- FindStat

Identifier

Mp00206: Posets —antichains of maximal size⟶ Lattices
Mp00263: Lattices —join irreducibles⟶ Posets
St000717: Posets ⟶ ℤ

Values

([(0,2),(2,1)],3) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(1,2),(2,3)],4) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(0,3),(1,2)],4) => ([(0,1),(0,2),(1,3),(2,3)],4) => ([],2) => 1

([(0,3),(1,2),(1,3)],4) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4) => ([(0,2),(2,1)],3) => 3

([(0,3),(0,4),(3,2),(4,1)],5) => ([(0,1),(0,2),(1,3),(2,3)],4) => ([],2) => 1

([(0,2),(0,3),(2,4),(3,1),(3,4)],5) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(2,3),(3,4)],5) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(1,4),(2,3)],5) => ([(0,1),(0,2),(1,3),(2,3)],4) => ([],2) => 1

([(1,4),(2,3),(2,4)],5) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(0,4),(1,2),(1,4),(2,3)],5) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => ([(0,1),(0,2)],3) => 2

([(0,3),(1,2),(1,3),(2,4),(3,4)],5) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(0,3),(0,4),(1,3),(1,4),(4,2)],5) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(0,4),(1,2),(1,4),(4,3)],5) => ([(0,3),(2,1),(3,2)],4) => ([(0,2),(2,1)],3) => 3

([(0,2),(0,4),(3,1),(4,3)],5) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(0,3),(0,4),(1,2),(1,3),(2,4)],5) => ([(0,3),(2,1),(3,2)],4) => ([(0,2),(2,1)],3) => 3

([(0,3),(1,2),(1,4),(3,4)],5) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => ([(0,2),(1,2)],3) => 2

([(0,3),(0,4),(1,2),(2,3),(2,4)],5) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(1,4),(3,2),(4,3)],5) => ([(0,3),(2,1),(3,2)],4) => ([(0,2),(2,1)],3) => 3

([(0,3),(1,4),(4,2)],5) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => ([(1,2)],3) => 1

([(0,4),(1,2),(2,3),(2,4)],5) => ([(0,3),(2,1),(3,2)],4) => ([(0,2),(2,1)],3) => 3

([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,3),(2,1),(3,2)],4) => 4

([(0,3),(1,2),(2,4),(3,4)],5) => ([(0,1),(0,2),(1,3),(2,3)],4) => ([],2) => 1

([(0,4),(1,2),(2,3),(3,4)],5) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(0,3),(0,4),(0,5),(4,2),(5,1)],6) => ([(0,1),(0,2),(1,3),(2,3)],4) => ([],2) => 1

([(0,2),(0,3),(0,4),(3,5),(4,1),(4,5)],6) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(1,4),(1,5),(4,3),(5,2)],6) => ([(0,1),(0,2),(1,3),(2,3)],4) => ([],2) => 1

([(1,3),(1,4),(3,5),(4,2),(4,5)],6) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(0,2),(0,3),(2,4),(2,5),(3,4),(3,5),(5,1)],6) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(0,3),(0,4),(3,5),(4,1),(4,5),(5,2)],6) => ([(0,3),(2,1),(3,2)],4) => ([(0,2),(2,1)],3) => 3

([(3,4),(4,5)],6) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(2,3),(3,5),(5,4)],6) => ([(0,3),(2,1),(3,2)],4) => ([(0,2),(2,1)],3) => 3

([(0,5),(1,5),(4,2),(5,3),(5,4)],6) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(0,5),(1,5),(2,3),(2,5),(3,4)],6) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(0,3),(0,4),(1,5),(2,5),(3,2),(4,1)],6) => ([(0,1),(0,2),(1,3),(2,3)],4) => ([],2) => 1

([(0,5),(1,5),(2,3),(3,4)],6) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(0,5),(1,5),(2,3),(3,4),(3,5)],6) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(0,5),(1,5),(2,3),(3,4),(4,5)],6) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(2,5),(3,4)],6) => ([(0,1),(0,2),(1,3),(2,3)],4) => ([],2) => 1

([(2,5),(3,4),(3,5)],6) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(1,5),(2,3),(2,5),(3,4)],6) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => ([(0,1),(0,2)],3) => 2

([(0,4),(1,2),(1,4),(2,3),(2,5),(4,5)],6) => ([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6) => ([(0,1),(0,2),(1,3),(2,3)],4) => 3

([(0,5),(1,2),(1,5),(2,3),(2,4),(5,3),(5,4)],6) => ([(0,3),(2,1),(3,2)],4) => ([(0,2),(2,1)],3) => 3

([(1,4),(2,3),(2,4),(3,5),(4,5)],6) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(0,4),(1,2),(1,4),(2,5),(4,5),(5,3)],6) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(0,5),(1,4),(1,5),(4,2),(5,3)],6) => ([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7) => ([(0,2),(0,3),(3,1)],4) => 2

([(0,4),(1,2),(1,4),(2,5),(4,3),(4,5)],6) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,3),(2,1),(3,2)],4) => 4

([(1,4),(1,5),(2,4),(2,5),(5,3)],6) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(0,4),(0,5),(1,4),(1,5),(4,3),(5,2)],6) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => ([(0,1),(0,2)],3) => 2

([(0,4),(0,5),(1,4),(1,5),(4,3),(5,2),(5,3)],6) => ([(0,3),(2,1),(3,2)],4) => ([(0,2),(2,1)],3) => 3

([(0,4),(0,5),(1,4),(1,5),(4,2),(4,3),(5,2),(5,3)],6) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(0,4),(0,5),(1,4),(1,5),(2,3)],6) => ([(0,1),(0,2),(1,3),(2,3)],4) => ([],2) => 1

([(0,4),(0,5),(1,4),(1,5),(2,3),(5,2)],6) => ([(0,3),(2,1),(3,2)],4) => ([(0,2),(2,1)],3) => 3

([(0,4),(0,5),(1,4),(1,5),(2,3),(4,2),(5,3)],6) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(0,4),(0,5),(1,4),(1,5),(2,3),(2,5)],6) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(0,4),(0,5),(1,4),(1,5),(2,3),(2,4),(2,5)],6) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(1,5),(2,3),(2,5),(5,4)],6) => ([(0,3),(2,1),(3,2)],4) => ([(0,2),(2,1)],3) => 3

([(0,5),(1,3),(1,4),(1,5),(4,2)],6) => ([(0,1),(0,2),(1,3),(2,3)],4) => ([],2) => 1

([(0,5),(1,2),(1,3),(1,5),(5,4)],6) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(0,2),(0,3),(0,5),(4,1),(5,4)],6) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(0,4),(1,2),(1,3),(1,5),(4,5)],6) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(1,3),(1,5),(4,2),(5,4)],6) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(0,4),(0,5),(3,2),(4,3),(5,1)],6) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => ([(1,2)],3) => 1

([(0,2),(0,4),(2,5),(3,1),(4,3),(4,5)],6) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => ([(0,1),(0,2)],3) => 2

([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(0,3),(0,4),(2,5),(3,2),(4,1),(4,5)],6) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => ([(0,2),(1,2)],3) => 2

([(0,2),(0,3),(1,4),(2,4),(2,5),(3,1),(3,5)],6) => ([(0,3),(2,1),(3,2)],4) => ([(0,2),(2,1)],3) => 3

([(0,4),(1,3),(1,5),(5,2)],6) => ([(0,1),(0,2),(1,3),(2,3)],4) => ([],2) => 1

([(0,5),(1,3),(1,4),(4,2),(4,5)],6) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(0,2),(0,4),(1,5),(2,5),(3,1),(4,3)],6) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(1,4),(1,5),(2,3),(2,4),(3,5)],6) => ([(0,3),(2,1),(3,2)],4) => ([(0,2),(2,1)],3) => 3

([(0,4),(0,5),(1,2),(1,4),(2,5),(4,3)],6) => ([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6) => ([(0,3),(3,1),(3,2)],4) => 3

([(0,4),(0,5),(1,2),(1,4),(2,5),(5,3)],6) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,3),(2,1),(3,2)],4) => 4

([(0,2),(0,5),(1,4),(1,5),(2,4),(4,3),(5,3)],6) => ([(0,3),(2,1),(3,2)],4) => ([(0,2),(2,1)],3) => 3

([(0,2),(0,5),(1,4),(1,5),(2,3),(2,4),(5,3)],6) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,3),(2,1),(3,2)],4) => 4

([(0,4),(0,5),(1,2),(1,4),(2,3),(3,5)],6) => ([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6) => ([(0,1),(0,2),(1,3),(2,3)],4) => 3

([(0,4),(0,5),(1,2),(1,3),(1,4),(3,5)],6) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(0,4),(0,5),(1,2),(1,3),(3,5)],6) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(0,2),(0,3),(1,4),(1,5),(2,4),(2,5),(3,1)],6) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(0,2),(0,4),(2,5),(3,1),(3,5),(4,3)],6) => ([(0,3),(2,1),(3,2)],4) => ([(0,2),(2,1)],3) => 3

([(0,3),(0,5),(1,2),(1,4),(2,5),(3,4)],6) => ([(0,3),(0,4),(1,5),(2,5),(3,6),(4,6),(6,1),(6,2)],7) => ([(0,2),(0,3),(1,2),(1,3)],4) => 2

([(1,4),(2,3),(2,5),(4,5)],6) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => ([(0,2),(1,2)],3) => 2

([(0,4),(1,3),(1,5),(4,5),(5,2)],6) => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6) => ([(0,3),(1,3),(3,2)],4) => 3

([(1,4),(1,5),(2,3),(3,4),(3,5)],6) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(0,4),(0,5),(1,3),(3,4),(3,5),(5,2)],6) => ([(0,3),(2,1),(3,2)],4) => ([(0,2),(2,1)],3) => 3

([(0,2),(1,4),(1,5),(2,4),(2,5),(4,3),(5,3)],6) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(0,3),(1,4),(1,5),(3,5),(4,2)],6) => ([(0,3),(0,4),(1,6),(2,5),(3,7),(4,2),(4,7),(5,6),(7,1),(7,5)],8) => ([(0,3),(1,2),(1,3)],4) => 1

([(0,3),(1,2),(1,4),(2,5),(3,4),(4,5)],6) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => ([(0,2),(1,2)],3) => 2

([(0,3),(1,2),(1,4),(2,5),(3,4),(3,5)],6) => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6) => ([(0,3),(1,3),(3,2)],4) => 3

([(0,5),(1,3),(1,4),(5,2)],6) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(0,2),(0,5),(3,4),(4,1),(5,3)],6) => ([(0,3),(2,1),(3,2)],4) => ([(0,2),(2,1)],3) => 3

([(0,4),(0,5),(1,2),(2,3),(2,5),(3,4)],6) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,3),(2,1),(3,2)],4) => 4

([(0,5),(1,2),(2,5),(5,3),(5,4)],6) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(1,3),(2,4),(4,5)],6) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => ([(1,2)],3) => 1

([(1,5),(2,3),(3,4),(3,5)],6) => ([(0,3),(2,1),(3,2)],4) => ([(0,2),(2,1)],3) => 3

([(0,5),(1,4),(4,2),(4,5),(5,3)],6) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,3),(2,1),(3,2)],4) => 4

([(1,5),(3,4),(4,2),(5,3)],6) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,3),(2,1),(3,2)],4) => 4

([(1,4),(2,3),(3,5),(4,5)],6) => ([(0,1),(0,2),(1,3),(2,3)],4) => ([],2) => 1

([(0,4),(1,3),(3,5),(4,5),(5,2)],6) => ([(0,1),(0,2),(1,3),(2,3)],4) => ([],2) => 1

([(0,5),(1,4),(4,2),(5,3)],6) => ([(0,3),(0,4),(1,7),(2,6),(3,2),(3,5),(4,1),(4,5),(5,6),(5,7),(6,8),(7,8)],9) => ([(0,3),(1,2)],4) => 1

([(0,5),(3,4),(4,2),(5,1),(5,3)],6) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

>>> Load all 1726 entries. <<<

([(0,3),(1,4),(3,5),(4,2),(4,5)],6) => ([(0,3),(0,4),(2,6),(3,5),(4,2),(4,5),(5,6),(6,1)],7) => ([(0,3),(1,2),(2,3)],4) => 2

([(0,3),(1,2),(2,4),(2,5),(3,4),(3,5)],6) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => ([(0,2),(1,2)],3) => 2

([(1,5),(2,3),(3,4),(4,5)],6) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(0,5),(1,4),(2,5),(4,2),(5,3)],6) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(0,5),(1,4),(2,3)],6) => ([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(4,7),(5,7),(6,7)],8) => ([],3) => 1

([(0,5),(1,3),(2,4),(2,5)],6) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => ([(1,2)],3) => 1

([(0,5),(1,4),(2,3),(2,4),(2,5)],6) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => ([(0,1),(0,2)],3) => 2

([(0,5),(1,4),(1,5),(3,2),(4,3)],6) => ([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7) => ([(0,2),(0,3),(3,1)],4) => 2

([(0,4),(1,2),(1,4),(2,3),(3,5),(4,5)],6) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => ([(0,1),(0,2)],3) => 2

([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(0,4),(1,2),(1,4),(2,5),(3,5),(4,3)],6) => ([(0,3),(2,1),(3,2)],4) => ([(0,2),(2,1)],3) => 3

([(0,5),(1,4),(2,3),(2,4),(3,5),(4,5)],6) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(0,5),(1,3),(1,5),(4,2),(5,4)],6) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,3),(2,1),(3,2)],4) => 4

([(0,5),(1,4),(2,3),(2,4),(4,5)],6) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(0,4),(1,4),(1,5),(2,3),(2,5)],6) => ([(0,3),(2,1),(3,2)],4) => ([(0,2),(2,1)],3) => 3

([(0,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5)],6) => ([(0,3),(2,1),(3,2)],4) => ([(0,2),(2,1)],3) => 3

([(0,5),(1,4),(1,5),(2,3),(2,4),(3,5)],6) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(0,5),(1,4),(1,5),(2,3),(2,5)],6) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => ([(0,2),(1,2)],3) => 2

([(0,4),(1,3),(1,5),(2,5),(4,2)],6) => ([(0,3),(0,4),(2,6),(3,5),(4,2),(4,5),(5,6),(6,1)],7) => ([(0,3),(1,2),(2,3)],4) => 2

([(0,4),(0,5),(1,2),(2,3),(3,4),(3,5)],6) => ([(0,3),(2,1),(3,2)],4) => ([(0,2),(2,1)],3) => 3

([(0,4),(2,5),(3,1),(3,5),(4,2),(4,3)],6) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(0,5),(1,4),(2,3),(2,5),(4,5)],6) => ([(0,1),(0,2),(1,3),(2,3)],4) => ([],2) => 1

([(0,5),(1,3),(4,2),(5,4)],6) => ([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8) => ([(1,2),(2,3)],4) => 1

([(0,5),(3,2),(4,1),(5,3),(5,4)],6) => ([(0,1),(0,2),(1,3),(2,3)],4) => ([],2) => 1

([(0,5),(1,4),(3,2),(4,3),(4,5)],6) => ([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6) => ([(0,3),(3,1),(3,2)],4) => 3

([(0,5),(1,2),(2,3),(2,5),(3,4),(5,4)],6) => ([(0,3),(2,1),(3,2)],4) => ([(0,2),(2,1)],3) => 3

([(0,5),(1,3),(3,4),(4,2),(4,5)],6) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,3),(2,1),(3,2)],4) => 4

([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => ([(0,4),(2,3),(3,1),(4,2)],5) => 5

([(0,5),(1,3),(2,4),(4,5)],6) => ([(0,1),(0,2),(1,3),(2,3)],4) => ([],2) => 1

([(0,5),(1,4),(2,5),(3,2),(4,3)],6) => ([(0,3),(2,1),(3,2)],4) => ([(0,2),(2,1)],3) => 3

([(0,3),(1,4),(2,5),(3,5),(4,2)],6) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => ([(1,2)],3) => 1

([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => ([(0,1),(0,2),(1,3),(2,3)],4) => ([],2) => 1

([(0,3),(0,4),(0,5),(0,6),(5,2),(6,1)],7) => ([(0,1),(0,2),(1,3),(2,3)],4) => ([],2) => 1

([(0,2),(0,3),(0,4),(0,5),(4,6),(5,1),(5,6)],7) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(1,4),(1,5),(1,6),(5,3),(6,2)],7) => ([(0,1),(0,2),(1,3),(2,3)],4) => ([],2) => 1

([(1,3),(1,4),(1,5),(4,6),(5,2),(5,6)],7) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(0,2),(0,3),(0,4),(2,5),(2,6),(3,5),(3,6),(4,1)],7) => ([(0,1),(0,2),(1,3),(2,3)],4) => ([],2) => 1

([(0,2),(0,3),(0,4),(2,5),(2,6),(3,5),(3,6),(4,1),(4,6)],7) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(0,2),(0,3),(0,4),(2,5),(2,6),(3,5),(3,6),(4,1),(4,5),(4,6)],7) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(0,2),(0,3),(0,4),(3,5),(3,6),(4,5),(4,6),(6,1)],7) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(0,3),(0,4),(0,5),(4,6),(5,1),(5,6),(6,2)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,2),(2,1)],3) => 3

([(0,4),(0,5),(0,6),(4,3),(5,2),(6,1)],7) => ([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(4,7),(5,7),(6,7)],8) => ([],3) => 1

([(0,3),(0,4),(0,5),(3,6),(4,2),(5,1),(5,6)],7) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => ([(1,2)],3) => 1

([(0,2),(0,3),(0,4),(2,6),(3,5),(4,1),(4,5),(4,6)],7) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => ([(0,1),(0,2)],3) => 2

([(0,2),(0,3),(0,4),(2,5),(3,5),(3,6),(4,1),(4,6)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,2),(2,1)],3) => 3

([(0,1),(0,2),(0,3),(1,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(0,1),(0,2),(0,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(0,2),(0,3),(0,4),(2,6),(3,5),(3,6),(4,1),(4,5),(4,6)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,2),(2,1)],3) => 3

([(0,3),(0,4),(0,5),(3,6),(4,2),(4,6),(5,1),(5,6)],7) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => ([(0,2),(1,2)],3) => 2

([(0,2),(0,3),(0,4),(2,6),(3,5),(4,1),(4,5),(5,6)],7) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(2,5),(2,6),(5,4),(6,3)],7) => ([(0,1),(0,2),(1,3),(2,3)],4) => ([],2) => 1

([(2,3),(2,4),(3,6),(4,5),(4,6)],7) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(1,3),(1,4),(3,5),(3,6),(4,5),(4,6),(6,2)],7) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(0,3),(0,4),(3,5),(3,6),(4,5),(4,6),(5,2),(6,1)],7) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => ([(0,1),(0,2)],3) => 2

([(0,2),(0,3),(2,4),(2,6),(3,4),(3,6),(4,5),(6,1),(6,5)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,2),(2,1)],3) => 3

([(0,1),(0,2),(1,5),(1,6),(2,5),(2,6),(5,3),(5,4),(6,3),(6,4)],7) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(1,3),(1,5),(3,6),(5,2),(5,6),(6,4)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,2),(2,1)],3) => 3

([(0,4),(0,5),(4,6),(5,1),(5,2),(5,6),(6,3)],7) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(0,4),(0,5),(1,6),(4,6),(5,1),(6,2),(6,3)],7) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(4,5),(5,6)],7) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(3,4),(4,6),(6,5)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,2),(2,1)],3) => 3

([(0,6),(1,6),(2,6),(3,4),(3,6),(4,5)],7) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(0,6),(1,6),(2,6),(3,4),(4,5)],7) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(0,6),(1,6),(2,6),(3,4),(4,5),(4,6)],7) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(0,3),(1,6),(2,6),(3,5),(4,6),(5,4)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,2),(2,1)],3) => 3

([(0,6),(1,6),(2,6),(3,4),(4,5),(5,6)],7) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(0,6),(1,5),(2,5),(2,6),(6,3),(6,4)],7) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(0,6),(1,5),(1,6),(2,5),(2,6),(5,3),(5,4)],7) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(1,6),(2,6),(4,5),(6,3),(6,4)],7) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(0,6),(1,6),(2,3),(6,4),(6,5)],7) => ([(0,1),(0,2),(1,3),(2,3)],4) => ([],2) => 1

([(0,6),(1,6),(2,5),(6,3),(6,4),(6,5)],7) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(0,6),(1,6),(2,3),(2,6),(6,4),(6,5)],7) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(1,6),(2,6),(3,4),(3,6),(4,5)],7) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(0,6),(1,6),(2,3),(2,6),(3,5),(6,4)],7) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(0,6),(1,6),(2,3),(2,6),(3,4),(3,5),(6,5)],7) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(0,6),(1,6),(2,3),(2,6),(3,5),(5,4)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,2),(2,1)],3) => 3

([(0,6),(1,6),(2,3),(2,6),(3,4),(4,5),(6,5)],7) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(0,6),(1,6),(2,4),(2,5),(6,3),(6,5)],7) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(0,4),(1,4),(2,3),(2,5),(2,6),(4,5),(4,6)],7) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(0,3),(0,4),(0,5),(1,6),(2,6),(4,2),(5,1)],7) => ([(0,1),(0,2),(1,3),(2,3)],4) => ([],2) => 1

([(0,3),(0,4),(0,5),(1,6),(2,6),(3,6),(4,2),(5,1)],7) => ([(0,1),(0,2),(1,3),(2,3)],4) => ([],2) => 1

([(0,6),(1,6),(4,3),(5,2),(5,4),(6,5)],7) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(0,5),(1,5),(2,3),(2,6),(3,4),(5,6)],7) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(0,6),(1,4),(1,5),(3,6),(4,2),(5,3)],7) => ([(0,1),(0,2),(1,3),(2,3)],4) => ([],2) => 1

([(0,6),(1,4),(1,5),(3,6),(4,3),(5,2),(5,6)],7) => ([(0,1),(0,2),(1,3),(2,3)],4) => ([],2) => 1

([(0,6),(1,3),(1,4),(2,6),(3,5),(3,6),(4,2),(4,5)],7) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(0,6),(1,3),(1,4),(2,6),(3,5),(4,2),(4,5)],7) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(0,6),(1,3),(1,4),(2,6),(3,5),(4,2),(4,5),(5,6)],7) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(0,3),(0,4),(1,5),(2,5),(3,6),(4,2),(4,6),(6,1)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,2),(2,1)],3) => 3

([(0,6),(1,4),(1,5),(2,6),(3,6),(4,3),(5,2)],7) => ([(0,1),(0,2),(1,3),(2,3)],4) => ([],2) => 1

([(1,6),(2,6),(3,4),(4,5)],7) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(0,6),(1,6),(2,3),(3,5),(6,4)],7) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(0,6),(1,6),(4,2),(5,4),(6,3),(6,5)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,2),(2,1)],3) => 3

([(1,6),(2,6),(3,4),(4,5),(4,6)],7) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(0,6),(1,6),(2,3),(3,5),(3,6),(6,4)],7) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(0,3),(1,6),(2,6),(3,5),(3,6),(5,4)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,2),(2,1)],3) => 3

([(0,6),(1,6),(2,3),(3,4),(3,6),(4,5),(6,5)],7) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(0,5),(1,5),(2,3),(3,4),(3,6),(5,6)],7) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(1,3),(2,6),(3,5),(4,6),(5,4)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,2),(2,1)],3) => 3

([(0,6),(1,5),(2,6),(4,2),(5,4),(6,3)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,2),(2,1)],3) => 3

([(1,6),(2,6),(3,4),(4,5),(5,6)],7) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(0,6),(1,6),(2,3),(3,5),(5,6),(6,4)],7) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(0,3),(1,6),(2,6),(3,5),(5,4)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,2),(2,1)],3) => 3

([(0,5),(1,5),(2,3),(3,4),(4,6),(5,6)],7) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(0,3),(1,6),(2,6),(3,5),(5,4),(5,6)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,2),(2,1)],3) => 3

([(0,6),(1,6),(2,5),(3,4)],7) => ([(0,1),(0,2),(1,3),(2,3)],4) => ([],2) => 1

([(0,6),(1,6),(4,3),(5,2),(6,4),(6,5)],7) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => ([(0,1),(0,2)],3) => 2

([(0,6),(1,6),(2,5),(3,4),(3,6)],7) => ([(0,1),(0,2),(1,3),(2,3)],4) => ([],2) => 1

([(0,6),(1,6),(2,5),(2,6),(3,4),(3,6)],7) => ([(0,1),(0,2),(1,3),(2,3)],4) => ([],2) => 1

([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5)],7) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(4,6)],7) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(0,6),(1,6),(2,5),(3,4),(3,6),(5,6)],7) => ([(0,1),(0,2),(1,3),(2,3)],4) => ([],2) => 1

([(0,5),(1,5),(2,6),(3,4),(3,6)],7) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(0,6),(1,6),(3,5),(4,2),(4,5),(6,3),(6,4)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,2),(2,1)],3) => 3

([(0,6),(1,6),(2,5),(3,4),(3,5),(3,6)],7) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(0,6),(1,6),(2,5),(3,4),(3,5),(4,6)],7) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(0,6),(1,5),(2,3),(2,5),(3,6),(4,6),(5,4)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,2),(2,1)],3) => 3

([(0,6),(1,6),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(6,2),(6,3)],7) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(0,6),(1,4),(1,5),(2,4),(2,5),(3,6),(5,3)],7) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(0,5),(0,6),(1,5),(1,6),(2,4),(3,4),(5,3),(6,2)],7) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => ([(0,1),(0,2)],3) => 2

([(0,5),(0,6),(1,5),(1,6),(2,3),(4,3),(5,4),(6,2),(6,4)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,2),(2,1)],3) => 3

([(0,5),(0,6),(1,5),(1,6),(3,2),(4,2),(5,3),(5,4),(6,3),(6,4)],7) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(0,6),(1,4),(1,5),(2,4),(2,5),(3,6),(4,6),(5,3)],7) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(0,6),(1,5),(2,3),(2,5),(4,6),(5,4)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,2),(2,1)],3) => 3

([(0,6),(1,6),(2,5),(3,4),(3,5),(5,6)],7) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(0,6),(1,6),(2,4),(3,5),(5,6)],7) => ([(0,1),(0,2),(1,3),(2,3)],4) => ([],2) => 1

([(0,6),(1,6),(2,5),(3,4),(4,6),(5,6)],7) => ([(0,1),(0,2),(1,3),(2,3)],4) => ([],2) => 1

([(0,6),(1,6),(2,5),(3,5),(4,3),(6,2),(6,4)],7) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(0,6),(1,2),(2,6),(3,5),(4,5),(6,3),(6,4)],7) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(3,6),(4,5)],7) => ([(0,1),(0,2),(1,3),(2,3)],4) => ([],2) => 1

([(3,6),(4,5),(4,6)],7) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(2,6),(3,4),(3,6),(4,5)],7) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => ([(0,1),(0,2)],3) => 2

([(0,6),(1,4),(1,6),(4,2),(4,3),(4,5),(6,5)],7) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(1,5),(2,3),(2,5),(3,4),(3,6),(5,6)],7) => ([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6) => ([(0,1),(0,2),(1,3),(2,3)],4) => 3

([(1,4),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,2),(2,1)],3) => 3

([(0,5),(1,4),(1,5),(4,3),(4,6),(5,6),(6,2)],7) => ([(0,5),(2,6),(3,6),(4,1),(5,2),(5,3),(6,4)],7) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => 4

([(0,6),(1,5),(1,6),(5,2),(5,3),(6,4)],7) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(2,5),(3,4),(3,5),(4,6),(5,6)],7) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(1,5),(2,3),(2,5),(3,6),(5,6),(6,4)],7) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(0,5),(1,4),(1,5),(4,6),(5,6),(6,2),(6,3)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,2),(2,1)],3) => 3

([(1,6),(2,3),(2,6),(3,5),(6,4)],7) => ([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7) => ([(0,2),(0,3),(3,1)],4) => 2

([(1,5),(2,3),(2,5),(3,6),(5,4),(5,6)],7) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,3),(2,1),(3,2)],4) => 4

([(1,6),(2,3),(2,6),(3,5),(5,4)],7) => ([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7) => ([(0,2),(0,3),(3,1)],4) => 2

([(1,5),(2,3),(2,5),(3,4),(4,6),(5,6)],7) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => ([(0,1),(0,2)],3) => 2

([(0,5),(1,4),(1,5),(3,6),(4,3),(5,6),(6,2)],7) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => ([(0,1),(0,2)],3) => 2

([(0,6),(1,5),(1,6),(4,2),(5,4),(6,3)],7) => ([(0,5),(1,8),(2,7),(3,2),(3,6),(4,1),(4,6),(5,3),(5,4),(6,7),(6,8),(7,9),(8,9)],10) => ([(0,3),(0,4),(3,2),(4,1)],5) => 2

([(0,6),(1,3),(1,6),(3,5),(5,4),(6,2),(6,5)],7) => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => ([(0,4),(2,3),(3,1),(4,2)],5) => 5

([(0,6),(1,4),(1,6),(3,5),(4,3),(6,2),(6,5)],7) => ([(0,5),(2,7),(3,6),(4,2),(4,6),(5,3),(5,4),(6,7),(7,1)],8) => ([(0,2),(0,3),(1,4),(2,4),(3,1)],5) => 3

([(0,6),(1,3),(1,6),(3,4),(4,2),(4,5),(6,5)],7) => ([(0,5),(2,7),(3,6),(4,2),(4,6),(5,3),(5,4),(6,7),(7,1)],8) => ([(0,2),(0,3),(1,4),(2,4),(3,1)],5) => 3

([(0,6),(1,2),(1,6),(2,3),(3,4),(3,5),(6,4),(6,5)],7) => ([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6) => ([(0,1),(0,2),(1,3),(2,3)],4) => 3

([(2,5),(2,6),(3,5),(3,6),(6,4)],7) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(1,5),(1,6),(2,5),(2,6),(5,4),(6,3)],7) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => ([(0,1),(0,2)],3) => 2

([(1,4),(1,6),(2,4),(2,6),(4,5),(6,3),(6,5)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,2),(2,1)],3) => 3

([(1,5),(1,6),(2,5),(2,6),(5,3),(5,4),(6,3),(6,4)],7) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(1,5),(1,6),(2,5),(2,6),(3,4)],7) => ([(0,1),(0,2),(1,3),(2,3)],4) => ([],2) => 1

([(1,6),(2,4),(2,5),(3,4),(3,5),(3,6)],7) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(0,4),(1,5),(1,6),(2,4),(2,5),(2,6),(6,3)],7) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => ([(0,1),(0,2)],3) => 2

([(0,4),(1,5),(1,6),(2,4),(2,5),(2,6),(5,3),(6,3)],7) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(0,6),(1,4),(1,5),(2,4),(2,5),(2,6),(5,3),(6,3)],7) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(0,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(5,3)],7) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => ([(0,1),(0,2)],3) => 2

([(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,6),(3,5),(4,5)],7) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,6),(4,5),(6,5)],7) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(6,3)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,2),(2,1)],3) => 3

([(0,6),(1,4),(1,5),(2,4),(2,5),(2,6),(6,3)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,2),(2,1)],3) => 3

([(1,5),(1,6),(2,5),(2,6),(3,4),(6,3)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,2),(2,1)],3) => 3

([(0,5),(0,6),(1,5),(1,6),(4,3),(5,4),(6,2)],7) => ([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7) => ([(0,2),(0,3),(3,1)],4) => 2

([(0,5),(0,6),(1,5),(1,6),(2,3),(5,4),(6,2),(6,4)],7) => ([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6) => ([(0,3),(3,1),(3,2)],4) => 3

([(0,5),(0,6),(1,5),(1,6),(4,2),(5,3),(5,4),(6,3),(6,4)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,2),(2,1)],3) => 3

([(0,5),(0,6),(1,5),(1,6),(2,4),(5,2),(5,3),(6,3),(6,4)],7) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,3),(2,1),(3,2)],4) => 4

([(0,5),(0,6),(1,5),(1,6),(4,3),(5,4),(6,2),(6,4)],7) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,3),(2,1),(3,2)],4) => 4

([(0,5),(0,6),(1,5),(1,6),(3,4),(5,3),(6,2),(6,4)],7) => ([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6) => ([(0,1),(0,2),(1,3),(2,3)],4) => 3

([(1,4),(1,5),(2,4),(2,5),(3,6),(4,6),(5,3)],7) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(0,5),(1,4),(1,6),(2,4),(2,6),(4,5),(6,3)],7) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(0,6),(1,4),(1,5),(2,4),(2,5),(4,6),(5,3),(5,6)],7) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(0,5),(0,6),(1,5),(1,6),(2,4),(6,3)],7) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => ([(1,2)],3) => 1

([(0,5),(1,4),(1,6),(2,4),(2,6),(6,3),(6,5)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,2),(2,1)],3) => 3

([(0,4),(0,5),(1,4),(1,5),(2,3),(4,6),(5,6)],7) => ([(0,1),(0,2),(1,3),(2,3)],4) => ([],2) => 1

([(1,5),(1,6),(2,5),(2,6),(3,4),(3,6)],7) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(0,5),(0,6),(1,5),(1,6),(2,3),(2,6),(6,4)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,2),(2,1)],3) => 3

([(0,5),(0,6),(1,5),(1,6),(2,3),(2,6),(5,4)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,2),(2,1)],3) => 3

([(0,4),(0,6),(1,4),(1,6),(2,3),(2,6),(4,5),(6,5)],7) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(6,3)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,2),(2,1)],3) => 3

([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(2,6),(5,4),(6,4)],7) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4)],7) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => ([(0,1),(0,2)],3) => 2

([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(6,4)],7) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(0,4),(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(0,5),(0,6),(1,5),(1,6),(2,3),(2,6),(3,4)],7) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => ([(0,1),(0,2)],3) => 2

([(0,4),(0,6),(1,4),(1,6),(2,3),(2,6),(3,5),(6,5)],7) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(0,4),(0,6),(1,4),(1,6),(2,3),(2,6),(3,5),(4,5)],7) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(0,4),(0,5),(1,4),(1,5),(2,3),(2,5),(3,6),(4,6),(5,6)],7) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(3,4),(3,6)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,2),(2,1)],3) => 3

([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(3,4),(4,6)],7) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(0,5),(0,6),(1,5),(1,6),(4,2),(4,3),(5,4),(6,4)],7) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(0,5),(0,6),(1,5),(1,6),(3,2),(3,4),(5,3),(6,4)],7) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,3),(2,1),(3,2)],4) => 4

([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(5,2),(6,3),(6,4)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,2),(2,1)],3) => 3

([(0,4),(0,5),(1,4),(1,5),(2,3),(2,6),(5,6)],7) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => ([(0,2),(1,2)],3) => 2

([(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(6,3),(6,4)],7) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(0,4),(0,5),(1,4),(1,5),(2,3),(2,6),(4,6),(5,6)],7) => ([(0,1),(0,2),(1,3),(2,3)],4) => ([],2) => 1

([(0,4),(0,6),(1,4),(1,6),(2,3),(2,5),(2,6),(4,5)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,2),(2,1)],3) => 3

([(0,5),(0,6),(1,2),(1,4),(3,5),(3,6),(4,3)],7) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(3,2),(4,1)],7) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => ([(0,2),(1,2)],3) => 2

([(0,5),(0,6),(1,5),(1,6),(2,3),(3,4)],7) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => ([(1,2)],3) => 1

([(0,5),(0,6),(1,5),(1,6),(3,4),(4,2),(6,3)],7) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,3),(2,1),(3,2)],4) => 4

([(0,5),(0,6),(1,5),(1,6),(3,4),(4,2),(5,3),(6,4)],7) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(0,5),(0,6),(1,5),(1,6),(2,3),(3,4),(5,2),(6,4)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,2),(2,1)],3) => 3

