Identifier
-
Mp00209:
Permutations
—pattern poset⟶
Posets
St000069: Posets ⟶ ℤ
Values
[1] => ([],1) => 1
[1,2] => ([(0,1)],2) => 1
[2,1] => ([(0,1)],2) => 1
[1,2,3] => ([(0,2),(2,1)],3) => 1
[1,3,2] => ([(0,1),(0,2),(1,3),(2,3)],4) => 1
[2,1,3] => ([(0,1),(0,2),(1,3),(2,3)],4) => 1
[2,3,1] => ([(0,1),(0,2),(1,3),(2,3)],4) => 1
[3,1,2] => ([(0,1),(0,2),(1,3),(2,3)],4) => 1
[3,2,1] => ([(0,2),(2,1)],3) => 1
[1,2,3,4] => ([(0,3),(2,1),(3,2)],4) => 1
[1,2,4,3] => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => 1
[1,3,2,4] => ([(0,1),(0,2),(0,3),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(6,5)],7) => 1
[1,3,4,2] => ([(0,1),(0,2),(0,3),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(6,5)],7) => 1
[1,4,2,3] => ([(0,1),(0,2),(0,3),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(6,5)],7) => 1
[1,4,3,2] => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => 1
[2,1,3,4] => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => 1
[2,1,4,3] => ([(0,1),(0,2),(1,4),(1,5),(2,4),(2,5),(4,3),(5,3)],6) => 1
[2,3,1,4] => ([(0,1),(0,2),(0,3),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(6,5)],7) => 1
[2,3,4,1] => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => 1
[2,4,1,3] => ([(0,1),(0,2),(0,3),(0,4),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(6,5),(7,5)],8) => 1
[2,4,3,1] => ([(0,1),(0,2),(0,3),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(6,5)],7) => 1
[3,1,2,4] => ([(0,1),(0,2),(0,3),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(6,5)],7) => 1
[3,1,4,2] => ([(0,1),(0,2),(0,3),(0,4),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(6,5),(7,5)],8) => 1
[3,2,1,4] => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => 1
[3,2,4,1] => ([(0,1),(0,2),(0,3),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(6,5)],7) => 1
[3,4,1,2] => ([(0,1),(0,2),(1,4),(1,5),(2,4),(2,5),(4,3),(5,3)],6) => 1
[3,4,2,1] => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => 1
[4,1,2,3] => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => 1
[4,1,3,2] => ([(0,1),(0,2),(0,3),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(6,5)],7) => 1
[4,2,1,3] => ([(0,1),(0,2),(0,3),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(6,5)],7) => 1
[4,2,3,1] => ([(0,1),(0,2),(0,3),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(6,5)],7) => 1
[4,3,1,2] => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => 1
[4,3,2,1] => ([(0,3),(2,1),(3,2)],4) => 1
[1,2,3,4,5] => ([(0,4),(2,3),(3,1),(4,2)],5) => 1
[1,2,3,5,4] => ([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8) => 1
[1,2,4,3,5] => ([(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) => 1
[1,2,4,5,3] => ([(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) => 1
[1,2,5,3,4] => ([(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) => 1
[1,2,5,4,3] => ([(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) => 1
[1,3,2,4,5] => ([(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) => 1
[1,3,2,5,4] => ([(0,1),(0,2),(0,3),(1,7),(1,8),(2,5),(2,8),(3,5),(3,7),(3,8),(5,9),(6,4),(7,6),(7,9),(8,6),(8,9),(9,4)],10) => 1
[1,3,4,2,5] => ([(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) => 1
[1,3,4,5,2] => ([(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) => 1
[1,3,5,2,4] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,10),(1,12),(2,8),(2,10),(2,12),(3,7),(3,10),(3,12),(4,6),(4,10),(4,12),(5,6),(5,7),(5,8),(5,12),(6,11),(6,13),(7,11),(7,13),(8,11),(8,13),(10,13),(11,9),(12,11),(12,13),(13,9)],14) => 1
[1,3,5,4,2] => ([(0,1),(0,2),(0,3),(0,4),(1,6),(1,11),(2,5),(2,11),(3,5),(3,7),(3,11),(4,6),(4,7),(4,11),(5,9),(6,10),(7,9),(7,10),(9,8),(10,8),(11,9),(11,10)],12) => 1
[1,4,2,3,5] => ([(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) => 1
[1,4,2,5,3] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,10),(1,12),(2,8),(2,10),(2,12),(3,7),(3,10),(3,12),(4,6),(4,10),(4,12),(5,6),(5,7),(5,8),(5,12),(6,11),(6,13),(7,11),(7,13),(8,11),(8,13),(10,13),(11,9),(12,11),(12,13),(13,9)],14) => 1
[1,4,3,2,5] => ([(0,2),(0,3),(0,4),(1,9),(2,5),(2,7),(3,5),(3,6),(4,1),(4,6),(4,7),(5,10),(6,9),(6,10),(7,9),(7,10),(9,8),(10,8)],11) => 1
[1,4,3,5,2] => ([(0,1),(0,2),(0,3),(0,4),(1,5),(1,10),(2,8),(2,9),(2,10),(3,7),(3,9),(3,10),(4,5),(4,7),(4,8),(5,11),(7,11),(7,12),(8,11),(8,12),(9,12),(10,11),(10,12),(11,6),(12,6)],13) => 1
[1,4,5,2,3] => ([(0,1),(0,2),(0,3),(1,5),(1,6),(2,6),(2,7),(2,8),(3,5),(3,7),(3,8),(5,9),(5,10),(6,9),(6,10),(7,10),(8,9),(8,10),(9,4),(10,4)],11) => 1
[1,4,5,3,2] => ([(0,2),(0,3),(0,4),(1,9),(2,5),(2,7),(3,5),(3,6),(4,1),(4,6),(4,7),(5,10),(6,9),(6,10),(7,9),(7,10),(9,8),(10,8)],11) => 1
[1,5,2,3,4] => ([(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) => 1
[1,5,2,4,3] => ([(0,1),(0,2),(0,3),(0,4),(1,6),(1,11),(2,5),(2,11),(3,5),(3,7),(3,11),(4,6),(4,7),(4,11),(5,9),(6,10),(7,9),(7,10),(9,8),(10,8),(11,9),(11,10)],12) => 1
[1,5,3,2,4] => ([(0,1),(0,2),(0,3),(0,4),(1,5),(1,10),(2,8),(2,9),(2,10),(3,7),(3,9),(3,10),(4,5),(4,7),(4,8),(5,11),(7,11),(7,12),(8,11),(8,12),(9,12),(10,11),(10,12),(11,6),(12,6)],13) => 1
[1,5,3,4,2] => ([(0,1),(0,2),(0,3),(0,4),(1,5),(1,10),(2,8),(2,9),(2,10),(3,7),(3,9),(3,10),(4,5),(4,7),(4,8),(5,11),(7,11),(7,12),(8,11),(8,12),(9,12),(10,11),(10,12),(11,6),(12,6)],13) => 1
[1,5,4,2,3] => ([(0,2),(0,3),(0,4),(1,9),(2,5),(2,7),(3,5),(3,6),(4,1),(4,6),(4,7),(5,10),(6,9),(6,10),(7,9),(7,10),(9,8),(10,8)],11) => 1
[1,5,4,3,2] => ([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8) => 1
[2,1,3,4,5] => ([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8) => 1
[2,1,3,5,4] => ([(0,1),(0,2),(0,3),(1,7),(1,8),(2,5),(2,8),(3,5),(3,7),(5,9),(6,4),(7,6),(7,9),(8,6),(8,9),(9,4)],10) => 1
[2,1,4,3,5] => ([(0,1),(0,2),(0,3),(1,7),(1,8),(2,5),(2,8),(3,5),(3,7),(3,8),(5,9),(6,4),(7,6),(7,9),(8,6),(8,9),(9,4)],10) => 1
[2,1,4,5,3] => ([(0,2),(0,3),(0,4),(1,9),(1,10),(2,6),(2,7),(3,5),(3,6),(4,1),(4,5),(4,7),(5,10),(6,9),(6,10),(7,9),(7,10),(9,8),(10,8)],11) => 1
[2,1,5,3,4] => ([(0,2),(0,3),(0,4),(1,9),(1,10),(2,6),(2,7),(3,5),(3,6),(4,1),(4,5),(4,7),(5,10),(6,9),(6,10),(7,9),(7,10),(9,8),(10,8)],11) => 1
[2,1,5,4,3] => ([(0,3),(0,4),(1,8),(2,7),(2,8),(3,1),(3,5),(4,2),(4,5),(5,7),(5,8),(7,6),(8,6)],9) => 1
[2,3,1,4,5] => ([(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) => 1
[2,3,1,5,4] => ([(0,2),(0,3),(0,4),(1,9),(1,10),(2,6),(2,7),(3,5),(3,6),(4,1),(4,5),(4,7),(5,10),(6,9),(6,10),(7,9),(7,10),(9,8),(10,8)],11) => 1
[2,3,4,1,5] => ([(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) => 1
[2,3,4,5,1] => ([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8) => 1
[2,3,5,1,4] => ([(0,2),(0,3),(0,4),(0,5),(1,11),(1,12),(2,9),(2,10),(3,6),(3,9),(4,7),(4,9),(4,10),(5,1),(5,6),(5,7),(5,10),(6,11),(6,12),(7,11),(7,12),(9,12),(10,11),(10,12),(11,8),(12,8)],13) => 1
[2,3,5,4,1] => ([(0,2),(0,3),(0,4),(1,9),(2,5),(2,7),(3,5),(3,6),(4,1),(4,6),(4,7),(5,10),(6,9),(6,10),(7,9),(7,10),(9,8),(10,8)],11) => 1
[2,4,1,3,5] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,10),(1,12),(2,8),(2,10),(2,12),(3,7),(3,10),(3,12),(4,6),(4,10),(4,12),(5,6),(5,7),(5,8),(5,12),(6,11),(6,13),(7,11),(7,13),(8,11),(8,13),(10,13),(11,9),(12,11),(12,13),(13,9)],14) => 1
[2,4,1,5,3] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,10),(1,11),(2,6),(2,9),(2,11),(3,6),(3,9),(3,10),(4,7),(4,9),(4,10),(4,11),(5,7),(5,9),(5,10),(5,11),(6,13),(7,12),(7,13),(9,12),(9,13),(10,12),(10,13),(11,12),(11,13),(12,8),(13,8)],14) => 1
[2,4,3,1,5] => ([(0,1),(0,2),(0,3),(0,4),(1,5),(1,10),(2,8),(2,9),(2,10),(3,7),(3,9),(3,10),(4,5),(4,7),(4,8),(5,11),(7,11),(7,12),(8,11),(8,12),(9,12),(10,11),(10,12),(11,6),(12,6)],13) => 1
[2,4,3,5,1] => ([(0,1),(0,2),(0,3),(0,4),(1,5),(1,10),(2,8),(2,9),(2,10),(3,7),(3,9),(3,10),(4,5),(4,7),(4,8),(5,11),(7,11),(7,12),(8,11),(8,12),(9,12),(10,11),(10,12),(11,6),(12,6)],13) => 1
[2,4,5,1,3] => ([(0,2),(0,3),(0,4),(0,5),(1,11),(1,12),(2,7),(2,10),(3,6),(3,10),(4,6),(4,8),(4,10),(5,1),(5,7),(5,8),(5,10),(6,12),(7,11),(7,12),(8,11),(8,12),(10,11),(10,12),(11,9),(12,9)],13) => 1
[2,4,5,3,1] => ([(0,1),(0,2),(0,3),(0,4),(1,6),(1,11),(2,5),(2,11),(3,5),(3,7),(3,11),(4,6),(4,7),(4,11),(5,9),(6,10),(7,9),(7,10),(9,8),(10,8),(11,9),(11,10)],12) => 1
[2,5,1,3,4] => ([(0,2),(0,3),(0,4),(0,5),(1,11),(1,12),(2,9),(2,10),(3,6),(3,9),(4,7),(4,9),(4,10),(5,1),(5,6),(5,7),(5,10),(6,11),(6,12),(7,11),(7,12),(9,12),(10,11),(10,12),(11,8),(12,8)],13) => 1
[2,5,1,4,3] => ([(0,2),(0,3),(0,4),(0,5),(1,11),(1,12),(2,7),(2,10),(3,6),(3,10),(4,6),(4,8),(4,10),(5,1),(5,7),(5,8),(5,10),(6,12),(7,11),(7,12),(8,11),(8,12),(10,11),(10,12),(11,9),(12,9)],13) => 1
[2,5,3,1,4] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,9),(1,10),(1,11),(1,12),(2,7),(2,11),(2,12),(3,7),(3,9),(3,10),(4,6),(4,10),(4,12),(5,6),(5,9),(5,11),(6,14),(7,13),(9,13),(9,14),(10,13),(10,14),(11,13),(11,14),(12,13),(12,14),(13,8),(14,8)],15) => 1
[2,5,3,4,1] => ([(0,1),(0,2),(0,3),(0,4),(1,5),(1,10),(2,8),(2,9),(2,10),(3,7),(3,9),(3,10),(4,5),(4,7),(4,8),(5,11),(7,11),(7,12),(8,11),(8,12),(9,12),(10,11),(10,12),(11,6),(12,6)],13) => 1
[2,5,4,1,3] => ([(0,2),(0,3),(0,4),(0,5),(1,11),(1,12),(2,9),(2,10),(3,6),(3,9),(4,7),(4,9),(4,10),(5,1),(5,6),(5,7),(5,10),(6,11),(6,12),(7,11),(7,12),(9,12),(10,11),(10,12),(11,8),(12,8)],13) => 1
[2,5,4,3,1] => ([(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) => 1
[3,1,2,4,5] => ([(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) => 1
[3,1,2,5,4] => ([(0,2),(0,3),(0,4),(1,9),(1,10),(2,6),(2,7),(3,5),(3,6),(4,1),(4,5),(4,7),(5,10),(6,9),(6,10),(7,9),(7,10),(9,8),(10,8)],11) => 1
[3,1,4,2,5] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,10),(1,12),(2,8),(2,10),(2,12),(3,7),(3,10),(3,12),(4,6),(4,10),(4,12),(5,6),(5,7),(5,8),(5,12),(6,11),(6,13),(7,11),(7,13),(8,11),(8,13),(10,13),(11,9),(12,11),(12,13),(13,9)],14) => 1
[3,1,4,5,2] => ([(0,2),(0,3),(0,4),(0,5),(1,11),(1,12),(2,9),(2,10),(3,6),(3,9),(4,7),(4,9),(4,10),(5,1),(5,6),(5,7),(5,10),(6,11),(6,12),(7,11),(7,12),(9,12),(10,11),(10,12),(11,8),(12,8)],13) => 1
[3,1,5,2,4] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,10),(1,11),(2,6),(2,9),(2,11),(3,6),(3,9),(3,10),(4,7),(4,9),(4,10),(4,11),(5,7),(5,9),(5,10),(5,11),(6,13),(7,12),(7,13),(9,12),(9,13),(10,12),(10,13),(11,12),(11,13),(12,8),(13,8)],14) => 1
[3,1,5,4,2] => ([(0,2),(0,3),(0,4),(0,5),(1,11),(1,12),(2,7),(2,10),(3,6),(3,10),(4,6),(4,8),(4,10),(5,1),(5,7),(5,8),(5,10),(6,12),(7,11),(7,12),(8,11),(8,12),(10,11),(10,12),(11,9),(12,9)],13) => 1
[3,2,1,4,5] => ([(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) => 1
[3,2,1,5,4] => ([(0,3),(0,4),(1,8),(2,7),(2,8),(3,1),(3,5),(4,2),(4,5),(5,7),(5,8),(7,6),(8,6)],9) => 1
[3,2,4,1,5] => ([(0,1),(0,2),(0,3),(0,4),(1,6),(1,11),(2,5),(2,11),(3,5),(3,7),(3,11),(4,6),(4,7),(4,11),(5,9),(6,10),(7,9),(7,10),(9,8),(10,8),(11,9),(11,10)],12) => 1
[3,2,4,5,1] => ([(0,2),(0,3),(0,4),(1,9),(2,5),(2,7),(3,5),(3,6),(4,1),(4,6),(4,7),(5,10),(6,9),(6,10),(7,9),(7,10),(9,8),(10,8)],11) => 1
[3,2,5,1,4] => ([(0,2),(0,3),(0,4),(0,5),(1,11),(1,12),(2,7),(2,10),(3,6),(3,10),(4,6),(4,8),(4,10),(5,1),(5,7),(5,8),(5,10),(6,12),(7,11),(7,12),(8,11),(8,12),(10,11),(10,12),(11,9),(12,9)],13) => 1
[3,2,5,4,1] => ([(0,1),(0,2),(0,3),(1,5),(1,6),(2,6),(2,7),(2,8),(3,5),(3,7),(3,8),(5,9),(5,10),(6,9),(6,10),(7,10),(8,9),(8,10),(9,4),(10,4)],11) => 1
[3,4,1,2,5] => ([(0,1),(0,2),(0,3),(1,5),(1,6),(2,6),(2,7),(2,8),(3,5),(3,7),(3,8),(5,9),(5,10),(6,9),(6,10),(7,10),(8,9),(8,10),(9,4),(10,4)],11) => 1
[3,4,1,5,2] => ([(0,2),(0,3),(0,4),(0,5),(1,11),(1,12),(2,7),(2,10),(3,6),(3,10),(4,6),(4,8),(4,10),(5,1),(5,7),(5,8),(5,10),(6,12),(7,11),(7,12),(8,11),(8,12),(10,11),(10,12),(11,9),(12,9)],13) => 1
[3,4,2,1,5] => ([(0,2),(0,3),(0,4),(1,9),(2,5),(2,7),(3,5),(3,6),(4,1),(4,6),(4,7),(5,10),(6,9),(6,10),(7,9),(7,10),(9,8),(10,8)],11) => 1
[3,4,2,5,1] => ([(0,1),(0,2),(0,3),(0,4),(1,6),(1,11),(2,5),(2,11),(3,5),(3,7),(3,11),(4,6),(4,7),(4,11),(5,9),(6,10),(7,9),(7,10),(9,8),(10,8),(11,9),(11,10)],12) => 1
[3,4,5,1,2] => ([(0,3),(0,4),(1,8),(2,7),(2,8),(3,1),(3,5),(4,2),(4,5),(5,7),(5,8),(7,6),(8,6)],9) => 1
[3,4,5,2,1] => ([(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) => 1
[3,5,1,2,4] => ([(0,2),(0,3),(0,4),(0,5),(1,11),(1,12),(2,7),(2,10),(3,6),(3,10),(4,6),(4,8),(4,10),(5,1),(5,7),(5,8),(5,10),(6,12),(7,11),(7,12),(8,11),(8,12),(10,11),(10,12),(11,9),(12,9)],13) => 1
[3,5,1,4,2] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,10),(1,11),(2,6),(2,9),(2,11),(3,6),(3,9),(3,10),(4,7),(4,9),(4,10),(4,11),(5,7),(5,9),(5,10),(5,11),(6,13),(7,12),(7,13),(9,12),(9,13),(10,12),(10,13),(11,12),(11,13),(12,8),(13,8)],14) => 1
>>> Load all 878 entries. <<<[3,5,2,1,4] => ([(0,2),(0,3),(0,4),(0,5),(1,11),(1,12),(2,9),(2,10),(3,6),(3,9),(4,7),(4,9),(4,10),(5,1),(5,6),(5,7),(5,10),(6,11),(6,12),(7,11),(7,12),(9,12),(10,11),(10,12),(11,8),(12,8)],13) => 1
[3,5,2,4,1] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,10),(1,12),(2,8),(2,10),(2,12),(3,7),(3,10),(3,12),(4,6),(4,10),(4,12),(5,6),(5,7),(5,8),(5,12),(6,11),(6,13),(7,11),(7,13),(8,11),(8,13),(10,13),(11,9),(12,11),(12,13),(13,9)],14) => 1
[3,5,4,1,2] => ([(0,2),(0,3),(0,4),(1,9),(1,10),(2,6),(2,7),(3,5),(3,6),(4,1),(4,5),(4,7),(5,10),(6,9),(6,10),(7,9),(7,10),(9,8),(10,8)],11) => 1
[3,5,4,2,1] => ([(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) => 1
[4,1,2,3,5] => ([(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) => 1
[4,1,2,5,3] => ([(0,2),(0,3),(0,4),(0,5),(1,11),(1,12),(2,9),(2,10),(3,6),(3,9),(4,7),(4,9),(4,10),(5,1),(5,6),(5,7),(5,10),(6,11),(6,12),(7,11),(7,12),(9,12),(10,11),(10,12),(11,8),(12,8)],13) => 1
[4,1,3,2,5] => ([(0,1),(0,2),(0,3),(0,4),(1,5),(1,10),(2,8),(2,9),(2,10),(3,7),(3,9),(3,10),(4,5),(4,7),(4,8),(5,11),(7,11),(7,12),(8,11),(8,12),(9,12),(10,11),(10,12),(11,6),(12,6)],13) => 1
[4,1,3,5,2] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,9),(1,10),(1,11),(1,12),(2,7),(2,11),(2,12),(3,7),(3,9),(3,10),(4,6),(4,10),(4,12),(5,6),(5,9),(5,11),(6,14),(7,13),(9,13),(9,14),(10,13),(10,14),(11,13),(11,14),(12,13),(12,14),(13,8),(14,8)],15) => 1
[4,1,5,2,3] => ([(0,2),(0,3),(0,4),(0,5),(1,11),(1,12),(2,7),(2,10),(3,6),(3,10),(4,6),(4,8),(4,10),(5,1),(5,7),(5,8),(5,10),(6,12),(7,11),(7,12),(8,11),(8,12),(10,11),(10,12),(11,9),(12,9)],13) => 1
[4,1,5,3,2] => ([(0,2),(0,3),(0,4),(0,5),(1,11),(1,12),(2,9),(2,10),(3,6),(3,9),(4,7),(4,9),(4,10),(5,1),(5,6),(5,7),(5,10),(6,11),(6,12),(7,11),(7,12),(9,12),(10,11),(10,12),(11,8),(12,8)],13) => 1
[4,2,1,3,5] => ([(0,1),(0,2),(0,3),(0,4),(1,6),(1,11),(2,5),(2,11),(3,5),(3,7),(3,11),(4,6),(4,7),(4,11),(5,9),(6,10),(7,9),(7,10),(9,8),(10,8),(11,9),(11,10)],12) => 1
[4,2,1,5,3] => ([(0,2),(0,3),(0,4),(0,5),(1,11),(1,12),(2,7),(2,10),(3,6),(3,10),(4,6),(4,8),(4,10),(5,1),(5,7),(5,8),(5,10),(6,12),(7,11),(7,12),(8,11),(8,12),(10,11),(10,12),(11,9),(12,9)],13) => 1
[4,2,3,1,5] => ([(0,1),(0,2),(0,3),(0,4),(1,5),(1,10),(2,8),(2,9),(2,10),(3,7),(3,9),(3,10),(4,5),(4,7),(4,8),(5,11),(7,11),(7,12),(8,11),(8,12),(9,12),(10,11),(10,12),(11,6),(12,6)],13) => 1
[4,2,3,5,1] => ([(0,1),(0,2),(0,3),(0,4),(1,5),(1,10),(2,8),(2,9),(2,10),(3,7),(3,9),(3,10),(4,5),(4,7),(4,8),(5,11),(7,11),(7,12),(8,11),(8,12),(9,12),(10,11),(10,12),(11,6),(12,6)],13) => 1
[4,2,5,1,3] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,10),(1,11),(2,6),(2,9),(2,11),(3,6),(3,9),(3,10),(4,7),(4,9),(4,10),(4,11),(5,7),(5,9),(5,10),(5,11),(6,13),(7,12),(7,13),(9,12),(9,13),(10,12),(10,13),(11,12),(11,13),(12,8),(13,8)],14) => 1
[4,2,5,3,1] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,10),(1,12),(2,8),(2,10),(2,12),(3,7),(3,10),(3,12),(4,6),(4,10),(4,12),(5,6),(5,7),(5,8),(5,12),(6,11),(6,13),(7,11),(7,13),(8,11),(8,13),(10,13),(11,9),(12,11),(12,13),(13,9)],14) => 1
[4,3,1,2,5] => ([(0,2),(0,3),(0,4),(1,9),(2,5),(2,7),(3,5),(3,6),(4,1),(4,6),(4,7),(5,10),(6,9),(6,10),(7,9),(7,10),(9,8),(10,8)],11) => 1
[4,3,1,5,2] => ([(0,2),(0,3),(0,4),(0,5),(1,11),(1,12),(2,9),(2,10),(3,6),(3,9),(4,7),(4,9),(4,10),(5,1),(5,6),(5,7),(5,10),(6,11),(6,12),(7,11),(7,12),(9,12),(10,11),(10,12),(11,8),(12,8)],13) => 1
[4,3,2,1,5] => ([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8) => 1
[4,3,2,5,1] => ([(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) => 1
[4,3,5,1,2] => ([(0,2),(0,3),(0,4),(1,9),(1,10),(2,6),(2,7),(3,5),(3,6),(4,1),(4,5),(4,7),(5,10),(6,9),(6,10),(7,9),(7,10),(9,8),(10,8)],11) => 1
[4,3,5,2,1] => ([(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) => 1
[4,5,1,2,3] => ([(0,3),(0,4),(1,8),(2,7),(2,8),(3,1),(3,5),(4,2),(4,5),(5,7),(5,8),(7,6),(8,6)],9) => 1
[4,5,1,3,2] => ([(0,2),(0,3),(0,4),(1,9),(1,10),(2,6),(2,7),(3,5),(3,6),(4,1),(4,5),(4,7),(5,10),(6,9),(6,10),(7,9),(7,10),(9,8),(10,8)],11) => 1
[4,5,2,1,3] => ([(0,2),(0,3),(0,4),(1,9),(1,10),(2,6),(2,7),(3,5),(3,6),(4,1),(4,5),(4,7),(5,10),(6,9),(6,10),(7,9),(7,10),(9,8),(10,8)],11) => 1
[4,5,2,3,1] => ([(0,1),(0,2),(0,3),(1,7),(1,8),(2,5),(2,8),(3,5),(3,7),(3,8),(5,9),(6,4),(7,6),(7,9),(8,6),(8,9),(9,4)],10) => 1
[4,5,3,1,2] => ([(0,1),(0,2),(0,3),(1,7),(1,8),(2,5),(2,8),(3,5),(3,7),(5,9),(6,4),(7,6),(7,9),(8,6),(8,9),(9,4)],10) => 1
[4,5,3,2,1] => ([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8) => 1
[5,1,2,3,4] => ([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8) => 1
[5,1,2,4,3] => ([(0,2),(0,3),(0,4),(1,9),(2,5),(2,7),(3,5),(3,6),(4,1),(4,6),(4,7),(5,10),(6,9),(6,10),(7,9),(7,10),(9,8),(10,8)],11) => 1
[5,1,3,2,4] => ([(0,1),(0,2),(0,3),(0,4),(1,5),(1,10),(2,8),(2,9),(2,10),(3,7),(3,9),(3,10),(4,5),(4,7),(4,8),(5,11),(7,11),(7,12),(8,11),(8,12),(9,12),(10,11),(10,12),(11,6),(12,6)],13) => 1
[5,1,3,4,2] => ([(0,1),(0,2),(0,3),(0,4),(1,5),(1,10),(2,8),(2,9),(2,10),(3,7),(3,9),(3,10),(4,5),(4,7),(4,8),(5,11),(7,11),(7,12),(8,11),(8,12),(9,12),(10,11),(10,12),(11,6),(12,6)],13) => 1
[5,1,4,2,3] => ([(0,1),(0,2),(0,3),(0,4),(1,6),(1,11),(2,5),(2,11),(3,5),(3,7),(3,11),(4,6),(4,7),(4,11),(5,9),(6,10),(7,9),(7,10),(9,8),(10,8),(11,9),(11,10)],12) => 1
[5,1,4,3,2] => ([(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) => 1
[5,2,1,3,4] => ([(0,2),(0,3),(0,4),(1,9),(2,5),(2,7),(3,5),(3,6),(4,1),(4,6),(4,7),(5,10),(6,9),(6,10),(7,9),(7,10),(9,8),(10,8)],11) => 1
[5,2,1,4,3] => ([(0,1),(0,2),(0,3),(1,5),(1,6),(2,6),(2,7),(2,8),(3,5),(3,7),(3,8),(5,9),(5,10),(6,9),(6,10),(7,10),(8,9),(8,10),(9,4),(10,4)],11) => 1
[5,2,3,1,4] => ([(0,1),(0,2),(0,3),(0,4),(1,5),(1,10),(2,8),(2,9),(2,10),(3,7),(3,9),(3,10),(4,5),(4,7),(4,8),(5,11),(7,11),(7,12),(8,11),(8,12),(9,12),(10,11),(10,12),(11,6),(12,6)],13) => 1
[5,2,3,4,1] => ([(0,2),(0,3),(0,4),(1,9),(2,5),(2,7),(3,5),(3,6),(4,1),(4,6),(4,7),(5,10),(6,9),(6,10),(7,9),(7,10),(9,8),(10,8)],11) => 1
[5,2,4,1,3] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,10),(1,12),(2,8),(2,10),(2,12),(3,7),(3,10),(3,12),(4,6),(4,10),(4,12),(5,6),(5,7),(5,8),(5,12),(6,11),(6,13),(7,11),(7,13),(8,11),(8,13),(10,13),(11,9),(12,11),(12,13),(13,9)],14) => 1
[5,2,4,3,1] => ([(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) => 1
[5,3,1,2,4] => ([(0,1),(0,2),(0,3),(0,4),(1,6),(1,11),(2,5),(2,11),(3,5),(3,7),(3,11),(4,6),(4,7),(4,11),(5,9),(6,10),(7,9),(7,10),(9,8),(10,8),(11,9),(11,10)],12) => 1
[5,3,1,4,2] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,10),(1,12),(2,8),(2,10),(2,12),(3,7),(3,10),(3,12),(4,6),(4,10),(4,12),(5,6),(5,7),(5,8),(5,12),(6,11),(6,13),(7,11),(7,13),(8,11),(8,13),(10,13),(11,9),(12,11),(12,13),(13,9)],14) => 1
[5,3,2,1,4] => ([(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) => 1
[5,3,2,4,1] => ([(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) => 1
[5,3,4,1,2] => ([(0,1),(0,2),(0,3),(1,7),(1,8),(2,5),(2,8),(3,5),(3,7),(3,8),(5,9),(6,4),(7,6),(7,9),(8,6),(8,9),(9,4)],10) => 1
[5,3,4,2,1] => ([(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) => 1
[5,4,1,2,3] => ([(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) => 1
[5,4,1,3,2] => ([(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) => 1
[5,4,2,1,3] => ([(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) => 1
[5,4,2,3,1] => ([(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) => 1
[5,4,3,1,2] => ([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8) => 1
[5,4,3,2,1] => ([(0,4),(2,3),(3,1),(4,2)],5) => 1
[1,2,3,4,5,6] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 1
[1,2,3,4,6,5] => ([(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
[1,2,3,5,4,6] => ([(0,2),(0,3),(0,5),(1,8),(1,12),(2,10),(3,6),(3,10),(4,1),(4,9),(4,11),(5,4),(5,6),(5,10),(6,9),(6,11),(8,7),(9,8),(9,12),(10,11),(11,12),(12,7)],13) => 1
[1,2,3,5,6,4] => ([(0,2),(0,3),(0,5),(1,8),(1,12),(2,10),(3,6),(3,10),(4,1),(4,9),(4,11),(5,4),(5,6),(5,10),(6,9),(6,11),(8,7),(9,8),(9,12),(10,11),(11,12),(12,7)],13) => 1
[1,2,3,6,4,5] => ([(0,2),(0,3),(0,5),(1,8),(1,12),(2,10),(3,6),(3,10),(4,1),(4,9),(4,11),(5,4),(5,6),(5,10),(6,9),(6,11),(8,7),(9,8),(9,12),(10,11),(11,12),(12,7)],13) => 1
[1,2,3,6,5,4] => ([(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) => 1
[1,2,4,3,5,6] => ([(0,3),(0,4),(0,5),(1,9),(1,13),(2,8),(2,13),(3,11),(4,2),(4,6),(4,11),(5,1),(5,6),(5,11),(6,8),(6,9),(6,13),(8,10),(8,12),(9,10),(9,12),(10,7),(11,13),(12,7),(13,12)],14) => 1
[1,2,4,3,6,5] => ([(0,2),(0,3),(0,4),(1,7),(1,13),(2,6),(2,12),(3,1),(3,9),(3,12),(4,6),(4,9),(4,12),(6,10),(7,8),(7,11),(8,5),(9,7),(9,10),(9,13),(10,11),(11,5),(12,10),(12,13),(13,8),(13,11)],14) => 1
[1,2,4,5,3,6] => ([(0,1),(0,3),(0,4),(0,5),(1,14),(2,7),(2,8),(2,16),(3,9),(3,11),(3,14),(4,9),(4,10),(4,14),(5,2),(5,10),(5,11),(5,14),(7,13),(7,15),(8,13),(8,15),(9,12),(9,16),(10,7),(10,12),(10,16),(11,8),(11,12),(11,16),(12,13),(12,15),(13,6),(14,16),(15,6),(16,15)],17) => 1
[1,2,4,5,6,3] => ([(0,3),(0,4),(0,5),(1,9),(1,13),(2,8),(2,13),(3,11),(4,2),(4,6),(4,11),(5,1),(5,6),(5,11),(6,8),(6,9),(6,13),(8,10),(8,12),(9,10),(9,12),(10,7),(11,13),(12,7),(13,12)],14) => 1
[1,2,4,6,3,5] => ([(0,1),(0,2),(0,3),(0,4),(0,6),(1,14),(1,18),(2,13),(2,14),(2,18),(3,12),(3,14),(3,18),(4,11),(4,14),(4,18),(5,8),(5,9),(5,10),(5,16),(6,5),(6,11),(6,12),(6,13),(6,18),(8,15),(8,19),(9,15),(9,19),(10,15),(10,19),(11,8),(11,16),(11,17),(12,9),(12,16),(12,17),(13,10),(13,16),(13,17),(14,17),(15,7),(16,15),(16,19),(17,19),(18,16),(18,17),(19,7)],20) => 1
[1,2,4,6,5,3] => ([(0,1),(0,2),(0,4),(0,5),(1,9),(1,16),(2,10),(2,16),(3,6),(3,7),(3,15),(4,9),(4,11),(4,16),(5,3),(5,10),(5,11),(5,16),(6,13),(7,13),(7,14),(9,12),(10,6),(10,15),(11,7),(11,12),(11,15),(12,14),(13,8),(14,8),(15,13),(15,14),(16,12),(16,15)],17) => 1
[1,2,5,3,4,6] => ([(0,1),(0,3),(0,4),(0,5),(1,14),(2,7),(2,8),(2,16),(3,9),(3,11),(3,14),(4,9),(4,10),(4,14),(5,2),(5,10),(5,11),(5,14),(7,13),(7,15),(8,13),(8,15),(9,12),(9,16),(10,7),(10,12),(10,16),(11,8),(11,12),(11,16),(12,13),(12,15),(13,6),(14,16),(15,6),(16,15)],17) => 1
[1,2,5,3,6,4] => ([(0,1),(0,2),(0,3),(0,4),(0,6),(1,14),(1,18),(2,13),(2,14),(2,18),(3,12),(3,14),(3,18),(4,11),(4,14),(4,18),(5,8),(5,9),(5,10),(5,16),(6,5),(6,11),(6,12),(6,13),(6,18),(8,15),(8,19),(9,15),(9,19),(10,15),(10,19),(11,8),(11,16),(11,17),(12,9),(12,16),(12,17),(13,10),(13,16),(13,17),(14,17),(15,7),(16,15),(16,19),(17,19),(18,16),(18,17),(19,7)],20) => 1
[1,2,5,4,3,6] => ([(0,3),(0,4),(0,5),(1,13),(2,6),(2,8),(3,9),(3,10),(4,2),(4,10),(4,11),(5,1),(5,9),(5,11),(6,14),(6,15),(8,14),(9,12),(9,13),(10,8),(10,12),(11,6),(11,12),(11,13),(12,14),(12,15),(13,15),(14,7),(15,7)],16) => 1
[1,2,5,4,6,3] => ([(0,1),(0,2),(0,3),(0,5),(1,11),(1,14),(2,10),(2,13),(2,14),(3,10),(3,12),(3,14),(4,7),(4,8),(4,9),(5,4),(5,11),(5,12),(5,13),(7,17),(8,17),(8,18),(9,17),(9,18),(10,15),(11,7),(11,16),(12,8),(12,15),(12,16),(13,9),(13,15),(13,16),(14,15),(14,16),(15,18),(16,17),(16,18),(17,6),(18,6)],19) => 1
[1,2,5,6,3,4] => ([(0,2),(0,3),(0,4),(1,8),(1,9),(2,1),(2,10),(2,11),(3,6),(3,7),(3,11),(4,6),(4,7),(4,10),(6,14),(7,12),(7,14),(8,13),(8,15),(9,13),(9,15),(10,8),(10,12),(10,14),(11,9),(11,12),(11,14),(12,13),(12,15),(13,5),(14,15),(15,5)],16) => 1
[1,2,5,6,4,3] => ([(0,3),(0,4),(0,5),(1,13),(2,6),(2,8),(3,9),(3,10),(4,2),(4,10),(4,11),(5,1),(5,9),(5,11),(6,14),(6,15),(8,14),(9,12),(9,13),(10,8),(10,12),(11,6),(11,12),(11,13),(12,14),(12,15),(13,15),(14,7),(15,7)],16) => 1
[1,2,6,3,4,5] => ([(0,3),(0,4),(0,5),(1,9),(1,13),(2,8),(2,13),(3,11),(4,2),(4,6),(4,11),(5,1),(5,6),(5,11),(6,8),(6,9),(6,13),(8,10),(8,12),(9,10),(9,12),(10,7),(11,13),(12,7),(13,12)],14) => 1
[1,2,6,3,5,4] => ([(0,1),(0,2),(0,4),(0,5),(1,9),(1,16),(2,10),(2,16),(3,6),(3,7),(3,15),(4,9),(4,11),(4,16),(5,3),(5,10),(5,11),(5,16),(6,13),(7,13),(7,14),(9,12),(10,6),(10,15),(11,7),(11,12),(11,15),(12,14),(13,8),(14,8),(15,13),(15,14),(16,12),(16,15)],17) => 1
[1,2,6,4,3,5] => ([(0,1),(0,2),(0,3),(0,5),(1,11),(1,14),(2,10),(2,13),(2,14),(3,10),(3,12),(3,14),(4,7),(4,8),(4,9),(5,4),(5,11),(5,12),(5,13),(7,17),(8,17),(8,18),(9,17),(9,18),(10,15),(11,7),(11,16),(12,8),(12,15),(12,16),(13,9),(13,15),(13,16),(14,15),(14,16),(15,18),(16,17),(16,18),(17,6),(18,6)],19) => 1
[1,2,6,4,5,3] => ([(0,1),(0,2),(0,3),(0,5),(1,11),(1,14),(2,10),(2,13),(2,14),(3,10),(3,12),(3,14),(4,7),(4,8),(4,9),(5,4),(5,11),(5,12),(5,13),(7,17),(8,17),(8,18),(9,17),(9,18),(10,15),(11,7),(11,16),(12,8),(12,15),(12,16),(13,9),(13,15),(13,16),(14,15),(14,16),(15,18),(16,17),(16,18),(17,6),(18,6)],19) => 1
[1,2,6,5,3,4] => ([(0,3),(0,4),(0,5),(1,13),(2,6),(2,8),(3,9),(3,10),(4,2),(4,10),(4,11),(5,1),(5,9),(5,11),(6,14),(6,15),(8,14),(9,12),(9,13),(10,8),(10,12),(11,6),(11,12),(11,13),(12,14),(12,15),(13,15),(14,7),(15,7)],16) => 1
[1,2,6,5,4,3] => ([(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) => 1
[1,3,2,4,5,6] => ([(0,2),(0,3),(0,5),(1,8),(1,12),(2,10),(3,6),(3,10),(4,1),(4,9),(4,11),(5,4),(5,6),(5,10),(6,9),(6,11),(8,7),(9,8),(9,12),(10,11),(11,12),(12,7)],13) => 1
