statistic to the database – it's very simple and we need your support!