([(0,4),(0,5),(1,4),(1,5),(2,3),(3,6),(5,6)],7) => ([(0,1),(0,2),(1,3),(2,3)],4) => ([],2) => 1

([(0,4),(0,5),(1,4),(1,5),(2,3),(3,6),(4,6),(5,6)],7) => ([(0,1),(0,2),(1,3),(2,3)],4) => ([],2) => 1

([(0,5),(0,6),(1,5),(1,6),(2,3),(3,4),(3,6)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,2),(2,1)],3) => 3

([(0,5),(0,6),(1,5),(1,6),(2,3),(3,4),(3,5),(3,6)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,2),(2,1)],3) => 3

([(0,5),(0,6),(1,5),(1,6),(2,3),(3,4),(3,6),(4,5)],7) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(0,5),(0,6),(1,5),(1,6),(2,3),(3,4),(4,6)],7) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(0,5),(0,6),(1,5),(1,6),(2,3),(3,4),(4,5),(4,6)],7) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(2,6),(3,4),(3,6),(6,5)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,2),(2,1)],3) => 3

([(1,6),(2,3),(2,4),(2,6),(4,5)],7) => ([(0,1),(0,2),(1,3),(2,3)],4) => ([],2) => 1

([(0,6),(1,3),(1,4),(1,6),(4,2),(4,5),(6,5)],7) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => ([(0,2),(1,2)],3) => 2

([(0,6),(1,2),(1,3),(1,6),(3,4),(3,5),(6,4),(6,5)],7) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(0,6),(1,3),(1,5),(1,6),(5,2),(6,4)],7) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => ([(1,2)],3) => 1

([(0,6),(1,3),(1,4),(1,6),(4,5),(6,2),(6,5)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,2),(2,1)],3) => 3

([(0,6),(1,3),(1,4),(1,6),(3,5),(4,5),(6,2)],7) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(0,5),(1,2),(1,3),(1,5),(2,6),(3,6),(5,4),(5,6)],7) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(0,6),(1,4),(1,5),(1,6),(4,3),(5,2)],7) => ([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(4,7),(5,7),(6,7)],8) => ([],3) => 1

([(0,6),(1,3),(1,4),(1,6),(3,5),(4,2),(4,5)],7) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => ([(1,2)],3) => 1

([(0,5),(1,3),(1,4),(1,5),(3,6),(4,2),(4,6),(5,6)],7) => ([(0,1),(0,2),(1,3),(2,3)],4) => ([],2) => 1

([(0,6),(1,2),(1,3),(1,6),(2,4),(2,5),(3,4),(3,5)],7) => ([(0,1),(0,2),(1,3),(2,3)],4) => ([],2) => 1

([(0,6),(1,3),(1,4),(1,6),(3,5),(4,2),(6,5)],7) => ([(0,1),(0,2),(1,3),(2,3)],4) => ([],2) => 1

([(1,6),(2,3),(2,4),(2,6),(6,5)],7) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(0,6),(1,3),(1,4),(1,5),(1,6),(5,2)],7) => ([(0,1),(0,2),(1,3),(2,3)],4) => ([],2) => 1

([(0,6),(1,2),(1,3),(1,4),(1,6),(6,5)],7) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(0,2),(0,3),(0,4),(0,6),(5,1),(6,5)],7) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(0,5),(1,2),(1,3),(1,4),(1,6),(5,6)],7) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(1,3),(1,4),(1,6),(5,2),(6,5)],7) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(0,3),(0,4),(0,5),(2,6),(3,6),(4,1),(5,2)],7) => ([(0,1),(0,2),(1,3),(2,3)],4) => ([],2) => 1

([(0,3),(0,4),(0,5),(2,6),(3,6),(4,2),(5,1),(5,6)],7) => ([(0,1),(0,2),(1,3),(2,3)],4) => ([],2) => 1

([(0,2),(0,3),(0,4),(1,6),(2,6),(3,5),(3,6),(4,1),(4,5)],7) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(0,2),(0,3),(0,4),(1,5),(2,5),(3,6),(4,1),(4,6)],7) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(0,2),(0,3),(0,4),(1,6),(2,6),(3,5),(4,1),(4,5),(5,6)],7) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(0,5),(1,3),(1,4),(1,6),(6,2)],7) => ([(0,1),(0,2),(1,3),(2,3)],4) => ([],2) => 1

([(0,6),(1,3),(1,4),(1,5),(5,2),(5,6)],7) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(0,4),(1,2),(1,3),(1,6),(3,5),(4,5),(4,6)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,2),(2,1)],3) => 3

([(0,2),(0,3),(0,5),(1,6),(3,6),(4,1),(5,4)],7) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(0,3),(0,5),(0,6),(4,1),(5,2),(6,4)],7) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => ([(1,2)],3) => 1

([(0,3),(0,4),(0,5),(2,6),(4,2),(5,1),(5,6)],7) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => ([(0,2),(1,2)],3) => 2

([(0,2),(0,3),(0,4),(1,5),(3,5),(3,6),(4,1),(4,6)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,2),(2,1)],3) => 3

([(0,2),(0,3),(0,5),(3,6),(4,1),(5,4),(5,6)],7) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => ([(0,1),(0,2)],3) => 2

([(0,2),(0,3),(0,4),(1,6),(3,5),(4,1),(4,5),(5,6)],7) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(0,4),(1,2),(1,3),(1,6),(2,5),(3,5),(4,6)],7) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(0,4),(1,2),(1,3),(1,5),(2,6),(3,6),(4,5),(4,6)],7) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(0,4),(1,2),(1,3),(1,5),(2,6),(3,6),(4,5),(5,6)],7) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(0,2),(0,3),(0,5),(1,6),(2,6),(3,6),(4,1),(5,4)],7) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(0,2),(0,3),(0,5),(2,6),(3,6),(4,1),(5,4)],7) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(0,2),(0,3),(0,5),(2,6),(3,6),(4,1),(5,4),(5,6)],7) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(1,5),(2,3),(2,4),(2,6),(5,6)],7) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(0,5),(1,2),(1,3),(1,6),(5,6),(6,4)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,2),(2,1)],3) => 3

([(0,4),(1,3),(1,5),(1,6),(4,6),(5,2)],7) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => ([(1,2)],3) => 1

([(0,4),(1,2),(1,3),(1,5),(3,6),(4,5),(5,6)],7) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(0,6),(1,3),(1,4),(1,5),(6,2)],7) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(0,2),(0,3),(0,6),(4,5),(5,1),(6,4)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,2),(2,1)],3) => 3

([(2,4),(2,6),(5,3),(6,5)],7) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(1,5),(1,6),(4,3),(5,4),(6,2)],7) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => ([(1,2)],3) => 1

([(1,3),(1,5),(3,6),(4,2),(5,4),(5,6)],7) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => ([(0,1),(0,2)],3) => 2

([(0,2),(0,4),(2,5),(3,1),(3,6),(4,3),(4,5),(5,6)],7) => ([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6) => ([(0,1),(0,2),(1,3),(2,3)],4) => 3

([(0,2),(0,3),(1,5),(1,6),(2,4),(3,1),(3,4),(4,5),(4,6)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,2),(2,1)],3) => 3

([(1,3),(1,4),(2,6),(3,5),(4,2),(4,5),(5,6)],7) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(0,3),(0,4),(2,6),(3,5),(4,2),(4,5),(5,6),(6,1)],7) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(0,3),(0,5),(3,6),(4,1),(5,4),(5,6),(6,2)],7) => ([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7) => ([(0,2),(0,3),(3,1)],4) => 2

([(0,3),(0,4),(2,5),(3,6),(4,2),(4,6),(6,1),(6,5)],7) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,3),(2,1),(3,2)],4) => 4

([(1,3),(1,4),(3,6),(4,5),(5,2),(5,6)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,2),(2,1)],3) => 3

([(0,3),(0,5),(3,6),(4,1),(4,6),(5,4),(6,2)],7) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,3),(2,1),(3,2)],4) => 4

([(0,2),(0,3),(1,4),(1,6),(2,4),(2,5),(3,1),(3,5),(5,6)],7) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,3),(2,1),(3,2)],4) => 4

([(1,4),(1,5),(3,6),(4,3),(5,2),(5,6)],7) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => ([(0,2),(1,2)],3) => 2

([(1,3),(1,4),(2,5),(3,5),(3,6),(4,2),(4,6)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,2),(2,1)],3) => 3

([(0,3),(0,4),(2,6),(3,5),(3,6),(4,2),(4,5),(6,1)],7) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,3),(2,1),(3,2)],4) => 4

([(0,2),(0,3),(1,4),(2,4),(2,5),(3,1),(3,5),(4,6),(5,6)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,2),(2,1)],3) => 3

([(0,3),(0,4),(2,5),(3,5),(3,6),(4,2),(4,6),(6,1)],7) => ([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6) => ([(0,3),(3,1),(3,2)],4) => 3

([(0,4),(0,5),(2,6),(4,2),(5,1),(5,6),(6,3)],7) => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6) => ([(0,3),(1,3),(3,2)],4) => 3

([(0,5),(0,6),(4,3),(5,4),(6,1),(6,2)],7) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(0,4),(0,5),(3,6),(4,3),(5,1),(5,2),(5,6)],7) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(1,5),(2,4),(2,6),(6,3)],7) => ([(0,1),(0,2),(1,3),(2,3)],4) => ([],2) => 1

([(1,6),(2,3),(2,4),(4,5),(4,6)],7) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(0,6),(1,3),(1,5),(5,2),(5,6),(6,4)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,2),(2,1)],3) => 3

([(1,4),(2,3),(2,6),(3,5),(4,6)],7) => ([(0,3),(0,4),(1,6),(2,5),(3,7),(4,2),(4,7),(5,6),(7,1),(7,5)],8) => ([(0,3),(1,2),(1,3)],4) => 1

([(0,4),(1,5),(1,6),(4,6),(5,2),(5,3)],7) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(0,3),(1,4),(1,6),(3,6),(4,2),(4,5),(6,5)],7) => ([(0,4),(0,5),(1,6),(3,7),(4,8),(5,1),(5,8),(6,7),(7,2),(8,3),(8,6)],9) => ([(0,3),(1,2),(1,3),(2,4),(3,4)],5) => 2

([(0,2),(1,3),(1,6),(2,6),(3,4),(3,5),(6,4),(6,5)],7) => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6) => ([(0,3),(1,3),(3,2)],4) => 3

([(1,4),(2,3),(2,5),(3,6),(4,5),(4,6)],7) => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6) => ([(0,3),(1,3),(3,2)],4) => 3

([(0,4),(1,3),(1,6),(3,5),(4,5),(4,6),(6,2)],7) => ([(0,3),(0,4),(1,6),(2,6),(3,7),(4,7),(5,1),(5,2),(7,5)],8) => ([(0,4),(1,4),(4,2),(4,3)],5) => 3

([(0,3),(1,2),(1,5),(2,6),(3,5),(3,6),(5,4),(6,4)],7) => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6) => ([(0,3),(1,3),(3,2)],4) => 3

([(0,4),(1,3),(1,5),(3,6),(4,5),(4,6),(6,2)],7) => ([(0,2),(0,3),(2,6),(3,6),(4,1),(5,4),(6,5)],7) => ([(0,4),(1,4),(2,3),(4,2)],5) => 4

([(1,4),(2,3),(2,5),(3,6),(4,5),(5,6)],7) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => ([(0,2),(1,2)],3) => 2

([(0,4),(1,3),(1,5),(3,6),(4,5),(5,6),(6,2)],7) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => ([(0,2),(1,2)],3) => 2

([(0,4),(1,5),(1,6),(4,6),(5,2),(6,3)],7) => ([(0,3),(0,5),(1,8),(2,7),(3,6),(4,2),(4,9),(5,1),(5,6),(6,4),(6,8),(8,9),(9,7)],10) => ([(0,4),(1,2),(1,4),(4,3)],5) => 1

([(0,3),(1,4),(1,6),(3,6),(4,5),(6,2),(6,5)],7) => ([(0,2),(0,3),(2,6),(3,6),(4,1),(5,4),(6,5)],7) => ([(0,4),(1,4),(2,3),(4,2)],5) => 4

([(1,3),(1,5),(2,6),(3,6),(4,2),(5,4)],7) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(0,3),(0,5),(1,6),(3,6),(4,1),(5,4),(6,2)],7) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(0,4),(1,3),(1,5),(3,6),(4,6),(5,2)],7) => ([(0,1),(0,2),(1,3),(2,3)],4) => ([],2) => 1

([(0,4),(1,3),(1,5),(3,6),(4,6),(5,2),(5,6)],7) => ([(0,1),(0,2),(1,3),(2,3)],4) => ([],2) => 1

([(0,6),(1,4),(1,5),(5,3),(6,2)],7) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => ([(1,2)],3) => 1

([(0,3),(0,6),(4,5),(5,2),(6,1),(6,4)],7) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(0,4),(1,3),(1,5),(4,6),(5,2),(5,6)],7) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => ([(0,2),(1,2)],3) => 2

([(0,4),(1,2),(1,3),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(0,2),(0,4),(1,5),(1,6),(2,5),(2,6),(3,1),(4,3)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,2),(2,1)],3) => 3

([(0,3),(1,2),(1,6),(2,4),(2,5),(3,4),(3,6),(6,5)],7) => ([(0,2),(0,3),(2,6),(3,6),(4,1),(5,4),(6,5)],7) => ([(0,4),(1,4),(2,3),(4,2)],5) => 4

([(0,5),(1,3),(1,4),(4,6),(5,2),(5,6)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,2),(2,1)],3) => 3

([(0,2),(0,5),(2,6),(3,4),(4,1),(4,6),(5,3)],7) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,3),(2,1),(3,2)],4) => 4

([(0,5),(1,3),(1,4),(3,6),(4,6),(5,2)],7) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(0,5),(1,3),(1,4),(3,6),(4,6),(5,2),(5,6)],7) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(0,3),(0,4),(3,6),(4,6),(5,1),(6,2),(6,5)],7) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(0,4),(1,5),(1,6),(5,3),(6,2)],7) => ([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(4,7),(5,7),(6,7)],8) => ([],3) => 1

([(0,5),(0,6),(4,3),(5,1),(6,2),(6,4)],7) => ([(0,1),(0,2),(1,3),(2,3)],4) => ([],2) => 1

([(0,3),(0,5),(3,6),(4,2),(5,1),(5,4),(5,6)],7) => ([(0,1),(0,2),(1,3),(2,3)],4) => ([],2) => 1

([(0,6),(1,4),(1,5),(4,3),(5,2),(5,6)],7) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => ([(1,2)],3) => 1

([(0,6),(1,3),(1,4),(3,5),(4,2),(4,6),(6,5)],7) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(0,4),(0,5),(3,6),(4,2),(4,6),(5,1),(5,3)],7) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(0,3),(0,4),(2,5),(3,5),(3,6),(4,1),(4,2),(4,6)],7) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(0,6),(1,4),(1,5),(4,3),(4,6),(5,2),(5,6)],7) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => ([(0,2),(1,2)],3) => 2

([(0,6),(1,3),(1,4),(3,5),(3,6),(4,2),(4,5)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,2),(2,1)],3) => 3

([(0,2),(0,3),(1,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(0,6),(1,2),(1,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(0,6),(1,3),(1,4),(3,5),(3,6),(4,2),(4,5),(4,6)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,2),(2,1)],3) => 3

([(0,4),(1,3),(1,5),(3,6),(5,2),(5,6)],7) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => ([(1,2)],3) => 1

([(0,6),(1,3),(1,4),(3,5),(4,2),(4,5),(4,6)],7) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => ([(0,1),(0,2)],3) => 2

([(0,4),(1,2),(1,3),(2,5),(2,6),(3,5),(3,6)],7) => ([(0,1),(0,2),(1,3),(2,3)],4) => ([],2) => 1

([(0,2),(0,3),(2,5),(2,6),(3,5),(3,6),(4,1),(6,4)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,2),(2,1)],3) => 3

([(0,2),(0,3),(1,5),(2,4),(2,6),(3,4),(3,6),(4,5),(6,1)],7) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(0,3),(0,5),(3,6),(4,2),(5,1),(5,6),(6,4)],7) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,3),(2,1),(3,2)],4) => 4

([(0,6),(1,3),(1,4),(3,5),(4,2),(4,5),(5,6)],7) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(1,4),(1,5),(2,6),(3,6),(4,3),(5,2)],7) => ([(0,1),(0,2),(1,3),(2,3)],4) => ([],2) => 1

([(0,4),(0,5),(1,6),(2,6),(4,2),(5,1),(6,3)],7) => ([(0,1),(0,2),(1,3),(2,3)],4) => ([],2) => 1

([(0,5),(0,6),(1,2),(1,5),(1,6),(5,4),(6,3)],7) => ([(0,1),(0,2),(1,3),(2,3)],4) => ([],2) => 1

([(0,5),(0,6),(1,3),(1,5),(1,6),(5,4),(6,2),(6,4)],7) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(5,3),(6,2)],7) => ([(0,1),(0,2),(1,3),(2,3)],4) => ([],2) => 1

([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(5,3),(6,2),(6,3)],7) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(6,2)],7) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(0,5),(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,6),(4,5)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,2),(2,1)],3) => 3

([(0,5),(0,6),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6)],7) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(0,4),(0,5),(0,6),(1,3),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4)],7) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(3,6)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,2),(2,1)],3) => 3

([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(3,6)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,2),(2,1)],3) => 3

([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(3,5),(3,6)],7) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(3,6)],7) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => ([(0,2),(1,2)],3) => 2

([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(3,5),(3,6)],7) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(3,4),(3,5),(3,6)],7) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(0,5),(0,6),(1,4),(1,5),(1,6),(4,3),(6,2)],7) => ([(0,1),(0,2),(1,3),(2,3)],4) => ([],2) => 1

([(0,5),(0,6),(1,3),(1,5),(1,6),(3,4),(6,2),(6,4)],7) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(0,5),(0,6),(1,3),(1,5),(1,6),(3,2),(3,4),(6,4)],7) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(2,5),(2,6),(3,4),(3,5),(4,6)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,2),(2,1)],3) => 3

([(1,5),(1,6),(2,3),(2,5),(3,6),(5,4)],7) => ([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6) => ([(0,3),(3,1),(3,2)],4) => 3

([(1,4),(1,6),(2,3),(2,4),(3,6),(4,5),(6,5)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,2),(2,1)],3) => 3

([(1,5),(1,6),(2,3),(2,5),(3,6),(6,4)],7) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,3),(2,1),(3,2)],4) => 4

([(0,5),(0,6),(1,2),(1,6),(2,5),(5,3),(6,4)],7) => ([(0,4),(1,7),(2,6),(3,1),(3,6),(4,5),(5,2),(5,3),(6,7)],8) => ([(0,4),(3,2),(4,1),(4,3)],5) => 3

([(0,3),(0,6),(1,5),(1,6),(3,5),(5,4),(6,2),(6,4)],7) => ([(0,4),(1,6),(2,6),(4,5),(5,1),(5,2),(6,3)],7) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => 4

([(0,3),(0,6),(1,5),(1,6),(3,5),(5,2),(5,4),(6,4)],7) => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => ([(0,4),(2,3),(3,1),(4,2)],5) => 5

([(0,2),(0,6),(1,5),(1,6),(2,5),(5,3),(5,4),(6,3),(6,4)],7) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,3),(2,1),(3,2)],4) => 4

([(0,4),(0,6),(1,5),(1,6),(5,2),(6,3)],7) => ([(0,1),(0,2),(1,3),(2,3)],4) => ([],2) => 1

([(0,3),(0,6),(1,4),(1,6),(4,5),(6,2),(6,5)],7) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(1,4),(1,5),(2,3),(2,4),(3,5),(3,6),(4,6)],7) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,3),(2,1),(3,2)],4) => 4

([(0,3),(0,6),(1,5),(1,6),(3,4),(3,5),(5,2),(6,4)],7) => ([(0,4),(1,6),(2,6),(3,5),(4,3),(5,1),(5,2)],7) => ([(0,3),(3,4),(4,1),(4,2)],5) => 4

([(0,2),(0,6),(1,5),(1,6),(2,4),(2,5),(5,3),(6,3),(6,4)],7) => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => ([(0,4),(2,3),(3,1),(4,2)],5) => 5

([(0,3),(0,6),(1,4),(1,6),(4,2),(4,5),(6,5)],7) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(0,5),(0,6),(1,4),(1,6),(4,2),(5,3)],7) => ([(0,1),(0,2),(1,3),(2,3)],4) => ([],2) => 1

([(0,3),(0,6),(1,4),(1,6),(3,5),(4,2),(4,5)],7) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(1,5),(1,6),(2,3),(2,5),(3,4),(4,6)],7) => ([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6) => ([(0,1),(0,2),(1,3),(2,3)],4) => 3

([(0,5),(0,6),(1,4),(1,6),(3,5),(4,3),(6,2)],7) => ([(0,5),(1,7),(2,8),(3,6),(4,3),(4,8),(5,2),(5,4),(6,7),(8,1),(8,6)],9) => ([(0,2),(0,3),(2,4),(3,1),(3,4)],5) => 2

([(0,5),(0,6),(1,4),(1,5),(3,6),(4,3),(6,2)],7) => ([(0,5),(2,6),(3,6),(4,1),(5,2),(5,3),(6,4)],7) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => 4

([(0,2),(0,6),(1,5),(1,6),(2,3),(3,5),(5,4),(6,4)],7) => ([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6) => ([(0,1),(0,2),(1,3),(2,3)],4) => 3

([(1,5),(1,6),(2,3),(2,4),(2,5),(4,6)],7) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(0,5),(0,6),(1,3),(1,4),(1,6),(4,5),(6,2)],7) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => ([(0,1),(0,2)],3) => 2

([(0,5),(0,6),(1,2),(1,3),(1,5),(2,6),(3,6),(5,4)],7) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(0,5),(0,6),(1,3),(1,4),(1,6),(3,5),(4,2)],7) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => ([(1,2)],3) => 1

([(0,2),(0,3),(0,6),(1,4),(1,6),(2,5),(3,4),(3,5)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,2),(2,1)],3) => 3

([(0,4),(0,5),(1,2),(1,3),(1,4),(2,6),(3,5),(3,6),(4,6)],7) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(0,4),(0,6),(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6)],7) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(0,2),(0,3),(0,6),(1,5),(1,6),(2,4),(3,5),(6,4)],7) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(0,4),(0,5),(1,2),(1,3),(1,4),(2,5),(3,6),(4,6),(5,6)],7) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(0,5),(0,6),(1,3),(1,4),(1,5),(3,6),(4,2),(4,6)],7) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => ([(0,2),(1,2)],3) => 2

([(0,2),(0,3),(0,5),(1,5),(1,6),(2,4),(3,6),(6,4)],7) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(0,5),(0,6),(1,3),(1,4),(1,5),(4,6),(6,2)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,2),(2,1)],3) => 3

([(0,2),(0,3),(0,6),(1,5),(1,6),(3,5),(5,4),(6,4)],7) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(0,2),(0,3),(0,6),(1,5),(1,6),(3,4),(3,5),(6,4)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,2),(2,1)],3) => 3

([(0,3),(0,5),(0,6),(1,4),(1,5),(1,6),(3,4),(6,2)],7) => ([(0,1),(0,2),(1,3),(2,3)],4) => ([],2) => 1

([(0,3),(0,5),(0,6),(1,4),(1,5),(1,6),(3,4),(4,2)],7) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(0,2),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(6,3)],7) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(0,2),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(3,4)],7) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(0,4),(0,5),(1,3),(1,5),(1,6),(4,6),(6,2)],7) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(0,4),(0,6),(1,3),(1,5),(1,6),(4,5),(6,2)],7) => ([(0,1),(0,2),(1,3),(2,3)],4) => ([],2) => 1

([(0,3),(0,6),(1,4),(1,5),(1,6),(3,5),(4,2)],7) => ([(0,1),(0,2),(1,3),(2,3)],4) => ([],2) => 1

([(0,3),(0,6),(1,2),(1,4),(1,6),(2,5),(3,4),(3,5)],7) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(0,3),(0,6),(1,2),(1,5),(1,6),(3,4),(3,5),(6,4)],7) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(0,5),(0,6),(1,2),(1,3),(1,4),(1,6),(4,5)],7) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(0,5),(0,6),(1,2),(1,3),(1,4),(4,6)],7) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(0,2),(0,3),(0,4),(1,5),(1,6),(3,5),(3,6),(4,1)],7) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(0,2),(0,3),(0,5),(3,6),(4,1),(4,6),(5,4)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,2),(2,1)],3) => 3

([(0,4),(0,6),(1,2),(1,3),(1,5),(2,6),(3,6),(4,5)],7) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(0,2),(0,3),(0,5),(2,6),(3,6),(4,1),(4,6),(5,4)],7) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(0,4),(0,6),(1,2),(1,3),(1,5),(3,6),(4,5)],7) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => ([(0,1),(0,2)],3) => 2

([(0,2),(0,3),(0,6),(1,4),(1,5),(1,6),(2,5),(3,4)],7) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => ([(0,1),(0,2)],3) => 2

([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(2,6),(3,5),(3,6)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,2),(2,1)],3) => 3

([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6)],7) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(0,3),(0,5),(0,6),(1,2),(1,4),(1,6),(2,5),(3,4)],7) => ([(0,1),(0,2),(1,3),(2,3)],4) => ([],2) => 1

([(0,4),(0,5),(0,6),(1,2),(1,3),(2,6),(3,5)],7) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => ([(0,1),(0,2)],3) => 2

([(0,4),(0,5),(0,6),(1,2),(1,3),(2,6),(3,5),(3,6)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,2),(2,1)],3) => 3

([(0,4),(0,5),(0,6),(1,2),(1,3),(2,5),(2,6),(3,5),(3,6)],7) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(0,2),(0,3),(1,4),(1,5),(1,6),(2,6),(3,4),(3,5)],7) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(0,4),(0,5),(0,6),(1,2),(1,3),(2,6),(3,4),(3,5),(3,6)],7) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(1,4),(1,6),(2,3),(2,5),(5,6)],7) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(0,5),(0,6),(1,3),(1,4),(4,5),(4,6),(6,2)],7) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,2)],7) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(0,3),(0,4),(2,5),(2,6),(3,5),(3,6),(4,2),(6,1)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,2),(2,1)],3) => 3

([(0,2),(0,3),(1,4),(1,5),(2,4),(2,5),(3,1),(4,6),(5,6)],7) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(0,5),(0,6),(1,3),(1,4),(3,5),(3,6),(4,2)],7) => ([(0,1),(0,2),(1,3),(2,3)],4) => ([],2) => 1

([(0,2),(0,3),(1,4),(1,5),(2,6),(3,4),(3,5),(3,6)],7) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(0,5),(0,6),(1,3),(1,4),(3,5),(3,6),(4,2),(4,6)],7) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(0,5),(0,6),(1,3),(1,4),(3,5),(3,6),(4,2),(4,5),(4,6)],7) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(0,5),(0,6),(1,2),(1,3),(3,6),(6,4)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,2),(2,1)],3) => 3

([(0,5),(0,6),(1,3),(1,4),(3,6),(4,6),(5,2)],7) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(0,4),(0,6),(1,3),(1,5),(3,6),(5,2)],7) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => ([(1,2)],3) => 1

([(0,4),(0,6),(1,2),(1,3),(2,6),(3,5),(6,5)],7) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(0,3),(0,5),(3,6),(4,2),(4,6),(5,1),(5,4)],7) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(0,4),(0,6),(1,3),(1,5),(3,6),(5,2),(5,6)],7) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => ([(0,2),(1,2)],3) => 2

([(0,5),(0,6),(1,3),(1,4),(3,5),(4,2),(4,6)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,2),(2,1)],3) => 3

([(0,5),(0,6),(1,3),(1,4),(3,6),(4,2),(4,5),(4,6)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,2),(2,1)],3) => 3

([(0,4),(0,6),(1,2),(1,3),(2,6),(3,5),(4,5)],7) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(0,4),(0,5),(1,2),(1,3),(2,6),(3,5),(4,6),(5,6)],7) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(1,4),(1,6),(2,3),(2,5),(3,6),(4,5)],7) => ([(0,3),(0,4),(1,5),(2,5),(3,6),(4,6),(6,1),(6,2)],7) => ([(0,2),(0,3),(1,2),(1,3)],4) => 2

([(0,4),(0,6),(1,3),(1,5),(3,6),(4,5),(6,2)],7) => ([(0,3),(0,4),(1,7),(2,6),(3,8),(4,8),(5,1),(5,6),(6,7),(8,2),(8,5)],9) => ([(0,3),(0,4),(1,3),(1,4),(4,2)],5) => 2

([(0,3),(0,6),(1,2),(1,5),(2,6),(3,5),(5,4),(6,4)],7) => ([(0,3),(0,4),(1,5),(2,5),(3,6),(4,6),(6,1),(6,2)],7) => ([(0,2),(0,3),(1,2),(1,3)],4) => 2

([(0,5),(0,6),(1,3),(1,4),(4,6),(5,2)],7) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => ([(0,1),(0,2)],3) => 2

([(0,4),(0,6),(1,2),(1,3),(3,6),(4,5),(6,5)],7) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(0,2),(0,5),(2,6),(3,1),(4,3),(4,6),(5,4)],7) => ([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6) => ([(0,3),(3,1),(3,2)],4) => 3

([(0,2),(0,4),(1,6),(2,5),(3,1),(3,5),(4,3),(5,6)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,2),(2,1)],3) => 3

([(0,3),(0,6),(1,2),(1,5),(2,6),(3,4),(3,5),(6,4)],7) => ([(0,4),(0,5),(1,6),(2,6),(4,7),(5,7),(6,3),(7,1),(7,2)],8) => ([(0,3),(0,4),(1,3),(1,4),(3,2),(4,2)],5) => 3

([(0,4),(0,6),(1,2),(1,3),(3,5),(3,6),(4,5)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,2),(2,1)],3) => 3

([(0,2),(0,4),(1,5),(2,5),(2,6),(3,1),(3,6),(4,3)],7) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,3),(2,1),(3,2)],4) => 4

([(0,4),(0,6),(1,2),(1,3),(2,5),(3,5),(3,6)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,2),(2,1)],3) => 3

([(0,4),(0,6),(1,2),(1,3),(2,5),(2,6),(3,5),(3,6)],7) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(0,4),(0,5),(1,2),(1,3),(2,6),(3,5),(3,6),(4,6)],7) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(2,5),(3,4),(3,6),(5,6)],7) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => ([(0,2),(1,2)],3) => 2

([(1,4),(2,3),(2,6),(4,6),(6,5)],7) => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6) => ([(0,3),(1,3),(3,2)],4) => 3

([(2,5),(2,6),(3,4),(4,5),(4,6)],7) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(1,5),(1,6),(2,4),(4,5),(4,6),(6,3)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,2),(2,1)],3) => 3

([(1,5),(1,6),(2,3),(3,5),(3,6),(5,4),(6,4)],7) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(0,5),(0,6),(1,2),(2,5),(2,6),(5,4),(6,3)],7) => ([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6) => ([(0,3),(3,1),(3,2)],4) => 3

([(0,3),(1,5),(1,6),(3,5),(3,6),(5,4),(6,2),(6,4)],7) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,3),(2,1),(3,2)],4) => 4

([(0,2),(1,5),(1,6),(2,5),(2,6),(5,3),(5,4),(6,3),(6,4)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,2),(2,1)],3) => 3

([(1,6),(2,4),(2,5),(6,3)],7) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(1,3),(1,6),(4,5),(5,2),(6,4)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,2),(2,1)],3) => 3

([(0,5),(0,6),(3,4),(4,2),(5,3),(6,1)],7) => ([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8) => ([(1,2),(2,3)],4) => 1

([(0,2),(0,5),(2,6),(3,4),(4,1),(5,3),(5,6)],7) => ([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7) => ([(0,2),(0,3),(3,1)],4) => 2

([(0,2),(0,4),(1,6),(2,5),(3,1),(4,3),(4,5),(5,6)],7) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => ([(0,1),(0,2)],3) => 2

([(0,4),(0,5),(2,6),(3,2),(4,3),(5,1),(5,6)],7) => ([(0,3),(0,4),(2,6),(3,5),(4,2),(4,5),(5,6),(6,1)],7) => ([(0,3),(1,2),(2,3)],4) => 2

([(0,2),(0,4),(1,5),(2,5),(2,6),(3,1),(4,3),(4,6)],7) => ([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6) => ([(0,1),(0,2),(1,3),(2,3)],4) => 3

([(1,5),(1,6),(2,3),(3,4),(3,6),(4,5)],7) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,3),(2,1),(3,2)],4) => 4

([(0,5),(0,6),(1,4),(3,5),(4,3),(4,6),(6,2)],7) => ([(0,4),(1,6),(2,6),(3,5),(4,3),(5,1),(5,2)],7) => ([(0,3),(3,4),(4,1),(4,2)],5) => 4

([(0,3),(1,5),(1,6),(2,6),(3,2),(3,5),(5,4),(6,4)],7) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,3),(2,1),(3,2)],4) => 4

([(0,5),(0,6),(1,4),(3,6),(4,3),(4,5),(6,2)],7) => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => ([(0,4),(2,3),(3,1),(4,2)],5) => 5

([(1,4),(2,3),(2,6),(4,5),(5,6)],7) => ([(0,3),(0,4),(2,6),(3,5),(4,2),(4,5),(5,6),(6,1)],7) => ([(0,3),(1,2),(2,3)],4) => 2

([(0,5),(1,4),(1,6),(2,6),(5,2),(6,3)],7) => ([(0,3),(0,5),(1,7),(3,6),(4,2),(5,1),(5,6),(6,7),(7,4)],8) => ([(0,4),(1,2),(2,4),(4,3)],5) => 3

([(1,5),(3,6),(4,2),(4,6),(5,3),(5,4)],7) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(0,5),(2,6),(4,1),(4,6),(5,2),(5,4),(6,3)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,2),(2,1)],3) => 3

([(0,4),(1,5),(1,6),(3,6),(4,3),(5,2)],7) => ([(0,4),(0,5),(1,10),(2,7),(3,8),(4,3),(4,6),(5,1),(5,6),(6,8),(6,10),(8,9),(9,7),(10,2),(10,9)],11) => ([(0,3),(1,2),(1,4),(3,4)],5) => 1

([(0,3),(0,6),(1,4),(2,6),(3,5),(4,2),(6,5)],7) => ([(0,3),(0,4),(2,6),(3,5),(4,2),(4,5),(5,6),(6,1)],7) => ([(0,3),(1,2),(2,3)],4) => 2

([(0,5),(2,6),(3,1),(4,3),(4,6),(5,2),(5,4)],7) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => ([(0,1),(0,2)],3) => 2

([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(0,3),(0,6),(1,4),(2,6),(3,5),(4,2),(4,5)],7) => ([(0,4),(0,5),(1,8),(2,6),(3,6),(4,7),(5,1),(5,7),(7,8),(8,2),(8,3)],9) => ([(0,3),(0,4),(1,2),(2,3),(2,4)],5) => 2

([(1,5),(1,6),(2,3),(3,4),(4,5),(4,6)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,2),(2,1)],3) => 3

([(0,5),(0,6),(1,4),(3,5),(3,6),(4,3),(6,2)],7) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,3),(2,1),(3,2)],4) => 4

([(0,2),(1,5),(1,6),(2,3),(3,5),(3,6),(5,4),(6,4)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,2),(2,1)],3) => 3

([(0,4),(2,5),(2,6),(3,5),(3,6),(4,2),(4,3),(6,1)],7) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(1,6),(2,3),(3,6),(6,4),(6,5)],7) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(2,4),(3,5),(5,6)],7) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => ([(1,2)],3) => 1