[1,3,2,4,6,5] => ([(0,1),(0,2),(0,3),(0,4),(1,6),(1,13),(2,8),(2,9),(2,13),(3,7),(3,9),(3,13),(4,6),(4,7),(4,8),(6,15),(7,12),(7,15),(8,11),(8,12),(8,15),(9,11),(9,12),(10,5),(11,10),(11,14),(12,10),(12,14),(13,11),(13,15),(14,5),(15,14)],16) => 1
[1,3,2,5,4,6] => ([(0,1),(0,2),(0,3),(0,4),(1,8),(1,9),(1,15),(2,7),(2,9),(2,15),(3,6),(3,7),(3,15),(4,6),(4,8),(4,15),(6,14),(7,11),(7,14),(8,12),(8,14),(9,11),(9,12),(10,5),(11,10),(11,13),(12,10),(12,13),(13,5),(14,13),(15,11),(15,12),(15,14)],16) => 1
[1,3,2,5,6,4] => ([(0,2),(0,3),(0,4),(0,5),(1,14),(1,16),(2,7),(2,8),(2,9),(3,7),(3,10),(3,12),(4,8),(4,11),(4,12),(5,9),(5,10),(5,11),(7,17),(8,15),(8,17),(9,1),(9,15),(9,17),(10,13),(10,17),(11,13),(11,15),(12,13),(12,15),(12,17),(13,14),(13,16),(14,6),(15,14),(15,16),(16,6),(17,16)],18) => 1
[1,3,2,6,4,5] => ([(0,2),(0,3),(0,4),(0,5),(1,14),(1,16),(2,7),(2,8),(2,9),(3,7),(3,10),(3,12),(4,8),(4,11),(4,12),(5,9),(5,10),(5,11),(7,17),(8,15),(8,17),(9,1),(9,15),(9,17),(10,13),(10,17),(11,13),(11,15),(12,13),(12,15),(12,17),(13,14),(13,16),(14,6),(15,14),(15,16),(16,6),(17,16)],18) => 1
[1,3,2,6,5,4] => ([(0,3),(0,4),(0,5),(1,13),(2,6),(2,7),(2,14),(3,9),(3,10),(4,9),(4,11),(5,2),(5,10),(5,11),(6,12),(7,12),(7,13),(9,1),(9,14),(10,6),(10,14),(11,7),(11,14),(12,8),(13,8),(14,12),(14,13)],15) => 1
[1,3,4,2,5,6] => ([(0,1),(0,3),(0,4),(0,5),(1,14),(2,7),(2,8),(2,16),(3,9),(3,11),(3,14),(4,9),(4,10),(4,14),(5,2),(5,10),(5,11),(5,14),(7,13),(7,15),(8,13),(8,15),(9,12),(9,16),(10,7),(10,12),(10,16),(11,8),(11,12),(11,16),(12,13),(12,15),(13,6),(14,16),(15,6),(16,15)],17) => 1
[1,3,4,2,6,5] => ([(0,2),(0,3),(0,4),(0,5),(1,10),(1,15),(1,17),(2,7),(2,13),(3,8),(3,9),(3,13),(4,8),(4,11),(4,13),(5,1),(5,7),(5,9),(5,11),(7,17),(8,12),(8,15),(9,12),(9,15),(9,17),(10,14),(10,16),(11,10),(11,12),(11,17),(12,14),(12,16),(13,15),(13,17),(14,6),(15,14),(15,16),(16,6),(17,16)],18) => 1
[1,3,4,5,2,6] => ([(0,1),(0,3),(0,4),(0,5),(1,14),(2,7),(2,8),(2,16),(3,9),(3,11),(3,14),(4,9),(4,10),(4,14),(5,2),(5,10),(5,11),(5,14),(7,13),(7,15),(8,13),(8,15),(9,12),(9,16),(10,7),(10,12),(10,16),(11,8),(11,12),(11,16),(12,13),(12,15),(13,6),(14,16),(15,6),(16,15)],17) => 1
[1,3,4,5,6,2] => ([(0,2),(0,3),(0,5),(1,8),(1,12),(2,10),(3,6),(3,10),(4,1),(4,9),(4,11),(5,4),(5,6),(5,10),(6,9),(6,11),(8,7),(9,8),(9,12),(10,11),(11,12),(12,7)],13) => 1
[1,3,4,6,2,5] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(1,12),(1,20),(1,21),(2,13),(2,14),(3,8),(3,13),(3,15),(4,9),(4,10),(4,13),(4,15),(5,7),(5,8),(5,9),(5,14),(6,1),(6,7),(6,10),(6,14),(6,15),(7,12),(7,16),(7,18),(7,20),(8,18),(8,21),(9,16),(9,18),(9,21),(10,16),(10,20),(10,21),(12,17),(12,19),(13,21),(14,20),(14,21),(15,18),(15,20),(15,21),(16,17),(16,19),(17,11),(18,17),(18,19),(19,11),(20,17),(20,19),(21,19)],22) => 1
[1,3,4,6,5,2] => ([(0,2),(0,3),(0,4),(0,5),(1,10),(1,17),(2,7),(2,13),(3,9),(3,11),(3,13),(4,1),(4,8),(4,11),(4,13),(5,7),(5,8),(5,9),(7,16),(8,12),(8,16),(8,17),(9,12),(9,16),(10,14),(11,10),(11,12),(11,17),(12,14),(12,15),(13,16),(13,17),(14,6),(15,6),(16,15),(17,14),(17,15)],18) => 1
[1,3,5,2,4,6] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,14),(1,17),(1,22),(2,13),(2,17),(2,22),(3,9),(3,11),(3,17),(3,22),(4,8),(4,10),(4,17),(4,22),(5,8),(5,9),(5,12),(5,13),(5,22),(6,10),(6,11),(6,12),(6,14),(6,22),(8,15),(8,19),(8,23),(9,16),(9,19),(9,23),(10,15),(10,20),(10,23),(11,16),(11,20),(11,23),(12,15),(12,16),(12,19),(12,20),(13,19),(13,23),(14,20),(14,23),(15,18),(15,21),(16,18),(16,21),(17,23),(18,7),(19,18),(19,21),(20,18),(20,21),(21,7),(22,19),(22,20),(22,23),(23,21)],24) => 1
[1,3,5,2,6,4] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,9),(1,16),(1,20),(2,8),(2,16),(2,17),(3,9),(3,10),(3,17),(3,20),(4,12),(4,13),(4,16),(4,17),(4,20),(5,11),(5,13),(5,16),(5,17),(5,20),(6,8),(6,10),(6,11),(6,12),(6,20),(8,19),(8,23),(9,22),(10,15),(10,19),(10,22),(11,14),(11,15),(11,19),(11,23),(12,14),(12,15),(12,19),(12,23),(13,14),(13,22),(13,23),(14,18),(14,21),(15,18),(15,21),(16,22),(16,23),(17,19),(17,22),(17,23),(18,7),(19,18),(19,21),(20,15),(20,22),(20,23),(21,7),(22,21),(23,18),(23,21)],24) => 1
[1,3,5,4,2,6] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,17),(2,10),(2,11),(2,17),(3,8),(3,9),(3,13),(3,17),(4,7),(4,9),(4,10),(4,17),(5,7),(5,8),(5,11),(5,12),(7,15),(7,20),(7,21),(8,14),(8,15),(8,20),(9,15),(9,16),(9,21),(10,21),(11,20),(11,21),(12,14),(12,20),(13,14),(13,16),(14,19),(15,18),(15,19),(16,18),(16,19),(17,16),(17,20),(17,21),(18,6),(19,6),(20,18),(20,19),(21,18)],22) => 1
[1,3,5,4,6,2] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,9),(1,12),(1,15),(2,10),(2,12),(2,16),(3,11),(3,13),(3,15),(3,16),(4,8),(4,10),(4,11),(4,15),(5,8),(5,9),(5,13),(5,16),(6,18),(6,19),(8,14),(8,17),(8,20),(9,17),(9,21),(10,20),(10,21),(11,14),(11,20),(12,21),(13,6),(13,14),(13,17),(14,19),(15,17),(15,20),(15,21),(16,6),(16,20),(16,21),(17,18),(17,19),(18,7),(19,7),(20,18),(20,19),(21,18)],22) => 1
[1,3,5,6,2,4] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(1,8),(1,18),(1,21),(2,11),(2,12),(2,19),(3,9),(3,13),(3,19),(4,10),(4,13),(4,19),(5,10),(5,12),(5,14),(5,19),(6,1),(6,9),(6,11),(6,14),(6,19),(8,17),(8,20),(9,18),(9,21),(10,16),(10,21),(11,15),(11,18),(11,21),(12,15),(12,16),(13,21),(14,8),(14,15),(14,16),(14,18),(15,17),(15,20),(16,17),(16,20),(17,7),(18,17),(18,20),(19,16),(19,18),(19,21),(20,7),(21,20)],22) => 1
[1,3,5,6,4,2] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,10),(1,11),(1,19),(2,9),(2,12),(2,19),(3,8),(3,12),(3,19),(4,6),(4,8),(4,10),(4,19),(5,6),(5,9),(5,11),(5,19),(6,13),(6,17),(6,18),(8,16),(8,17),(9,16),(9,18),(10,13),(10,17),(11,13),(11,18),(12,16),(13,15),(14,7),(15,7),(16,14),(17,14),(17,15),(18,14),(18,15),(19,16),(19,17),(19,18)],20) => 1
[1,3,6,2,4,5] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(1,8),(1,19),(1,21),(2,12),(2,16),(2,17),(3,11),(3,16),(3,17),(4,9),(4,10),(4,16),(5,9),(5,12),(5,13),(5,17),(6,1),(6,10),(6,11),(6,13),(6,17),(8,18),(8,20),(9,14),(9,21),(10,14),(10,19),(10,21),(11,19),(11,21),(12,15),(12,21),(13,8),(13,14),(13,15),(13,19),(14,18),(14,20),(15,18),(15,20),(16,21),(17,15),(17,19),(17,21),(18,7),(19,18),(19,20),(20,7),(21,20)],22) => 1
[1,3,6,2,5,4] => ([(0,1),(0,3),(0,4),(0,5),(0,6),(1,17),(1,19),(2,8),(2,18),(2,22),(3,10),(3,11),(3,19),(4,12),(4,14),(4,17),(4,19),(5,10),(5,13),(5,14),(5,17),(6,2),(6,11),(6,12),(6,13),(6,19),(7,20),(8,20),(8,21),(10,15),(10,22),(11,15),(11,18),(11,22),(12,16),(12,18),(12,22),(13,8),(13,15),(13,16),(13,22),(14,7),(14,16),(14,22),(15,20),(15,21),(16,20),(16,21),(17,7),(17,22),(18,21),(19,18),(19,22),(20,9),(21,9),(22,20),(22,21)],23) => 1
[1,3,6,4,5,2] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,9),(1,12),(1,15),(2,10),(2,12),(2,16),(3,11),(3,13),(3,15),(3,16),(4,8),(4,10),(4,11),(4,15),(5,8),(5,9),(5,13),(5,16),(6,18),(6,19),(8,14),(8,17),(8,20),(9,17),(9,21),(10,20),(10,21),(11,14),(11,20),(12,21),(13,6),(13,14),(13,17),(14,19),(15,17),(15,20),(15,21),(16,6),(16,20),(16,21),(17,18),(17,19),(18,7),(19,7),(20,18),(20,19),(21,18)],22) => 1
[1,3,6,5,2,4] => ([(0,1),(0,3),(0,4),(0,5),(0,6),(1,17),(1,19),(2,7),(2,18),(2,22),(3,9),(3,11),(3,19),(4,10),(4,12),(4,17),(4,19),(5,11),(5,12),(5,13),(5,19),(6,2),(6,9),(6,10),(6,13),(6,17),(7,20),(7,21),(9,16),(9,18),(9,22),(10,15),(10,18),(10,22),(11,14),(11,16),(12,14),(12,15),(12,22),(13,7),(13,15),(13,16),(13,22),(14,21),(15,20),(15,21),(16,20),(16,21),(17,18),(17,22),(18,20),(19,14),(19,22),(20,8),(21,8),(22,20),(22,21)],23) => 1
[1,3,6,5,4,2] => ([(0,1),(0,2),(0,4),(0,5),(1,9),(1,16),(2,10),(2,16),(3,6),(3,7),(3,15),(4,9),(4,11),(4,16),(5,3),(5,10),(5,11),(5,16),(6,13),(7,13),(7,14),(9,12),(10,6),(10,15),(11,7),(11,12),(11,15),(12,14),(13,8),(14,8),(15,13),(15,14),(16,12),(16,15)],17) => 1
[1,4,2,3,5,6] => ([(0,1),(0,3),(0,4),(0,5),(1,14),(2,7),(2,8),(2,16),(3,9),(3,11),(3,14),(4,9),(4,10),(4,14),(5,2),(5,10),(5,11),(5,14),(7,13),(7,15),(8,13),(8,15),(9,12),(9,16),(10,7),(10,12),(10,16),(11,8),(11,12),(11,16),(12,13),(12,15),(13,6),(14,16),(15,6),(16,15)],17) => 1
[1,4,2,3,6,5] => ([(0,2),(0,3),(0,4),(0,5),(1,10),(1,15),(1,17),(2,7),(2,13),(3,8),(3,9),(3,13),(4,8),(4,11),(4,13),(5,1),(5,7),(5,9),(5,11),(7,17),(8,12),(8,15),(9,12),(9,15),(9,17),(10,14),(10,16),(11,10),(11,12),(11,17),(12,14),(12,16),(13,15),(13,17),(14,6),(15,14),(15,16),(16,6),(17,16)],18) => 1
[1,4,2,5,3,6] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,14),(1,17),(1,22),(2,13),(2,17),(2,22),(3,9),(3,11),(3,17),(3,22),(4,8),(4,10),(4,17),(4,22),(5,8),(5,9),(5,12),(5,13),(5,22),(6,10),(6,11),(6,12),(6,14),(6,22),(8,15),(8,19),(8,23),(9,16),(9,19),(9,23),(10,15),(10,20),(10,23),(11,16),(11,20),(11,23),(12,15),(12,16),(12,19),(12,20),(13,19),(13,23),(14,20),(14,23),(15,18),(15,21),(16,18),(16,21),(17,23),(18,7),(19,18),(19,21),(20,18),(20,21),(21,7),(22,19),(22,20),(22,23),(23,21)],24) => 1
[1,4,2,5,6,3] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(1,8),(1,19),(1,21),(2,12),(2,16),(2,17),(3,11),(3,16),(3,17),(4,9),(4,10),(4,16),(5,9),(5,12),(5,13),(5,17),(6,1),(6,10),(6,11),(6,13),(6,17),(8,18),(8,20),(9,14),(9,21),(10,14),(10,19),(10,21),(11,19),(11,21),(12,15),(12,21),(13,8),(13,14),(13,15),(13,19),(14,18),(14,20),(15,18),(15,20),(16,21),(17,15),(17,19),(17,21),(18,7),(19,18),(19,20),(20,7),(21,20)],22) => 1
[1,4,2,6,3,5] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,9),(1,16),(1,20),(2,8),(2,16),(2,17),(3,9),(3,10),(3,17),(3,20),(4,12),(4,13),(4,16),(4,17),(4,20),(5,11),(5,13),(5,16),(5,17),(5,20),(6,8),(6,10),(6,11),(6,12),(6,20),(8,19),(8,23),(9,22),(10,15),(10,19),(10,22),(11,14),(11,15),(11,19),(11,23),(12,14),(12,15),(12,19),(12,23),(13,14),(13,22),(13,23),(14,18),(14,21),(15,18),(15,21),(16,22),(16,23),(17,19),(17,22),(17,23),(18,7),(19,18),(19,21),(20,15),(20,22),(20,23),(21,7),(22,21),(23,18),(23,21)],24) => 1
[1,4,2,6,5,3] => ([(0,1),(0,3),(0,4),(0,5),(0,6),(1,17),(1,19),(2,8),(2,18),(2,22),(3,10),(3,11),(3,19),(4,12),(4,14),(4,17),(4,19),(5,10),(5,13),(5,14),(5,17),(6,2),(6,11),(6,12),(6,13),(6,19),(7,20),(8,20),(8,21),(10,15),(10,22),(11,15),(11,18),(11,22),(12,16),(12,18),(12,22),(13,8),(13,15),(13,16),(13,22),(14,7),(14,16),(14,22),(15,20),(15,21),(16,20),(16,21),(17,7),(17,22),(18,21),(19,18),(19,22),(20,9),(21,9),(22,20),(22,21)],23) => 1
[1,4,3,2,5,6] => ([(0,3),(0,4),(0,5),(1,13),(2,6),(2,8),(3,9),(3,10),(4,2),(4,10),(4,11),(5,1),(5,9),(5,11),(6,14),(6,15),(8,14),(9,12),(9,13),(10,8),(10,12),(11,6),(11,12),(11,13),(12,14),(12,15),(13,15),(14,7),(15,7)],16) => 1
[1,4,3,2,6,5] => ([(0,3),(0,4),(0,5),(1,6),(1,15),(2,7),(2,15),(3,9),(3,10),(4,1),(4,9),(4,11),(5,2),(5,10),(5,11),(6,13),(7,14),(9,12),(9,15),(10,7),(10,12),(11,6),(11,12),(11,15),(12,13),(12,14),(13,8),(14,8),(15,13),(15,14)],16) => 1
[1,4,3,5,2,6] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,17),(2,10),(2,11),(2,17),(3,8),(3,9),(3,13),(3,17),(4,7),(4,9),(4,10),(4,17),(5,7),(5,8),(5,11),(5,12),(7,15),(7,20),(7,21),(8,14),(8,15),(8,20),(9,15),(9,16),(9,21),(10,21),(11,20),(11,21),(12,14),(12,20),(13,14),(13,16),(14,19),(15,18),(15,19),(16,18),(16,19),(17,16),(17,20),(17,21),(18,6),(19,6),(20,18),(20,19),(21,18)],22) => 1
[1,4,3,5,6,2] => ([(0,2),(0,3),(0,4),(0,5),(1,6),(1,16),(2,8),(2,10),(2,12),(3,8),(3,9),(3,11),(4,9),(4,10),(4,13),(5,1),(5,11),(5,12),(5,13),(6,17),(8,19),(9,14),(9,19),(10,15),(10,19),(11,14),(11,16),(11,19),(12,15),(12,16),(12,19),(13,6),(13,14),(13,15),(14,17),(14,18),(15,17),(15,18),(16,17),(16,18),(17,7),(18,7),(19,18)],20) => 1
[1,4,3,6,5,2] => ([(0,1),(0,2),(0,3),(0,4),(1,10),(1,11),(1,12),(2,8),(2,9),(2,12),(3,6),(3,7),(3,9),(3,11),(4,6),(4,7),(4,8),(4,10),(6,14),(6,19),(7,13),(7,15),(7,19),(8,13),(8,19),(9,13),(9,16),(9,19),(10,14),(10,15),(10,19),(11,14),(11,15),(11,16),(12,16),(12,19),(13,17),(14,18),(15,17),(15,18),(16,17),(16,18),(17,5),(18,5),(19,17),(19,18)],20) => 1
[1,4,5,2,3,6] => ([(0,1),(0,2),(0,3),(0,4),(1,10),(1,11),(1,12),(2,8),(2,9),(2,12),(3,5),(3,7),(3,9),(3,11),(4,5),(4,7),(4,8),(4,10),(5,19),(7,13),(7,14),(7,19),(8,13),(8,15),(8,19),(9,13),(9,16),(9,19),(10,14),(10,15),(10,19),(11,14),(11,16),(11,19),(12,15),(12,16),(13,17),(13,18),(14,17),(14,18),(15,17),(15,18),(16,17),(16,18),(17,6),(18,6),(19,18)],20) => 1
[1,4,5,2,6,3] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(1,20),(1,22),(2,13),(2,14),(2,17),(3,11),(3,12),(3,17),(4,8),(4,9),(4,11),(4,17),(5,1),(5,8),(5,10),(5,14),(5,17),(6,9),(6,10),(6,12),(6,13),(8,15),(8,20),(8,22),(9,15),(9,19),(9,22),(10,15),(10,16),(10,19),(10,20),(11,22),(12,19),(12,22),(13,16),(13,19),(14,16),(14,20),(14,22),(15,18),(15,21),(16,18),(16,21),(17,19),(17,20),(17,22),(18,7),(19,18),(19,21),(20,18),(20,21),(21,7),(22,21)],23) => 1
[1,4,5,3,2,6] => ([(0,2),(0,3),(0,4),(0,5),(1,17),(2,8),(2,9),(2,12),(3,7),(3,9),(3,11),(4,7),(4,8),(4,10),(5,1),(5,10),(5,11),(5,12),(7,13),(7,16),(8,13),(8,14),(9,13),(9,15),(10,14),(10,16),(10,17),(11,15),(11,16),(11,17),(12,14),(12,15),(12,17),(13,19),(14,18),(14,19),(15,18),(15,19),(16,18),(16,19),(17,18),(18,6),(19,6)],20) => 1
[1,4,5,3,6,2] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,17),(2,10),(2,11),(2,17),(3,8),(3,9),(3,13),(3,17),(4,7),(4,9),(4,10),(4,17),(5,7),(5,8),(5,11),(5,12),(7,15),(7,20),(7,21),(8,14),(8,15),(8,20),(9,15),(9,16),(9,21),(10,21),(11,20),(11,21),(12,14),(12,20),(13,14),(13,16),(14,19),(15,18),(15,19),(16,18),(16,19),(17,16),(17,20),(17,21),(18,6),(19,6),(20,18),(20,19),(21,18)],22) => 1
[1,4,5,6,2,3] => ([(0,3),(0,4),(0,5),(1,14),(2,6),(2,8),(2,14),(3,9),(3,10),(4,2),(4,10),(4,11),(5,1),(5,9),(5,11),(6,13),(6,15),(8,13),(8,15),(9,12),(9,14),(10,8),(10,12),(11,6),(11,12),(11,14),(12,13),(12,15),(13,7),(14,15),(15,7)],16) => 1
[1,4,5,6,3,2] => ([(0,3),(0,4),(0,5),(1,13),(2,6),(2,8),(3,9),(3,10),(4,2),(4,10),(4,11),(5,1),(5,9),(5,11),(6,14),(6,15),(8,14),(9,12),(9,13),(10,8),(10,12),(11,6),(11,12),(11,13),(12,14),(12,15),(13,15),(14,7),(15,7)],16) => 1
[1,4,6,2,3,5] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(1,20),(1,22),(2,13),(2,14),(2,17),(3,11),(3,12),(3,17),(4,8),(4,9),(4,11),(4,17),(5,1),(5,8),(5,10),(5,14),(5,17),(6,9),(6,10),(6,12),(6,13),(8,15),(8,20),(8,22),(9,15),(9,19),(9,22),(10,15),(10,16),(10,19),(10,20),(11,22),(12,19),(12,22),(13,16),(13,19),(14,16),(14,20),(14,22),(15,18),(15,21),(16,18),(16,21),(17,19),(17,20),(17,22),(18,7),(19,18),(19,21),(20,18),(20,21),(21,7),(22,21)],23) => 1
[1,4,6,5,2,3] => ([(0,2),(0,3),(0,4),(0,5),(1,14),(1,19),(2,9),(2,11),(2,12),(3,8),(3,9),(3,10),(4,7),(4,8),(4,11),(5,1),(5,7),(5,10),(5,12),(7,13),(7,19),(8,13),(8,16),(9,15),(9,16),(10,13),(10,15),(10,19),(11,14),(11,16),(11,19),(12,14),(12,15),(12,19),(13,17),(14,18),(15,17),(15,18),(16,17),(16,18),(17,6),(18,6),(19,17),(19,18)],20) => 1
[1,4,6,5,3,2] => ([(0,2),(0,3),(0,4),(0,5),(1,10),(1,17),(2,7),(2,13),(3,9),(3,11),(3,13),(4,1),(4,8),(4,11),(4,13),(5,7),(5,8),(5,9),(7,16),(8,12),(8,16),(8,17),(9,12),(9,16),(10,14),(11,10),(11,12),(11,17),(12,14),(12,15),(13,16),(13,17),(14,6),(15,6),(16,15),(17,14),(17,15)],18) => 1
[1,5,2,3,4,6] => ([(0,1),(0,3),(0,4),(0,5),(1,14),(2,7),(2,8),(2,16),(3,9),(3,11),(3,14),(4,9),(4,10),(4,14),(5,2),(5,10),(5,11),(5,14),(7,13),(7,15),(8,13),(8,15),(9,12),(9,16),(10,7),(10,12),(10,16),(11,8),(11,12),(11,16),(12,13),(12,15),(13,6),(14,16),(15,6),(16,15)],17) => 1
[1,5,2,3,6,4] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(1,12),(1,20),(1,21),(2,13),(2,14),(3,8),(3,13),(3,15),(4,9),(4,10),(4,13),(4,15),(5,7),(5,8),(5,9),(5,14),(6,1),(6,7),(6,10),(6,14),(6,15),(7,12),(7,16),(7,18),(7,20),(8,18),(8,21),(9,16),(9,18),(9,21),(10,16),(10,20),(10,21),(12,17),(12,19),(13,21),(14,20),(14,21),(15,18),(15,20),(15,21),(16,17),(16,19),(17,11),(18,17),(18,19),(19,11),(20,17),(20,19),(21,19)],22) => 1
[1,5,2,4,3,6] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,17),(2,10),(2,11),(2,17),(3,8),(3,9),(3,13),(3,17),(4,7),(4,9),(4,10),(4,17),(5,7),(5,8),(5,11),(5,12),(7,15),(7,20),(7,21),(8,14),(8,15),(8,20),(9,15),(9,16),(9,21),(10,21),(11,20),(11,21),(12,14),(12,20),(13,14),(13,16),(14,19),(15,18),(15,19),(16,18),(16,19),(17,16),(17,20),(17,21),(18,6),(19,6),(20,18),(20,19),(21,18)],22) => 1
[1,5,2,6,3,4] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(1,8),(1,18),(1,21),(2,11),(2,12),(2,19),(3,9),(3,13),(3,19),(4,10),(4,13),(4,19),(5,10),(5,12),(5,14),(5,19),(6,1),(6,9),(6,11),(6,14),(6,19),(8,17),(8,20),(9,18),(9,21),(10,16),(10,21),(11,15),(11,18),(11,21),(12,15),(12,16),(13,21),(14,8),(14,15),(14,16),(14,18),(15,17),(15,20),(16,17),(16,20),(17,7),(18,17),(18,20),(19,16),(19,18),(19,21),(20,7),(21,20)],22) => 1
[1,5,2,6,4,3] => ([(0,1),(0,3),(0,4),(0,5),(0,6),(1,17),(1,19),(2,7),(2,18),(2,22),(3,9),(3,11),(3,19),(4,10),(4,12),(4,17),(4,19),(5,11),(5,12),(5,13),(5,19),(6,2),(6,9),(6,10),(6,13),(6,17),(7,20),(7,21),(9,16),(9,18),(9,22),(10,15),(10,18),(10,22),(11,14),(11,16),(12,14),(12,15),(12,22),(13,7),(13,15),(13,16),(13,22),(14,21),(15,20),(15,21),(16,20),(16,21),(17,18),(17,22),(18,20),(19,14),(19,22),(20,8),(21,8),(22,20),(22,21)],23) => 1
[1,5,3,2,4,6] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,17),(2,10),(2,11),(2,17),(3,8),(3,9),(3,13),(3,17),(4,7),(4,9),(4,10),(4,17),(5,7),(5,8),(5,11),(5,12),(7,15),(7,20),(7,21),(8,14),(8,15),(8,20),(9,15),(9,16),(9,21),(10,21),(11,20),(11,21),(12,14),(12,20),(13,14),(13,16),(14,19),(15,18),(15,19),(16,18),(16,19),(17,16),(17,20),(17,21),(18,6),(19,6),(20,18),(20,19),(21,18)],22) => 1
[1,5,3,4,2,6] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,7),(1,8),(1,18),(2,12),(2,13),(2,14),(2,18),(3,10),(3,11),(3,14),(3,18),(4,8),(4,9),(4,11),(4,13),(5,7),(5,9),(5,10),(5,12),(7,15),(7,19),(8,15),(8,20),(9,15),(9,16),(9,17),(10,16),(10,19),(10,23),(11,16),(11,20),(11,23),(12,17),(12,19),(12,23),(13,17),(13,20),(13,23),(14,23),(15,22),(16,21),(16,22),(17,21),(17,22),(18,19),(18,20),(18,23),(19,21),(19,22),(20,21),(20,22),(21,6),(22,6),(23,21)],24) => 1
[1,5,3,4,6,2] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,6),(1,8),(1,18),(2,11),(2,13),(2,14),(2,18),(3,10),(3,12),(3,14),(3,18),(4,8),(4,9),(4,12),(4,13),(5,6),(5,9),(5,10),(5,11),(6,23),(8,19),(8,23),(9,16),(9,17),(9,23),(10,16),(10,20),(10,23),(11,17),(11,20),(11,23),(12,15),(12,16),(12,19),(13,15),(13,17),(13,19),(14,15),(14,20),(15,22),(16,21),(16,22),(17,21),(17,22),(18,19),(18,20),(18,23),(19,21),(19,22),(20,21),(20,22),(21,7),(22,7),(23,21)],24) => 1
[1,5,4,2,3,6] => ([(0,2),(0,3),(0,4),(0,5),(1,17),(2,8),(2,9),(2,12),(3,7),(3,9),(3,11),(4,7),(4,8),(4,10),(5,1),(5,10),(5,11),(5,12),(7,13),(7,16),(8,13),(8,14),(9,13),(9,15),(10,14),(10,16),(10,17),(11,15),(11,16),(11,17),(12,14),(12,15),(12,17),(13,19),(14,18),(14,19),(15,18),(15,19),(16,18),(16,19),(17,18),(18,6),(19,6)],20) => 1
[1,5,4,3,2,6] => ([(0,3),(0,4),(0,5),(1,14),(2,1),(2,6),(2,7),(3,9),(3,11),(4,9),(4,10),(5,2),(5,10),(5,11),(6,13),(6,14),(7,13),(7,14),(9,12),(10,6),(10,12),(11,7),(11,12),(12,13),(13,8),(14,8)],15) => 1
[1,5,4,3,6,2] => ([(0,1),(0,3),(0,4),(0,5),(1,6),(1,15),(2,7),(2,8),(2,13),(3,10),(3,12),(3,15),(4,2),(4,11),(4,12),(4,15),(5,6),(5,10),(5,11),(6,16),(7,17),(8,17),(8,18),(10,14),(10,16),(11,8),(11,14),(11,16),(12,7),(12,13),(12,14),(13,17),(13,18),(14,17),(14,18),(15,13),(15,16),(16,18),(17,9),(18,9)],19) => 1
[1,5,4,6,2,3] => ([(0,2),(0,3),(0,4),(0,5),(1,6),(1,15),(1,18),(2,10),(2,11),(2,12),(3,8),(3,9),(3,12),(4,9),(4,10),(4,13),(5,1),(5,8),(5,11),(5,13),(6,19),(6,20),(8,14),(8,18),(9,14),(9,16),(10,16),(10,17),(11,15),(11,17),(11,18),(12,15),(12,16),(12,18),(13,6),(13,14),(13,17),(14,19),(15,20),(16,19),(16,20),(17,19),(17,20),(18,19),(18,20),(19,7),(20,7)],21) => 1
[1,5,4,6,3,2] => ([(0,1),(0,3),(0,4),(0,5),(1,6),(1,15),(2,7),(2,8),(2,13),(3,10),(3,12),(3,15),(4,2),(4,11),(4,12),(4,15),(5,6),(5,10),(5,11),(6,16),(7,17),(8,17),(8,18),(10,14),(10,16),(11,8),(11,14),(11,16),(12,7),(12,13),(12,14),(13,17),(13,18),(14,17),(14,18),(15,13),(15,16),(16,18),(17,9),(18,9)],19) => 1
[1,5,6,2,3,4] => ([(0,3),(0,4),(0,5),(1,14),(2,6),(2,8),(2,14),(3,9),(3,10),(4,2),(4,10),(4,11),(5,1),(5,9),(5,11),(6,13),(6,15),(8,13),(8,15),(9,12),(9,14),(10,8),(10,12),(11,6),(11,12),(11,14),(12,13),(12,15),(13,7),(14,15),(15,7)],16) => 1
[1,5,6,2,4,3] => ([(0,2),(0,3),(0,4),(0,5),(1,14),(1,19),(2,9),(2,11),(2,12),(3,8),(3,9),(3,10),(4,7),(4,8),(4,11),(5,1),(5,7),(5,10),(5,12),(7,13),(7,19),(8,13),(8,16),(9,15),(9,16),(10,13),(10,15),(10,19),(11,14),(11,16),(11,19),(12,14),(12,15),(12,19),(13,17),(14,18),(15,17),(15,18),(16,17),(16,18),(17,6),(18,6),(19,17),(19,18)],20) => 1
[1,5,6,3,2,4] => ([(0,2),(0,3),(0,4),(0,5),(1,6),(1,15),(1,18),(2,10),(2,11),(2,12),(3,8),(3,9),(3,12),(4,9),(4,10),(4,13),(5,1),(5,8),(5,11),(5,13),(6,19),(6,20),(8,14),(8,18),(9,14),(9,16),(10,16),(10,17),(11,15),(11,17),(11,18),(12,15),(12,16),(12,18),(13,6),(13,14),(13,17),(14,19),(15,20),(16,19),(16,20),(17,19),(17,20),(18,19),(18,20),(19,7),(20,7)],21) => 1
[1,5,6,3,4,2] => ([(0,1),(0,2),(0,3),(0,4),(1,9),(1,10),(1,15),(2,8),(2,11),(2,15),(3,7),(3,8),(3,9),(4,7),(4,10),(4,11),(4,15),(5,17),(7,12),(7,13),(7,16),(8,13),(8,16),(9,12),(9,16),(10,12),(10,14),(11,5),(11,13),(11,14),(12,18),(13,17),(13,18),(14,17),(14,18),(15,5),(15,14),(15,16),(16,17),(16,18),(17,6),(18,6)],19) => 1
[1,5,6,4,2,3] => ([(0,1),(0,2),(0,3),(0,4),(1,7),(1,8),(1,9),(2,9),(2,10),(2,12),(3,8),(3,10),(3,11),(4,7),(4,11),(4,12),(5,17),(7,14),(7,15),(8,13),(8,14),(9,13),(9,15),(10,13),(10,16),(11,5),(11,14),(11,16),(12,5),(12,15),(12,16),(13,18),(14,17),(14,18),(15,17),(15,18),(16,17),(16,18),(17,6),(18,6)],19) => 1
[1,5,6,4,3,2] => ([(0,3),(0,4),(0,5),(1,14),(2,1),(2,6),(2,7),(3,9),(3,11),(4,9),(4,10),(5,2),(5,10),(5,11),(6,13),(6,14),(7,13),(7,14),(9,12),(10,6),(10,12),(11,7),(11,12),(12,13),(13,8),(14,8)],15) => 1
[1,6,2,3,4,5] => ([(0,2),(0,3),(0,5),(1,8),(1,12),(2,10),(3,6),(3,10),(4,1),(4,9),(4,11),(5,4),(5,6),(5,10),(6,9),(6,11),(8,7),(9,8),(9,12),(10,11),(11,12),(12,7)],13) => 1
[1,6,2,3,5,4] => ([(0,2),(0,3),(0,4),(0,5),(1,10),(1,17),(2,7),(2,13),(3,9),(3,11),(3,13),(4,1),(4,8),(4,11),(4,13),(5,7),(5,8),(5,9),(7,16),(8,12),(8,16),(8,17),(9,12),(9,16),(10,14),(11,10),(11,12),(11,17),(12,14),(12,15),(13,16),(13,17),(14,6),(15,6),(16,15),(17,14),(17,15)],18) => 1
[1,6,2,4,3,5] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,9),(1,12),(1,15),(2,10),(2,12),(2,16),(3,11),(3,13),(3,15),(3,16),(4,8),(4,10),(4,11),(4,15),(5,8),(5,9),(5,13),(5,16),(6,18),(6,19),(8,14),(8,17),(8,20),(9,17),(9,21),(10,20),(10,21),(11,14),(11,20),(12,21),(13,6),(13,14),(13,17),(14,19),(15,17),(15,20),(15,21),(16,6),(16,20),(16,21),(17,18),(17,19),(18,7),(19,7),(20,18),(20,19),(21,18)],22) => 1
[1,6,2,4,5,3] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,9),(1,12),(1,15),(2,10),(2,12),(2,16),(3,11),(3,13),(3,15),(3,16),(4,8),(4,10),(4,11),(4,15),(5,8),(5,9),(5,13),(5,16),(6,18),(6,19),(8,14),(8,17),(8,20),(9,17),(9,21),(10,20),(10,21),(11,14),(11,20),(12,21),(13,6),(13,14),(13,17),(14,19),(15,17),(15,20),(15,21),(16,6),(16,20),(16,21),(17,18),(17,19),(18,7),(19,7),(20,18),(20,19),(21,18)],22) => 1
[1,6,2,5,3,4] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,10),(1,11),(1,19),(2,9),(2,12),(2,19),(3,8),(3,12),(3,19),(4,6),(4,8),(4,10),(4,19),(5,6),(5,9),(5,11),(5,19),(6,13),(6,17),(6,18),(8,16),(8,17),(9,16),(9,18),(10,13),(10,17),(11,13),(11,18),(12,16),(13,15),(14,7),(15,7),(16,14),(17,14),(17,15),(18,14),(18,15),(19,16),(19,17),(19,18)],20) => 1
[1,6,2,5,4,3] => ([(0,1),(0,2),(0,4),(0,5),(1,9),(1,16),(2,10),(2,16),(3,6),(3,7),(3,15),(4,9),(4,11),(4,16),(5,3),(5,10),(5,11),(5,16),(6,13),(7,13),(7,14),(9,12),(10,6),(10,15),(11,7),(11,12),(11,15),(12,14),(13,8),(14,8),(15,13),(15,14),(16,12),(16,15)],17) => 1
[1,6,3,2,4,5] => ([(0,2),(0,3),(0,4),(0,5),(1,6),(1,16),(2,8),(2,10),(2,12),(3,8),(3,9),(3,11),(4,9),(4,10),(4,13),(5,1),(5,11),(5,12),(5,13),(6,17),(8,19),(9,14),(9,19),(10,15),(10,19),(11,14),(11,16),(11,19),(12,15),(12,16),(12,19),(13,6),(13,14),(13,15),(14,17),(14,18),(15,17),(15,18),(16,17),(16,18),(17,7),(18,7),(19,18)],20) => 1
[1,6,3,2,5,4] => ([(0,1),(0,2),(0,3),(0,4),(1,10),(1,11),(1,12),(2,8),(2,9),(2,12),(3,6),(3,7),(3,9),(3,11),(4,6),(4,7),(4,8),(4,10),(6,14),(6,19),(7,13),(7,15),(7,19),(8,13),(8,19),(9,13),(9,16),(9,19),(10,14),(10,15),(10,19),(11,14),(11,15),(11,16),(12,16),(12,19),(13,17),(14,18),(15,17),(15,18),(16,17),(16,18),(17,5),(18,5),(19,17),(19,18)],20) => 1
[1,6,3,4,2,5] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,6),(1,8),(1,18),(2,11),(2,13),(2,14),(2,18),(3,10),(3,12),(3,14),(3,18),(4,8),(4,9),(4,12),(4,13),(5,6),(5,9),(5,10),(5,11),(6,23),(8,19),(8,23),(9,16),(9,17),(9,23),(10,16),(10,20),(10,23),(11,17),(11,20),(11,23),(12,15),(12,16),(12,19),(13,15),(13,17),(13,19),(14,15),(14,20),(15,22),(16,21),(16,22),(17,21),(17,22),(18,19),(18,20),(18,23),(19,21),(19,22),(20,21),(20,22),(21,7),(22,7),(23,21)],24) => 1
[1,6,3,4,5,2] => ([(0,2),(0,3),(0,4),(0,5),(1,6),(1,16),(2,8),(2,10),(2,12),(3,8),(3,9),(3,11),(4,9),(4,10),(4,13),(5,1),(5,11),(5,12),(5,13),(6,17),(8,19),(9,14),(9,19),(10,15),(10,19),(11,14),(11,16),(11,19),(12,15),(12,16),(12,19),(13,6),(13,14),(13,15),(14,17),(14,18),(15,17),(15,18),(16,17),(16,18),(17,7),(18,7),(19,18)],20) => 1
[1,6,3,5,4,2] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,6),(1,17),(2,9),(2,11),(2,13),(2,17),(3,8),(3,11),(3,12),(3,17),(4,10),(4,12),(4,13),(4,17),(5,6),(5,8),(5,9),(5,10),(6,20),(8,15),(8,20),(8,21),(9,16),(9,20),(9,21),(10,15),(10,16),(10,20),(11,14),(11,21),(12,14),(12,15),(12,21),(13,14),(13,16),(13,21),(14,19),(15,18),(15,19),(16,18),(16,19),(17,20),(17,21),(18,7),(19,7),(20,18),(21,18),(21,19)],22) => 1
[1,6,4,2,3,5] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,17),(2,10),(2,11),(2,17),(3,8),(3,9),(3,13),(3,17),(4,7),(4,9),(4,10),(4,17),(5,7),(5,8),(5,11),(5,12),(7,15),(7,20),(7,21),(8,14),(8,15),(8,20),(9,15),(9,16),(9,21),(10,21),(11,20),(11,21),(12,14),(12,20),(13,14),(13,16),(14,19),(15,18),(15,19),(16,18),(16,19),(17,16),(17,20),(17,21),(18,6),(19,6),(20,18),(20,19),(21,18)],22) => 1
