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)=>4
([(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)=>4
([(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)=>4
([(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)=>5
([(1,2),(1,3),(1,4)],5)=>5
([(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)=>4
([(0,1),(0,2),(0,3),(1,4),(2,4),(3,4)],5)=>3
([(1,3),(1,4),(4,2)],5)=>5
([(0,3),(0,4),(4,1),(4,2)],5)=>4
([(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)=>4
([(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)=>5
([(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)=>5
([(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)=>5
([(0,4),(1,3),(2,3),(2,4)],5)=>5
([(0,4),(1,3),(1,4),(2,3),(2,4)],5)=>5
([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4)],5)=>3
([(0,4),(1,4),(2,3),(4,2)],5)=>2
([(0,4),(1,3),(2,3),(3,4)],5)=>4
([(0,4),(1,4),(2,3),(2,4)],5)=>5
([(0,4),(1,4),(2,3),(3,4)],5)=>4
([(1,4),(2,3)],5)=>5
([(1,4),(2,3),(2,4)],5)=>5
([(0,4),(1,2),(1,4),(2,3)],5)=>5
([(0,3),(1,2),(1,3),(2,4),(3,4)],5)=>4
([(1,3),(1,4),(2,3),(2,4)],5)=>5
([(0,3),(0,4),(1,3),(1,4),(4,2)],5)=>3
([(0,3),(0,4),(1,3),(1,4),(3,2),(4,2)],5)=>2
([(0,4),(1,2),(1,4),(4,3)],5)=>5
([(0,4),(1,2),(1,3)],5)=>5
([(0,4),(1,2),(1,3),(1,4)],5)=>5
([(0,2),(0,4),(3,1),(4,3)],5)=>4
([(0,4),(1,2),(1,3),(3,4)],5)=>5
([(0,2),(0,3),(1,4),(2,4),(3,1)],5)=>3
([(0,4),(1,2),(1,3),(2,4),(3,4)],5)=>4
([(0,3),(0,4),(1,2),(1,4)],5)=>5
([(0,3),(0,4),(1,2),(1,3),(1,4)],5)=>5
([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4)],5)=>3
([(0,3),(0,4),(1,2),(1,3),(2,4)],5)=>5
([(0,3),(1,2),(1,4),(3,4)],5)=>5
([(0,3),(0,4),(1,2),(2,3),(2,4)],5)=>3
([(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)=>5
([(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)=>5
([(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)=>6
([(2,3),(2,4),(2,5)],6)=>6
([(1,2),(1,3),(1,4),(1,5)],6)=>6
([(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)=>5
([(0,1),(0,2),(0,3),(0,4),(2,5),(3,5),(4,5)],6)=>5
([(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)=>6
([(0,3),(0,4),(0,5),(5,1),(5,2)],6)=>5
([(1,2),(1,3),(1,4),(3,5),(4,5)],6)=>6
([(1,2),(1,3),(1,4),(2,5),(3,5),(4,5)],6)=>6
([(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)=>5
([(0,1),(0,2),(0,3),(1,5),(2,4),(3,4),(3,5)],6)=>5
([(0,1),(0,2),(0,3),(1,5),(2,4),(2,5),(3,4),(3,5)],6)=>5
([(0,1),(0,2),(0,3),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6)=>3
([(0,2),(0,3),(0,4),(2,5),(3,5),(4,1),(4,5)],6)=>5
([(0,1),(0,2),(0,3),(1,5),(2,4),(3,4),(4,5)],6)=>4
([(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)=>5
([(0,1),(0,2),(0,3),(2,4),(2,5),(3,4),(3,5)],6)=>5
([(2,3),(2,4),(4,5)],6)=>6
([(1,4),(1,5),(5,2),(5,3)],6)=>6
([(0,4),(0,5),(5,1),(5,2),(5,3)],6)=>5
([(2,3),(2,4),(3,5),(4,5)],6)=>6
([(1,2),(1,3),(2,5),(3,5),(5,4)],6)=>6
([(0,3),(0,4),(3,5),(4,5),(5,1),(5,2)],6)=>2
([(1,4),(1,5),(4,3),(5,2)],6)=>6
([(1,3),(1,4),(3,5),(4,2),(4,5)],6)=>6
([(1,2),(1,3),(2,4),(2,5),(3,4),(3,5)],6)=>6
([(0,2),(0,3),(2,4),(2,5),(3,4),(3,5),(5,1)],6)=>3
([(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)=>5
([(0,4),(0,5),(4,3),(5,1),(5,2)],6)=>5
([(0,3),(0,4),(3,5),(4,1),(4,2),(4,5)],6)=>5
([(0,3),(0,4),(3,2),(3,5),(4,1),(4,5)],6)=>5
([(0,2),(0,3),(2,4),(2,5),(3,1),(3,4),(3,5)],6)=>5
([(0,1),(0,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6)=>3
([(3,4),(4,5)],6)=>6
([(2,3),(3,4),(3,5)],6)=>6
([(1,5),(5,2),(5,3),(5,4)],6)=>6
([(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)=>6
([(0,4),(4,5),(5,1),(5,2),(5,3)],6)=>3
([(3,5),(4,5)],6)=>6
([(2,5),(3,5),(5,4)],6)=>6
([(1,5),(2,5),(5,3),(5,4)],6)=>6
([(0,5),(1,5),(5,2),(5,3),(5,4)],6)=>3
([(2,5),(3,5),(4,5)],6)=>6
([(1,5),(2,5),(3,5),(5,4)],6)=>6
([(0,5),(1,5),(2,5),(5,3),(5,4)],6)=>3
([(1,5),(2,5),(3,5),(4,5)],6)=>6
([(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)=>6
([(0,5),(1,5),(2,5),(3,4),(5,3)],6)=>3
([(0,5),(1,5),(2,5),(3,4),(5,4)],6)=>5
([(0,5),(1,5),(2,5),(3,4),(3,5)],6)=>6
([(0,5),(1,5),(2,5),(3,4),(4,5)],6)=>5
([(1,5),(2,5),(3,4)],6)=>6
([(1,5),(2,4),(3,4),(3,5)],6)=>6
([(0,5),(1,4),(2,4),(2,5),(5,3)],6)=>6
([(0,4),(1,3),(2,3),(2,4),(3,5),(4,5)],6)=>5
([(1,5),(2,4),(2,5),(3,4),(3,5)],6)=>6
([(0,5),(1,4),(1,5),(2,4),(2,5),(4,3)],6)=>6
([(0,5),(1,3),(1,5),(2,3),(2,5),(3,4),(5,4)],6)=>5
([(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6)=>6
([(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)=>3
([(0,5),(1,4),(1,5),(2,4),(2,5),(5,3)],6)=>6
([(1,5),(2,5),(3,4),(5,3)],6)=>6
([(1,5),(2,4),(3,4),(4,5)],6)=>6
([(0,5),(1,4),(2,4),(4,5),(5,3)],6)=>4
([(0,5),(1,5),(2,3),(5,4)],6)=>6
([(0,5),(1,5),(4,2),(5,3),(5,4)],6)=>3
([(0,5),(1,5),(2,4),(5,3),(5,4)],6)=>6
([(1,5),(2,5),(3,4),(3,5)],6)=>6
([(0,5),(1,5),(2,3),(2,5),(5,4)],6)=>6
([(0,5),(1,5),(2,3),(2,5),(3,4)],6)=>6
([(0,5),(1,5),(2,3),(2,5),(3,4),(5,4)],6)=>5
([(0,5),(1,5),(2,3),(2,4)],6)=>6
([(0,5),(1,5),(4,2),(4,3),(5,4)],6)=>2
([(0,4),(1,4),(2,3),(2,5),(4,5)],6)=>6
([(0,3),(1,3),(2,4),(2,5),(3,4),(3,5)],6)=>4
([(0,5),(1,5),(2,3),(2,4),(2,5)],6)=>6
([(0,5),(1,2),(1,4),(3,5),(4,3)],6)=>6
([(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)=>6
([(0,5),(1,3),(1,4),(2,5),(3,5),(4,2)],6)=>5
([(0,3),(0,4),(1,5),(2,5),(3,5),(4,1),(4,2)],6)=>4
([(0,5),(1,5),(2,3),(2,4),(3,5),(4,5)],6)=>5
([(1,5),(2,5),(3,4),(4,5)],6)=>6
([(0,5),(1,5),(2,3),(3,5),(5,4)],6)=>4
([(0,5),(1,5),(2,3),(3,4)],6)=>6
([(0,5),(1,5),(3,2),(4,3),(5,4)],6)=>2
([(0,4),(1,4),(2,3),(3,5),(4,5)],6)=>5
([(0,5),(1,4),(3,5),(4,2),(4,3)],6)=>6
([(0,4),(2,5),(3,5),(4,1),(4,2),(4,3)],6)=>4
([(0,5),(1,5),(2,3),(3,4),(3,5)],6)=>6
([(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)=>6
([(0,5),(1,5),(2,4),(3,4),(3,5)],6)=>6
([(0,5),(1,5),(2,4),(2,5),(3,4),(3,5)],6)=>6
([(0,5),(1,4),(2,4),(2,5),(3,4),(3,5)],6)=>6
([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6)=>6
([(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)=>5
([(2,5),(3,4)],6)=>6
([(2,5),(3,4),(3,5)],6)=>6
([(1,5),(2,3),(2,5),(3,4)],6)=>6
([(0,5),(1,4),(1,5),(4,2),(4,3)],6)=>6
([(0,4),(1,2),(1,4),(2,3),(2,5),(4,5)],6)=>6
([(0,5),(1,2),(1,5),(2,3),(2,4),(5,3),(5,4)],6)=>4
([(1,4),(2,3),(2,4),(3,5),(4,5)],6)=>6
([(0,4),(1,2),(1,4),(2,5),(4,5),(5,3)],6)=>4
([(0,5),(1,4),(1,5),(4,2),(5,3)],6)=>6
([(0,4),(1,2),(1,4),(2,5),(4,3),(4,5)],6)=>6
([(2,4),(2,5),(3,4),(3,5)],6)=>6
([(1,4),(1,5),(2,4),(2,5),(5,3)],6)=>6
([(0,4),(0,5),(1,4),(1,5),(5,2),(5,3)],6)=>4
([(1,3),(1,4),(2,3),(2,4),(3,5),(4,5)],6)=>6
([(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)=>4