([(2,6),(3,4),(4,5),(4,6)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,2),(2,1)],3) => 3

([(1,6),(2,3),(3,5),(3,6),(6,4)],7) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,3),(2,1),(3,2)],4) => 4

([(1,3),(2,6),(3,5),(3,6),(5,4)],7) => ([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6) => ([(0,3),(3,1),(3,2)],4) => 3

([(1,6),(2,3),(3,4),(3,6),(4,5),(6,5)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,2),(2,1)],3) => 3

([(0,5),(1,4),(3,6),(4,3),(4,5),(5,6),(6,2)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,2),(2,1)],3) => 3

([(0,6),(1,5),(4,2),(5,4),(5,6),(6,3)],7) => ([(0,4),(1,7),(2,6),(3,1),(3,6),(4,5),(5,2),(5,3),(6,7)],8) => ([(0,4),(3,2),(4,1),(4,3)],5) => 3

([(0,6),(1,4),(3,5),(4,3),(4,6),(6,2),(6,5)],7) => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => ([(0,4),(2,3),(3,1),(4,2)],5) => 5

([(0,6),(1,3),(3,4),(3,6),(4,2),(4,5),(6,5)],7) => ([(0,4),(1,6),(2,6),(4,5),(5,1),(5,2),(6,3)],7) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => 4

([(0,2),(1,6),(2,3),(2,6),(3,4),(3,5),(6,4),(6,5)],7) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,3),(2,1),(3,2)],4) => 4

([(0,6),(1,5),(5,2),(5,3),(5,6),(6,4)],7) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(2,6),(4,5),(5,3),(6,4)],7) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,3),(2,1),(3,2)],4) => 4

([(2,5),(3,4),(4,6),(5,6)],7) => ([(0,1),(0,2),(1,3),(2,3)],4) => ([],2) => 1

([(1,4),(2,3),(3,6),(4,6),(6,5)],7) => ([(0,1),(0,2),(1,3),(2,3)],4) => ([],2) => 1

([(0,5),(1,4),(4,6),(5,6),(6,2),(6,3)],7) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => ([(0,2),(1,2)],3) => 2

([(1,6),(2,5),(5,3),(6,4)],7) => ([(0,3),(0,4),(1,7),(2,6),(3,2),(3,5),(4,1),(4,5),(5,6),(5,7),(6,8),(7,8)],9) => ([(0,3),(1,2)],4) => 1

([(1,6),(4,5),(5,3),(6,2),(6,4)],7) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(1,3),(2,4),(3,6),(4,5),(4,6)],7) => ([(0,3),(0,4),(2,6),(3,5),(4,2),(4,5),(5,6),(6,1)],7) => ([(0,3),(1,2),(2,3)],4) => 2

([(1,4),(2,3),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => ([(0,2),(1,2)],3) => 2

([(0,4),(1,3),(3,5),(3,6),(4,5),(4,6),(6,2)],7) => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6) => ([(0,3),(1,3),(3,2)],4) => 3

([(0,3),(1,2),(2,5),(2,6),(3,5),(3,6),(5,4),(6,4)],7) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => ([(0,2),(1,2)],3) => 2

([(0,4),(1,5),(4,6),(5,2),(5,6),(6,3)],7) => ([(0,3),(0,5),(1,7),(3,6),(4,2),(5,1),(5,6),(6,7),(7,4)],8) => ([(0,4),(1,2),(2,4),(4,3)],5) => 3

([(0,6),(1,5),(5,4),(6,2),(6,3)],7) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(0,6),(4,5),(5,3),(6,1),(6,2),(6,4)],7) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(0,4),(1,5),(4,6),(5,2),(5,3),(5,6)],7) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(1,3),(2,4),(3,5),(4,6),(5,6)],7) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => ([(1,2)],3) => 1

([(0,4),(1,5),(2,6),(4,6),(5,2),(6,3)],7) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => ([(1,2)],3) => 1

([(2,6),(3,4),(4,5),(5,6)],7) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(1,6),(2,3),(3,5),(5,6),(6,4)],7) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(0,6),(1,5),(2,6),(5,2),(6,3),(6,4)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,2),(2,1)],3) => 3

([(1,6),(2,5),(3,4)],7) => ([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(4,7),(5,7),(6,7)],8) => ([],3) => 1

([(1,6),(2,5),(3,4),(3,6)],7) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => ([(1,2)],3) => 1

([(1,6),(2,5),(3,4),(3,5),(3,6)],7) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => ([(0,1),(0,2)],3) => 2

([(0,6),(1,5),(2,3),(2,5),(2,6),(3,4)],7) => ([(0,4),(1,6),(1,7),(2,5),(2,7),(3,5),(3,6),(4,1),(4,2),(4,3),(5,8),(6,8),(7,8)],9) => ([(0,1),(0,2),(0,3)],4) => 2

([(0,4),(1,5),(2,3),(2,4),(2,5),(3,6),(5,6)],7) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => ([(0,1),(0,2)],3) => 2

([(0,5),(1,4),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => ([(0,1),(0,2)],3) => 2

([(0,6),(1,5),(2,4),(2,5),(2,6),(6,3)],7) => ([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7) => ([(0,2),(0,3),(3,1)],4) => 2

([(0,5),(1,4),(2,3),(2,4),(2,5),(4,6),(5,6)],7) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => ([(0,1),(0,2)],3) => 2

([(1,6),(2,5),(3,4),(3,5),(4,6)],7) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(1,5),(2,3),(2,5),(3,6),(4,6),(5,4)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,2),(2,1)],3) => 3

([(1,6),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(0,6),(1,5),(2,3),(2,5),(3,6),(5,6),(6,4)],7) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(0,6),(1,5),(2,3),(2,5),(3,6),(5,4)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,2),(2,1)],3) => 3

([(0,6),(1,5),(2,3),(2,5),(3,6),(5,4),(5,6)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,2),(2,1)],3) => 3

([(0,6),(1,4),(2,3),(2,4),(3,6),(4,5),(6,5)],7) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(0,6),(1,5),(2,3),(2,5),(3,6),(6,4)],7) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(0,6),(1,3),(1,6),(2,5),(3,5),(5,4),(6,2)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,2),(2,1)],3) => 3

([(0,6),(1,3),(2,4),(2,6),(4,5)],7) => ([(0,3),(0,4),(1,6),(1,8),(2,6),(2,7),(3,5),(4,1),(4,2),(4,5),(5,7),(5,8),(6,9),(7,9),(8,9)],10) => ([(1,2),(1,3)],4) => 1

([(0,6),(1,5),(1,6),(4,3),(5,2),(5,4)],7) => ([(0,1),(0,2),(1,3),(2,3)],4) => ([],2) => 1

([(0,6),(1,4),(1,6),(3,2),(4,3),(4,5),(6,5)],7) => ([(0,5),(1,7),(2,8),(3,6),(4,3),(4,8),(5,2),(5,4),(6,7),(8,1),(8,6)],9) => ([(0,2),(0,3),(2,4),(3,1),(3,4)],5) => 2

([(0,6),(1,3),(1,6),(3,4),(3,5),(5,2),(6,4),(6,5)],7) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,3),(2,1),(3,2)],4) => 4

([(0,6),(1,3),(1,6),(2,5),(3,2),(3,4),(6,4),(6,5)],7) => ([(0,5),(2,6),(3,6),(4,1),(5,2),(5,3),(6,4)],7) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => 4

([(0,6),(1,5),(2,3),(2,5),(3,4),(3,6)],7) => ([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7) => ([(0,2),(0,3),(3,1)],4) => 2

([(0,6),(1,4),(1,6),(3,5),(4,2),(4,5),(6,3)],7) => ([(0,5),(2,7),(3,6),(4,2),(4,6),(5,3),(5,4),(6,7),(7,1)],8) => ([(0,2),(0,3),(1,4),(2,4),(3,1)],5) => 3

([(0,6),(1,3),(1,6),(2,5),(3,4),(3,5),(6,2),(6,4)],7) => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => ([(0,4),(2,3),(3,1),(4,2)],5) => 5

([(0,6),(1,5),(2,3),(2,5),(3,4),(3,6),(5,6)],7) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => ([(0,1),(0,2)],3) => 2

([(0,4),(1,5),(2,3),(2,4),(3,5),(3,6),(4,6)],7) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(0,6),(1,4),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(0,6),(1,4),(1,6),(4,3),(5,2),(6,5)],7) => ([(0,5),(1,6),(2,7),(3,4),(3,6),(4,2),(4,8),(5,1),(5,3),(6,8),(8,7)],9) => ([(0,2),(0,4),(3,1),(4,3)],5) => 2

([(0,6),(1,3),(1,6),(3,5),(4,2),(6,4),(6,5)],7) => ([(0,4),(1,6),(2,6),(3,5),(4,3),(5,1),(5,2)],7) => ([(0,3),(3,4),(4,1),(4,2)],5) => 4

([(0,6),(1,5),(2,3),(2,5),(3,4),(5,6)],7) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => ([(0,1),(0,2)],3) => 2

([(0,5),(1,4),(2,3),(2,4),(3,6),(4,5),(4,6)],7) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(0,5),(1,4),(2,3),(2,4),(3,6),(4,5),(5,6)],7) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(0,5),(1,3),(2,4),(2,5),(4,6),(5,6)],7) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => ([(1,2)],3) => 1

([(0,4),(1,5),(2,3),(2,4),(3,6),(4,6),(6,5)],7) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(0,6),(1,4),(2,3),(2,6),(3,5),(4,6)],7) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => ([(1,2)],3) => 1

([(0,6),(1,3),(2,4),(2,6),(3,6),(4,5),(6,5)],7) => ([(0,1),(0,2),(1,3),(2,3)],4) => ([],2) => 1

([(0,5),(1,6),(2,3),(2,5),(3,4),(4,6)],7) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => ([(0,1),(0,2)],3) => 2

([(0,6),(1,3),(1,6),(2,4),(3,2),(3,5),(5,4),(6,5)],7) => ([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6) => ([(0,1),(0,2),(1,3),(2,3)],4) => 3

([(0,6),(1,2),(1,6),(2,4),(2,5),(4,3),(5,3),(6,4),(6,5)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,2),(2,1)],3) => 3

([(0,6),(1,4),(1,6),(2,5),(3,5),(4,3),(6,2)],7) => ([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7) => ([(0,2),(0,3),(3,1)],4) => 2

([(0,6),(1,3),(1,6),(2,4),(3,5),(5,4),(6,2),(6,5)],7) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,3),(2,1),(3,2)],4) => 4

([(0,6),(1,5),(2,3),(2,5),(3,4),(4,6),(5,6)],7) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => ([(0,1),(0,2)],3) => 2

([(1,6),(2,3),(2,6),(4,5),(6,4)],7) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,3),(2,1),(3,2)],4) => 4

([(1,6),(2,5),(3,4),(3,5),(5,6)],7) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(0,6),(1,5),(2,4),(2,5),(5,6),(6,3)],7) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(0,6),(1,3),(2,4),(2,6),(6,5)],7) => ([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8) => ([(1,2),(2,3)],4) => 1

([(0,6),(1,5),(2,4),(2,6),(6,3),(6,5)],7) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,3),(2,1),(3,2)],4) => 4

([(1,5),(2,5),(2,6),(3,4),(3,6)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,2),(2,1)],3) => 3

([(0,5),(1,5),(1,6),(2,4),(2,6),(6,3)],7) => ([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6) => ([(0,3),(3,1),(3,2)],4) => 3

([(0,5),(0,6),(1,4),(1,6),(2,4),(2,5),(2,6),(5,3)],7) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(6,3)],7) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(4,3)],7) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(6,3)],7) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(0,5),(0,6),(1,4),(1,6),(2,4),(2,5),(2,6),(6,3)],7) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(0,5),(0,6),(1,4),(1,6),(2,4),(2,5),(6,3)],7) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(0,6),(1,5),(1,6),(2,4),(2,5),(6,3)],7) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,3),(2,1),(3,2)],4) => 4

([(0,4),(1,4),(1,5),(2,3),(2,5),(4,6),(5,6)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,2),(2,1)],3) => 3

([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,2),(2,1)],3) => 3

([(0,6),(1,5),(1,6),(2,3),(2,5),(2,6),(5,4)],7) => ([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6) => ([(0,3),(3,1),(3,2)],4) => 3

([(0,6),(1,4),(1,6),(2,3),(2,4),(2,6),(4,5),(6,5)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,2),(2,1)],3) => 3

([(0,6),(1,5),(1,6),(2,3),(2,5),(2,6),(6,4)],7) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,3),(2,1),(3,2)],4) => 4

([(0,6),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4)],7) => ([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7) => ([(0,2),(0,3),(3,1)],4) => 2

([(0,6),(1,4),(1,6),(2,3),(2,4),(2,6),(3,5),(4,5)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,2),(2,1)],3) => 3

([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,2),(2,1)],3) => 3

([(0,6),(1,4),(1,6),(2,3),(2,4),(2,6),(3,5),(6,5)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,2),(2,1)],3) => 3

([(1,6),(2,5),(2,6),(3,4),(3,5),(4,6)],7) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(0,6),(1,5),(1,6),(2,3),(2,5),(3,6),(5,4)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,2),(2,1)],3) => 3

([(0,6),(1,4),(1,6),(2,3),(2,4),(3,6),(4,5),(6,5)],7) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(0,6),(1,5),(1,6),(2,3),(2,5),(3,6),(6,4)],7) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(0,5),(1,5),(1,6),(2,3),(2,6),(3,4)],7) => ([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7) => ([(0,2),(0,3),(3,1)],4) => 2

([(0,4),(1,4),(1,5),(2,3),(2,5),(3,6),(5,6)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,2),(2,1)],3) => 3

([(0,5),(1,4),(1,5),(2,3),(2,4),(3,6),(5,6)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,2),(2,1)],3) => 3

([(0,4),(1,4),(1,5),(2,3),(2,5),(3,6),(4,6),(5,6)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,2),(2,1)],3) => 3

([(0,5),(0,6),(1,4),(1,6),(3,5),(4,2),(4,3)],7) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(0,3),(0,6),(1,5),(1,6),(2,5),(3,2),(3,4),(6,4)],7) => ([(0,5),(1,7),(2,7),(3,6),(4,6),(5,1),(5,2),(7,3),(7,4)],8) => ([(0,1),(0,2),(1,3),(1,4),(2,3),(2,4)],5) => 3

([(0,6),(1,5),(1,6),(2,3),(2,5),(3,4),(3,6)],7) => ([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6) => ([(0,1),(0,2),(1,3),(2,3)],4) => 3

([(0,6),(1,4),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5)],7) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(0,6),(1,5),(1,6),(2,3),(2,5),(3,4),(4,6)],7) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => ([(0,1),(0,2)],3) => 2

([(1,6),(2,5),(2,6),(3,4),(3,6)],7) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => ([(0,2),(1,2)],3) => 2

([(0,6),(1,3),(1,6),(2,4),(2,6),(4,5)],7) => ([(0,3),(0,4),(1,6),(2,5),(3,7),(4,2),(4,7),(5,6),(7,1),(7,5)],8) => ([(0,3),(1,2),(1,3)],4) => 1

([(0,6),(1,5),(1,6),(2,3),(2,6),(3,4),(3,5)],7) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,3),(2,1),(3,2)],4) => 4

([(0,6),(1,3),(1,6),(2,4),(2,6),(4,5),(6,5)],7) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => ([(0,2),(1,2)],3) => 2

([(0,6),(1,4),(1,6),(2,3),(2,6),(3,5),(4,5)],7) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => ([(0,2),(1,2)],3) => 2

([(0,5),(1,4),(1,5),(2,3),(2,5),(3,6),(4,6),(5,6)],7) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => ([(0,2),(1,2)],3) => 2

([(0,6),(1,5),(1,6),(2,3),(2,6),(3,4),(4,5)],7) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(0,6),(1,4),(1,6),(2,3),(2,6),(6,5)],7) => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6) => ([(0,3),(1,3),(3,2)],4) => 3

([(0,6),(1,5),(1,6),(2,3),(2,4)],7) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(0,5),(1,3),(1,6),(2,4),(2,5),(4,6)],7) => ([(0,3),(0,4),(1,6),(2,5),(3,7),(4,2),(4,7),(5,6),(7,1),(7,5)],8) => ([(0,3),(1,2),(1,3)],4) => 1

([(0,4),(1,5),(1,6),(2,3),(2,4),(3,5),(3,6)],7) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => ([(0,1),(0,2)],3) => 2

([(0,6),(1,3),(1,6),(2,4),(2,5),(3,4),(3,5),(6,2)],7) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,3),(2,1),(3,2)],4) => 4

([(0,5),(0,6),(1,4),(2,3),(2,4),(3,5),(3,6),(4,6)],7) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(0,5),(0,6),(1,4),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(0,6),(1,3),(1,6),(3,5),(4,2),(4,5),(6,4)],7) => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => ([(0,4),(2,3),(3,1),(4,2)],5) => 5

([(0,5),(1,3),(1,6),(2,4),(2,5),(4,6),(5,6)],7) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => ([(1,2)],3) => 1

([(0,5),(0,6),(1,4),(2,3),(2,4),(3,6),(4,5)],7) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(0,5),(0,6),(1,4),(2,3),(2,4),(3,6),(4,5),(4,6)],7) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(0,3),(0,5),(1,4),(1,6),(2,5),(3,6),(4,2)],7) => ([(0,4),(0,5),(1,7),(2,9),(3,6),(4,8),(5,2),(5,8),(6,7),(8,3),(8,9),(9,1),(9,6)],10) => ([(0,3),(0,4),(1,2),(1,3),(2,4)],5) => 1

([(0,5),(1,3),(1,6),(2,4),(2,5),(5,6)],7) => ([(0,3),(0,4),(2,6),(3,5),(4,2),(4,5),(5,6),(6,1)],7) => ([(0,3),(1,2),(2,3)],4) => 2

([(0,4),(1,5),(1,6),(2,3),(2,4),(4,5),(4,6)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,2),(2,1)],3) => 3

([(0,5),(1,5),(1,6),(2,3),(2,4),(2,6)],7) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(0,4),(1,4),(1,5),(2,3),(2,5),(2,6),(4,6)],7) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,3),(2,1),(3,2)],4) => 4

([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(0,5),(0,6),(1,2),(1,4),(1,6),(3,5),(4,3)],7) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => ([(0,2),(1,2)],3) => 2

([(0,5),(0,6),(1,3),(1,4),(1,5),(2,6),(3,6),(4,2)],7) => ([(0,1),(0,2),(1,3),(2,3)],4) => ([],2) => 1

([(0,6),(1,5),(1,6),(2,3),(2,4),(2,6)],7) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(0,6),(1,4),(1,6),(2,3),(2,5),(2,6),(4,5)],7) => ([(0,3),(0,4),(1,5),(2,5),(3,6),(4,6),(6,1),(6,2)],7) => ([(0,2),(0,3),(1,2),(1,3)],4) => 2

([(0,6),(1,4),(1,5),(1,6),(2,3),(2,6),(3,4),(3,5)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,2),(2,1)],3) => 3

([(0,4),(0,6),(1,2),(1,5),(3,6),(5,3)],7) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => ([(0,2),(1,2)],3) => 2

([(0,3),(0,5),(2,6),(4,1),(4,6),(5,2),(5,4)],7) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(0,5),(0,6),(1,2),(1,4),(3,5),(4,3),(4,6)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,2),(2,1)],3) => 3

([(0,4),(0,5),(2,6),(3,1),(3,6),(4,2),(5,3)],7) => ([(0,3),(0,4),(2,6),(3,5),(4,2),(4,5),(5,6),(6,1)],7) => ([(0,3),(1,2),(2,3)],4) => 2

([(0,3),(0,4),(1,5),(2,5),(2,6),(3,2),(4,1),(4,6)],7) => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6) => ([(0,3),(1,3),(3,2)],4) => 3

([(0,6),(1,4),(1,6),(2,3),(2,5),(3,6),(4,5)],7) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => ([(0,2),(1,2)],3) => 2

([(0,4),(0,6),(1,3),(1,5),(2,6),(3,6),(5,2)],7) => ([(0,1),(0,2),(1,3),(2,3)],4) => ([],2) => 1

([(0,5),(0,6),(1,3),(1,4),(2,6),(3,6),(4,2),(4,5)],7) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(1,6),(2,5),(3,4),(3,6),(5,6)],7) => ([(0,1),(0,2),(1,3),(2,3)],4) => ([],2) => 1

([(0,6),(1,4),(2,3),(2,6),(4,6),(6,5)],7) => ([(0,1),(0,2),(1,3),(2,3)],4) => ([],2) => 1

([(0,6),(1,4),(2,3),(2,6),(4,5)],7) => ([(0,3),(0,4),(1,7),(2,6),(3,2),(3,5),(4,1),(4,5),(5,6),(5,7),(6,8),(7,8)],9) => ([(0,3),(1,2)],4) => 1

([(0,6),(1,5),(1,6),(3,4),(4,2),(5,3)],7) => ([(0,5),(1,6),(2,7),(3,4),(3,6),(4,2),(4,8),(5,1),(5,3),(6,8),(8,7)],9) => ([(0,2),(0,4),(3,1),(4,3)],5) => 2

([(0,6),(1,3),(1,6),(3,5),(4,2),(5,4),(6,5)],7) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(0,6),(1,4),(1,6),(2,5),(3,2),(4,3),(6,5)],7) => ([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7) => ([(0,2),(0,3),(3,1)],4) => 2

([(0,5),(1,3),(2,4),(2,5),(3,6),(4,6)],7) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => ([(1,2)],3) => 1

([(0,6),(1,3),(1,6),(2,5),(3,5),(4,2),(6,4)],7) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,3),(2,1),(3,2)],4) => 4

([(0,5),(1,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => ([(1,2)],3) => 1

([(0,6),(1,4),(2,3),(2,6),(3,5),(4,5),(4,6)],7) => ([(0,1),(0,2),(1,3),(2,3)],4) => ([],2) => 1

([(0,6),(1,3),(1,6),(4,2),(5,4),(6,5)],7) => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => ([(0,4),(2,3),(3,1),(4,2)],5) => 5

([(0,5),(1,4),(2,3),(2,5),(4,6),(5,6)],7) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => ([(1,2)],3) => 1

([(0,6),(1,5),(4,3),(4,6),(5,2),(5,4)],7) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(0,5),(1,5),(1,6),(2,3),(3,4),(3,6)],7) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,3),(2,1),(3,2)],4) => 4

([(0,6),(1,5),(1,6),(2,3),(3,4),(3,5),(3,6)],7) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,3),(2,1),(3,2)],4) => 4

([(0,6),(1,5),(1,6),(2,3),(3,4),(3,5),(4,6)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,2),(2,1)],3) => 3

([(0,5),(1,4),(1,6),(3,6),(5,2),(5,3)],7) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(0,5),(3,6),(4,2),(4,6),(5,1),(5,3),(5,4)],7) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(0,5),(0,6),(1,4),(3,5),(4,2),(4,3),(4,6)],7) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(0,6),(1,4),(2,3),(2,6),(4,5),(4,6)],7) => ([(0,3),(0,4),(2,6),(3,5),(4,2),(4,5),(5,6),(6,1)],7) => ([(0,3),(1,2),(2,3)],4) => 2

([(0,6),(1,5),(1,6),(2,3),(3,4),(3,6),(4,5)],7) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(0,5),(1,5),(1,6),(2,3),(3,4),(4,6)],7) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(0,6),(1,5),(1,6),(2,3),(3,4),(4,5),(4,6)],7) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(0,6),(1,4),(2,3),(2,6),(4,5),(5,6)],7) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => ([(1,2)],3) => 1

([(0,6),(1,5),(2,3),(2,4)],7) => ([(0,1),(0,2),(1,3),(2,3)],4) => ([],2) => 1

([(0,6),(1,5),(2,3),(2,4),(2,6)],7) => ([(0,1),(0,2),(1,3),(2,3)],4) => ([],2) => 1

([(0,6),(1,5),(2,3),(2,4),(2,5),(2,6)],7) => ([(0,1),(0,2),(1,3),(2,3)],4) => ([],2) => 1

([(0,6),(1,3),(1,5),(1,6),(4,2),(5,4)],7) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => ([(1,2)],3) => 1

([(0,6),(1,2),(1,4),(1,6),(3,5),(4,3),(6,5)],7) => ([(0,1),(0,2),(1,3),(2,3)],4) => ([],2) => 1

([(0,6),(1,2),(1,4),(1,6),(3,5),(4,5),(6,3)],7) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(0,6),(1,3),(1,4),(1,6),(2,5),(3,5),(4,2)],7) => ([(0,1),(0,2),(1,3),(2,3)],4) => ([],2) => 1

([(0,5),(1,3),(1,4),(1,5),(2,6),(3,6),(4,2),(5,6)],7) => ([(0,1),(0,2),(1,3),(2,3)],4) => ([],2) => 1

([(0,5),(1,2),(1,3),(1,5),(2,6),(3,6),(4,6),(5,4)],7) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(0,6),(1,3),(1,4),(1,6),(5,2),(6,5)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,2),(2,1)],3) => 3

([(0,5),(1,4),(2,3),(2,5),(2,6),(4,6)],7) => ([(0,3),(0,4),(1,6),(2,5),(3,7),(4,2),(4,7),(5,6),(7,1),(7,5)],8) => ([(0,3),(1,2),(1,3)],4) => 1

([(0,6),(1,4),(2,3),(2,5),(2,6),(4,5),(4,6)],7) => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6) => ([(0,3),(1,3),(3,2)],4) => 3

([(0,4),(1,4),(1,5),(1,6),(2,3),(3,5),(3,6)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,2),(2,1)],3) => 3

([(0,6),(1,4),(1,5),(1,6),(2,3),(3,4),(3,5),(3,6)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,2),(2,1)],3) => 3

([(0,5),(1,2),(1,3),(1,6),(4,6),(5,4)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,2),(2,1)],3) => 3

([(0,4),(1,3),(1,6),(5,2),(6,5)],7) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => ([(1,2)],3) => 1

([(0,3),(0,6),(4,2),(5,1),(6,4),(6,5)],7) => ([(0,1),(0,2),(1,3),(2,3)],4) => ([],2) => 1

([(0,6),(1,3),(1,5),(4,2),(5,4),(5,6)],7) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => ([(0,1),(0,2)],3) => 2

([(0,6),(1,2),(1,4),(3,5),(4,3),(4,6),(6,5)],7) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(0,6),(1,3),(1,4),(4,5),(5,2),(5,6)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,2),(2,1)],3) => 3

([(0,5),(0,6),(3,2),(4,1),(5,3),(6,4)],7) => ([(0,3),(0,4),(1,7),(2,6),(3,2),(3,5),(4,1),(4,5),(5,6),(5,7),(6,8),(7,8)],9) => ([(0,3),(1,2)],4) => 1

([(0,4),(0,5),(2,6),(3,1),(4,2),(5,3),(5,6)],7) => ([(0,3),(0,4),(1,6),(2,5),(3,7),(4,2),(4,7),(5,6),(7,1),(7,5)],8) => ([(0,3),(1,2),(1,3)],4) => 1

([(0,3),(0,4),(1,6),(2,5),(3,2),(4,1),(4,5),(5,6)],7) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => ([(0,2),(1,2)],3) => 2

([(0,3),(0,4),(1,6),(2,5),(3,2),(3,6),(4,1),(4,5)],7) => ([(0,3),(0,4),(1,5),(2,5),(3,6),(4,6),(6,1),(6,2)],7) => ([(0,2),(0,3),(1,2),(1,3)],4) => 2

([(0,5),(1,2),(1,4),(3,6),(4,6),(5,3)],7) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(0,2),(0,5),(1,6),(2,6),(3,4),(4,1),(5,3)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,2),(2,1)],3) => 3

([(0,4),(1,3),(1,5),(2,6),(3,6),(4,6),(5,2)],7) => ([(0,1),(0,2),(1,3),(2,3)],4) => ([],2) => 1

([(0,6),(1,3),(1,5),(2,6),(3,6),(4,2),(5,4)],7) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(0,4),(1,3),(1,5),(2,6),(3,6),(5,2)],7) => ([(0,1),(0,2),(1,3),(2,3)],4) => ([],2) => 1

([(0,6),(1,3),(1,4),(2,5),(3,5),(4,2),(4,6)],7) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(0,5),(1,3),(1,4),(2,6),(3,6),(4,2),(4,5),(5,6)],7) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(0,5),(1,3),(1,4),(2,6),(3,6),(4,6),(5,2)],7) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(0,6),(1,3),(1,5),(3,6),(4,2),(5,4)],7) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(0,6),(1,3),(1,4),(3,6),(4,5),(5,2),(5,6)],7) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(0,6),(1,3),(1,5),(3,6),(4,2),(5,4),(5,6)],7) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(0,5),(0,6),(1,3),(1,5),(1,6),(4,2),(6,4)],7) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(0,3),(0,4),(1,5),(1,6),(2,4),(2,5),(2,6),(6,3)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,2),(2,1)],3) => 3

([(0,3),(0,6),(1,4),(1,5),(2,3),(2,4),(2,5),(4,6),(5,6)],7) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(0,4),(0,6),(1,3),(1,5),(1,6),(2,3),(2,4),(2,6),(4,5)],7) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(3,6)],7) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,3),(2,1),(3,2)],4) => 4

([(0,4),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(3,6)],7) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,3),(2,1),(3,2)],4) => 4

([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(3,5),(3,6)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,2),(2,1)],3) => 3

([(0,5),(0,6),(1,4),(2,3),(2,5),(2,6),(4,6)],7) => ([(0,3),(0,4),(2,6),(3,5),(4,2),(4,5),(5,6),(6,1)],7) => ([(0,3),(1,2),(2,3)],4) => 2

([(0,5),(0,6),(1,4),(2,3),(2,5),(2,6),(4,5),(4,6)],7) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => ([(0,2),(1,2)],3) => 2

([(0,4),(0,5),(1,4),(1,5),(1,6),(2,3),(3,6)],7) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => ([(0,2),(1,2)],3) => 2

([(0,4),(0,6),(1,4),(1,5),(1,6),(2,3),(3,5),(3,6)],7) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(3,4),(3,5),(3,6)],7) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(0,5),(0,6),(1,4),(1,5),(1,6),(3,2),(4,3)],7) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,6),(3,5)],7) => ([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6) => ([(0,3),(3,1),(3,2)],4) => 3

([(0,6),(1,3),(1,4),(1,5),(2,4),(2,5),(2,6),(6,3)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,2),(2,1)],3) => 3

([(0,4),(0,6),(1,3),(1,5),(1,6),(2,5),(4,2)],7) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(0,4),(1,4),(1,5),(1,6),(2,3),(2,5),(3,6)],7) => ([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6) => ([(0,3),(3,1),(3,2)],4) => 3

([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(3,5),(3,6)],7) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,3),(2,1),(3,2)],4) => 4

([(0,5),(1,4),(1,6),(2,3),(2,4),(2,5),(5,6)],7) => ([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6) => ([(0,1),(0,2),(1,3),(2,3)],4) => 3

([(0,4),(1,5),(1,6),(2,3),(2,4),(2,5),(3,6)],7) => ([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7) => ([(0,2),(0,3),(3,1)],4) => 2

([(0,5),(1,4),(1,6),(2,3),(2,4),(2,5),(3,6),(5,6)],7) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => ([(0,1),(0,2)],3) => 2

([(0,4),(0,6),(1,3),(1,6),(5,2),(6,5)],7) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(0,5),(0,6),(1,3),(1,6),(4,2),(5,4)],7) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(0,3),(0,6),(1,4),(1,6),(3,4),(3,5),(5,2),(6,5)],7) => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => ([(0,4),(2,3),(3,1),(4,2)],5) => 5

([(0,2),(0,6),(1,5),(1,6),(2,4),(2,5),(4,3),(5,3),(6,4)],7) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,3),(2,1),(3,2)],4) => 4

([(0,2),(0,6),(1,5),(1,6),(2,3),(3,4),(3,5),(6,4)],7) => ([(0,5),(2,6),(3,6),(4,1),(5,2),(5,3),(6,4)],7) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => 4

([(0,5),(1,4),(1,6),(2,3),(2,4),(3,5),(3,6)],7) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,3),(2,1),(3,2)],4) => 4

([(0,3),(0,6),(1,4),(1,6),(2,5),(3,4),(3,5),(6,2)],7) => ([(0,4),(1,6),(2,6),(4,5),(5,1),(5,2),(6,3)],7) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => 4

([(0,6),(1,4),(1,5),(2,3),(2,4),(3,5),(3,6),(4,6)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,2),(2,1)],3) => 3

([(0,6),(1,4),(1,5),(2,3),(2,4),(3,6),(6,5)],7) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(0,5),(0,6),(1,3),(2,4),(2,5),(4,6)],7) => ([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8) => ([(1,2),(2,3)],4) => 1

([(0,5),(0,6),(1,3),(1,6),(3,5),(4,2),(6,4)],7) => ([(0,4),(1,7),(2,6),(3,1),(3,6),(4,5),(5,2),(5,3),(6,7)],8) => ([(0,4),(3,2),(4,1),(4,3)],5) => 3

([(0,3),(0,5),(1,5),(1,6),(2,4),(3,6),(5,2),(6,4)],7) => ([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6) => ([(0,3),(3,1),(3,2)],4) => 3

([(0,5),(1,4),(1,6),(2,3),(2,4),(3,6),(4,5)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,2),(2,1)],3) => 3

([(0,6),(1,4),(1,5),(2,3),(2,4),(3,5),(4,6),(5,6)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,2),(2,1)],3) => 3

([(0,3),(0,6),(1,4),(2,5),(2,6),(3,5),(4,2)],7) => ([(0,3),(0,5),(1,7),(3,6),(4,2),(5,1),(5,6),(6,7),(7,4)],8) => ([(0,4),(1,2),(2,4),(4,3)],5) => 3

([(0,4),(1,5),(2,5),(2,6),(3,1),(3,6),(4,2),(4,3)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,2),(2,1)],3) => 3

([(0,5),(0,6),(1,3),(1,6),(3,5),(4,2),(5,4)],7) => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => ([(0,4),(2,3),(3,1),(4,2)],5) => 5

([(0,3),(0,6),(1,5),(1,6),(3,5),(4,2),(5,4),(6,4)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,2),(2,1)],3) => 3

([(0,3),(0,6),(1,4),(1,6),(2,5),(3,4),(4,2),(6,5)],7) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,3),(2,1),(3,2)],4) => 4

([(0,5),(1,4),(1,6),(2,3),(2,4),(3,6),(6,5)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,2),(2,1)],3) => 3

([(0,5),(0,6),(1,3),(1,6),(2,4),(2,6),(4,5)],7) => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6) => ([(0,3),(1,3),(3,2)],4) => 3

([(0,5),(0,6),(1,4),(1,6),(2,3),(2,6),(3,4),(3,5)],7) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(0,5),(0,6),(1,4),(1,5),(2,3),(2,5),(3,6),(4,6)],7) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => ([(0,2),(1,2)],3) => 2

([(0,5),(0,6),(1,4),(1,6),(2,3),(2,4),(2,6),(4,5)],7) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,3),(2,1),(3,2)],4) => 4

([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,2),(2,1)],3) => 3

([(0,5),(0,6),(1,4),(1,5),(2,3),(2,5),(2,6),(4,6)],7) => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6) => ([(0,3),(1,3),(3,2)],4) => 3

([(0,4),(0,6),(1,4),(1,5),(1,6),(2,3),(2,6),(3,5)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,2),(2,1)],3) => 3