[1,6,4,3,2,5] => ([(0,1),(0,3),(0,4),(0,5),(1,6),(1,15),(2,7),(2,8),(2,13),(3,10),(3,12),(3,15),(4,2),(4,11),(4,12),(4,15),(5,6),(5,10),(5,11),(6,16),(7,17),(8,17),(8,18),(10,14),(10,16),(11,8),(11,14),(11,16),(12,7),(12,13),(12,14),(13,17),(13,18),(14,17),(14,18),(15,13),(15,16),(16,18),(17,9),(18,9)],19) => 1
[1,6,4,3,5,2] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,6),(1,19),(2,10),(2,12),(2,13),(2,19),(3,9),(3,11),(3,13),(3,19),(4,8),(4,11),(4,12),(4,19),(5,6),(5,8),(5,9),(5,10),(6,20),(8,15),(8,16),(8,20),(9,15),(9,17),(9,20),(10,16),(10,17),(10,20),(11,14),(11,15),(11,18),(12,14),(12,16),(12,18),(13,14),(13,17),(13,18),(14,22),(15,21),(15,22),(16,21),(16,22),(17,21),(17,22),(18,21),(18,22),(19,18),(19,20),(20,21),(21,7),(22,7)],23) => 1
[1,6,4,5,2,3] => ([(0,1),(0,2),(0,3),(0,4),(1,9),(1,10),(1,15),(2,8),(2,11),(2,15),(3,7),(3,8),(3,9),(4,7),(4,10),(4,11),(4,15),(5,17),(7,12),(7,13),(7,16),(8,13),(8,16),(9,12),(9,16),(10,12),(10,14),(11,5),(11,13),(11,14),(12,18),(13,17),(13,18),(14,17),(14,18),(15,5),(15,14),(15,16),(16,17),(16,18),(17,6),(18,6)],19) => 1
[1,6,4,5,3,2] => ([(0,1),(0,3),(0,4),(0,5),(1,6),(1,15),(2,7),(2,8),(2,13),(3,10),(3,12),(3,15),(4,2),(4,11),(4,12),(4,15),(5,6),(5,10),(5,11),(6,16),(7,17),(8,17),(8,18),(10,14),(10,16),(11,8),(11,14),(11,16),(12,7),(12,13),(12,14),(13,17),(13,18),(14,17),(14,18),(15,13),(15,16),(16,18),(17,9),(18,9)],19) => 1
[1,6,5,2,3,4] => ([(0,3),(0,4),(0,5),(1,13),(2,6),(2,8),(3,9),(3,10),(4,2),(4,10),(4,11),(5,1),(5,9),(5,11),(6,14),(6,15),(8,14),(9,12),(9,13),(10,8),(10,12),(11,6),(11,12),(11,13),(12,14),(12,15),(13,15),(14,7),(15,7)],16) => 1
[1,6,5,2,4,3] => ([(0,2),(0,3),(0,4),(0,5),(1,10),(1,17),(2,7),(2,13),(3,9),(3,11),(3,13),(4,1),(4,8),(4,11),(4,13),(5,7),(5,8),(5,9),(7,16),(8,12),(8,16),(8,17),(9,12),(9,16),(10,14),(11,10),(11,12),(11,17),(12,14),(12,15),(13,16),(13,17),(14,6),(15,6),(16,15),(17,14),(17,15)],18) => 1
[1,6,5,3,2,4] => ([(0,1),(0,3),(0,4),(0,5),(1,6),(1,15),(2,7),(2,8),(2,13),(3,10),(3,12),(3,15),(4,2),(4,11),(4,12),(4,15),(5,6),(5,10),(5,11),(6,16),(7,17),(8,17),(8,18),(10,14),(10,16),(11,8),(11,14),(11,16),(12,7),(12,13),(12,14),(13,17),(13,18),(14,17),(14,18),(15,13),(15,16),(16,18),(17,9),(18,9)],19) => 1
[1,6,5,3,4,2] => ([(0,1),(0,3),(0,4),(0,5),(1,6),(1,15),(2,7),(2,8),(2,13),(3,10),(3,12),(3,15),(4,2),(4,11),(4,12),(4,15),(5,6),(5,10),(5,11),(6,16),(7,17),(8,17),(8,18),(10,14),(10,16),(11,8),(11,14),(11,16),(12,7),(12,13),(12,14),(13,17),(13,18),(14,17),(14,18),(15,13),(15,16),(16,18),(17,9),(18,9)],19) => 1
[1,6,5,4,2,3] => ([(0,3),(0,4),(0,5),(1,14),(2,1),(2,6),(2,7),(3,9),(3,11),(4,9),(4,10),(5,2),(5,10),(5,11),(6,13),(6,14),(7,13),(7,14),(9,12),(10,6),(10,12),(11,7),(11,12),(12,13),(13,8),(14,8)],15) => 1
[1,6,5,4,3,2] => ([(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
[2,1,3,4,5,6] => ([(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
[2,1,3,4,6,5] => ([(0,2),(0,3),(0,4),(1,7),(1,8),(2,6),(2,11),(3,6),(3,10),(4,1),(4,10),(4,11),(6,12),(7,9),(7,13),(8,9),(8,13),(9,5),(10,7),(10,12),(11,8),(11,12),(12,13),(13,5)],14) => 1
[2,1,3,5,4,6] => ([(0,1),(0,2),(0,3),(0,4),(1,6),(1,13),(2,8),(2,9),(2,13),(3,7),(3,9),(3,13),(4,6),(4,7),(4,8),(6,15),(7,12),(7,15),(8,11),(8,12),(8,15),(9,11),(9,12),(10,5),(11,10),(11,14),(12,10),(12,14),(13,11),(13,15),(14,5),(15,14)],16) => 1
[2,1,3,5,6,4] => ([(0,2),(0,3),(0,4),(0,5),(1,13),(1,16),(2,6),(2,14),(3,10),(3,11),(3,14),(4,9),(4,11),(4,14),(5,6),(5,9),(5,10),(6,15),(7,13),(7,16),(9,12),(9,15),(10,1),(10,12),(10,15),(11,7),(11,12),(12,13),(12,16),(13,8),(14,7),(14,15),(15,16),(16,8)],17) => 1
[2,1,3,6,4,5] => ([(0,2),(0,3),(0,4),(0,5),(1,13),(1,16),(2,6),(2,14),(3,10),(3,11),(3,14),(4,9),(4,11),(4,14),(5,6),(5,9),(5,10),(6,15),(7,13),(7,16),(9,12),(9,15),(10,1),(10,12),(10,15),(11,7),(11,12),(12,13),(12,16),(13,8),(14,7),(14,15),(15,16),(16,8)],17) => 1
[2,1,3,6,5,4] => ([(0,3),(0,4),(0,5),(1,14),(2,6),(2,7),(3,9),(3,10),(4,9),(4,11),(5,2),(5,10),(5,11),(6,13),(7,13),(7,14),(9,1),(9,12),(10,6),(10,12),(11,7),(11,12),(12,13),(12,14),(13,8),(14,8)],15) => 1
[2,1,4,3,5,6] => ([(0,2),(0,3),(0,4),(1,7),(1,13),(2,6),(2,12),(3,1),(3,9),(3,12),(4,6),(4,9),(4,12),(6,10),(7,8),(7,11),(8,5),(9,7),(9,10),(9,13),(10,11),(11,5),(12,10),(12,13),(13,8),(13,11)],14) => 1
[2,1,4,3,6,5] => ([(0,1),(0,2),(0,3),(1,5),(1,6),(1,12),(2,6),(2,7),(2,12),(3,5),(3,7),(3,12),(5,9),(5,10),(6,9),(6,11),(7,9),(7,10),(7,11),(8,4),(9,13),(10,8),(10,13),(11,8),(11,13),(12,10),(12,11),(13,4)],14) => 1
[2,1,4,5,3,6] => ([(0,2),(0,3),(0,4),(0,5),(1,10),(1,15),(1,17),(2,7),(2,13),(3,8),(3,9),(3,13),(4,8),(4,11),(4,13),(5,1),(5,7),(5,9),(5,11),(7,17),(8,12),(8,15),(9,12),(9,15),(9,17),(10,14),(10,16),(11,10),(11,12),(11,17),(12,14),(12,16),(13,15),(13,17),(14,6),(15,14),(15,16),(16,6),(17,16)],18) => 1
[2,1,4,5,6,3] => ([(0,3),(0,4),(0,5),(1,8),(1,14),(2,6),(2,7),(3,10),(3,11),(4,2),(4,11),(4,12),(5,1),(5,10),(5,12),(6,13),(6,15),(7,13),(7,15),(8,13),(8,15),(10,14),(11,7),(11,14),(12,6),(12,8),(12,14),(13,9),(14,15),(15,9)],16) => 1
[2,1,4,6,3,5] => ([(0,1),(0,2),(0,3),(0,4),(0,6),(1,10),(1,15),(1,16),(2,11),(2,15),(2,16),(3,13),(3,15),(3,16),(4,12),(4,15),(4,16),(5,8),(5,9),(5,14),(5,20),(6,5),(6,10),(6,11),(6,12),(6,13),(8,17),(8,19),(9,17),(9,19),(10,18),(10,20),(11,14),(11,18),(11,20),(12,8),(12,18),(12,20),(13,9),(13,18),(13,20),(14,17),(14,19),(15,14),(15,20),(16,14),(16,18),(17,7),(18,19),(19,7),(20,17),(20,19)],21) => 1
[2,1,4,6,5,3] => ([(0,1),(0,3),(0,4),(0,5),(1,11),(1,15),(2,6),(2,8),(2,18),(3,12),(3,13),(3,15),(4,10),(4,13),(4,15),(5,2),(5,10),(5,11),(5,12),(6,16),(6,17),(7,16),(7,17),(8,16),(10,14),(10,18),(11,8),(11,18),(12,6),(12,14),(12,18),(13,7),(13,14),(14,17),(15,7),(15,18),(16,9),(17,9),(18,16),(18,17)],19) => 1
[2,1,5,3,4,6] => ([(0,2),(0,3),(0,4),(0,5),(1,10),(1,15),(1,17),(2,7),(2,13),(3,8),(3,9),(3,13),(4,8),(4,11),(4,13),(5,1),(5,7),(5,9),(5,11),(7,17),(8,12),(8,15),(9,12),(9,15),(9,17),(10,14),(10,16),(11,10),(11,12),(11,17),(12,14),(12,16),(13,15),(13,17),(14,6),(15,14),(15,16),(16,6),(17,16)],18) => 1
[2,1,5,3,6,4] => ([(0,1),(0,2),(0,3),(0,4),(0,6),(1,10),(1,15),(1,16),(2,11),(2,15),(2,16),(3,13),(3,15),(3,16),(4,12),(4,15),(4,16),(5,8),(5,9),(5,14),(5,20),(6,5),(6,10),(6,11),(6,12),(6,13),(8,17),(8,19),(9,17),(9,19),(10,18),(10,20),(11,14),(11,18),(11,20),(12,8),(12,18),(12,20),(13,9),(13,18),(13,20),(14,17),(14,19),(15,14),(15,20),(16,14),(16,18),(17,7),(18,19),(19,7),(20,17),(20,19)],21) => 1
[2,1,5,4,3,6] => ([(0,3),(0,4),(0,5),(1,6),(1,15),(2,7),(2,15),(3,9),(3,10),(4,1),(4,9),(4,11),(5,2),(5,10),(5,11),(6,13),(7,14),(9,12),(9,15),(10,7),(10,12),(11,6),(11,12),(11,15),(12,13),(12,14),(13,8),(14,8),(15,13),(15,14)],16) => 1
[2,1,5,4,6,3] => ([(0,1),(0,3),(0,4),(0,5),(1,11),(1,14),(2,6),(2,8),(2,15),(3,10),(3,12),(3,14),(4,9),(4,10),(4,14),(5,2),(5,9),(5,11),(5,12),(6,17),(6,18),(8,17),(9,13),(9,15),(9,16),(10,13),(10,15),(11,8),(11,16),(12,6),(12,13),(12,16),(13,18),(14,15),(14,16),(15,17),(15,18),(16,17),(16,18),(17,7),(18,7)],19) => 1
[2,1,5,6,3,4] => ([(0,2),(0,3),(0,4),(1,7),(1,8),(2,1),(2,11),(2,12),(3,9),(3,10),(3,12),(4,9),(4,10),(4,11),(5,15),(5,16),(7,15),(7,16),(8,15),(8,16),(9,5),(9,13),(10,5),(10,14),(11,7),(11,13),(11,14),(12,8),(12,13),(12,14),(13,16),(14,15),(14,16),(15,6),(16,6)],17) => 1
[2,1,5,6,4,3] => ([(0,3),(0,4),(0,5),(1,6),(1,9),(2,7),(2,8),(3,1),(3,11),(3,13),(4,2),(4,12),(4,13),(5,11),(5,12),(6,15),(7,16),(8,15),(8,16),(9,15),(9,16),(11,9),(11,14),(12,7),(12,14),(13,6),(13,8),(13,14),(14,15),(14,16),(15,10),(16,10)],17) => 1
[2,1,6,3,4,5] => ([(0,3),(0,4),(0,5),(1,8),(1,14),(2,6),(2,7),(3,10),(3,11),(4,2),(4,11),(4,12),(5,1),(5,10),(5,12),(6,13),(6,15),(7,13),(7,15),(8,13),(8,15),(10,14),(11,7),(11,14),(12,6),(12,8),(12,14),(13,9),(14,15),(15,9)],16) => 1
[2,1,6,3,5,4] => ([(0,1),(0,3),(0,4),(0,5),(1,11),(1,15),(2,6),(2,8),(2,18),(3,12),(3,13),(3,15),(4,10),(4,13),(4,15),(5,2),(5,10),(5,11),(5,12),(6,16),(6,17),(7,16),(7,17),(8,16),(10,14),(10,18),(11,8),(11,18),(12,6),(12,14),(12,18),(13,7),(13,14),(14,17),(15,7),(15,18),(16,9),(17,9),(18,16),(18,17)],19) => 1
[2,1,6,4,3,5] => ([(0,1),(0,3),(0,4),(0,5),(1,11),(1,14),(2,6),(2,8),(2,15),(3,10),(3,12),(3,14),(4,9),(4,10),(4,14),(5,2),(5,9),(5,11),(5,12),(6,17),(6,18),(8,17),(9,13),(9,15),(9,16),(10,13),(10,15),(11,8),(11,16),(12,6),(12,13),(12,16),(13,18),(14,15),(14,16),(15,17),(15,18),(16,17),(16,18),(17,7),(18,7)],19) => 1
[2,1,6,4,5,3] => ([(0,1),(0,2),(0,3),(0,5),(1,11),(1,16),(2,13),(2,14),(2,16),(3,12),(3,14),(3,16),(4,7),(4,8),(4,9),(5,4),(5,11),(5,12),(5,13),(6,18),(6,19),(7,18),(8,18),(8,19),(9,18),(9,19),(11,7),(11,17),(12,8),(12,15),(12,17),(13,9),(13,15),(13,17),(14,6),(14,15),(15,19),(16,6),(16,17),(17,18),(17,19),(18,10),(19,10)],20) => 1
[2,1,6,5,3,4] => ([(0,3),(0,4),(0,5),(1,6),(1,9),(2,7),(2,8),(3,1),(3,11),(3,13),(4,2),(4,12),(4,13),(5,11),(5,12),(6,15),(7,16),(8,15),(8,16),(9,15),(9,16),(11,9),(11,14),(12,7),(12,14),(13,6),(13,8),(13,14),(14,15),(14,16),(15,10),(16,10)],17) => 1
[2,1,6,5,4,3] => ([(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) => 1
[2,3,1,4,5,6] => ([(0,2),(0,3),(0,5),(1,8),(1,12),(2,10),(3,6),(3,10),(4,1),(4,9),(4,11),(5,4),(5,6),(5,10),(6,9),(6,11),(8,7),(9,8),(9,12),(10,11),(11,12),(12,7)],13) => 1
[2,3,1,4,6,5] => ([(0,2),(0,3),(0,4),(0,5),(1,13),(1,16),(2,6),(2,14),(3,10),(3,11),(3,14),(4,9),(4,11),(4,14),(5,6),(5,9),(5,10),(6,15),(7,13),(7,16),(9,12),(9,15),(10,1),(10,12),(10,15),(11,7),(11,12),(12,13),(12,16),(13,8),(14,7),(14,15),(15,16),(16,8)],17) => 1
[2,3,1,5,4,6] => ([(0,2),(0,3),(0,4),(0,5),(1,14),(1,16),(2,7),(2,8),(2,9),(3,7),(3,10),(3,12),(4,8),(4,11),(4,12),(5,9),(5,10),(5,11),(7,17),(8,15),(8,17),(9,1),(9,15),(9,17),(10,13),(10,17),(11,13),(11,15),(12,13),(12,15),(12,17),(13,14),(13,16),(14,6),(15,14),(15,16),(16,6),(17,16)],18) => 1
[2,3,1,5,6,4] => ([(0,1),(0,2),(0,3),(0,4),(1,9),(1,10),(1,12),(2,8),(2,10),(2,11),(3,7),(3,8),(3,12),(4,7),(4,9),(4,11),(5,15),(5,16),(7,17),(8,13),(8,17),(9,14),(9,17),(10,13),(10,14),(11,5),(11,14),(11,17),(12,5),(12,13),(12,17),(13,15),(13,16),(14,15),(14,16),(15,6),(16,6),(17,16)],18) => 1
[2,3,1,6,4,5] => ([(0,3),(0,4),(0,5),(0,6),(1,16),(1,18),(2,16),(2,18),(3,10),(3,11),(3,13),(4,9),(4,12),(4,13),(5,8),(5,9),(5,11),(6,8),(6,10),(6,12),(8,17),(9,14),(9,17),(10,15),(10,17),(11,2),(11,14),(11,17),(12,1),(12,15),(12,17),(13,14),(13,15),(14,16),(14,18),(15,16),(15,18),(16,7),(17,18),(18,7)],19) => 1
[2,3,1,6,5,4] => ([(0,3),(0,4),(0,6),(1,14),(2,14),(2,15),(3,8),(3,12),(4,9),(4,12),(5,2),(5,10),(5,11),(6,5),(6,8),(6,9),(8,11),(8,13),(9,10),(9,13),(10,15),(11,14),(11,15),(12,1),(12,13),(13,14),(13,15),(14,7),(15,7)],16) => 1
[2,3,4,1,5,6] => ([(0,3),(0,4),(0,5),(1,9),(1,13),(2,8),(2,13),(3,11),(4,2),(4,6),(4,11),(5,1),(5,6),(5,11),(6,8),(6,9),(6,13),(8,10),(8,12),(9,10),(9,12),(10,7),(11,13),(12,7),(13,12)],14) => 1
[2,3,4,1,6,5] => ([(0,3),(0,4),(0,5),(1,8),(1,14),(2,6),(2,7),(3,10),(3,11),(4,2),(4,11),(4,12),(5,1),(5,10),(5,12),(6,13),(6,15),(7,13),(7,15),(8,13),(8,15),(10,14),(11,7),(11,14),(12,6),(12,8),(12,14),(13,9),(14,15),(15,9)],16) => 1
[2,3,4,5,1,6] => ([(0,2),(0,3),(0,5),(1,8),(1,12),(2,10),(3,6),(3,10),(4,1),(4,9),(4,11),(5,4),(5,6),(5,10),(6,9),(6,11),(8,7),(9,8),(9,12),(10,11),(11,12),(12,7)],13) => 1
[2,3,4,5,6,1] => ([(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
[2,3,4,6,1,5] => ([(0,2),(0,3),(0,4),(0,6),(1,15),(1,17),(2,12),(2,13),(3,7),(3,12),(4,8),(4,12),(4,13),(5,1),(5,10),(5,11),(5,14),(6,5),(6,7),(6,8),(6,13),(7,10),(7,16),(8,11),(8,14),(8,16),(10,15),(10,17),(11,15),(11,17),(12,16),(13,14),(13,16),(14,15),(14,17),(15,9),(16,17),(17,9)],18) => 1
[2,3,4,6,5,1] => ([(0,3),(0,4),(0,5),(1,14),(2,1),(2,6),(2,7),(3,9),(3,11),(4,9),(4,10),(5,2),(5,10),(5,11),(6,13),(6,14),(7,13),(7,14),(9,12),(10,6),(10,12),(11,7),(11,12),(12,13),(13,8),(14,8)],15) => 1
[2,3,5,1,4,6] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(1,8),(1,19),(1,21),(2,12),(2,16),(2,17),(3,11),(3,16),(3,17),(4,9),(4,10),(4,16),(5,9),(5,12),(5,13),(5,17),(6,1),(6,10),(6,11),(6,13),(6,17),(8,18),(8,20),(9,14),(9,21),(10,14),(10,19),(10,21),(11,19),(11,21),(12,15),(12,21),(13,8),(13,14),(13,15),(13,19),(14,18),(14,20),(15,18),(15,20),(16,21),(17,15),(17,19),(17,21),(18,7),(19,18),(19,20),(20,7),(21,20)],22) => 1
[2,3,5,1,6,4] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(1,8),(1,15),(1,18),(1,20),(2,9),(2,14),(2,16),(3,11),(3,12),(3,16),(4,10),(4,11),(4,14),(5,12),(5,13),(5,14),(5,16),(6,1),(6,9),(6,10),(6,13),(6,16),(8,17),(8,21),(9,15),(9,20),(10,18),(10,19),(10,20),(11,19),(12,18),(12,19),(13,8),(13,15),(13,18),(13,20),(14,19),(14,20),(15,17),(15,21),(16,15),(16,18),(16,19),(17,7),(18,17),(18,21),(19,21),(20,17),(20,21),(21,7)],22) => 1
[2,3,5,4,1,6] => ([(0,2),(0,3),(0,4),(0,5),(1,6),(1,16),(2,8),(2,10),(2,12),(3,8),(3,9),(3,11),(4,9),(4,10),(4,13),(5,1),(5,11),(5,12),(5,13),(6,17),(8,19),(9,14),(9,19),(10,15),(10,19),(11,14),(11,16),(11,19),(12,15),(12,16),(12,19),(13,6),(13,14),(13,15),(14,17),(14,18),(15,17),(15,18),(16,17),(16,18),(17,7),(18,7),(19,18)],20) => 1
[2,3,5,4,6,1] => ([(0,1),(0,3),(0,4),(0,5),(1,6),(1,15),(2,7),(2,8),(2,13),(3,10),(3,12),(3,15),(4,2),(4,11),(4,12),(4,15),(5,6),(5,10),(5,11),(6,16),(7,17),(8,17),(8,18),(10,14),(10,16),(11,8),(11,14),(11,16),(12,7),(12,13),(12,14),(13,17),(13,18),(14,17),(14,18),(15,13),(15,16),(16,18),(17,9),(18,9)],19) => 1
[2,3,5,6,1,4] => ([(0,3),(0,4),(0,5),(0,6),(1,11),(1,18),(2,12),(2,17),(2,18),(3,7),(3,14),(4,1),(4,10),(4,13),(4,14),(5,2),(5,9),(5,13),(5,14),(6,7),(6,9),(6,10),(7,17),(9,15),(9,17),(10,15),(10,17),(10,18),(11,16),(11,19),(12,16),(12,19),(13,11),(13,12),(13,15),(13,18),(14,17),(14,18),(15,16),(15,19),(16,8),(17,19),(18,16),(18,19),(19,8)],20) => 1
[2,3,5,6,4,1] => ([(0,2),(0,3),(0,4),(0,5),(1,10),(1,17),(2,7),(2,13),(3,9),(3,11),(3,13),(4,1),(4,8),(4,11),(4,13),(5,7),(5,8),(5,9),(7,16),(8,12),(8,16),(8,17),(9,12),(9,16),(10,14),(11,10),(11,12),(11,17),(12,14),(12,15),(13,16),(13,17),(14,6),(15,6),(16,15),(17,14),(17,15)],18) => 1
[2,3,6,1,4,5] => ([(0,3),(0,4),(0,5),(0,6),(1,17),(1,20),(2,16),(2,20),(3,8),(3,10),(3,11),(4,8),(4,9),(4,12),(5,2),(5,9),(5,11),(5,13),(6,1),(6,10),(6,12),(6,13),(8,20),(9,15),(9,20),(10,14),(10,20),(11,14),(11,16),(11,20),(12,15),(12,17),(12,20),(13,14),(13,15),(13,16),(13,17),(14,18),(14,19),(15,18),(15,19),(16,18),(16,19),(17,18),(17,19),(18,7),(19,7),(20,19)],21) => 1
[2,3,6,1,5,4] => ([(0,2),(0,4),(0,5),(0,6),(1,14),(1,16),(2,12),(2,17),(3,7),(3,8),(3,18),(4,10),(4,11),(4,17),(5,1),(5,11),(5,13),(5,17),(6,3),(6,10),(6,12),(6,13),(7,19),(7,20),(8,19),(10,15),(10,18),(11,14),(11,15),(11,16),(12,8),(12,18),(13,7),(13,15),(13,16),(13,18),(14,20),(15,19),(15,20),(16,19),(16,20),(17,14),(17,18),(18,19),(18,20),(19,9),(20,9)],21) => 1
[2,3,6,4,5,1] => ([(0,1),(0,3),(0,4),(0,5),(1,6),(1,15),(2,7),(2,8),(2,13),(3,10),(3,12),(3,15),(4,2),(4,11),(4,12),(4,15),(5,6),(5,10),(5,11),(6,16),(7,17),(8,17),(8,18),(10,14),(10,16),(11,8),(11,14),(11,16),(12,7),(12,13),(12,14),(13,17),(13,18),(14,17),(14,18),(15,13),(15,16),(16,18),(17,9),(18,9)],19) => 1
[2,3,6,5,1,4] => ([(0,3),(0,4),(0,5),(0,6),(1,11),(1,16),(1,18),(2,12),(2,15),(3,9),(3,14),(4,8),(4,10),(4,14),(5,1),(5,8),(5,13),(5,14),(6,2),(6,9),(6,10),(6,13),(8,16),(8,18),(9,15),(9,17),(10,15),(10,17),(10,18),(11,19),(11,20),(12,19),(12,20),(13,11),(13,12),(13,17),(13,18),(14,16),(14,17),(15,19),(16,20),(17,19),(17,20),(18,19),(18,20),(19,7),(20,7)],21) => 1
[2,3,6,5,4,1] => ([(0,3),(0,4),(0,5),(1,13),(2,6),(2,8),(3,9),(3,10),(4,2),(4,10),(4,11),(5,1),(5,9),(5,11),(6,14),(6,15),(8,14),(9,12),(9,13),(10,8),(10,12),(11,6),(11,12),(11,13),(12,14),(12,15),(13,15),(14,7),(15,7)],16) => 1
[2,4,1,3,5,6] => ([(0,1),(0,2),(0,3),(0,4),(0,6),(1,14),(1,18),(2,13),(2,14),(2,18),(3,12),(3,14),(3,18),(4,11),(4,14),(4,18),(5,8),(5,9),(5,10),(5,16),(6,5),(6,11),(6,12),(6,13),(6,18),(8,15),(8,19),(9,15),(9,19),(10,15),(10,19),(11,8),(11,16),(11,17),(12,9),(12,16),(12,17),(13,10),(13,16),(13,17),(14,17),(15,7),(16,15),(16,19),(17,19),(18,16),(18,17),(19,7)],20) => 1
[2,4,1,3,6,5] => ([(0,1),(0,2),(0,3),(0,4),(0,6),(1,10),(1,15),(1,16),(2,11),(2,15),(2,16),(3,13),(3,15),(3,16),(4,12),(4,15),(4,16),(5,8),(5,9),(5,14),(5,20),(6,5),(6,10),(6,11),(6,12),(6,13),(8,17),(8,19),(9,17),(9,19),(10,18),(10,20),(11,14),(11,18),(11,20),(12,8),(12,18),(12,20),(13,9),(13,18),(13,20),(14,17),(14,19),(15,14),(15,20),(16,14),(16,18),(17,7),(18,19),(19,7),(20,17),(20,19)],21) => 1
[2,4,1,5,3,6] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,9),(1,16),(1,20),(2,8),(2,16),(2,17),(3,9),(3,10),(3,17),(3,20),(4,12),(4,13),(4,16),(4,17),(4,20),(5,11),(5,13),(5,16),(5,17),(5,20),(6,8),(6,10),(6,11),(6,12),(6,20),(8,19),(8,23),(9,22),(10,15),(10,19),(10,22),(11,14),(11,15),(11,19),(11,23),(12,14),(12,15),(12,19),(12,23),(13,14),(13,22),(13,23),(14,18),(14,21),(15,18),(15,21),(16,22),(16,23),(17,19),(17,22),(17,23),(18,7),(19,18),(19,21),(20,15),(20,22),(20,23),(21,7),(22,21),(23,18),(23,21)],24) => 1
[2,4,1,5,6,3] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(1,8),(1,15),(1,18),(1,20),(2,9),(2,14),(2,16),(3,11),(3,12),(3,16),(4,10),(4,11),(4,14),(5,12),(5,13),(5,14),(5,16),(6,1),(6,9),(6,10),(6,13),(6,16),(8,17),(8,21),(9,15),(9,20),(10,18),(10,19),(10,20),(11,19),(12,18),(12,19),(13,8),(13,15),(13,18),(13,20),(14,19),(14,20),(15,17),(15,21),(16,15),(16,18),(16,19),(17,7),(18,17),(18,21),(19,21),(20,17),(20,21),(21,7)],22) => 1
[2,4,1,6,5,3] => ([(0,1),(0,3),(0,4),(0,5),(0,6),(1,16),(1,18),(2,8),(2,17),(2,19),(2,22),(3,11),(3,12),(3,18),(4,13),(4,14),(4,16),(4,18),(5,10),(5,11),(5,13),(5,16),(6,2),(6,10),(6,12),(6,14),(6,18),(7,20),(8,20),(8,21),(10,15),(10,19),(10,22),(11,15),(11,22),(12,15),(12,17),(12,19),(13,7),(13,19),(13,22),(14,8),(14,17),(14,19),(14,22),(15,21),(16,7),(16,22),(17,20),(17,21),(18,17),(18,22),(19,20),(19,21),(20,9),(21,9),(22,20),(22,21)],23) => 1
[2,4,3,1,5,6] => ([(0,1),(0,2),(0,3),(0,5),(1,11),(1,14),(2,10),(2,13),(2,14),(3,10),(3,12),(3,14),(4,7),(4,8),(4,9),(5,4),(5,11),(5,12),(5,13),(7,17),(8,17),(8,18),(9,17),(9,18),(10,15),(11,7),(11,16),(12,8),(12,15),(12,16),(13,9),(13,15),(13,16),(14,15),(14,16),(15,18),(16,17),(16,18),(17,6),(18,6)],19) => 1
[2,4,3,1,6,5] => ([(0,1),(0,3),(0,4),(0,5),(1,11),(1,14),(2,6),(2,8),(2,15),(3,10),(3,12),(3,14),(4,9),(4,10),(4,14),(5,2),(5,9),(5,11),(5,12),(6,17),(6,18),(8,17),(9,13),(9,15),(9,16),(10,13),(10,15),(11,8),(11,16),(12,6),(12,13),(12,16),(13,18),(14,15),(14,16),(15,17),(15,18),(16,17),(16,18),(17,7),(18,7)],19) => 1
[2,4,3,5,1,6] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,9),(1,12),(1,15),(2,10),(2,12),(2,16),(3,11),(3,13),(3,15),(3,16),(4,8),(4,10),(4,11),(4,15),(5,8),(5,9),(5,13),(5,16),(6,18),(6,19),(8,14),(8,17),(8,20),(9,17),(9,21),(10,20),(10,21),(11,14),(11,20),(12,21),(13,6),(13,14),(13,17),(14,19),(15,17),(15,20),(15,21),(16,6),(16,20),(16,21),(17,18),(17,19),(18,7),(19,7),(20,18),(20,19),(21,18)],22) => 1
[2,4,3,5,6,1] => ([(0,1),(0,3),(0,4),(0,5),(1,6),(1,15),(2,7),(2,8),(2,13),(3,10),(3,12),(3,15),(4,2),(4,11),(4,12),(4,15),(5,6),(5,10),(5,11),(6,16),(7,17),(8,17),(8,18),(10,14),(10,16),(11,8),(11,14),(11,16),(12,7),(12,13),(12,14),(13,17),(13,18),(14,17),(14,18),(15,13),(15,16),(16,18),(17,9),(18,9)],19) => 1
[2,4,3,6,1,5] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(1,21),(1,22),(2,8),(2,10),(2,17),(3,12),(3,13),(3,15),(3,17),(4,11),(4,14),(4,15),(4,17),(5,8),(5,9),(5,13),(5,14),(6,9),(6,10),(6,11),(6,12),(8,19),(8,23),(9,1),(9,19),(9,20),(9,23),(10,18),(10,19),(11,18),(11,20),(12,18),(12,20),(12,23),(13,16),(13,23),(14,16),(14,20),(14,23),(15,16),(15,19),(15,20),(16,22),(17,18),(17,19),(17,23),(18,21),(19,21),(19,22),(20,21),(20,22),(21,7),(22,7),(23,21),(23,22)],24) => 1
[2,4,3,6,5,1] => ([(0,1),(0,2),(0,3),(0,4),(1,9),(1,10),(1,15),(2,8),(2,11),(2,15),(3,7),(3,8),(3,9),(4,7),(4,10),(4,11),(4,15),(5,17),(7,12),(7,13),(7,16),(8,13),(8,16),(9,12),(9,16),(10,12),(10,14),(11,5),(11,13),(11,14),(12,18),(13,17),(13,18),(14,17),(14,18),(15,5),(15,14),(15,16),(16,17),(16,18),(17,6),(18,6)],19) => 1
[2,4,5,1,3,6] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(1,20),(1,22),(2,13),(2,14),(2,17),(3,11),(3,12),(3,17),(4,8),(4,9),(4,11),(4,17),(5,1),(5,8),(5,10),(5,14),(5,17),(6,9),(6,10),(6,12),(6,13),(8,15),(8,20),(8,22),(9,15),(9,19),(9,22),(10,15),(10,16),(10,19),(10,20),(11,22),(12,19),(12,22),(13,16),(13,19),(14,16),(14,20),(14,22),(15,18),(15,21),(16,18),(16,21),(17,19),(17,20),(17,22),(18,7),(19,18),(19,21),(20,18),(20,21),(21,7),(22,21)],23) => 1
[2,4,5,1,6,3] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(1,18),(1,19),(2,7),(2,13),(2,15),(3,7),(3,12),(3,15),(4,8),(4,9),(4,12),(4,15),(5,8),(5,10),(5,13),(5,15),(6,1),(6,9),(6,10),(6,12),(6,13),(7,17),(8,14),(8,21),(9,14),(9,18),(9,19),(9,21),(10,14),(10,18),(10,19),(10,21),(12,17),(12,18),(12,21),(13,17),(13,19),(13,21),(14,16),(14,20),(15,17),(15,21),(16,11),(17,20),(18,16),(18,20),(19,16),(19,20),(20,11),(21,16),(21,20)],22) => 1
[2,4,5,3,1,6] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,17),(2,10),(2,11),(2,17),(3,8),(3,9),(3,13),(3,17),(4,7),(4,9),(4,10),(4,17),(5,7),(5,8),(5,11),(5,12),(7,15),(7,20),(7,21),(8,14),(8,15),(8,20),(9,15),(9,16),(9,21),(10,21),(11,20),(11,21),(12,14),(12,20),(13,14),(13,16),(14,19),(15,18),(15,19),(16,18),(16,19),(17,16),(17,20),(17,21),(18,6),(19,6),(20,18),(20,19),(21,18)],22) => 1
[2,4,5,3,6,1] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,6),(1,17),(2,9),(2,11),(2,13),(2,17),(3,8),(3,11),(3,12),(3,17),(4,10),(4,12),(4,13),(4,17),(5,6),(5,8),(5,9),(5,10),(6,20),(8,15),(8,20),(8,21),(9,16),(9,20),(9,21),(10,15),(10,16),(10,20),(11,14),(11,21),(12,14),(12,15),(12,21),(13,14),(13,16),(13,21),(14,19),(15,18),(15,19),(16,18),(16,19),(17,20),(17,21),(18,7),(19,7),(20,18),(21,18),(21,19)],22) => 1
[2,4,5,6,1,3] => ([(0,2),(0,3),(0,4),(0,6),(1,15),(1,17),(2,7),(2,14),(3,9),(3,14),(4,9),(4,10),(4,14),(5,1),(5,11),(5,12),(5,16),(6,5),(6,7),(6,10),(6,14),(7,11),(7,16),(9,13),(10,12),(10,13),(10,16),(11,15),(11,17),(12,15),(12,17),(13,17),(14,13),(14,16),(15,8),(16,15),(16,17),(17,8)],18) => 1
[2,4,5,6,3,1] => ([(0,1),(0,2),(0,4),(0,5),(1,9),(1,16),(2,10),(2,16),(3,6),(3,7),(3,15),(4,9),(4,11),(4,16),(5,3),(5,10),(5,11),(5,16),(6,13),(7,13),(7,14),(9,12),(10,6),(10,15),(11,7),(11,12),(11,15),(12,14),(13,8),(14,8),(15,13),(15,14),(16,12),(16,15)],17) => 1
[2,4,6,5,1,3] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(1,21),(1,22),(2,11),(2,13),(2,18),(3,12),(3,14),(3,18),(4,8),(4,9),(4,13),(4,18),(5,8),(5,10),(5,14),(5,18),(6,9),(6,10),(6,11),(6,12),(8,17),(8,19),(9,15),(9,19),(9,20),(10,1),(10,16),(10,19),(10,20),(11,15),(11,20),(12,16),(12,20),(13,15),(13,19),(14,16),(14,17),(15,21),(16,21),(16,22),(17,22),(18,17),(18,19),(18,20),(19,21),(19,22),(20,21),(20,22),(21,7),(22,7)],23) => 1
[2,4,6,5,3,1] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,10),(1,11),(1,19),(2,9),(2,12),(2,19),(3,8),(3,12),(3,19),(4,6),(4,8),(4,10),(4,19),(5,6),(5,9),(5,11),(5,19),(6,13),(6,17),(6,18),(8,16),(8,17),(9,16),(9,18),(10,13),(10,17),(11,13),(11,18),(12,16),(13,15),(14,7),(15,7),(16,14),(17,14),(17,15),(18,14),(18,15),(19,16),(19,17),(19,18)],20) => 1
[2,5,1,3,4,6] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(1,12),(1,20),(1,21),(2,13),(2,14),(3,8),(3,13),(3,15),(4,9),(4,10),(4,13),(4,15),(5,7),(5,8),(5,9),(5,14),(6,1),(6,7),(6,10),(6,14),(6,15),(7,12),(7,16),(7,18),(7,20),(8,18),(8,21),(9,16),(9,18),(9,21),(10,16),(10,20),(10,21),(12,17),(12,19),(13,21),(14,20),(14,21),(15,18),(15,20),(15,21),(16,17),(16,19),(17,11),(18,17),(18,19),(19,11),(20,17),(20,19),(21,19)],22) => 1
[2,5,1,6,3,4] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(1,17),(1,18),(1,21),(2,11),(2,13),(2,15),(3,12),(3,14),(3,15),(4,8),(4,10),(4,12),(4,15),(5,9),(5,10),(5,13),(5,15),(6,1),(6,8),(6,9),(6,11),(6,14),(8,17),(8,18),(8,19),(8,20),(9,17),(9,18),(9,19),(9,20),(10,20),(10,21),(11,17),(11,19),(12,18),(12,20),(13,17),(13,21),(14,18),(14,19),(14,21),(15,19),(15,20),(15,21),(16,7),(17,16),(17,22),(18,16),(18,22),(19,16),(19,22),(20,16),(20,22),(21,22),(22,7)],23) => 1
[2,5,1,6,4,3] => ([(0,1),(0,3),(0,4),(0,5),(0,6),(1,16),(1,18),(2,7),(2,17),(2,19),(3,11),(3,12),(3,16),(3,18),(4,10),(4,13),(4,18),(5,9),(5,10),(5,12),(5,18),(6,2),(6,9),(6,11),(6,13),(6,16),(7,20),(9,15),(9,17),(9,19),(9,22),(10,14),(10,19),(11,15),(11,17),(11,19),(11,22),(12,14),(12,15),(12,22),(13,7),(13,19),(13,22),(14,21),(15,20),(15,21),(16,17),(16,22),(17,20),(17,21),(18,14),(18,22),(19,20),(19,21),(20,8),(21,8),(22,20),(22,21)],23) => 1
[2,5,3,4,1,6] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,6),(1,8),(1,18),(2,11),(2,13),(2,14),(2,18),(3,10),(3,12),(3,14),(3,18),(4,8),(4,9),(4,12),(4,13),(5,6),(5,9),(5,10),(5,11),(6,23),(8,19),(8,23),(9,16),(9,17),(9,23),(10,16),(10,20),(10,23),(11,17),(11,20),(11,23),(12,15),(12,16),(12,19),(13,15),(13,17),(13,19),(14,15),(14,20),(15,22),(16,21),(16,22),(17,21),(17,22),(18,19),(18,20),(18,23),(19,21),(19,22),(20,21),(20,22),(21,7),(22,7),(23,21)],24) => 1
[2,5,3,4,6,1] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,6),(1,19),(2,10),(2,12),(2,13),(2,19),(3,9),(3,11),(3,13),(3,19),(4,8),(4,11),(4,12),(4,19),(5,6),(5,8),(5,9),(5,10),(6,20),(8,15),(8,16),(8,20),(9,15),(9,17),(9,20),(10,16),(10,17),(10,20),(11,14),(11,15),(11,18),(12,14),(12,16),(12,18),(13,14),(13,17),(13,18),(14,22),(15,21),(15,22),(16,21),(16,22),(17,21),(17,22),(18,21),(18,22),(19,18),(19,20),(20,21),(21,7),(22,7)],23) => 1
[2,5,4,3,1,6] => ([(0,1),(0,3),(0,4),(0,5),(1,6),(1,15),(2,7),(2,8),(2,13),(3,10),(3,12),(3,15),(4,2),(4,11),(4,12),(4,15),(5,6),(5,10),(5,11),(6,16),(7,17),(8,17),(8,18),(10,14),(10,16),(11,8),(11,14),(11,16),(12,7),(12,13),(12,14),(13,17),(13,18),(14,17),(14,18),(15,13),(15,16),(16,18),(17,9),(18,9)],19) => 1