([(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)=>3
([(0,5),(1,3),(1,4),(2,3),(2,4),(4,5)],6)=>6
([(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)=>6
([(0,4),(0,5),(1,3),(1,5),(2,3),(2,5),(3,4)],6)=>6
([(0,4),(0,5),(1,4),(1,5),(2,3),(2,4),(2,5)],6)=>6
([(0,4),(0,5),(1,4),(1,5),(2,3),(2,4),(3,5)],6)=>6
([(0,4),(0,5),(1,4),(1,5),(2,3),(3,5)],6)=>6
([(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)=>6
([(0,5),(1,2),(1,5),(5,3),(5,4)],6)=>6
([(1,5),(2,3),(2,4)],6)=>6
([(1,5),(2,3),(2,4),(2,5)],6)=>6
([(0,5),(1,3),(1,4),(1,5),(4,2)],6)=>6
([(0,4),(1,2),(1,3),(1,4),(3,5),(4,5)],6)=>6
([(0,4),(1,2),(1,3),(1,4),(2,5),(3,5)],6)=>6
([(0,4),(1,2),(1,3),(1,4),(2,5),(3,5),(4,5)],6)=>5
([(0,5),(1,2),(1,3),(1,5),(5,4)],6)=>6
([(0,5),(1,2),(1,3),(1,4)],6)=>6
([(0,5),(1,2),(1,3),(1,4),(1,5)],6)=>6
([(0,2),(0,3),(0,5),(4,1),(5,4)],6)=>5
([(0,5),(1,2),(1,3),(1,4),(4,5)],6)=>6
([(0,2),(0,3),(0,4),(1,5),(3,5),(4,1)],6)=>5
([(0,5),(1,2),(1,3),(1,4),(3,5),(4,5)],6)=>6
([(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)=>5
([(0,4),(1,2),(1,3),(1,5),(4,5)],6)=>6
([(0,3),(1,2),(1,4),(1,5),(3,4),(3,5)],6)=>6
([(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)=>6
([(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)=>5
([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)=>4
([(0,3),(0,4),(2,5),(3,2),(4,1),(4,5)],6)=>5
([(0,2),(0,3),(1,4),(2,4),(2,5),(3,1),(3,5)],6)=>5
([(1,5),(2,3),(2,4),(4,5)],6)=>6
([(0,5),(1,2),(1,3),(3,5),(5,4)],6)=>6
([(1,3),(1,4),(2,5),(3,5),(4,2)],6)=>6
([(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)=>6
([(0,5),(1,2),(1,3),(2,5),(3,5),(5,4)],6)=>4
([(0,5),(1,3),(1,4),(3,5),(4,2)],6)=>6
([(0,4),(1,2),(1,3),(2,5),(3,4),(3,5)],6)=>6
([(0,5),(1,2),(1,3),(2,4),(2,5),(3,4),(3,5)],6)=>6
([(0,4),(1,2),(1,3),(2,5),(3,4),(4,5)],6)=>5
([(0,3),(0,4),(2,5),(3,5),(4,1),(4,2)],6)=>5
([(0,5),(1,3),(1,4),(3,5),(4,2),(4,5)],6)=>6
([(0,4),(1,3),(1,5),(5,2)],6)=>6
([(0,3),(0,5),(4,2),(5,1),(5,4)],6)=>5
([(0,5),(1,3),(1,4),(4,2),(4,5)],6)=>6
([(0,4),(1,2),(1,3),(3,5),(4,5)],6)=>6
([(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)=>5
([(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)=>6
([(1,4),(1,5),(2,3),(2,4),(2,5)],6)=>6
([(0,4),(0,5),(1,3),(1,4),(1,5),(5,2)],6)=>6
([(0,4),(0,5),(1,2),(1,4),(1,5),(4,3),(5,3)],6)=>6
([(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6)=>6
([(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)=>4
([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,5),(3,5),(4,5)],6)=>3
([(0,4),(0,5),(1,2),(1,4),(1,5),(2,3)],6)=>6
([(0,4),(0,5),(1,2),(1,4),(1,5),(2,3),(5,3)],6)=>6
([(0,3),(0,4),(1,2),(1,3),(1,4),(2,5),(3,5),(4,5)],6)=>5
([(0,4),(0,5),(1,3),(1,5),(5,2)],6)=>6
([(1,4),(1,5),(2,3),(2,4),(3,5)],6)=>6
([(0,4),(0,5),(1,2),(1,4),(2,5),(4,3)],6)=>6
([(0,4),(0,5),(1,2),(1,4),(2,5),(5,3)],6)=>6
([(0,2),(0,5),(1,4),(1,5),(2,4),(4,3),(5,3)],6)=>5
([(0,3),(0,5),(1,4),(1,5),(4,2)],6)=>6
([(0,2),(0,4),(1,3),(1,4),(3,5),(4,5)],6)=>6
([(0,4),(0,5),(1,2),(1,4),(2,3),(2,5)],6)=>6
([(0,2),(0,5),(1,4),(1,5),(2,3),(2,4),(5,3)],6)=>6
([(0,3),(0,4),(1,2),(1,4),(2,5),(3,5)],6)=>6
([(0,3),(0,4),(1,2),(1,4),(2,5),(3,5),(4,5)],6)=>5
([(0,4),(0,5),(1,2),(1,4),(2,3),(3,5)],6)=>6
([(0,4),(0,5),(1,2),(1,3)],6)=>6
([(0,4),(0,5),(1,2),(1,3),(1,5)],6)=>6
([(0,4),(0,5),(1,2),(1,3),(1,4),(1,5)],6)=>6
([(0,4),(0,5),(1,2),(1,3),(1,4),(3,5)],6)=>6
([(0,4),(0,5),(1,2),(1,3),(1,4),(2,5),(3,5)],6)=>6
([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5)],6)=>6
([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5)],6)=>6
([(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)=>6
([(0,3),(0,4),(1,2),(1,4),(1,5),(3,5)],6)=>6
([(0,2),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4)],6)=>6
([(0,4),(0,5),(1,2),(1,3),(3,5)],6)=>6
([(0,4),(0,5),(1,2),(1,3),(3,4),(3,5)],6)=>6
([(0,2),(0,3),(1,4),(1,5),(2,4),(2,5),(3,1)],6)=>3
([(0,2),(0,4),(2,5),(3,1),(3,5),(4,3)],6)=>5
([(0,4),(0,5),(1,2),(1,3),(2,5),(3,5)],6)=>6
([(0,4),(0,5),(1,2),(1,3),(2,5),(3,4)],6)=>6
([(0,4),(0,5),(1,2),(1,3),(2,5),(3,4),(3,5)],6)=>6
([(0,4),(0,5),(1,2),(1,3),(2,4),(2,5),(3,4),(3,5)],6)=>4
([(0,3),(0,5),(1,2),(1,4),(2,5),(3,4)],6)=>6
([(1,4),(2,3),(2,5),(4,5)],6)=>6
([(0,4),(1,3),(1,5),(4,5),(5,2)],6)=>6
([(1,4),(1,5),(2,3),(3,4),(3,5)],6)=>6
([(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)=>3
([(0,3),(1,4),(1,5),(3,5),(4,2)],6)=>6
([(0,3),(1,2),(1,4),(2,5),(3,4),(4,5)],6)=>5
([(0,3),(1,2),(1,4),(2,5),(3,4),(3,5)],6)=>6
([(0,5),(1,3),(1,4),(5,2)],6)=>6
([(0,2),(0,5),(3,4),(4,1),(5,3)],6)=>5
([(0,5),(4,2),(4,3),(5,1),(5,4)],6)=>4
([(0,4),(1,3),(1,5),(4,2),(4,5)],6)=>6
([(0,4),(0,5),(1,2),(2,3),(2,4),(2,5)],6)=>6
([(0,4),(0,5),(1,2),(2,3),(2,5),(3,4)],6)=>6
([(2,5),(3,4),(4,5)],6)=>6
([(1,5),(2,3),(3,5),(5,4)],6)=>6
([(0,5),(1,2),(2,5),(5,3),(5,4)],6)=>3
([(1,3),(2,4),(4,5)],6)=>6
([(1,5),(4,3),(5,2),(5,4)],6)=>6
([(1,5),(2,3),(3,4),(3,5)],6)=>6
([(0,5),(1,4),(4,2),(4,5),(5,3)],6)=>6
([(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)=>6
([(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)=>6
([(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)=>6
([(0,3),(1,2),(2,4),(2,5),(3,4),(3,5)],6)=>4
([(1,5),(2,3),(3,4),(4,5)],6)=>6
([(1,4),(2,5),(3,5),(4,2),(4,3)],6)=>6
([(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)=>6
([(0,5),(1,4),(2,3),(2,4),(2,5)],6)=>6
([(0,5),(1,4),(1,5),(3,2),(4,3)],6)=>6
([(0,4),(1,2),(1,4),(2,3),(3,5),(4,5)],6)=>5
([(0,5),(1,4),(2,3),(2,4),(3,5)],6)=>6
([(0,4),(1,2),(1,4),(2,5),(3,5),(4,3)],6)=>5
([(0,5),(1,4),(2,3),(2,4),(3,5),(4,5)],6)=>5
([(0,5),(1,3),(1,5),(4,2),(5,4)],6)=>6
([(0,5),(1,4),(2,3),(2,4),(4,5)],6)=>6
([(0,4),(1,4),(1,5),(2,3),(2,5)],6)=>6
([(0,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6)=>6
([(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6)=>6
([(0,4),(0,5),(1,3),(1,5),(2,3),(2,4)],6)=>6
([(0,4),(0,5),(1,3),(1,5),(2,3),(2,4),(2,5)],6)=>6
([(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6)=>6
([(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)=>6
([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5)],6)=>6
([(0,5),(1,4),(1,5),(2,3),(2,4),(3,5)],6)=>6
([(0,5),(1,4),(1,5),(2,3),(2,5)],6)=>6
([(0,5),(1,4),(1,5),(2,3),(2,5),(3,4)],6)=>6
([(0,4),(1,4),(1,5),(2,3),(3,5)],6)=>6
([(0,5),(1,4),(1,5),(2,3),(3,4),(3,5)],6)=>6
([(0,4),(1,3),(1,5),(2,5),(4,2)],6)=>6
([(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)=>4
([(0,5),(1,4),(2,3),(2,5),(4,5)],6)=>6
([(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)=>6
([(0,5),(1,2),(2,3),(2,5),(3,4),(5,4)],6)=>5
([(0,4),(3,2),(4,5),(5,1),(5,3)],6)=>3