([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(3,4),(3,6)],7) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(0,5),(0,6),(1,4),(1,6),(2,3),(2,4),(2,6),(3,5)],7) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,3),(2,1),(3,2)],4) => 4

([(0,5),(0,6),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,2),(2,1)],3) => 3

([(0,5),(0,6),(1,4),(1,6),(2,3),(2,4),(2,5),(6,3)],7) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(0,5),(0,6),(1,4),(1,6),(2,3),(2,4),(2,5),(3,6)],7) => ([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6) => ([(0,1),(0,2),(1,3),(2,3)],4) => 3

([(0,4),(0,6),(1,4),(1,5),(2,3),(2,5),(5,6)],7) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,3),(2,1),(3,2)],4) => 4

([(0,5),(0,6),(1,3),(1,6),(2,4),(2,5),(4,6)],7) => ([(0,3),(0,4),(2,6),(3,5),(4,2),(4,5),(5,6),(6,1)],7) => ([(0,3),(1,2),(2,3)],4) => 2

([(0,5),(0,6),(1,4),(1,6),(2,3),(2,4),(3,6),(4,5)],7) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(0,5),(0,6),(1,4),(1,6),(2,3),(2,5),(3,6),(4,5)],7) => ([(0,1),(0,2),(1,3),(2,3)],4) => ([],2) => 1

([(0,4),(0,6),(1,4),(1,5),(2,3),(2,5),(3,6)],7) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,3),(2,1),(3,2)],4) => 4

([(0,4),(0,6),(1,4),(1,5),(2,3),(2,5),(3,6),(5,6)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,2),(2,1)],3) => 3

([(0,5),(0,6),(1,4),(1,6),(2,3),(2,4),(3,5),(3,6)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,2),(2,1)],3) => 3

([(0,5),(0,6),(1,4),(1,5),(2,3),(2,4),(3,5),(3,6),(4,6)],7) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(0,2),(1,5),(1,6),(2,3),(2,6),(3,4),(3,5),(6,4)],7) => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => ([(0,4),(2,3),(3,1),(4,2)],5) => 5

([(0,5),(1,4),(1,6),(2,3),(2,6),(5,6)],7) => ([(0,2),(0,3),(0,4),(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(5,8),(6,8),(7,8),(8,1)],9) => ([(0,3),(1,3),(2,3)],4) => 2

([(0,5),(0,6),(1,3),(2,4),(2,6),(3,6),(4,5)],7) => ([(0,1),(0,2),(1,3),(2,3)],4) => ([],2) => 1

([(0,5),(0,6),(1,4),(2,3),(2,5),(3,6),(4,5),(4,6)],7) => ([(0,1),(0,2),(1,3),(2,3)],4) => ([],2) => 1

([(0,5),(0,6),(1,4),(2,3),(2,5),(4,6)],7) => ([(0,3),(0,4),(2,6),(3,5),(4,2),(4,5),(5,6),(6,1)],7) => ([(0,3),(1,2),(2,3)],4) => 2

([(0,5),(0,6),(1,4),(2,3),(2,6),(4,5),(4,6)],7) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => ([(0,2),(1,2)],3) => 2

([(0,4),(0,6),(1,4),(1,5),(2,3),(3,5),(3,6)],7) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(0,5),(0,6),(1,4),(1,6),(2,3),(3,4),(3,5),(3,6)],7) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(0,5),(0,6),(1,3),(2,4),(2,5),(3,6),(4,6)],7) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => ([(1,2)],3) => 1

([(0,5),(0,6),(1,4),(1,6),(2,5),(3,2),(4,3)],7) => ([(0,5),(2,7),(3,6),(4,2),(4,6),(5,3),(5,4),(6,7),(7,1)],8) => ([(0,2),(0,3),(1,4),(2,4),(3,1)],5) => 3

([(0,3),(1,5),(2,4),(2,6),(5,6)],7) => ([(0,2),(0,3),(0,4),(1,7),(2,6),(2,8),(3,5),(3,8),(4,5),(4,6),(5,9),(6,9),(8,1),(8,9),(9,7)],10) => ([(1,3),(2,3)],4) => 1

([(0,4),(1,3),(1,6),(4,6),(5,2),(6,5)],7) => ([(0,2),(0,3),(2,6),(3,6),(4,1),(5,4),(6,5)],7) => ([(0,4),(1,4),(2,3),(4,2)],5) => 4

([(0,5),(1,4),(2,3),(2,6),(4,6),(6,5)],7) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => ([(0,2),(1,2)],3) => 2

([(0,6),(1,4),(2,3),(2,5),(4,5),(4,6)],7) => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6) => ([(0,3),(1,3),(3,2)],4) => 3

([(0,4),(1,5),(1,6),(2,3),(3,4),(3,5),(3,6)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,2),(2,1)],3) => 3

([(0,3),(1,4),(1,6),(2,5),(3,5),(3,6),(4,2)],7) => ([(0,4),(0,5),(1,6),(3,7),(4,8),(5,1),(5,8),(6,7),(7,2),(8,3),(8,6)],9) => ([(0,3),(1,2),(1,3),(2,4),(3,4)],5) => 2

([(0,5),(0,6),(1,3),(2,4),(4,5),(4,6)],7) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => ([(1,2)],3) => 1

([(0,5),(0,6),(1,3),(3,5),(3,6),(4,2),(6,4)],7) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,3),(2,1),(3,2)],4) => 4

([(0,3),(1,5),(1,6),(3,5),(3,6),(4,2),(5,4),(6,4)],7) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(0,3),(1,4),(1,6),(2,5),(3,4),(3,6),(4,2),(6,5)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,2),(2,1)],3) => 3

([(0,4),(1,5),(1,6),(2,3),(3,5),(3,6),(6,4)],7) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(0,6),(1,4),(1,5),(2,3),(3,4),(3,5),(4,6),(5,6)],7) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(0,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,2)],7) => ([(0,3),(0,4),(2,6),(3,5),(4,2),(4,5),(5,6),(6,1)],7) => ([(0,3),(1,2),(2,3)],4) => 2

([(0,4),(1,5),(1,6),(2,5),(2,6),(3,2),(4,1),(4,3)],7) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(0,5),(0,6),(1,4),(2,5),(2,6),(3,2),(4,3)],7) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,3),(2,1),(3,2)],4) => 4

([(0,5),(1,3),(3,6),(4,2),(4,6),(5,4)],7) => ([(0,3),(0,5),(2,8),(3,6),(4,2),(4,7),(5,4),(5,6),(6,7),(7,8),(8,1)],9) => ([(0,4),(1,2),(2,3),(3,4)],5) => 2

([(0,5),(1,4),(2,3),(2,6),(4,6),(5,6)],7) => ([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(4,7),(5,7),(6,7)],8) => ([],3) => 1

([(0,5),(1,3),(1,6),(2,6),(4,2),(5,4)],7) => ([(0,3),(0,5),(2,8),(3,6),(4,2),(4,7),(5,4),(5,6),(6,7),(7,8),(8,1)],9) => ([(0,4),(1,2),(2,3),(3,4)],5) => 2

([(0,4),(2,6),(3,1),(3,6),(4,5),(5,2),(5,3)],7) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(0,5),(0,6),(1,3),(2,6),(3,4),(4,2),(4,5)],7) => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => ([(0,4),(2,3),(3,1),(4,2)],5) => 5

([(0,5),(2,6),(3,2),(4,1),(4,6),(5,3),(5,4)],7) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => ([(0,2),(1,2)],3) => 2

([(0,5),(0,6),(1,4),(2,6),(3,2),(4,3),(4,5)],7) => ([(0,4),(1,6),(2,6),(4,5),(5,1),(5,2),(6,3)],7) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => 4

([(0,5),(0,6),(1,4),(2,3),(3,5),(4,6)],7) => ([(0,1),(0,2),(1,3),(2,3)],4) => ([],2) => 1

([(0,5),(0,6),(1,3),(2,4),(3,6),(4,5),(4,6)],7) => ([(0,1),(0,2),(1,3),(2,3)],4) => ([],2) => 1

([(0,5),(0,6),(1,4),(2,3),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,1),(0,2),(1,3),(2,3)],4) => ([],2) => 1

([(0,3),(1,5),(1,6),(3,6),(4,2),(5,4)],7) => ([(0,3),(0,5),(1,7),(2,8),(3,10),(4,2),(4,6),(5,4),(5,10),(6,7),(6,8),(7,9),(8,9),(10,1),(10,6)],11) => ([(0,4),(1,2),(1,4),(2,3)],5) => 1

([(0,3),(1,4),(1,6),(2,5),(3,6),(4,2),(6,5)],7) => ([(0,3),(0,4),(1,6),(2,5),(3,7),(4,2),(4,7),(5,6),(7,1),(7,5)],8) => ([(0,3),(1,2),(1,3)],4) => 1

([(0,6),(1,3),(2,4),(2,5),(3,5),(4,6)],7) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => ([(0,2),(1,2)],3) => 2

([(0,3),(1,4),(1,6),(2,5),(3,6),(4,5),(6,2)],7) => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6) => ([(0,3),(1,3),(3,2)],4) => 3

([(0,6),(1,4),(2,3),(2,5),(3,6),(4,5),(5,6)],7) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => ([(0,2),(1,2)],3) => 2

([(0,6),(1,4),(2,3),(2,5),(3,6),(4,5),(4,6)],7) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => ([(0,2),(1,2)],3) => 2

([(0,6),(1,3),(1,4),(5,2),(6,5)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,2),(2,1)],3) => 3

([(0,2),(0,6),(3,5),(4,3),(5,1),(6,4)],7) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,3),(2,1),(3,2)],4) => 4

([(0,6),(1,2),(1,5),(3,6),(4,3),(5,4)],7) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(0,4),(0,5),(1,6),(2,6),(3,2),(4,3),(5,1)],7) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => ([(1,2)],3) => 1

([(0,4),(1,2),(1,5),(3,6),(4,6),(5,3)],7) => ([(0,1),(0,2),(1,3),(2,3)],4) => ([],2) => 1

([(0,6),(1,4),(4,6),(5,2),(5,3),(6,5)],7) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(0,6),(1,4),(2,3),(2,5),(4,6),(6,5)],7) => ([(0,1),(0,2),(1,3),(2,3)],4) => ([],2) => 1

([(1,6),(2,4),(5,3),(6,5)],7) => ([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8) => ([(1,2),(2,3)],4) => 1

([(1,6),(4,3),(5,2),(6,4),(6,5)],7) => ([(0,1),(0,2),(1,3),(2,3)],4) => ([],2) => 1

([(1,3),(2,6),(3,5),(5,4),(5,6)],7) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,3),(2,1),(3,2)],4) => 4

([(0,6),(1,4),(4,5),(5,2),(5,6),(6,3)],7) => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => ([(0,4),(2,3),(3,1),(4,2)],5) => 5

([(1,6),(3,5),(4,3),(5,2),(6,4)],7) => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => ([(0,4),(2,3),(3,1),(4,2)],5) => 5

([(0,5),(1,6),(4,3),(5,4),(6,2)],7) => ([(0,4),(0,5),(1,9),(2,3),(2,11),(3,8),(4,1),(4,10),(5,2),(5,10),(7,6),(8,6),(9,7),(10,9),(10,11),(11,7),(11,8)],12) => ([(0,3),(1,4),(4,2)],5) => 1

([(0,5),(1,3),(3,6),(4,2),(5,4),(5,6)],7) => ([(0,3),(0,5),(1,8),(2,7),(3,6),(4,2),(4,9),(5,4),(5,6),(6,9),(7,8),(9,1),(9,7)],10) => ([(0,4),(1,2),(2,3),(2,4)],5) => 1

([(0,3),(1,4),(2,6),(3,5),(4,2),(4,5),(5,6)],7) => ([(0,3),(0,4),(2,6),(3,5),(4,2),(4,5),(5,6),(6,1)],7) => ([(0,3),(1,2),(2,3)],4) => 2

([(0,5),(3,4),(4,1),(5,6),(6,2),(6,3)],7) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(0,6),(3,5),(4,3),(5,1),(6,2),(6,4)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,2),(2,1)],3) => 3

([(0,5),(1,4),(3,6),(4,3),(5,2),(5,6)],7) => ([(0,4),(0,5),(2,8),(3,7),(4,3),(4,6),(5,2),(5,6),(6,7),(6,8),(7,9),(8,9),(9,1)],10) => ([(0,3),(1,2),(2,4),(3,4)],5) => 2

([(0,5),(2,6),(3,4),(4,1),(4,6),(5,2),(5,3)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,2),(2,1)],3) => 3

([(0,3),(1,4),(2,5),(3,5),(3,6),(4,2),(4,6)],7) => ([(0,3),(0,5),(1,7),(3,6),(4,2),(5,1),(5,6),(6,7),(7,4)],8) => ([(0,4),(1,2),(2,4),(4,3)],5) => 3

([(1,6),(2,4),(3,5),(5,6)],7) => ([(0,1),(0,2),(1,3),(2,3)],4) => ([],2) => 1

([(0,6),(1,3),(2,4),(4,6),(6,5)],7) => ([(0,1),(0,2),(1,3),(2,3)],4) => ([],2) => 1

([(0,6),(1,3),(3,6),(5,2),(6,4),(6,5)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,2),(2,1)],3) => 3

([(1,6),(2,5),(3,4),(4,6),(5,6)],7) => ([(0,1),(0,2),(1,3),(2,3)],4) => ([],2) => 1

([(0,6),(1,4),(2,3),(3,6),(4,6),(6,5)],7) => ([(0,1),(0,2),(1,3),(2,3)],4) => ([],2) => 1

([(0,5),(1,4),(2,6),(6,3)],7) => ([(0,2),(0,3),(0,4),(1,5),(1,6),(2,7),(2,9),(3,7),(3,8),(4,1),(4,8),(4,9),(5,11),(6,11),(7,10),(8,5),(8,10),(9,6),(9,10),(10,11)],12) => ([(2,3)],4) => 1

([(0,4),(1,6),(5,3),(6,2),(6,5)],7) => ([(0,1),(0,2),(1,3),(2,3)],4) => ([],2) => 1

([(0,6),(4,3),(5,2),(6,1),(6,4),(6,5)],7) => ([(0,1),(0,2),(1,3),(2,3)],4) => ([],2) => 1

([(0,6),(1,5),(4,3),(5,2),(5,4),(5,6)],7) => ([(0,1),(0,2),(1,3),(2,3)],4) => ([],2) => 1

([(0,6),(1,3),(2,4),(4,5),(4,6)],7) => ([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8) => ([(1,2),(2,3)],4) => 1

([(0,6),(1,5),(2,3),(3,4),(3,5),(3,6)],7) => ([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6) => ([(0,3),(3,1),(3,2)],4) => 3

([(0,6),(1,4),(4,3),(4,6),(5,2),(6,5)],7) => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => ([(0,4),(2,3),(3,1),(4,2)],5) => 5

([(0,6),(1,5),(2,3),(3,4),(3,6),(6,5)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,2),(2,1)],3) => 3

([(0,6),(1,5),(2,3),(3,4),(3,6),(4,5)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,2),(2,1)],3) => 3

([(0,6),(1,4),(2,5),(3,5),(4,3),(4,6),(6,2)],7) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,3),(2,1),(3,2)],4) => 4

([(0,6),(1,5),(2,3),(3,4),(3,5),(4,6),(5,6)],7) => ([(0,3),(2,1),(3,2)],4) => ([(0,2),(2,1)],3) => 3

([(0,6),(1,3),(4,5),(5,2),(6,4)],7) => ([(0,2),(0,5),(1,7),(2,6),(3,4),(3,9),(4,1),(4,8),(5,3),(5,6),(6,9),(8,7),(9,8)],10) => ([(1,4),(3,2),(4,3)],5) => 1

([(0,5),(3,2),(4,1),(5,6),(6,3),(6,4)],7) => ([(0,1),(0,2),(1,3),(2,3)],4) => ([],2) => 1

([(0,6),(1,4),(3,2),(4,5),(5,3),(5,6)],7) => ([(0,4),(1,6),(2,6),(3,5),(4,3),(5,1),(5,2)],7) => ([(0,3),(3,4),(4,1),(4,2)],5) => 4

([(0,6),(1,4),(2,5),(3,2),(3,6),(4,3),(6,5)],7) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,3),(2,1),(3,2)],4) => 4

([(0,6),(1,4),(3,5),(4,3),(5,2),(5,6)],7) => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => ([(0,4),(2,3),(3,1),(4,2)],5) => 5

([(0,6),(3,4),(4,1),(5,2),(6,3),(6,5)],7) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => ([(1,2)],3) => 1

([(0,6),(1,5),(3,4),(4,2),(5,3),(5,6)],7) => ([(0,4),(1,7),(2,6),(3,1),(3,6),(4,5),(5,2),(5,3),(6,7)],8) => ([(0,4),(3,2),(4,1),(4,3)],5) => 3

([(0,6),(1,4),(2,5),(3,2),(4,3),(4,6),(6,5)],7) => ([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6) => ([(0,3),(3,1),(3,2)],4) => 3

([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 6

([(0,6),(1,3),(2,4),(3,5),(4,6)],7) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => ([(1,2)],3) => 1

([(0,6),(1,3),(2,4),(3,6),(4,5),(4,6)],7) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => ([(1,2)],3) => 1

([(0,5),(1,3),(2,4),(3,6),(4,5),(4,6)],7) => ([(0,1),(0,2),(1,3),(2,3)],4) => ([],2) => 1

([(0,6),(1,4),(2,3),(3,5),(3,6),(4,5),(4,6)],7) => ([(0,1),(0,2),(1,3),(2,3)],4) => ([],2) => 1

([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7) => ([(0,1),(0,2),(1,3),(2,3)],4) => ([],2) => 1

([(0,6),(1,3),(2,4),(3,5),(4,6),(5,6)],7) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => ([(1,2)],3) => 1

([(0,5),(1,4),(2,3),(4,6),(5,6)],7) => ([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(4,7),(5,7),(6,7)],8) => ([],3) => 1

([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7) => ([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8) => ([(1,2),(2,3)],4) => 1

([(0,5),(1,6),(2,6),(3,2),(4,1),(5,3),(5,4)],7) => ([(0,1),(0,2),(1,3),(2,3)],4) => ([],2) => 1

([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7) => ([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(4,7),(5,7),(6,7)],8) => ([],3) => 1

([(0,4),(1,3),(3,6),(4,6),(5,2),(6,5)],7) => ([(0,1),(0,2),(1,3),(2,3)],4) => ([],2) => 1

([(0,5),(1,4),(2,3),(3,6),(4,6),(6,5)],7) => ([(0,1),(0,2),(1,3),(2,3)],4) => ([],2) => 1

([(0,6),(1,3),(2,4),(4,5),(5,6)],7) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => ([(1,2)],3) => 1

([(0,6),(1,4),(3,6),(4,3),(5,2),(6,5)],7) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(0,6),(1,5),(2,3),(3,4),(4,5),(5,6)],7) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(0,6),(1,5),(2,6),(3,4),(4,2),(5,3)],7) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,3),(2,1),(3,2)],4) => 4

([(0,5),(1,4),(2,6),(3,6),(4,2),(5,3)],7) => ([(0,3),(0,4),(1,7),(2,6),(3,2),(3,5),(4,1),(4,5),(5,6),(5,7),(6,8),(7,8)],9) => ([(0,3),(1,2)],4) => 1

([(0,5),(1,6),(2,6),(3,4),(4,2),(5,1),(5,3)],7) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(0,6),(1,5),(2,3),(3,4),(4,5),(4,6)],7) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(0,7),(1,6),(2,7),(3,5),(4,3),(5,2),(6,4)],8) => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => ([(0,4),(2,3),(3,1),(4,2)],5) => 5

([(0,6),(1,3),(2,7),(3,7),(4,5),(5,2),(6,4)],8) => ([(0,2),(0,5),(1,7),(2,6),(3,4),(3,9),(4,1),(4,8),(5,3),(5,6),(6,9),(8,7),(9,8)],10) => ([(1,4),(3,2),(4,3)],5) => 1

([(0,5),(1,6),(2,7),(3,7),(4,3),(5,4),(6,2)],8) => ([(0,4),(0,5),(1,9),(2,3),(2,11),(3,8),(4,1),(4,10),(5,2),(5,10),(7,6),(8,6),(9,7),(10,9),(10,11),(11,7),(11,8)],12) => ([(0,3),(1,4),(4,2)],5) => 1

([(0,3),(1,6),(2,6),(3,5),(4,7),(5,4),(6,7)],8) => ([(0,3),(2,1),(3,2)],4) => ([(0,2),(2,1)],3) => 3

([(0,7),(1,7),(2,7),(3,7),(4,5),(5,6),(6,7)],8) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(0,7),(1,7),(2,7),(3,6),(4,5),(5,7),(6,7)],8) => ([(0,1),(0,2),(1,3),(2,3)],4) => ([],2) => 1

([(0,4),(1,7),(2,7),(3,7),(4,6),(5,7),(6,5)],8) => ([(0,3),(2,1),(3,2)],4) => ([(0,2),(2,1)],3) => 3

([(0,7),(1,7),(2,4),(3,5),(4,6),(5,7),(6,7)],8) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => ([(1,2)],3) => 1

([(0,7),(1,6),(2,4),(3,7),(4,7),(5,3),(6,5)],8) => ([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8) => ([(1,2),(2,3)],4) => 1

([(0,7),(1,6),(2,6),(3,4),(4,5),(5,7),(6,7)],8) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(0,7),(1,6),(2,5),(3,7),(4,7),(5,3),(6,4)],8) => ([(0,3),(0,4),(1,7),(2,6),(3,2),(3,5),(4,1),(4,5),(5,6),(5,7),(6,8),(7,8)],9) => ([(0,3),(1,2)],4) => 1

([(0,8),(1,7),(2,8),(3,4),(4,6),(5,3),(6,2),(7,5)],9) => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 6

([(0,6),(1,7),(2,7),(4,2),(5,1),(6,4),(6,5),(7,3)],8) => ([(0,1),(0,2),(1,3),(2,3)],4) => ([],2) => 1

([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8) => ([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6) => ([(0,1),(0,2),(1,3),(2,3)],4) => 3

([(0,3),(0,5),(1,7),(3,6),(4,2),(5,1),(5,6),(6,7),(7,4)],8) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(0,3),(0,4),(1,6),(2,5),(3,7),(4,2),(4,7),(5,6),(7,1),(7,5)],8) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,3),(2,1),(3,2)],4) => 4

([(0,5),(2,7),(3,6),(4,2),(4,6),(5,3),(5,4),(6,7),(7,1)],8) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(0,5),(0,6),(1,7),(2,7),(3,2),(4,1),(5,3),(6,4)],8) => ([(0,3),(0,4),(1,7),(2,6),(3,2),(3,5),(4,1),(4,5),(5,6),(5,7),(6,8),(7,8)],9) => ([(0,3),(1,2)],4) => 1

([(0,4),(0,5),(0,6),(1,7),(2,7),(3,7),(4,3),(5,2),(6,1)],8) => ([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(4,7),(5,7),(6,7)],8) => ([],3) => 1

([(0,4),(1,7),(2,6),(3,1),(3,6),(4,5),(5,2),(5,3),(6,7)],8) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(0,5),(0,6),(1,7),(2,7),(3,4),(4,2),(5,3),(6,1)],8) => ([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8) => ([(1,2),(2,3)],4) => 1

([(0,3),(0,4),(1,7),(2,6),(3,8),(4,8),(5,1),(5,6),(6,7),(8,2),(8,5)],9) => ([(0,3),(2,1),(3,2)],4) => ([(0,2),(2,1)],3) => 3

([(0,4),(0,5),(1,8),(2,6),(3,6),(4,7),(5,1),(5,7),(7,8),(8,2),(8,3)],9) => ([(0,3),(2,1),(3,2)],4) => ([(0,2),(2,1)],3) => 3

([(0,5),(1,6),(2,7),(3,4),(3,6),(4,2),(4,8),(5,1),(5,3),(6,8),(8,7)],9) => ([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6) => ([(0,1),(0,2),(1,3),(2,3)],4) => 3

([(0,5),(1,7),(2,8),(3,6),(4,3),(4,8),(5,2),(5,4),(6,7),(8,1),(8,6)],9) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,3),(2,1),(3,2)],4) => 4

([(0,3),(0,5),(2,8),(3,6),(4,2),(4,7),(5,4),(5,6),(6,7),(7,8),(8,1)],9) => ([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6) => ([(0,1),(0,2),(1,3),(2,3)],4) => 3

([(0,4),(0,5),(1,6),(3,7),(4,8),(5,1),(5,8),(6,7),(7,2),(8,3),(8,6)],9) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,3),(2,1),(3,2)],4) => 4

([(0,2),(0,3),(0,4),(1,7),(1,9),(2,8),(3,5),(3,8),(4,1),(4,5),(4,8),(5,7),(5,9),(7,6),(8,9),(9,6)],10) => ([(0,3),(2,1),(3,2)],4) => ([(0,2),(2,1)],3) => 3

([(0,1),(0,2),(0,3),(0,4),(1,10),(2,6),(2,7),(2,10),(3,5),(3,7),(3,10),(4,5),(4,6),(4,10),(5,9),(5,11),(6,9),(6,11),(7,9),(7,11),(9,8),(10,11),(11,8)],12) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(0,4),(0,5),(1,9),(2,3),(2,11),(3,8),(4,1),(4,10),(5,2),(5,10),(7,6),(8,6),(9,7),(10,9),(10,11),(11,7),(11,8)],12) => ([(0,3),(2,1),(3,2)],4) => ([(0,2),(2,1)],3) => 3

([(0,4),(0,5),(1,7),(2,9),(2,11),(3,2),(3,10),(4,3),(4,6),(5,1),(5,6),(6,7),(6,10),(7,11),(9,8),(10,9),(10,11),(11,8)],12) => ([(0,3),(2,1),(3,2)],4) => ([(0,2),(2,1)],3) => 3

([(0,6),(1,7),(2,9),(4,8),(5,1),(5,9),(6,2),(6,5),(7,8),(8,3),(9,4),(9,7)],10) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,3),(2,1),(3,2)],4) => 4

([(0,6),(1,9),(1,10),(2,8),(3,7),(4,3),(4,12),(5,2),(5,12),(6,4),(6,5),(7,9),(7,11),(8,10),(8,11),(9,13),(10,13),(11,13),(12,1),(12,7),(12,8)],14) => ([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6) => ([(0,1),(0,2),(1,3),(2,3)],4) => 3

([(0,7),(1,11),(1,14),(2,10),(3,8),(4,9),(5,3),(5,13),(6,4),(6,13),(7,5),(7,6),(8,12),(8,14),(9,11),(9,12),(11,15),(12,15),(13,1),(13,8),(13,9),(14,2),(14,15),(15,10)],16) => ([(0,5),(2,6),(3,6),(4,1),(5,2),(5,3),(6,4)],7) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => 4

([(0,5),(0,6),(1,8),(2,9),(3,8),(3,9),(4,1),(5,4),(6,7),(7,2),(7,3),(8,10),(9,10)],11) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(0,6),(0,7),(1,9),(2,12),(3,9),(3,12),(4,10),(5,1),(6,5),(7,8),(8,2),(8,3),(9,11),(11,10),(12,4),(12,11)],13) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(0,7),(1,14),(2,9),(3,10),(4,5),(4,14),(5,6),(5,8),(6,2),(6,11),(7,1),(7,4),(8,10),(8,11),(9,13),(10,12),(11,9),(11,12),(12,13),(14,3),(14,8)],15) => ([(0,3),(2,1),(3,2)],4) => ([(0,2),(2,1)],3) => 3

([(0,1),(1,4),(1,5),(2,13),(3,12),(4,14),(5,7),(5,14),(6,10),(7,8),(7,15),(8,6),(8,17),(10,11),(11,9),(12,9),(13,3),(13,16),(14,2),(14,15),(15,13),(15,17),(16,11),(16,12),(17,10),(17,16)],18) => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 6

([(0,1),(1,5),(1,6),(2,15),(3,14),(4,10),(5,16),(6,8),(6,16),(7,12),(8,9),(8,17),(9,7),(9,19),(11,13),(12,11),(13,10),(14,4),(14,13),(15,3),(15,18),(16,2),(16,17),(17,15),(17,19),(18,11),(18,14),(19,12),(19,18)],20) => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 6

([(0,10),(1,20),(2,19),(4,18),(5,17),(6,13),(7,8),(7,17),(8,9),(8,11),(9,6),(9,15),(10,5),(10,7),(11,15),(11,18),(12,16),(12,20),(13,16),(14,19),(15,12),(15,13),(16,14),(17,4),(17,11),(18,1),(18,12),(19,3),(20,2),(20,14)],21) => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 6

([(0,6),(1,9),(2,8),(3,5),(3,7),(4,1),(4,7),(5,2),(5,10),(6,3),(6,4),(7,9),(7,10),(8,12),(9,11),(10,8),(10,11),(11,12)],13) => ([(0,3),(2,1),(3,2)],4) => ([(0,2),(2,1)],3) => 3

([(0,1),(1,2),(1,3),(2,4),(2,13),(3,6),(3,13),(4,15),(5,14),(6,5),(6,16),(7,10),(7,12),(8,18),(9,18),(10,17),(11,9),(11,17),(12,8),(12,17),(13,7),(13,15),(13,16),(14,8),(14,9),(15,10),(15,11),(16,11),(16,12),(16,14),(17,18)],19) => ([(0,3),(2,1),(3,2)],4) => ([(0,2),(2,1)],3) => 3

([(0,1),(1,3),(1,4),(2,15),(3,6),(3,18),(4,5),(4,18),(5,17),(6,7),(6,19),(7,16),(8,12),(8,14),(10,21),(11,21),(12,2),(12,20),(13,11),(13,20),(14,10),(14,20),(15,9),(16,10),(16,11),(17,12),(17,13),(18,8),(18,17),(18,19),(19,13),(19,14),(19,16),(20,15),(20,21),(21,9)],22) => ([(0,4),(1,6),(2,6),(4,5),(5,1),(5,2),(6,3)],7) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => 4

([(0,5),(1,8),(2,9),(3,7),(4,3),(4,9),(5,6),(6,2),(6,4),(7,8),(9,1),(9,7)],10) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,3),(2,1),(3,2)],4) => 4

([(0,6),(1,8),(2,10),(4,9),(5,1),(5,10),(6,7),(7,2),(7,5),(8,9),(9,3),(10,4),(10,8)],11) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,3),(2,1),(3,2)],4) => 4

([(0,6),(0,7),(1,11),(2,9),(3,9),(3,10),(4,2),(5,1),(5,10),(6,4),(7,8),(8,3),(8,5),(9,12),(10,11),(10,12),(11,13),(12,13)],14) => ([(0,4),(0,5),(2,8),(3,7),(4,3),(4,6),(5,2),(5,6),(6,7),(6,8),(7,9),(8,9),(9,1)],10) => ([(0,3),(1,2),(2,4),(3,4)],5) => 2

([(0,10),(0,12),(1,23),(2,22),(3,14),(3,24),(4,15),(5,13),(5,14),(6,18),(7,16),(7,20),(8,5),(8,23),(9,4),(9,24),(10,11),(11,3),(11,9),(12,1),(12,8),(13,22),(14,19),(15,16),(15,21),(16,25),(18,17),(19,20),(19,21),(20,18),(20,25),(21,25),(22,6),(23,2),(23,13),(24,7),(24,15),(24,19),(25,17)],26) => ([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6) => ([(0,1),(0,2),(1,3),(2,3)],4) => 3

([(0,2),(0,3),(1,9),(1,12),(2,1),(3,5),(3,8),(4,23),(5,24),(6,17),(7,22),(8,13),(8,24),(9,10),(9,27),(10,26),(11,16),(11,20),(12,19),(12,27),(13,18),(13,19),(15,28),(16,4),(16,28),(17,7),(18,17),(19,25),(20,22),(20,28),(21,14),(22,21),(23,14),(24,6),(24,18),(25,15),(25,20),(26,15),(26,16),(27,11),(27,25),(27,26),(28,21),(28,23)],29) => ([(0,5),(2,6),(3,6),(4,1),(5,2),(5,3),(6,4)],7) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => 4

([(0,6),(1,7),(2,8),(3,9),(4,3),(4,7),(5,2),(5,10),(6,1),(6,4),(7,5),(7,9),(9,10),(10,8)],11) => ([(0,5),(1,7),(2,7),(4,6),(5,4),(6,1),(6,2),(7,3)],8) => ([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6) => 5

([(0,6),(0,7),(1,11),(2,9),(3,9),(3,10),(4,5),(5,1),(5,10),(6,4),(7,8),(8,2),(8,3),(9,12),(10,11),(10,12),(11,13),(12,13)],14) => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => ([(0,4),(2,3),(3,1),(4,2)],5) => 5

([(0,9),(0,11),(1,14),(2,12),(2,13),(3,12),(3,17),(4,18),(5,15),(5,16),(6,7),(7,4),(7,13),(8,5),(8,19),(9,6),(10,2),(10,3),(10,14),(11,1),(11,10),(12,20),(13,18),(13,20),(14,8),(14,17),(15,22),(16,22),(17,19),(18,15),(18,21),(19,16),(20,21),(21,22)],23) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(0,10),(0,12),(1,15),(2,13),(2,14),(3,16),(3,18),(4,20),(5,13),(5,17),(6,21),(7,8),(8,6),(8,14),(9,3),(9,24),(10,7),(11,2),(11,5),(11,15),(12,1),(12,11),(13,22),(14,21),(14,22),(15,9),(15,17),(16,20),(16,25),(17,24),(18,25),(20,19),(21,18),(21,23),(22,23),(23,25),(24,4),(24,16),(25,19)],26) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,3),(2,1),(3,2)],4) => 4

([(0,11),(0,13),(1,19),(2,20),(3,26),(4,17),(4,22),(5,16),(6,14),(6,21),(7,14),(7,15),(8,9),(9,1),(9,15),(10,4),(10,25),(11,8),(12,6),(12,7),(12,16),(13,5),(13,12),(14,23),(15,19),(15,23),(16,10),(16,21),(17,26),(17,27),(18,20),(19,22),(19,24),(21,25),(22,27),(23,24),(24,27),(25,3),(25,17),(26,2),(26,18),(27,18)],28) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,3),(2,1),(3,2)],4) => 4

([(0,7),(1,8),(1,9),(2,9),(2,13),(3,8),(3,13),(4,11),(5,10),(6,5),(7,1),(7,2),(7,3),(8,6),(9,12),(11,10),(12,11),(13,4),(13,12)],14) => ([(0,5),(1,8),(2,7),(3,2),(3,6),(4,1),(4,6),(5,3),(5,4),(6,7),(6,8),(7,9),(8,9)],10) => ([(0,3),(0,4),(3,2),(4,1)],5) => 2

([(0,2),(1,8),(2,5),(2,6),(2,7),(3,17),(4,16),(5,12),(5,13),(6,12),(6,14),(7,13),(7,14),(8,10),(8,11),(9,18),(10,18),(11,18),(12,1),(13,4),(13,15),(14,3),(14,15),(15,16),(15,17),(16,9),(16,10),(17,9),(17,11)],19) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(0,9),(1,10),(1,18),(2,10),(2,17),(3,17),(3,18),(5,14),(6,15),(7,12),(7,13),(8,7),(9,1),(9,2),(9,3),(10,8),(11,14),(11,15),(12,19),(13,19),(14,12),(14,16),(15,13),(15,16),(16,19),(17,5),(17,11),(18,6),(18,11),(19,4)],20) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(0,7),(2,9),(3,10),(4,8),(5,4),(5,10),(6,1),(7,3),(7,5),(8,9),(9,6),(10,2),(10,8)],11) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,3),(2,1),(3,2)],4) => 4