[2,5,4,3,6,1] => ([(0,2),(0,3),(0,4),(0,5),(1,6),(1,16),(2,8),(2,10),(2,12),(3,8),(3,9),(3,11),(4,9),(4,10),(4,13),(5,1),(5,11),(5,12),(5,13),(6,17),(8,19),(9,14),(9,19),(10,15),(10,19),(11,14),(11,16),(11,19),(12,15),(12,16),(12,19),(13,6),(13,14),(13,15),(14,17),(14,18),(15,17),(15,18),(16,17),(16,18),(17,7),(18,7),(19,18)],20) => 1
[2,5,4,6,3,1] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,9),(1,12),(1,15),(2,10),(2,12),(2,16),(3,11),(3,13),(3,15),(3,16),(4,8),(4,10),(4,11),(4,15),(5,8),(5,9),(5,13),(5,16),(6,18),(6,19),(8,14),(8,17),(8,20),(9,17),(9,21),(10,20),(10,21),(11,14),(11,20),(12,21),(13,6),(13,14),(13,17),(14,19),(15,17),(15,20),(15,21),(16,6),(16,20),(16,21),(17,18),(17,19),(18,7),(19,7),(20,18),(20,19),(21,18)],22) => 1
[2,5,6,1,3,4] => ([(0,3),(0,4),(0,5),(0,6),(1,12),(1,19),(2,16),(2,19),(3,8),(3,13),(4,7),(4,9),(4,13),(5,2),(5,9),(5,10),(5,13),(6,1),(6,7),(6,8),(6,10),(7,14),(7,17),(7,19),(8,17),(8,19),(9,14),(9,16),(9,19),(10,12),(10,14),(10,16),(10,17),(12,15),(12,18),(13,16),(13,17),(14,15),(14,18),(15,11),(16,15),(16,18),(17,15),(17,18),(18,11),(19,18)],20) => 1
[2,5,6,1,4,3] => ([(0,3),(0,4),(0,5),(0,6),(1,9),(1,18),(2,8),(2,19),(3,10),(3,11),(3,13),(4,11),(4,12),(4,14),(5,2),(5,12),(5,13),(5,15),(6,1),(6,10),(6,14),(6,15),(8,20),(8,21),(9,20),(10,17),(10,18),(11,16),(11,18),(12,16),(12,19),(13,16),(13,17),(13,19),(14,9),(14,18),(14,19),(15,8),(15,17),(15,18),(15,19),(16,21),(17,20),(17,21),(18,20),(18,21),(19,20),(19,21),(20,7),(21,7)],22) => 1
[2,5,6,3,4,1] => ([(0,1),(0,2),(0,3),(0,4),(1,10),(1,11),(1,12),(2,8),(2,9),(2,12),(3,6),(3,7),(3,9),(3,11),(4,6),(4,7),(4,8),(4,10),(6,14),(6,19),(7,13),(7,15),(7,19),(8,13),(8,19),(9,13),(9,16),(9,19),(10,14),(10,15),(10,19),(11,14),(11,15),(11,16),(12,16),(12,19),(13,17),(14,18),(15,17),(15,18),(16,17),(16,18),(17,5),(18,5),(19,17),(19,18)],20) => 1
[2,5,6,4,3,1] => ([(0,2),(0,3),(0,4),(0,5),(1,10),(1,17),(2,7),(2,13),(3,9),(3,11),(3,13),(4,1),(4,8),(4,11),(4,13),(5,7),(5,8),(5,9),(7,16),(8,12),(8,16),(8,17),(9,12),(9,16),(10,14),(11,10),(11,12),(11,17),(12,14),(12,15),(13,16),(13,17),(14,6),(15,6),(16,15),(17,14),(17,15)],18) => 1
[2,6,1,3,4,5] => ([(0,2),(0,3),(0,4),(0,6),(1,15),(1,17),(2,12),(2,13),(3,7),(3,12),(4,8),(4,12),(4,13),(5,1),(5,10),(5,11),(5,14),(6,5),(6,7),(6,8),(6,13),(7,10),(7,16),(8,11),(8,14),(8,16),(10,15),(10,17),(11,15),(11,17),(12,16),(13,14),(13,16),(14,15),(14,17),(15,9),(16,17),(17,9)],18) => 1
[2,6,1,4,3,5] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(1,21),(1,22),(2,8),(2,10),(2,17),(3,12),(3,13),(3,15),(3,17),(4,11),(4,14),(4,15),(4,17),(5,8),(5,9),(5,13),(5,14),(6,9),(6,10),(6,11),(6,12),(8,19),(8,23),(9,1),(9,19),(9,20),(9,23),(10,18),(10,19),(11,18),(11,20),(12,18),(12,20),(12,23),(13,16),(13,23),(14,16),(14,20),(14,23),(15,16),(15,19),(15,20),(16,22),(17,18),(17,19),(17,23),(18,21),(19,21),(19,22),(20,21),(20,22),(21,7),(22,7),(23,21),(23,22)],24) => 1
[2,6,1,5,3,4] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(1,21),(1,22),(2,11),(2,13),(2,18),(3,12),(3,14),(3,18),(4,8),(4,9),(4,13),(4,18),(5,8),(5,10),(5,14),(5,18),(6,9),(6,10),(6,11),(6,12),(8,17),(8,19),(9,15),(9,19),(9,20),(10,1),(10,16),(10,19),(10,20),(11,15),(11,20),(12,16),(12,20),(13,15),(13,19),(14,16),(14,17),(15,21),(16,21),(16,22),(17,22),(18,17),(18,19),(18,20),(19,21),(19,22),(20,21),(20,22),(21,7),(22,7)],23) => 1
[2,6,1,5,4,3] => ([(0,2),(0,3),(0,4),(0,6),(1,15),(1,17),(2,7),(2,14),(3,9),(3,14),(4,9),(4,10),(4,14),(5,1),(5,11),(5,12),(5,16),(6,5),(6,7),(6,10),(6,14),(7,11),(7,16),(9,13),(10,12),(10,13),(10,16),(11,15),(11,17),(12,15),(12,17),(13,17),(14,13),(14,16),(15,8),(16,15),(16,17),(17,8)],18) => 1
[2,6,3,4,5,1] => ([(0,1),(0,3),(0,4),(0,5),(1,6),(1,15),(2,7),(2,8),(2,13),(3,10),(3,12),(3,15),(4,2),(4,11),(4,12),(4,15),(5,6),(5,10),(5,11),(6,16),(7,17),(8,17),(8,18),(10,14),(10,16),(11,8),(11,14),(11,16),(12,7),(12,13),(12,14),(13,17),(13,18),(14,17),(14,18),(15,13),(15,16),(16,18),(17,9),(18,9)],19) => 1
[2,6,3,5,4,1] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,17),(2,10),(2,11),(2,17),(3,8),(3,9),(3,13),(3,17),(4,7),(4,9),(4,10),(4,17),(5,7),(5,8),(5,11),(5,12),(7,15),(7,20),(7,21),(8,14),(8,15),(8,20),(9,15),(9,16),(9,21),(10,21),(11,20),(11,21),(12,14),(12,20),(13,14),(13,16),(14,19),(15,18),(15,19),(16,18),(16,19),(17,16),(17,20),(17,21),(18,6),(19,6),(20,18),(20,19),(21,18)],22) => 1
[2,6,4,3,5,1] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,6),(1,8),(1,18),(2,11),(2,13),(2,14),(2,18),(3,10),(3,12),(3,14),(3,18),(4,8),(4,9),(4,12),(4,13),(5,6),(5,9),(5,10),(5,11),(6,23),(8,19),(8,23),(9,16),(9,17),(9,23),(10,16),(10,20),(10,23),(11,17),(11,20),(11,23),(12,15),(12,16),(12,19),(13,15),(13,17),(13,19),(14,15),(14,20),(15,22),(16,21),(16,22),(17,21),(17,22),(18,19),(18,20),(18,23),(19,21),(19,22),(20,21),(20,22),(21,7),(22,7),(23,21)],24) => 1
[2,6,4,5,1,3] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(1,21),(1,22),(2,8),(2,10),(2,17),(3,12),(3,13),(3,15),(3,17),(4,11),(4,14),(4,15),(4,17),(5,8),(5,9),(5,13),(5,14),(6,9),(6,10),(6,11),(6,12),(8,19),(8,23),(9,1),(9,19),(9,20),(9,23),(10,18),(10,19),(11,18),(11,20),(12,18),(12,20),(12,23),(13,16),(13,23),(14,16),(14,20),(14,23),(15,16),(15,19),(15,20),(16,22),(17,18),(17,19),(17,23),(18,21),(19,21),(19,22),(20,21),(20,22),(21,7),(22,7),(23,21),(23,22)],24) => 1
[2,6,4,5,3,1] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,9),(1,12),(1,15),(2,10),(2,12),(2,16),(3,11),(3,13),(3,15),(3,16),(4,8),(4,10),(4,11),(4,15),(5,8),(5,9),(5,13),(5,16),(6,18),(6,19),(8,14),(8,17),(8,20),(9,17),(9,21),(10,20),(10,21),(11,14),(11,20),(12,21),(13,6),(13,14),(13,17),(14,19),(15,17),(15,20),(15,21),(16,6),(16,20),(16,21),(17,18),(17,19),(18,7),(19,7),(20,18),(20,19),(21,18)],22) => 1
[2,6,5,1,3,4] => ([(0,3),(0,4),(0,5),(0,6),(1,11),(1,16),(1,18),(2,12),(2,15),(3,9),(3,14),(4,8),(4,10),(4,14),(5,1),(5,8),(5,13),(5,14),(6,2),(6,9),(6,10),(6,13),(8,16),(8,18),(9,15),(9,17),(10,15),(10,17),(10,18),(11,19),(11,20),(12,19),(12,20),(13,11),(13,12),(13,17),(13,18),(14,16),(14,17),(15,19),(16,20),(17,19),(17,20),(18,19),(18,20),(19,7),(20,7)],21) => 1
[2,6,5,1,4,3] => ([(0,3),(0,4),(0,5),(0,6),(1,11),(1,18),(2,12),(2,17),(2,18),(3,7),(3,14),(4,1),(4,10),(4,13),(4,14),(5,2),(5,9),(5,13),(5,14),(6,7),(6,9),(6,10),(7,17),(9,15),(9,17),(10,15),(10,17),(10,18),(11,16),(11,19),(12,16),(12,19),(13,11),(13,12),(13,15),(13,18),(14,17),(14,18),(15,16),(15,19),(16,8),(17,19),(18,16),(18,19),(19,8)],20) => 1
[2,6,5,3,4,1] => ([(0,2),(0,3),(0,4),(0,5),(1,6),(1,16),(2,8),(2,10),(2,12),(3,8),(3,9),(3,11),(4,9),(4,10),(4,13),(5,1),(5,11),(5,12),(5,13),(6,17),(8,19),(9,14),(9,19),(10,15),(10,19),(11,14),(11,16),(11,19),(12,15),(12,16),(12,19),(13,6),(13,14),(13,15),(14,17),(14,18),(15,17),(15,18),(16,17),(16,18),(17,7),(18,7),(19,18)],20) => 1
[2,6,5,4,1,3] => ([(0,2),(0,3),(0,4),(0,6),(1,15),(1,17),(2,12),(2,13),(3,7),(3,12),(4,8),(4,12),(4,13),(5,1),(5,10),(5,11),(5,14),(6,5),(6,7),(6,8),(6,13),(7,10),(7,16),(8,11),(8,14),(8,16),(10,15),(10,17),(11,15),(11,17),(12,16),(13,14),(13,16),(14,15),(14,17),(15,9),(16,17),(17,9)],18) => 1
[2,6,5,4,3,1] => ([(0,2),(0,3),(0,5),(1,8),(1,12),(2,10),(3,6),(3,10),(4,1),(4,9),(4,11),(5,4),(5,6),(5,10),(6,9),(6,11),(8,7),(9,8),(9,12),(10,11),(11,12),(12,7)],13) => 1
[3,1,2,4,5,6] => ([(0,2),(0,3),(0,5),(1,8),(1,12),(2,10),(3,6),(3,10),(4,1),(4,9),(4,11),(5,4),(5,6),(5,10),(6,9),(6,11),(8,7),(9,8),(9,12),(10,11),(11,12),(12,7)],13) => 1
[3,1,2,4,6,5] => ([(0,2),(0,3),(0,4),(0,5),(1,13),(1,16),(2,6),(2,14),(3,10),(3,11),(3,14),(4,9),(4,11),(4,14),(5,6),(5,9),(5,10),(6,15),(7,13),(7,16),(9,12),(9,15),(10,1),(10,12),(10,15),(11,7),(11,12),(12,13),(12,16),(13,8),(14,7),(14,15),(15,16),(16,8)],17) => 1
[3,1,2,5,4,6] => ([(0,2),(0,3),(0,4),(0,5),(1,14),(1,16),(2,7),(2,8),(2,9),(3,7),(3,10),(3,12),(4,8),(4,11),(4,12),(5,9),(5,10),(5,11),(7,17),(8,15),(8,17),(9,1),(9,15),(9,17),(10,13),(10,17),(11,13),(11,15),(12,13),(12,15),(12,17),(13,14),(13,16),(14,6),(15,14),(15,16),(16,6),(17,16)],18) => 1
[3,1,2,5,6,4] => ([(0,3),(0,4),(0,5),(0,6),(1,16),(1,18),(2,16),(2,18),(3,10),(3,11),(3,13),(4,9),(4,12),(4,13),(5,8),(5,9),(5,11),(6,8),(6,10),(6,12),(8,17),(9,14),(9,17),(10,15),(10,17),(11,2),(11,14),(11,17),(12,1),(12,15),(12,17),(13,14),(13,15),(14,16),(14,18),(15,16),(15,18),(16,7),(17,18),(18,7)],19) => 1
[3,1,2,6,4,5] => ([(0,1),(0,2),(0,3),(0,4),(1,9),(1,10),(1,12),(2,8),(2,10),(2,11),(3,7),(3,8),(3,12),(4,7),(4,9),(4,11),(5,15),(5,16),(7,17),(8,13),(8,17),(9,14),(9,17),(10,13),(10,14),(11,5),(11,14),(11,17),(12,5),(12,13),(12,17),(13,15),(13,16),(14,15),(14,16),(15,6),(16,6),(17,16)],18) => 1
[3,1,2,6,5,4] => ([(0,3),(0,4),(0,6),(1,14),(2,14),(2,15),(3,8),(3,12),(4,9),(4,12),(5,2),(5,10),(5,11),(6,5),(6,8),(6,9),(8,11),(8,13),(9,10),(9,13),(10,15),(11,14),(11,15),(12,1),(12,13),(13,14),(13,15),(14,7),(15,7)],16) => 1
[3,1,4,2,5,6] => ([(0,1),(0,2),(0,3),(0,4),(0,6),(1,14),(1,18),(2,13),(2,14),(2,18),(3,12),(3,14),(3,18),(4,11),(4,14),(4,18),(5,8),(5,9),(5,10),(5,16),(6,5),(6,11),(6,12),(6,13),(6,18),(8,15),(8,19),(9,15),(9,19),(10,15),(10,19),(11,8),(11,16),(11,17),(12,9),(12,16),(12,17),(13,10),(13,16),(13,17),(14,17),(15,7),(16,15),(16,19),(17,19),(18,16),(18,17),(19,7)],20) => 1
[3,1,4,2,6,5] => ([(0,1),(0,2),(0,3),(0,4),(0,6),(1,10),(1,15),(1,16),(2,11),(2,15),(2,16),(3,13),(3,15),(3,16),(4,12),(4,15),(4,16),(5,8),(5,9),(5,14),(5,20),(6,5),(6,10),(6,11),(6,12),(6,13),(8,17),(8,19),(9,17),(9,19),(10,18),(10,20),(11,14),(11,18),(11,20),(12,8),(12,18),(12,20),(13,9),(13,18),(13,20),(14,17),(14,19),(15,14),(15,20),(16,14),(16,18),(17,7),(18,19),(19,7),(20,17),(20,19)],21) => 1
[3,1,4,5,2,6] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(1,12),(1,20),(1,21),(2,13),(2,14),(3,8),(3,13),(3,15),(4,9),(4,10),(4,13),(4,15),(5,7),(5,8),(5,9),(5,14),(6,1),(6,7),(6,10),(6,14),(6,15),(7,12),(7,16),(7,18),(7,20),(8,18),(8,21),(9,16),(9,18),(9,21),(10,16),(10,20),(10,21),(12,17),(12,19),(13,21),(14,20),(14,21),(15,18),(15,20),(15,21),(16,17),(16,19),(17,11),(18,17),(18,19),(19,11),(20,17),(20,19),(21,19)],22) => 1
[3,1,4,5,6,2] => ([(0,2),(0,3),(0,4),(0,6),(1,15),(1,17),(2,12),(2,13),(3,7),(3,12),(4,8),(4,12),(4,13),(5,1),(5,10),(5,11),(5,14),(6,5),(6,7),(6,8),(6,13),(7,10),(7,16),(8,11),(8,14),(8,16),(10,15),(10,17),(11,15),(11,17),(12,16),(13,14),(13,16),(14,15),(14,17),(15,9),(16,17),(17,9)],18) => 1
[3,1,5,2,4,6] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,9),(1,16),(1,20),(2,8),(2,16),(2,17),(3,9),(3,10),(3,17),(3,20),(4,12),(4,13),(4,16),(4,17),(4,20),(5,11),(5,13),(5,16),(5,17),(5,20),(6,8),(6,10),(6,11),(6,12),(6,20),(8,19),(8,23),(9,22),(10,15),(10,19),(10,22),(11,14),(11,15),(11,19),(11,23),(12,14),(12,15),(12,19),(12,23),(13,14),(13,22),(13,23),(14,18),(14,21),(15,18),(15,21),(16,22),(16,23),(17,19),(17,22),(17,23),(18,7),(19,18),(19,21),(20,15),(20,22),(20,23),(21,7),(22,21),(23,18),(23,21)],24) => 1
[3,1,5,4,6,2] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(1,21),(1,22),(2,8),(2,10),(2,17),(3,12),(3,13),(3,15),(3,17),(4,11),(4,14),(4,15),(4,17),(5,8),(5,9),(5,13),(5,14),(6,9),(6,10),(6,11),(6,12),(8,19),(8,23),(9,1),(9,19),(9,20),(9,23),(10,18),(10,19),(11,18),(11,20),(12,18),(12,20),(12,23),(13,16),(13,23),(14,16),(14,20),(14,23),(15,16),(15,19),(15,20),(16,22),(17,18),(17,19),(17,23),(18,21),(19,21),(19,22),(20,21),(20,22),(21,7),(22,7),(23,21),(23,22)],24) => 1
[3,1,5,6,2,4] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(1,17),(1,18),(1,21),(2,11),(2,13),(2,15),(3,12),(3,14),(3,15),(4,8),(4,10),(4,12),(4,15),(5,9),(5,10),(5,13),(5,15),(6,1),(6,8),(6,9),(6,11),(6,14),(8,17),(8,18),(8,19),(8,20),(9,17),(9,18),(9,19),(9,20),(10,20),(10,21),(11,17),(11,19),(12,18),(12,20),(13,17),(13,21),(14,18),(14,19),(14,21),(15,19),(15,20),(15,21),(16,7),(17,16),(17,22),(18,16),(18,22),(19,16),(19,22),(20,16),(20,22),(21,22),(22,7)],23) => 1
[3,1,5,6,4,2] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(1,21),(1,22),(2,11),(2,13),(2,18),(3,12),(3,14),(3,18),(4,8),(4,9),(4,13),(4,18),(5,8),(5,10),(5,14),(5,18),(6,9),(6,10),(6,11),(6,12),(8,17),(8,19),(9,15),(9,19),(9,20),(10,1),(10,16),(10,19),(10,20),(11,15),(11,20),(12,16),(12,20),(13,15),(13,19),(14,16),(14,17),(15,21),(16,21),(16,22),(17,22),(18,17),(18,19),(18,20),(19,21),(19,22),(20,21),(20,22),(21,7),(22,7)],23) => 1
[3,1,6,2,4,5] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(1,8),(1,15),(1,18),(1,20),(2,9),(2,14),(2,16),(3,11),(3,12),(3,16),(4,10),(4,11),(4,14),(5,12),(5,13),(5,14),(5,16),(6,1),(6,9),(6,10),(6,13),(6,16),(8,17),(8,21),(9,15),(9,20),(10,18),(10,19),(10,20),(11,19),(12,18),(12,19),(13,8),(13,15),(13,18),(13,20),(14,19),(14,20),(15,17),(15,21),(16,15),(16,18),(16,19),(17,7),(18,17),(18,21),(19,21),(20,17),(20,21),(21,7)],22) => 1
[3,1,6,2,5,4] => ([(0,1),(0,3),(0,4),(0,5),(0,6),(1,16),(1,18),(2,8),(2,17),(2,19),(2,22),(3,11),(3,12),(3,18),(4,13),(4,14),(4,16),(4,18),(5,10),(5,11),(5,13),(5,16),(6,2),(6,10),(6,12),(6,14),(6,18),(7,20),(8,20),(8,21),(10,15),(10,19),(10,22),(11,15),(11,22),(12,15),(12,17),(12,19),(13,7),(13,19),(13,22),(14,8),(14,17),(14,19),(14,22),(15,21),(16,7),(16,22),(17,20),(17,21),(18,17),(18,22),(19,20),(19,21),(20,9),(21,9),(22,20),(22,21)],23) => 1
[3,1,6,5,2,4] => ([(0,1),(0,3),(0,4),(0,5),(0,6),(1,16),(1,18),(2,7),(2,17),(2,19),(3,11),(3,12),(3,16),(3,18),(4,10),(4,13),(4,18),(5,9),(5,10),(5,12),(5,18),(6,2),(6,9),(6,11),(6,13),(6,16),(7,20),(9,15),(9,17),(9,19),(9,22),(10,14),(10,19),(11,15),(11,17),(11,19),(11,22),(12,14),(12,15),(12,22),(13,7),(13,19),(13,22),(14,21),(15,20),(15,21),(16,17),(16,22),(17,20),(17,21),(18,14),(18,22),(19,20),(19,21),(20,8),(21,8),(22,20),(22,21)],23) => 1
[3,1,6,5,4,2] => ([(0,2),(0,3),(0,4),(0,6),(1,15),(1,17),(2,7),(2,14),(3,9),(3,14),(4,9),(4,10),(4,14),(5,1),(5,11),(5,12),(5,16),(6,5),(6,7),(6,10),(6,14),(7,11),(7,16),(9,13),(10,12),(10,13),(10,16),(11,15),(11,17),(12,15),(12,17),(13,17),(14,13),(14,16),(15,8),(16,15),(16,17),(17,8)],18) => 1
[3,2,1,4,5,6] => ([(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) => 1
[3,2,1,4,6,5] => ([(0,3),(0,4),(0,5),(1,14),(2,6),(2,7),(3,9),(3,10),(4,9),(4,11),(5,2),(5,10),(5,11),(6,13),(7,13),(7,14),(9,1),(9,12),(10,6),(10,12),(11,7),(11,12),(12,13),(12,14),(13,8),(14,8)],15) => 1
[3,2,1,5,4,6] => ([(0,3),(0,4),(0,5),(1,13),(2,6),(2,7),(2,14),(3,9),(3,10),(4,9),(4,11),(5,2),(5,10),(5,11),(6,12),(7,12),(7,13),(9,1),(9,14),(10,6),(10,14),(11,7),(11,14),(12,8),(13,8),(14,12),(14,13)],15) => 1
[3,2,1,5,6,4] => ([(0,3),(0,4),(0,6),(1,14),(2,14),(2,15),(3,8),(3,12),(4,9),(4,12),(5,2),(5,10),(5,11),(6,5),(6,8),(6,9),(8,11),(8,13),(9,10),(9,13),(10,15),(11,14),(11,15),(12,1),(12,13),(13,14),(13,15),(14,7),(15,7)],16) => 1
[3,2,1,6,4,5] => ([(0,3),(0,4),(0,6),(1,14),(2,14),(2,15),(3,8),(3,12),(4,9),(4,12),(5,2),(5,10),(5,11),(6,5),(6,8),(6,9),(8,11),(8,13),(9,10),(9,13),(10,15),(11,14),(11,15),(12,1),(12,13),(13,14),(13,15),(14,7),(15,7)],16) => 1
[3,2,1,6,5,4] => ([(0,1),(0,2),(1,4),(1,10),(2,3),(2,10),(3,5),(3,8),(4,5),(4,9),(5,11),(7,6),(8,7),(8,11),(9,7),(9,11),(10,8),(10,9),(11,6)],12) => 1
[3,2,4,1,5,6] => ([(0,1),(0,2),(0,4),(0,5),(1,9),(1,16),(2,10),(2,16),(3,6),(3,7),(3,15),(4,9),(4,11),(4,16),(5,3),(5,10),(5,11),(5,16),(6,13),(7,13),(7,14),(9,12),(10,6),(10,15),(11,7),(11,12),(11,15),(12,14),(13,8),(14,8),(15,13),(15,14),(16,12),(16,15)],17) => 1
[3,2,4,1,6,5] => ([(0,1),(0,3),(0,4),(0,5),(1,11),(1,15),(2,6),(2,8),(2,18),(3,12),(3,13),(3,15),(4,10),(4,13),(4,15),(5,2),(5,10),(5,11),(5,12),(6,16),(6,17),(7,16),(7,17),(8,16),(10,14),(10,18),(11,8),(11,18),(12,6),(12,14),(12,18),(13,7),(13,14),(14,17),(15,7),(15,18),(16,9),(17,9),(18,16),(18,17)],19) => 1
[3,2,4,5,1,6] => ([(0,2),(0,3),(0,4),(0,5),(1,10),(1,17),(2,7),(2,13),(3,9),(3,11),(3,13),(4,1),(4,8),(4,11),(4,13),(5,7),(5,8),(5,9),(7,16),(8,12),(8,16),(8,17),(9,12),(9,16),(10,14),(11,10),(11,12),(11,17),(12,14),(12,15),(13,16),(13,17),(14,6),(15,6),(16,15),(17,14),(17,15)],18) => 1
[3,2,4,5,6,1] => ([(0,3),(0,4),(0,5),(1,14),(2,1),(2,6),(2,7),(3,9),(3,11),(4,9),(4,10),(5,2),(5,10),(5,11),(6,13),(6,14),(7,13),(7,14),(9,12),(10,6),(10,12),(11,7),(11,12),(12,13),(13,8),(14,8)],15) => 1
[3,2,4,6,5,1] => ([(0,1),(0,2),(0,3),(0,4),(1,7),(1,8),(1,9),(2,9),(2,10),(2,12),(3,8),(3,10),(3,11),(4,7),(4,11),(4,12),(5,17),(7,14),(7,15),(8,13),(8,14),(9,13),(9,15),(10,13),(10,16),(11,5),(11,14),(11,16),(12,5),(12,15),(12,16),(13,18),(14,17),(14,18),(15,17),(15,18),(16,17),(16,18),(17,6),(18,6)],19) => 1
[3,2,5,1,4,6] => ([(0,1),(0,3),(0,4),(0,5),(0,6),(1,17),(1,19),(2,8),(2,18),(2,22),(3,10),(3,11),(3,19),(4,12),(4,14),(4,17),(4,19),(5,10),(5,13),(5,14),(5,17),(6,2),(6,11),(6,12),(6,13),(6,19),(7,20),(8,20),(8,21),(10,15),(10,22),(11,15),(11,18),(11,22),(12,16),(12,18),(12,22),(13,8),(13,15),(13,16),(13,22),(14,7),(14,16),(14,22),(15,20),(15,21),(16,20),(16,21),(17,7),(17,22),(18,21),(19,18),(19,22),(20,9),(21,9),(22,20),(22,21)],23) => 1
[3,2,5,1,6,4] => ([(0,1),(0,3),(0,4),(0,5),(0,6),(1,16),(1,18),(2,8),(2,17),(2,19),(2,22),(3,11),(3,12),(3,18),(4,13),(4,14),(4,16),(4,18),(5,10),(5,11),(5,13),(5,16),(6,2),(6,10),(6,12),(6,14),(6,18),(7,20),(8,20),(8,21),(10,15),(10,19),(10,22),(11,15),(11,22),(12,15),(12,17),(12,19),(13,7),(13,19),(13,22),(14,8),(14,17),(14,19),(14,22),(15,21),(16,7),(16,22),(17,20),(17,21),(18,17),(18,22),(19,20),(19,21),(20,9),(21,9),(22,20),(22,21)],23) => 1
[3,2,5,4,1,6] => ([(0,1),(0,2),(0,3),(0,4),(1,10),(1,11),(1,12),(2,8),(2,9),(2,12),(3,6),(3,7),(3,9),(3,11),(4,6),(4,7),(4,8),(4,10),(6,14),(6,19),(7,13),(7,15),(7,19),(8,13),(8,19),(9,13),(9,16),(9,19),(10,14),(10,15),(10,19),(11,14),(11,15),(11,16),(12,16),(12,19),(13,17),(14,18),(15,17),(15,18),(16,17),(16,18),(17,5),(18,5),(19,17),(19,18)],20) => 1
[3,2,5,4,6,1] => ([(0,1),(0,2),(0,3),(0,4),(1,9),(1,10),(1,15),(2,8),(2,11),(2,15),(3,7),(3,8),(3,9),(4,7),(4,10),(4,11),(4,15),(5,17),(7,12),(7,13),(7,16),(8,13),(8,16),(9,12),(9,16),(10,12),(10,14),(11,5),(11,13),(11,14),(12,18),(13,17),(13,18),(14,17),(14,18),(15,5),(15,14),(15,16),(16,17),(16,18),(17,6),(18,6)],19) => 1
[3,2,5,6,1,4] => ([(0,3),(0,4),(0,5),(0,6),(1,9),(1,18),(2,8),(2,19),(3,10),(3,11),(3,13),(4,11),(4,12),(4,14),(5,2),(5,12),(5,13),(5,15),(6,1),(6,10),(6,14),(6,15),(8,20),(8,21),(9,20),(10,17),(10,18),(11,16),(11,18),(12,16),(12,19),(13,16),(13,17),(13,19),(14,9),(14,18),(14,19),(15,8),(15,17),(15,18),(15,19),(16,21),(17,20),(17,21),(18,20),(18,21),(19,20),(19,21),(20,7),(21,7)],22) => 1
[3,2,5,6,4,1] => ([(0,2),(0,3),(0,4),(0,5),(1,14),(1,19),(2,9),(2,11),(2,12),(3,8),(3,9),(3,10),(4,7),(4,8),(4,11),(5,1),(5,7),(5,10),(5,12),(7,13),(7,19),(8,13),(8,16),(9,15),(9,16),(10,13),(10,15),(10,19),(11,14),(11,16),(11,19),(12,14),(12,15),(12,19),(13,17),(14,18),(15,17),(15,18),(16,17),(16,18),(17,6),(18,6),(19,17),(19,18)],20) => 1
[3,2,6,1,4,5] => ([(0,2),(0,4),(0,5),(0,6),(1,14),(1,16),(2,12),(2,17),(3,7),(3,8),(3,18),(4,10),(4,11),(4,17),(5,1),(5,11),(5,13),(5,17),(6,3),(6,10),(6,12),(6,13),(7,19),(7,20),(8,19),(10,15),(10,18),(11,14),(11,15),(11,16),(12,8),(12,18),(13,7),(13,15),(13,16),(13,18),(14,20),(15,19),(15,20),(16,19),(16,20),(17,14),(17,18),(18,19),(18,20),(19,9),(20,9)],21) => 1
[3,2,6,1,5,4] => ([(0,3),(0,4),(0,5),(0,6),(1,12),(1,15),(1,17),(2,11),(2,15),(2,16),(3,8),(3,13),(4,9),(4,13),(5,2),(5,8),(5,10),(5,13),(6,1),(6,9),(6,10),(6,13),(8,15),(8,16),(9,15),(9,17),(10,11),(10,12),(10,16),(10,17),(11,14),(11,18),(12,14),(12,18),(13,16),(13,17),(14,7),(15,18),(16,14),(16,18),(17,14),(17,18),(18,7)],19) => 1
[3,2,6,4,5,1] => ([(0,2),(0,3),(0,4),(0,5),(1,6),(1,15),(1,18),(2,10),(2,11),(2,12),(3,8),(3,9),(3,12),(4,9),(4,10),(4,13),(5,1),(5,8),(5,11),(5,13),(6,19),(6,20),(8,14),(8,18),(9,14),(9,16),(10,16),(10,17),(11,15),(11,17),(11,18),(12,15),(12,16),(12,18),(13,6),(13,14),(13,17),(14,19),(15,20),(16,19),(16,20),(17,19),(17,20),(18,19),(18,20),(19,7),(20,7)],21) => 1
[3,2,6,5,1,4] => ([(0,3),(0,4),(0,5),(0,6),(1,12),(1,19),(2,16),(2,19),(3,8),(3,13),(4,7),(4,9),(4,13),(5,2),(5,9),(5,10),(5,13),(6,1),(6,7),(6,8),(6,10),(7,14),(7,17),(7,19),(8,17),(8,19),(9,14),(9,16),(9,19),(10,12),(10,14),(10,16),(10,17),(12,15),(12,18),(13,16),(13,17),(14,15),(14,18),(15,11),(16,15),(16,18),(17,15),(17,18),(18,11),(19,18)],20) => 1
[3,2,6,5,4,1] => ([(0,3),(0,4),(0,5),(1,14),(2,6),(2,8),(2,14),(3,9),(3,10),(4,2),(4,10),(4,11),(5,1),(5,9),(5,11),(6,13),(6,15),(8,13),(8,15),(9,12),(9,14),(10,8),(10,12),(11,6),(11,12),(11,14),(12,13),(12,15),(13,7),(14,15),(15,7)],16) => 1
[3,4,1,2,5,6] => ([(0,2),(0,3),(0,4),(1,8),(1,9),(2,1),(2,10),(2,11),(3,6),(3,7),(3,11),(4,6),(4,7),(4,10),(6,14),(7,12),(7,14),(8,13),(8,15),(9,13),(9,15),(10,8),(10,12),(10,14),(11,9),(11,12),(11,14),(12,13),(12,15),(13,5),(14,15),(15,5)],16) => 1
[3,4,1,2,6,5] => ([(0,2),(0,3),(0,4),(1,7),(1,8),(2,1),(2,11),(2,12),(3,9),(3,10),(3,12),(4,9),(4,10),(4,11),(5,15),(5,16),(7,15),(7,16),(8,15),(8,16),(9,5),(9,13),(10,5),(10,14),(11,7),(11,13),(11,14),(12,8),(12,13),(12,14),(13,16),(14,15),(14,16),(15,6),(16,6)],17) => 1
[3,4,1,5,2,6] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(1,8),(1,18),(1,21),(2,11),(2,12),(2,19),(3,9),(3,13),(3,19),(4,10),(4,13),(4,19),(5,10),(5,12),(5,14),(5,19),(6,1),(6,9),(6,11),(6,14),(6,19),(8,17),(8,20),(9,18),(9,21),(10,16),(10,21),(11,15),(11,18),(11,21),(12,15),(12,16),(13,21),(14,8),(14,15),(14,16),(14,18),(15,17),(15,20),(16,17),(16,20),(17,7),(18,17),(18,20),(19,16),(19,18),(19,21),(20,7),(21,20)],22) => 1
[3,4,1,5,6,2] => ([(0,3),(0,4),(0,5),(0,6),(1,11),(1,18),(2,12),(2,17),(2,18),(3,7),(3,14),(4,1),(4,10),(4,13),(4,14),(5,2),(5,9),(5,13),(5,14),(6,7),(6,9),(6,10),(7,17),(9,15),(9,17),(10,15),(10,17),(10,18),(11,16),(11,19),(12,16),(12,19),(13,11),(13,12),(13,15),(13,18),(14,17),(14,18),(15,16),(15,19),(16,8),(17,19),(18,16),(18,19),(19,8)],20) => 1
[3,4,1,6,2,5] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(1,17),(1,18),(1,21),(2,11),(2,13),(2,15),(3,12),(3,14),(3,15),(4,8),(4,10),(4,12),(4,15),(5,9),(5,10),(5,13),(5,15),(6,1),(6,8),(6,9),(6,11),(6,14),(8,17),(8,18),(8,19),(8,20),(9,17),(9,18),(9,19),(9,20),(10,20),(10,21),(11,17),(11,19),(12,18),(12,20),(13,17),(13,21),(14,18),(14,19),(14,21),(15,19),(15,20),(15,21),(16,7),(17,16),(17,22),(18,16),(18,22),(19,16),(19,22),(20,16),(20,22),(21,22),(22,7)],23) => 1
[3,4,1,6,5,2] => ([(0,3),(0,4),(0,5),(0,6),(1,9),(1,18),(2,8),(2,19),(3,10),(3,11),(3,13),(4,11),(4,12),(4,14),(5,2),(5,12),(5,13),(5,15),(6,1),(6,10),(6,14),(6,15),(8,20),(8,21),(9,20),(10,17),(10,18),(11,16),(11,18),(12,16),(12,19),(13,16),(13,17),(13,19),(14,9),(14,18),(14,19),(15,8),(15,17),(15,18),(15,19),(16,21),(17,20),(17,21),(18,20),(18,21),(19,20),(19,21),(20,7),(21,7)],22) => 1
[3,4,2,1,5,6] => ([(0,3),(0,4),(0,5),(1,13),(2,6),(2,8),(3,9),(3,10),(4,2),(4,10),(4,11),(5,1),(5,9),(5,11),(6,14),(6,15),(8,14),(9,12),(9,13),(10,8),(10,12),(11,6),(11,12),(11,13),(12,14),(12,15),(13,15),(14,7),(15,7)],16) => 1
[3,4,2,1,6,5] => ([(0,3),(0,4),(0,5),(1,6),(1,9),(2,7),(2,8),(3,1),(3,11),(3,13),(4,2),(4,12),(4,13),(5,11),(5,12),(6,15),(7,16),(8,15),(8,16),(9,15),(9,16),(11,9),(11,14),(12,7),(12,14),(13,6),(13,8),(13,14),(14,15),(14,16),(15,10),(16,10)],17) => 1
[3,4,2,5,1,6] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,10),(1,11),(1,19),(2,9),(2,12),(2,19),(3,8),(3,12),(3,19),(4,6),(4,8),(4,10),(4,19),(5,6),(5,9),(5,11),(5,19),(6,13),(6,17),(6,18),(8,16),(8,17),(9,16),(9,18),(10,13),(10,17),(11,13),(11,18),(12,16),(13,15),(14,7),(15,7),(16,14),(17,14),(17,15),(18,14),(18,15),(19,16),(19,17),(19,18)],20) => 1
[3,4,2,5,6,1] => ([(0,2),(0,3),(0,4),(0,5),(1,10),(1,17),(2,7),(2,13),(3,9),(3,11),(3,13),(4,1),(4,8),(4,11),(4,13),(5,7),(5,8),(5,9),(7,16),(8,12),(8,16),(8,17),(9,12),(9,16),(10,14),(11,10),(11,12),(11,17),(12,14),(12,15),(13,16),(13,17),(14,6),(15,6),(16,15),(17,14),(17,15)],18) => 1
[3,4,2,6,1,5] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(1,21),(1,22),(2,11),(2,13),(2,18),(3,12),(3,14),(3,18),(4,8),(4,9),(4,13),(4,18),(5,8),(5,10),(5,14),(5,18),(6,9),(6,10),(6,11),(6,12),(8,17),(8,19),(9,15),(9,19),(9,20),(10,1),(10,16),(10,19),(10,20),(11,15),(11,20),(12,16),(12,20),(13,15),(13,19),(14,16),(14,17),(15,21),(16,21),(16,22),(17,22),(18,17),(18,19),(18,20),(19,21),(19,22),(20,21),(20,22),(21,7),(22,7)],23) => 1
[3,4,2,6,5,1] => ([(0,2),(0,3),(0,4),(0,5),(1,14),(1,19),(2,9),(2,11),(2,12),(3,8),(3,9),(3,10),(4,7),(4,8),(4,11),(5,1),(5,7),(5,10),(5,12),(7,13),(7,19),(8,13),(8,16),(9,15),(9,16),(10,13),(10,15),(10,19),(11,14),(11,16),(11,19),(12,14),(12,15),(12,19),(13,17),(14,18),(15,17),(15,18),(16,17),(16,18),(17,6),(18,6),(19,17),(19,18)],20) => 1
[3,4,5,1,2,6] => ([(0,3),(0,4),(0,5),(1,14),(2,6),(2,8),(2,14),(3,9),(3,10),(4,2),(4,10),(4,11),(5,1),(5,9),(5,11),(6,13),(6,15),(8,13),(8,15),(9,12),(9,14),(10,8),(10,12),(11,6),(11,12),(11,14),(12,13),(12,15),(13,7),(14,15),(15,7)],16) => 1
[3,4,5,1,6,2] => ([(0,2),(0,3),(0,4),(0,6),(1,15),(1,17),(2,7),(2,14),(3,9),(3,14),(4,9),(4,10),(4,14),(5,1),(5,11),(5,12),(5,16),(6,5),(6,7),(6,10),(6,14),(7,11),(7,16),(9,13),(10,12),(10,13),(10,16),(11,15),(11,17),(12,15),(12,17),(13,17),(14,13),(14,16),(15,8),(16,15),(16,17),(17,8)],18) => 1
[3,4,5,2,1,6] => ([(0,3),(0,4),(0,5),(1,13),(2,6),(2,8),(3,9),(3,10),(4,2),(4,10),(4,11),(5,1),(5,9),(5,11),(6,14),(6,15),(8,14),(9,12),(9,13),(10,8),(10,12),(11,6),(11,12),(11,13),(12,14),(12,15),(13,15),(14,7),(15,7)],16) => 1
[3,4,5,2,6,1] => ([(0,1),(0,2),(0,4),(0,5),(1,9),(1,16),(2,10),(2,16),(3,6),(3,7),(3,15),(4,9),(4,11),(4,16),(5,3),(5,10),(5,11),(5,16),(6,13),(7,13),(7,14),(9,12),(10,6),(10,15),(11,7),(11,12),(11,15),(12,14),(13,8),(14,8),(15,13),(15,14),(16,12),(16,15)],17) => 1
[3,4,5,6,1,2] => ([(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) => 1