([(0,5),(1,3),(3,4),(4,2),(4,5)],6)=>6
([(0,5),(2,4),(3,2),(4,1),(5,3)],6)=>1
([(0,5),(1,3),(2,4),(4,5)],6)=>6
([(0,5),(1,4),(2,3),(3,4),(3,5)],6)=>6
([(0,5),(1,3),(3,5),(4,2),(5,4)],6)=>3
([(0,5),(1,4),(2,3),(3,5),(5,4)],6)=>5
([(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)=>7
([(3,4),(3,5),(3,6)],7)=>7
([(2,3),(2,4),(2,5),(2,6)],7)=>7
([(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>7
([(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)=>6
([(0,1),(0,2),(0,3),(0,4),(0,5),(3,6),(4,6),(5,6)],7)=>6
([(0,1),(0,2),(0,3),(0,4),(0,5),(2,6),(3,6),(4,6),(5,6)],7)=>6
([(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)=>7
([(0,3),(0,4),(0,5),(0,6),(6,1),(6,2)],7)=>6
([(1,2),(1,3),(1,4),(1,5),(4,6),(5,6)],7)=>7
([(1,2),(1,3),(1,4),(1,5),(3,6),(4,6),(5,6)],7)=>7
([(1,2),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,6)],7)=>7
([(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)=>6
([(0,2),(0,3),(0,4),(0,5),(2,6),(3,6),(4,6),(5,1),(5,6)],7)=>6
([(0,1),(0,2),(0,3),(0,4),(1,6),(2,6),(3,6),(4,5),(6,5)],7)=>5
([(0,2),(0,3),(0,4),(0,5),(3,6),(4,6),(5,6),(6,1)],7)=>6
([(0,2),(0,3),(0,4),(0,5),(3,6),(4,6),(5,1)],7)=>6
([(0,1),(0,2),(0,3),(0,4),(2,6),(3,5),(4,5),(4,6)],7)=>6
([(0,1),(0,2),(0,3),(0,4),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>6
([(0,1),(0,2),(0,3),(0,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>6
([(0,2),(0,3),(0,4),(0,5),(3,6),(4,6),(5,1),(5,6)],7)=>6
([(0,1),(0,2),(0,3),(0,4),(1,6),(2,6),(3,5),(4,5)],7)=>6
([(0,1),(0,2),(0,3),(0,4),(1,6),(2,6),(3,5),(4,5),(4,6)],7)=>6
([(0,1),(0,2),(0,3),(0,4),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>6
([(0,1),(0,2),(0,3),(0,4),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)=>6
([(0,1),(0,2),(0,3),(0,4),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>6
([(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)=>5
([(0,1),(0,2),(0,3),(0,4),(2,6),(3,5),(4,5),(5,6)],7)=>6
([(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)=>6
([(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)=>7
([(1,4),(1,5),(1,6),(6,2),(6,3)],7)=>7
([(0,4),(0,5),(0,6),(6,1),(6,2),(6,3)],7)=>6
([(2,3),(2,4),(2,5),(4,6),(5,6)],7)=>7
([(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)=>7
([(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)=>3
([(1,3),(1,4),(1,5),(3,6),(4,6),(5,2)],7)=>7
([(1,2),(1,3),(1,4),(2,6),(3,5),(4,5),(4,6)],7)=>7
([(1,2),(1,3),(1,4),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>7
([(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)=>3
([(0,2),(0,3),(0,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,1)],7)=>6
([(0,1),(0,2),(0,3),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(6,5)],7)=>5
([(0,2),(0,3),(0,4),(2,6),(3,5),(3,6),(4,5),(4,6),(6,1)],7)=>6
([(0,2),(0,3),(0,4),(2,6),(3,5),(4,5),(4,6),(6,1)],7)=>6
([(0,1),(0,2),(0,3),(1,5),(2,4),(3,4),(3,5),(4,6),(5,6)],7)=>5
([(1,3),(1,4),(1,5),(3,6),(4,6),(5,2),(5,6)],7)=>7
([(0,3),(0,4),(0,5),(3,6),(4,6),(5,1),(5,6),(6,2)],7)=>6
([(0,3),(0,4),(0,5),(3,6),(4,6),(5,1),(5,2)],7)=>6
([(0,3),(0,4),(0,5),(3,6),(4,6),(5,1),(5,2),(5,6)],7)=>6
([(0,2),(0,3),(0,4),(2,5),(3,5),(4,1),(4,6),(5,6)],7)=>6
([(0,1),(0,2),(0,3),(1,4),(2,4),(3,5),(3,6),(4,5),(4,6)],7)=>4
([(1,2),(1,3),(1,4),(2,6),(3,5),(4,5),(5,6)],7)=>7
([(0,2),(0,3),(0,4),(2,6),(3,5),(4,5),(5,6),(6,1)],7)=>4
([(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)=>6
([(1,2),(1,3),(1,4),(3,6),(4,6),(6,5)],7)=>7
([(0,3),(0,4),(0,5),(4,6),(5,6),(6,1),(6,2)],7)=>6
([(1,4),(1,5),(1,6),(5,3),(6,2)],7)=>7
([(1,3),(1,4),(1,5),(4,6),(5,2),(5,6)],7)=>7
([(1,2),(1,3),(1,4),(3,5),(3,6),(4,5),(4,6)],7)=>7
([(0,2),(0,3),(0,4),(2,5),(2,6),(3,5),(3,6),(4,1)],7)=>6
([(0,2),(0,3),(0,4),(2,5),(2,6),(3,5),(3,6),(4,1),(4,6)],7)=>6
([(0,2),(0,3),(0,4),(2,5),(2,6),(3,5),(3,6),(4,1),(4,5),(4,6)],7)=>6
([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5)],7)=>6
([(0,1),(0,2),(0,3),(1,6),(2,4),(2,5),(3,4),(3,5),(5,6)],7)=>6
([(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)=>6
([(0,1),(0,2),(0,3),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)=>6
([(0,3),(0,4),(0,5),(4,6),(5,1),(5,6),(6,2)],7)=>6
([(0,4),(0,5),(0,6),(5,3),(6,1),(6,2)],7)=>6
([(0,3),(0,4),(0,5),(4,6),(5,1),(5,2),(5,6)],7)=>6
([(0,3),(0,4),(0,5),(4,2),(4,6),(5,1),(5,6)],7)=>6
([(0,2),(0,3),(0,4),(3,5),(3,6),(4,1),(4,5),(4,6)],7)=>6
([(0,1),(0,2),(0,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>6
([(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)=>6
([(0,2),(0,3),(0,4),(2,6),(3,5),(4,1),(4,5),(4,6)],7)=>6
([(0,2),(0,3),(0,4),(2,5),(3,5),(3,6),(4,1),(4,6)],7)=>6
([(0,1),(0,2),(0,3),(1,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>6
([(0,1),(0,2),(0,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>6
([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5)],7)=>6
([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6)],7)=>6
([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>6
([(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)=>6
([(0,1),(0,2),(0,3),(1,5),(2,4),(2,6),(3,4),(3,5),(5,6)],7)=>6
([(0,3),(0,4),(0,5),(3,6),(4,2),(4,6),(5,1),(5,6)],7)=>6
([(0,2),(0,3),(0,4),(2,6),(3,5),(4,1),(4,5),(5,6)],7)=>6
([(3,4),(3,5),(5,6)],7)=>7
([(2,5),(2,6),(6,3),(6,4)],7)=>7
([(1,5),(1,6),(6,2),(6,3),(6,4)],7)=>7
([(0,5),(0,6),(6,1),(6,2),(6,3),(6,4)],7)=>6
([(3,4),(3,5),(4,6),(5,6)],7)=>7
([(2,3),(2,4),(3,6),(4,6),(6,5)],7)=>7
([(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)=>3
([(2,5),(2,6),(5,4),(6,3)],7)=>7
([(2,3),(2,4),(3,6),(4,5),(4,6)],7)=>7
([(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7)=>7
([(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)=>4
([(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)=>4
([(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)=>7
([(0,4),(0,5),(4,6),(5,1),(5,6),(6,2),(6,3)],7)=>6
([(1,5),(1,6),(5,4),(6,2),(6,3)],7)=>7
([(1,4),(1,5),(4,6),(5,2),(5,3),(5,6)],7)=>7
([(0,4),(0,5),(4,6),(5,1),(5,2),(5,6),(6,3)],7)=>6
([(0,5),(0,6),(5,4),(6,1),(6,2),(6,3)],7)=>6
([(0,4),(0,5),(4,6),(5,1),(5,2),(5,3),(5,6)],7)=>6
([(1,4),(1,5),(4,3),(4,6),(5,2),(5,6)],7)=>7
([(1,3),(1,4),(3,5),(3,6),(4,2),(4,5),(4,6)],7)=>7
([(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)=>4
([(0,1),(0,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)=>3
([(0,3),(0,4),(3,5),(3,6),(4,2),(4,5),(4,6),(6,1)],7)=>6
([(0,2),(0,3),(2,4),(2,5),(3,1),(3,4),(3,5),(4,6),(5,6)],7)=>6
([(0,4),(0,5),(4,2),(4,6),(5,1),(5,6),(6,3)],7)=>6
([(0,5),(0,6),(5,3),(5,4),(6,1),(6,2)],7)=>6
([(0,4),(0,5),(4,3),(4,6),(5,1),(5,2),(5,6)],7)=>6