([(0,3),(0,5),(1,8),(2,7),(3,6),(4,2),(4,9),(5,1),(5,6),(6,4),(6,8),(8,9),(9,7)],10) => ([(0,5),(1,7),(2,7),(4,6),(5,4),(6,1),(6,2),(7,3)],8) => ([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6) => 5

([(0,4),(0,6),(1,8),(3,7),(4,9),(5,2),(6,3),(6,9),(7,8),(8,5),(9,1),(9,7)],10) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,3),(2,1),(3,2)],4) => 4

([(0,3),(0,4),(1,11),(2,10),(3,2),(3,9),(4,1),(4,9),(5,7),(5,8),(6,12),(7,12),(8,12),(9,5),(9,10),(9,11),(10,6),(10,7),(11,6),(11,8)],13) => ([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6) => ([(0,1),(0,2),(1,3),(2,3)],4) => 3

([(0,5),(1,6),(2,7),(2,9),(3,7),(3,8),(4,2),(4,3),(4,6),(5,1),(5,4),(6,8),(6,9),(7,10),(8,10),(9,10)],11) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(0,7),(0,8),(1,12),(2,11),(3,10),(4,10),(4,11),(5,3),(6,1),(6,13),(7,9),(8,5),(9,2),(9,4),(10,14),(11,6),(11,14),(13,12),(14,13)],15) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(0,8),(2,11),(2,12),(3,10),(4,9),(5,4),(5,14),(6,3),(6,14),(7,1),(8,5),(8,6),(9,11),(9,13),(10,12),(10,13),(11,15),(12,15),(13,15),(14,2),(14,9),(14,10),(15,7)],16) => ([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6) => ([(0,1),(0,2),(1,3),(2,3)],4) => 3

([(0,3),(0,5),(1,8),(2,7),(3,6),(4,2),(4,9),(5,4),(5,6),(6,9),(7,8),(9,1),(9,7)],10) => ([(0,6),(2,7),(3,7),(4,1),(5,4),(6,2),(6,3),(7,5)],8) => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6) => 5

([(0,4),(0,5),(1,7),(2,9),(3,6),(4,8),(5,2),(5,8),(6,7),(8,3),(8,9),(9,1),(9,6)],10) => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 6

([(0,4),(0,6),(1,9),(3,8),(4,7),(5,3),(5,10),(6,5),(6,7),(7,10),(8,9),(9,2),(10,1),(10,8)],11) => ([(0,6),(2,7),(3,7),(4,1),(5,4),(6,2),(6,3),(7,5)],8) => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6) => 5

([(0,5),(0,6),(2,9),(3,8),(4,2),(4,10),(5,3),(5,7),(6,4),(6,7),(7,8),(7,10),(8,11),(9,12),(10,9),(10,11),(11,12),(12,1)],13) => ([(0,3),(2,1),(3,2)],4) => ([(0,2),(2,1)],3) => 3

([(0,6),(0,7),(1,14),(2,13),(4,9),(5,1),(5,10),(6,4),(6,8),(7,5),(7,8),(8,9),(8,10),(9,12),(10,12),(10,14),(11,13),(12,11),(13,3),(14,2),(14,11)],15) => ([(0,3),(2,1),(3,2)],4) => ([(0,2),(2,1)],3) => 3

([(0,1),(0,2),(1,6),(1,7),(2,6),(2,7),(4,3),(5,3),(6,4),(6,5),(7,4),(7,5)],8) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(0,3),(0,4),(1,6),(2,5),(2,7),(3,5),(3,7),(4,2),(5,6),(7,1)],8) => ([(0,3),(2,1),(3,2)],4) => ([(0,2),(2,1)],3) => 3

([(0,2),(0,7),(1,6),(1,7),(2,5),(2,6),(4,3),(5,3),(6,4),(7,4),(7,5)],8) => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => ([(0,4),(2,3),(3,1),(4,2)],5) => 5

([(0,6),(0,7),(1,6),(1,7),(4,2),(4,3),(5,2),(5,3),(6,4),(6,5),(7,4),(7,5)],8) => ([(0,3),(2,1),(3,2)],4) => ([(0,2),(2,1)],3) => 3

([(0,7),(1,2),(1,7),(2,5),(2,6),(5,3),(5,4),(6,3),(6,4),(7,5),(7,6)],8) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,3),(2,1),(3,2)],4) => 4

([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(5,7),(6,2),(6,7),(7,3),(7,4)],8) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,3),(2,1),(3,2)],4) => 4

([(0,2),(0,5),(1,5),(1,7),(2,6),(2,7),(5,6),(6,3),(6,4),(7,3),(7,4)],8) => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => ([(0,4),(2,3),(3,1),(4,2)],5) => 5

([(0,7),(1,4),(4,7),(5,3),(6,2),(6,5),(7,6)],8) => ([(0,3),(2,1),(3,2)],4) => ([(0,2),(2,1)],3) => 3

([(0,6),(0,7),(1,6),(1,7),(4,3),(5,2),(5,3),(6,4),(6,5),(7,4),(7,5)],8) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,3),(2,1),(3,2)],4) => 4

([(0,7),(1,3),(1,7),(3,5),(3,6),(5,4),(6,2),(6,4),(7,5),(7,6)],8) => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => ([(0,4),(2,3),(3,1),(4,2)],5) => 5

([(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(5,4),(6,2),(6,5),(7,3),(7,5)],8) => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => ([(0,4),(2,3),(3,1),(4,2)],5) => 5

([(0,1),(0,3),(1,2),(1,7),(2,5),(2,6),(3,6),(3,7),(6,4),(7,4),(7,5)],8) => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => ([(0,4),(2,3),(3,1),(4,2)],5) => 5

([(0,2),(0,7),(1,6),(1,7),(2,5),(2,6),(5,4),(6,3),(6,4),(7,3),(7,5)],8) => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 6

([(0,5),(0,6),(0,7),(1,3),(1,4),(2,3),(2,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(6,3),(6,4),(7,3),(7,4)],8) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(4,5),(4,6),(4,7),(7,3)],8) => ([(0,3),(2,1),(3,2)],4) => ([(0,2),(2,1)],3) => 3

([(0,6),(0,7),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(0,1),(0,2),(0,3),(0,4),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,3),(2,1),(3,2)],4) => 4

([(4,7),(5,6),(5,7)],8) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(0,3),(0,4),(1,2),(1,11),(2,8),(3,9),(3,10),(4,1),(4,9),(4,10),(6,7),(7,5),(8,5),(9,6),(10,6),(10,11),(11,7),(11,8)],12) => ([(0,3),(2,1),(3,2)],4) => ([(0,2),(2,1)],3) => 3

([(0,2),(0,3),(1,8),(2,10),(2,11),(3,1),(3,10),(3,11),(5,6),(6,4),(7,4),(8,7),(9,6),(9,7),(10,5),(10,9),(11,5),(11,8),(11,9)],12) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(0,1),(0,2),(1,8),(1,9),(2,8),(2,9),(4,3),(5,3),(6,4),(6,5),(7,4),(7,5),(8,6),(8,7),(9,6),(9,7)],10) => ([(0,3),(2,1),(3,2)],4) => ([(0,2),(2,1)],3) => 3

([(0,3),(0,4),(1,2),(1,10),(1,11),(2,8),(2,9),(3,6),(3,7),(4,1),(4,6),(4,7),(6,11),(7,10),(8,5),(9,5),(10,8),(11,9)],12) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => ([(0,1),(0,2)],3) => 2

([(0,4),(0,5),(1,11),(2,1),(2,13),(3,7),(3,14),(4,2),(4,12),(4,16),(5,3),(5,12),(5,16),(7,8),(8,9),(9,6),(10,6),(11,10),(12,7),(13,11),(13,15),(14,8),(14,15),(15,9),(15,10),(16,13),(16,14)],17) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,3),(2,1),(3,2)],4) => 4

([(0,2),(0,3),(1,11),(1,12),(2,13),(2,14),(3,1),(3,13),(3,14),(5,7),(6,8),(7,4),(8,4),(9,7),(9,8),(10,5),(10,9),(11,6),(11,9),(12,5),(12,6),(13,10),(13,11),(14,10),(14,12)],15) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(0,2),(0,3),(1,9),(2,12),(2,14),(3,1),(3,12),(3,14),(5,7),(6,8),(7,4),(8,4),(9,5),(10,6),(10,11),(11,7),(11,8),(12,10),(12,13),(13,5),(13,6),(13,11),(14,9),(14,10),(14,13)],15) => ([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6) => ([(0,1),(0,2),(1,3),(2,3)],4) => 3

([(0,3),(0,4),(1,11),(2,10),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,8),(7,9),(8,5),(9,5),(10,6),(11,7),(12,6),(12,14),(13,7),(13,14),(14,8),(14,9),(15,12),(15,13),(16,10),(16,11),(16,12),(16,13)],17) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => ([(0,1),(0,2)],3) => 2

([(0,3),(0,4),(1,11),(2,12),(2,13),(3,2),(3,15),(3,16),(4,1),(4,15),(4,16),(6,7),(7,9),(8,10),(9,5),(10,5),(11,8),(12,7),(12,14),(13,8),(13,14),(14,9),(14,10),(15,6),(15,12),(16,6),(16,11),(16,13)],17) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(0,4),(0,5),(1,12),(2,3),(2,13),(2,16),(3,8),(3,14),(4,1),(4,9),(4,15),(5,2),(5,9),(5,15),(7,10),(8,11),(9,13),(10,6),(11,6),(12,7),(13,8),(14,10),(14,11),(15,12),(15,16),(16,7),(16,14)],17) => ([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7) => ([(0,2),(0,3),(3,1)],4) => 2

([(0,2),(0,3),(1,10),(1,11),(2,13),(2,14),(3,1),(3,13),(3,14),(5,8),(6,7),(7,4),(8,4),(9,7),(9,8),(10,6),(10,9),(11,5),(11,9),(12,5),(12,6),(13,10),(13,12),(14,11),(14,12)],15) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(0,1),(0,2),(1,10),(1,11),(2,10),(2,11),(4,3),(5,3),(6,8),(6,9),(7,8),(7,9),(8,4),(8,5),(9,4),(9,5),(10,6),(10,7),(11,6),(11,7)],12) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,3),(2,1),(3,2)],4) => 4

([(0,3),(1,2),(2,6),(2,7),(3,6),(3,7),(6,4),(6,5),(7,4),(7,5)],8) => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6) => ([(0,3),(1,3),(3,2)],4) => 3

([(0,6),(0,7),(1,4),(1,5),(2,3),(2,4),(3,5),(4,6),(4,7),(5,6),(5,7)],8) => ([(0,3),(2,1),(3,2)],4) => ([(0,2),(2,1)],3) => 3

([(0,7),(1,4),(1,6),(2,3),(2,4),(3,6),(3,7),(4,5),(4,7),(6,5)],8) => ([(0,3),(2,1),(3,2)],4) => ([(0,2),(2,1)],3) => 3

([(1,3),(1,7),(2,6),(2,7),(3,5),(3,6),(6,4),(7,4),(7,5)],8) => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => ([(0,4),(2,3),(3,1),(4,2)],5) => 5

([(1,3),(2,4),(3,5),(3,7),(4,6),(4,7),(5,6)],8) => ([(0,3),(0,5),(1,7),(3,6),(4,2),(5,1),(5,6),(6,7),(7,4)],8) => ([(0,4),(1,2),(2,4),(4,3)],5) => 3

([(0,7),(1,3),(2,4),(3,5),(3,7),(4,6),(4,7),(5,6)],8) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => ([(1,2)],3) => 1

([(0,6),(0,7),(1,3),(2,4),(3,5),(4,6),(4,7),(5,6),(5,7)],8) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => ([(1,2)],3) => 1

([(0,5),(1,5),(2,3),(3,4),(4,6),(4,7),(5,6),(5,7)],8) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(0,5),(1,4),(2,6),(2,7),(3,6),(3,7),(4,2),(5,3)],8) => ([(0,4),(0,5),(2,8),(3,7),(4,3),(4,6),(5,2),(5,6),(6,7),(6,8),(7,9),(8,9),(9,1)],10) => ([(0,3),(1,2),(2,4),(3,4)],5) => 2

([(0,3),(0,7),(1,2),(1,6),(2,7),(3,6),(6,4),(6,5),(7,4),(7,5)],8) => ([(0,4),(0,5),(1,6),(2,6),(4,7),(5,7),(6,3),(7,1),(7,2)],8) => ([(0,3),(0,4),(1,3),(1,4),(3,2),(4,2)],5) => 3

([(0,6),(0,7),(1,6),(1,7),(2,4),(2,5),(3,4),(3,5),(6,3),(7,2)],8) => ([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6) => ([(0,1),(0,2),(1,3),(2,3)],4) => 3

([(0,5),(1,3),(1,4),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,2)],8) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(4,5),(5,6),(5,7)],8) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(4,5),(4,7),(5,6)],8) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(1,6),(1,7),(2,6),(2,7),(3,4),(4,5),(4,7),(5,6)],8) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(1,7),(2,6),(2,7),(3,4),(3,7),(4,5),(5,6)],8) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(0,7),(1,7),(2,6),(2,7),(3,4),(3,7),(4,5),(5,6)],8) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(0,6),(0,7),(1,4),(2,3),(2,7),(3,5),(4,7),(5,6)],8) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => ([(1,2)],3) => 1

([(0,6),(0,7),(1,4),(2,3),(2,6),(3,7),(4,5),(4,7),(5,6)],8) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => ([(1,2)],3) => 1

([(0,5),(1,2),(1,4),(2,7),(3,6),(4,6),(4,7),(5,3),(5,7)],8) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(6,2),(6,3),(7,3),(7,4)],8) => ([(0,3),(2,1),(3,2)],4) => ([(0,2),(2,1)],3) => 3

([(0,3),(0,7),(1,2),(1,6),(1,7),(3,5),(3,6),(6,4),(7,4),(7,5)],8) => ([(0,3),(2,1),(3,2)],4) => ([(0,2),(2,1)],3) => 3

([(0,5),(1,2),(1,4),(3,6),(4,6),(4,7),(5,3),(5,7)],8) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,3),(2,1),(3,2)],4) => 4

([(0,6),(0,7),(1,4),(2,3),(2,6),(2,7),(4,5),(4,7),(5,6)],8) => ([(0,3),(0,5),(1,7),(3,6),(4,2),(5,1),(5,6),(6,7),(7,4)],8) => ([(0,4),(1,2),(2,4),(4,3)],5) => 3

([(0,6),(0,7),(1,3),(1,7),(2,4),(2,7),(4,5),(5,6)],8) => ([(0,4),(0,5),(1,6),(3,7),(4,8),(5,1),(5,8),(6,7),(7,2),(8,3),(8,6)],9) => ([(0,3),(1,2),(1,3),(2,4),(3,4)],5) => 2

([(0,6),(0,7),(1,3),(2,4),(2,6),(4,5),(5,7)],8) => ([(0,4),(0,5),(1,9),(1,10),(2,8),(2,10),(3,7),(4,6),(5,1),(5,2),(5,6),(6,8),(6,9),(8,11),(9,11),(10,3),(10,11),(11,7)],12) => ([(1,2),(1,3),(2,4),(3,4)],5) => 1

([(2,6),(2,7),(3,4),(3,6),(4,5),(5,7)],8) => ([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6) => ([(0,1),(0,2),(1,3),(2,3)],4) => 3

([(2,4),(3,5),(5,6),(6,7)],8) => ([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8) => ([(1,2),(2,3)],4) => 1

([(0,5),(1,4),(2,7),(6,3),(7,6)],8) => ([(0,3),(0,4),(0,5),(1,6),(1,7),(2,1),(2,9),(2,10),(3,8),(3,12),(4,8),(4,11),(5,2),(5,11),(5,12),(6,14),(7,14),(8,13),(9,6),(9,15),(10,7),(10,15),(11,9),(11,13),(12,10),(12,13),(13,15),(15,14)],16) => ([(2,3),(3,4)],5) => 1

([(0,7),(1,6),(2,4),(2,7),(5,3),(6,5)],8) => ([(0,4),(0,5),(1,9),(2,3),(2,11),(3,8),(4,1),(4,10),(5,2),(5,10),(7,6),(8,6),(9,7),(10,9),(10,11),(11,7),(11,8)],12) => ([(0,3),(1,4),(4,2)],5) => 1

([(0,7),(1,4),(1,6),(5,3),(6,2),(7,5)],8) => ([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8) => ([(1,2),(2,3)],4) => 1

([(0,5),(0,7),(1,2),(1,3),(1,6),(3,7),(4,6),(5,4)],8) => ([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7) => ([(0,2),(0,3),(3,1)],4) => 2

([(0,5),(0,7),(1,4),(1,6),(1,7),(5,6),(6,3),(7,2)],8) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => ([(1,2)],3) => 1

([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(4,3),(6,4),(7,2)],8) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => ([(1,2)],3) => 1

([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(5,2),(6,4),(7,4)],8) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(0,3),(0,6),(1,4),(1,6),(1,7),(3,7),(4,5),(6,5),(7,2)],8) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(0,5),(0,7),(1,2),(1,3),(1,6),(2,7),(3,7),(4,6),(5,4)],8) => ([(0,3),(2,1),(3,2)],4) => ([(0,2),(2,1)],3) => 3

([(0,6),(1,3),(1,4),(3,7),(4,7),(5,2),(6,5)],8) => ([(0,3),(2,1),(3,2)],4) => ([(0,2),(2,1)],3) => 3

([(0,7),(1,6),(2,4),(4,7),(5,3),(6,5)],8) => ([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8) => ([(1,2),(2,3)],4) => 1

([(0,4),(1,7),(2,7),(3,7),(4,6),(6,5)],8) => ([(0,3),(2,1),(3,2)],4) => ([(0,2),(2,1)],3) => 3

([(1,4),(2,7),(3,7),(4,6),(6,5)],8) => ([(0,3),(2,1),(3,2)],4) => ([(0,2),(2,1)],3) => 3

([(1,6),(2,7),(5,4),(6,5),(7,3)],8) => ([(0,4),(0,5),(1,9),(2,3),(2,11),(3,8),(4,1),(4,10),(5,2),(5,10),(7,6),(8,6),(9,7),(10,9),(10,11),(11,7),(11,8)],12) => ([(0,3),(1,4),(4,2)],5) => 1

([(0,7),(1,7),(2,6),(5,3),(6,5),(7,4)],8) => ([(0,3),(2,1),(3,2)],4) => ([(0,2),(2,1)],3) => 3

([(0,6),(0,7),(1,6),(1,7),(4,3),(5,2),(6,4),(7,5)],8) => ([(0,5),(1,8),(2,7),(3,2),(3,6),(4,1),(4,6),(5,3),(5,4),(6,7),(6,8),(7,9),(8,9)],10) => ([(0,3),(0,4),(3,2),(4,1)],5) => 2

([(0,6),(0,7),(1,6),(1,7),(2,5),(3,4),(6,3),(6,5),(7,2),(7,4)],8) => ([(0,5),(1,7),(2,7),(3,6),(4,6),(5,1),(5,2),(7,3),(7,4)],8) => ([(0,1),(0,2),(1,3),(1,4),(2,3),(2,4)],5) => 3

([(0,5),(0,7),(1,5),(1,7),(2,3),(3,4),(3,6),(4,7),(5,6)],8) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(0,5),(1,5),(1,6),(2,3),(2,7),(3,4),(4,6),(5,7)],8) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(0,7),(1,3),(1,7),(2,4),(2,6),(3,5),(4,7),(5,6)],8) => ([(0,3),(0,4),(2,6),(3,5),(4,2),(4,5),(5,6),(6,1)],7) => ([(0,3),(1,2),(2,3)],4) => 2

([(1,4),(1,7),(2,3),(2,6),(3,7),(4,5),(5,6)],8) => ([(0,4),(0,5),(1,7),(2,9),(3,6),(4,8),(5,2),(5,8),(6,7),(8,3),(8,9),(9,1),(9,6)],10) => ([(0,3),(0,4),(1,2),(1,3),(2,4)],5) => 1

([(1,6),(1,7),(2,3),(2,6),(3,7),(6,5),(7,4)],8) => ([(0,4),(1,7),(2,6),(3,1),(3,6),(4,5),(5,2),(5,3),(6,7)],8) => ([(0,4),(3,2),(4,1),(4,3)],5) => 3

([(0,6),(1,5),(1,7),(2,3),(2,5),(3,7),(5,6),(7,4)],8) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,3),(2,1),(3,2)],4) => 4

([(0,5),(1,4),(4,6),(4,7),(5,6),(5,7),(6,3),(7,2)],8) => ([(0,3),(0,4),(1,6),(2,6),(3,7),(4,7),(5,1),(5,2),(7,5)],8) => ([(0,4),(1,4),(4,2),(4,3)],5) => 3

([(0,6),(0,7),(1,6),(1,7),(4,3),(5,2),(6,4),(6,5),(7,4),(7,5)],8) => ([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6) => ([(0,3),(3,1),(3,2)],4) => 3

([(0,5),(0,6),(0,7),(1,4),(1,6),(1,7),(2,3),(2,6),(3,5),(3,7),(5,4)],8) => ([(0,3),(2,1),(3,2)],4) => ([(0,2),(2,1)],3) => 3

([(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,6),(2,7),(3,5),(5,4)],8) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,3),(2,1),(3,2)],4) => 4

([(0,7),(1,5),(1,6),(1,7),(2,3),(2,5),(2,7),(3,6),(6,4)],8) => ([(0,4),(1,7),(2,6),(3,1),(3,6),(4,5),(5,2),(5,3),(6,7)],8) => ([(0,4),(3,2),(4,1),(4,3)],5) => 3

([(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(3,7),(7,4)],8) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(1,4),(1,6),(2,3),(2,6),(2,7),(4,5),(5,7)],8) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(0,5),(1,5),(1,6),(1,7),(2,3),(2,6),(3,4),(4,7)],8) => ([(0,5),(1,7),(2,8),(3,6),(4,3),(4,8),(5,2),(5,4),(6,7),(8,1),(8,6)],9) => ([(0,2),(0,3),(2,4),(3,1),(3,4)],5) => 2

([(0,5),(0,7),(1,5),(1,6),(1,7),(2,3),(2,7),(3,4),(4,6)],8) => ([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6) => ([(0,1),(0,2),(1,3),(2,3)],4) => 3

([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(3,4),(3,7),(4,6)],8) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,3),(2,1),(3,2)],4) => 4

([(0,6),(0,7),(1,6),(1,7),(5,4),(6,5),(7,2),(7,3)],8) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(0,4),(0,7),(1,3),(1,5),(1,6),(3,7),(4,5),(4,6),(7,2)],8) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(0,5),(0,7),(1,4),(1,6),(3,7),(4,3),(5,2),(5,6)],8) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(0,6),(1,7),(5,4),(6,5),(7,2),(7,3)],8) => ([(0,3),(2,1),(3,2)],4) => ([(0,2),(2,1)],3) => 3

([(0,3),(1,6),(1,7),(2,6),(2,7),(3,5),(5,4)],8) => ([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8) => ([(1,2),(2,3)],4) => 1

([(1,7),(2,4),(2,5),(6,3),(7,6)],8) => ([(0,3),(2,1),(3,2)],4) => ([(0,2),(2,1)],3) => 3

([(0,4),(0,7),(1,5),(1,6),(1,7),(3,6),(4,3),(5,2)],8) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => ([(1,2)],3) => 1

([(0,4),(0,6),(0,7),(1,3),(1,5),(1,6),(3,7),(4,5),(7,2)],8) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => ([(1,2)],3) => 1

([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(7,2)],8) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(0,4),(0,5),(0,6),(1,3),(1,5),(1,6),(1,7),(4,7),(7,2)],8) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(0,5),(0,7),(1,2),(1,3),(1,6),(1,7),(4,6),(5,4)],8) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(0,7),(1,3),(1,4),(1,5),(6,2),(7,6)],8) => ([(0,3),(2,1),(3,2)],4) => ([(0,2),(2,1)],3) => 3

([(4,5),(5,7),(7,6)],8) => ([(0,3),(2,1),(3,2)],4) => ([(0,2),(2,1)],3) => 3

([(0,3),(0,4),(1,6),(1,8),(2,6),(2,7),(3,5),(4,1),(4,2),(4,5),(5,7),(5,8),(6,9),(7,9),(8,9)],10) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(2,4),(2,5),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7)],8) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(2,5),(3,4),(4,6),(4,7),(5,6),(5,7)],8) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => ([(0,2),(1,2)],3) => 2

([(0,7),(1,6),(2,5),(3,4),(4,6),(4,7),(5,6),(5,7)],8) => ([(0,1),(0,2),(1,3),(2,3)],4) => ([],2) => 1

([(0,6),(0,7),(1,6),(1,7),(2,5),(3,4),(4,6),(4,7),(5,6),(5,7)],8) => ([(0,1),(0,2),(1,3),(2,3)],4) => ([],2) => 1

([(0,6),(0,7),(1,6),(1,7),(2,5),(3,4),(4,6),(5,7)],8) => ([(0,1),(0,2),(1,3),(2,3)],4) => ([],2) => 1

([(0,6),(0,7),(1,6),(1,7),(2,5),(2,7),(3,4),(3,6),(4,7),(5,6)],8) => ([(0,1),(0,2),(1,3),(2,3)],4) => ([],2) => 1

([(0,6),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7)],8) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => ([(0,2),(1,2)],3) => 2

([(0,6),(0,7),(1,6),(1,7),(2,5),(2,7),(3,4),(3,6)],8) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => ([(0,2),(1,2)],3) => 2

([(0,6),(0,7),(1,6),(1,7),(2,5),(3,4)],8) => ([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(4,7),(5,7),(6,7)],8) => ([],3) => 1

([(4,7),(5,6)],8) => ([(0,1),(0,2),(1,3),(2,3)],4) => ([],2) => 1

([(0,7),(1,6),(2,5),(3,4)],8) => ([(0,1),(0,2),(0,3),(0,4),(1,8),(1,9),(1,10),(2,6),(2,7),(2,10),(3,5),(3,7),(3,9),(4,5),(4,6),(4,8),(5,11),(5,14),(6,11),(6,12),(7,11),(7,13),(8,12),(8,14),(9,13),(9,14),(10,12),(10,13),(11,15),(12,15),(13,15),(14,15)],16) => ([],4) => 1

([(0,7),(1,6),(2,4),(2,6),(3,5),(3,7)],8) => ([(0,3),(0,4),(1,7),(2,6),(3,2),(3,5),(4,1),(4,5),(5,6),(5,7),(6,8),(7,8)],9) => ([(0,3),(1,2)],4) => 1

([(0,5),(0,7),(1,4),(1,6),(6,2),(7,3)],8) => ([(0,1),(0,2),(1,3),(2,3)],4) => ([],2) => 1

([(0,3),(0,5),(0,7),(1,2),(1,4),(1,6),(4,7),(5,6)],8) => ([(0,1),(0,2),(1,3),(2,3)],4) => ([],2) => 1

([(0,5),(0,6),(0,7),(1,4),(1,6),(1,7),(6,3),(7,2)],8) => ([(0,1),(0,2),(1,3),(2,3)],4) => ([],2) => 1

([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(6,3),(7,2)],8) => ([(0,1),(0,2),(1,3),(2,3)],4) => ([],2) => 1

([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7)],8) => ([(0,1),(0,2),(1,3),(2,3)],4) => ([],2) => 1

([(2,5),(3,4),(4,6),(5,7)],8) => ([(0,3),(0,4),(1,7),(2,6),(3,2),(3,5),(4,1),(4,5),(5,6),(5,7),(6,8),(7,8)],9) => ([(0,3),(1,2)],4) => 1

([(0,7),(1,6),(2,5),(2,6),(3,4),(3,7),(4,6),(5,7)],8) => ([(0,1),(0,2),(1,3),(2,3)],4) => ([],2) => 1

([(2,5),(2,7),(3,4),(3,6),(4,7),(5,6)],8) => ([(0,3),(0,4),(1,5),(2,5),(3,6),(4,6),(6,1),(6,2)],7) => ([(0,2),(0,3),(1,2),(1,3)],4) => 2

([(2,6),(2,7),(3,6),(3,7),(6,5),(7,4)],8) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => ([(0,1),(0,2)],3) => 2

([(0,7),(1,6),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => ([(0,1),(0,2)],3) => 2

([(0,5),(1,4),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7)],8) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => ([(0,1),(0,2)],3) => 2

([(0,6),(0,7),(1,4),(1,5),(2,4),(2,5),(3,6),(3,7)],8) => ([(0,1),(0,2),(1,3),(2,3)],4) => ([],2) => 1

([(0,5),(0,6),(0,7),(1,4),(1,6),(1,7),(4,2),(5,3)],8) => ([(0,1),(0,2),(1,3),(2,3)],4) => ([],2) => 1

([(0,3),(0,5),(0,6),(0,7),(1,2),(1,4),(1,6),(1,7),(2,5),(3,4)],8) => ([(0,1),(0,2),(1,3),(2,3)],4) => ([],2) => 1

([(0,2),(0,3),(0,4),(1,7),(2,6),(2,8),(3,5),(3,8),(4,5),(4,6),(5,9),(6,9),(8,1),(8,9),(9,7)],10) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(0,5),(1,8),(2,7),(2,9),(3,6),(3,9),(4,6),(4,7),(5,2),(5,3),(5,4),(6,10),(7,10),(9,1),(9,10),(10,8)],11) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(0,4),(0,5),(1,9),(1,10),(2,8),(2,10),(3,7),(4,6),(5,1),(5,2),(5,6),(6,8),(6,9),(8,11),(9,11),(10,3),(10,11),(11,7)],12) => ([(0,3),(2,1),(3,2)],4) => ([(0,2),(2,1)],3) => 3

([(0,3),(0,4),(0,5),(1,6),(1,7),(2,1),(2,9),(2,10),(3,8),(3,12),(4,8),(4,11),(5,2),(5,11),(5,12),(6,14),(7,14),(8,13),(9,6),(9,15),(10,7),(10,15),(11,9),(11,13),(12,10),(12,13),(13,15),(15,14)],16) => ([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6) => ([(0,1),(0,2),(1,3),(2,3)],4) => 3

([(0,3),(0,4),(1,6),(1,9),(2,6),(2,8),(3,7),(4,5),(4,7),(5,1),(5,2),(5,10),(6,11),(7,10),(8,11),(9,11),(10,8),(10,9)],12) => ([(0,3),(2,1),(3,2)],4) => ([(0,2),(2,1)],3) => 3

([(0,2),(0,3),(0,4),(1,10),(2,6),(2,7),(3,7),(3,8),(4,6),(4,8),(5,1),(5,9),(6,11),(7,11),(8,5),(8,11),(9,10),(11,9)],12) => ([(0,3),(2,1),(3,2)],4) => ([(0,2),(2,1)],3) => 3

([(0,3),(0,4),(0,5),(1,10),(2,7),(2,8),(3,9),(3,12),(4,9),(4,11),(5,2),(5,11),(5,12),(7,14),(8,14),(9,1),(9,13),(10,6),(11,7),(11,13),(12,8),(12,13),(13,10),(13,14),(14,6)],15) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(0,3),(0,4),(0,5),(1,11),(2,10),(3,8),(3,9),(4,7),(4,8),(5,7),(5,9),(7,12),(8,2),(8,12),(9,1),(9,12),(10,6),(11,6),(12,10),(12,11)],13) => ([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6) => ([(0,1),(0,2),(1,3),(2,3)],4) => 3

([(0,3),(0,4),(0,5),(1,9),(2,8),(3,7),(3,10),(4,6),(4,10),(5,6),(5,7),(6,11),(7,11),(8,9),(10,2),(10,11),(11,1),(11,8)],12) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(0,3),(0,4),(0,5),(2,9),(3,7),(3,8),(4,6),(4,8),(5,6),(5,7),(6,10),(7,10),(8,2),(8,10),(9,1),(10,9)],11) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(0,3),(0,4),(0,5),(1,6),(1,7),(2,8),(2,10),(3,9),(3,11),(4,9),(4,12),(5,2),(5,11),(5,12),(6,14),(7,14),(8,13),(9,15),(10,6),(10,13),(11,8),(11,15),(12,1),(12,10),(12,15),(13,14),(15,7),(15,13)],16) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,3),(2,1),(3,2)],4) => 4

([(0,2),(0,3),(1,11),(2,1),(2,12),(3,4),(3,5),(3,12),(4,8),(4,10),(5,8),(5,9),(6,14),(7,14),(8,13),(9,6),(9,13),(10,7),(10,13),(11,6),(11,7),(12,9),(12,10),(12,11),(13,14)],15) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(0,4),(0,5),(1,8),(2,7),(2,9),(3,7),(3,10),(4,6),(5,2),(5,3),(5,6),(6,9),(6,10),(7,11),(9,11),(10,1),(10,11),(11,8)],12) => ([(0,3),(2,1),(3,2)],4) => ([(0,2),(2,1)],3) => 3

([(0,4),(0,5),(2,7),(2,9),(3,7),(3,8),(4,6),(5,2),(5,3),(5,6),(6,8),(6,9),(7,10),(8,10),(9,10),(10,1)],11) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(0,4),(0,5),(1,7),(1,9),(2,7),(2,8),(3,6),(4,10),(5,3),(5,10),(6,8),(6,9),(7,11),(8,11),(9,11),(10,1),(10,2),(10,6)],12) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(0,2),(0,7),(3,4),(4,6),(5,3),(6,1),(7,5)],8) => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => ([(0,4),(2,3),(3,1),(4,2)],5) => 5

([(0,2),(0,6),(2,7),(3,5),(4,3),(5,1),(6,4),(6,7)],8) => ([(0,5),(1,6),(2,7),(3,4),(3,6),(4,2),(4,8),(5,1),(5,3),(6,8),(8,7)],9) => ([(0,2),(0,4),(3,1),(4,3)],5) => 2

([(0,6),(0,7),(3,5),(4,3),(5,2),(6,4),(7,1)],8) => ([(0,2),(0,5),(1,7),(2,6),(3,4),(3,9),(4,1),(4,8),(5,3),(5,6),(6,9),(8,7),(9,8)],10) => ([(1,4),(3,2),(4,3)],5) => 1

([(0,2),(0,5),(2,6),(3,4),(3,7),(4,1),(5,3),(5,6),(6,7)],8) => ([(0,5),(1,7),(2,8),(3,6),(4,3),(4,8),(5,2),(5,4),(6,7),(8,1),(8,6)],9) => ([(0,2),(0,3),(2,4),(3,1),(3,4)],5) => 2

([(0,5),(0,6),(3,4),(4,2),(5,3),(5,7),(6,1),(6,7)],8) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(0,6),(0,7),(3,4),(4,1),(5,2),(6,5),(7,3)],8) => ([(0,4),(0,5),(1,9),(2,3),(2,11),(3,8),(4,1),(4,10),(5,2),(5,10),(7,6),(8,6),(9,7),(10,9),(10,11),(11,7),(11,8)],12) => ([(0,3),(1,4),(4,2)],5) => 1

([(0,4),(0,5),(3,2),(3,7),(4,3),(4,6),(5,1),(5,6),(6,7)],8) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(0,5),(0,6),(3,2),(4,1),(5,3),(5,7),(6,4),(6,7)],8) => ([(0,1),(0,2),(1,3),(2,3)],4) => ([],2) => 1

([(0,2),(0,8),(3,5),(4,3),(5,7),(6,4),(7,1),(8,6)],9) => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 6

([(0,6),(0,7),(3,5),(4,3),(5,2),(6,4),(6,8),(7,1),(7,8)],9) => ([(0,3),(2,1),(3,2)],4) => ([(0,2),(2,1)],3) => 3