[3,4,5,6,2,1] => ([(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) => 1
[3,4,6,1,2,5] => ([(0,3),(0,4),(0,5),(0,6),(1,12),(1,19),(2,16),(2,19),(3,8),(3,13),(4,7),(4,9),(4,13),(5,2),(5,9),(5,10),(5,13),(6,1),(6,7),(6,8),(6,10),(7,14),(7,17),(7,19),(8,17),(8,19),(9,14),(9,16),(9,19),(10,12),(10,14),(10,16),(10,17),(12,15),(12,18),(13,16),(13,17),(14,15),(14,18),(15,11),(16,15),(16,18),(17,15),(17,18),(18,11),(19,18)],20) => 1
[3,4,6,1,5,2] => ([(0,1),(0,3),(0,4),(0,5),(0,6),(1,16),(1,18),(2,7),(2,17),(2,19),(3,11),(3,12),(3,16),(3,18),(4,10),(4,13),(4,18),(5,9),(5,10),(5,12),(5,18),(6,2),(6,9),(6,11),(6,13),(6,16),(7,20),(9,15),(9,17),(9,19),(9,22),(10,14),(10,19),(11,15),(11,17),(11,19),(11,22),(12,14),(12,15),(12,22),(13,7),(13,19),(13,22),(14,21),(15,20),(15,21),(16,17),(16,22),(17,20),(17,21),(18,14),(18,22),(19,20),(19,21),(20,8),(21,8),(22,20),(22,21)],23) => 1
[3,4,6,2,1,5] => ([(0,3),(0,4),(0,5),(0,6),(1,11),(1,16),(1,18),(2,12),(2,15),(3,9),(3,14),(4,8),(4,10),(4,14),(5,1),(5,8),(5,13),(5,14),(6,2),(6,9),(6,10),(6,13),(8,16),(8,18),(9,15),(9,17),(10,15),(10,17),(10,18),(11,19),(11,20),(12,19),(12,20),(13,11),(13,12),(13,17),(13,18),(14,16),(14,17),(15,19),(16,20),(17,19),(17,20),(18,19),(18,20),(19,7),(20,7)],21) => 1
[3,4,6,2,5,1] => ([(0,1),(0,3),(0,4),(0,5),(0,6),(1,17),(1,19),(2,7),(2,18),(2,22),(3,9),(3,11),(3,19),(4,10),(4,12),(4,17),(4,19),(5,11),(5,12),(5,13),(5,19),(6,2),(6,9),(6,10),(6,13),(6,17),(7,20),(7,21),(9,16),(9,18),(9,22),(10,15),(10,18),(10,22),(11,14),(11,16),(12,14),(12,15),(12,22),(13,7),(13,15),(13,16),(13,22),(14,21),(15,20),(15,21),(16,20),(16,21),(17,18),(17,22),(18,20),(19,14),(19,22),(20,8),(21,8),(22,20),(22,21)],23) => 1
[3,4,6,5,1,2] => ([(0,3),(0,4),(0,5),(1,6),(1,9),(2,7),(2,8),(3,1),(3,11),(3,13),(4,2),(4,12),(4,13),(5,11),(5,12),(6,15),(7,16),(8,15),(8,16),(9,15),(9,16),(11,9),(11,14),(12,7),(12,14),(13,6),(13,8),(13,14),(14,15),(14,16),(15,10),(16,10)],17) => 1
[3,4,6,5,2,1] => ([(0,3),(0,4),(0,5),(1,13),(2,6),(2,8),(3,9),(3,10),(4,2),(4,10),(4,11),(5,1),(5,9),(5,11),(6,14),(6,15),(8,14),(9,12),(9,13),(10,8),(10,12),(11,6),(11,12),(11,13),(12,14),(12,15),(13,15),(14,7),(15,7)],16) => 1
[3,5,1,2,4,6] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(1,8),(1,18),(1,21),(2,11),(2,12),(2,19),(3,9),(3,13),(3,19),(4,10),(4,13),(4,19),(5,10),(5,12),(5,14),(5,19),(6,1),(6,9),(6,11),(6,14),(6,19),(8,17),(8,20),(9,18),(9,21),(10,16),(10,21),(11,15),(11,18),(11,21),(12,15),(12,16),(13,21),(14,8),(14,15),(14,16),(14,18),(15,17),(15,20),(16,17),(16,20),(17,7),(18,17),(18,20),(19,16),(19,18),(19,21),(20,7),(21,20)],22) => 1
[3,5,1,2,6,4] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(1,17),(1,18),(1,21),(2,11),(2,13),(2,15),(3,12),(3,14),(3,15),(4,8),(4,10),(4,12),(4,15),(5,9),(5,10),(5,13),(5,15),(6,1),(6,8),(6,9),(6,11),(6,14),(8,17),(8,18),(8,19),(8,20),(9,17),(9,18),(9,19),(9,20),(10,20),(10,21),(11,17),(11,19),(12,18),(12,20),(13,17),(13,21),(14,18),(14,19),(14,21),(15,19),(15,20),(15,21),(16,7),(17,16),(17,22),(18,16),(18,22),(19,16),(19,22),(20,16),(20,22),(21,22),(22,7)],23) => 1
[3,5,2,1,4,6] => ([(0,1),(0,3),(0,4),(0,5),(0,6),(1,17),(1,19),(2,7),(2,18),(2,22),(3,9),(3,11),(3,19),(4,10),(4,12),(4,17),(4,19),(5,11),(5,12),(5,13),(5,19),(6,2),(6,9),(6,10),(6,13),(6,17),(7,20),(7,21),(9,16),(9,18),(9,22),(10,15),(10,18),(10,22),(11,14),(11,16),(12,14),(12,15),(12,22),(13,7),(13,15),(13,16),(13,22),(14,21),(15,20),(15,21),(16,20),(16,21),(17,18),(17,22),(18,20),(19,14),(19,22),(20,8),(21,8),(22,20),(22,21)],23) => 1
[3,5,2,1,6,4] => ([(0,1),(0,3),(0,4),(0,5),(0,6),(1,16),(1,18),(2,7),(2,17),(2,19),(3,11),(3,12),(3,16),(3,18),(4,10),(4,13),(4,18),(5,9),(5,10),(5,12),(5,18),(6,2),(6,9),(6,11),(6,13),(6,16),(7,20),(9,15),(9,17),(9,19),(9,22),(10,14),(10,19),(11,15),(11,17),(11,19),(11,22),(12,14),(12,15),(12,22),(13,7),(13,19),(13,22),(14,21),(15,20),(15,21),(16,17),(16,22),(17,20),(17,21),(18,14),(18,22),(19,20),(19,21),(20,8),(21,8),(22,20),(22,21)],23) => 1
[3,5,4,1,2,6] => ([(0,2),(0,3),(0,4),(0,5),(1,6),(1,15),(1,18),(2,10),(2,11),(2,12),(3,8),(3,9),(3,12),(4,9),(4,10),(4,13),(5,1),(5,8),(5,11),(5,13),(6,19),(6,20),(8,14),(8,18),(9,14),(9,16),(10,16),(10,17),(11,15),(11,17),(11,18),(12,15),(12,16),(12,18),(13,6),(13,14),(13,17),(14,19),(15,20),(16,19),(16,20),(17,19),(17,20),(18,19),(18,20),(19,7),(20,7)],21) => 1
[3,5,4,2,1,6] => ([(0,1),(0,3),(0,4),(0,5),(1,6),(1,15),(2,7),(2,8),(2,13),(3,10),(3,12),(3,15),(4,2),(4,11),(4,12),(4,15),(5,6),(5,10),(5,11),(6,16),(7,17),(8,17),(8,18),(10,14),(10,16),(11,8),(11,14),(11,16),(12,7),(12,13),(12,14),(13,17),(13,18),(14,17),(14,18),(15,13),(15,16),(16,18),(17,9),(18,9)],19) => 1
[3,5,4,2,6,1] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,9),(1,12),(1,15),(2,10),(2,12),(2,16),(3,11),(3,13),(3,15),(3,16),(4,8),(4,10),(4,11),(4,15),(5,8),(5,9),(5,13),(5,16),(6,18),(6,19),(8,14),(8,17),(8,20),(9,17),(9,21),(10,20),(10,21),(11,14),(11,20),(12,21),(13,6),(13,14),(13,17),(14,19),(15,17),(15,20),(15,21),(16,6),(16,20),(16,21),(17,18),(17,19),(18,7),(19,7),(20,18),(20,19),(21,18)],22) => 1
[3,5,4,6,1,2] => ([(0,1),(0,2),(0,3),(0,5),(1,11),(1,16),(2,13),(2,14),(2,16),(3,12),(3,14),(3,16),(4,7),(4,8),(4,9),(5,4),(5,11),(5,12),(5,13),(6,18),(6,19),(7,18),(8,18),(8,19),(9,18),(9,19),(11,7),(11,17),(12,8),(12,15),(12,17),(13,9),(13,15),(13,17),(14,6),(14,15),(15,19),(16,6),(16,17),(17,18),(17,19),(18,10),(19,10)],20) => 1
[3,5,4,6,2,1] => ([(0,1),(0,2),(0,3),(0,5),(1,11),(1,14),(2,10),(2,13),(2,14),(3,10),(3,12),(3,14),(4,7),(4,8),(4,9),(5,4),(5,11),(5,12),(5,13),(7,17),(8,17),(8,18),(9,17),(9,18),(10,15),(11,7),(11,16),(12,8),(12,15),(12,16),(13,9),(13,15),(13,16),(14,15),(14,16),(15,18),(16,17),(16,18),(17,6),(18,6)],19) => 1
[3,5,6,1,2,4] => ([(0,3),(0,4),(0,5),(0,6),(1,12),(1,15),(1,17),(2,11),(2,15),(2,16),(3,8),(3,13),(4,9),(4,13),(5,2),(5,8),(5,10),(5,13),(6,1),(6,9),(6,10),(6,13),(8,15),(8,16),(9,15),(9,17),(10,11),(10,12),(10,16),(10,17),(11,14),(11,18),(12,14),(12,18),(13,16),(13,17),(14,7),(15,18),(16,14),(16,18),(17,14),(17,18),(18,7)],19) => 1
[3,5,6,1,4,2] => ([(0,1),(0,3),(0,4),(0,5),(0,6),(1,16),(1,18),(2,8),(2,17),(2,19),(2,22),(3,11),(3,12),(3,18),(4,13),(4,14),(4,16),(4,18),(5,10),(5,11),(5,13),(5,16),(6,2),(6,10),(6,12),(6,14),(6,18),(7,20),(8,20),(8,21),(10,15),(10,19),(10,22),(11,15),(11,22),(12,15),(12,17),(12,19),(13,7),(13,19),(13,22),(14,8),(14,17),(14,19),(14,22),(15,21),(16,7),(16,22),(17,20),(17,21),(18,17),(18,22),(19,20),(19,21),(20,9),(21,9),(22,20),(22,21)],23) => 1
[3,5,6,2,1,4] => ([(0,2),(0,4),(0,5),(0,6),(1,14),(1,16),(2,12),(2,17),(3,7),(3,8),(3,18),(4,10),(4,11),(4,17),(5,1),(5,11),(5,13),(5,17),(6,3),(6,10),(6,12),(6,13),(7,19),(7,20),(8,19),(10,15),(10,18),(11,14),(11,15),(11,16),(12,8),(12,18),(13,7),(13,15),(13,16),(13,18),(14,20),(15,19),(15,20),(16,19),(16,20),(17,14),(17,18),(18,19),(18,20),(19,9),(20,9)],21) => 1
[3,5,6,2,4,1] => ([(0,1),(0,3),(0,4),(0,5),(0,6),(1,17),(1,19),(2,8),(2,18),(2,22),(3,10),(3,11),(3,19),(4,12),(4,14),(4,17),(4,19),(5,10),(5,13),(5,14),(5,17),(6,2),(6,11),(6,12),(6,13),(6,19),(7,20),(8,20),(8,21),(10,15),(10,22),(11,15),(11,18),(11,22),(12,16),(12,18),(12,22),(13,8),(13,15),(13,16),(13,22),(14,7),(14,16),(14,22),(15,20),(15,21),(16,20),(16,21),(17,7),(17,22),(18,21),(19,18),(19,22),(20,9),(21,9),(22,20),(22,21)],23) => 1
[3,5,6,4,1,2] => ([(0,1),(0,3),(0,4),(0,5),(1,11),(1,15),(2,6),(2,8),(2,18),(3,12),(3,13),(3,15),(4,10),(4,13),(4,15),(5,2),(5,10),(5,11),(5,12),(6,16),(6,17),(7,16),(7,17),(8,16),(10,14),(10,18),(11,8),(11,18),(12,6),(12,14),(12,18),(13,7),(13,14),(14,17),(15,7),(15,18),(16,9),(17,9),(18,16),(18,17)],19) => 1
[3,5,6,4,2,1] => ([(0,1),(0,2),(0,4),(0,5),(1,9),(1,16),(2,10),(2,16),(3,6),(3,7),(3,15),(4,9),(4,11),(4,16),(5,3),(5,10),(5,11),(5,16),(6,13),(7,13),(7,14),(9,12),(10,6),(10,15),(11,7),(11,12),(11,15),(12,14),(13,8),(14,8),(15,13),(15,14),(16,12),(16,15)],17) => 1
[3,6,1,2,4,5] => ([(0,3),(0,4),(0,5),(0,6),(1,11),(1,18),(2,12),(2,17),(2,18),(3,7),(3,14),(4,1),(4,10),(4,13),(4,14),(5,2),(5,9),(5,13),(5,14),(6,7),(6,9),(6,10),(7,17),(9,15),(9,17),(10,15),(10,17),(10,18),(11,16),(11,19),(12,16),(12,19),(13,11),(13,12),(13,15),(13,18),(14,17),(14,18),(15,16),(15,19),(16,8),(17,19),(18,16),(18,19),(19,8)],20) => 1
[3,6,1,2,5,4] => ([(0,3),(0,4),(0,5),(0,6),(1,9),(1,18),(2,8),(2,19),(3,10),(3,11),(3,13),(4,11),(4,12),(4,14),(5,2),(5,12),(5,13),(5,15),(6,1),(6,10),(6,14),(6,15),(8,20),(8,21),(9,20),(10,17),(10,18),(11,16),(11,18),(12,16),(12,19),(13,16),(13,17),(13,19),(14,9),(14,18),(14,19),(15,8),(15,17),(15,18),(15,19),(16,21),(17,20),(17,21),(18,20),(18,21),(19,20),(19,21),(20,7),(21,7)],22) => 1
[3,6,1,5,4,2] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(1,18),(1,19),(2,7),(2,13),(2,15),(3,7),(3,12),(3,15),(4,8),(4,9),(4,12),(4,15),(5,8),(5,10),(5,13),(5,15),(6,1),(6,9),(6,10),(6,12),(6,13),(7,17),(8,14),(8,21),(9,14),(9,18),(9,19),(9,21),(10,14),(10,18),(10,19),(10,21),(12,17),(12,18),(12,21),(13,17),(13,19),(13,21),(14,16),(14,20),(15,17),(15,21),(16,11),(17,20),(18,16),(18,20),(19,16),(19,20),(20,11),(21,16),(21,20)],22) => 1
[3,6,2,1,4,5] => ([(0,3),(0,4),(0,5),(0,6),(1,11),(1,16),(1,18),(2,12),(2,15),(3,9),(3,14),(4,8),(4,10),(4,14),(5,1),(5,8),(5,13),(5,14),(6,2),(6,9),(6,10),(6,13),(8,16),(8,18),(9,15),(9,17),(10,15),(10,17),(10,18),(11,19),(11,20),(12,19),(12,20),(13,11),(13,12),(13,17),(13,18),(14,16),(14,17),(15,19),(16,20),(17,19),(17,20),(18,19),(18,20),(19,7),(20,7)],21) => 1
[3,6,2,1,5,4] => ([(0,3),(0,4),(0,5),(0,6),(1,12),(1,19),(2,16),(2,19),(3,8),(3,13),(4,7),(4,9),(4,13),(5,2),(5,9),(5,10),(5,13),(6,1),(6,7),(6,8),(6,10),(7,14),(7,17),(7,19),(8,17),(8,19),(9,14),(9,16),(9,19),(10,12),(10,14),(10,16),(10,17),(12,15),(12,18),(13,16),(13,17),(14,15),(14,18),(15,11),(16,15),(16,18),(17,15),(17,18),(18,11),(19,18)],20) => 1
[3,6,2,5,4,1] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(1,20),(1,22),(2,13),(2,14),(2,17),(3,11),(3,12),(3,17),(4,8),(4,9),(4,11),(4,17),(5,1),(5,8),(5,10),(5,14),(5,17),(6,9),(6,10),(6,12),(6,13),(8,15),(8,20),(8,22),(9,15),(9,19),(9,22),(10,15),(10,16),(10,19),(10,20),(11,22),(12,19),(12,22),(13,16),(13,19),(14,16),(14,20),(14,22),(15,18),(15,21),(16,18),(16,21),(17,19),(17,20),(17,22),(18,7),(19,18),(19,21),(20,18),(20,21),(21,7),(22,21)],23) => 1
[3,6,4,5,1,2] => ([(0,1),(0,3),(0,4),(0,5),(1,11),(1,14),(2,6),(2,8),(2,15),(3,10),(3,12),(3,14),(4,9),(4,10),(4,14),(5,2),(5,9),(5,11),(5,12),(6,17),(6,18),(8,17),(9,13),(9,15),(9,16),(10,13),(10,15),(11,8),(11,16),(12,6),(12,13),(12,16),(13,18),(14,15),(14,16),(15,17),(15,18),(16,17),(16,18),(17,7),(18,7)],19) => 1
[3,6,4,5,2,1] => ([(0,1),(0,2),(0,3),(0,5),(1,11),(1,14),(2,10),(2,13),(2,14),(3,10),(3,12),(3,14),(4,7),(4,8),(4,9),(5,4),(5,11),(5,12),(5,13),(7,17),(8,17),(8,18),(9,17),(9,18),(10,15),(11,7),(11,16),(12,8),(12,15),(12,16),(13,9),(13,15),(13,16),(14,15),(14,16),(15,18),(16,17),(16,18),(17,6),(18,6)],19) => 1
[3,6,5,1,2,4] => ([(0,2),(0,4),(0,5),(0,6),(1,14),(1,16),(2,12),(2,17),(3,7),(3,8),(3,18),(4,10),(4,11),(4,17),(5,1),(5,11),(5,13),(5,17),(6,3),(6,10),(6,12),(6,13),(7,19),(7,20),(8,19),(10,15),(10,18),(11,14),(11,15),(11,16),(12,8),(12,18),(13,7),(13,15),(13,16),(13,18),(14,20),(15,19),(15,20),(16,19),(16,20),(17,14),(17,18),(18,19),(18,20),(19,9),(20,9)],21) => 1
[3,6,5,1,4,2] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(1,8),(1,15),(1,18),(1,20),(2,9),(2,14),(2,16),(3,11),(3,12),(3,16),(4,10),(4,11),(4,14),(5,12),(5,13),(5,14),(5,16),(6,1),(6,9),(6,10),(6,13),(6,16),(8,17),(8,21),(9,15),(9,20),(10,18),(10,19),(10,20),(11,19),(12,18),(12,19),(13,8),(13,15),(13,18),(13,20),(14,19),(14,20),(15,17),(15,21),(16,15),(16,18),(16,19),(17,7),(18,17),(18,21),(19,21),(20,17),(20,21),(21,7)],22) => 1
[3,6,5,2,1,4] => ([(0,3),(0,4),(0,5),(0,6),(1,17),(1,20),(2,16),(2,20),(3,8),(3,10),(3,11),(4,8),(4,9),(4,12),(5,2),(5,9),(5,11),(5,13),(6,1),(6,10),(6,12),(6,13),(8,20),(9,15),(9,20),(10,14),(10,20),(11,14),(11,16),(11,20),(12,15),(12,17),(12,20),(13,14),(13,15),(13,16),(13,17),(14,18),(14,19),(15,18),(15,19),(16,18),(16,19),(17,18),(17,19),(18,7),(19,7),(20,19)],21) => 1
[3,6,5,2,4,1] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(1,8),(1,19),(1,21),(2,12),(2,16),(2,17),(3,11),(3,16),(3,17),(4,9),(4,10),(4,16),(5,9),(5,12),(5,13),(5,17),(6,1),(6,10),(6,11),(6,13),(6,17),(8,18),(8,20),(9,14),(9,21),(10,14),(10,19),(10,21),(11,19),(11,21),(12,15),(12,21),(13,8),(13,14),(13,15),(13,19),(14,18),(14,20),(15,18),(15,20),(16,21),(17,15),(17,19),(17,21),(18,7),(19,18),(19,20),(20,7),(21,20)],22) => 1
[3,6,5,4,1,2] => ([(0,3),(0,4),(0,5),(1,8),(1,14),(2,6),(2,7),(3,10),(3,11),(4,2),(4,11),(4,12),(5,1),(5,10),(5,12),(6,13),(6,15),(7,13),(7,15),(8,13),(8,15),(10,14),(11,7),(11,14),(12,6),(12,8),(12,14),(13,9),(14,15),(15,9)],16) => 1
[3,6,5,4,2,1] => ([(0,3),(0,4),(0,5),(1,9),(1,13),(2,8),(2,13),(3,11),(4,2),(4,6),(4,11),(5,1),(5,6),(5,11),(6,8),(6,9),(6,13),(8,10),(8,12),(9,10),(9,12),(10,7),(11,13),(12,7),(13,12)],14) => 1
[4,1,2,3,5,6] => ([(0,3),(0,4),(0,5),(1,9),(1,13),(2,8),(2,13),(3,11),(4,2),(4,6),(4,11),(5,1),(5,6),(5,11),(6,8),(6,9),(6,13),(8,10),(8,12),(9,10),(9,12),(10,7),(11,13),(12,7),(13,12)],14) => 1
[4,1,2,3,6,5] => ([(0,3),(0,4),(0,5),(1,8),(1,14),(2,6),(2,7),(3,10),(3,11),(4,2),(4,11),(4,12),(5,1),(5,10),(5,12),(6,13),(6,15),(7,13),(7,15),(8,13),(8,15),(10,14),(11,7),(11,14),(12,6),(12,8),(12,14),(13,9),(14,15),(15,9)],16) => 1
[4,1,2,5,3,6] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(1,8),(1,19),(1,21),(2,12),(2,16),(2,17),(3,11),(3,16),(3,17),(4,9),(4,10),(4,16),(5,9),(5,12),(5,13),(5,17),(6,1),(6,10),(6,11),(6,13),(6,17),(8,18),(8,20),(9,14),(9,21),(10,14),(10,19),(10,21),(11,19),(11,21),(12,15),(12,21),(13,8),(13,14),(13,15),(13,19),(14,18),(14,20),(15,18),(15,20),(16,21),(17,15),(17,19),(17,21),(18,7),(19,18),(19,20),(20,7),(21,20)],22) => 1
[4,1,2,5,6,3] => ([(0,3),(0,4),(0,5),(0,6),(1,17),(1,20),(2,16),(2,20),(3,8),(3,10),(3,11),(4,8),(4,9),(4,12),(5,2),(5,9),(5,11),(5,13),(6,1),(6,10),(6,12),(6,13),(8,20),(9,15),(9,20),(10,14),(10,20),(11,14),(11,16),(11,20),(12,15),(12,17),(12,20),(13,14),(13,15),(13,16),(13,17),(14,18),(14,19),(15,18),(15,19),(16,18),(16,19),(17,18),(17,19),(18,7),(19,7),(20,19)],21) => 1
[4,1,2,6,3,5] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(1,8),(1,15),(1,18),(1,20),(2,9),(2,14),(2,16),(3,11),(3,12),(3,16),(4,10),(4,11),(4,14),(5,12),(5,13),(5,14),(5,16),(6,1),(6,9),(6,10),(6,13),(6,16),(8,17),(8,21),(9,15),(9,20),(10,18),(10,19),(10,20),(11,19),(12,18),(12,19),(13,8),(13,15),(13,18),(13,20),(14,19),(14,20),(15,17),(15,21),(16,15),(16,18),(16,19),(17,7),(18,17),(18,21),(19,21),(20,17),(20,21),(21,7)],22) => 1
[4,1,2,6,5,3] => ([(0,2),(0,4),(0,5),(0,6),(1,14),(1,16),(2,12),(2,17),(3,7),(3,8),(3,18),(4,10),(4,11),(4,17),(5,1),(5,11),(5,13),(5,17),(6,3),(6,10),(6,12),(6,13),(7,19),(7,20),(8,19),(10,15),(10,18),(11,14),(11,15),(11,16),(12,8),(12,18),(13,7),(13,15),(13,16),(13,18),(14,20),(15,19),(15,20),(16,19),(16,20),(17,14),(17,18),(18,19),(18,20),(19,9),(20,9)],21) => 1
[4,1,3,2,5,6] => ([(0,1),(0,2),(0,3),(0,5),(1,11),(1,14),(2,10),(2,13),(2,14),(3,10),(3,12),(3,14),(4,7),(4,8),(4,9),(5,4),(5,11),(5,12),(5,13),(7,17),(8,17),(8,18),(9,17),(9,18),(10,15),(11,7),(11,16),(12,8),(12,15),(12,16),(13,9),(13,15),(13,16),(14,15),(14,16),(15,18),(16,17),(16,18),(17,6),(18,6)],19) => 1
[4,1,3,2,6,5] => ([(0,1),(0,3),(0,4),(0,5),(1,11),(1,14),(2,6),(2,8),(2,15),(3,10),(3,12),(3,14),(4,9),(4,10),(4,14),(5,2),(5,9),(5,11),(5,12),(6,17),(6,18),(8,17),(9,13),(9,15),(9,16),(10,13),(10,15),(11,8),(11,16),(12,6),(12,13),(12,16),(13,18),(14,15),(14,16),(15,17),(15,18),(16,17),(16,18),(17,7),(18,7)],19) => 1
[4,1,5,2,3,6] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(1,20),(1,22),(2,13),(2,14),(2,17),(3,11),(3,12),(3,17),(4,8),(4,9),(4,11),(4,17),(5,1),(5,8),(5,10),(5,14),(5,17),(6,9),(6,10),(6,12),(6,13),(8,15),(8,20),(8,22),(9,15),(9,19),(9,22),(10,15),(10,16),(10,19),(10,20),(11,22),(12,19),(12,22),(13,16),(13,19),(14,16),(14,20),(14,22),(15,18),(15,21),(16,18),(16,21),(17,19),(17,20),(17,22),(18,7),(19,18),(19,21),(20,18),(20,21),(21,7),(22,21)],23) => 1
[4,1,5,6,2,3] => ([(0,3),(0,4),(0,5),(0,6),(1,12),(1,19),(2,16),(2,19),(3,8),(3,13),(4,7),(4,9),(4,13),(5,2),(5,9),(5,10),(5,13),(6,1),(6,7),(6,8),(6,10),(7,14),(7,17),(7,19),(8,17),(8,19),(9,14),(9,16),(9,19),(10,12),(10,14),(10,16),(10,17),(12,15),(12,18),(13,16),(13,17),(14,15),(14,18),(15,11),(16,15),(16,18),(17,15),(17,18),(18,11),(19,18)],20) => 1
[4,1,5,6,3,2] => ([(0,3),(0,4),(0,5),(0,6),(1,11),(1,16),(1,18),(2,12),(2,15),(3,9),(3,14),(4,8),(4,10),(4,14),(5,1),(5,8),(5,13),(5,14),(6,2),(6,9),(6,10),(6,13),(8,16),(8,18),(9,15),(9,17),(10,15),(10,17),(10,18),(11,19),(11,20),(12,19),(12,20),(13,11),(13,12),(13,17),(13,18),(14,16),(14,17),(15,19),(16,20),(17,19),(17,20),(18,19),(18,20),(19,7),(20,7)],21) => 1
[4,1,6,2,3,5] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(1,18),(1,19),(2,7),(2,13),(2,15),(3,7),(3,12),(3,15),(4,8),(4,9),(4,12),(4,15),(5,8),(5,10),(5,13),(5,15),(6,1),(6,9),(6,10),(6,12),(6,13),(7,17),(8,14),(8,21),(9,14),(9,18),(9,19),(9,21),(10,14),(10,18),(10,19),(10,21),(12,17),(12,18),(12,21),(13,17),(13,19),(13,21),(14,16),(14,20),(15,17),(15,21),(16,11),(17,20),(18,16),(18,20),(19,16),(19,20),(20,11),(21,16),(21,20)],22) => 1
[4,1,6,5,2,3] => ([(0,3),(0,4),(0,5),(0,6),(1,9),(1,18),(2,8),(2,19),(3,10),(3,11),(3,13),(4,11),(4,12),(4,14),(5,2),(5,12),(5,13),(5,15),(6,1),(6,10),(6,14),(6,15),(8,20),(8,21),(9,20),(10,17),(10,18),(11,16),(11,18),(12,16),(12,19),(13,16),(13,17),(13,19),(14,9),(14,18),(14,19),(15,8),(15,17),(15,18),(15,19),(16,21),(17,20),(17,21),(18,20),(18,21),(19,20),(19,21),(20,7),(21,7)],22) => 1
[4,1,6,5,3,2] => ([(0,3),(0,4),(0,5),(0,6),(1,11),(1,18),(2,12),(2,17),(2,18),(3,7),(3,14),(4,1),(4,10),(4,13),(4,14),(5,2),(5,9),(5,13),(5,14),(6,7),(6,9),(6,10),(7,17),(9,15),(9,17),(10,15),(10,17),(10,18),(11,16),(11,19),(12,16),(12,19),(13,11),(13,12),(13,15),(13,18),(14,17),(14,18),(15,16),(15,19),(16,8),(17,19),(18,16),(18,19),(19,8)],20) => 1
[4,2,1,3,5,6] => ([(0,1),(0,2),(0,4),(0,5),(1,9),(1,16),(2,10),(2,16),(3,6),(3,7),(3,15),(4,9),(4,11),(4,16),(5,3),(5,10),(5,11),(5,16),(6,13),(7,13),(7,14),(9,12),(10,6),(10,15),(11,7),(11,12),(11,15),(12,14),(13,8),(14,8),(15,13),(15,14),(16,12),(16,15)],17) => 1
[4,2,1,3,6,5] => ([(0,1),(0,3),(0,4),(0,5),(1,11),(1,15),(2,6),(2,8),(2,18),(3,12),(3,13),(3,15),(4,10),(4,13),(4,15),(5,2),(5,10),(5,11),(5,12),(6,16),(6,17),(7,16),(7,17),(8,16),(10,14),(10,18),(11,8),(11,18),(12,6),(12,14),(12,18),(13,7),(13,14),(14,17),(15,7),(15,18),(16,9),(17,9),(18,16),(18,17)],19) => 1
[4,2,1,5,3,6] => ([(0,1),(0,3),(0,4),(0,5),(0,6),(1,17),(1,19),(2,8),(2,18),(2,22),(3,10),(3,11),(3,19),(4,12),(4,14),(4,17),(4,19),(5,10),(5,13),(5,14),(5,17),(6,2),(6,11),(6,12),(6,13),(6,19),(7,20),(8,20),(8,21),(10,15),(10,22),(11,15),(11,18),(11,22),(12,16),(12,18),(12,22),(13,8),(13,15),(13,16),(13,22),(14,7),(14,16),(14,22),(15,20),(15,21),(16,20),(16,21),(17,7),(17,22),(18,21),(19,18),(19,22),(20,9),(21,9),(22,20),(22,21)],23) => 1
[4,2,1,5,6,3] => ([(0,2),(0,4),(0,5),(0,6),(1,14),(1,16),(2,12),(2,17),(3,7),(3,8),(3,18),(4,10),(4,11),(4,17),(5,1),(5,11),(5,13),(5,17),(6,3),(6,10),(6,12),(6,13),(7,19),(7,20),(8,19),(10,15),(10,18),(11,14),(11,15),(11,16),(12,8),(12,18),(13,7),(13,15),(13,16),(13,18),(14,20),(15,19),(15,20),(16,19),(16,20),(17,14),(17,18),(18,19),(18,20),(19,9),(20,9)],21) => 1
[4,2,1,6,3,5] => ([(0,1),(0,3),(0,4),(0,5),(0,6),(1,16),(1,18),(2,8),(2,17),(2,19),(2,22),(3,11),(3,12),(3,18),(4,13),(4,14),(4,16),(4,18),(5,10),(5,11),(5,13),(5,16),(6,2),(6,10),(6,12),(6,14),(6,18),(7,20),(8,20),(8,21),(10,15),(10,19),(10,22),(11,15),(11,22),(12,15),(12,17),(12,19),(13,7),(13,19),(13,22),(14,8),(14,17),(14,19),(14,22),(15,21),(16,7),(16,22),(17,20),(17,21),(18,17),(18,22),(19,20),(19,21),(20,9),(21,9),(22,20),(22,21)],23) => 1
[4,2,1,6,5,3] => ([(0,3),(0,4),(0,5),(0,6),(1,12),(1,15),(1,17),(2,11),(2,15),(2,16),(3,8),(3,13),(4,9),(4,13),(5,2),(5,8),(5,10),(5,13),(6,1),(6,9),(6,10),(6,13),(8,15),(8,16),(9,15),(9,17),(10,11),(10,12),(10,16),(10,17),(11,14),(11,18),(12,14),(12,18),(13,16),(13,17),(14,7),(15,18),(16,14),(16,18),(17,14),(17,18),(18,7)],19) => 1
[4,2,3,1,5,6] => ([(0,1),(0,2),(0,3),(0,5),(1,11),(1,14),(2,10),(2,13),(2,14),(3,10),(3,12),(3,14),(4,7),(4,8),(4,9),(5,4),(5,11),(5,12),(5,13),(7,17),(8,17),(8,18),(9,17),(9,18),(10,15),(11,7),(11,16),(12,8),(12,15),(12,16),(13,9),(13,15),(13,16),(14,15),(14,16),(15,18),(16,17),(16,18),(17,6),(18,6)],19) => 1
[4,2,3,1,6,5] => ([(0,1),(0,2),(0,3),(0,5),(1,11),(1,16),(2,13),(2,14),(2,16),(3,12),(3,14),(3,16),(4,7),(4,8),(4,9),(5,4),(5,11),(5,12),(5,13),(6,18),(6,19),(7,18),(8,18),(8,19),(9,18),(9,19),(11,7),(11,17),(12,8),(12,15),(12,17),(13,9),(13,15),(13,17),(14,6),(14,15),(15,19),(16,6),(16,17),(17,18),(17,19),(18,10),(19,10)],20) => 1
[4,2,3,5,1,6] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,9),(1,12),(1,15),(2,10),(2,12),(2,16),(3,11),(3,13),(3,15),(3,16),(4,8),(4,10),(4,11),(4,15),(5,8),(5,9),(5,13),(5,16),(6,18),(6,19),(8,14),(8,17),(8,20),(9,17),(9,21),(10,20),(10,21),(11,14),(11,20),(12,21),(13,6),(13,14),(13,17),(14,19),(15,17),(15,20),(15,21),(16,6),(16,20),(16,21),(17,18),(17,19),(18,7),(19,7),(20,18),(20,19),(21,18)],22) => 1
[4,2,3,5,6,1] => ([(0,1),(0,3),(0,4),(0,5),(1,6),(1,15),(2,7),(2,8),(2,13),(3,10),(3,12),(3,15),(4,2),(4,11),(4,12),(4,15),(5,6),(5,10),(5,11),(6,16),(7,17),(8,17),(8,18),(10,14),(10,16),(11,8),(11,14),(11,16),(12,7),(12,13),(12,14),(13,17),(13,18),(14,17),(14,18),(15,13),(15,16),(16,18),(17,9),(18,9)],19) => 1
[4,2,3,6,5,1] => ([(0,2),(0,3),(0,4),(0,5),(1,6),(1,15),(1,18),(2,10),(2,11),(2,12),(3,8),(3,9),(3,12),(4,9),(4,10),(4,13),(5,1),(5,8),(5,11),(5,13),(6,19),(6,20),(8,14),(8,18),(9,14),(9,16),(10,16),(10,17),(11,15),(11,17),(11,18),(12,15),(12,16),(12,18),(13,6),(13,14),(13,17),(14,19),(15,20),(16,19),(16,20),(17,19),(17,20),(18,19),(18,20),(19,7),(20,7)],21) => 1
[4,2,5,6,1,3] => ([(0,1),(0,3),(0,4),(0,5),(0,6),(1,16),(1,18),(2,7),(2,17),(2,19),(3,11),(3,12),(3,16),(3,18),(4,10),(4,13),(4,18),(5,9),(5,10),(5,12),(5,18),(6,2),(6,9),(6,11),(6,13),(6,16),(7,20),(9,15),(9,17),(9,19),(9,22),(10,14),(10,19),(11,15),(11,17),(11,19),(11,22),(12,14),(12,15),(12,22),(13,7),(13,19),(13,22),(14,21),(15,20),(15,21),(16,17),(16,22),(17,20),(17,21),(18,14),(18,22),(19,20),(19,21),(20,8),(21,8),(22,20),(22,21)],23) => 1
[4,2,5,6,3,1] => ([(0,1),(0,3),(0,4),(0,5),(0,6),(1,17),(1,19),(2,7),(2,18),(2,22),(3,9),(3,11),(3,19),(4,10),(4,12),(4,17),(4,19),(5,11),(5,12),(5,13),(5,19),(6,2),(6,9),(6,10),(6,13),(6,17),(7,20),(7,21),(9,16),(9,18),(9,22),(10,15),(10,18),(10,22),(11,14),(11,16),(12,14),(12,15),(12,22),(13,7),(13,15),(13,16),(13,22),(14,21),(15,20),(15,21),(16,20),(16,21),(17,18),(17,22),(18,20),(19,14),(19,22),(20,8),(21,8),(22,20),(22,21)],23) => 1
[4,2,6,5,1,3] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(1,17),(1,18),(1,21),(2,11),(2,13),(2,15),(3,12),(3,14),(3,15),(4,8),(4,10),(4,12),(4,15),(5,9),(5,10),(5,13),(5,15),(6,1),(6,8),(6,9),(6,11),(6,14),(8,17),(8,18),(8,19),(8,20),(9,17),(9,18),(9,19),(9,20),(10,20),(10,21),(11,17),(11,19),(12,18),(12,20),(13,17),(13,21),(14,18),(14,19),(14,21),(15,19),(15,20),(15,21),(16,7),(17,16),(17,22),(18,16),(18,22),(19,16),(19,22),(20,16),(20,22),(21,22),(22,7)],23) => 1
[4,2,6,5,3,1] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(1,8),(1,18),(1,21),(2,11),(2,12),(2,19),(3,9),(3,13),(3,19),(4,10),(4,13),(4,19),(5,10),(5,12),(5,14),(5,19),(6,1),(6,9),(6,11),(6,14),(6,19),(8,17),(8,20),(9,18),(9,21),(10,16),(10,21),(11,15),(11,18),(11,21),(12,15),(12,16),(13,21),(14,8),(14,15),(14,16),(14,18),(15,17),(15,20),(16,17),(16,20),(17,7),(18,17),(18,20),(19,16),(19,18),(19,21),(20,7),(21,20)],22) => 1
[4,3,1,2,5,6] => ([(0,3),(0,4),(0,5),(1,13),(2,6),(2,8),(3,9),(3,10),(4,2),(4,10),(4,11),(5,1),(5,9),(5,11),(6,14),(6,15),(8,14),(9,12),(9,13),(10,8),(10,12),(11,6),(11,12),(11,13),(12,14),(12,15),(13,15),(14,7),(15,7)],16) => 1
[4,3,1,2,6,5] => ([(0,3),(0,4),(0,5),(1,6),(1,9),(2,7),(2,8),(3,1),(3,11),(3,13),(4,2),(4,12),(4,13),(5,11),(5,12),(6,15),(7,16),(8,15),(8,16),(9,15),(9,16),(11,9),(11,14),(12,7),(12,14),(13,6),(13,8),(13,14),(14,15),(14,16),(15,10),(16,10)],17) => 1
[4,3,1,5,2,6] => ([(0,1),(0,3),(0,4),(0,5),(0,6),(1,17),(1,19),(2,7),(2,18),(2,22),(3,9),(3,11),(3,19),(4,10),(4,12),(4,17),(4,19),(5,11),(5,12),(5,13),(5,19),(6,2),(6,9),(6,10),(6,13),(6,17),(7,20),(7,21),(9,16),(9,18),(9,22),(10,15),(10,18),(10,22),(11,14),(11,16),(12,14),(12,15),(12,22),(13,7),(13,15),(13,16),(13,22),(14,21),(15,20),(15,21),(16,20),(16,21),(17,18),(17,22),(18,20),(19,14),(19,22),(20,8),(21,8),(22,20),(22,21)],23) => 1
[4,3,1,5,6,2] => ([(0,3),(0,4),(0,5),(0,6),(1,11),(1,16),(1,18),(2,12),(2,15),(3,9),(3,14),(4,8),(4,10),(4,14),(5,1),(5,8),(5,13),(5,14),(6,2),(6,9),(6,10),(6,13),(8,16),(8,18),(9,15),(9,17),(10,15),(10,17),(10,18),(11,19),(11,20),(12,19),(12,20),(13,11),(13,12),(13,17),(13,18),(14,16),(14,17),(15,19),(16,20),(17,19),(17,20),(18,19),(18,20),(19,7),(20,7)],21) => 1
[4,3,1,6,2,5] => ([(0,1),(0,3),(0,4),(0,5),(0,6),(1,16),(1,18),(2,7),(2,17),(2,19),(3,11),(3,12),(3,16),(3,18),(4,10),(4,13),(4,18),(5,9),(5,10),(5,12),(5,18),(6,2),(6,9),(6,11),(6,13),(6,16),(7,20),(9,15),(9,17),(9,19),(9,22),(10,14),(10,19),(11,15),(11,17),(11,19),(11,22),(12,14),(12,15),(12,22),(13,7),(13,19),(13,22),(14,21),(15,20),(15,21),(16,17),(16,22),(17,20),(17,21),(18,14),(18,22),(19,20),(19,21),(20,8),(21,8),(22,20),(22,21)],23) => 1
[4,3,1,6,5,2] => ([(0,3),(0,4),(0,5),(0,6),(1,12),(1,19),(2,16),(2,19),(3,8),(3,13),(4,7),(4,9),(4,13),(5,2),(5,9),(5,10),(5,13),(6,1),(6,7),(6,8),(6,10),(7,14),(7,17),(7,19),(8,17),(8,19),(9,14),(9,16),(9,19),(10,12),(10,14),(10,16),(10,17),(12,15),(12,18),(13,16),(13,17),(14,15),(14,18),(15,11),(16,15),(16,18),(17,15),(17,18),(18,11),(19,18)],20) => 1