([(0,3),(0,4),(3,5),(3,6),(4,1),(4,2),(4,5),(4,6)],7)=>6
([(0,3),(0,4),(3,2),(3,5),(3,6),(4,1),(4,5),(4,6)],7)=>6
([(0,2),(0,3),(2,4),(2,5),(2,6),(3,1),(3,4),(3,5),(3,6)],7)=>6
([(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)=>7
([(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)=>3
([(4,5),(5,6)],7)=>7
([(3,4),(4,5),(4,6)],7)=>7
([(2,6),(6,3),(6,4),(6,5)],7)=>7
([(1,6),(6,2),(6,3),(6,4),(6,5)],7)=>7
([(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)=>7
([(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)=>7
([(3,6),(4,6),(6,5)],7)=>7
([(2,6),(3,6),(6,4),(6,5)],7)=>7
([(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)=>7
([(2,6),(3,6),(4,6),(6,5)],7)=>7
([(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)=>7
([(1,6),(2,6),(3,6),(4,6),(6,5)],7)=>7
([(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)=>7
([(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)=>7
([(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)=>6
([(0,6),(1,6),(2,6),(3,6),(4,5),(4,6)],7)=>7
([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7)=>6
([(1,6),(2,6),(3,6),(4,5)],7)=>7
([(1,6),(2,6),(3,6),(4,5),(6,4)],7)=>7
([(1,6),(2,6),(3,6),(4,5),(6,5)],7)=>7
([(0,6),(1,6),(2,6),(3,4),(6,5)],7)=>7
([(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)=>7
([(1,6),(2,6),(3,6),(4,5),(4,6)],7)=>7
([(0,6),(1,6),(2,6),(3,4),(3,6),(6,5)],7)=>7
([(0,6),(1,6),(2,6),(3,4),(3,6),(4,5)],7)=>7
([(0,6),(1,6),(2,6),(3,4),(3,6),(4,5),(6,5)],7)=>6
([(0,6),(1,6),(2,6),(3,4),(3,5)],7)=>7
([(0,6),(1,6),(2,6),(3,4),(3,5),(6,3)],7)=>3
([(0,6),(1,6),(2,6),(3,4),(3,5),(6,5)],7)=>7
([(0,6),(1,6),(2,6),(3,4),(3,5),(6,4),(6,5)],7)=>5
([(0,6),(1,6),(2,6),(3,4),(3,5),(3,6)],7)=>7
([(0,6),(1,6),(2,6),(3,4),(3,5),(5,6)],7)=>7
([(0,6),(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7)=>6
([(1,6),(2,6),(3,6),(4,5),(5,6)],7)=>7
([(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)=>7
([(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)=>5
([(0,6),(1,6),(2,6),(3,4),(4,5),(6,5)],7)=>6
([(0,6),(1,6),(2,6),(3,4),(4,5),(4,6)],7)=>7
([(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)=>6
([(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)=>7
([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)=>7
([(0,6),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)=>7
([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>7
([(0,6),(1,5),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>7
([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>7
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>5
([(0,6),(1,6),(2,6),(3,5),(4,5),(6,4)],7)=>6
([(0,6),(1,6),(2,6),(3,5),(4,5),(6,3),(6,4)],7)=>3
([(0,6),(1,6),(2,5),(3,5),(4,5),(5,6)],7)=>6
([(0,6),(1,6),(2,6),(3,5),(4,5),(4,6)],7)=>7
([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>7
([(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)=>6
([(0,5),(1,5),(2,6),(3,6),(4,6),(5,2),(5,3),(5,4)],7)=>3
([(0,6),(1,6),(2,6),(3,5),(4,5),(5,6)],7)=>6
([(2,6),(3,6),(4,5)],7)=>7
([(2,6),(3,5),(4,5),(4,6)],7)=>7
([(1,6),(2,5),(3,5),(3,6),(6,4)],7)=>7
([(0,6),(1,5),(2,5),(2,6),(6,3),(6,4)],7)=>7
([(1,5),(2,4),(3,4),(3,5),(4,6),(5,6)],7)=>7
([(0,5),(1,4),(2,4),(2,5),(4,6),(5,6),(6,3)],7)=>5
([(0,6),(1,5),(2,5),(2,6),(5,3),(6,4)],7)=>7
([(0,6),(1,4),(2,4),(2,6),(4,5),(6,3),(6,5)],7)=>7
([(0,6),(1,5),(2,5),(2,6),(5,3),(5,4),(6,3),(6,4)],7)=>5
([(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>7
([(1,6),(2,5),(2,6),(3,5),(3,6),(5,4)],7)=>7
([(0,6),(1,5),(1,6),(2,5),(2,6),(5,3),(5,4)],7)=>7
([(0,6),(1,5),(1,6),(2,5),(2,6),(5,3),(5,4),(6,4)],7)=>7
([(0,6),(1,3),(1,6),(2,3),(2,6),(3,4),(3,5),(6,4),(6,5)],7)=>5
([(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(6,5)],7)=>7
([(0,6),(1,5),(1,6),(2,5),(2,6),(5,4),(6,3)],7)=>7
([(0,6),(1,4),(1,6),(2,4),(2,6),(4,5),(6,3),(6,5)],7)=>7
([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>7
([(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)=>4
([(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)=>4
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(5,4),(6,3),(6,4)],7)=>4
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(5,3),(5,4),(6,3),(6,4)],7)=>3
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4)],7)=>7
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(6,3)],7)=>4
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(4,3),(5,4),(6,4)],7)=>3
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(6,4)],7)=>7
([(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)=>6
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6)],7)=>7
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(5,4)],7)=>7
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>7
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(4,6)],7)=>7
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(4,6)],7)=>7
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(4,5),(4,6)],7)=>5
([(1,6),(2,5),(2,6),(3,5),(3,6),(6,4)],7)=>7
([(0,6),(1,5),(1,6),(2,5),(2,6),(6,3),(6,4)],7)=>7
([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4)],7)=>7
([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(5,3)],7)=>7
([(0,6),(1,4),(1,6),(2,4),(2,6),(4,5),(5,3),(6,5)],7)=>5
([(0,6),(1,4),(1,6),(2,4),(2,6),(3,5),(4,3),(6,5)],7)=>6
([(0,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5)],7)=>7
([(0,6),(1,4),(1,6),(2,4),(2,6),(3,5),(4,5),(6,3)],7)=>6
([(0,6),(1,5),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)=>6
([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(6,3)],7)=>7
([(0,6),(1,5),(2,4),(2,6),(3,4),(3,6),(6,5)],7)=>7
([(0,5),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6)],7)=>7
([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(6,4)],7)=>7
([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>7
([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(4,6)],7)=>7
([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6)],7)=>7
([(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5)],7)=>7
([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5)],7)=>7
([(0,5),(1,5),(1,6),(2,5),(2,6),(3,4),(4,6)],7)=>7
([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(4,5),(4,6)],7)=>7
([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(4,6)],7)=>7
([(0,6),(1,5),(2,5),(2,6),(3,4)],7)=>7
([(0,6),(1,5),(2,4),(3,4),(3,5),(3,6)],7)=>7
([(0,6),(1,5),(2,5),(2,6),(3,4),(6,3)],7)=>7
([(0,6),(1,4),(2,5),(3,4),(3,5),(5,6)],7)=>7
([(0,5),(1,4),(2,4),(2,5),(3,6),(4,6),(5,3)],7)=>6
([(0,6),(1,5),(2,4),(3,4),(3,5),(4,6),(5,6)],7)=>6
([(0,6),(1,5),(2,5),(2,6),(3,4),(3,6)],7)=>7
([(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5)],7)=>7