([(0,5),(0,6),(3,4),(3,8),(4,2),(5,3),(5,7),(6,1),(6,7),(7,8)],9) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => ([(0,1),(0,2)],3) => 2

([(0,5),(0,6),(2,8),(3,4),(4,1),(5,3),(5,7),(6,2),(6,7),(7,8)],9) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(0,6),(0,7),(3,4),(4,1),(5,2),(6,5),(6,8),(7,3),(7,8)],9) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => ([(1,2)],3) => 1

([(0,4),(0,5),(2,7),(3,2),(3,8),(4,3),(4,6),(5,1),(5,6),(6,8),(8,7)],9) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(0,4),(0,5),(2,7),(3,1),(3,8),(4,2),(4,6),(5,3),(5,6),(6,7),(6,8)],9) => ([(0,3),(2,1),(3,2)],4) => ([(0,2),(2,1)],3) => 3

([(0,5),(0,6),(3,1),(4,2),(4,8),(5,3),(5,7),(6,4),(6,7),(7,8)],9) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => ([(1,2)],3) => 1

([(0,7),(0,8),(3,4),(4,6),(5,3),(6,2),(7,5),(7,9),(8,1),(8,9)],10) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,3),(2,1),(3,2)],4) => 4

([(0,6),(0,7),(3,5),(4,3),(4,9),(5,2),(6,4),(6,8),(7,1),(7,8),(8,9)],10) => ([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7) => ([(0,2),(0,3),(3,1)],4) => 2

([(0,6),(0,7),(2,9),(3,5),(4,3),(5,1),(6,4),(6,8),(7,2),(7,8),(8,9)],10) => ([(0,3),(2,1),(3,2)],4) => ([(0,2),(2,1)],3) => 3

([(0,7),(0,8),(3,5),(4,3),(5,2),(6,1),(7,6),(7,9),(8,4),(8,9)],10) => ([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8) => ([(1,2),(2,3)],4) => 1

([(0,5),(0,6),(3,4),(3,9),(4,2),(4,8),(5,3),(5,7),(6,1),(6,7),(7,9),(9,8)],10) => ([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6) => ([(0,1),(0,2),(1,3),(2,3)],4) => 3

([(0,5),(0,6),(2,9),(3,1),(4,3),(4,8),(5,4),(5,7),(6,2),(6,7),(7,8),(7,9)],10) => ([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7) => ([(0,2),(0,3),(3,1)],4) => 2

([(0,6),(0,7),(3,4),(3,9),(4,1),(5,2),(6,5),(6,8),(7,3),(7,8),(8,9)],10) => ([(0,3),(0,4),(1,6),(1,8),(2,6),(2,7),(3,5),(4,1),(4,2),(4,5),(5,7),(5,8),(6,9),(7,9),(8,9)],10) => ([(1,2),(1,3)],4) => 1

([(0,6),(0,7),(3,4),(4,1),(5,2),(5,9),(6,5),(6,8),(7,3),(7,8),(8,9)],10) => ([(0,3),(0,4),(1,7),(2,6),(3,2),(3,5),(4,1),(4,5),(5,6),(5,7),(6,8),(7,8)],9) => ([(0,3),(1,2)],4) => 1

([(0,7),(0,8),(3,5),(4,6),(5,2),(6,1),(7,3),(7,9),(8,4),(8,9)],10) => ([(0,3),(0,4),(1,7),(2,6),(3,2),(3,5),(4,1),(4,5),(5,6),(5,7),(6,8),(7,8)],9) => ([(0,3),(1,2)],4) => 1

([(0,4),(0,5),(1,8),(2,7),(3,2),(3,9),(4,3),(4,6),(5,1),(5,6),(6,8),(6,9),(9,7)],10) => ([(0,3),(2,1),(3,2)],4) => ([(0,2),(2,1)],3) => 3

([(0,5),(0,6),(2,8),(3,1),(4,2),(4,9),(5,3),(5,7),(6,4),(6,7),(7,9),(9,8)],10) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => ([(1,2)],3) => 1

([(0,4),(0,5),(2,7),(3,1),(3,8),(4,2),(4,6),(5,3),(5,6),(6,7),(6,8),(7,9),(8,9)],10) => ([(0,3),(2,1),(3,2)],4) => ([(0,2),(2,1)],3) => 3

([(0,6),(1,5),(2,7),(7,3),(7,4)],8) => ([(0,1),(0,2),(1,3),(2,3)],4) => ([],2) => 1

([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4)],8) => ([(0,1),(0,2),(1,3),(2,3)],4) => ([],2) => 1

([(0,6),(0,7),(1,5),(1,7),(2,5),(2,6),(2,7),(3,4)],8) => ([(0,1),(0,2),(1,3),(2,3)],4) => ([],2) => 1

([(0,4),(1,5),(1,6),(2,7),(3,7),(5,3),(6,2)],8) => ([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(4,7),(5,7),(6,7)],8) => ([],3) => 1

([(0,6),(0,7),(1,4),(1,5),(1,6),(2,7),(3,7),(4,3),(5,2)],8) => ([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(4,7),(5,7),(6,7)],8) => ([],3) => 1

([(0,2),(0,3),(0,4),(1,7),(2,5),(2,6),(3,5),(3,6),(4,1),(5,7),(6,7)],8) => ([(0,1),(0,2),(1,3),(2,3)],4) => ([],2) => 1

([(0,6),(0,7),(1,2),(1,3),(1,6),(2,4),(2,5),(3,4),(3,5),(4,7),(5,7)],8) => ([(0,1),(0,2),(1,3),(2,3)],4) => ([],2) => 1

([(0,4),(1,2),(1,3),(2,5),(2,6),(3,5),(3,6),(5,7),(6,7)],8) => ([(0,1),(0,2),(1,3),(2,3)],4) => ([],2) => 1

([(0,6),(0,7),(1,3),(2,5),(5,6),(5,7),(7,4)],8) => ([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8) => ([(1,2),(2,3)],4) => 1

([(0,7),(1,7),(2,5),(6,3),(6,4),(7,6)],8) => ([(0,1),(0,2),(1,3),(2,3)],4) => ([],2) => 1

([(0,2),(0,4),(1,5),(2,5),(2,6),(3,1),(4,3),(4,6),(5,7),(6,7)],8) => ([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6) => ([(0,1),(0,2),(1,3),(2,3)],4) => 3

([(0,6),(0,7),(1,5),(3,7),(4,3),(5,4),(5,6),(7,2)],8) => ([(0,5),(2,7),(3,7),(4,1),(5,6),(6,2),(6,3),(7,4)],8) => ([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6) => 5

([(0,3),(0,5),(1,4),(1,5),(2,6),(2,7),(3,6),(3,7),(7,4)],8) => ([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6) => ([(0,1),(0,2),(1,3),(2,3)],4) => 3

([(0,6),(0,7),(1,5),(1,7),(2,3),(2,5),(2,6),(3,4),(4,7)],8) => ([(0,5),(2,7),(2,8),(3,6),(3,8),(4,6),(4,7),(5,2),(5,3),(5,4),(6,9),(7,9),(8,9),(9,1)],10) => ([(0,1),(0,2),(0,3),(1,4),(2,4),(3,4)],5) => 3

([(0,6),(0,7),(1,3),(1,4),(2,5),(3,6),(3,7),(4,2),(7,5)],8) => ([(0,1),(0,2),(1,3),(2,3)],4) => ([],2) => 1

([(0,3),(0,6),(1,6),(1,7),(2,4),(2,5),(3,4),(3,7),(6,2),(7,5)],8) => ([(0,5),(2,7),(3,7),(4,1),(5,6),(6,2),(6,3),(7,4)],8) => ([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6) => 5

([(0,6),(0,7),(1,5),(1,7),(2,4),(4,5),(4,6),(4,7),(7,3)],8) => ([(0,3),(2,1),(3,2)],4) => ([(0,2),(2,1)],3) => 3

([(0,6),(0,7),(1,4),(3,6),(3,7),(4,3),(5,2),(7,5)],8) => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => ([(0,4),(2,3),(3,1),(4,2)],5) => 5

([(0,5),(0,7),(1,5),(1,6),(1,7),(2,4),(4,6),(4,7),(6,3)],8) => ([(0,3),(2,1),(3,2)],4) => ([(0,2),(2,1)],3) => 3

([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(3,4),(4,7)],8) => ([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6) => ([(0,1),(0,2),(1,3),(2,3)],4) => 3

([(0,4),(0,7),(1,2),(1,3),(2,5),(3,5),(3,7),(5,6),(7,6)],8) => ([(0,3),(2,1),(3,2)],4) => ([(0,2),(2,1)],3) => 3

([(0,3),(0,7),(1,4),(1,7),(2,6),(4,2),(4,5),(5,6),(7,5)],8) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(0,3),(0,7),(1,4),(1,7),(3,5),(4,2),(4,6),(7,5),(7,6)],8) => ([(0,3),(2,1),(3,2)],4) => ([(0,2),(2,1)],3) => 3

([(0,7),(1,3),(1,4),(3,5),(3,7),(4,2),(4,5),(5,6),(7,6)],8) => ([(0,3),(2,1),(3,2)],4) => ([(0,2),(2,1)],3) => 3

([(0,3),(0,8),(1,4),(1,8),(3,6),(4,2),(4,7),(6,5),(7,5),(8,6),(8,7)],9) => ([(0,3),(2,1),(3,2)],4) => ([(0,2),(2,1)],3) => 3

([(0,7),(1,3),(1,4),(2,6),(2,7),(3,5),(4,2),(4,5),(5,6)],8) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(0,7),(1,3),(1,4),(2,6),(3,5),(3,7),(4,2),(4,5),(5,6)],8) => ([(0,3),(2,1),(3,2)],4) => ([(0,2),(2,1)],3) => 3

([(0,3),(1,4),(1,7),(2,6),(3,7),(4,2),(4,5),(5,6),(7,5)],8) => ([(0,4),(0,5),(1,6),(3,7),(4,8),(5,1),(5,8),(6,7),(7,2),(8,3),(8,6)],9) => ([(0,3),(1,2),(1,3),(2,4),(3,4)],5) => 2

([(0,6),(1,3),(1,7),(2,6),(2,7),(3,5),(6,4),(7,4),(7,5)],8) => ([(0,3),(2,1),(3,2)],4) => ([(0,2),(2,1)],3) => 3

([(0,7),(1,6),(2,3),(2,7),(3,5),(3,6),(5,4),(6,4),(7,5)],8) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(0,2),(0,3),(1,7),(2,8),(3,4),(3,8),(4,6),(4,7),(6,5),(7,5),(8,6)],9) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(0,3),(0,4),(1,7),(2,6),(3,2),(3,8),(4,7),(4,8),(7,5),(8,5),(8,6)],9) => ([(0,3),(2,1),(3,2)],4) => ([(0,2),(2,1)],3) => 3

([(0,7),(1,3),(1,8),(2,7),(2,8),(3,6),(5,4),(6,4),(7,5),(8,5),(8,6)],9) => ([(0,3),(2,1),(3,2)],4) => ([(0,2),(2,1)],3) => 3

([(0,3),(0,4),(1,7),(2,8),(3,2),(3,9),(4,7),(4,9),(6,5),(7,6),(8,5),(9,6),(9,8)],10) => ([(0,3),(2,1),(3,2)],4) => ([(0,2),(2,1)],3) => 3

([(0,4),(0,7),(1,2),(1,3),(2,5),(3,5),(3,7),(4,6),(7,6)],8) => ([(0,3),(2,1),(3,2)],4) => ([(0,2),(2,1)],3) => 3

([(0,3),(0,4),(1,2),(1,8),(2,6),(3,7),(4,7),(4,8),(7,5),(8,5),(8,6)],9) => ([(0,3),(2,1),(3,2)],4) => ([(0,2),(2,1)],3) => 3

([(0,3),(0,8),(1,4),(1,8),(2,5),(3,6),(4,2),(4,7),(7,5),(8,6),(8,7)],9) => ([(0,3),(2,1),(3,2)],4) => ([(0,2),(2,1)],3) => 3

([(0,3),(0,9),(1,4),(1,9),(2,5),(3,2),(3,8),(4,7),(7,6),(8,5),(8,6),(9,7),(9,8)],10) => ([(0,3),(2,1),(3,2)],4) => ([(0,2),(2,1)],3) => 3

([(0,4),(0,5),(1,8),(2,7),(3,2),(3,9),(4,3),(4,6),(5,1),(5,6),(6,8),(6,9),(8,10),(9,7),(9,10)],11) => ([(0,3),(2,1),(3,2)],4) => ([(0,2),(2,1)],3) => 3

([(0,3),(0,4),(1,2),(1,9),(2,8),(3,7),(4,7),(4,9),(6,5),(7,6),(8,5),(9,6),(9,8)],10) => ([(0,3),(2,1),(3,2)],4) => ([(0,2),(2,1)],3) => 3

([(0,3),(0,10),(1,4),(1,10),(2,7),(3,8),(4,2),(4,9),(6,5),(7,5),(8,6),(9,6),(9,7),(10,8),(10,9)],11) => ([(0,3),(2,1),(3,2)],4) => ([(0,2),(2,1)],3) => 3

([(0,5),(1,3),(1,7),(2,7),(3,6),(4,2),(5,4),(7,6)],8) => ([(0,3),(0,5),(2,8),(3,6),(4,2),(4,7),(5,4),(5,6),(6,7),(7,8),(8,1)],9) => ([(0,4),(1,2),(2,3),(3,4)],5) => 2

([(0,5),(1,5),(1,6),(2,3),(3,4),(4,6),(5,7),(6,7)],8) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(0,6),(0,7),(1,4),(2,3),(3,6),(4,7),(6,5),(7,5)],8) => ([(0,1),(0,2),(1,3),(2,3)],4) => ([],2) => 1

([(0,3),(1,6),(2,6),(2,8),(3,5),(4,8),(5,4),(6,7),(8,7)],9) => ([(0,3),(2,1),(3,2)],4) => ([(0,2),(2,1)],3) => 3

([(0,3),(1,7),(2,4),(2,8),(3,8),(4,6),(4,7),(6,5),(7,5),(8,6)],9) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => ([(0,2),(1,2)],3) => 2

([(0,5),(1,3),(1,4),(2,6),(3,7),(4,6),(4,7),(5,2),(6,8),(7,8)],9) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(0,6),(0,8),(1,3),(2,4),(3,8),(4,5),(5,6),(6,7),(8,7)],9) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => ([(1,2)],3) => 1

([(0,3),(1,8),(2,4),(2,8),(3,7),(4,6),(4,7),(6,5),(7,5),(8,6)],9) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => ([(1,2)],3) => 1

([(0,9),(1,8),(1,9),(2,6),(3,8),(4,5),(5,3),(6,4),(8,7),(9,7)],10) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,3),(2,1),(3,2)],4) => 4

([(0,3),(1,8),(2,5),(2,9),(3,4),(4,9),(5,7),(5,8),(7,6),(8,6),(9,7)],10) => ([(0,3),(0,4),(2,6),(3,5),(4,2),(4,5),(5,6),(6,1)],7) => ([(0,3),(1,2),(2,3)],4) => 2

([(0,6),(1,3),(1,4),(2,7),(3,8),(4,7),(4,8),(5,2),(6,5),(7,9),(8,9)],10) => ([(0,3),(2,1),(3,2)],4) => ([(0,2),(2,1)],3) => 3

([(0,7),(0,8),(1,6),(2,4),(3,7),(4,8),(5,3),(6,5),(7,9),(8,9)],10) => ([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8) => ([(1,2),(2,3)],4) => 1

([(0,9),(1,8),(2,3),(2,9),(3,4),(3,7),(4,6),(4,8),(6,5),(7,6),(8,5),(9,7)],10) => ([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6) => ([(0,1),(0,2),(1,3),(2,3)],4) => 3

([(0,4),(1,3),(1,9),(2,7),(2,9),(3,8),(4,7),(6,5),(7,6),(8,5),(9,6),(9,8)],10) => ([(0,3),(0,4),(2,6),(3,5),(4,2),(4,5),(5,6),(6,1)],7) => ([(0,3),(1,2),(2,3)],4) => 2

([(0,3),(1,4),(2,5),(2,9),(3,8),(4,9),(5,7),(5,8),(7,6),(8,6),(9,7)],10) => ([(0,2),(0,3),(0,4),(1,7),(2,6),(2,8),(3,5),(3,8),(4,5),(4,6),(5,9),(6,9),(8,1),(8,9),(9,7)],10) => ([(1,3),(2,3)],4) => 1

([(0,3),(1,9),(2,5),(2,9),(3,4),(4,8),(5,7),(5,8),(7,6),(8,6),(9,7)],10) => ([(0,3),(0,4),(1,7),(2,6),(3,2),(3,5),(4,1),(4,5),(5,6),(5,7),(6,8),(7,8)],9) => ([(0,3),(1,2)],4) => 1

([(0,7),(0,8),(1,6),(2,5),(3,7),(4,8),(5,3),(6,4),(7,9),(8,9)],10) => ([(0,3),(0,4),(1,7),(2,6),(3,2),(3,5),(4,1),(4,5),(5,6),(5,7),(6,8),(7,8)],9) => ([(0,3),(1,2)],4) => 1

([(0,4),(1,3),(1,5),(2,6),(2,8),(3,7),(4,6),(5,2),(5,7),(6,9),(7,8),(8,9)],10) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => ([(1,2)],3) => 1

([(0,4),(0,5),(0,6),(2,9),(3,8),(4,10),(4,11),(5,7),(5,10),(6,7),(6,11),(7,13),(8,12),(9,12),(10,3),(10,13),(11,2),(11,13),(12,1),(13,8),(13,9)],14) => ([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6) => ([(0,1),(0,2),(1,3),(2,3)],4) => 3

([(0,6),(0,7),(2,12),(2,13),(3,11),(3,12),(4,10),(5,9),(6,8),(7,2),(7,3),(7,8),(8,11),(8,13),(9,14),(10,14),(11,15),(12,5),(12,15),(13,4),(13,15),(14,1),(15,9),(15,10)],16) => ([(0,4),(1,6),(2,6),(4,5),(5,1),(5,2),(6,3)],7) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => 4

([(0,6),(0,7),(1,10),(2,8),(3,8),(4,2),(5,4),(6,5),(6,9),(7,1),(7,9),(9,10),(10,3)],11) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(0,4),(0,8),(1,12),(2,9),(3,9),(4,11),(5,6),(6,3),(7,5),(7,10),(8,7),(8,11),(10,12),(11,1),(11,10),(12,2)],13) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(0,7),(0,8),(2,13),(3,14),(4,6),(4,17),(5,9),(6,10),(7,3),(7,16),(8,4),(8,16),(9,1),(10,11),(11,12),(12,9),(13,5),(13,12),(14,2),(14,15),(15,11),(15,13),(16,14),(16,17),(17,10),(17,15)],18) => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 6

([(0,8),(0,9),(2,7),(2,19),(3,15),(4,16),(5,10),(6,12),(7,6),(7,17),(8,14),(9,2),(9,14),(10,1),(11,13),(12,11),(13,10),(14,3),(14,19),(15,4),(15,18),(16,5),(16,13),(17,12),(17,18),(18,11),(18,16),(19,15),(19,17)],20) => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 6

([(0,5),(0,6),(0,7),(2,13),(3,14),(4,8),(4,9),(5,11),(5,16),(6,11),(6,15),(7,4),(7,15),(7,16),(8,18),(9,2),(9,18),(10,1),(11,3),(11,17),(12,10),(13,10),(14,12),(15,9),(15,17),(16,8),(16,17),(17,14),(17,18),(18,12),(18,13)],19) => ([(0,3),(2,1),(3,2)],4) => ([(0,2),(2,1)],3) => 3

([(0,6),(0,7),(0,8),(2,17),(3,16),(4,9),(4,12),(5,10),(5,15),(6,13),(6,19),(7,13),(7,18),(8,5),(8,18),(8,19),(9,3),(9,22),(10,2),(10,21),(11,1),(12,22),(13,20),(14,11),(15,9),(15,21),(16,11),(17,14),(18,4),(18,15),(18,20),(19,10),(19,20),(20,12),(20,21),(21,17),(21,22),(22,14),(22,16)],23) => ([(0,6),(2,8),(3,8),(4,7),(5,1),(6,4),(7,2),(7,3),(8,5)],9) => ([(0,4),(1,6),(2,6),(4,5),(5,1),(5,2),(6,3)],7) => 6

([(0,4),(0,5),(2,20),(3,19),(4,21),(5,6),(5,7),(5,21),(6,9),(6,17),(6,18),(7,11),(7,18),(8,12),(8,14),(9,13),(9,15),(10,1),(11,22),(12,24),(13,3),(13,23),(14,2),(14,24),(15,14),(15,23),(16,10),(17,13),(17,22),(18,8),(18,15),(18,22),(19,16),(20,10),(21,11),(21,17),(22,12),(22,23),(23,19),(23,24),(24,16),(24,20)],25) => ([(0,6),(2,8),(3,8),(4,7),(5,1),(6,4),(7,2),(7,3),(8,5)],9) => ([(0,4),(1,6),(2,6),(4,5),(5,1),(5,2),(6,3)],7) => 6

([(0,5),(0,6),(2,17),(3,16),(4,18),(5,7),(5,8),(5,19),(6,4),(6,19),(7,12),(7,14),(8,12),(8,15),(9,21),(10,1),(11,3),(11,21),(12,2),(12,20),(13,10),(14,11),(14,20),(15,9),(15,20),(16,10),(17,13),(18,9),(18,11),(19,14),(19,15),(19,18),(20,17),(20,21),(21,13),(21,16)],22) => ([(0,5),(2,6),(3,6),(4,1),(5,2),(5,3),(6,4)],7) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => 4

([(0,7),(0,8),(1,12),(2,9),(3,9),(4,5),(5,2),(6,4),(6,11),(7,6),(7,10),(8,1),(8,10),(10,11),(10,12),(11,13),(12,13),(13,3)],14) => ([(0,5),(1,8),(2,7),(3,2),(3,6),(4,1),(4,6),(5,3),(5,4),(6,7),(6,8),(7,9),(8,9)],10) => ([(0,3),(0,4),(3,2),(4,1)],5) => 2

([(0,10),(0,12),(1,18),(2,20),(2,22),(3,22),(3,23),(4,17),(5,21),(6,16),(7,13),(7,21),(8,13),(8,15),(9,11),(10,9),(10,14),(11,5),(11,7),(12,2),(12,3),(12,14),(13,19),(14,20),(14,23),(15,24),(16,24),(17,18),(19,17),(20,25),(21,4),(21,19),(22,6),(22,25),(23,8),(23,25),(24,1),(25,15),(25,16)],26) => ([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6) => ([(0,1),(0,2),(1,3),(2,3)],4) => 3

([(0,9),(0,10),(1,8),(1,13),(2,1),(3,23),(4,22),(5,18),(6,27),(7,2),(7,26),(8,24),(9,7),(9,25),(10,6),(10,25),(11,20),(11,21),(12,15),(12,17),(13,20),(13,24),(14,28),(15,11),(15,28),(16,5),(17,3),(17,28),(19,22),(20,19),(21,16),(22,18),(23,16),(24,4),(24,19),(25,12),(25,26),(25,27),(26,14),(26,15),(27,14),(27,17),(28,21),(28,23)],29) => ([(0,4),(1,6),(2,6),(4,5),(5,1),(5,2),(6,3)],7) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => 4

([(0,7),(0,8),(1,11),(2,13),(3,9),(4,9),(5,2),(5,12),(6,3),(7,1),(7,10),(8,5),(8,10),(10,11),(10,12),(11,6),(12,13),(13,4)],14) => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => ([(0,4),(2,3),(3,1),(4,2)],5) => 5

([(0,6),(0,10),(0,11),(1,17),(2,16),(3,14),(3,19),(4,15),(5,14),(5,20),(6,13),(6,21),(7,5),(7,18),(8,3),(8,12),(9,2),(10,8),(10,21),(11,7),(11,13),(12,17),(12,19),(13,18),(14,22),(15,16),(17,9),(18,20),(19,22),(20,4),(20,22),(21,1),(21,12),(22,15)],23) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(0,11),(0,12),(1,13),(1,24),(2,15),(3,23),(4,17),(5,19),(6,21),(6,22),(7,13),(7,20),(8,9),(8,22),(9,7),(9,16),(10,4),(11,3),(11,14),(12,6),(12,8),(12,14),(13,25),(14,21),(14,23),(15,17),(16,19),(16,20),(18,24),(19,10),(20,25),(21,18),(22,5),(22,16),(23,1),(23,18),(24,2),(24,25),(25,15)],26) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,3),(2,1),(3,2)],4) => 4

([(0,8),(0,12),(1,14),(1,26),(2,16),(3,25),(4,20),(5,18),(6,22),(6,24),(7,14),(7,21),(8,23),(9,10),(9,24),(10,7),(10,17),(11,5),(12,13),(12,23),(13,6),(13,9),(13,15),(14,27),(15,22),(15,25),(16,18),(17,20),(17,21),(19,26),(20,11),(21,27),(22,19),(23,3),(23,15),(24,4),(24,17),(25,1),(25,19),(26,2),(26,27),(27,16)],28) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,3),(2,1),(3,2)],4) => 4

([(0,7),(0,8),(2,10),(2,11),(3,9),(4,10),(4,12),(5,4),(6,2),(6,9),(7,5),(8,3),(8,6),(9,11),(9,12),(10,13),(11,13),(12,13),(13,1)],14) => ([(0,4),(0,5),(2,8),(3,7),(4,3),(4,6),(5,2),(5,6),(6,7),(6,8),(7,9),(8,9),(9,1)],10) => ([(0,3),(1,2),(2,4),(3,4)],5) => 2

([(0,6),(0,7),(0,8),(1,5),(3,17),(4,16),(5,9),(5,10),(6,12),(6,13),(7,12),(7,14),(8,13),(8,14),(9,18),(10,18),(11,18),(12,1),(13,4),(13,15),(14,3),(14,15),(15,16),(15,17),(16,9),(16,11),(17,10),(17,11),(18,2)],19) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(0,7),(1,7),(2,5),(3,4),(7,6)],8) => ([(0,1),(0,2),(1,3),(2,3)],4) => ([],2) => 1

([(0,5),(1,3),(1,6),(1,7),(2,6),(4,2),(5,4),(5,7)],8) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(0,7),(1,6),(1,7),(2,3),(2,7),(3,5),(5,6),(6,4)],8) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(2,4),(2,7),(5,6),(6,3),(7,5)],8) => ([(0,3),(2,1),(3,2)],4) => ([(0,2),(2,1)],3) => 3

([(1,6),(1,7),(2,4),(2,6),(4,7),(6,3),(6,5),(7,5)],8) => ([(0,4),(1,6),(2,6),(4,5),(5,1),(5,2),(6,3)],7) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => 4

([(1,6),(1,7),(2,3),(2,6),(3,7),(4,5),(6,4)],8) => ([(0,4),(1,7),(2,6),(3,1),(3,6),(4,5),(5,2),(5,3),(6,7)],8) => ([(0,4),(3,2),(4,1),(4,3)],5) => 3

([(1,5),(2,4),(2,7),(5,7),(6,3),(7,6)],8) => ([(0,2),(0,3),(2,6),(3,6),(4,1),(5,4),(6,5)],7) => ([(0,4),(1,4),(2,3),(4,2)],5) => 4

([(2,4),(3,7),(4,6),(5,7),(6,5)],8) => ([(0,3),(2,1),(3,2)],4) => ([(0,2),(2,1)],3) => 3

([(1,4),(2,3),(2,6),(3,7),(4,6),(4,7),(6,5)],8) => ([(0,3),(0,4),(1,6),(2,6),(3,7),(4,7),(5,1),(5,2),(7,5)],8) => ([(0,4),(1,4),(4,2),(4,3)],5) => 3

([(0,6),(0,7),(1,2),(1,4),(1,7),(3,6),(4,3),(4,5),(7,5)],8) => ([(0,3),(0,4),(1,5),(2,5),(3,6),(4,6),(6,1),(6,2)],7) => ([(0,2),(0,3),(1,2),(1,3)],4) => 2

([(0,7),(1,5),(2,3),(2,4),(2,6),(3,7),(4,7),(5,6),(5,7)],8) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(1,6),(2,4),(4,7),(5,3),(5,7),(6,5)],8) => ([(0,3),(0,5),(2,8),(3,6),(4,2),(4,7),(5,4),(5,6),(6,7),(7,8),(8,1)],9) => ([(0,4),(1,2),(2,3),(3,4)],5) => 2

([(0,7),(1,6),(2,4),(2,7),(3,7),(5,3),(6,5)],8) => ([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8) => ([(1,2),(2,3)],4) => 1

([(0,7),(1,3),(1,6),(1,7),(4,5),(5,2),(6,4)],8) => ([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8) => ([(1,2),(2,3)],4) => 1

([(1,7),(2,4),(5,6),(6,3),(7,5)],8) => ([(0,2),(0,5),(1,7),(2,6),(3,4),(3,9),(4,1),(4,8),(5,3),(5,6),(6,9),(8,7),(9,8)],10) => ([(1,4),(3,2),(4,3)],5) => 1

([(1,7),(3,4),(4,6),(5,3),(6,2),(7,5)],8) => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 6

([(0,7),(1,5),(1,6),(2,5),(2,6),(3,7),(4,7),(5,3),(5,4),(6,3),(6,4)],8) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(0,7),(1,4),(2,3),(3,5),(3,6),(4,5),(4,6),(5,7),(6,7)],8) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => ([(0,2),(1,2)],3) => 2

([(0,7),(1,7),(2,5),(2,6),(3,4),(3,5),(4,6),(5,7),(6,7)],8) => ([(0,3),(2,1),(3,2)],4) => ([(0,2),(2,1)],3) => 3

([(1,7),(2,5),(2,7),(3,4),(3,5),(4,7),(5,6),(7,6)],8) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(0,4),(0,5),(1,7),(2,6),(2,7),(3,1),(3,6),(4,2),(5,3)],8) => ([(0,3),(0,5),(1,7),(3,6),(4,2),(5,1),(5,6),(6,7),(7,4)],8) => ([(0,4),(1,2),(2,4),(4,3)],5) => 3

([(1,6),(2,4),(3,5),(4,7),(5,6),(6,7)],8) => ([(0,1),(0,2),(1,3),(2,3)],4) => ([],2) => 1

([(0,7),(1,4),(1,6),(2,3),(2,5),(3,6),(4,5),(5,7),(6,7)],8) => ([(0,3),(0,4),(1,5),(2,5),(3,6),(4,6),(6,1),(6,2)],7) => ([(0,2),(0,3),(1,2),(1,3)],4) => 2

([(0,7),(1,5),(1,6),(2,5),(2,6),(3,7),(4,7),(5,4),(6,3)],8) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => ([(0,1),(0,2)],3) => 2

([(0,7),(1,6),(2,4),(2,5),(3,7),(4,7),(5,7),(6,3)],8) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(0,2),(0,3),(0,5),(1,6),(2,6),(2,7),(3,6),(3,7),(4,1),(4,7),(5,4)],8) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(0,2),(0,3),(0,5),(1,6),(2,7),(3,6),(3,7),(4,1),(5,4),(5,7)],8) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(0,7),(1,6),(2,5),(3,4),(3,7),(5,6),(6,7)],8) => ([(0,1),(0,2),(1,3),(2,3)],4) => ([],2) => 1

([(0,2),(1,6),(1,7),(2,3),(2,7),(3,5),(3,6),(6,4),(7,4),(7,5)],8) => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 6

([(0,7),(1,3),(1,7),(2,6),(3,4),(4,2),(4,5),(7,5),(7,6)],8) => ([(0,6),(2,8),(3,7),(4,2),(4,7),(5,1),(6,3),(6,4),(7,8),(8,5)],9) => ([(0,3),(0,4),(1,5),(3,5),(4,1),(5,2)],6) => 4

([(0,6),(0,7),(1,3),(1,4),(2,6),(3,6),(3,7),(4,5),(5,2),(5,7)],8) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(0,7),(1,3),(1,5),(2,6),(3,6),(3,7),(4,2),(5,4),(5,7)],8) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(1,3),(1,5),(2,6),(3,6),(3,7),(4,2),(5,4),(5,7)],8) => ([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6) => ([(0,1),(0,2),(1,3),(2,3)],4) => 3

([(0,2),(0,3),(0,5),(1,7),(3,6),(3,7),(4,1),(5,4),(5,6)],8) => ([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6) => ([(0,1),(0,2),(1,3),(2,3)],4) => 3

([(0,3),(0,6),(0,7),(4,5),(5,2),(6,4),(7,1)],8) => ([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8) => ([(1,2),(2,3)],4) => 1

([(1,6),(1,7),(4,5),(5,3),(6,4),(7,2)],8) => ([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8) => ([(1,2),(2,3)],4) => 1

([(0,7),(1,3),(1,6),(3,7),(4,5),(5,2),(6,4)],8) => ([(0,3),(2,1),(3,2)],4) => ([(0,2),(2,1)],3) => 3

([(0,6),(0,7),(1,5),(2,6),(5,2),(5,7),(6,3),(7,4)],8) => ([(0,5),(1,8),(2,7),(3,6),(4,1),(4,7),(5,3),(6,2),(6,4),(7,8)],9) => ([(0,4),(3,2),(4,5),(5,1),(5,3)],6) => 4

([(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(7,3)],8) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,3),(2,1),(3,2)],4) => 4

([(0,5),(1,5),(1,6),(2,4),(2,6),(2,7),(5,7),(7,3)],8) => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => ([(0,4),(2,3),(3,1),(4,2)],5) => 5

([(0,7),(1,3),(1,4),(5,6),(6,2),(7,5)],8) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,3),(2,1),(3,2)],4) => 4

([(3,4),(4,7),(6,5),(7,6)],8) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,3),(2,1),(3,2)],4) => 4

([(0,2),(0,3),(0,6),(2,7),(3,7),(4,5),(5,1),(6,4)],8) => ([(0,3),(2,1),(3,2)],4) => ([(0,2),(2,1)],3) => 3

([(0,7),(1,7),(2,6),(4,5),(5,3),(6,4)],8) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,3),(2,1),(3,2)],4) => 4

([(0,6),(1,6),(2,3),(2,7),(3,5),(4,7),(6,4)],8) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(0,5),(1,6),(1,7),(2,6),(2,7),(5,4),(6,5),(7,3),(7,4)],8) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(0,7),(1,4),(1,7),(2,3),(2,5),(3,7),(4,5),(4,6),(7,6)],8) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => ([(0,2),(1,2)],3) => 2

([(0,6),(1,3),(2,4),(3,5),(3,7),(4,6),(6,7)],8) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => ([(1,2)],3) => 1

([(0,4),(0,5),(1,6),(2,7),(3,2),(4,3),(4,6),(5,1),(5,7)],8) => ([(0,4),(0,5),(1,7),(2,9),(3,6),(4,8),(5,2),(5,8),(6,7),(8,3),(8,9),(9,1),(9,6)],10) => ([(0,3),(0,4),(1,2),(1,3),(2,4)],5) => 1

([(0,4),(0,5),(1,6),(4,6),(4,7),(5,1),(5,7),(6,2),(7,3)],8) => ([(0,4),(1,7),(2,6),(3,1),(3,6),(4,5),(5,2),(5,3),(6,7)],8) => ([(0,4),(3,2),(4,1),(4,3)],5) => 3

([(0,7),(1,5),(2,4),(4,6),(4,7),(5,6),(5,7),(7,3)],8) => ([(0,1),(0,2),(1,3),(2,3)],4) => ([],2) => 1

([(0,6),(0,7),(1,5),(2,4),(4,6),(4,7),(5,6),(5,7),(7,3)],8) => ([(0,1),(0,2),(1,3),(2,3)],4) => ([],2) => 1