[4,3,2,1,5,6] => ([(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) => 1
[4,3,2,1,6,5] => ([(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) => 1
[4,3,2,5,1,6] => ([(0,1),(0,2),(0,4),(0,5),(1,9),(1,16),(2,10),(2,16),(3,6),(3,7),(3,15),(4,9),(4,11),(4,16),(5,3),(5,10),(5,11),(5,16),(6,13),(7,13),(7,14),(9,12),(10,6),(10,15),(11,7),(11,12),(11,15),(12,14),(13,8),(14,8),(15,13),(15,14),(16,12),(16,15)],17) => 1
[4,3,2,5,6,1] => ([(0,3),(0,4),(0,5),(1,13),(2,6),(2,8),(3,9),(3,10),(4,2),(4,10),(4,11),(5,1),(5,9),(5,11),(6,14),(6,15),(8,14),(9,12),(9,13),(10,8),(10,12),(11,6),(11,12),(11,13),(12,14),(12,15),(13,15),(14,7),(15,7)],16) => 1
[4,3,2,6,1,5] => ([(0,2),(0,3),(0,4),(0,6),(1,15),(1,17),(2,7),(2,14),(3,9),(3,14),(4,9),(4,10),(4,14),(5,1),(5,11),(5,12),(5,16),(6,5),(6,7),(6,10),(6,14),(7,11),(7,16),(9,13),(10,12),(10,13),(10,16),(11,15),(11,17),(12,15),(12,17),(13,17),(14,13),(14,16),(15,8),(16,15),(16,17),(17,8)],18) => 1
[4,3,2,6,5,1] => ([(0,3),(0,4),(0,5),(1,14),(2,6),(2,8),(2,14),(3,9),(3,10),(4,2),(4,10),(4,11),(5,1),(5,9),(5,11),(6,13),(6,15),(8,13),(8,15),(9,12),(9,14),(10,8),(10,12),(11,6),(11,12),(11,14),(12,13),(12,15),(13,7),(14,15),(15,7)],16) => 1
[4,3,5,1,2,6] => ([(0,2),(0,3),(0,4),(0,5),(1,14),(1,19),(2,9),(2,11),(2,12),(3,8),(3,9),(3,10),(4,7),(4,8),(4,11),(5,1),(5,7),(5,10),(5,12),(7,13),(7,19),(8,13),(8,16),(9,15),(9,16),(10,13),(10,15),(10,19),(11,14),(11,16),(11,19),(12,14),(12,15),(12,19),(13,17),(14,18),(15,17),(15,18),(16,17),(16,18),(17,6),(18,6),(19,17),(19,18)],20) => 1
[4,3,5,1,6,2] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(1,21),(1,22),(2,11),(2,13),(2,18),(3,12),(3,14),(3,18),(4,8),(4,9),(4,13),(4,18),(5,8),(5,10),(5,14),(5,18),(6,9),(6,10),(6,11),(6,12),(8,17),(8,19),(9,15),(9,19),(9,20),(10,1),(10,16),(10,19),(10,20),(11,15),(11,20),(12,16),(12,20),(13,15),(13,19),(14,16),(14,17),(15,21),(16,21),(16,22),(17,22),(18,17),(18,19),(18,20),(19,21),(19,22),(20,21),(20,22),(21,7),(22,7)],23) => 1
[4,3,5,2,1,6] => ([(0,2),(0,3),(0,4),(0,5),(1,10),(1,17),(2,7),(2,13),(3,9),(3,11),(3,13),(4,1),(4,8),(4,11),(4,13),(5,7),(5,8),(5,9),(7,16),(8,12),(8,16),(8,17),(9,12),(9,16),(10,14),(11,10),(11,12),(11,17),(12,14),(12,15),(13,16),(13,17),(14,6),(15,6),(16,15),(17,14),(17,15)],18) => 1
[4,3,5,2,6,1] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,10),(1,11),(1,19),(2,9),(2,12),(2,19),(3,8),(3,12),(3,19),(4,6),(4,8),(4,10),(4,19),(5,6),(5,9),(5,11),(5,19),(6,13),(6,17),(6,18),(8,16),(8,17),(9,16),(9,18),(10,13),(10,17),(11,13),(11,18),(12,16),(13,15),(14,7),(15,7),(16,14),(17,14),(17,15),(18,14),(18,15),(19,16),(19,17),(19,18)],20) => 1
[4,3,5,6,1,2] => ([(0,3),(0,4),(0,5),(1,6),(1,9),(2,7),(2,8),(3,1),(3,11),(3,13),(4,2),(4,12),(4,13),(5,11),(5,12),(6,15),(7,16),(8,15),(8,16),(9,15),(9,16),(11,9),(11,14),(12,7),(12,14),(13,6),(13,8),(13,14),(14,15),(14,16),(15,10),(16,10)],17) => 1
[4,3,5,6,2,1] => ([(0,3),(0,4),(0,5),(1,13),(2,6),(2,8),(3,9),(3,10),(4,2),(4,10),(4,11),(5,1),(5,9),(5,11),(6,14),(6,15),(8,14),(9,12),(9,13),(10,8),(10,12),(11,6),(11,12),(11,13),(12,14),(12,15),(13,15),(14,7),(15,7)],16) => 1
[4,3,6,1,2,5] => ([(0,3),(0,4),(0,5),(0,6),(1,9),(1,18),(2,8),(2,19),(3,10),(3,11),(3,13),(4,11),(4,12),(4,14),(5,2),(5,12),(5,13),(5,15),(6,1),(6,10),(6,14),(6,15),(8,20),(8,21),(9,20),(10,17),(10,18),(11,16),(11,18),(12,16),(12,19),(13,16),(13,17),(13,19),(14,9),(14,18),(14,19),(15,8),(15,17),(15,18),(15,19),(16,21),(17,20),(17,21),(18,20),(18,21),(19,20),(19,21),(20,7),(21,7)],22) => 1
[4,3,6,1,5,2] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(1,17),(1,18),(1,21),(2,11),(2,13),(2,15),(3,12),(3,14),(3,15),(4,8),(4,10),(4,12),(4,15),(5,9),(5,10),(5,13),(5,15),(6,1),(6,8),(6,9),(6,11),(6,14),(8,17),(8,18),(8,19),(8,20),(9,17),(9,18),(9,19),(9,20),(10,20),(10,21),(11,17),(11,19),(12,18),(12,20),(13,17),(13,21),(14,18),(14,19),(14,21),(15,19),(15,20),(15,21),(16,7),(17,16),(17,22),(18,16),(18,22),(19,16),(19,22),(20,16),(20,22),(21,22),(22,7)],23) => 1
[4,3,6,2,1,5] => ([(0,3),(0,4),(0,5),(0,6),(1,11),(1,18),(2,12),(2,17),(2,18),(3,7),(3,14),(4,1),(4,10),(4,13),(4,14),(5,2),(5,9),(5,13),(5,14),(6,7),(6,9),(6,10),(7,17),(9,15),(9,17),(10,15),(10,17),(10,18),(11,16),(11,19),(12,16),(12,19),(13,11),(13,12),(13,15),(13,18),(14,17),(14,18),(15,16),(15,19),(16,8),(17,19),(18,16),(18,19),(19,8)],20) => 1
[4,3,6,2,5,1] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(1,8),(1,18),(1,21),(2,11),(2,12),(2,19),(3,9),(3,13),(3,19),(4,10),(4,13),(4,19),(5,10),(5,12),(5,14),(5,19),(6,1),(6,9),(6,11),(6,14),(6,19),(8,17),(8,20),(9,18),(9,21),(10,16),(10,21),(11,15),(11,18),(11,21),(12,15),(12,16),(13,21),(14,8),(14,15),(14,16),(14,18),(15,17),(15,20),(16,17),(16,20),(17,7),(18,17),(18,20),(19,16),(19,18),(19,21),(20,7),(21,20)],22) => 1
[4,3,6,5,1,2] => ([(0,2),(0,3),(0,4),(1,7),(1,8),(2,1),(2,11),(2,12),(3,9),(3,10),(3,12),(4,9),(4,10),(4,11),(5,15),(5,16),(7,15),(7,16),(8,15),(8,16),(9,5),(9,13),(10,5),(10,14),(11,7),(11,13),(11,14),(12,8),(12,13),(12,14),(13,16),(14,15),(14,16),(15,6),(16,6)],17) => 1
[4,3,6,5,2,1] => ([(0,2),(0,3),(0,4),(1,8),(1,9),(2,1),(2,10),(2,11),(3,6),(3,7),(3,11),(4,6),(4,7),(4,10),(6,14),(7,12),(7,14),(8,13),(8,15),(9,13),(9,15),(10,8),(10,12),(10,14),(11,9),(11,12),(11,14),(12,13),(12,15),(13,5),(14,15),(15,5)],16) => 1
[4,5,1,2,3,6] => ([(0,3),(0,4),(0,5),(1,14),(2,6),(2,8),(2,14),(3,9),(3,10),(4,2),(4,10),(4,11),(5,1),(5,9),(5,11),(6,13),(6,15),(8,13),(8,15),(9,12),(9,14),(10,8),(10,12),(11,6),(11,12),(11,14),(12,13),(12,15),(13,7),(14,15),(15,7)],16) => 1
[4,5,1,2,6,3] => ([(0,3),(0,4),(0,5),(0,6),(1,12),(1,19),(2,16),(2,19),(3,8),(3,13),(4,7),(4,9),(4,13),(5,2),(5,9),(5,10),(5,13),(6,1),(6,7),(6,8),(6,10),(7,14),(7,17),(7,19),(8,17),(8,19),(9,14),(9,16),(9,19),(10,12),(10,14),(10,16),(10,17),(12,15),(12,18),(13,16),(13,17),(14,15),(14,18),(15,11),(16,15),(16,18),(17,15),(17,18),(18,11),(19,18)],20) => 1
[4,5,1,3,2,6] => ([(0,2),(0,3),(0,4),(0,5),(1,6),(1,15),(1,18),(2,10),(2,11),(2,12),(3,8),(3,9),(3,12),(4,9),(4,10),(4,13),(5,1),(5,8),(5,11),(5,13),(6,19),(6,20),(8,14),(8,18),(9,14),(9,16),(10,16),(10,17),(11,15),(11,17),(11,18),(12,15),(12,16),(12,18),(13,6),(13,14),(13,17),(14,19),(15,20),(16,19),(16,20),(17,19),(17,20),(18,19),(18,20),(19,7),(20,7)],21) => 1
[4,5,1,6,2,3] => ([(0,3),(0,4),(0,5),(0,6),(1,12),(1,15),(1,17),(2,11),(2,15),(2,16),(3,8),(3,13),(4,9),(4,13),(5,2),(5,8),(5,10),(5,13),(6,1),(6,9),(6,10),(6,13),(8,15),(8,16),(9,15),(9,17),(10,11),(10,12),(10,16),(10,17),(11,14),(11,18),(12,14),(12,18),(13,16),(13,17),(14,7),(15,18),(16,14),(16,18),(17,14),(17,18),(18,7)],19) => 1
[4,5,1,6,3,2] => ([(0,2),(0,4),(0,5),(0,6),(1,14),(1,16),(2,12),(2,17),(3,7),(3,8),(3,18),(4,10),(4,11),(4,17),(5,1),(5,11),(5,13),(5,17),(6,3),(6,10),(6,12),(6,13),(7,19),(7,20),(8,19),(10,15),(10,18),(11,14),(11,15),(11,16),(12,8),(12,18),(13,7),(13,15),(13,16),(13,18),(14,20),(15,19),(15,20),(16,19),(16,20),(17,14),(17,18),(18,19),(18,20),(19,9),(20,9)],21) => 1
[4,5,2,1,3,6] => ([(0,2),(0,3),(0,4),(0,5),(1,14),(1,19),(2,9),(2,11),(2,12),(3,8),(3,9),(3,10),(4,7),(4,8),(4,11),(5,1),(5,7),(5,10),(5,12),(7,13),(7,19),(8,13),(8,16),(9,15),(9,16),(10,13),(10,15),(10,19),(11,14),(11,16),(11,19),(12,14),(12,15),(12,19),(13,17),(14,18),(15,17),(15,18),(16,17),(16,18),(17,6),(18,6),(19,17),(19,18)],20) => 1
[4,5,2,1,6,3] => ([(0,3),(0,4),(0,5),(0,6),(1,9),(1,18),(2,8),(2,19),(3,10),(3,11),(3,13),(4,11),(4,12),(4,14),(5,2),(5,12),(5,13),(5,15),(6,1),(6,10),(6,14),(6,15),(8,20),(8,21),(9,20),(10,17),(10,18),(11,16),(11,18),(12,16),(12,19),(13,16),(13,17),(13,19),(14,9),(14,18),(14,19),(15,8),(15,17),(15,18),(15,19),(16,21),(17,20),(17,21),(18,20),(18,21),(19,20),(19,21),(20,7),(21,7)],22) => 1
[4,5,2,3,1,6] => ([(0,1),(0,2),(0,3),(0,4),(1,9),(1,10),(1,15),(2,8),(2,11),(2,15),(3,7),(3,8),(3,9),(4,7),(4,10),(4,11),(4,15),(5,17),(7,12),(7,13),(7,16),(8,13),(8,16),(9,12),(9,16),(10,12),(10,14),(11,5),(11,13),(11,14),(12,18),(13,17),(13,18),(14,17),(14,18),(15,5),(15,14),(15,16),(16,17),(16,18),(17,6),(18,6)],19) => 1
[4,5,2,3,6,1] => ([(0,1),(0,2),(0,3),(0,4),(1,10),(1,11),(1,12),(2,8),(2,9),(2,12),(3,6),(3,7),(3,9),(3,11),(4,6),(4,7),(4,8),(4,10),(6,14),(6,19),(7,13),(7,15),(7,19),(8,13),(8,19),(9,13),(9,16),(9,19),(10,14),(10,15),(10,19),(11,14),(11,15),(11,16),(12,16),(12,19),(13,17),(14,18),(15,17),(15,18),(16,17),(16,18),(17,5),(18,5),(19,17),(19,18)],20) => 1
[4,5,2,6,1,3] => ([(0,1),(0,3),(0,4),(0,5),(0,6),(1,16),(1,18),(2,8),(2,17),(2,19),(2,22),(3,11),(3,12),(3,18),(4,13),(4,14),(4,16),(4,18),(5,10),(5,11),(5,13),(5,16),(6,2),(6,10),(6,12),(6,14),(6,18),(7,20),(8,20),(8,21),(10,15),(10,19),(10,22),(11,15),(11,22),(12,15),(12,17),(12,19),(13,7),(13,19),(13,22),(14,8),(14,17),(14,19),(14,22),(15,21),(16,7),(16,22),(17,20),(17,21),(18,17),(18,22),(19,20),(19,21),(20,9),(21,9),(22,20),(22,21)],23) => 1
[4,5,2,6,3,1] => ([(0,1),(0,3),(0,4),(0,5),(0,6),(1,17),(1,19),(2,8),(2,18),(2,22),(3,10),(3,11),(3,19),(4,12),(4,14),(4,17),(4,19),(5,10),(5,13),(5,14),(5,17),(6,2),(6,11),(6,12),(6,13),(6,19),(7,20),(8,20),(8,21),(10,15),(10,22),(11,15),(11,18),(11,22),(12,16),(12,18),(12,22),(13,8),(13,15),(13,16),(13,22),(14,7),(14,16),(14,22),(15,20),(15,21),(16,20),(16,21),(17,7),(17,22),(18,21),(19,18),(19,22),(20,9),(21,9),(22,20),(22,21)],23) => 1
[4,5,3,1,2,6] => ([(0,1),(0,2),(0,3),(0,4),(1,7),(1,8),(1,9),(2,9),(2,10),(2,12),(3,8),(3,10),(3,11),(4,7),(4,11),(4,12),(5,17),(7,14),(7,15),(8,13),(8,14),(9,13),(9,15),(10,13),(10,16),(11,5),(11,14),(11,16),(12,5),(12,15),(12,16),(13,18),(14,17),(14,18),(15,17),(15,18),(16,17),(16,18),(17,6),(18,6)],19) => 1
[4,5,3,2,1,6] => ([(0,3),(0,4),(0,5),(1,14),(2,1),(2,6),(2,7),(3,9),(3,11),(4,9),(4,10),(5,2),(5,10),(5,11),(6,13),(6,14),(7,13),(7,14),(9,12),(10,6),(10,12),(11,7),(11,12),(12,13),(13,8),(14,8)],15) => 1
[4,5,3,2,6,1] => ([(0,2),(0,3),(0,4),(0,5),(1,10),(1,17),(2,7),(2,13),(3,9),(3,11),(3,13),(4,1),(4,8),(4,11),(4,13),(5,7),(5,8),(5,9),(7,16),(8,12),(8,16),(8,17),(9,12),(9,16),(10,14),(11,10),(11,12),(11,17),(12,14),(12,15),(13,16),(13,17),(14,6),(15,6),(16,15),(17,14),(17,15)],18) => 1
[4,5,3,6,1,2] => ([(0,1),(0,3),(0,4),(0,5),(1,11),(1,15),(2,6),(2,8),(2,18),(3,12),(3,13),(3,15),(4,10),(4,13),(4,15),(5,2),(5,10),(5,11),(5,12),(6,16),(6,17),(7,16),(7,17),(8,16),(10,14),(10,18),(11,8),(11,18),(12,6),(12,14),(12,18),(13,7),(13,14),(14,17),(15,7),(15,18),(16,9),(17,9),(18,16),(18,17)],19) => 1
[4,5,3,6,2,1] => ([(0,1),(0,2),(0,4),(0,5),(1,9),(1,16),(2,10),(2,16),(3,6),(3,7),(3,15),(4,9),(4,11),(4,16),(5,3),(5,10),(5,11),(5,16),(6,13),(7,13),(7,14),(9,12),(10,6),(10,15),(11,7),(11,12),(11,15),(12,14),(13,8),(14,8),(15,13),(15,14),(16,12),(16,15)],17) => 1
[4,5,6,1,2,3] => ([(0,1),(0,2),(1,4),(1,10),(2,3),(2,10),(3,5),(3,8),(4,5),(4,9),(5,11),(7,6),(8,7),(8,11),(9,7),(9,11),(10,8),(10,9),(11,6)],12) => 1
[4,5,6,1,3,2] => ([(0,3),(0,4),(0,6),(1,14),(2,14),(2,15),(3,8),(3,12),(4,9),(4,12),(5,2),(5,10),(5,11),(6,5),(6,8),(6,9),(8,11),(8,13),(9,10),(9,13),(10,15),(11,14),(11,15),(12,1),(12,13),(13,14),(13,15),(14,7),(15,7)],16) => 1
[4,5,6,2,1,3] => ([(0,3),(0,4),(0,6),(1,14),(2,14),(2,15),(3,8),(3,12),(4,9),(4,12),(5,2),(5,10),(5,11),(6,5),(6,8),(6,9),(8,11),(8,13),(9,10),(9,13),(10,15),(11,14),(11,15),(12,1),(12,13),(13,14),(13,15),(14,7),(15,7)],16) => 1
[4,5,6,2,3,1] => ([(0,3),(0,4),(0,5),(1,13),(2,6),(2,7),(2,14),(3,9),(3,10),(4,9),(4,11),(5,2),(5,10),(5,11),(6,12),(7,12),(7,13),(9,1),(9,14),(10,6),(10,14),(11,7),(11,14),(12,8),(13,8),(14,12),(14,13)],15) => 1
[4,5,6,3,1,2] => ([(0,3),(0,4),(0,5),(1,14),(2,6),(2,7),(3,9),(3,10),(4,9),(4,11),(5,2),(5,10),(5,11),(6,13),(7,13),(7,14),(9,1),(9,12),(10,6),(10,12),(11,7),(11,12),(12,13),(12,14),(13,8),(14,8)],15) => 1
[4,5,6,3,2,1] => ([(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) => 1
[4,6,1,2,3,5] => ([(0,2),(0,3),(0,4),(0,6),(1,15),(1,17),(2,7),(2,14),(3,9),(3,14),(4,9),(4,10),(4,14),(5,1),(5,11),(5,12),(5,16),(6,5),(6,7),(6,10),(6,14),(7,11),(7,16),(9,13),(10,12),(10,13),(10,16),(11,15),(11,17),(12,15),(12,17),(13,17),(14,13),(14,16),(15,8),(16,15),(16,17),(17,8)],18) => 1
[4,6,1,2,5,3] => ([(0,1),(0,3),(0,4),(0,5),(0,6),(1,16),(1,18),(2,7),(2,17),(2,19),(3,11),(3,12),(3,16),(3,18),(4,10),(4,13),(4,18),(5,9),(5,10),(5,12),(5,18),(6,2),(6,9),(6,11),(6,13),(6,16),(7,20),(9,15),(9,17),(9,19),(9,22),(10,14),(10,19),(11,15),(11,17),(11,19),(11,22),(12,14),(12,15),(12,22),(13,7),(13,19),(13,22),(14,21),(15,20),(15,21),(16,17),(16,22),(17,20),(17,21),(18,14),(18,22),(19,20),(19,21),(20,8),(21,8),(22,20),(22,21)],23) => 1
[4,6,1,5,2,3] => ([(0,1),(0,3),(0,4),(0,5),(0,6),(1,16),(1,18),(2,8),(2,17),(2,19),(2,22),(3,11),(3,12),(3,18),(4,13),(4,14),(4,16),(4,18),(5,10),(5,11),(5,13),(5,16),(6,2),(6,10),(6,12),(6,14),(6,18),(7,20),(8,20),(8,21),(10,15),(10,19),(10,22),(11,15),(11,22),(12,15),(12,17),(12,19),(13,7),(13,19),(13,22),(14,8),(14,17),(14,19),(14,22),(15,21),(16,7),(16,22),(17,20),(17,21),(18,17),(18,22),(19,20),(19,21),(20,9),(21,9),(22,20),(22,21)],23) => 1
[4,6,1,5,3,2] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(1,8),(1,15),(1,18),(1,20),(2,9),(2,14),(2,16),(3,11),(3,12),(3,16),(4,10),(4,11),(4,14),(5,12),(5,13),(5,14),(5,16),(6,1),(6,9),(6,10),(6,13),(6,16),(8,17),(8,21),(9,15),(9,20),(10,18),(10,19),(10,20),(11,19),(12,18),(12,19),(13,8),(13,15),(13,18),(13,20),(14,19),(14,20),(15,17),(15,21),(16,15),(16,18),(16,19),(17,7),(18,17),(18,21),(19,21),(20,17),(20,21),(21,7)],22) => 1
[4,6,2,1,3,5] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(1,21),(1,22),(2,11),(2,13),(2,18),(3,12),(3,14),(3,18),(4,8),(4,9),(4,13),(4,18),(5,8),(5,10),(5,14),(5,18),(6,9),(6,10),(6,11),(6,12),(8,17),(8,19),(9,15),(9,19),(9,20),(10,1),(10,16),(10,19),(10,20),(11,15),(11,20),(12,16),(12,20),(13,15),(13,19),(14,16),(14,17),(15,21),(16,21),(16,22),(17,22),(18,17),(18,19),(18,20),(19,21),(19,22),(20,21),(20,22),(21,7),(22,7)],23) => 1
[4,6,2,1,5,3] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(1,17),(1,18),(1,21),(2,11),(2,13),(2,15),(3,12),(3,14),(3,15),(4,8),(4,10),(4,12),(4,15),(5,9),(5,10),(5,13),(5,15),(6,1),(6,8),(6,9),(6,11),(6,14),(8,17),(8,18),(8,19),(8,20),(9,17),(9,18),(9,19),(9,20),(10,20),(10,21),(11,17),(11,19),(12,18),(12,20),(13,17),(13,21),(14,18),(14,19),(14,21),(15,19),(15,20),(15,21),(16,7),(17,16),(17,22),(18,16),(18,22),(19,16),(19,22),(20,16),(20,22),(21,22),(22,7)],23) => 1
[4,6,2,3,1,5] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(1,21),(1,22),(2,8),(2,10),(2,17),(3,12),(3,13),(3,15),(3,17),(4,11),(4,14),(4,15),(4,17),(5,8),(5,9),(5,13),(5,14),(6,9),(6,10),(6,11),(6,12),(8,19),(8,23),(9,1),(9,19),(9,20),(9,23),(10,18),(10,19),(11,18),(11,20),(12,18),(12,20),(12,23),(13,16),(13,23),(14,16),(14,20),(14,23),(15,16),(15,19),(15,20),(16,22),(17,18),(17,19),(17,23),(18,21),(19,21),(19,22),(20,21),(20,22),(21,7),(22,7),(23,21),(23,22)],24) => 1
[4,6,2,5,3,1] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,9),(1,16),(1,20),(2,8),(2,16),(2,17),(3,9),(3,10),(3,17),(3,20),(4,12),(4,13),(4,16),(4,17),(4,20),(5,11),(5,13),(5,16),(5,17),(5,20),(6,8),(6,10),(6,11),(6,12),(6,20),(8,19),(8,23),(9,22),(10,15),(10,19),(10,22),(11,14),(11,15),(11,19),(11,23),(12,14),(12,15),(12,19),(12,23),(13,14),(13,22),(13,23),(14,18),(14,21),(15,18),(15,21),(16,22),(16,23),(17,19),(17,22),(17,23),(18,7),(19,18),(19,21),(20,15),(20,22),(20,23),(21,7),(22,21),(23,18),(23,21)],24) => 1
[4,6,3,2,1,5] => ([(0,2),(0,3),(0,4),(0,6),(1,15),(1,17),(2,12),(2,13),(3,7),(3,12),(4,8),(4,12),(4,13),(5,1),(5,10),(5,11),(5,14),(6,5),(6,7),(6,8),(6,13),(7,10),(7,16),(8,11),(8,14),(8,16),(10,15),(10,17),(11,15),(11,17),(12,16),(13,14),(13,16),(14,15),(14,17),(15,9),(16,17),(17,9)],18) => 1
[4,6,3,2,5,1] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(1,12),(1,20),(1,21),(2,13),(2,14),(3,8),(3,13),(3,15),(4,9),(4,10),(4,13),(4,15),(5,7),(5,8),(5,9),(5,14),(6,1),(6,7),(6,10),(6,14),(6,15),(7,12),(7,16),(7,18),(7,20),(8,18),(8,21),(9,16),(9,18),(9,21),(10,16),(10,20),(10,21),(12,17),(12,19),(13,21),(14,20),(14,21),(15,18),(15,20),(15,21),(16,17),(16,19),(17,11),(18,17),(18,19),(19,11),(20,17),(20,19),(21,19)],22) => 1
[4,6,3,5,1,2] => ([(0,1),(0,2),(0,3),(0,4),(0,6),(1,10),(1,15),(1,16),(2,11),(2,15),(2,16),(3,13),(3,15),(3,16),(4,12),(4,15),(4,16),(5,8),(5,9),(5,14),(5,20),(6,5),(6,10),(6,11),(6,12),(6,13),(8,17),(8,19),(9,17),(9,19),(10,18),(10,20),(11,14),(11,18),(11,20),(12,8),(12,18),(12,20),(13,9),(13,18),(13,20),(14,17),(14,19),(15,14),(15,20),(16,14),(16,18),(17,7),(18,19),(19,7),(20,17),(20,19)],21) => 1
[4,6,3,5,2,1] => ([(0,1),(0,2),(0,3),(0,4),(0,6),(1,14),(1,18),(2,13),(2,14),(2,18),(3,12),(3,14),(3,18),(4,11),(4,14),(4,18),(5,8),(5,9),(5,10),(5,16),(6,5),(6,11),(6,12),(6,13),(6,18),(8,15),(8,19),(9,15),(9,19),(10,15),(10,19),(11,8),(11,16),(11,17),(12,9),(12,16),(12,17),(13,10),(13,16),(13,17),(14,17),(15,7),(16,15),(16,19),(17,19),(18,16),(18,17),(19,7)],20) => 1
[4,6,5,1,2,3] => ([(0,3),(0,4),(0,6),(1,14),(2,14),(2,15),(3,8),(3,12),(4,9),(4,12),(5,2),(5,10),(5,11),(6,5),(6,8),(6,9),(8,11),(8,13),(9,10),(9,13),(10,15),(11,14),(11,15),(12,1),(12,13),(13,14),(13,15),(14,7),(15,7)],16) => 1
[4,6,5,1,3,2] => ([(0,1),(0,2),(0,3),(0,4),(1,9),(1,10),(1,12),(2,8),(2,10),(2,11),(3,7),(3,8),(3,12),(4,7),(4,9),(4,11),(5,15),(5,16),(7,17),(8,13),(8,17),(9,14),(9,17),(10,13),(10,14),(11,5),(11,14),(11,17),(12,5),(12,13),(12,17),(13,15),(13,16),(14,15),(14,16),(15,6),(16,6),(17,16)],18) => 1
[4,6,5,2,1,3] => ([(0,3),(0,4),(0,5),(0,6),(1,16),(1,18),(2,16),(2,18),(3,10),(3,11),(3,13),(4,9),(4,12),(4,13),(5,8),(5,9),(5,11),(6,8),(6,10),(6,12),(8,17),(9,14),(9,17),(10,15),(10,17),(11,2),(11,14),(11,17),(12,1),(12,15),(12,17),(13,14),(13,15),(14,16),(14,18),(15,16),(15,18),(16,7),(17,18),(18,7)],19) => 1
[4,6,5,2,3,1] => ([(0,2),(0,3),(0,4),(0,5),(1,14),(1,16),(2,7),(2,8),(2,9),(3,7),(3,10),(3,12),(4,8),(4,11),(4,12),(5,9),(5,10),(5,11),(7,17),(8,15),(8,17),(9,1),(9,15),(9,17),(10,13),(10,17),(11,13),(11,15),(12,13),(12,15),(12,17),(13,14),(13,16),(14,6),(15,14),(15,16),(16,6),(17,16)],18) => 1
[4,6,5,3,1,2] => ([(0,2),(0,3),(0,4),(0,5),(1,13),(1,16),(2,6),(2,14),(3,10),(3,11),(3,14),(4,9),(4,11),(4,14),(5,6),(5,9),(5,10),(6,15),(7,13),(7,16),(9,12),(9,15),(10,1),(10,12),(10,15),(11,7),(11,12),(12,13),(12,16),(13,8),(14,7),(14,15),(15,16),(16,8)],17) => 1
[4,6,5,3,2,1] => ([(0,2),(0,3),(0,5),(1,8),(1,12),(2,10),(3,6),(3,10),(4,1),(4,9),(4,11),(5,4),(5,6),(5,10),(6,9),(6,11),(8,7),(9,8),(9,12),(10,11),(11,12),(12,7)],13) => 1
[5,1,2,3,4,6] => ([(0,2),(0,3),(0,5),(1,8),(1,12),(2,10),(3,6),(3,10),(4,1),(4,9),(4,11),(5,4),(5,6),(5,10),(6,9),(6,11),(8,7),(9,8),(9,12),(10,11),(11,12),(12,7)],13) => 1
[5,1,2,3,6,4] => ([(0,2),(0,3),(0,4),(0,6),(1,15),(1,17),(2,12),(2,13),(3,7),(3,12),(4,8),(4,12),(4,13),(5,1),(5,10),(5,11),(5,14),(6,5),(6,7),(6,8),(6,13),(7,10),(7,16),(8,11),(8,14),(8,16),(10,15),(10,17),(11,15),(11,17),(12,16),(13,14),(13,16),(14,15),(14,17),(15,9),(16,17),(17,9)],18) => 1
[5,1,2,4,3,6] => ([(0,2),(0,3),(0,4),(0,5),(1,6),(1,16),(2,8),(2,10),(2,12),(3,8),(3,9),(3,11),(4,9),(4,10),(4,13),(5,1),(5,11),(5,12),(5,13),(6,17),(8,19),(9,14),(9,19),(10,15),(10,19),(11,14),(11,16),(11,19),(12,15),(12,16),(12,19),(13,6),(13,14),(13,15),(14,17),(14,18),(15,17),(15,18),(16,17),(16,18),(17,7),(18,7),(19,18)],20) => 1
[5,1,2,6,3,4] => ([(0,3),(0,4),(0,5),(0,6),(1,11),(1,18),(2,12),(2,17),(2,18),(3,7),(3,14),(4,1),(4,10),(4,13),(4,14),(5,2),(5,9),(5,13),(5,14),(6,7),(6,9),(6,10),(7,17),(9,15),(9,17),(10,15),(10,17),(10,18),(11,16),(11,19),(12,16),(12,19),(13,11),(13,12),(13,15),(13,18),(14,17),(14,18),(15,16),(15,19),(16,8),(17,19),(18,16),(18,19),(19,8)],20) => 1
[5,1,2,6,4,3] => ([(0,3),(0,4),(0,5),(0,6),(1,11),(1,16),(1,18),(2,12),(2,15),(3,9),(3,14),(4,8),(4,10),(4,14),(5,1),(5,8),(5,13),(5,14),(6,2),(6,9),(6,10),(6,13),(8,16),(8,18),(9,15),(9,17),(10,15),(10,17),(10,18),(11,19),(11,20),(12,19),(12,20),(13,11),(13,12),(13,17),(13,18),(14,16),(14,17),(15,19),(16,20),(17,19),(17,20),(18,19),(18,20),(19,7),(20,7)],21) => 1
[5,1,3,2,4,6] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,9),(1,12),(1,15),(2,10),(2,12),(2,16),(3,11),(3,13),(3,15),(3,16),(4,8),(4,10),(4,11),(4,15),(5,8),(5,9),(5,13),(5,16),(6,18),(6,19),(8,14),(8,17),(8,20),(9,17),(9,21),(10,20),(10,21),(11,14),(11,20),(12,21),(13,6),(13,14),(13,17),(14,19),(15,17),(15,20),(15,21),(16,6),(16,20),(16,21),(17,18),(17,19),(18,7),(19,7),(20,18),(20,19),(21,18)],22) => 1
[5,1,3,2,6,4] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(1,21),(1,22),(2,8),(2,10),(2,17),(3,12),(3,13),(3,15),(3,17),(4,11),(4,14),(4,15),(4,17),(5,8),(5,9),(5,13),(5,14),(6,9),(6,10),(6,11),(6,12),(8,19),(8,23),(9,1),(9,19),(9,20),(9,23),(10,18),(10,19),(11,18),(11,20),(12,18),(12,20),(12,23),(13,16),(13,23),(14,16),(14,20),(14,23),(15,16),(15,19),(15,20),(16,22),(17,18),(17,19),(17,23),(18,21),(19,21),(19,22),(20,21),(20,22),(21,7),(22,7),(23,21),(23,22)],24) => 1
[5,1,3,4,2,6] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,6),(1,8),(1,18),(2,11),(2,13),(2,14),(2,18),(3,10),(3,12),(3,14),(3,18),(4,8),(4,9),(4,12),(4,13),(5,6),(5,9),(5,10),(5,11),(6,23),(8,19),(8,23),(9,16),(9,17),(9,23),(10,16),(10,20),(10,23),(11,17),(11,20),(11,23),(12,15),(12,16),(12,19),(13,15),(13,17),(13,19),(14,15),(14,20),(15,22),(16,21),(16,22),(17,21),(17,22),(18,19),(18,20),(18,23),(19,21),(19,22),(20,21),(20,22),(21,7),(22,7),(23,21)],24) => 1
[5,1,4,2,3,6] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,17),(2,10),(2,11),(2,17),(3,8),(3,9),(3,13),(3,17),(4,7),(4,9),(4,10),(4,17),(5,7),(5,8),(5,11),(5,12),(7,15),(7,20),(7,21),(8,14),(8,15),(8,20),(9,15),(9,16),(9,21),(10,21),(11,20),(11,21),(12,14),(12,20),(13,14),(13,16),(14,19),(15,18),(15,19),(16,18),(16,19),(17,16),(17,20),(17,21),(18,6),(19,6),(20,18),(20,19),(21,18)],22) => 1
[5,1,4,3,2,6] => ([(0,1),(0,3),(0,4),(0,5),(1,6),(1,15),(2,7),(2,8),(2,13),(3,10),(3,12),(3,15),(4,2),(4,11),(4,12),(4,15),(5,6),(5,10),(5,11),(6,16),(7,17),(8,17),(8,18),(10,14),(10,16),(11,8),(11,14),(11,16),(12,7),(12,13),(12,14),(13,17),(13,18),(14,17),(14,18),(15,13),(15,16),(16,18),(17,9),(18,9)],19) => 1
[5,1,6,2,3,4] => ([(0,2),(0,3),(0,4),(0,6),(1,15),(1,17),(2,7),(2,14),(3,9),(3,14),(4,9),(4,10),(4,14),(5,1),(5,11),(5,12),(5,16),(6,5),(6,7),(6,10),(6,14),(7,11),(7,16),(9,13),(10,12),(10,13),(10,16),(11,15),(11,17),(12,15),(12,17),(13,17),(14,13),(14,16),(15,8),(16,15),(16,17),(17,8)],18) => 1
[5,1,6,2,4,3] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(1,21),(1,22),(2,11),(2,13),(2,18),(3,12),(3,14),(3,18),(4,8),(4,9),(4,13),(4,18),(5,8),(5,10),(5,14),(5,18),(6,9),(6,10),(6,11),(6,12),(8,17),(8,19),(9,15),(9,19),(9,20),(10,1),(10,16),(10,19),(10,20),(11,15),(11,20),(12,16),(12,20),(13,15),(13,19),(14,16),(14,17),(15,21),(16,21),(16,22),(17,22),(18,17),(18,19),(18,20),(19,21),(19,22),(20,21),(20,22),(21,7),(22,7)],23) => 1
[5,1,6,3,4,2] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(1,21),(1,22),(2,8),(2,10),(2,17),(3,12),(3,13),(3,15),(3,17),(4,11),(4,14),(4,15),(4,17),(5,8),(5,9),(5,13),(5,14),(6,9),(6,10),(6,11),(6,12),(8,19),(8,23),(9,1),(9,19),(9,20),(9,23),(10,18),(10,19),(11,18),(11,20),(12,18),(12,20),(12,23),(13,16),(13,23),(14,16),(14,20),(14,23),(15,16),(15,19),(15,20),(16,22),(17,18),(17,19),(17,23),(18,21),(19,21),(19,22),(20,21),(20,22),(21,7),(22,7),(23,21),(23,22)],24) => 1
[5,1,6,4,3,2] => ([(0,2),(0,3),(0,4),(0,6),(1,15),(1,17),(2,12),(2,13),(3,7),(3,12),(4,8),(4,12),(4,13),(5,1),(5,10),(5,11),(5,14),(6,5),(6,7),(6,8),(6,13),(7,10),(7,16),(8,11),(8,14),(8,16),(10,15),(10,17),(11,15),(11,17),(12,16),(13,14),(13,16),(14,15),(14,17),(15,9),(16,17),(17,9)],18) => 1
[5,2,1,3,4,6] => ([(0,2),(0,3),(0,4),(0,5),(1,10),(1,17),(2,7),(2,13),(3,9),(3,11),(3,13),(4,1),(4,8),(4,11),(4,13),(5,7),(5,8),(5,9),(7,16),(8,12),(8,16),(8,17),(9,12),(9,16),(10,14),(11,10),(11,12),(11,17),(12,14),(12,15),(13,16),(13,17),(14,6),(15,6),(16,15),(17,14),(17,15)],18) => 1
[5,2,1,4,3,6] => ([(0,1),(0,2),(0,3),(0,4),(1,10),(1,11),(1,12),(2,8),(2,9),(2,12),(3,6),(3,7),(3,9),(3,11),(4,6),(4,7),(4,8),(4,10),(6,14),(6,19),(7,13),(7,15),(7,19),(8,13),(8,19),(9,13),(9,16),(9,19),(10,14),(10,15),(10,19),(11,14),(11,15),(11,16),(12,16),(12,19),(13,17),(14,18),(15,17),(15,18),(16,17),(16,18),(17,5),(18,5),(19,17),(19,18)],20) => 1
[5,2,1,6,3,4] => ([(0,3),(0,4),(0,5),(0,6),(1,9),(1,18),(2,8),(2,19),(3,10),(3,11),(3,13),(4,11),(4,12),(4,14),(5,2),(5,12),(5,13),(5,15),(6,1),(6,10),(6,14),(6,15),(8,20),(8,21),(9,20),(10,17),(10,18),(11,16),(11,18),(12,16),(12,19),(13,16),(13,17),(13,19),(14,9),(14,18),(14,19),(15,8),(15,17),(15,18),(15,19),(16,21),(17,20),(17,21),(18,20),(18,21),(19,20),(19,21),(20,7),(21,7)],22) => 1
[5,2,1,6,4,3] => ([(0,3),(0,4),(0,5),(0,6),(1,12),(1,19),(2,16),(2,19),(3,8),(3,13),(4,7),(4,9),(4,13),(5,2),(5,9),(5,10),(5,13),(6,1),(6,7),(6,8),(6,10),(7,14),(7,17),(7,19),(8,17),(8,19),(9,14),(9,16),(9,19),(10,12),(10,14),(10,16),(10,17),(12,15),(12,18),(13,16),(13,17),(14,15),(14,18),(15,11),(16,15),(16,18),(17,15),(17,18),(18,11),(19,18)],20) => 1
[5,2,3,1,4,6] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,9),(1,12),(1,15),(2,10),(2,12),(2,16),(3,11),(3,13),(3,15),(3,16),(4,8),(4,10),(4,11),(4,15),(5,8),(5,9),(5,13),(5,16),(6,18),(6,19),(8,14),(8,17),(8,20),(9,17),(9,21),(10,20),(10,21),(11,14),(11,20),(12,21),(13,6),(13,14),(13,17),(14,19),(15,17),(15,20),(15,21),(16,6),(16,20),(16,21),(17,18),(17,19),(18,7),(19,7),(20,18),(20,19),(21,18)],22) => 1
[5,2,3,4,1,6] => ([(0,2),(0,3),(0,4),(0,5),(1,6),(1,16),(2,8),(2,10),(2,12),(3,8),(3,9),(3,11),(4,9),(4,10),(4,13),(5,1),(5,11),(5,12),(5,13),(6,17),(8,19),(9,14),(9,19),(10,15),(10,19),(11,14),(11,16),(11,19),(12,15),(12,16),(12,19),(13,6),(13,14),(13,15),(14,17),(14,18),(15,17),(15,18),(16,17),(16,18),(17,7),(18,7),(19,18)],20) => 1