([(0,5),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6)],7)=>7
([(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>7
([(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6)],7)=>7
([(0,6),(1,5),(1,6),(2,4),(3,4),(3,6),(4,5)],7)=>7
([(0,6),(1,5),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>7
([(0,6),(1,5),(2,5),(2,6),(3,4),(3,5),(4,6)],7)=>7
([(0,6),(1,5),(2,5),(2,6),(3,4),(4,6)],7)=>7
([(0,6),(1,5),(2,5),(2,6),(3,4),(4,5),(4,6)],7)=>7
([(2,6),(3,6),(4,5),(6,4)],7)=>7
([(2,6),(3,5),(4,5),(5,6)],7)=>7
([(1,6),(2,5),(3,5),(5,6),(6,4)],7)=>7
([(0,6),(1,5),(2,5),(5,6),(6,3),(6,4)],7)=>4
([(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)=>7
([(0,6),(1,5),(2,5),(5,3),(5,6),(6,4)],7)=>7
([(0,6),(1,6),(2,3),(6,4),(6,5)],7)=>7
([(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)=>7
([(2,6),(3,6),(4,5),(4,6)],7)=>7
([(1,6),(2,6),(3,4),(3,6),(6,5)],7)=>7
([(0,6),(1,6),(2,3),(2,6),(6,4),(6,5)],7)=>7
([(1,6),(2,6),(3,4),(3,6),(4,5)],7)=>7
([(1,6),(2,6),(3,4),(3,6),(4,5),(6,5)],7)=>7
([(0,6),(1,6),(2,3),(2,6),(3,5),(6,4)],7)=>7
([(0,6),(1,6),(2,4),(2,6),(4,5),(6,3),(6,5)],7)=>7
([(0,6),(1,6),(2,3),(2,6),(3,4),(3,5)],7)=>7
([(0,6),(1,6),(2,3),(2,6),(3,4),(3,5),(6,5)],7)=>7
([(0,6),(1,6),(2,3),(2,6),(3,4),(3,5),(6,4),(6,5)],7)=>5
([(0,6),(1,6),(2,3),(2,6),(3,5),(5,4)],7)=>7
([(0,6),(1,6),(2,3),(2,6),(3,5),(5,4),(6,5)],7)=>5
([(0,6),(1,6),(2,3),(2,6),(3,4),(4,5),(6,5)],7)=>6
([(1,6),(2,6),(3,4),(3,5)],7)=>7
([(1,6),(2,6),(3,4),(3,5),(6,3)],7)=>7
([(1,5),(2,5),(3,4),(3,6),(5,6)],7)=>7
([(1,4),(2,4),(3,5),(3,6),(4,5),(4,6)],7)=>7
([(0,5),(0,6),(1,4),(2,4),(4,5),(4,6),(6,3)],7)=>4
([(0,5),(1,5),(2,4),(2,6),(5,6),(6,3)],7)=>7
([(0,6),(1,6),(2,3),(2,4),(6,5)],7)=>7
([(0,6),(1,6),(5,2),(5,3),(6,4),(6,5)],7)=>4
([(0,6),(1,6),(2,4),(2,5),(6,3),(6,5)],7)=>7
([(0,6),(1,6),(2,4),(2,5),(6,3),(6,4),(6,5)],7)=>7
([(1,6),(2,6),(3,4),(3,5),(3,6)],7)=>7
([(0,6),(1,6),(2,3),(2,4),(2,6),(6,5)],7)=>7
([(0,6),(1,6),(2,3),(2,4),(2,6),(4,5)],7)=>7
([(0,6),(1,6),(2,3),(2,4),(2,6),(4,5),(6,5)],7)=>7
([(0,6),(1,6),(2,3),(2,4),(2,6),(3,5),(4,5)],7)=>7
([(0,5),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)=>6
([(0,6),(1,6),(2,3),(2,4),(2,5)],7)=>7
([(0,6),(1,6),(5,2),(5,3),(5,4),(6,5)],7)=>3
([(0,5),(1,5),(2,3),(2,4),(2,6),(5,6)],7)=>7
([(0,4),(1,4),(2,3),(2,5),(2,6),(4,5),(4,6)],7)=>7
([(0,6),(1,6),(2,3),(2,4),(2,5),(6,3),(6,4),(6,5)],7)=>4
([(0,6),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>7
([(0,6),(1,2),(1,3),(1,5),(4,6),(5,4)],7)=>7
([(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)=>6
([(0,6),(1,6),(2,3),(2,4),(2,5),(5,6)],7)=>7
([(0,6),(1,2),(1,4),(1,5),(3,6),(4,6),(5,3)],7)=>7
([(0,3),(0,4),(0,5),(1,6),(2,6),(4,6),(5,1),(5,2)],7)=>6
([(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)=>7
([(0,6),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,2)],7)=>6
([(0,3),(0,4),(0,5),(1,6),(2,6),(3,6),(4,6),(5,1),(5,2)],7)=>5
([(0,6),(1,6),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)=>6
([(1,6),(2,6),(3,4),(3,5),(5,6)],7)=>7
([(0,6),(1,6),(2,3),(2,4),(4,6),(6,5)],7)=>7
([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7)=>7
([(0,6),(1,6),(2,3),(2,4),(3,6),(4,6),(6,5)],7)=>5
([(0,6),(1,6),(2,3),(2,4),(4,5)],7)=>7
([(0,6),(1,6),(4,3),(5,2),(5,4),(6,5)],7)=>3
([(0,5),(1,5),(2,3),(2,6),(3,4),(5,6)],7)=>7
([(0,4),(1,4),(2,3),(2,5),(3,6),(4,5),(4,6)],7)=>7
([(0,4),(1,4),(2,3),(2,5),(3,6),(4,5),(5,6)],7)=>6
([(0,6),(1,6),(2,4),(2,5),(4,3),(5,3),(6,4),(6,5)],7)=>4
([(0,5),(1,5),(2,3),(2,4),(4,6),(5,6)],7)=>7
([(0,6),(1,3),(1,5),(4,6),(5,2),(5,4)],7)=>7
([(0,4),(0,5),(2,6),(3,6),(5,1),(5,2),(5,3)],7)=>6
([(0,6),(1,6),(2,3),(2,4),(4,5),(4,6)],7)=>7
([(0,6),(1,4),(1,5),(3,6),(4,2),(5,3)],7)=>7
([(0,6),(1,3),(1,4),(2,6),(3,5),(4,2),(6,5)],7)=>6
([(0,6),(1,4),(1,5),(3,6),(4,3),(5,2),(5,6)],7)=>7
([(0,4),(0,5),(2,6),(3,6),(4,1),(4,6),(5,2),(5,3)],7)=>6
([(0,3),(0,4),(1,6),(2,6),(3,5),(3,6),(4,1),(4,2),(4,5)],7)=>6
([(0,6),(1,3),(1,4),(2,6),(3,5),(3,6),(4,2),(4,5)],7)=>7
([(0,4),(0,5),(2,6),(3,6),(4,3),(5,1),(5,2)],7)=>6
([(0,3),(0,4),(1,5),(2,5),(3,2),(3,6),(4,1),(4,6)],7)=>6
([(0,3),(0,4),(1,6),(2,6),(3,2),(3,5),(4,1),(4,5),(5,6)],7)=>5
([(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)=>6
([(0,3),(0,4),(1,6),(2,6),(3,5),(4,1),(4,2),(4,5),(5,6)],7)=>5
([(0,6),(1,3),(1,4),(2,6),(3,5),(4,2),(4,5)],7)=>7
([(0,6),(1,3),(1,4),(2,6),(3,5),(4,2),(4,5),(5,6)],7)=>6
([(0,3),(0,4),(1,5),(2,5),(3,6),(4,2),(4,6),(6,1)],7)=>5
([(0,6),(1,6),(2,3),(2,4),(3,5),(4,6)],7)=>7
([(0,6),(1,6),(2,3),(2,4),(3,6),(4,5),(6,5)],7)=>6
([(0,6),(1,4),(1,5),(3,6),(4,6),(5,2),(5,3)],7)=>7
([(0,4),(0,5),(2,6),(3,6),(4,6),(5,1),(5,2),(5,3)],7)=>6
([(0,6),(1,6),(2,3),(2,4),(3,6),(4,5),(4,6)],7)=>7
([(0,6),(1,6),(2,3),(2,4),(3,5),(4,6),(5,6)],7)=>6
([(0,6),(1,4),(1,5),(2,6),(3,6),(4,6),(5,2),(5,3)],7)=>6
([(0,4),(0,5),(1,6),(2,6),(3,6),(4,6),(5,1),(5,2),(5,3)],7)=>5
([(0,5),(1,5),(2,3),(2,4),(3,6),(4,6)],7)=>7
([(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)=>6
([(0,6),(1,6),(2,3),(2,4),(3,5),(4,5),(4,6)],7)=>7
([(0,6),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7)=>7
([(0,5),(1,2),(1,3),(2,6),(3,6),(4,5),(6,4)],7)=>6
([(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)=>7
([(0,6),(1,2),(1,5),(3,6),(4,6),(5,3),(5,4)],7)=>7
([(0,4),(0,5),(1,6),(2,6),(3,6),(5,1),(5,2),(5,3)],7)=>6
([(0,6),(1,4),(1,5),(2,6),(3,6),(4,3),(5,2)],7)=>6
([(0,4),(0,5),(1,6),(2,6),(3,6),(4,3),(5,1),(5,2)],7)=>5
([(2,6),(3,6),(4,5),(5,6)],7)=>7
([(1,6),(2,6),(3,4),(4,6),(6,5)],7)=>7
([(0,6),(1,6),(2,3),(3,6),(6,4),(6,5)],7)=>4
([(1,6),(2,6),(3,4),(4,5)],7)=>7
([(1,6),(2,6),(3,5),(5,4),(6,3)],7)=>7
([(1,5),(2,5),(3,4),(4,6),(5,6)],7)=>7
([(0,5),(1,5),(2,3),(3,6),(5,6),(6,4)],7)=>5
([(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)=>7
([(1,6),(2,6),(3,4),(4,5),(4,6)],7)=>7
([(0,6),(1,6),(2,3),(3,5),(3,6),(6,4)],7)=>7
([(0,3),(1,6),(2,6),(3,5),(3,6),(5,4)],7)=>7
([(0,6),(1,6),(2,3),(3,4),(3,6),(4,5),(6,5)],7)=>6
([(0,3),(1,6),(2,6),(3,4),(3,5)],7)=>7
([(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)=>7
([(0,4),(1,4),(2,3),(3,5),(3,6),(4,5),(4,6)],7)=>5
([(0,6),(1,5),(4,6),(5,2),(5,3),(5,4)],7)=>7
([(0,5),(3,6),(4,6),(5,1),(5,2),(5,3),(5,4)],7)=>5
([(0,3),(1,6),(2,6),(3,4),(3,5),(3,6)],7)=>7
([(0,3),(1,6),(2,6),(3,4),(3,5),(5,6)],7)=>7
([(0,6),(1,5),(3,6),(4,6),(5,2),(5,3),(5,4)],7)=>7
([(0,5),(2,6),(3,6),(4,6),(5,1),(5,2),(5,3),(5,4)],7)=>5
([(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)=>6
([(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)=>7