([(0,3),(0,4),(2,7),(3,5),(3,6),(3,7),(4,2),(4,5),(4,6),(7,1)],8) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(0,4),(0,5),(2,7),(3,2),(4,3),(4,6),(5,1),(5,6),(5,7)],8) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(1,3),(2,6),(2,7),(3,5),(3,6),(4,7),(5,4)],8) => ([(0,4),(1,6),(2,6),(4,5),(5,1),(5,2),(6,3)],7) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => 4

([(0,3),(1,7),(2,6),(2,7),(3,5),(3,7),(4,6),(5,4)],8) => ([(0,3),(2,1),(3,2)],4) => ([(0,2),(2,1)],3) => 3

([(0,3),(1,6),(1,7),(2,6),(2,7),(3,5),(4,6),(5,4),(5,7)],8) => ([(0,3),(2,1),(3,2)],4) => ([(0,2),(2,1)],3) => 3

([(0,7),(1,7),(2,6),(2,7),(4,5),(5,3),(6,4)],8) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,3),(2,1),(3,2)],4) => 4

([(1,7),(2,6),(2,7),(4,5),(5,3),(6,4)],8) => ([(0,5),(1,6),(2,7),(3,4),(3,6),(4,2),(4,8),(5,1),(5,3),(6,8),(8,7)],9) => ([(0,2),(0,4),(3,1),(4,3)],5) => 2

([(0,6),(0,7),(4,5),(5,3),(6,4),(7,1),(7,2)],8) => ([(0,3),(2,1),(3,2)],4) => ([(0,2),(2,1)],3) => 3

([(0,4),(1,3),(1,7),(5,6),(6,2),(7,5)],8) => ([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8) => ([(1,2),(2,3)],4) => 1

([(0,6),(0,7),(1,3),(1,7),(4,5),(5,2),(6,4)],8) => ([(0,3),(2,1),(3,2)],4) => ([(0,2),(2,1)],3) => 3

([(0,5),(0,7),(1,5),(1,7),(2,4),(2,6),(2,7),(5,6),(6,3)],8) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,3),(2,1),(3,2)],4) => 4

([(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(7,3)],8) => ([(0,3),(2,1),(3,2)],4) => ([(0,2),(2,1)],3) => 3

([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(7,3)],8) => ([(0,3),(2,1),(3,2)],4) => ([(0,2),(2,1)],3) => 3

([(0,5),(0,6),(0,7),(1,4),(3,7),(4,3),(4,5),(4,6),(7,2)],8) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(0,5),(0,6),(0,7),(1,4),(1,7),(2,6),(3,2),(4,3),(4,5)],8) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(0,6),(0,7),(1,5),(1,6),(1,7),(3,4),(4,2),(5,3)],8) => ([(0,3),(2,1),(3,2)],4) => ([(0,2),(2,1)],3) => 3

([(1,3),(1,4),(1,7),(5,6),(6,2),(7,5)],8) => ([(0,3),(2,1),(3,2)],4) => ([(0,2),(2,1)],3) => 3

([(0,2),(0,3),(0,4),(0,7),(5,6),(6,1),(7,5)],8) => ([(0,3),(2,1),(3,2)],4) => ([(0,2),(2,1)],3) => 3

([(0,1),(0,2),(0,3),(2,6),(2,7),(3,6),(3,7),(6,4),(6,5),(7,4),(7,5)],8) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(0,3),(0,7),(1,6),(1,7),(3,4),(3,6),(5,2),(6,5),(7,4),(7,5)],8) => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 6

([(0,3),(1,4),(2,5),(3,5),(3,6),(4,2),(4,6),(5,7),(6,7)],8) => ([(0,3),(0,5),(1,7),(3,6),(4,2),(5,1),(5,6),(6,7),(7,4)],8) => ([(0,4),(1,2),(2,4),(4,3)],5) => 3

([(0,4),(1,5),(3,7),(4,6),(4,7),(5,3),(5,6),(7,2)],8) => ([(0,3),(0,6),(1,8),(3,7),(4,2),(5,4),(6,1),(6,7),(7,8),(8,5)],9) => ([(0,5),(1,3),(3,5),(4,2),(5,4)],6) => 4

([(0,7),(1,4),(1,7),(3,5),(3,6),(4,2),(4,3),(7,5),(7,6)],8) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(0,3),(0,4),(0,5),(1,6),(1,7),(2,6),(2,7),(4,2),(5,1)],8) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => ([(0,2),(1,2)],3) => 2

([(0,3),(1,6),(1,7),(2,6),(2,7),(3,5),(5,4),(5,6),(5,7)],8) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,3),(2,1),(3,2)],4) => 4

([(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(3,4),(4,5),(4,6),(4,7)],8) => ([(0,3),(2,1),(3,2)],4) => ([(0,2),(2,1)],3) => 3

([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(3,4),(4,5),(4,6),(4,7)],8) => ([(0,3),(2,1),(3,2)],4) => ([(0,2),(2,1)],3) => 3

([(0,6),(0,7),(1,6),(1,7),(2,3),(3,5),(3,7),(5,6),(6,4)],8) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(0,6),(0,7),(1,6),(1,7),(2,3),(3,4),(3,7),(4,6),(6,5),(7,5)],8) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(0,7),(1,5),(1,7),(2,3),(2,7),(3,4),(4,5),(5,6),(7,6)],8) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(0,6),(0,7),(1,5),(1,7),(2,3),(2,7),(3,4),(4,5),(5,6)],8) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(0,7),(1,5),(1,6),(1,7),(2,3),(3,4),(3,7),(4,5),(4,6)],8) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,3),(2,1),(3,2)],4) => 4

([(0,3),(1,7),(2,6),(2,7),(3,5),(3,7),(5,4),(5,6)],8) => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => ([(0,4),(2,3),(3,1),(4,2)],5) => 5

([(0,2),(0,3),(0,4),(0,5),(1,6),(4,6),(4,7),(5,1),(5,7)],8) => ([(0,3),(2,1),(3,2)],4) => ([(0,2),(2,1)],3) => 3

([(1,4),(1,5),(3,6),(4,6),(4,7),(5,2),(5,3),(5,7)],8) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(1,6),(1,7),(2,4),(2,6),(4,5),(5,7),(7,3)],8) => ([(0,5),(2,6),(3,6),(4,1),(5,2),(5,3),(6,4)],7) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => 4

([(1,5),(1,6),(2,3),(2,5),(3,4),(4,6),(5,7),(6,7)],8) => ([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6) => ([(0,1),(0,2),(1,3),(2,3)],4) => 3

([(0,7),(1,5),(1,6),(2,3),(2,5),(3,4),(4,6),(5,7),(6,7)],8) => ([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6) => ([(0,1),(0,2),(1,3),(2,3)],4) => 3

([(1,6),(2,4),(3,7),(4,7),(5,3),(6,5)],8) => ([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8) => ([(1,2),(2,3)],4) => 1

([(1,6),(2,4),(2,7),(3,7),(5,3),(6,5)],8) => ([(0,3),(0,5),(2,8),(3,6),(4,2),(4,7),(5,4),(5,6),(6,7),(7,8),(8,1)],9) => ([(0,4),(1,2),(2,3),(3,4)],5) => 2

([(1,6),(1,7),(5,4),(6,2),(7,3),(7,5)],8) => ([(0,1),(0,2),(1,3),(2,3)],4) => ([],2) => 1

([(0,3),(0,4),(0,6),(0,7),(5,1),(6,2),(7,5)],8) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => ([(1,2)],3) => 1

([(0,2),(0,3),(0,4),(0,6),(3,7),(4,7),(5,1),(6,5)],8) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(0,3),(1,6),(2,6),(2,7),(3,5),(4,7),(5,4)],8) => ([(0,3),(2,1),(3,2)],4) => ([(0,2),(2,1)],3) => 3

([(0,3),(1,6),(1,7),(2,6),(2,7),(3,5),(4,7),(5,4)],8) => ([(0,3),(2,1),(3,2)],4) => ([(0,2),(2,1)],3) => 3

([(0,4),(1,5),(1,7),(4,7),(5,6),(6,2),(6,3)],8) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(0,7),(1,6),(1,7),(5,3),(6,2),(6,5),(7,4)],8) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => ([(1,2)],3) => 1

([(0,3),(0,6),(0,7),(4,2),(5,1),(6,4),(7,5)],8) => ([(0,3),(0,4),(1,7),(2,6),(3,2),(3,5),(4,1),(4,5),(5,6),(5,7),(6,8),(7,8)],9) => ([(0,3),(1,2)],4) => 1

([(0,3),(0,4),(0,5),(1,7),(2,6),(4,2),(4,7),(5,1),(5,6)],8) => ([(0,3),(0,4),(1,5),(2,5),(3,6),(4,6),(6,1),(6,2)],7) => ([(0,2),(0,3),(1,2),(1,3)],4) => 2

([(0,6),(0,7),(1,4),(1,7),(3,6),(4,2),(4,3),(4,5),(7,5)],8) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => ([(0,1),(0,2)],3) => 2

([(0,3),(0,6),(1,4),(1,7),(2,6),(3,7),(4,2),(6,5),(7,5)],8) => ([(0,4),(0,5),(1,7),(2,9),(3,6),(4,8),(5,2),(5,8),(6,7),(8,3),(8,9),(9,1),(9,6)],10) => ([(0,3),(0,4),(1,2),(1,3),(2,4)],5) => 1

([(0,6),(0,7),(1,2),(1,7),(2,6),(3,5),(4,5),(6,3),(7,4)],8) => ([(0,4),(1,7),(2,6),(3,1),(3,6),(4,5),(5,2),(5,3),(6,7)],8) => ([(0,4),(3,2),(4,1),(4,3)],5) => 3

([(0,6),(0,7),(1,2),(1,7),(2,6),(4,5),(6,4),(7,3),(7,5)],8) => ([(0,5),(2,8),(3,7),(4,2),(4,7),(5,6),(6,3),(6,4),(7,8),(8,1)],9) => ([(0,4),(1,5),(2,5),(3,2),(4,1),(4,3)],6) => 4

([(0,5),(0,6),(0,7),(1,2),(2,5),(2,6),(2,7),(6,4),(7,3)],8) => ([(0,1),(0,2),(1,3),(2,3)],4) => ([],2) => 1

([(0,6),(0,7),(1,5),(5,2),(5,6),(5,7),(6,4),(7,3)],8) => ([(0,1),(0,2),(1,3),(2,3)],4) => ([],2) => 1

([(0,3),(0,4),(0,5),(4,6),(4,7),(5,6),(5,7),(6,2),(7,1)],8) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => ([(0,1),(0,2)],3) => 2

([(0,5),(0,6),(0,7),(1,3),(1,6),(1,7),(3,5),(4,2),(5,4)],8) => ([(0,3),(2,1),(3,2)],4) => ([(0,2),(2,1)],3) => 3

([(0,3),(0,6),(0,7),(1,4),(1,6),(1,7),(2,5),(3,4),(4,2),(7,5)],8) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(0,3),(0,5),(0,6),(1,4),(1,5),(1,6),(2,7),(3,4),(4,2),(5,7),(6,7)],8) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(0,4),(0,6),(1,3),(1,5),(1,6),(2,5),(3,7),(4,2),(5,7),(6,7)],8) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(0,3),(0,6),(0,7),(1,4),(1,7),(2,6),(4,2),(6,5),(7,5)],8) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(0,4),(0,6),(0,7),(1,5),(1,6),(3,7),(5,3),(7,2)],8) => ([(0,3),(2,1),(3,2)],4) => ([(0,2),(2,1)],3) => 3

([(0,4),(0,6),(0,7),(5,3),(6,5),(7,1),(7,2)],8) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(0,6),(1,2),(1,3),(1,7),(4,7),(5,4),(6,5)],8) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,3),(2,1),(3,2)],4) => 4

([(0,6),(1,2),(1,4),(3,7),(4,7),(5,3),(6,5)],8) => ([(0,3),(2,1),(3,2)],4) => ([(0,2),(2,1)],3) => 3

([(0,6),(1,3),(1,4),(2,7),(3,7),(4,7),(5,2),(6,5)],8) => ([(0,3),(2,1),(3,2)],4) => ([(0,2),(2,1)],3) => 3

([(0,7),(1,6),(2,4),(3,7),(5,3),(6,5)],8) => ([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8) => ([(1,2),(2,3)],4) => 1

([(0,7),(1,4),(1,6),(1,7),(5,3),(6,2),(6,5)],8) => ([(0,1),(0,2),(1,3),(2,3)],4) => ([],2) => 1

([(0,2),(0,3),(0,4),(0,5),(0,7),(6,1),(7,6)],8) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(1,4),(2,7),(3,7),(4,6),(5,7),(6,5)],8) => ([(0,3),(2,1),(3,2)],4) => ([(0,2),(2,1)],3) => 3

([(0,7),(1,3),(1,7),(3,5),(4,2),(4,6),(5,6),(7,4),(7,5)],8) => ([(0,5),(1,7),(2,7),(4,6),(5,4),(6,1),(6,2),(7,3)],8) => ([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6) => 5

([(0,5),(1,4),(1,7),(2,3),(2,5),(3,6),(3,7),(5,6),(5,7),(6,4)],8) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(0,6),(1,4),(1,6),(3,5),(4,3),(4,7),(6,7),(7,2),(7,5)],8) => ([(0,6),(2,7),(3,7),(4,1),(5,4),(6,2),(6,3),(7,5)],8) => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6) => 5

([(0,6),(0,7),(1,6),(1,7),(2,5),(3,4),(3,5),(4,6),(4,7),(5,7)],8) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(0,7),(1,3),(1,4),(1,5),(1,7),(4,6),(5,2),(5,6)],8) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => ([(1,2)],3) => 1

([(0,5),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7)],8) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(0,4),(0,5),(0,6),(3,7),(5,2),(5,7),(6,1),(6,3)],8) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(0,7),(1,5),(1,7),(2,3),(2,4),(7,6)],8) => ([(0,3),(2,1),(3,2)],4) => ([(0,2),(2,1)],3) => 3

([(0,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4)],8) => ([(0,1),(0,2),(1,3),(2,3)],4) => ([],2) => 1

([(0,7),(1,7),(2,5),(3,4),(3,5),(3,7),(4,6),(5,6)],8) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(0,6),(1,3),(1,4),(1,6),(2,5),(3,5),(3,7),(4,2),(4,7),(6,7)],8) => ([(0,1),(0,2),(1,3),(2,3)],4) => ([],2) => 1

([(0,6),(0,7),(1,3),(1,7),(2,4),(2,5),(3,6),(4,7),(6,5)],8) => ([(0,1),(0,2),(1,3),(2,3)],4) => ([],2) => 1

([(0,5),(0,7),(1,4),(1,6),(2,3),(2,4),(2,5),(3,6),(3,7),(4,7),(5,6)],8) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => ([(0,1),(0,2)],3) => 2

([(1,6),(2,3),(2,4),(2,6),(4,7),(6,5),(6,7)],8) => ([(0,3),(2,1),(3,2)],4) => ([(0,2),(2,1)],3) => 3

([(0,7),(1,6),(1,7),(2,5),(3,4),(3,5),(4,7),(5,6),(5,7)],8) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(0,7),(1,7),(2,3),(2,7),(3,5),(5,6),(7,4),(7,6)],8) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(0,6),(1,3),(2,4),(2,6),(4,7),(6,7),(7,5)],8) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => ([(1,2)],3) => 1

([(2,6),(3,4),(3,6),(4,5),(4,7),(6,7)],8) => ([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6) => ([(0,1),(0,2),(1,3),(2,3)],4) => 3

([(1,3),(1,6),(2,4),(2,6),(4,7),(6,5),(6,7)],8) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5)],8) => ([(0,3),(2,1),(3,2)],4) => ([(0,2),(2,1)],3) => 3

([(0,6),(0,7),(1,6),(1,7),(2,5),(3,4),(3,6),(3,7)],8) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => ([(1,2)],3) => 1

([(0,7),(1,6),(1,7),(2,4),(2,5),(2,6),(7,3)],8) => ([(0,3),(2,1),(3,2)],4) => ([(0,2),(2,1)],3) => 3

([(1,7),(2,6),(3,5),(3,6),(3,7),(7,4)],8) => ([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7) => ([(0,2),(0,3),(3,1)],4) => 2

([(0,6),(0,7),(1,6),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(0,7),(1,5),(1,7),(5,2),(5,3),(5,4),(5,6),(7,6)],8) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(0,7),(1,3),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6)],8) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(0,5),(0,6),(0,7),(1,3),(2,4),(2,5),(2,6),(4,7)],8) => ([(0,1),(0,2),(1,3),(2,3)],4) => ([],2) => 1

([(1,7),(2,7),(3,6),(4,5),(4,6),(5,7),(6,7)],8) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(2,4),(2,5),(4,7),(5,6),(6,3),(6,7)],8) => ([(0,3),(2,1),(3,2)],4) => ([(0,2),(2,1)],3) => 3

([(1,6),(2,7),(3,7),(4,5),(5,3),(6,2),(6,4)],8) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(0,2),(0,3),(0,4),(0,5),(3,7),(4,6),(5,1),(5,6),(5,7)],8) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => ([(0,1),(0,2)],3) => 2

([(0,3),(0,5),(1,6),(2,6),(3,7),(4,2),(5,1),(5,4),(5,7)],8) => ([(0,1),(0,2),(1,3),(2,3)],4) => ([],2) => 1

([(1,6),(2,3),(2,4),(2,6),(3,7),(4,5),(4,7)],8) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => ([(1,2)],3) => 1

([(0,6),(3,5),(4,3),(5,1),(6,7),(7,2),(7,4)],8) => ([(0,3),(2,1),(3,2)],4) => ([(0,2),(2,1)],3) => 3

([(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(4,7)],8) => ([(0,3),(2,1),(3,2)],4) => ([(0,2),(2,1)],3) => 3

([(1,7),(5,6),(6,4),(7,2),(7,3),(7,5)],8) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(0,7),(5,6),(6,4),(7,1),(7,2),(7,3),(7,5)],8) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(1,5),(1,6),(2,4),(2,5),(3,7),(4,6),(5,3),(6,7)],8) => ([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6) => ([(0,3),(3,1),(3,2)],4) => 3

([(1,5),(2,4),(2,5),(3,7),(4,6),(5,3),(5,6),(6,7)],8) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,3),(2,1),(3,2)],4) => 4

([(1,6),(1,7),(2,6),(2,7),(3,4),(3,6),(4,5),(4,7)],8) => ([(0,3),(2,1),(3,2)],4) => ([(0,2),(2,1)],3) => 3

([(0,2),(0,3),(0,5),(1,7),(2,6),(2,7),(3,6),(3,7),(4,1),(5,4),(5,6)],8) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(0,5),(1,2),(1,3),(1,4),(3,6),(3,7),(4,6),(4,7)],8) => ([(0,1),(0,2),(1,3),(2,3)],4) => ([],2) => 1

([(0,5),(0,6),(0,7),(1,3),(1,4),(1,7),(4,6),(7,2)],8) => ([(0,1),(0,2),(1,3),(2,3)],4) => ([],2) => 1

([(1,5),(1,6),(2,4),(2,5),(2,6),(4,7),(6,3),(6,7)],8) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(0,5),(0,7),(1,4),(2,3),(2,5),(2,7),(3,6),(4,7),(5,6)],8) => ([(0,3),(0,4),(2,6),(3,5),(4,2),(4,5),(5,6),(6,1)],7) => ([(0,3),(1,2),(2,3)],4) => 2

([(0,2),(0,3),(0,5),(1,7),(2,6),(3,7),(4,1),(5,4),(5,6)],8) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => ([(0,1),(0,2)],3) => 2

([(0,3),(0,5),(2,6),(3,6),(3,7),(4,1),(5,2),(5,7),(7,4)],8) => ([(0,4),(1,7),(2,6),(3,1),(3,6),(4,5),(5,2),(5,3),(6,7)],8) => ([(0,4),(3,2),(4,1),(4,3)],5) => 3

([(0,6),(0,7),(1,2),(2,6),(2,7),(4,5),(6,4),(7,3),(7,5)],8) => ([(0,4),(1,6),(2,6),(4,5),(5,1),(5,2),(6,3)],7) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => 4

([(0,5),(0,6),(1,5),(1,6),(4,3),(4,7),(5,7),(6,4),(7,2)],8) => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => ([(0,4),(2,3),(3,1),(4,2)],5) => 5

([(0,6),(1,4),(1,6),(3,5),(4,3),(4,7),(6,5),(6,7),(7,2)],8) => ([(0,6),(1,8),(2,8),(3,7),(4,7),(5,3),(5,4),(6,1),(6,2),(8,5)],9) => ([(0,3),(0,4),(3,5),(4,5),(5,1),(5,2)],6) => 4

([(0,3),(0,7),(1,6),(1,7),(2,6),(3,2),(3,4),(6,5),(7,4),(7,5)],8) => ([(0,6),(1,8),(2,8),(3,7),(4,7),(6,1),(6,2),(7,5),(8,3),(8,4)],9) => ([(0,1),(0,2),(1,4),(1,5),(2,4),(2,5),(4,3),(5,3)],6) => 4

([(1,6),(1,7),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5)],8) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => ([(0,1),(0,2)],3) => 2

([(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(4,5)],8) => ([(0,1),(0,2),(1,3),(2,3)],4) => ([],2) => 1

([(1,5),(1,7),(2,5),(2,6),(2,7),(3,4),(3,7),(4,6)],8) => ([(0,3),(2,1),(3,2)],4) => ([(0,2),(2,1)],3) => 3

([(1,7),(2,7),(3,5),(3,6),(7,4),(7,6)],8) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(1,4),(1,5),(1,7),(2,3),(2,5),(2,6),(3,7),(4,6)],8) => ([(0,1),(0,2),(1,3),(2,3)],4) => ([],2) => 1

([(0,4),(0,6),(4,7),(5,3),(5,7),(6,1),(6,2),(6,5)],8) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(0,3),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(3,5),(4,2)],8) => ([(0,1),(0,2),(1,3),(2,3)],4) => ([],2) => 1

([(0,7),(1,3),(1,4),(2,5),(2,7),(3,5),(3,6),(4,2),(4,6),(6,7)],8) => ([(0,3),(2,1),(3,2)],4) => ([(0,2),(2,1)],3) => 3

([(1,3),(1,4),(2,5),(2,7),(3,5),(3,6),(4,2),(4,6),(6,7)],8) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,3),(2,1),(3,2)],4) => 4

([(0,6),(0,7),(1,6),(1,7),(4,3),(5,4),(6,5),(7,2)],8) => ([(0,5),(1,6),(2,7),(3,4),(3,6),(4,2),(4,8),(5,1),(5,3),(6,8),(8,7)],9) => ([(0,2),(0,4),(3,1),(4,3)],5) => 2

([(0,6),(0,7),(1,5),(2,6),(2,7),(3,4),(4,2),(5,3)],8) => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => ([(0,4),(2,3),(3,1),(4,2)],5) => 5

([(1,3),(1,6),(1,7),(2,4),(2,5),(4,6),(4,7),(5,6),(5,7)],8) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(1,2),(1,3),(2,6),(2,7),(3,6),(3,7),(6,4),(6,5),(7,4),(7,5)],8) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(0,5),(1,3),(2,4),(2,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => ([(1,2)],3) => 1

([(0,5),(0,7),(1,2),(1,3),(1,6),(4,7),(6,4)],8) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => ([(0,2),(1,2)],3) => 2

([(2,6),(3,4),(3,6),(4,5),(5,7),(6,7)],8) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => ([(0,1),(0,2)],3) => 2

([(0,6),(0,7),(1,5),(2,3),(2,5),(3,6),(3,7),(4,6),(4,7),(5,4)],8) => ([(0,3),(2,1),(3,2)],4) => ([(0,2),(2,1)],3) => 3

([(1,5),(2,3),(2,6),(4,7),(5,7),(6,4)],8) => ([(0,1),(0,2),(1,3),(2,3)],4) => ([],2) => 1

([(1,7),(2,6),(2,7),(3,4),(3,5),(3,7)],8) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(0,6),(0,7),(1,2),(1,3),(1,4),(1,7),(4,5),(4,6),(7,5)],8) => ([(0,3),(2,1),(3,2)],4) => ([(0,2),(2,1)],3) => 3

([(1,2),(1,4),(1,5),(3,6),(4,6),(4,7),(5,3),(5,7)],8) => ([(0,3),(2,1),(3,2)],4) => ([(0,2),(2,1)],3) => 3

([(0,4),(1,5),(1,6),(3,7),(4,7),(5,2),(6,3)],8) => ([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(4,7),(5,7),(6,7)],8) => ([],3) => 1

([(0,5),(0,7),(1,4),(2,3),(2,5),(2,6),(4,7),(7,6)],8) => ([(0,3),(0,5),(1,7),(3,6),(4,2),(5,1),(5,6),(6,7),(7,4)],8) => ([(0,4),(1,2),(2,4),(4,3)],5) => 3

([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(5,3),(6,4),(7,2),(7,4)],8) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => ([(1,2)],3) => 1

([(0,5),(0,6),(0,7),(1,4),(2,3),(2,7),(3,5),(4,6),(4,7)],8) => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6) => ([(0,3),(1,3),(3,2)],4) => 3

([(1,4),(1,5),(4,7),(5,3),(5,7),(6,2),(7,6)],8) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,3),(2,1),(3,2)],4) => 4

([(0,6),(0,7),(1,3),(1,4),(1,7),(4,6),(5,2),(6,5)],8) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,3),(2,1),(3,2)],4) => 4

([(0,6),(0,7),(1,6),(1,7),(2,4),(2,7),(3,5),(3,6),(5,7)],8) => ([(0,1),(0,2),(1,3),(2,3)],4) => ([],2) => 1

([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(4,2),(6,4),(7,3),(7,4)],8) => ([(0,3),(2,1),(3,2)],4) => ([(0,2),(2,1)],3) => 3

([(0,7),(1,6),(1,7),(2,5),(3,4),(3,5),(4,6),(4,7)],8) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(1,6),(1,7),(2,4),(3,5),(4,6),(4,7),(7,3)],8) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,3),(2,1),(3,2)],4) => 4

([(0,5),(0,6),(0,7),(1,3),(1,7),(3,5),(3,6),(4,2),(6,4)],8) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(0,6),(0,7),(1,4),(4,3),(4,6),(4,7),(5,2),(7,5)],8) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(0,6),(0,7),(1,6),(1,7),(2,3),(2,6),(2,7),(4,5),(7,4)],8) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,3),(2,1),(3,2)],4) => 4

([(0,7),(1,3),(1,7),(5,2),(6,5),(7,4),(7,6)],8) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(1,6),(4,5),(5,2),(6,7),(7,3),(7,4)],8) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(0,5),(0,6),(1,3),(1,7),(2,4),(2,5),(3,6),(4,7),(5,7)],8) => ([(0,3),(0,4),(2,6),(3,5),(4,2),(4,5),(5,6),(6,1)],7) => ([(0,3),(1,2),(2,3)],4) => 2

([(0,6),(1,3),(1,4),(1,5),(1,6),(2,7),(3,7),(4,7),(5,2)],8) => ([(0,1),(0,2),(1,3),(2,3)],4) => ([],2) => 1

([(0,7),(1,4),(1,5),(1,6),(3,7),(4,7),(5,3),(6,2)],8) => ([(0,1),(0,2),(1,3),(2,3)],4) => ([],2) => 1

([(2,7),(3,7),(4,5),(4,7),(5,6)],8) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(1,7),(2,5),(3,4),(3,6),(4,7),(5,6),(5,7)],8) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => ([(0,2),(1,2)],3) => 2

([(0,6),(0,7),(1,6),(1,7),(2,5),(2,7),(3,4),(3,5),(3,7),(5,6)],8) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(1,7),(2,5),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7)],8) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(1,5),(2,6),(2,7),(3,4),(4,6),(4,7),(7,5)],8) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(0,6),(1,4),(1,7),(5,3),(6,2),(6,7),(7,5)],8) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(1,7),(2,4),(2,6),(3,7),(4,7),(5,3),(6,5)],8) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(1,6),(2,3),(2,6),(3,5),(4,7),(5,4),(6,7)],8) => ([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7) => ([(0,2),(0,3),(3,1)],4) => 2

([(1,5),(1,6),(2,5),(2,6),(3,4),(4,7),(5,7),(6,7)],8) => ([(0,1),(0,2),(1,3),(2,3)],4) => ([],2) => 1

([(1,6),(2,5),(3,4),(3,6),(4,7),(5,7),(6,7)],8) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => ([(1,2)],3) => 1

([(1,6),(2,3),(2,4),(2,6),(3,7),(4,7),(5,7),(6,5)],8) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(1,3),(1,4),(1,6),(2,7),(3,7),(4,7),(5,2),(6,5)],8) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(1,7),(2,7),(3,7),(4,5),(5,6),(6,7)],8) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(0,6),(1,6),(1,7),(2,4),(2,7),(3,5),(3,6),(5,7)],8) => ([(0,1),(0,2),(1,3),(2,3)],4) => ([],2) => 1

([(0,7),(1,6),(2,4),(3,5),(5,6),(5,7)],8) => ([(0,1),(0,2),(1,3),(2,3)],4) => ([],2) => 1

([(0,3),(0,7),(4,6),(5,2),(6,5),(7,1),(7,4)],8) => ([(0,3),(2,1),(3,2)],4) => ([(0,2),(2,1)],3) => 3

([(0,6),(0,7),(1,3),(1,6),(1,7),(4,2),(5,4),(7,5)],8) => ([(0,3),(2,1),(3,2)],4) => ([(0,2),(2,1)],3) => 3

([(1,7),(4,6),(5,4),(6,2),(7,3),(7,5)],8) => ([(0,3),(2,1),(3,2)],4) => ([(0,2),(2,1)],3) => 3

([(0,4),(1,3),(1,5),(2,6),(2,7),(3,6),(3,7),(5,2)],8) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => ([(1,2)],3) => 1

([(0,6),(0,7),(1,6),(1,7),(2,4),(3,5),(5,6),(5,7)],8) => ([(0,1),(0,2),(1,3),(2,3)],4) => ([],2) => 1

([(1,5),(1,6),(2,5),(2,6),(2,7),(3,4),(4,7)],8) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => ([(0,2),(1,2)],3) => 2

([(1,7),(2,5),(3,4),(3,7),(7,6)],8) => ([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8) => ([(1,2),(2,3)],4) => 1

([(0,4),(0,5),(0,6),(4,7),(5,2),(6,1),(6,7),(7,3)],8) => ([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8) => ([(1,2),(2,3)],4) => 1

([(0,7),(1,6),(2,6),(3,4),(4,5),(4,7)],8) => ([(0,3),(2,1),(3,2)],4) => ([(0,2),(2,1)],3) => 3

([(0,7),(1,6),(2,4),(2,7),(4,5),(7,3),(7,6)],8) => ([(0,5),(1,6),(2,7),(3,4),(3,6),(4,2),(4,8),(5,1),(5,3),(6,8),(8,7)],9) => ([(0,2),(0,4),(3,1),(4,3)],5) => 2

([(0,7),(1,6),(5,4),(6,2),(6,3),(6,7),(7,5)],8) => ([(0,3),(2,1),(3,2)],4) => ([(0,2),(2,1)],3) => 3

([(0,7),(1,6),(2,3),(2,6),(2,7),(4,5),(7,4)],8) => ([(0,5),(1,6),(2,7),(3,4),(3,6),(4,2),(4,8),(5,1),(5,3),(6,8),(8,7)],9) => ([(0,2),(0,4),(3,1),(4,3)],5) => 2

([(0,4),(0,6),(4,7),(5,3),(6,1),(6,2),(6,7),(7,5)],8) => ([(0,3),(2,1),(3,2)],4) => ([(0,2),(2,1)],3) => 3

([(1,7),(2,4),(2,5),(2,7),(6,3),(7,6)],8) => ([(0,3),(2,1),(3,2)],4) => ([(0,2),(2,1)],3) => 3

([(0,7),(4,6),(5,3),(6,5),(7,1),(7,2),(7,4)],8) => ([(0,3),(2,1),(3,2)],4) => ([(0,2),(2,1)],3) => 3

([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(3,4),(4,2),(7,3)],8) => ([(0,3),(2,1),(3,2)],4) => ([(0,2),(2,1)],3) => 3

([(0,5),(0,6),(1,3),(1,4),(1,6),(3,7),(4,5),(4,7),(7,2)],8) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,3),(2,1),(3,2)],4) => 4

([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(3,4)],8) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(0,5),(1,3),(1,6),(2,4),(2,6),(2,7),(5,7)],8) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(0,6),(1,2),(1,3),(1,4),(1,7),(6,7),(7,5)],8) => ([(0,3),(2,1),(3,2)],4) => ([(0,2),(2,1)],3) => 3

([(0,7),(1,3),(1,4),(1,5),(1,7),(6,2),(7,6)],8) => ([(0,3),(2,1),(3,2)],4) => ([(0,2),(2,1)],3) => 3

([(0,6),(1,2),(1,6),(2,3),(2,7),(3,4),(3,5),(6,7),(7,4),(7,5)],8) => ([(0,5),(2,6),(3,6),(4,1),(5,2),(5,3),(6,4)],7) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => 4

([(0,3),(0,7),(1,6),(1,7),(3,5),(3,6),(5,4),(6,2),(6,4),(7,5)],8) => ([(0,5),(1,7),(2,7),(4,6),(5,4),(6,1),(6,2),(7,3)],8) => ([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6) => 5

([(0,2),(0,7),(1,5),(1,7),(2,3),(2,6),(3,4),(3,5),(6,4),(7,6)],8) => ([(0,6),(1,8),(2,8),(3,7),(4,7),(6,1),(6,2),(7,5),(8,3),(8,4)],9) => ([(0,1),(0,2),(1,4),(1,5),(2,4),(2,5),(4,3),(5,3)],6) => 4

([(0,3),(0,7),(1,5),(1,7),(2,6),(3,4),(3,5),(5,2),(7,4),(7,6)],8) => ([(0,5),(1,7),(2,7),(4,6),(5,4),(6,1),(6,2),(7,3)],8) => ([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6) => 5

([(0,2),(1,6),(1,7),(2,3),(3,6),(3,7),(6,4),(6,5),(7,4),(7,5)],8) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,3),(2,1),(3,2)],4) => 4

([(0,6),(0,7),(1,4),(2,3),(2,5),(3,6),(3,7),(4,5),(5,6),(5,7)],8) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => ([(0,2),(1,2)],3) => 2

([(1,6),(2,5),(2,7),(3,4),(3,5),(3,6),(4,7),(6,7)],8) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => ([(0,1),(0,2)],3) => 2

([(0,6),(0,7),(1,6),(1,7),(2,3),(3,4),(3,5),(6,2),(7,4),(7,5)],8) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,3),(2,1),(3,2)],4) => 4

([(0,7),(1,6),(2,3),(2,6),(3,4),(3,5),(6,7),(7,4),(7,5)],8) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(0,7),(1,5),(2,6),(3,7),(6,3),(7,4)],8) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => ([(1,2)],3) => 1

([(1,6),(2,4),(2,7),(3,5),(3,6),(5,7),(6,7)],8) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => ([(1,2)],3) => 1

([(0,5),(1,3),(1,7),(2,4),(2,5),(3,6),(4,6),(4,7),(5,7)],8) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => ([(1,2)],3) => 1

([(0,3),(1,5),(2,4),(2,6),(4,7),(5,6),(6,7)],8) => ([(0,2),(0,3),(0,4),(1,7),(2,6),(2,8),(3,5),(3,8),(4,5),(4,6),(5,9),(6,9),(8,1),(8,9),(9,7)],10) => ([(1,3),(2,3)],4) => 1