[5,2,3,4,6,1] => ([(0,1),(0,3),(0,4),(0,5),(1,6),(1,15),(2,7),(2,8),(2,13),(3,10),(3,12),(3,15),(4,2),(4,11),(4,12),(4,15),(5,6),(5,10),(5,11),(6,16),(7,17),(8,17),(8,18),(10,14),(10,16),(11,8),(11,14),(11,16),(12,7),(12,13),(12,14),(13,17),(13,18),(14,17),(14,18),(15,13),(15,16),(16,18),(17,9),(18,9)],19) => 1
[5,2,4,3,1,6] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,6),(1,19),(2,10),(2,12),(2,13),(2,19),(3,9),(3,11),(3,13),(3,19),(4,8),(4,11),(4,12),(4,19),(5,6),(5,8),(5,9),(5,10),(6,20),(8,15),(8,16),(8,20),(9,15),(9,17),(9,20),(10,16),(10,17),(10,20),(11,14),(11,15),(11,18),(12,14),(12,16),(12,18),(13,14),(13,17),(13,18),(14,22),(15,21),(15,22),(16,21),(16,22),(17,21),(17,22),(18,21),(18,22),(19,18),(19,20),(20,21),(21,7),(22,7)],23) => 1
[5,2,4,3,6,1] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,6),(1,8),(1,18),(2,11),(2,13),(2,14),(2,18),(3,10),(3,12),(3,14),(3,18),(4,8),(4,9),(4,12),(4,13),(5,6),(5,9),(5,10),(5,11),(6,23),(8,19),(8,23),(9,16),(9,17),(9,23),(10,16),(10,20),(10,23),(11,17),(11,20),(11,23),(12,15),(12,16),(12,19),(13,15),(13,17),(13,19),(14,15),(14,20),(15,22),(16,21),(16,22),(17,21),(17,22),(18,19),(18,20),(18,23),(19,21),(19,22),(20,21),(20,22),(21,7),(22,7),(23,21)],24) => 1
[5,2,6,1,3,4] => ([(0,1),(0,3),(0,4),(0,5),(0,6),(1,16),(1,18),(2,7),(2,17),(2,19),(3,11),(3,12),(3,16),(3,18),(4,10),(4,13),(4,18),(5,9),(5,10),(5,12),(5,18),(6,2),(6,9),(6,11),(6,13),(6,16),(7,20),(9,15),(9,17),(9,19),(9,22),(10,14),(10,19),(11,15),(11,17),(11,19),(11,22),(12,14),(12,15),(12,22),(13,7),(13,19),(13,22),(14,21),(15,20),(15,21),(16,17),(16,22),(17,20),(17,21),(18,14),(18,22),(19,20),(19,21),(20,8),(21,8),(22,20),(22,21)],23) => 1
[5,2,6,1,4,3] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(1,17),(1,18),(1,21),(2,11),(2,13),(2,15),(3,12),(3,14),(3,15),(4,8),(4,10),(4,12),(4,15),(5,9),(5,10),(5,13),(5,15),(6,1),(6,8),(6,9),(6,11),(6,14),(8,17),(8,18),(8,19),(8,20),(9,17),(9,18),(9,19),(9,20),(10,20),(10,21),(11,17),(11,19),(12,18),(12,20),(13,17),(13,21),(14,18),(14,19),(14,21),(15,19),(15,20),(15,21),(16,7),(17,16),(17,22),(18,16),(18,22),(19,16),(19,22),(20,16),(20,22),(21,22),(22,7)],23) => 1
[5,2,6,4,3,1] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(1,12),(1,20),(1,21),(2,13),(2,14),(3,8),(3,13),(3,15),(4,9),(4,10),(4,13),(4,15),(5,7),(5,8),(5,9),(5,14),(6,1),(6,7),(6,10),(6,14),(6,15),(7,12),(7,16),(7,18),(7,20),(8,18),(8,21),(9,16),(9,18),(9,21),(10,16),(10,20),(10,21),(12,17),(12,19),(13,21),(14,20),(14,21),(15,18),(15,20),(15,21),(16,17),(16,19),(17,11),(18,17),(18,19),(19,11),(20,17),(20,19),(21,19)],22) => 1
[5,3,1,2,4,6] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,10),(1,11),(1,19),(2,9),(2,12),(2,19),(3,8),(3,12),(3,19),(4,6),(4,8),(4,10),(4,19),(5,6),(5,9),(5,11),(5,19),(6,13),(6,17),(6,18),(8,16),(8,17),(9,16),(9,18),(10,13),(10,17),(11,13),(11,18),(12,16),(13,15),(14,7),(15,7),(16,14),(17,14),(17,15),(18,14),(18,15),(19,16),(19,17),(19,18)],20) => 1
[5,3,1,2,6,4] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(1,21),(1,22),(2,11),(2,13),(2,18),(3,12),(3,14),(3,18),(4,8),(4,9),(4,13),(4,18),(5,8),(5,10),(5,14),(5,18),(6,9),(6,10),(6,11),(6,12),(8,17),(8,19),(9,15),(9,19),(9,20),(10,1),(10,16),(10,19),(10,20),(11,15),(11,20),(12,16),(12,20),(13,15),(13,19),(14,16),(14,17),(15,21),(16,21),(16,22),(17,22),(18,17),(18,19),(18,20),(19,21),(19,22),(20,21),(20,22),(21,7),(22,7)],23) => 1
[5,3,2,1,4,6] => ([(0,1),(0,2),(0,4),(0,5),(1,9),(1,16),(2,10),(2,16),(3,6),(3,7),(3,15),(4,9),(4,11),(4,16),(5,3),(5,10),(5,11),(5,16),(6,13),(7,13),(7,14),(9,12),(10,6),(10,15),(11,7),(11,12),(11,15),(12,14),(13,8),(14,8),(15,13),(15,14),(16,12),(16,15)],17) => 1
[5,3,2,1,6,4] => ([(0,2),(0,3),(0,4),(0,6),(1,15),(1,17),(2,7),(2,14),(3,9),(3,14),(4,9),(4,10),(4,14),(5,1),(5,11),(5,12),(5,16),(6,5),(6,7),(6,10),(6,14),(7,11),(7,16),(9,13),(10,12),(10,13),(10,16),(11,15),(11,17),(12,15),(12,17),(13,17),(14,13),(14,16),(15,8),(16,15),(16,17),(17,8)],18) => 1
[5,3,2,4,1,6] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,6),(1,17),(2,9),(2,11),(2,13),(2,17),(3,8),(3,11),(3,12),(3,17),(4,10),(4,12),(4,13),(4,17),(5,6),(5,8),(5,9),(5,10),(6,20),(8,15),(8,20),(8,21),(9,16),(9,20),(9,21),(10,15),(10,16),(10,20),(11,14),(11,21),(12,14),(12,15),(12,21),(13,14),(13,16),(13,21),(14,19),(15,18),(15,19),(16,18),(16,19),(17,20),(17,21),(18,7),(19,7),(20,18),(21,18),(21,19)],22) => 1
[5,3,2,4,6,1] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,17),(2,10),(2,11),(2,17),(3,8),(3,9),(3,13),(3,17),(4,7),(4,9),(4,10),(4,17),(5,7),(5,8),(5,11),(5,12),(7,15),(7,20),(7,21),(8,14),(8,15),(8,20),(9,15),(9,16),(9,21),(10,21),(11,20),(11,21),(12,14),(12,20),(13,14),(13,16),(14,19),(15,18),(15,19),(16,18),(16,19),(17,16),(17,20),(17,21),(18,6),(19,6),(20,18),(20,19),(21,18)],22) => 1
[5,3,2,6,1,4] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(1,18),(1,19),(2,7),(2,13),(2,15),(3,7),(3,12),(3,15),(4,8),(4,9),(4,12),(4,15),(5,8),(5,10),(5,13),(5,15),(6,1),(6,9),(6,10),(6,12),(6,13),(7,17),(8,14),(8,21),(9,14),(9,18),(9,19),(9,21),(10,14),(10,18),(10,19),(10,21),(12,17),(12,18),(12,21),(13,17),(13,19),(13,21),(14,16),(14,20),(15,17),(15,21),(16,11),(17,20),(18,16),(18,20),(19,16),(19,20),(20,11),(21,16),(21,20)],22) => 1
[5,3,2,6,4,1] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(1,20),(1,22),(2,13),(2,14),(2,17),(3,11),(3,12),(3,17),(4,8),(4,9),(4,11),(4,17),(5,1),(5,8),(5,10),(5,14),(5,17),(6,9),(6,10),(6,12),(6,13),(8,15),(8,20),(8,22),(9,15),(9,19),(9,22),(10,15),(10,16),(10,19),(10,20),(11,22),(12,19),(12,22),(13,16),(13,19),(14,16),(14,20),(14,22),(15,18),(15,21),(16,18),(16,21),(17,19),(17,20),(17,22),(18,7),(19,18),(19,21),(20,18),(20,21),(21,7),(22,21)],23) => 1
[5,3,4,1,2,6] => ([(0,1),(0,2),(0,3),(0,4),(1,9),(1,10),(1,15),(2,8),(2,11),(2,15),(3,7),(3,8),(3,9),(4,7),(4,10),(4,11),(4,15),(5,17),(7,12),(7,13),(7,16),(8,13),(8,16),(9,12),(9,16),(10,12),(10,14),(11,5),(11,13),(11,14),(12,18),(13,17),(13,18),(14,17),(14,18),(15,5),(15,14),(15,16),(16,17),(16,18),(17,6),(18,6)],19) => 1
[5,3,4,1,6,2] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(1,21),(1,22),(2,8),(2,10),(2,17),(3,12),(3,13),(3,15),(3,17),(4,11),(4,14),(4,15),(4,17),(5,8),(5,9),(5,13),(5,14),(6,9),(6,10),(6,11),(6,12),(8,19),(8,23),(9,1),(9,19),(9,20),(9,23),(10,18),(10,19),(11,18),(11,20),(12,18),(12,20),(12,23),(13,16),(13,23),(14,16),(14,20),(14,23),(15,16),(15,19),(15,20),(16,22),(17,18),(17,19),(17,23),(18,21),(19,21),(19,22),(20,21),(20,22),(21,7),(22,7),(23,21),(23,22)],24) => 1
[5,3,4,2,1,6] => ([(0,1),(0,3),(0,4),(0,5),(1,6),(1,15),(2,7),(2,8),(2,13),(3,10),(3,12),(3,15),(4,2),(4,11),(4,12),(4,15),(5,6),(5,10),(5,11),(6,16),(7,17),(8,17),(8,18),(10,14),(10,16),(11,8),(11,14),(11,16),(12,7),(12,13),(12,14),(13,17),(13,18),(14,17),(14,18),(15,13),(15,16),(16,18),(17,9),(18,9)],19) => 1
[5,3,4,2,6,1] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,9),(1,12),(1,15),(2,10),(2,12),(2,16),(3,11),(3,13),(3,15),(3,16),(4,8),(4,10),(4,11),(4,15),(5,8),(5,9),(5,13),(5,16),(6,18),(6,19),(8,14),(8,17),(8,20),(9,17),(9,21),(10,20),(10,21),(11,14),(11,20),(12,21),(13,6),(13,14),(13,17),(14,19),(15,17),(15,20),(15,21),(16,6),(16,20),(16,21),(17,18),(17,19),(18,7),(19,7),(20,18),(20,19),(21,18)],22) => 1
[5,3,4,6,1,2] => ([(0,1),(0,3),(0,4),(0,5),(1,11),(1,14),(2,6),(2,8),(2,15),(3,10),(3,12),(3,14),(4,9),(4,10),(4,14),(5,2),(5,9),(5,11),(5,12),(6,17),(6,18),(8,17),(9,13),(9,15),(9,16),(10,13),(10,15),(11,8),(11,16),(12,6),(12,13),(12,16),(13,18),(14,15),(14,16),(15,17),(15,18),(16,17),(16,18),(17,7),(18,7)],19) => 1
[5,3,4,6,2,1] => ([(0,1),(0,2),(0,3),(0,5),(1,11),(1,14),(2,10),(2,13),(2,14),(3,10),(3,12),(3,14),(4,7),(4,8),(4,9),(5,4),(5,11),(5,12),(5,13),(7,17),(8,17),(8,18),(9,17),(9,18),(10,15),(11,7),(11,16),(12,8),(12,15),(12,16),(13,9),(13,15),(13,16),(14,15),(14,16),(15,18),(16,17),(16,18),(17,6),(18,6)],19) => 1
[5,3,6,1,2,4] => ([(0,1),(0,3),(0,4),(0,5),(0,6),(1,16),(1,18),(2,8),(2,17),(2,19),(2,22),(3,11),(3,12),(3,18),(4,13),(4,14),(4,16),(4,18),(5,10),(5,11),(5,13),(5,16),(6,2),(6,10),(6,12),(6,14),(6,18),(7,20),(8,20),(8,21),(10,15),(10,19),(10,22),(11,15),(11,22),(12,15),(12,17),(12,19),(13,7),(13,19),(13,22),(14,8),(14,17),(14,19),(14,22),(15,21),(16,7),(16,22),(17,20),(17,21),(18,17),(18,22),(19,20),(19,21),(20,9),(21,9),(22,20),(22,21)],23) => 1
[5,3,6,2,1,4] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(1,8),(1,15),(1,18),(1,20),(2,9),(2,14),(2,16),(3,11),(3,12),(3,16),(4,10),(4,11),(4,14),(5,12),(5,13),(5,14),(5,16),(6,1),(6,9),(6,10),(6,13),(6,16),(8,17),(8,21),(9,15),(9,20),(10,18),(10,19),(10,20),(11,19),(12,18),(12,19),(13,8),(13,15),(13,18),(13,20),(14,19),(14,20),(15,17),(15,21),(16,15),(16,18),(16,19),(17,7),(18,17),(18,21),(19,21),(20,17),(20,21),(21,7)],22) => 1
[5,3,6,2,4,1] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,9),(1,16),(1,20),(2,8),(2,16),(2,17),(3,9),(3,10),(3,17),(3,20),(4,12),(4,13),(4,16),(4,17),(4,20),(5,11),(5,13),(5,16),(5,17),(5,20),(6,8),(6,10),(6,11),(6,12),(6,20),(8,19),(8,23),(9,22),(10,15),(10,19),(10,22),(11,14),(11,15),(11,19),(11,23),(12,14),(12,15),(12,19),(12,23),(13,14),(13,22),(13,23),(14,18),(14,21),(15,18),(15,21),(16,22),(16,23),(17,19),(17,22),(17,23),(18,7),(19,18),(19,21),(20,15),(20,22),(20,23),(21,7),(22,21),(23,18),(23,21)],24) => 1
[5,3,6,4,1,2] => ([(0,1),(0,2),(0,3),(0,4),(0,6),(1,10),(1,15),(1,16),(2,11),(2,15),(2,16),(3,13),(3,15),(3,16),(4,12),(4,15),(4,16),(5,8),(5,9),(5,14),(5,20),(6,5),(6,10),(6,11),(6,12),(6,13),(8,17),(8,19),(9,17),(9,19),(10,18),(10,20),(11,14),(11,18),(11,20),(12,8),(12,18),(12,20),(13,9),(13,18),(13,20),(14,17),(14,19),(15,14),(15,20),(16,14),(16,18),(17,7),(18,19),(19,7),(20,17),(20,19)],21) => 1
[5,3,6,4,2,1] => ([(0,1),(0,2),(0,3),(0,4),(0,6),(1,14),(1,18),(2,13),(2,14),(2,18),(3,12),(3,14),(3,18),(4,11),(4,14),(4,18),(5,8),(5,9),(5,10),(5,16),(6,5),(6,11),(6,12),(6,13),(6,18),(8,15),(8,19),(9,15),(9,19),(10,15),(10,19),(11,8),(11,16),(11,17),(12,9),(12,16),(12,17),(13,10),(13,16),(13,17),(14,17),(15,7),(16,15),(16,19),(17,19),(18,16),(18,17),(19,7)],20) => 1
[5,4,1,2,3,6] => ([(0,3),(0,4),(0,5),(1,13),(2,6),(2,8),(3,9),(3,10),(4,2),(4,10),(4,11),(5,1),(5,9),(5,11),(6,14),(6,15),(8,14),(9,12),(9,13),(10,8),(10,12),(11,6),(11,12),(11,13),(12,14),(12,15),(13,15),(14,7),(15,7)],16) => 1
[5,4,1,2,6,3] => ([(0,3),(0,4),(0,5),(0,6),(1,11),(1,16),(1,18),(2,12),(2,15),(3,9),(3,14),(4,8),(4,10),(4,14),(5,1),(5,8),(5,13),(5,14),(6,2),(6,9),(6,10),(6,13),(8,16),(8,18),(9,15),(9,17),(10,15),(10,17),(10,18),(11,19),(11,20),(12,19),(12,20),(13,11),(13,12),(13,17),(13,18),(14,16),(14,17),(15,19),(16,20),(17,19),(17,20),(18,19),(18,20),(19,7),(20,7)],21) => 1
[5,4,1,3,2,6] => ([(0,1),(0,3),(0,4),(0,5),(1,6),(1,15),(2,7),(2,8),(2,13),(3,10),(3,12),(3,15),(4,2),(4,11),(4,12),(4,15),(5,6),(5,10),(5,11),(6,16),(7,17),(8,17),(8,18),(10,14),(10,16),(11,8),(11,14),(11,16),(12,7),(12,13),(12,14),(13,17),(13,18),(14,17),(14,18),(15,13),(15,16),(16,18),(17,9),(18,9)],19) => 1
[5,4,1,6,2,3] => ([(0,2),(0,4),(0,5),(0,6),(1,14),(1,16),(2,12),(2,17),(3,7),(3,8),(3,18),(4,10),(4,11),(4,17),(5,1),(5,11),(5,13),(5,17),(6,3),(6,10),(6,12),(6,13),(7,19),(7,20),(8,19),(10,15),(10,18),(11,14),(11,15),(11,16),(12,8),(12,18),(13,7),(13,15),(13,16),(13,18),(14,20),(15,19),(15,20),(16,19),(16,20),(17,14),(17,18),(18,19),(18,20),(19,9),(20,9)],21) => 1
[5,4,1,6,3,2] => ([(0,3),(0,4),(0,5),(0,6),(1,17),(1,20),(2,16),(2,20),(3,8),(3,10),(3,11),(4,8),(4,9),(4,12),(5,2),(5,9),(5,11),(5,13),(6,1),(6,10),(6,12),(6,13),(8,20),(9,15),(9,20),(10,14),(10,20),(11,14),(11,16),(11,20),(12,15),(12,17),(12,20),(13,14),(13,15),(13,16),(13,17),(14,18),(14,19),(15,18),(15,19),(16,18),(16,19),(17,18),(17,19),(18,7),(19,7),(20,19)],21) => 1
[5,4,2,1,3,6] => ([(0,2),(0,3),(0,4),(0,5),(1,10),(1,17),(2,7),(2,13),(3,9),(3,11),(3,13),(4,1),(4,8),(4,11),(4,13),(5,7),(5,8),(5,9),(7,16),(8,12),(8,16),(8,17),(9,12),(9,16),(10,14),(11,10),(11,12),(11,17),(12,14),(12,15),(13,16),(13,17),(14,6),(15,6),(16,15),(17,14),(17,15)],18) => 1
[5,4,2,1,6,3] => ([(0,3),(0,4),(0,5),(0,6),(1,11),(1,18),(2,12),(2,17),(2,18),(3,7),(3,14),(4,1),(4,10),(4,13),(4,14),(5,2),(5,9),(5,13),(5,14),(6,7),(6,9),(6,10),(7,17),(9,15),(9,17),(10,15),(10,17),(10,18),(11,16),(11,19),(12,16),(12,19),(13,11),(13,12),(13,15),(13,18),(14,17),(14,18),(15,16),(15,19),(16,8),(17,19),(18,16),(18,19),(19,8)],20) => 1
[5,4,2,3,1,6] => ([(0,1),(0,3),(0,4),(0,5),(1,6),(1,15),(2,7),(2,8),(2,13),(3,10),(3,12),(3,15),(4,2),(4,11),(4,12),(4,15),(5,6),(5,10),(5,11),(6,16),(7,17),(8,17),(8,18),(10,14),(10,16),(11,8),(11,14),(11,16),(12,7),(12,13),(12,14),(13,17),(13,18),(14,17),(14,18),(15,13),(15,16),(16,18),(17,9),(18,9)],19) => 1
[5,4,2,3,6,1] => ([(0,2),(0,3),(0,4),(0,5),(1,6),(1,16),(2,8),(2,10),(2,12),(3,8),(3,9),(3,11),(4,9),(4,10),(4,13),(5,1),(5,11),(5,12),(5,13),(6,17),(8,19),(9,14),(9,19),(10,15),(10,19),(11,14),(11,16),(11,19),(12,15),(12,16),(12,19),(13,6),(13,14),(13,15),(14,17),(14,18),(15,17),(15,18),(16,17),(16,18),(17,7),(18,7),(19,18)],20) => 1
[5,4,2,6,1,3] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(1,8),(1,15),(1,18),(1,20),(2,9),(2,14),(2,16),(3,11),(3,12),(3,16),(4,10),(4,11),(4,14),(5,12),(5,13),(5,14),(5,16),(6,1),(6,9),(6,10),(6,13),(6,16),(8,17),(8,21),(9,15),(9,20),(10,18),(10,19),(10,20),(11,19),(12,18),(12,19),(13,8),(13,15),(13,18),(13,20),(14,19),(14,20),(15,17),(15,21),(16,15),(16,18),(16,19),(17,7),(18,17),(18,21),(19,21),(20,17),(20,21),(21,7)],22) => 1
[5,4,2,6,3,1] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(1,8),(1,19),(1,21),(2,12),(2,16),(2,17),(3,11),(3,16),(3,17),(4,9),(4,10),(4,16),(5,9),(5,12),(5,13),(5,17),(6,1),(6,10),(6,11),(6,13),(6,17),(8,18),(8,20),(9,14),(9,21),(10,14),(10,19),(10,21),(11,19),(11,21),(12,15),(12,21),(13,8),(13,14),(13,15),(13,19),(14,18),(14,20),(15,18),(15,20),(16,21),(17,15),(17,19),(17,21),(18,7),(19,18),(19,20),(20,7),(21,20)],22) => 1
[5,4,3,1,2,6] => ([(0,3),(0,4),(0,5),(1,14),(2,1),(2,6),(2,7),(3,9),(3,11),(4,9),(4,10),(5,2),(5,10),(5,11),(6,13),(6,14),(7,13),(7,14),(9,12),(10,6),(10,12),(11,7),(11,12),(12,13),(13,8),(14,8)],15) => 1
[5,4,3,1,6,2] => ([(0,2),(0,3),(0,4),(0,6),(1,15),(1,17),(2,12),(2,13),(3,7),(3,12),(4,8),(4,12),(4,13),(5,1),(5,10),(5,11),(5,14),(6,5),(6,7),(6,8),(6,13),(7,10),(7,16),(8,11),(8,14),(8,16),(10,15),(10,17),(11,15),(11,17),(12,16),(13,14),(13,16),(14,15),(14,17),(15,9),(16,17),(17,9)],18) => 1
[5,4,3,2,1,6] => ([(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
[5,4,3,2,6,1] => ([(0,2),(0,3),(0,5),(1,8),(1,12),(2,10),(3,6),(3,10),(4,1),(4,9),(4,11),(5,4),(5,6),(5,10),(6,9),(6,11),(8,7),(9,8),(9,12),(10,11),(11,12),(12,7)],13) => 1
[5,4,3,6,1,2] => ([(0,3),(0,4),(0,5),(1,8),(1,14),(2,6),(2,7),(3,10),(3,11),(4,2),(4,11),(4,12),(5,1),(5,10),(5,12),(6,13),(6,15),(7,13),(7,15),(8,13),(8,15),(10,14),(11,7),(11,14),(12,6),(12,8),(12,14),(13,9),(14,15),(15,9)],16) => 1
[5,4,3,6,2,1] => ([(0,3),(0,4),(0,5),(1,9),(1,13),(2,8),(2,13),(3,11),(4,2),(4,6),(4,11),(5,1),(5,6),(5,11),(6,8),(6,9),(6,13),(8,10),(8,12),(9,10),(9,12),(10,7),(11,13),(12,7),(13,12)],14) => 1
[5,4,6,1,2,3] => ([(0,3),(0,4),(0,6),(1,14),(2,14),(2,15),(3,8),(3,12),(4,9),(4,12),(5,2),(5,10),(5,11),(6,5),(6,8),(6,9),(8,11),(8,13),(9,10),(9,13),(10,15),(11,14),(11,15),(12,1),(12,13),(13,14),(13,15),(14,7),(15,7)],16) => 1
[5,4,6,1,3,2] => ([(0,3),(0,4),(0,5),(0,6),(1,16),(1,18),(2,16),(2,18),(3,10),(3,11),(3,13),(4,9),(4,12),(4,13),(5,8),(5,9),(5,11),(6,8),(6,10),(6,12),(8,17),(9,14),(9,17),(10,15),(10,17),(11,2),(11,14),(11,17),(12,1),(12,15),(12,17),(13,14),(13,15),(14,16),(14,18),(15,16),(15,18),(16,7),(17,18),(18,7)],19) => 1
[5,4,6,2,1,3] => ([(0,1),(0,2),(0,3),(0,4),(1,9),(1,10),(1,12),(2,8),(2,10),(2,11),(3,7),(3,8),(3,12),(4,7),(4,9),(4,11),(5,15),(5,16),(7,17),(8,13),(8,17),(9,14),(9,17),(10,13),(10,14),(11,5),(11,14),(11,17),(12,5),(12,13),(12,17),(13,15),(13,16),(14,15),(14,16),(15,6),(16,6),(17,16)],18) => 1
[5,4,6,2,3,1] => ([(0,2),(0,3),(0,4),(0,5),(1,14),(1,16),(2,7),(2,8),(2,9),(3,7),(3,10),(3,12),(4,8),(4,11),(4,12),(5,9),(5,10),(5,11),(7,17),(8,15),(8,17),(9,1),(9,15),(9,17),(10,13),(10,17),(11,13),(11,15),(12,13),(12,15),(12,17),(13,14),(13,16),(14,6),(15,14),(15,16),(16,6),(17,16)],18) => 1
[5,4,6,3,1,2] => ([(0,2),(0,3),(0,4),(0,5),(1,13),(1,16),(2,6),(2,14),(3,10),(3,11),(3,14),(4,9),(4,11),(4,14),(5,6),(5,9),(5,10),(6,15),(7,13),(7,16),(9,12),(9,15),(10,1),(10,12),(10,15),(11,7),(11,12),(12,13),(12,16),(13,8),(14,7),(14,15),(15,16),(16,8)],17) => 1
[5,4,6,3,2,1] => ([(0,2),(0,3),(0,5),(1,8),(1,12),(2,10),(3,6),(3,10),(4,1),(4,9),(4,11),(5,4),(5,6),(5,10),(6,9),(6,11),(8,7),(9,8),(9,12),(10,11),(11,12),(12,7)],13) => 1
[5,6,1,2,3,4] => ([(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) => 1
[5,6,1,2,4,3] => ([(0,3),(0,4),(0,5),(1,6),(1,9),(2,7),(2,8),(3,1),(3,11),(3,13),(4,2),(4,12),(4,13),(5,11),(5,12),(6,15),(7,16),(8,15),(8,16),(9,15),(9,16),(11,9),(11,14),(12,7),(12,14),(13,6),(13,8),(13,14),(14,15),(14,16),(15,10),(16,10)],17) => 1
[5,6,1,3,2,4] => ([(0,1),(0,2),(0,3),(0,5),(1,11),(1,16),(2,13),(2,14),(2,16),(3,12),(3,14),(3,16),(4,7),(4,8),(4,9),(5,4),(5,11),(5,12),(5,13),(6,18),(6,19),(7,18),(8,18),(8,19),(9,18),(9,19),(11,7),(11,17),(12,8),(12,15),(12,17),(13,9),(13,15),(13,17),(14,6),(14,15),(15,19),(16,6),(16,17),(17,18),(17,19),(18,10),(19,10)],20) => 1
[5,6,1,3,4,2] => ([(0,1),(0,3),(0,4),(0,5),(1,11),(1,14),(2,6),(2,8),(2,15),(3,10),(3,12),(3,14),(4,9),(4,10),(4,14),(5,2),(5,9),(5,11),(5,12),(6,17),(6,18),(8,17),(9,13),(9,15),(9,16),(10,13),(10,15),(11,8),(11,16),(12,6),(12,13),(12,16),(13,18),(14,15),(14,16),(15,17),(15,18),(16,17),(16,18),(17,7),(18,7)],19) => 1
[5,6,1,4,2,3] => ([(0,1),(0,3),(0,4),(0,5),(1,11),(1,15),(2,6),(2,8),(2,18),(3,12),(3,13),(3,15),(4,10),(4,13),(4,15),(5,2),(5,10),(5,11),(5,12),(6,16),(6,17),(7,16),(7,17),(8,16),(10,14),(10,18),(11,8),(11,18),(12,6),(12,14),(12,18),(13,7),(13,14),(14,17),(15,7),(15,18),(16,9),(17,9),(18,16),(18,17)],19) => 1
[5,6,1,4,3,2] => ([(0,3),(0,4),(0,5),(1,8),(1,14),(2,6),(2,7),(3,10),(3,11),(4,2),(4,11),(4,12),(5,1),(5,10),(5,12),(6,13),(6,15),(7,13),(7,15),(8,13),(8,15),(10,14),(11,7),(11,14),(12,6),(12,8),(12,14),(13,9),(14,15),(15,9)],16) => 1
[5,6,2,1,3,4] => ([(0,3),(0,4),(0,5),(1,6),(1,9),(2,7),(2,8),(3,1),(3,11),(3,13),(4,2),(4,12),(4,13),(5,11),(5,12),(6,15),(7,16),(8,15),(8,16),(9,15),(9,16),(11,9),(11,14),(12,7),(12,14),(13,6),(13,8),(13,14),(14,15),(14,16),(15,10),(16,10)],17) => 1
[5,6,2,1,4,3] => ([(0,2),(0,3),(0,4),(1,7),(1,8),(2,1),(2,11),(2,12),(3,9),(3,10),(3,12),(4,9),(4,10),(4,11),(5,15),(5,16),(7,15),(7,16),(8,15),(8,16),(9,5),(9,13),(10,5),(10,14),(11,7),(11,13),(11,14),(12,8),(12,13),(12,14),(13,16),(14,15),(14,16),(15,6),(16,6)],17) => 1
[5,6,2,3,1,4] => ([(0,1),(0,3),(0,4),(0,5),(1,11),(1,14),(2,6),(2,8),(2,15),(3,10),(3,12),(3,14),(4,9),(4,10),(4,14),(5,2),(5,9),(5,11),(5,12),(6,17),(6,18),(8,17),(9,13),(9,15),(9,16),(10,13),(10,15),(11,8),(11,16),(12,6),(12,13),(12,16),(13,18),(14,15),(14,16),(15,17),(15,18),(16,17),(16,18),(17,7),(18,7)],19) => 1
[5,6,2,3,4,1] => ([(0,3),(0,4),(0,5),(1,6),(1,15),(2,7),(2,15),(3,9),(3,10),(4,1),(4,9),(4,11),(5,2),(5,10),(5,11),(6,13),(7,14),(9,12),(9,15),(10,7),(10,12),(11,6),(11,12),(11,15),(12,13),(12,14),(13,8),(14,8),(15,13),(15,14)],16) => 1
[5,6,2,4,1,3] => ([(0,1),(0,2),(0,3),(0,4),(0,6),(1,10),(1,15),(1,16),(2,11),(2,15),(2,16),(3,13),(3,15),(3,16),(4,12),(4,15),(4,16),(5,8),(5,9),(5,14),(5,20),(6,5),(6,10),(6,11),(6,12),(6,13),(8,17),(8,19),(9,17),(9,19),(10,18),(10,20),(11,14),(11,18),(11,20),(12,8),(12,18),(12,20),(13,9),(13,18),(13,20),(14,17),(14,19),(15,14),(15,20),(16,14),(16,18),(17,7),(18,19),(19,7),(20,17),(20,19)],21) => 1
[5,6,2,4,3,1] => ([(0,2),(0,3),(0,4),(0,5),(1,10),(1,15),(1,17),(2,7),(2,13),(3,8),(3,9),(3,13),(4,8),(4,11),(4,13),(5,1),(5,7),(5,9),(5,11),(7,17),(8,12),(8,15),(9,12),(9,15),(9,17),(10,14),(10,16),(11,10),(11,12),(11,17),(12,14),(12,16),(13,15),(13,17),(14,6),(15,14),(15,16),(16,6),(17,16)],18) => 1
[5,6,3,1,2,4] => ([(0,1),(0,3),(0,4),(0,5),(1,11),(1,15),(2,6),(2,8),(2,18),(3,12),(3,13),(3,15),(4,10),(4,13),(4,15),(5,2),(5,10),(5,11),(5,12),(6,16),(6,17),(7,16),(7,17),(8,16),(10,14),(10,18),(11,8),(11,18),(12,6),(12,14),(12,18),(13,7),(13,14),(14,17),(15,7),(15,18),(16,9),(17,9),(18,16),(18,17)],19) => 1
[5,6,3,1,4,2] => ([(0,1),(0,2),(0,3),(0,4),(0,6),(1,10),(1,15),(1,16),(2,11),(2,15),(2,16),(3,13),(3,15),(3,16),(4,12),(4,15),(4,16),(5,8),(5,9),(5,14),(5,20),(6,5),(6,10),(6,11),(6,12),(6,13),(8,17),(8,19),(9,17),(9,19),(10,18),(10,20),(11,14),(11,18),(11,20),(12,8),(12,18),(12,20),(13,9),(13,18),(13,20),(14,17),(14,19),(15,14),(15,20),(16,14),(16,18),(17,7),(18,19),(19,7),(20,17),(20,19)],21) => 1
[5,6,3,2,1,4] => ([(0,3),(0,4),(0,5),(1,8),(1,14),(2,6),(2,7),(3,10),(3,11),(4,2),(4,11),(4,12),(5,1),(5,10),(5,12),(6,13),(6,15),(7,13),(7,15),(8,13),(8,15),(10,14),(11,7),(11,14),(12,6),(12,8),(12,14),(13,9),(14,15),(15,9)],16) => 1
[5,6,3,2,4,1] => ([(0,2),(0,3),(0,4),(0,5),(1,10),(1,15),(1,17),(2,7),(2,13),(3,8),(3,9),(3,13),(4,8),(4,11),(4,13),(5,1),(5,7),(5,9),(5,11),(7,17),(8,12),(8,15),(9,12),(9,15),(9,17),(10,14),(10,16),(11,10),(11,12),(11,17),(12,14),(12,16),(13,15),(13,17),(14,6),(15,14),(15,16),(16,6),(17,16)],18) => 1
[5,6,3,4,1,2] => ([(0,1),(0,2),(0,3),(1,5),(1,6),(1,12),(2,6),(2,7),(2,12),(3,5),(3,7),(3,12),(5,9),(5,10),(6,9),(6,11),(7,9),(7,10),(7,11),(8,4),(9,13),(10,8),(10,13),(11,8),(11,13),(12,10),(12,11),(13,4)],14) => 1
[5,6,3,4,2,1] => ([(0,2),(0,3),(0,4),(1,7),(1,13),(2,6),(2,12),(3,1),(3,9),(3,12),(4,6),(4,9),(4,12),(6,10),(7,8),(7,11),(8,5),(9,7),(9,10),(9,13),(10,11),(11,5),(12,10),(12,13),(13,8),(13,11)],14) => 1
[5,6,4,1,2,3] => ([(0,3),(0,4),(0,5),(1,14),(2,6),(2,7),(3,9),(3,10),(4,9),(4,11),(5,2),(5,10),(5,11),(6,13),(7,13),(7,14),(9,1),(9,12),(10,6),(10,12),(11,7),(11,12),(12,13),(12,14),(13,8),(14,8)],15) => 1
[5,6,4,1,3,2] => ([(0,2),(0,3),(0,4),(0,5),(1,13),(1,16),(2,6),(2,14),(3,10),(3,11),(3,14),(4,9),(4,11),(4,14),(5,6),(5,9),(5,10),(6,15),(7,13),(7,16),(9,12),(9,15),(10,1),(10,12),(10,15),(11,7),(11,12),(12,13),(12,16),(13,8),(14,7),(14,15),(15,16),(16,8)],17) => 1
[5,6,4,2,1,3] => ([(0,2),(0,3),(0,4),(0,5),(1,13),(1,16),(2,6),(2,14),(3,10),(3,11),(3,14),(4,9),(4,11),(4,14),(5,6),(5,9),(5,10),(6,15),(7,13),(7,16),(9,12),(9,15),(10,1),(10,12),(10,15),(11,7),(11,12),(12,13),(12,16),(13,8),(14,7),(14,15),(15,16),(16,8)],17) => 1
[5,6,4,2,3,1] => ([(0,1),(0,2),(0,3),(0,4),(1,6),(1,13),(2,8),(2,9),(2,13),(3,7),(3,9),(3,13),(4,6),(4,7),(4,8),(6,15),(7,12),(7,15),(8,11),(8,12),(8,15),(9,11),(9,12),(10,5),(11,10),(11,14),(12,10),(12,14),(13,11),(13,15),(14,5),(15,14)],16) => 1
[5,6,4,3,1,2] => ([(0,2),(0,3),(0,4),(1,7),(1,8),(2,6),(2,11),(3,6),(3,10),(4,1),(4,10),(4,11),(6,12),(7,9),(7,13),(8,9),(8,13),(9,5),(10,7),(10,12),(11,8),(11,12),(12,13),(13,5)],14) => 1
[5,6,4,3,2,1] => ([(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
[6,1,2,3,4,5] => ([(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
[6,1,2,3,5,4] => ([(0,3),(0,4),(0,5),(1,14),(2,1),(2,6),(2,7),(3,9),(3,11),(4,9),(4,10),(5,2),(5,10),(5,11),(6,13),(6,14),(7,13),(7,14),(9,12),(10,6),(10,12),(11,7),(11,12),(12,13),(13,8),(14,8)],15) => 1
[6,1,2,4,3,5] => ([(0,1),(0,3),(0,4),(0,5),(1,6),(1,15),(2,7),(2,8),(2,13),(3,10),(3,12),(3,15),(4,2),(4,11),(4,12),(4,15),(5,6),(5,10),(5,11),(6,16),(7,17),(8,17),(8,18),(10,14),(10,16),(11,8),(11,14),(11,16),(12,7),(12,13),(12,14),(13,17),(13,18),(14,17),(14,18),(15,13),(15,16),(16,18),(17,9),(18,9)],19) => 1
[6,1,2,4,5,3] => ([(0,1),(0,3),(0,4),(0,5),(1,6),(1,15),(2,7),(2,8),(2,13),(3,10),(3,12),(3,15),(4,2),(4,11),(4,12),(4,15),(5,6),(5,10),(5,11),(6,16),(7,17),(8,17),(8,18),(10,14),(10,16),(11,8),(11,14),(11,16),(12,7),(12,13),(12,14),(13,17),(13,18),(14,17),(14,18),(15,13),(15,16),(16,18),(17,9),(18,9)],19) => 1
[6,1,2,5,3,4] => ([(0,2),(0,3),(0,4),(0,5),(1,10),(1,17),(2,7),(2,13),(3,9),(3,11),(3,13),(4,1),(4,8),(4,11),(4,13),(5,7),(5,8),(5,9),(7,16),(8,12),(8,16),(8,17),(9,12),(9,16),(10,14),(11,10),(11,12),(11,17),(12,14),(12,15),(13,16),(13,17),(14,6),(15,6),(16,15),(17,14),(17,15)],18) => 1
[6,1,2,5,4,3] => ([(0,3),(0,4),(0,5),(1,13),(2,6),(2,8),(3,9),(3,10),(4,2),(4,10),(4,11),(5,1),(5,9),(5,11),(6,14),(6,15),(8,14),(9,12),(9,13),(10,8),(10,12),(11,6),(11,12),(11,13),(12,14),(12,15),(13,15),(14,7),(15,7)],16) => 1
[6,1,3,2,4,5] => ([(0,1),(0,3),(0,4),(0,5),(1,6),(1,15),(2,7),(2,8),(2,13),(3,10),(3,12),(3,15),(4,2),(4,11),(4,12),(4,15),(5,6),(5,10),(5,11),(6,16),(7,17),(8,17),(8,18),(10,14),(10,16),(11,8),(11,14),(11,16),(12,7),(12,13),(12,14),(13,17),(13,18),(14,17),(14,18),(15,13),(15,16),(16,18),(17,9),(18,9)],19) => 1
[6,1,3,2,5,4] => ([(0,1),(0,2),(0,3),(0,4),(1,9),(1,10),(1,15),(2,8),(2,11),(2,15),(3,7),(3,8),(3,9),(4,7),(4,10),(4,11),(4,15),(5,17),(7,12),(7,13),(7,16),(8,13),(8,16),(9,12),(9,16),(10,12),(10,14),(11,5),(11,13),(11,14),(12,18),(13,17),(13,18),(14,17),(14,18),(15,5),(15,14),(15,16),(16,17),(16,18),(17,6),(18,6)],19) => 1
[6,1,3,4,2,5] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,6),(1,19),(2,10),(2,12),(2,13),(2,19),(3,9),(3,11),(3,13),(3,19),(4,8),(4,11),(4,12),(4,19),(5,6),(5,8),(5,9),(5,10),(6,20),(8,15),(8,16),(8,20),(9,15),(9,17),(9,20),(10,16),(10,17),(10,20),(11,14),(11,15),(11,18),(12,14),(12,16),(12,18),(13,14),(13,17),(13,18),(14,22),(15,21),(15,22),(16,21),(16,22),(17,21),(17,22),(18,21),(18,22),(19,18),(19,20),(20,21),(21,7),(22,7)],23) => 1