([(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)=>7
([(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)=>7
([(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)=>6
([(0,6),(1,4),(3,6),(4,5),(5,2),(5,3)],7)=>7
([(0,4),(2,6),(3,6),(4,5),(5,1),(5,2),(5,3)],7)=>4
([(0,3),(1,6),(2,6),(3,5),(5,4),(5,6)],7)=>7
([(1,6),(2,6),(3,5),(4,5)],7)=>7
([(1,6),(2,6),(3,5),(4,5),(4,6)],7)=>7
([(0,6),(1,6),(2,5),(3,5),(3,6),(5,4)],7)=>7
([(0,6),(1,6),(2,4),(3,4),(3,6),(4,5),(6,5)],7)=>6
([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>7
([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(5,4)],7)=>7
([(0,6),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(6,5)],7)=>6
([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(6,4)],7)=>7
([(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)=>7
([(0,6),(1,5),(2,5),(2,6),(3,5),(3,6),(6,4)],7)=>7
([(0,6),(1,5),(2,5),(2,6),(3,5),(3,6),(5,4),(6,4)],7)=>6
([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>7
([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(5,4)],7)=>7
([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(5,4),(6,4)],7)=>6
([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(6,4)],7)=>7
([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>7
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(6,4)],7)=>4
([(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)=>7
([(1,6),(2,5),(3,5),(4,6),(5,4)],7)=>7
([(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)=>7
([(0,6),(1,6),(2,5),(3,5),(5,6),(6,4)],7)=>5
([(0,6),(1,6),(2,5),(3,5),(6,4)],7)=>7
([(0,6),(1,5),(2,5),(4,6),(5,3),(5,4)],7)=>7
([(0,6),(1,6),(3,5),(4,5),(6,2),(6,3),(6,4)],7)=>4
([(0,6),(1,6),(2,5),(3,5),(5,4),(5,6)],7)=>7
([(0,5),(1,5),(2,4),(3,4),(4,6),(5,6)],7)=>6
([(0,6),(1,6),(2,5),(3,4)],7)=>7
([(0,6),(1,6),(2,3),(4,5),(6,4)],7)=>7
([(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)=>7
([(0,6),(1,5),(2,5),(3,4),(5,6)],7)=>7
([(0,4),(1,4),(2,6),(3,5),(4,5),(4,6)],7)=>7
([(0,6),(1,5),(2,5),(3,4),(5,6),(6,3)],7)=>4
([(0,4),(1,4),(2,5),(3,6),(4,6),(6,5)],7)=>6
([(0,6),(1,6),(2,5),(3,4),(3,6)],7)=>7
([(0,6),(1,6),(2,3),(2,6),(4,5),(6,4)],7)=>7
([(0,6),(1,6),(2,5),(3,4),(3,6),(6,5)],7)=>7
([(0,6),(1,6),(2,5),(3,4),(3,6),(4,5)],7)=>7
([(0,6),(1,6),(2,3),(2,6),(3,5),(4,5),(6,4)],7)=>6
([(0,6),(1,5),(2,5),(3,4),(3,5),(4,6),(5,6)],7)=>6
([(0,6),(1,6),(2,5),(2,6),(3,4),(3,6)],7)=>7
([(0,6),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5)],7)=>7
([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5)],7)=>7
([(0,6),(1,6),(2,4),(2,6),(3,4),(3,5),(6,5)],7)=>7
([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>7
([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(4,6)],7)=>7
([(0,6),(1,6),(2,5),(3,4),(3,6),(5,6)],7)=>7
([(0,6),(1,6),(2,5),(2,6),(3,4),(4,5)],7)=>7
([(0,6),(1,6),(2,5),(2,6),(3,4),(4,5),(4,6)],7)=>7
([(0,5),(1,5),(2,6),(3,4),(3,6)],7)=>7
([(0,5),(1,4),(2,4),(2,6),(3,5),(3,6)],7)=>7
([(0,6),(1,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>7
([(0,6),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>7
([(0,5),(1,4),(1,5),(2,4),(2,6),(3,6),(5,3)],7)=>7
([(0,6),(1,5),(2,4),(2,6),(3,4),(3,5),(5,6)],7)=>7
([(0,6),(1,5),(2,5),(3,4),(3,6),(5,3)],7)=>7
([(0,4),(1,5),(2,5),(3,4),(3,6),(5,6)],7)=>7
([(0,6),(1,5),(1,6),(2,4),(3,4),(4,5),(4,6)],7)=>7
([(0,5),(1,5),(2,3),(2,6),(4,6),(5,4)],7)=>7
([(0,6),(1,6),(3,5),(4,2),(4,5),(6,3),(6,4)],7)=>4
([(0,5),(1,5),(2,4),(2,6),(3,6),(5,3),(5,4)],7)=>7
([(0,6),(1,5),(2,5),(3,4),(3,6),(5,6)],7)=>7
([(0,6),(1,6),(2,5),(3,4),(3,5),(3,6)],7)=>7
([(0,6),(1,6),(2,5),(3,4),(3,5),(4,6)],7)=>7
([(0,6),(1,5),(2,3),(2,5),(3,6),(4,6),(5,4)],7)=>6
([(0,5),(1,2),(1,5),(2,6),(3,6),(4,6),(5,3),(5,4)],7)=>6
([(0,6),(1,6),(2,5),(3,4),(3,5),(4,6),(5,6)],7)=>6
([(0,4),(1,4),(2,5),(2,6),(3,5),(3,6)],7)=>7
([(0,5),(1,4),(1,6),(2,4),(2,6),(3,5),(3,6)],7)=>7
([(0,5),(0,6),(1,5),(1,6),(2,4),(3,4),(3,5),(3,6)],7)=>7
([(0,6),(1,4),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>7
([(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>7
([(0,5),(0,6),(1,5),(1,6),(2,4),(3,4),(3,5),(4,6)],7)=>7
([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6)],7)=>7
([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5)],7)=>7
([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5)],7)=>7
([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6)],7)=>7
([(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>7
([(0,5),(0,6),(1,4),(1,6),(2,4),(2,5),(3,4),(3,5),(3,6)],7)=>7
([(0,5),(0,6),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>7
([(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>7
([(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)=>4
([(0,6),(1,5),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6)],7)=>7
([(0,5),(0,6),(1,4),(1,6),(2,4),(2,6),(3,5),(4,3)],7)=>7
([(0,4),(1,4),(2,5),(2,6),(3,5),(3,6),(4,3)],7)=>5
([(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)=>7
([(0,5),(0,6),(1,5),(1,6),(2,4),(3,4),(4,5),(4,6)],7)=>5
([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(3,6)],7)=>7
([(0,6),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>7
([(0,6),(1,4),(1,5),(2,4),(2,5),(3,6),(5,3)],7)=>7
([(0,5),(0,6),(1,5),(1,6),(2,4),(3,4),(6,2),(6,3)],7)=>5
([(0,3),(1,5),(1,6),(2,5),(2,6),(4,3),(5,4),(6,4)],7)=>6
([(0,5),(0,6),(1,5),(1,6),(2,4),(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)=>4
([(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)=>7
([(0,6),(1,4),(1,5),(2,4),(2,5),(3,6),(4,6),(5,3)],7)=>6
([(0,4),(0,5),(1,4),(1,5),(2,6),(3,6),(4,6),(5,2),(5,3)],7)=>4
([(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)=>7
([(0,6),(1,2),(1,6),(3,5),(4,5),(6,3),(6,4)],7)=>7
([(0,6),(1,6),(2,5),(3,4),(3,5),(5,6)],7)=>7
([(0,6),(1,6),(2,4),(3,5),(5,6)],7)=>7
([(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)=>6
([(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)=>7
([(0,6),(1,6),(2,5),(3,4),(4,5),(6,3)],7)=>6
([(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)=>3
([(0,5),(1,5),(2,4),(3,6),(4,6),(5,3),(5,4)],7)=>6
([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)=>6
([(0,6),(1,6),(2,5),(3,4),(4,5),(4,6)],7)=>7
([(0,6),(1,5),(2,3),(3,6),(4,5),(6,4)],7)=>6
([(0,6),(1,2),(2,6),(3,5),(4,5),(6,3),(6,4)],7)=>3
([(0,6),(1,6),(2,5),(3,4),(4,5),(5,6)],7)=>6
([(3,6),(4,5)],7)=>7
([(3,6),(4,5),(4,6)],7)=>7
([(2,6),(3,4),(3,6),(4,5)],7)=>7
([(1,6),(2,3),(2,6),(3,4),(3,5)],7)=>7
([(0,6),(1,5),(1,6),(5,2),(5,3),(5,4)],7)=>7
([(0,6),(1,4),(1,6),(4,2),(4,3),(4,5),(6,5)],7)=>7
([(0,6),(1,3),(1,6),(3,2),(3,4),(3,5),(6,4),(6,5)],7)=>7