([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(3,4),(6,3),(7,2),(7,4)],8) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => ([(0,2),(1,2)],3) => 2

([(1,4),(1,7),(2,3),(2,5),(5,7),(7,6)],8) => ([(0,3),(2,1),(3,2)],4) => ([(0,2),(2,1)],3) => 3

([(0,7),(1,4),(1,5),(4,7),(5,3),(5,6),(7,2),(7,6)],8) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(1,3),(1,4),(2,5),(3,5),(3,6),(4,2),(4,6),(5,7),(6,7)],8) => ([(0,3),(2,1),(3,2)],4) => ([(0,2),(2,1)],3) => 3

([(0,2),(0,3),(0,7),(1,6),(1,7),(3,5),(3,6),(6,4),(7,4),(7,5)],8) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,3),(2,1),(3,2)],4) => 4

([(1,5),(1,6),(1,7),(2,3),(2,4),(3,7),(4,5),(4,6),(4,7)],8) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(1,6),(1,7),(2,4),(2,7),(3,5),(3,6),(5,7)],8) => ([(0,3),(0,4),(2,6),(3,5),(4,2),(4,5),(5,6),(6,1)],7) => ([(0,3),(1,2),(2,3)],4) => 2

([(0,7),(1,6),(2,3),(2,4),(2,6),(4,5),(6,7)],8) => ([(0,1),(0,2),(1,3),(2,3)],4) => ([],2) => 1

([(0,6),(1,7),(2,5),(3,4),(3,5),(4,6),(4,7),(5,7)],8) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(0,6),(0,7),(1,6),(1,7),(2,3),(5,2),(6,4),(6,5),(7,4),(7,5)],8) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,3),(2,1),(3,2)],4) => 4

([(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(3,6),(7,4),(7,5)],8) => ([(0,3),(2,1),(3,2)],4) => ([(0,2),(2,1)],3) => 3

([(0,6),(1,5),(2,4),(2,7),(7,3)],8) => ([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(4,7),(5,7),(6,7)],8) => ([],3) => 1

([(1,4),(1,5),(1,6),(3,7),(4,7),(5,3),(6,2)],8) => ([(0,1),(0,2),(1,3),(2,3)],4) => ([],2) => 1

([(0,5),(0,7),(1,4),(1,6),(2,3),(2,5),(4,7),(5,6)],8) => ([(0,4),(0,5),(1,8),(2,6),(3,6),(4,7),(5,1),(5,7),(7,8),(8,2),(8,3)],9) => ([(0,3),(0,4),(1,2),(2,3),(2,4)],5) => 2

([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(4,3),(5,4),(6,3),(7,2),(7,4)],8) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(0,6),(0,7),(1,6),(1,7),(2,5),(3,4),(3,6),(4,7),(5,7)],8) => ([(0,1),(0,2),(1,3),(2,3)],4) => ([],2) => 1

([(0,6),(1,3),(1,5),(3,7),(4,6),(5,2),(5,7),(7,4)],8) => ([(0,3),(2,1),(3,2)],4) => ([(0,2),(2,1)],3) => 3

([(1,7),(2,4),(4,7),(6,3),(7,5),(7,6)],8) => ([(0,3),(2,1),(3,2)],4) => ([(0,2),(2,1)],3) => 3

([(1,7),(2,5),(2,6),(3,4),(3,5),(4,7),(7,6)],8) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(0,6),(0,7),(1,6),(1,7),(3,5),(4,3),(5,2),(7,4)],8) => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => ([(0,4),(2,3),(3,1),(4,2)],5) => 5

([(0,6),(1,4),(2,3),(2,7),(4,7),(6,5),(7,6)],8) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => ([(0,2),(1,2)],3) => 2

([(0,7),(1,7),(2,3),(2,7),(4,6),(5,6),(7,4),(7,5)],8) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(1,6),(1,7),(2,6),(2,7),(4,3),(5,3),(6,4),(6,5),(7,4),(7,5)],8) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(0,4),(0,5),(1,11),(2,8),(2,10),(3,1),(3,10),(4,2),(4,6),(5,3),(5,6),(6,8),(6,10),(8,9),(8,11),(9,7),(10,9),(10,11),(11,7)],12) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(0,5),(0,6),(1,8),(1,10),(2,8),(2,10),(3,2),(3,11),(4,1),(4,11),(5,3),(5,7),(6,4),(6,7),(7,11),(8,9),(10,9),(11,10)],12) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => ([(0,2),(1,2)],3) => 2

([(0,6),(0,7),(1,15),(1,16),(2,11),(3,5),(3,12),(4,2),(4,13),(5,1),(5,10),(6,3),(6,9),(7,4),(7,9),(9,12),(9,13),(10,15),(11,16),(12,10),(12,14),(13,11),(13,14),(14,15),(14,16),(15,8),(16,8)],17) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,3),(2,1),(3,2)],4) => 4

([(0,1),(0,2),(1,3),(1,13),(2,4),(2,13),(3,10),(3,12),(4,11),(4,12),(5,14),(7,6),(8,7),(8,14),(9,7),(9,14),(10,8),(10,9),(11,5),(11,8),(12,5),(12,9),(13,10),(13,11),(14,6)],15) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(0,5),(0,6),(1,13),(2,10),(2,12),(3,4),(3,12),(4,1),(4,14),(5,3),(5,7),(6,2),(6,7),(7,10),(7,12),(9,8),(10,11),(10,14),(11,9),(11,13),(12,11),(12,14),(13,8),(14,9),(14,13)],15) => ([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6) => ([(0,1),(0,2),(1,3),(2,3)],4) => 3

([(0,7),(0,8),(1,15),(2,14),(3,5),(3,11),(4,6),(4,12),(5,2),(5,16),(6,1),(6,16),(7,3),(7,9),(8,4),(8,9),(9,11),(9,12),(11,13),(11,16),(12,13),(12,16),(13,14),(13,15),(14,10),(15,10),(16,14),(16,15)],17) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => ([(0,2),(1,2)],3) => 2

([(0,6),(0,7),(1,16),(2,11),(2,14),(3,1),(3,14),(4,3),(4,10),(5,2),(5,12),(6,4),(6,9),(7,5),(7,9),(9,10),(9,12),(10,13),(10,14),(11,15),(11,16),(12,11),(12,13),(13,15),(14,15),(14,16),(15,8),(16,8)],17) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(0,7),(0,8),(1,15),(2,14),(2,15),(3,2),(3,16),(4,6),(4,13),(5,3),(5,11),(6,1),(6,12),(7,4),(7,10),(8,5),(8,10),(10,11),(10,13),(11,16),(12,14),(12,15),(13,12),(13,16),(14,9),(15,9),(16,14)],17) => ([(0,3),(0,4),(2,6),(3,5),(4,2),(4,5),(5,6),(6,1)],7) => ([(0,3),(1,2),(2,3)],4) => 2

([(0,1),(0,2),(1,4),(1,13),(2,3),(2,13),(3,10),(3,12),(4,11),(4,12),(5,14),(7,6),(8,7),(8,14),(9,7),(9,14),(10,5),(10,8),(11,5),(11,9),(12,8),(12,9),(13,10),(13,11),(14,6)],15) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(0,6),(0,7),(1,4),(2,3),(2,5),(3,7),(4,6),(4,7),(6,5)],8) => ([(0,1),(0,2),(1,3),(2,3)],4) => ([],2) => 1

([(0,5),(0,7),(1,3),(2,4),(3,6),(3,7),(4,5),(4,7),(5,6)],8) => ([(0,1),(0,2),(1,3),(2,3)],4) => ([],2) => 1

([(0,3),(0,6),(1,4),(1,5),(2,3),(2,4),(2,5),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(0,6),(0,7),(1,6),(1,7),(2,3),(2,7),(4,5),(6,4)],8) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,3),(2,1),(3,2)],4) => 4

([(0,5),(0,6),(1,3),(1,4),(1,7),(4,6),(5,7),(7,2)],8) => ([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7) => ([(0,2),(0,3),(3,1)],4) => 2

([(0,4),(0,7),(1,5),(1,7),(3,6),(5,3),(7,2),(7,6)],8) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => ([(0,2),(1,2)],3) => 2

([(0,7),(1,5),(1,6),(1,7),(2,3),(2,5),(3,6),(3,7),(7,4)],8) => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => ([(0,4),(2,3),(3,1),(4,2)],5) => 5

([(0,7),(1,6),(1,7),(2,3),(2,6),(3,7),(4,5),(6,4)],8) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,3),(2,1),(3,2)],4) => 4

([(0,5),(1,3),(1,7),(2,6),(2,7),(3,6),(6,4),(7,4),(7,5)],8) => ([(0,3),(2,1),(3,2)],4) => ([(0,2),(2,1)],3) => 3

([(0,5),(0,6),(0,7),(1,4),(1,6),(1,7),(2,3),(2,6),(2,7),(3,5),(5,4)],8) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,3),(2,1),(3,2)],4) => 4

([(0,5),(0,7),(1,5),(1,6),(1,7),(2,3),(2,7),(3,6),(6,4)],8) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,3),(2,1),(3,2)],4) => 4

([(0,7),(1,5),(2,5),(2,7),(5,6),(7,3),(7,4),(7,6)],8) => ([(0,3),(2,1),(3,2)],4) => ([(0,2),(2,1)],3) => 3

([(0,7),(1,5),(1,6),(1,7),(2,4),(2,7),(4,5),(4,6),(7,3)],8) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,3),(2,1),(3,2)],4) => 4

([(0,4),(0,6),(1,5),(1,6),(1,7),(4,7),(5,3),(7,2)],8) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => ([(1,2)],3) => 1

([(0,7),(1,5),(1,7),(4,6),(5,4),(7,2),(7,3),(7,6)],8) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(1,6),(1,7),(2,5),(2,7),(3,4),(3,5),(3,6),(4,7)],8) => ([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6) => ([(0,1),(0,2),(1,3),(2,3)],4) => 3

([(2,6),(2,7),(3,4),(4,5),(5,6),(5,7)],8) => ([(0,3),(2,1),(3,2)],4) => ([(0,2),(2,1)],3) => 3

([(0,4),(0,6),(0,7),(1,3),(1,5),(2,7),(3,6),(3,7),(5,2)],8) => ([(0,3),(0,4),(2,6),(3,5),(4,2),(4,5),(5,6),(6,1)],7) => ([(0,3),(1,2),(2,3)],4) => 2

([(0,5),(1,2),(1,3),(1,4),(4,6),(4,7),(5,6),(5,7)],8) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(0,4),(1,3),(1,5),(2,6),(3,6),(3,7),(5,2),(5,7)],8) => ([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8) => ([(1,2),(2,3)],4) => 1

([(0,6),(1,6),(1,7),(2,5),(2,7),(3,4),(3,5),(4,6),(4,7)],8) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(3,6),(3,7),(5,4)],8) => ([(0,3),(2,1),(3,2)],4) => ([(0,2),(2,1)],3) => 3

([(0,4),(0,7),(1,4),(1,6),(1,7),(2,3),(2,7),(3,6),(4,5),(7,5)],8) => ([(0,3),(2,1),(3,2)],4) => ([(0,2),(2,1)],3) => 3

([(2,6),(2,7),(3,6),(3,7),(4,5),(7,4)],8) => ([(0,3),(2,1),(3,2)],4) => ([(0,2),(2,1)],3) => 3

([(0,5),(1,4),(1,6),(4,7),(5,3),(5,6),(5,7),(7,2)],8) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(1,7),(2,3),(2,7),(3,5),(3,6),(5,4),(6,4),(7,5),(7,6)],8) => ([(0,3),(2,1),(3,2)],4) => ([(0,2),(2,1)],3) => 3

([(0,6),(1,3),(1,6),(2,4),(2,5),(3,7),(6,7),(7,4),(7,5)],8) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(0,7),(1,2),(1,3),(1,7),(3,5),(3,6),(5,4),(6,4),(7,5),(7,6)],8) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(0,7),(1,7),(2,3),(2,5),(2,6),(5,4),(6,4),(7,5),(7,6)],8) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(0,4),(0,7),(1,4),(1,7),(2,3),(2,6),(2,7),(4,6),(6,5),(7,5)],8) => ([(0,3),(2,1),(3,2)],4) => ([(0,2),(2,1)],3) => 3

([(0,3),(0,4),(1,6),(1,7),(2,6),(2,7),(5,4),(6,5),(7,5)],8) => ([(0,1),(0,2),(1,3),(2,3)],4) => ([],2) => 1

([(1,5),(2,6),(3,4),(3,5),(4,7),(5,7),(7,6)],8) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(0,5),(1,4),(1,5),(2,3),(2,6),(4,7),(5,7),(7,6)],8) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => ([(1,2)],3) => 1

([(0,6),(1,6),(1,7),(2,3),(2,5),(2,7),(5,4),(6,5),(7,4)],8) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,3),(2,1),(3,2)],4) => 4

([(0,7),(1,3),(1,4),(1,7),(2,6),(4,2),(4,5),(5,6),(7,5)],8) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => ([(0,2),(1,2)],3) => 2

([(0,2),(0,3),(0,7),(1,6),(1,7),(3,5),(3,6),(5,4),(6,4),(7,5)],8) => ([(0,3),(2,1),(3,2)],4) => ([(0,2),(2,1)],3) => 3

([(0,6),(0,7),(1,2),(1,6),(1,7),(3,4),(5,4),(6,5),(7,3),(7,5)],8) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(0,4),(0,6),(0,7),(1,4),(1,6),(1,7),(2,3),(5,3),(6,5),(7,2),(7,5)],8) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(1,5),(2,3),(2,5),(3,4),(3,7),(4,6),(5,7),(7,6)],8) => ([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6) => ([(0,1),(0,2),(1,3),(2,3)],4) => 3

([(0,7),(1,3),(1,7),(2,4),(2,5),(3,5),(3,6),(6,4),(7,6)],8) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(0,6),(0,7),(1,6),(1,7),(3,2),(3,4),(5,4),(6,5),(7,3),(7,5)],8) => ([(0,4),(1,6),(2,6),(4,5),(5,1),(5,2),(6,3)],7) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => 4

([(0,7),(1,2),(1,7),(2,3),(2,6),(3,4),(3,5),(6,5),(7,4),(7,6)],8) => ([(0,6),(2,7),(3,7),(4,1),(5,4),(6,2),(6,3),(7,5)],8) => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6) => 5

([(0,4),(0,7),(1,5),(1,7),(2,3),(2,4),(3,6),(3,7),(4,6),(6,5)],8) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(1,3),(1,5),(2,5),(2,7),(3,6),(3,7),(5,6),(6,4),(7,4)],8) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,3),(2,1),(3,2)],4) => 4

([(1,6),(1,7),(2,6),(2,7),(3,4),(5,4),(6,5),(7,3),(7,5)],8) => ([(0,3),(2,1),(3,2)],4) => ([(0,2),(2,1)],3) => 3

([(0,3),(0,6),(0,7),(1,3),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(5,4),(7,4)],8) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(0,3),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(4,3),(5,4),(6,4)],8) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(0,6),(0,7),(1,3),(1,4),(2,4),(2,6),(2,7),(5,3),(6,5),(7,5)],8) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(0,6),(0,7),(1,4),(1,6),(1,7),(2,4),(2,5),(2,7),(5,3),(6,5),(7,3)],8) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(0,7),(1,4),(1,7),(3,6),(4,2),(4,3),(4,5),(5,6),(7,5)],8) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(0,6),(1,4),(1,5),(1,7),(2,4),(2,6),(2,7),(5,3),(6,5),(7,3)],8) => ([(0,3),(2,1),(3,2)],4) => ([(0,2),(2,1)],3) => 3

([(0,7),(1,4),(1,5),(2,3),(2,5),(2,7),(3,6),(6,4),(7,6)],8) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => ([(0,1),(0,2)],3) => 2

([(0,5),(1,5),(2,3),(2,6),(3,4),(3,7),(5,6),(6,7)],8) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(0,7),(1,3),(1,4),(1,7),(3,5),(4,2),(4,6),(5,6),(7,5)],8) => ([(0,1),(0,2),(1,3),(2,3)],4) => ([],2) => 1

([(0,2),(0,4),(1,8),(2,5),(2,6),(3,1),(3,7),(3,9),(4,3),(4,5),(4,6),(5,9),(6,7),(6,9),(7,8),(9,8)],10) => ([(0,3),(2,1),(3,2)],4) => ([(0,2),(2,1)],3) => 3

([(0,2),(0,4),(1,11),(2,5),(2,6),(2,7),(3,1),(3,8),(3,9),(3,10),(4,3),(4,5),(4,6),(4,7),(5,9),(5,10),(6,8),(6,10),(7,8),(7,9),(8,11),(9,11),(10,11)],12) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(1,6),(2,5),(3,4),(4,7),(5,7),(6,7)],8) => ([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(4,7),(5,7),(6,7)],8) => ([],3) => 1

([(0,7),(1,7),(2,4),(3,5),(5,6),(6,7)],8) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => ([(1,2)],3) => 1

([(0,6),(1,5),(1,6),(2,3),(2,4),(4,7),(5,7),(6,7)],8) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(1,3),(1,4),(1,5),(3,6),(3,7),(4,6),(4,7),(5,2)],8) => ([(0,1),(0,2),(1,3),(2,3)],4) => ([],2) => 1

([(0,3),(0,4),(0,5),(0,6),(0,7),(6,2),(7,1)],8) => ([(0,1),(0,2),(1,3),(2,3)],4) => ([],2) => 1

([(1,5),(1,6),(1,7),(5,4),(6,3),(7,2)],8) => ([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(4,7),(5,7),(6,7)],8) => ([],3) => 1

([(0,7),(1,3),(1,4),(1,5),(3,7),(4,6),(5,2),(5,6)],8) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(6,4),(7,3)],8) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => ([(0,1),(0,2)],3) => 2

([(1,3),(2,5),(2,6),(4,7),(5,7),(6,4)],8) => ([(0,1),(0,2),(1,3),(2,3)],4) => ([],2) => 1

([(1,5),(1,7),(2,5),(2,7),(3,4),(3,7),(4,6),(7,6)],8) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(0,5),(0,6),(0,7),(1,4),(2,3),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => ([(0,2),(1,2)],3) => 2

([(1,5),(1,6),(2,3),(2,4),(3,7),(4,5),(4,6),(4,7)],8) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(0,7),(1,7),(2,3),(2,6),(3,4),(3,5),(7,4),(7,5),(7,6)],8) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(0,6),(0,7),(1,5),(1,7),(2,5),(2,7),(5,6),(7,3),(7,4)],8) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(0,4),(0,7),(1,4),(1,7),(2,3),(2,5),(2,6),(3,7),(4,5),(4,6)],8) => ([(0,3),(2,1),(3,2)],4) => ([(0,2),(2,1)],3) => 3

([(0,5),(1,3),(1,4),(1,7),(6,2),(7,6)],8) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => ([(1,2)],3) => 1

([(0,7),(1,6),(1,7),(2,5),(3,4),(3,7),(4,6),(5,6),(5,7)],8) => ([(0,1),(0,2),(1,3),(2,3)],4) => ([],2) => 1

([(0,5),(1,5),(1,7),(2,3),(2,6),(3,4),(3,7),(5,6)],8) => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => ([(0,4),(2,3),(3,1),(4,2)],5) => 5

([(0,6),(1,6),(1,7),(2,5),(3,4),(3,7),(4,6),(5,7)],8) => ([(0,1),(0,2),(1,3),(2,3)],4) => ([],2) => 1

([(1,6),(2,5),(3,4),(3,5),(4,7),(5,6),(5,7)],8) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(0,6),(1,7),(2,5),(3,4),(3,5),(4,7),(5,6),(5,7)],8) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(0,7),(1,4),(2,3),(2,5),(3,6),(3,7),(4,5),(5,6),(5,7)],8) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => ([(0,2),(1,2)],3) => 2

([(0,5),(1,3),(2,4),(2,5),(3,6),(3,7),(4,6),(4,7),(5,7)],8) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => ([(1,2)],3) => 1

([(0,6),(1,2),(1,4),(1,6),(2,7),(3,5),(3,7),(4,5),(4,7),(6,3)],8) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(0,4),(1,2),(1,3),(1,5),(2,7),(3,6),(3,7),(4,5),(5,6),(5,7)],8) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(4,5),(5,6),(5,7)],8) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(0,6),(0,7),(1,5),(1,6),(2,4),(2,5),(4,7),(5,7),(6,3)],8) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,3),(2,1),(3,2)],4) => 4

([(0,5),(1,6),(2,5),(2,7),(3,4),(3,6),(4,7),(6,7)],8) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(0,5),(1,6),(2,5),(2,7),(3,4),(3,6),(4,7)],8) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(0,5),(1,3),(1,4),(1,7),(4,6),(5,6),(5,7),(7,2)],8) => ([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6) => ([(0,3),(3,1),(3,2)],4) => 3

([(0,6),(0,7),(1,6),(1,7),(2,5),(3,4),(3,6),(5,7)],8) => ([(0,1),(0,2),(1,3),(2,3)],4) => ([],2) => 1

([(0,7),(1,6),(1,7),(2,5),(3,4),(3,7),(5,6)],8) => ([(0,1),(0,2),(1,3),(2,3)],4) => ([],2) => 1

([(2,5),(3,4),(3,7),(5,6),(6,7)],8) => ([(0,3),(0,4),(2,6),(3,5),(4,2),(4,5),(5,6),(6,1)],7) => ([(0,3),(1,2),(2,3)],4) => 2

([(0,6),(0,7),(1,4),(2,3),(2,6),(2,7),(4,5),(5,7)],8) => ([(0,4),(0,5),(2,8),(3,7),(4,3),(4,6),(5,2),(5,6),(6,7),(6,8),(7,9),(8,9),(9,1)],10) => ([(0,3),(1,2),(2,4),(3,4)],5) => 2

([(0,4),(1,3),(1,5),(1,6),(4,6),(5,2),(5,7),(6,7)],8) => ([(0,3),(0,4),(2,6),(3,5),(4,2),(4,5),(5,6),(6,1)],7) => ([(0,3),(1,2),(2,3)],4) => 2

([(0,7),(1,3),(1,5),(1,7),(4,6),(5,2),(5,6),(7,4)],8) => ([(0,3),(0,4),(2,6),(3,5),(4,2),(4,5),(5,6),(6,1)],7) => ([(0,3),(1,2),(2,3)],4) => 2

([(0,7),(1,6),(2,5),(2,7),(6,3),(7,4)],8) => ([(0,4),(0,5),(1,9),(2,3),(2,11),(3,8),(4,1),(4,10),(5,2),(5,10),(7,6),(8,6),(9,7),(10,9),(10,11),(11,7),(11,8)],12) => ([(0,3),(1,4),(4,2)],5) => 1

([(0,6),(1,3),(2,4),(2,6),(2,7),(3,7),(4,5)],8) => ([(0,1),(0,2),(1,11),(2,4),(2,5),(2,11),(3,6),(3,7),(4,8),(4,10),(5,8),(5,9),(6,13),(7,13),(8,12),(9,6),(9,12),(10,7),(10,12),(11,3),(11,9),(11,10),(12,13)],14) => ([(0,4),(1,2),(1,3),(1,4)],5) => 1

([(0,5),(1,3),(2,4),(2,5),(2,6),(3,6),(4,7),(5,7)],8) => ([(0,3),(0,4),(1,6),(2,5),(3,7),(4,2),(4,7),(5,6),(7,1),(7,5)],8) => ([(0,3),(1,2),(1,3)],4) => 1

([(0,6),(1,3),(1,4),(1,6),(2,7),(3,5),(3,7),(4,5),(4,7),(6,2)],8) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(0,4),(1,2),(1,3),(1,6),(2,5),(2,7),(3,5),(3,7),(4,6),(6,7)],8) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(4,5),(5,7)],8) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(1,6),(1,7),(2,6),(2,7),(3,4),(4,5),(5,7)],8) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(1,4),(2,3),(2,6),(3,5),(3,7),(4,6),(6,7)],8) => ([(0,4),(0,5),(1,6),(3,7),(4,8),(5,1),(5,8),(6,7),(7,2),(8,3),(8,6)],9) => ([(0,3),(1,2),(1,3),(2,4),(3,4)],5) => 2

([(0,5),(0,7),(1,3),(2,4),(2,6),(3,6),(4,5),(4,7),(6,7)],8) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => ([(0,2),(1,2)],3) => 2

([(1,6),(1,7),(2,4),(3,5),(3,7),(4,7),(5,6)],8) => ([(0,1),(0,2),(1,3),(2,3)],4) => ([],2) => 1

([(1,6),(1,7),(2,4),(2,7),(4,5),(5,6),(7,3)],8) => ([(0,5),(1,7),(2,8),(3,6),(4,3),(4,8),(5,2),(5,4),(6,7),(8,1),(8,6)],9) => ([(0,2),(0,3),(2,4),(3,1),(3,4)],5) => 2

([(0,7),(1,5),(1,6),(2,3),(2,5),(3,4),(4,6),(5,7)],8) => ([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6) => ([(0,1),(0,2),(1,3),(2,3)],4) => 3

([(0,6),(0,7),(1,6),(1,7),(2,4),(2,7),(4,5),(5,6),(7,3)],8) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(0,7),(1,7),(2,6),(5,3),(6,5),(6,7),(7,4)],8) => ([(0,3),(2,1),(3,2)],4) => ([(0,2),(2,1)],3) => 3

([(0,6),(1,3),(2,4),(2,6),(4,5),(4,7),(6,7)],8) => ([(0,4),(0,5),(1,9),(1,10),(2,8),(2,10),(3,7),(4,6),(5,1),(5,2),(5,6),(6,8),(6,9),(8,11),(9,11),(10,3),(10,11),(11,7)],12) => ([(1,2),(1,3),(2,4),(3,4)],5) => 1

([(0,4),(0,7),(1,5),(1,7),(4,6),(5,3),(7,2),(7,6)],8) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => ([(1,2)],3) => 1

([(0,3),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(5,4)],8) => ([(0,4),(1,7),(2,6),(3,1),(3,6),(4,5),(5,2),(5,3),(6,7)],8) => ([(0,4),(3,2),(4,1),(4,3)],5) => 3

([(0,7),(1,5),(1,6),(1,7),(2,3),(2,5),(2,7),(3,4),(4,6)],8) => ([(0,5),(1,7),(2,8),(3,6),(4,3),(4,8),(5,2),(5,4),(6,7),(8,1),(8,6)],9) => ([(0,2),(0,3),(2,4),(3,1),(3,4)],5) => 2

([(0,7),(1,7),(2,4),(2,6),(2,7),(5,3),(6,5)],8) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(1,7),(2,4),(2,6),(2,7),(5,3),(6,5)],8) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => ([(1,2)],3) => 1

([(1,7),(2,6),(2,7),(3,5),(3,6),(7,4)],8) => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,3),(2,1),(3,2)],4) => 4

([(0,5),(0,7),(1,5),(1,6),(1,7),(2,3),(2,7),(3,6),(5,4)],8) => ([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6) => ([(0,3),(3,1),(3,2)],4) => 3

([(0,6),(1,4),(2,3),(2,6),(2,7),(4,7),(6,5)],8) => ([(0,3),(0,5),(1,7),(2,8),(3,10),(4,2),(4,6),(5,4),(5,10),(6,7),(6,8),(7,9),(8,9),(10,1),(10,6)],11) => ([(0,4),(1,2),(1,4),(2,3)],5) => 1

([(0,7),(1,6),(1,7),(2,4),(2,7),(4,5),(4,6),(7,3)],8) => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => ([(0,4),(2,3),(3,1),(4,2)],5) => 5

([(0,6),(1,5),(1,6),(5,3),(5,4),(5,7),(6,7),(7,2)],8) => ([(0,3),(2,1),(3,2)],4) => ([(0,2),(2,1)],3) => 3

([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(3,7),(7,4)],8) => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6) => ([(0,3),(1,3),(3,2)],4) => 3

([(0,3),(1,4),(1,5),(1,6),(2,5),(2,6),(2,7),(3,7),(7,4)],8) => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6) => ([(0,3),(1,3),(3,2)],4) => 3

([(1,5),(2,3),(2,4),(2,7),(5,7),(7,6)],8) => ([(0,3),(2,1),(3,2)],4) => ([(0,2),(2,1)],3) => 3

([(1,6),(2,3),(2,4),(2,7),(5,7),(6,5)],8) => ([(0,3),(2,1),(3,2)],4) => ([(0,2),(2,1)],3) => 3

([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(3,4),(4,7)],8) => ([(0,3),(0,4),(2,6),(3,5),(4,2),(4,5),(5,6),(6,1)],7) => ([(0,3),(1,2),(2,3)],4) => 2

([(0,4),(1,5),(1,7),(4,7),(5,2),(5,3),(5,6),(7,6)],8) => ([(0,3),(2,1),(3,2)],4) => ([(0,2),(2,1)],3) => 3

([(0,7),(1,5),(1,7),(4,6),(5,2),(5,3),(5,6),(7,4)],8) => ([(0,3),(2,1),(3,2)],4) => ([(0,2),(2,1)],3) => 3

([(0,3),(0,5),(0,7),(1,4),(1,6),(1,7),(2,5),(3,6),(4,2)],8) => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => ([(1,2)],3) => 1

([(1,7),(2,7),(3,4),(4,6),(7,5)],8) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(1,7),(2,5),(3,4),(3,7),(5,6)],8) => ([(0,3),(0,4),(1,7),(2,6),(3,2),(3,5),(4,1),(4,5),(5,6),(5,7),(6,8),(7,8)],9) => ([(0,3),(1,2)],4) => 1

([(0,6),(1,5),(1,7),(2,4),(2,7),(6,3)],8) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(0,6),(0,7),(1,3),(1,4),(1,7),(5,2),(6,5)],8) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(0,6),(1,2),(1,3),(1,4),(1,7),(5,7),(6,5)],8) => ([(0,3),(2,1),(3,2)],4) => ([(0,2),(2,1)],3) => 3

([(0,4),(0,7),(1,3),(1,5),(3,6),(3,7),(4,6),(5,2)],8) => ([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8) => ([(1,2),(2,3)],4) => 1

([(0,5),(0,6),(0,7),(1,3),(2,4),(2,6),(3,6),(3,7),(4,5),(4,7)],8) => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => ([(0,2),(1,2)],3) => 2

([(1,2),(1,4),(2,5),(3,6),(3,7),(4,3),(4,5),(5,6),(5,7)],8) => ([(0,3),(2,1),(3,2)],4) => ([(0,2),(2,1)],3) => 3

([(0,7),(1,3),(1,4),(2,6),(2,7),(3,5),(4,2),(4,5),(5,6),(5,7)],8) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(0,6),(0,7),(1,3),(1,4),(2,6),(2,7),(3,5),(4,2),(4,5),(5,6),(5,7)],8) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(0,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(0,3),(0,6),(0,7),(1,4),(1,5),(2,3),(2,4),(2,5),(4,6),(4,7),(5,6),(5,7)],8) => ([(0,3),(2,1),(3,2)],4) => ([(0,2),(2,1)],3) => 3

([(0,4),(0,7),(1,5),(1,6),(2,4),(2,5),(2,6),(5,3),(5,7),(6,3),(6,7)],8) => ([(0,3),(2,1),(3,2)],4) => ([(0,2),(2,1)],3) => 3

([(0,4),(1,5),(1,6),(2,4),(2,5),(2,6),(4,7),(5,3),(5,7),(6,3),(6,7)],8) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(0,6),(0,7),(1,4),(1,7),(3,2),(3,5),(4,3),(4,6),(6,5)],8) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(0,2),(0,6),(1,5),(1,6),(1,7),(2,3),(2,7),(3,4),(3,5),(7,4)],8) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(0,3),(0,5),(1,5),(1,6),(1,7),(3,6),(3,7),(6,4),(7,2),(7,4)],8) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(0,6),(0,7),(1,6),(1,7),(3,5),(4,2),(4,5),(7,3),(7,4)],8) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(0,4),(1,5),(1,6),(2,4),(2,5),(2,6),(4,7),(5,7),(6,3),(6,7)],8) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => ([(0,1),(0,2)],3) => 2

([(0,5),(0,6),(1,4),(1,7),(2,4),(2,5),(2,6),(5,7),(6,3),(6,7)],8) => ([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6) => ([(0,1),(0,2),(1,3),(2,3)],4) => 3

([(1,3),(1,5),(3,6),(4,2),(4,7),(5,4),(5,6),(6,7)],8) => ([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6) => ([(0,1),(0,2),(1,3),(2,3)],4) => 3

([(0,7),(1,3),(1,5),(3,6),(4,2),(4,7),(5,4),(5,6),(6,7)],8) => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => ([(0,1),(0,2)],3) => 2

([(0,7),(1,3),(1,4),(3,7),(4,5),(4,7),(5,2),(5,6),(7,6)],8) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(1,3),(1,4),(3,5),(3,7),(4,5),(4,7),(5,6),(7,2),(7,6)],8) => ([(0,3),(2,1),(3,2)],4) => ([(0,2),(2,1)],3) => 3

([(0,7),(1,3),(1,4),(3,5),(3,6),(4,5),(4,6),(5,7),(6,2),(6,7)],8) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(0,6),(1,3),(1,7),(2,6),(2,7),(3,4),(3,5),(7,4),(7,5)],8) => ([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6) => ([(0,3),(3,1),(3,2)],4) => 3

([(0,6),(0,7),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(3,7),(4,2),(4,7)],8) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(0,5),(0,6),(0,7),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(3,7),(4,2),(4,7)],8) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(0,6),(0,7),(1,3),(1,5),(3,6),(3,7),(4,2),(4,7),(5,4),(5,6)],8) => ([(0,3),(2,1),(3,2)],4) => ([(0,2),(2,1)],3) => 3

([(1,4),(1,5),(2,3),(2,5),(2,6),(4,6),(4,7),(5,7)],8) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(0,6),(1,3),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(7,4)],8) => ([(0,4),(1,7),(2,6),(3,1),(3,6),(4,5),(5,2),(5,3),(6,7)],8) => ([(0,4),(3,2),(4,1),(4,3)],5) => 3

([(0,7),(1,3),(1,7),(2,5),(2,6),(3,4),(3,5),(3,6),(7,4)],8) => ([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6) => ([(0,1),(0,2),(1,3),(2,3)],4) => 3

([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(5,4),(6,2),(6,3),(7,2),(7,3),(7,4)],8) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(0,6),(0,7),(1,2),(1,6),(1,7),(2,4),(2,5),(6,3),(7,3),(7,4),(7,5)],8) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

([(0,4),(0,6),(0,7),(1,2),(1,3),(1,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5)],8) => ([(0,3),(2,1),(3,2)],4) => ([(0,2),(2,1)],3) => 3

([(0,6),(0,7),(1,2),(1,3),(1,6),(2,5),(2,7),(3,4),(3,5),(3,7),(6,4)],8) => ([(0,3),(2,1),(3,2)],4) => ([(0,2),(2,1)],3) => 3

([(0,6),(0,7),(1,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => ([(0,2),(2,1)],3) => ([(0,1)],2) => 2

search for individual values

searching the database for the individual values of this statistic

Description

The number of ordinal summands 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 length of the longest ordinal decomposition of a poset.

Map

join irreducibles

Description

The poset of join irreducibles of a lattice.

Map

antichains of maximal size

Description

The lattice of antichains of maximal size in a poset.
The set of antichains of maximal size can be ordered by setting $A \leq B \leftrightarrow \mathop{\downarrow} A \subseteq \mathop{\downarrow} B$, where $\mathop{\downarrow} A$ is the order ideal generated by $A$.
This is a sublattice of the lattice of all antichains with respect to the same order relation. In particular, it is distributive.