([(0,6),(1,2),(1,6),(2,3),(2,4),(2,5),(6,3),(6,4),(6,5)],7)=>4
([(1,5),(2,3),(2,5),(3,4),(3,6),(5,6)],7)=>7
([(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)=>7
([(0,6),(1,5),(1,6),(5,2),(5,3),(6,4)],7)=>7
([(0,6),(1,4),(1,6),(4,3),(4,5),(6,2),(6,5)],7)=>7
([(0,6),(1,3),(1,6),(3,4),(3,5),(6,2),(6,4),(6,5)],7)=>7
([(2,5),(3,4),(3,5),(4,6),(5,6)],7)=>7
([(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)=>4
([(1,6),(2,3),(2,6),(3,5),(6,4)],7)=>7
([(1,5),(2,3),(2,5),(3,6),(5,4),(5,6)],7)=>7
([(0,6),(1,5),(1,6),(5,2),(6,3),(6,4)],7)=>7
([(0,6),(1,4),(1,6),(4,5),(6,2),(6,3),(6,5)],7)=>7
([(1,6),(2,3),(2,6),(3,5),(5,4)],7)=>7
([(1,5),(2,3),(2,5),(3,4),(4,6),(5,6)],7)=>7
([(0,5),(1,4),(1,5),(3,6),(4,3),(5,6),(6,2)],7)=>5
([(0,6),(1,5),(1,6),(4,2),(5,4),(6,3)],7)=>7
([(0,6),(1,3),(1,6),(3,5),(5,4),(6,2),(6,5)],7)=>7
([(0,6),(1,4),(1,6),(3,5),(4,3),(6,2),(6,5)],7)=>7
([(0,6),(1,4),(1,6),(4,5),(5,2),(5,3)],7)=>7
([(0,6),(1,3),(1,6),(3,4),(4,2),(4,5),(6,5)],7)=>7
([(0,6),(1,2),(1,6),(2,3),(3,4),(3,5),(6,4),(6,5)],7)=>5
([(3,5),(3,6),(4,5),(4,6)],7)=>7
([(2,5),(2,6),(3,5),(3,6),(6,4)],7)=>7
([(1,5),(1,6),(2,5),(2,6),(6,3),(6,4)],7)=>7
([(0,5),(0,6),(1,5),(1,6),(6,2),(6,3),(6,4)],7)=>5
([(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)=>7
([(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)=>7
([(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)=>5
([(0,5),(0,6),(1,5),(1,6),(5,4),(6,2),(6,3),(6,4)],7)=>5
([(0,5),(0,6),(1,5),(1,6),(5,3),(5,4),(6,2),(6,4)],7)=>5
([(0,5),(0,6),(1,5),(1,6),(5,3),(5,4),(6,2),(6,3),(6,4)],7)=>5
([(0,5),(0,6),(1,5),(1,6),(5,2),(5,3),(5,4),(6,2),(6,3),(6,4)],7)=>3
([(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)=>7
([(0,4),(1,5),(1,6),(2,4),(2,5),(2,6),(6,3)],7)=>7
([(0,4),(1,5),(1,6),(2,4),(2,5),(2,6),(5,3),(6,3)],7)=>7
([(0,6),(1,4),(1,5),(2,4),(2,5),(2,6),(5,3),(6,3)],7)=>7
([(0,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)=>6
([(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>7
([(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(5,3)],7)=>7
([(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,6),(3,5),(4,5)],7)=>7
([(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)=>6
([(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,6),(4,5),(6,5)],7)=>7
([(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(6,3)],7)=>7
([(0,6),(1,4),(1,5),(2,4),(2,5),(2,6),(6,3)],7)=>7
([(1,5),(1,6),(2,5),(2,6),(3,4),(6,3)],7)=>7
([(0,5),(0,6),(1,5),(1,6),(4,3),(5,4),(6,2)],7)=>5
([(0,5),(0,6),(1,5),(1,6),(2,3),(5,4),(6,2),(6,4)],7)=>5
([(0,5),(0,6),(1,5),(1,6),(4,2),(5,3),(5,4),(6,3),(6,4)],7)=>3
([(0,5),(0,6),(1,5),(1,6),(2,4),(5,2),(5,3),(6,3),(6,4)],7)=>5
([(0,5),(0,6),(1,5),(1,6),(4,3),(5,4),(6,2),(6,4)],7)=>5
([(0,5),(0,6),(1,5),(1,6),(3,4),(5,3),(6,2),(6,4)],7)=>5
([(1,6),(2,4),(2,5),(3,4),(3,5),(5,6)],7)=>7
([(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)=>7
([(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)=>7
([(0,6),(1,4),(1,5),(2,4),(2,5),(4,6),(5,3),(5,6)],7)=>7
([(0,6),(1,4),(1,5),(2,4),(2,5),(5,6),(6,3)],7)=>7
([(0,4),(1,5),(1,6),(2,5),(2,6),(4,3),(5,4),(6,3)],7)=>6
([(0,5),(0,6),(1,5),(1,6),(2,4),(6,3)],7)=>7
([(0,5),(0,6),(1,5),(1,6),(4,3),(6,2),(6,4)],7)=>5
([(0,5),(0,6),(1,5),(1,6),(3,4),(5,2),(5,3),(6,4)],7)=>5
([(0,5),(1,4),(1,6),(2,4),(2,6),(6,3),(6,5)],7)=>7
([(0,4),(0,5),(1,4),(1,5),(2,3),(4,6),(5,6)],7)=>7
([(0,4),(1,5),(1,6),(2,5),(2,6),(5,3),(6,3),(6,4)],7)=>7
([(0,6),(1,3),(1,4),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7)=>7
([(1,5),(1,6),(2,5),(2,6),(3,4),(3,6)],7)=>7
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,6),(6,4)],7)=>7
([(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5)],7)=>7
([(0,5),(0,6),(1,4),(1,6),(2,4),(2,6),(4,5),(6,3)],7)=>7
([(0,5),(0,6),(1,4),(1,6),(2,4),(2,6),(4,5),(5,3)],7)=>7
([(0,3),(0,6),(1,3),(1,6),(2,5),(2,6),(3,5),(5,4),(6,4)],7)=>6
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,6),(5,4)],7)=>7
([(0,4),(0,6),(1,4),(1,6),(2,3),(2,6),(4,5),(6,5)],7)=>7
([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(5,3),(5,4)],7)=>7
([(0,3),(0,6),(1,3),(1,6),(2,4),(2,6),(3,4),(3,5),(6,5)],7)=>7
([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>7
([(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(6,3)],7)=>7
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(2,6),(5,4),(6,4)],7)=>7
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4)],7)=>7
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(6,4)],7)=>7
([(0,4),(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)=>6
([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(4,6)],7)=>7
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(3,6),(5,4)],7)=>7
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(3,6),(5,4),(6,4)],7)=>6
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(3,6),(6,4)],7)=>7
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,6),(3,4)],7)=>7
([(0,4),(0,6),(1,4),(1,6),(2,3),(2,6),(3,5),(6,5)],7)=>7
([(0,4),(0,6),(1,4),(1,6),(2,3),(2,6),(3,5),(4,5)],7)=>7
([(0,4),(0,5),(1,4),(1,5),(2,3),(2,5),(3,6),(4,6),(5,6)],7)=>6
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(3,4),(3,6)],7)=>7
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(3,4),(3,6),(5,4)],7)=>7
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(3,4),(4,6)],7)=>7
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4)],7)=>7
([(0,5),(0,6),(1,5),(1,6),(4,2),(4,3),(6,4)],7)=>5
([(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)=>5
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(5,2),(6,3),(6,4)],7)=>3
([(0,4),(0,5),(1,4),(1,5),(2,3),(2,6),(5,6)],7)=>7
([(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(6,3),(6,4)],7)=>7
([(0,4),(0,5),(1,4),(1,5),(2,3),(2,6),(4,6),(5,6)],7)=>7
([(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(5,4),(6,3)],7)=>7
([(0,5),(0,6),(1,3),(1,4),(2,3),(2,4),(3,6),(4,5),(4,6)],7)=>7
([(0,5),(0,6),(1,3),(1,4),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7)=>5
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6)],7)=>7
([(0,4),(0,6),(1,4),(1,6),(2,3),(2,5),(2,6),(4,5)],7)=>7
([(0,3),(0,6),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5)],7)=>7
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>7
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(4,6)],7)=>7
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(3,6),(4,6)],7)=>7
([(0,5),(0,6),(1,2),(1,4),(3,5),(3,6),(4,3)],7)=>7
([(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(4,1),(4,2)],7)=>6
([(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)=>7
([(0,4),(0,6),(1,4),(1,6),(2,3),(2,5),(3,6),(4,5)],7)=>7
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(4,5),(4,6)],7)=>7
([(0,5),(0,6),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,2)],7)=>5
([(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,1),(4,2)],7)=>4
([(0,5),(0,6),(1,2),(1,4),(2,6),(3,5),(3,6),(4,3)],7)=>7
([(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(3,6),(4,1),(4,2)],7)=>6
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(3,6),(4,6)],7)=>7
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(3,6),(4,5)],7)=>7
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(3,6),(4,5),(4,6)],7)=>7
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7)=>5
([(1,5),(1,6),(2,5),(2,6),(3,4),(4,6)],7)=>7
([(0,5),(0,6),(1,5),(1,6),(2,3),(3,6),(6,4)],7)=>7
([(0,5),(0,6),(1,5),(1,6),(2,3),(3,6),(5,4)],7)=>7
([(0,4),(0,6),(1,4),(1,6),(2,3),(3,6),(4,5),(6,5)],7)=>6
([(1,5),(1,6),(2,5),(2,6),(3,4),(4,5),(4,6)],7)=>7
([(0,5),(0,6),(1,5),(1,6),(2,4),(4,5),(4,6),(6,3)],7)=>4
([(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)=>5
([(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)=>3
([(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)=>7
([(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)=>7
([(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)=>7
([(0,4),(0,6),(1,4),(1,6),(2,3),(3,5),(3,6),(4,5)],7)=>7
([(0,5),(0,6),(1,5),(1,6),(2,3),(3,4),(3,5),(3,6)],7)=>7
([(0,5),(0,6),(1,5),(1,6),(2,3),(3,4),(3,6),(4,5)],7)=>7
([(0,5),(0,6),(1,5),(1,6),(2,3),(3,4),(4,6)],7)=>7
([(0,5),(0,6),(1,4),(2,6),(3,5),(3,6),(4,2),(4,3)],7)=>7
([(0,4),(1,6),(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),(4,5),(4,6)],7)=>5
([(0,5),(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,2),(4,3)],7)=>5
([(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,1),(4,2),(4,3)],7)=>3
([(2,6),(3,4),(3,6),(6,5)],7)=>7
([(1,6),(2,3),(2,6),(6,4),(6,5)],7)=>7
([(0,6),(1,2),(1,6),(6,3),(6,4),(6,5)],7)=>7
([(2,6),(3,4),(3,5)],7)=>7
([(2,6),(3,4),(3,5),(3,6)],7)=>7
([(1,6),(2,3),(2,4),(2,6),(4,5)],7)=>7
([(0,6),(1,4),(1,5),(1,6),(5,2),(5,3)],7)=>7
([(0,6),(1,3),(1,4),(1,6),(4,2),(4,5),(6,5)],7)=>7
([(0,6),(1,2),(1,3),(1,6),(3,4),(3,5),(6,4),(6,5)],7)=>7
([(1,5),(2,3),(2,4),(2,5),(4,6),(5,6)],7)=>7
([(0,5),(1,3),(1,4),(1,5),(4,6),(5,6),(6,2)],7)=>7
([(0,6),(1,3),(1,5),(1,6),(5,2),(6,4)],7)=>7
([(0,6),(1,3),(1,4),(1,6),(4,5),(6,2),(6,5)],7)=>7
([(1,5),(2,3),(2,4),(2,5),(3,6),(4,6)],7)=>7
([(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)=>7
([(0,5),(1,2),(1,3),(1,5),(2,6),(3,6),(5,6),(6,4)],7)=>5
([(0,6),(1,3),(1,4),(1,6),(3,5),(4,5),(6,2)],7)=>7
([(0,5),(1,2),(1,3),(1,5),(2,6),(3,6),(5,4),(5,6)],7)=>7
([(0,5),(1,3),(1,4),(1,5),(3,6),(4,6),(6,2)],7)=>7
([(0,6),(1,2),(1,3),(1,6),(2,5),(3,5),(5,4),(6,4)],7)=>6
([(0,6),(1,4),(1,5),(1,6),(4,3),(5,2)],7)=>7
([(0,6),(1,3),(1,4),(1,6),(3,5),(4,2),(4,5)],7)=>7
([(0,6),(1,2),(1,3),(1,6),(2,5),(3,4),(3,5),(6,4)],7)=>7
([(0,4),(1,2),(1,3),(1,4),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>7
([(0,5),(1,3),(1,4),(1,5),(3,6),(4,2),(4,6),(5,6)],7)=>7
([(0,6),(1,2),(1,3),(1,6),(2,4),(2,5),(3,4),(3,5)],7)=>7
([(0,4),(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,6)],7)=>7
([(0,4),(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>5
([(0,6),(1,3),(1,4),(1,6),(3,5),(4,2),(6,5)],7)=>7
([(0,6),(1,2),(1,3),(1,6),(2,5),(3,4),(6,4),(6,5)],7)=>7
([(1,6),(2,3),(2,4),(2,6),(6,5)],7)=>7
([(0,6),(1,2),(1,3),(1,6),(6,4),(6,5)],7)=>7
([(1,6),(2,3),(2,4),(2,5)],7)=>7
([(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>7
([(0,6),(1,3),(1,4),(1,5),(1,6),(5,2)],7)=>7
([(0,6),(1,2),(1,3),(1,4),(1,6),(4,5),(6,5)],7)=>7
([(0,6),(1,2),(1,3),(1,4),(1,6),(3,5),(4,5)],7)=>7
([(0,5),(1,2),(1,3),(1,4),(1,5),(3,6),(4,6),(5,6)],7)=>7
([(0,5),(1,2),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6)],7)=>7
([(0,5),(1,2),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,6)],7)=>6
([(0,6),(1,2),(1,3),(1,4),(1,6),(6,5)],7)=>7
([(0,6),(1,2),(1,3),(1,4),(1,5)],7)=>7
([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>7
([(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)=>7
([(0,2),(0,3),(0,4),(0,5),(1,6),(4,6),(5,1)],7)=>6
([(0,6),(1,2),(1,3),(1,4),(1,5),(4,6),(5,6)],7)=>7
([(0,2),(0,3),(0,4),(0,5),(1,6),(3,6),(4,6),(5,1)],7)=>6
([(0,6),(1,2),(1,3),(1,4),(1,5),(3,6),(4,6),(5,6)],7)=>7
([(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)=>6
([(0,5),(1,2),(1,3),(1,4),(1,6),(5,6)],7)=>7
([(0,4),(1,2),(1,3),(1,5),(1,6),(4,5),(4,6)],7)=>7
([(0,3),(1,2),(1,4),(1,5),(1,6),(3,4),(3,5),(3,6)],7)=>7
([(0,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>4
([(1,3),(1,4),(1,6),(5,2),(6,5)],7)=>7
([(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)=>7
([(0,6),(1,2),(1,3),(1,4),(4,6),(6,5)],7)=>7
([(1,2),(1,4),(1,5),(3,6),(4,6),(5,3)],7)=>7
([(0,3),(0,4),(0,5),(1,6),(4,6),(5,1),(6,2)],7)=>6
([(1,6),(2,3),(2,4),(2,5),(4,6),(5,6)],7)=>7
([(0,6),(1,2),(1,3),(1,4),(3,6),(4,6),(6,5)],7)=>7
([(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,2)],7)=>7
([(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)=>7
([(0,6),(1,2),(1,3),(1,4),(2,6),(3,6),(4,6),(6,5)],7)=>5
([(0,6),(1,3),(1,4),(1,5),(3,6),(4,6),(5,2)],7)=>7
([(0,6),(1,2),(1,3),(1,4),(2,6),(3,6),(4,5),(6,5)],7)=>6
([(0,3),(0,4),(0,5),(2,6),(3,6),(4,6),(5,1),(5,2)],7)=>6
([(0,6),(1,3),(1,4),(1,5),(3,6),(4,6),(5,2),(5,6)],7)=>7
([(0,6),(1,3),(1,4),(1,5),(4,6),(5,2)],7)=>7
([(0,6),(1,2),(1,3),(1,4),(3,6),(4,5),(6,5)],7)=>7
([(0,3),(0,4),(0,5),(2,6),(4,6),(5,1),(5,2)],7)=>6
([(0,6),(1,3),(1,4),(1,5),(4,6),(5,2),(5,6)],7)=>7
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Description
The size of the largest ordinal summand in the poset.
The ordinal sum of two posets $P$ and $Q$ is the poset having elements $(p,0)$ and $(q,1)$ for $p\in P$ and $q\in Q$, and relations $(a,0) < (b,0)$ if $a < b$ in $P$, $(a,1) < (b,1)$ if $a < b$ in $Q$, and $(a,0) < (b,1)$.
This statistic is the maximal cardinality of a summand in the longest ordinal decomposition of a poset.
The ordinal sum of two posets $P$ and $Q$ is the poset having elements $(p,0)$ and $(q,1)$ for $p\in P$ and $q\in Q$, and relations $(a,0) < (b,0)$ if $a < b$ in $P$, $(a,1) < (b,1)$ if $a < b$ in $Q$, and $(a,0) < (b,1)$.
This statistic is the maximal cardinality of a summand in the longest ordinal decomposition of a poset.
Code
def statistic(P):
return max(Q.cardinality() for Q in P.ordinal_summands())
Created
Oct 07, 2018 at 19:58 by Martin Rubey
Updated
Oct 07, 2018 at 19:58 by Martin Rubey
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