[6,1,3,4,5,2] => ([(0,1),(0,3),(0,4),(0,5),(1,6),(1,15),(2,7),(2,8),(2,13),(3,10),(3,12),(3,15),(4,2),(4,11),(4,12),(4,15),(5,6),(5,10),(5,11),(6,16),(7,17),(8,17),(8,18),(10,14),(10,16),(11,8),(11,14),(11,16),(12,7),(12,13),(12,14),(13,17),(13,18),(14,17),(14,18),(15,13),(15,16),(16,18),(17,9),(18,9)],19) => 1
[6,1,3,5,4,2] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,17),(2,10),(2,11),(2,17),(3,8),(3,9),(3,13),(3,17),(4,7),(4,9),(4,10),(4,17),(5,7),(5,8),(5,11),(5,12),(7,15),(7,20),(7,21),(8,14),(8,15),(8,20),(9,15),(9,16),(9,21),(10,21),(11,20),(11,21),(12,14),(12,20),(13,14),(13,16),(14,19),(15,18),(15,19),(16,18),(16,19),(17,16),(17,20),(17,21),(18,6),(19,6),(20,18),(20,19),(21,18)],22) => 1
[6,1,4,2,3,5] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,6),(1,17),(2,9),(2,11),(2,13),(2,17),(3,8),(3,11),(3,12),(3,17),(4,10),(4,12),(4,13),(4,17),(5,6),(5,8),(5,9),(5,10),(6,20),(8,15),(8,20),(8,21),(9,16),(9,20),(9,21),(10,15),(10,16),(10,20),(11,14),(11,21),(12,14),(12,15),(12,21),(13,14),(13,16),(13,21),(14,19),(15,18),(15,19),(16,18),(16,19),(17,20),(17,21),(18,7),(19,7),(20,18),(21,18),(21,19)],22) => 1
[6,1,4,3,2,5] => ([(0,2),(0,3),(0,4),(0,5),(1,6),(1,16),(2,8),(2,10),(2,12),(3,8),(3,9),(3,11),(4,9),(4,10),(4,13),(5,1),(5,11),(5,12),(5,13),(6,17),(8,19),(9,14),(9,19),(10,15),(10,19),(11,14),(11,16),(11,19),(12,15),(12,16),(12,19),(13,6),(13,14),(13,15),(14,17),(14,18),(15,17),(15,18),(16,17),(16,18),(17,7),(18,7),(19,18)],20) => 1
[6,1,4,3,5,2] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,6),(1,8),(1,18),(2,11),(2,13),(2,14),(2,18),(3,10),(3,12),(3,14),(3,18),(4,8),(4,9),(4,12),(4,13),(5,6),(5,9),(5,10),(5,11),(6,23),(8,19),(8,23),(9,16),(9,17),(9,23),(10,16),(10,20),(10,23),(11,17),(11,20),(11,23),(12,15),(12,16),(12,19),(13,15),(13,17),(13,19),(14,15),(14,20),(15,22),(16,21),(16,22),(17,21),(17,22),(18,19),(18,20),(18,23),(19,21),(19,22),(20,21),(20,22),(21,7),(22,7),(23,21)],24) => 1
[6,1,4,5,2,3] => ([(0,1),(0,2),(0,3),(0,4),(1,10),(1,11),(1,12),(2,8),(2,9),(2,12),(3,6),(3,7),(3,9),(3,11),(4,6),(4,7),(4,8),(4,10),(6,14),(6,19),(7,13),(7,15),(7,19),(8,13),(8,19),(9,13),(9,16),(9,19),(10,14),(10,15),(10,19),(11,14),(11,15),(11,16),(12,16),(12,19),(13,17),(14,18),(15,17),(15,18),(16,17),(16,18),(17,5),(18,5),(19,17),(19,18)],20) => 1
[6,1,4,5,3,2] => ([(0,2),(0,3),(0,4),(0,5),(1,6),(1,16),(2,8),(2,10),(2,12),(3,8),(3,9),(3,11),(4,9),(4,10),(4,13),(5,1),(5,11),(5,12),(5,13),(6,17),(8,19),(9,14),(9,19),(10,15),(10,19),(11,14),(11,16),(11,19),(12,15),(12,16),(12,19),(13,6),(13,14),(13,15),(14,17),(14,18),(15,17),(15,18),(16,17),(16,18),(17,7),(18,7),(19,18)],20) => 1
[6,1,5,2,3,4] => ([(0,1),(0,2),(0,4),(0,5),(1,9),(1,16),(2,10),(2,16),(3,6),(3,7),(3,15),(4,9),(4,11),(4,16),(5,3),(5,10),(5,11),(5,16),(6,13),(7,13),(7,14),(9,12),(10,6),(10,15),(11,7),(11,12),(11,15),(12,14),(13,8),(14,8),(15,13),(15,14),(16,12),(16,15)],17) => 1
[6,1,5,2,4,3] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,10),(1,11),(1,19),(2,9),(2,12),(2,19),(3,8),(3,12),(3,19),(4,6),(4,8),(4,10),(4,19),(5,6),(5,9),(5,11),(5,19),(6,13),(6,17),(6,18),(8,16),(8,17),(9,16),(9,18),(10,13),(10,17),(11,13),(11,18),(12,16),(13,15),(14,7),(15,7),(16,14),(17,14),(17,15),(18,14),(18,15),(19,16),(19,17),(19,18)],20) => 1
[6,1,5,3,2,4] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,9),(1,12),(1,15),(2,10),(2,12),(2,16),(3,11),(3,13),(3,15),(3,16),(4,8),(4,10),(4,11),(4,15),(5,8),(5,9),(5,13),(5,16),(6,18),(6,19),(8,14),(8,17),(8,20),(9,17),(9,21),(10,20),(10,21),(11,14),(11,20),(12,21),(13,6),(13,14),(13,17),(14,19),(15,17),(15,20),(15,21),(16,6),(16,20),(16,21),(17,18),(17,19),(18,7),(19,7),(20,18),(20,19),(21,18)],22) => 1
[6,1,5,3,4,2] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,9),(1,12),(1,15),(2,10),(2,12),(2,16),(3,11),(3,13),(3,15),(3,16),(4,8),(4,10),(4,11),(4,15),(5,8),(5,9),(5,13),(5,16),(6,18),(6,19),(8,14),(8,17),(8,20),(9,17),(9,21),(10,20),(10,21),(11,14),(11,20),(12,21),(13,6),(13,14),(13,17),(14,19),(15,17),(15,20),(15,21),(16,6),(16,20),(16,21),(17,18),(17,19),(18,7),(19,7),(20,18),(20,19),(21,18)],22) => 1
[6,1,5,4,2,3] => ([(0,2),(0,3),(0,4),(0,5),(1,10),(1,17),(2,7),(2,13),(3,9),(3,11),(3,13),(4,1),(4,8),(4,11),(4,13),(5,7),(5,8),(5,9),(7,16),(8,12),(8,16),(8,17),(9,12),(9,16),(10,14),(11,10),(11,12),(11,17),(12,14),(12,15),(13,16),(13,17),(14,6),(15,6),(16,15),(17,14),(17,15)],18) => 1
[6,1,5,4,3,2] => ([(0,2),(0,3),(0,5),(1,8),(1,12),(2,10),(3,6),(3,10),(4,1),(4,9),(4,11),(5,4),(5,6),(5,10),(6,9),(6,11),(8,7),(9,8),(9,12),(10,11),(11,12),(12,7)],13) => 1
[6,2,1,3,4,5] => ([(0,3),(0,4),(0,5),(1,14),(2,1),(2,6),(2,7),(3,9),(3,11),(4,9),(4,10),(5,2),(5,10),(5,11),(6,13),(6,14),(7,13),(7,14),(9,12),(10,6),(10,12),(11,7),(11,12),(12,13),(13,8),(14,8)],15) => 1
[6,2,1,3,5,4] => ([(0,1),(0,2),(0,3),(0,4),(1,7),(1,8),(1,9),(2,9),(2,10),(2,12),(3,8),(3,10),(3,11),(4,7),(4,11),(4,12),(5,17),(7,14),(7,15),(8,13),(8,14),(9,13),(9,15),(10,13),(10,16),(11,5),(11,14),(11,16),(12,5),(12,15),(12,16),(13,18),(14,17),(14,18),(15,17),(15,18),(16,17),(16,18),(17,6),(18,6)],19) => 1
[6,2,1,4,3,5] => ([(0,1),(0,2),(0,3),(0,4),(1,9),(1,10),(1,15),(2,8),(2,11),(2,15),(3,7),(3,8),(3,9),(4,7),(4,10),(4,11),(4,15),(5,17),(7,12),(7,13),(7,16),(8,13),(8,16),(9,12),(9,16),(10,12),(10,14),(11,5),(11,13),(11,14),(12,18),(13,17),(13,18),(14,17),(14,18),(15,5),(15,14),(15,16),(16,17),(16,18),(17,6),(18,6)],19) => 1
[6,2,1,4,5,3] => ([(0,2),(0,3),(0,4),(0,5),(1,6),(1,15),(1,18),(2,10),(2,11),(2,12),(3,8),(3,9),(3,12),(4,9),(4,10),(4,13),(5,1),(5,8),(5,11),(5,13),(6,19),(6,20),(8,14),(8,18),(9,14),(9,16),(10,16),(10,17),(11,15),(11,17),(11,18),(12,15),(12,16),(12,18),(13,6),(13,14),(13,17),(14,19),(15,20),(16,19),(16,20),(17,19),(17,20),(18,19),(18,20),(19,7),(20,7)],21) => 1
[6,2,1,5,3,4] => ([(0,2),(0,3),(0,4),(0,5),(1,14),(1,19),(2,9),(2,11),(2,12),(3,8),(3,9),(3,10),(4,7),(4,8),(4,11),(5,1),(5,7),(5,10),(5,12),(7,13),(7,19),(8,13),(8,16),(9,15),(9,16),(10,13),(10,15),(10,19),(11,14),(11,16),(11,19),(12,14),(12,15),(12,19),(13,17),(14,18),(15,17),(15,18),(16,17),(16,18),(17,6),(18,6),(19,17),(19,18)],20) => 1
[6,2,1,5,4,3] => ([(0,3),(0,4),(0,5),(1,14),(2,6),(2,8),(2,14),(3,9),(3,10),(4,2),(4,10),(4,11),(5,1),(5,9),(5,11),(6,13),(6,15),(8,13),(8,15),(9,12),(9,14),(10,8),(10,12),(11,6),(11,12),(11,14),(12,13),(12,15),(13,7),(14,15),(15,7)],16) => 1
[6,2,3,1,4,5] => ([(0,1),(0,3),(0,4),(0,5),(1,6),(1,15),(2,7),(2,8),(2,13),(3,10),(3,12),(3,15),(4,2),(4,11),(4,12),(4,15),(5,6),(5,10),(5,11),(6,16),(7,17),(8,17),(8,18),(10,14),(10,16),(11,8),(11,14),(11,16),(12,7),(12,13),(12,14),(13,17),(13,18),(14,17),(14,18),(15,13),(15,16),(16,18),(17,9),(18,9)],19) => 1
[6,2,3,1,5,4] => ([(0,2),(0,3),(0,4),(0,5),(1,6),(1,15),(1,18),(2,10),(2,11),(2,12),(3,8),(3,9),(3,12),(4,9),(4,10),(4,13),(5,1),(5,8),(5,11),(5,13),(6,19),(6,20),(8,14),(8,18),(9,14),(9,16),(10,16),(10,17),(11,15),(11,17),(11,18),(12,15),(12,16),(12,18),(13,6),(13,14),(13,17),(14,19),(15,20),(16,19),(16,20),(17,19),(17,20),(18,19),(18,20),(19,7),(20,7)],21) => 1
[6,2,3,4,1,5] => ([(0,1),(0,3),(0,4),(0,5),(1,6),(1,15),(2,7),(2,8),(2,13),(3,10),(3,12),(3,15),(4,2),(4,11),(4,12),(4,15),(5,6),(5,10),(5,11),(6,16),(7,17),(8,17),(8,18),(10,14),(10,16),(11,8),(11,14),(11,16),(12,7),(12,13),(12,14),(13,17),(13,18),(14,17),(14,18),(15,13),(15,16),(16,18),(17,9),(18,9)],19) => 1
[6,2,3,4,5,1] => ([(0,3),(0,4),(0,5),(1,14),(2,1),(2,6),(2,7),(3,9),(3,11),(4,9),(4,10),(5,2),(5,10),(5,11),(6,13),(6,14),(7,13),(7,14),(9,12),(10,6),(10,12),(11,7),(11,12),(12,13),(13,8),(14,8)],15) => 1
[6,2,3,5,4,1] => ([(0,2),(0,3),(0,4),(0,5),(1,17),(2,8),(2,9),(2,12),(3,7),(3,9),(3,11),(4,7),(4,8),(4,10),(5,1),(5,10),(5,11),(5,12),(7,13),(7,16),(8,13),(8,14),(9,13),(9,15),(10,14),(10,16),(10,17),(11,15),(11,16),(11,17),(12,14),(12,15),(12,17),(13,19),(14,18),(14,19),(15,18),(15,19),(16,18),(16,19),(17,18),(18,6),(19,6)],20) => 1
[6,2,4,3,1,5] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,6),(1,8),(1,18),(2,11),(2,13),(2,14),(2,18),(3,10),(3,12),(3,14),(3,18),(4,8),(4,9),(4,12),(4,13),(5,6),(5,9),(5,10),(5,11),(6,23),(8,19),(8,23),(9,16),(9,17),(9,23),(10,16),(10,20),(10,23),(11,17),(11,20),(11,23),(12,15),(12,16),(12,19),(13,15),(13,17),(13,19),(14,15),(14,20),(15,22),(16,21),(16,22),(17,21),(17,22),(18,19),(18,20),(18,23),(19,21),(19,22),(20,21),(20,22),(21,7),(22,7),(23,21)],24) => 1
[6,2,4,3,5,1] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,7),(1,8),(1,18),(2,12),(2,13),(2,14),(2,18),(3,10),(3,11),(3,14),(3,18),(4,8),(4,9),(4,11),(4,13),(5,7),(5,9),(5,10),(5,12),(7,15),(7,19),(8,15),(8,20),(9,15),(9,16),(9,17),(10,16),(10,19),(10,23),(11,16),(11,20),(11,23),(12,17),(12,19),(12,23),(13,17),(13,20),(13,23),(14,23),(15,22),(16,21),(16,22),(17,21),(17,22),(18,19),(18,20),(18,23),(19,21),(19,22),(20,21),(20,22),(21,6),(22,6),(23,21)],24) => 1
[6,2,4,5,3,1] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,17),(2,10),(2,11),(2,17),(3,8),(3,9),(3,13),(3,17),(4,7),(4,9),(4,10),(4,17),(5,7),(5,8),(5,11),(5,12),(7,15),(7,20),(7,21),(8,14),(8,15),(8,20),(9,15),(9,16),(9,21),(10,21),(11,20),(11,21),(12,14),(12,20),(13,14),(13,16),(14,19),(15,18),(15,19),(16,18),(16,19),(17,16),(17,20),(17,21),(18,6),(19,6),(20,18),(20,19),(21,18)],22) => 1
[6,2,5,1,3,4] => ([(0,1),(0,3),(0,4),(0,5),(0,6),(1,17),(1,19),(2,7),(2,18),(2,22),(3,9),(3,11),(3,19),(4,10),(4,12),(4,17),(4,19),(5,11),(5,12),(5,13),(5,19),(6,2),(6,9),(6,10),(6,13),(6,17),(7,20),(7,21),(9,16),(9,18),(9,22),(10,15),(10,18),(10,22),(11,14),(11,16),(12,14),(12,15),(12,22),(13,7),(13,15),(13,16),(13,22),(14,21),(15,20),(15,21),(16,20),(16,21),(17,18),(17,22),(18,20),(19,14),(19,22),(20,8),(21,8),(22,20),(22,21)],23) => 1
[6,2,5,1,4,3] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(1,8),(1,18),(1,21),(2,11),(2,12),(2,19),(3,9),(3,13),(3,19),(4,10),(4,13),(4,19),(5,10),(5,12),(5,14),(5,19),(6,1),(6,9),(6,11),(6,14),(6,19),(8,17),(8,20),(9,18),(9,21),(10,16),(10,21),(11,15),(11,18),(11,21),(12,15),(12,16),(13,21),(14,8),(14,15),(14,16),(14,18),(15,17),(15,20),(16,17),(16,20),(17,7),(18,17),(18,20),(19,16),(19,18),(19,21),(20,7),(21,20)],22) => 1
[6,2,5,3,4,1] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,17),(2,10),(2,11),(2,17),(3,8),(3,9),(3,13),(3,17),(4,7),(4,9),(4,10),(4,17),(5,7),(5,8),(5,11),(5,12),(7,15),(7,20),(7,21),(8,14),(8,15),(8,20),(9,15),(9,16),(9,21),(10,21),(11,20),(11,21),(12,14),(12,20),(13,14),(13,16),(14,19),(15,18),(15,19),(16,18),(16,19),(17,16),(17,20),(17,21),(18,6),(19,6),(20,18),(20,19),(21,18)],22) => 1
[6,2,5,4,1,3] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(1,12),(1,20),(1,21),(2,13),(2,14),(3,8),(3,13),(3,15),(4,9),(4,10),(4,13),(4,15),(5,7),(5,8),(5,9),(5,14),(6,1),(6,7),(6,10),(6,14),(6,15),(7,12),(7,16),(7,18),(7,20),(8,18),(8,21),(9,16),(9,18),(9,21),(10,16),(10,20),(10,21),(12,17),(12,19),(13,21),(14,20),(14,21),(15,18),(15,20),(15,21),(16,17),(16,19),(17,11),(18,17),(18,19),(19,11),(20,17),(20,19),(21,19)],22) => 1
[6,2,5,4,3,1] => ([(0,1),(0,3),(0,4),(0,5),(1,14),(2,7),(2,8),(2,16),(3,9),(3,11),(3,14),(4,9),(4,10),(4,14),(5,2),(5,10),(5,11),(5,14),(7,13),(7,15),(8,13),(8,15),(9,12),(9,16),(10,7),(10,12),(10,16),(11,8),(11,12),(11,16),(12,13),(12,15),(13,6),(14,16),(15,6),(16,15)],17) => 1
[6,3,1,2,4,5] => ([(0,2),(0,3),(0,4),(0,5),(1,10),(1,17),(2,7),(2,13),(3,9),(3,11),(3,13),(4,1),(4,8),(4,11),(4,13),(5,7),(5,8),(5,9),(7,16),(8,12),(8,16),(8,17),(9,12),(9,16),(10,14),(11,10),(11,12),(11,17),(12,14),(12,15),(13,16),(13,17),(14,6),(15,6),(16,15),(17,14),(17,15)],18) => 1
[6,3,1,2,5,4] => ([(0,2),(0,3),(0,4),(0,5),(1,14),(1,19),(2,9),(2,11),(2,12),(3,8),(3,9),(3,10),(4,7),(4,8),(4,11),(5,1),(5,7),(5,10),(5,12),(7,13),(7,19),(8,13),(8,16),(9,15),(9,16),(10,13),(10,15),(10,19),(11,14),(11,16),(11,19),(12,14),(12,15),(12,19),(13,17),(14,18),(15,17),(15,18),(16,17),(16,18),(17,6),(18,6),(19,17),(19,18)],20) => 1
[6,3,1,5,4,2] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(1,20),(1,22),(2,13),(2,14),(2,17),(3,11),(3,12),(3,17),(4,8),(4,9),(4,11),(4,17),(5,1),(5,8),(5,10),(5,14),(5,17),(6,9),(6,10),(6,12),(6,13),(8,15),(8,20),(8,22),(9,15),(9,19),(9,22),(10,15),(10,16),(10,19),(10,20),(11,22),(12,19),(12,22),(13,16),(13,19),(14,16),(14,20),(14,22),(15,18),(15,21),(16,18),(16,21),(17,19),(17,20),(17,22),(18,7),(19,18),(19,21),(20,18),(20,21),(21,7),(22,21)],23) => 1
[6,3,2,1,4,5] => ([(0,3),(0,4),(0,5),(1,13),(2,6),(2,8),(3,9),(3,10),(4,2),(4,10),(4,11),(5,1),(5,9),(5,11),(6,14),(6,15),(8,14),(9,12),(9,13),(10,8),(10,12),(11,6),(11,12),(11,13),(12,14),(12,15),(13,15),(14,7),(15,7)],16) => 1
[6,3,2,1,5,4] => ([(0,3),(0,4),(0,5),(1,14),(2,6),(2,8),(2,14),(3,9),(3,10),(4,2),(4,10),(4,11),(5,1),(5,9),(5,11),(6,13),(6,15),(8,13),(8,15),(9,12),(9,14),(10,8),(10,12),(11,6),(11,12),(11,14),(12,13),(12,15),(13,7),(14,15),(15,7)],16) => 1
[6,3,2,4,1,5] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,17),(2,10),(2,11),(2,17),(3,8),(3,9),(3,13),(3,17),(4,7),(4,9),(4,10),(4,17),(5,7),(5,8),(5,11),(5,12),(7,15),(7,20),(7,21),(8,14),(8,15),(8,20),(9,15),(9,16),(9,21),(10,21),(11,20),(11,21),(12,14),(12,20),(13,14),(13,16),(14,19),(15,18),(15,19),(16,18),(16,19),(17,16),(17,20),(17,21),(18,6),(19,6),(20,18),(20,19),(21,18)],22) => 1
[6,3,2,4,5,1] => ([(0,2),(0,3),(0,4),(0,5),(1,17),(2,8),(2,9),(2,12),(3,7),(3,9),(3,11),(4,7),(4,8),(4,10),(5,1),(5,10),(5,11),(5,12),(7,13),(7,16),(8,13),(8,14),(9,13),(9,15),(10,14),(10,16),(10,17),(11,15),(11,16),(11,17),(12,14),(12,15),(12,17),(13,19),(14,18),(14,19),(15,18),(15,19),(16,18),(16,19),(17,18),(18,6),(19,6)],20) => 1
[6,3,2,5,1,4] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(1,20),(1,22),(2,13),(2,14),(2,17),(3,11),(3,12),(3,17),(4,8),(4,9),(4,11),(4,17),(5,1),(5,8),(5,10),(5,14),(5,17),(6,9),(6,10),(6,12),(6,13),(8,15),(8,20),(8,22),(9,15),(9,19),(9,22),(10,15),(10,16),(10,19),(10,20),(11,22),(12,19),(12,22),(13,16),(13,19),(14,16),(14,20),(14,22),(15,18),(15,21),(16,18),(16,21),(17,19),(17,20),(17,22),(18,7),(19,18),(19,21),(20,18),(20,21),(21,7),(22,21)],23) => 1
[6,3,2,5,4,1] => ([(0,1),(0,2),(0,3),(0,4),(1,10),(1,11),(1,12),(2,8),(2,9),(2,12),(3,5),(3,7),(3,9),(3,11),(4,5),(4,7),(4,8),(4,10),(5,19),(7,13),(7,14),(7,19),(8,13),(8,15),(8,19),(9,13),(9,16),(9,19),(10,14),(10,15),(10,19),(11,14),(11,16),(11,19),(12,15),(12,16),(13,17),(13,18),(14,17),(14,18),(15,17),(15,18),(16,17),(16,18),(17,6),(18,6),(19,18)],20) => 1
[6,3,4,1,2,5] => ([(0,1),(0,2),(0,3),(0,4),(1,10),(1,11),(1,12),(2,8),(2,9),(2,12),(3,6),(3,7),(3,9),(3,11),(4,6),(4,7),(4,8),(4,10),(6,14),(6,19),(7,13),(7,15),(7,19),(8,13),(8,19),(9,13),(9,16),(9,19),(10,14),(10,15),(10,19),(11,14),(11,15),(11,16),(12,16),(12,19),(13,17),(14,18),(15,17),(15,18),(16,17),(16,18),(17,5),(18,5),(19,17),(19,18)],20) => 1
[6,3,4,2,1,5] => ([(0,2),(0,3),(0,4),(0,5),(1,6),(1,16),(2,8),(2,10),(2,12),(3,8),(3,9),(3,11),(4,9),(4,10),(4,13),(5,1),(5,11),(5,12),(5,13),(6,17),(8,19),(9,14),(9,19),(10,15),(10,19),(11,14),(11,16),(11,19),(12,15),(12,16),(12,19),(13,6),(13,14),(13,15),(14,17),(14,18),(15,17),(15,18),(16,17),(16,18),(17,7),(18,7),(19,18)],20) => 1
[6,3,4,2,5,1] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,17),(2,10),(2,11),(2,17),(3,8),(3,9),(3,13),(3,17),(4,7),(4,9),(4,10),(4,17),(5,7),(5,8),(5,11),(5,12),(7,15),(7,20),(7,21),(8,14),(8,15),(8,20),(9,15),(9,16),(9,21),(10,21),(11,20),(11,21),(12,14),(12,20),(13,14),(13,16),(14,19),(15,18),(15,19),(16,18),(16,19),(17,16),(17,20),(17,21),(18,6),(19,6),(20,18),(20,19),(21,18)],22) => 1
[6,3,4,5,1,2] => ([(0,3),(0,4),(0,5),(1,6),(1,15),(2,7),(2,15),(3,9),(3,10),(4,1),(4,9),(4,11),(5,2),(5,10),(5,11),(6,13),(7,14),(9,12),(9,15),(10,7),(10,12),(11,6),(11,12),(11,15),(12,13),(12,14),(13,8),(14,8),(15,13),(15,14)],16) => 1
[6,3,4,5,2,1] => ([(0,3),(0,4),(0,5),(1,13),(2,6),(2,8),(3,9),(3,10),(4,2),(4,10),(4,11),(5,1),(5,9),(5,11),(6,14),(6,15),(8,14),(9,12),(9,13),(10,8),(10,12),(11,6),(11,12),(11,13),(12,14),(12,15),(13,15),(14,7),(15,7)],16) => 1
[6,3,5,1,2,4] => ([(0,1),(0,3),(0,4),(0,5),(0,6),(1,17),(1,19),(2,8),(2,18),(2,22),(3,10),(3,11),(3,19),(4,12),(4,14),(4,17),(4,19),(5,10),(5,13),(5,14),(5,17),(6,2),(6,11),(6,12),(6,13),(6,19),(7,20),(8,20),(8,21),(10,15),(10,22),(11,15),(11,18),(11,22),(12,16),(12,18),(12,22),(13,8),(13,15),(13,16),(13,22),(14,7),(14,16),(14,22),(15,20),(15,21),(16,20),(16,21),(17,7),(17,22),(18,21),(19,18),(19,22),(20,9),(21,9),(22,20),(22,21)],23) => 1
[6,3,5,1,4,2] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,9),(1,16),(1,20),(2,8),(2,16),(2,17),(3,9),(3,10),(3,17),(3,20),(4,12),(4,13),(4,16),(4,17),(4,20),(5,11),(5,13),(5,16),(5,17),(5,20),(6,8),(6,10),(6,11),(6,12),(6,20),(8,19),(8,23),(9,22),(10,15),(10,19),(10,22),(11,14),(11,15),(11,19),(11,23),(12,14),(12,15),(12,19),(12,23),(13,14),(13,22),(13,23),(14,18),(14,21),(15,18),(15,21),(16,22),(16,23),(17,19),(17,22),(17,23),(18,7),(19,18),(19,21),(20,15),(20,22),(20,23),(21,7),(22,21),(23,18),(23,21)],24) => 1
[6,3,5,2,1,4] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(1,8),(1,19),(1,21),(2,12),(2,16),(2,17),(3,11),(3,16),(3,17),(4,9),(4,10),(4,16),(5,9),(5,12),(5,13),(5,17),(6,1),(6,10),(6,11),(6,13),(6,17),(8,18),(8,20),(9,14),(9,21),(10,14),(10,19),(10,21),(11,19),(11,21),(12,15),(12,21),(13,8),(13,14),(13,15),(13,19),(14,18),(14,20),(15,18),(15,20),(16,21),(17,15),(17,19),(17,21),(18,7),(19,18),(19,20),(20,7),(21,20)],22) => 1
[6,3,5,2,4,1] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,14),(1,17),(1,22),(2,13),(2,17),(2,22),(3,9),(3,11),(3,17),(3,22),(4,8),(4,10),(4,17),(4,22),(5,8),(5,9),(5,12),(5,13),(5,22),(6,10),(6,11),(6,12),(6,14),(6,22),(8,15),(8,19),(8,23),(9,16),(9,19),(9,23),(10,15),(10,20),(10,23),(11,16),(11,20),(11,23),(12,15),(12,16),(12,19),(12,20),(13,19),(13,23),(14,20),(14,23),(15,18),(15,21),(16,18),(16,21),(17,23),(18,7),(19,18),(19,21),(20,18),(20,21),(21,7),(22,19),(22,20),(22,23),(23,21)],24) => 1
[6,3,5,4,1,2] => ([(0,2),(0,3),(0,4),(0,5),(1,10),(1,15),(1,17),(2,7),(2,13),(3,8),(3,9),(3,13),(4,8),(4,11),(4,13),(5,1),(5,7),(5,9),(5,11),(7,17),(8,12),(8,15),(9,12),(9,15),(9,17),(10,14),(10,16),(11,10),(11,12),(11,17),(12,14),(12,16),(13,15),(13,17),(14,6),(15,14),(15,16),(16,6),(17,16)],18) => 1
[6,3,5,4,2,1] => ([(0,1),(0,3),(0,4),(0,5),(1,14),(2,7),(2,8),(2,16),(3,9),(3,11),(3,14),(4,9),(4,10),(4,14),(5,2),(5,10),(5,11),(5,14),(7,13),(7,15),(8,13),(8,15),(9,12),(9,16),(10,7),(10,12),(10,16),(11,8),(11,12),(11,16),(12,13),(12,15),(13,6),(14,16),(15,6),(16,15)],17) => 1
[6,4,1,2,3,5] => ([(0,1),(0,2),(0,4),(0,5),(1,9),(1,16),(2,10),(2,16),(3,6),(3,7),(3,15),(4,9),(4,11),(4,16),(5,3),(5,10),(5,11),(5,16),(6,13),(7,13),(7,14),(9,12),(10,6),(10,15),(11,7),(11,12),(11,15),(12,14),(13,8),(14,8),(15,13),(15,14),(16,12),(16,15)],17) => 1
[6,4,1,2,5,3] => ([(0,1),(0,3),(0,4),(0,5),(0,6),(1,17),(1,19),(2,7),(2,18),(2,22),(3,9),(3,11),(3,19),(4,10),(4,12),(4,17),(4,19),(5,11),(5,12),(5,13),(5,19),(6,2),(6,9),(6,10),(6,13),(6,17),(7,20),(7,21),(9,16),(9,18),(9,22),(10,15),(10,18),(10,22),(11,14),(11,16),(12,14),(12,15),(12,22),(13,7),(13,15),(13,16),(13,22),(14,21),(15,20),(15,21),(16,20),(16,21),(17,18),(17,22),(18,20),(19,14),(19,22),(20,8),(21,8),(22,20),(22,21)],23) => 1
[6,4,1,3,2,5] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,9),(1,12),(1,15),(2,10),(2,12),(2,16),(3,11),(3,13),(3,15),(3,16),(4,8),(4,10),(4,11),(4,15),(5,8),(5,9),(5,13),(5,16),(6,18),(6,19),(8,14),(8,17),(8,20),(9,17),(9,21),(10,20),(10,21),(11,14),(11,20),(12,21),(13,6),(13,14),(13,17),(14,19),(15,17),(15,20),(15,21),(16,6),(16,20),(16,21),(17,18),(17,19),(18,7),(19,7),(20,18),(20,19),(21,18)],22) => 1
[6,4,1,5,2,3] => ([(0,1),(0,3),(0,4),(0,5),(0,6),(1,17),(1,19),(2,8),(2,18),(2,22),(3,10),(3,11),(3,19),(4,12),(4,14),(4,17),(4,19),(5,10),(5,13),(5,14),(5,17),(6,2),(6,11),(6,12),(6,13),(6,19),(7,20),(8,20),(8,21),(10,15),(10,22),(11,15),(11,18),(11,22),(12,16),(12,18),(12,22),(13,8),(13,15),(13,16),(13,22),(14,7),(14,16),(14,22),(15,20),(15,21),(16,20),(16,21),(17,7),(17,22),(18,21),(19,18),(19,22),(20,9),(21,9),(22,20),(22,21)],23) => 1
[6,4,1,5,3,2] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(1,8),(1,19),(1,21),(2,12),(2,16),(2,17),(3,11),(3,16),(3,17),(4,9),(4,10),(4,16),(5,9),(5,12),(5,13),(5,17),(6,1),(6,10),(6,11),(6,13),(6,17),(8,18),(8,20),(9,14),(9,21),(10,14),(10,19),(10,21),(11,19),(11,21),(12,15),(12,21),(13,8),(13,14),(13,15),(13,19),(14,18),(14,20),(15,18),(15,20),(16,21),(17,15),(17,19),(17,21),(18,7),(19,18),(19,20),(20,7),(21,20)],22) => 1
[6,4,2,1,3,5] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,10),(1,11),(1,19),(2,9),(2,12),(2,19),(3,8),(3,12),(3,19),(4,6),(4,8),(4,10),(4,19),(5,6),(5,9),(5,11),(5,19),(6,13),(6,17),(6,18),(8,16),(8,17),(9,16),(9,18),(10,13),(10,17),(11,13),(11,18),(12,16),(13,15),(14,7),(15,7),(16,14),(17,14),(17,15),(18,14),(18,15),(19,16),(19,17),(19,18)],20) => 1
[6,4,2,1,5,3] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(1,8),(1,18),(1,21),(2,11),(2,12),(2,19),(3,9),(3,13),(3,19),(4,10),(4,13),(4,19),(5,10),(5,12),(5,14),(5,19),(6,1),(6,9),(6,11),(6,14),(6,19),(8,17),(8,20),(9,18),(9,21),(10,16),(10,21),(11,15),(11,18),(11,21),(12,15),(12,16),(13,21),(14,8),(14,15),(14,16),(14,18),(15,17),(15,20),(16,17),(16,20),(17,7),(18,17),(18,20),(19,16),(19,18),(19,21),(20,7),(21,20)],22) => 1
[6,4,2,3,1,5] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,9),(1,12),(1,15),(2,10),(2,12),(2,16),(3,11),(3,13),(3,15),(3,16),(4,8),(4,10),(4,11),(4,15),(5,8),(5,9),(5,13),(5,16),(6,18),(6,19),(8,14),(8,17),(8,20),(9,17),(9,21),(10,20),(10,21),(11,14),(11,20),(12,21),(13,6),(13,14),(13,17),(14,19),(15,17),(15,20),(15,21),(16,6),(16,20),(16,21),(17,18),(17,19),(18,7),(19,7),(20,18),(20,19),(21,18)],22) => 1
[6,4,2,3,5,1] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,17),(2,10),(2,11),(2,17),(3,8),(3,9),(3,13),(3,17),(4,7),(4,9),(4,10),(4,17),(5,7),(5,8),(5,11),(5,12),(7,15),(7,20),(7,21),(8,14),(8,15),(8,20),(9,15),(9,16),(9,21),(10,21),(11,20),(11,21),(12,14),(12,20),(13,14),(13,16),(14,19),(15,18),(15,19),(16,18),(16,19),(17,16),(17,20),(17,21),(18,6),(19,6),(20,18),(20,19),(21,18)],22) => 1
[6,4,2,5,1,3] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,9),(1,16),(1,20),(2,8),(2,16),(2,17),(3,9),(3,10),(3,17),(3,20),(4,12),(4,13),(4,16),(4,17),(4,20),(5,11),(5,13),(5,16),(5,17),(5,20),(6,8),(6,10),(6,11),(6,12),(6,20),(8,19),(8,23),(9,22),(10,15),(10,19),(10,22),(11,14),(11,15),(11,19),(11,23),(12,14),(12,15),(12,19),(12,23),(13,14),(13,22),(13,23),(14,18),(14,21),(15,18),(15,21),(16,22),(16,23),(17,19),(17,22),(17,23),(18,7),(19,18),(19,21),(20,15),(20,22),(20,23),(21,7),(22,21),(23,18),(23,21)],24) => 1
[6,4,2,5,3,1] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,14),(1,17),(1,22),(2,13),(2,17),(2,22),(3,9),(3,11),(3,17),(3,22),(4,8),(4,10),(4,17),(4,22),(5,8),(5,9),(5,12),(5,13),(5,22),(6,10),(6,11),(6,12),(6,14),(6,22),(8,15),(8,19),(8,23),(9,16),(9,19),(9,23),(10,15),(10,20),(10,23),(11,16),(11,20),(11,23),(12,15),(12,16),(12,19),(12,20),(13,19),(13,23),(14,20),(14,23),(15,18),(15,21),(16,18),(16,21),(17,23),(18,7),(19,18),(19,21),(20,18),(20,21),(21,7),(22,19),(22,20),(22,23),(23,21)],24) => 1
[6,4,3,1,2,5] => ([(0,2),(0,3),(0,4),(0,5),(1,10),(1,17),(2,7),(2,13),(3,9),(3,11),(3,13),(4,1),(4,8),(4,11),(4,13),(5,7),(5,8),(5,9),(7,16),(8,12),(8,16),(8,17),(9,12),(9,16),(10,14),(11,10),(11,12),(11,17),(12,14),(12,15),(13,16),(13,17),(14,6),(15,6),(16,15),(17,14),(17,15)],18) => 1
[6,4,3,1,5,2] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(1,12),(1,20),(1,21),(2,13),(2,14),(3,8),(3,13),(3,15),(4,9),(4,10),(4,13),(4,15),(5,7),(5,8),(5,9),(5,14),(6,1),(6,7),(6,10),(6,14),(6,15),(7,12),(7,16),(7,18),(7,20),(8,18),(8,21),(9,16),(9,18),(9,21),(10,16),(10,20),(10,21),(12,17),(12,19),(13,21),(14,20),(14,21),(15,18),(15,20),(15,21),(16,17),(16,19),(17,11),(18,17),(18,19),(19,11),(20,17),(20,19),(21,19)],22) => 1
[6,4,3,2,1,5] => ([(0,2),(0,3),(0,5),(1,8),(1,12),(2,10),(3,6),(3,10),(4,1),(4,9),(4,11),(5,4),(5,6),(5,10),(6,9),(6,11),(8,7),(9,8),(9,12),(10,11),(11,12),(12,7)],13) => 1
[6,4,3,2,5,1] => ([(0,1),(0,3),(0,4),(0,5),(1,14),(2,7),(2,8),(2,16),(3,9),(3,11),(3,14),(4,9),(4,10),(4,14),(5,2),(5,10),(5,11),(5,14),(7,13),(7,15),(8,13),(8,15),(9,12),(9,16),(10,7),(10,12),(10,16),(11,8),(11,12),(11,16),(12,13),(12,15),(13,6),(14,16),(15,6),(16,15)],17) => 1
[6,4,3,5,1,2] => ([(0,2),(0,3),(0,4),(0,5),(1,10),(1,15),(1,17),(2,7),(2,13),(3,8),(3,9),(3,13),(4,8),(4,11),(4,13),(5,1),(5,7),(5,9),(5,11),(7,17),(8,12),(8,15),(9,12),(9,15),(9,17),(10,14),(10,16),(11,10),(11,12),(11,17),(12,14),(12,16),(13,15),(13,17),(14,6),(15,14),(15,16),(16,6),(17,16)],18) => 1
[6,4,3,5,2,1] => ([(0,1),(0,3),(0,4),(0,5),(1,14),(2,7),(2,8),(2,16),(3,9),(3,11),(3,14),(4,9),(4,10),(4,14),(5,2),(5,10),(5,11),(5,14),(7,13),(7,15),(8,13),(8,15),(9,12),(9,16),(10,7),(10,12),(10,16),(11,8),(11,12),(11,16),(12,13),(12,15),(13,6),(14,16),(15,6),(16,15)],17) => 1
[6,4,5,1,2,3] => ([(0,3),(0,4),(0,5),(1,13),(2,6),(2,7),(2,14),(3,9),(3,10),(4,9),(4,11),(5,2),(5,10),(5,11),(6,12),(7,12),(7,13),(9,1),(9,14),(10,6),(10,14),(11,7),(11,14),(12,8),(13,8),(14,12),(14,13)],15) => 1
[6,4,5,1,3,2] => ([(0,2),(0,3),(0,4),(0,5),(1,14),(1,16),(2,7),(2,8),(2,9),(3,7),(3,10),(3,12),(4,8),(4,11),(4,12),(5,9),(5,10),(5,11),(7,17),(8,15),(8,17),(9,1),(9,15),(9,17),(10,13),(10,17),(11,13),(11,15),(12,13),(12,15),(12,17),(13,14),(13,16),(14,6),(15,14),(15,16),(16,6),(17,16)],18) => 1
[6,4,5,2,1,3] => ([(0,2),(0,3),(0,4),(0,5),(1,14),(1,16),(2,7),(2,8),(2,9),(3,7),(3,10),(3,12),(4,8),(4,11),(4,12),(5,9),(5,10),(5,11),(7,17),(8,15),(8,17),(9,1),(9,15),(9,17),(10,13),(10,17),(11,13),(11,15),(12,13),(12,15),(12,17),(13,14),(13,16),(14,6),(15,14),(15,16),(16,6),(17,16)],18) => 1
[6,4,5,2,3,1] => ([(0,1),(0,2),(0,3),(0,4),(1,8),(1,9),(1,15),(2,7),(2,9),(2,15),(3,6),(3,7),(3,15),(4,6),(4,8),(4,15),(6,14),(7,11),(7,14),(8,12),(8,14),(9,11),(9,12),(10,5),(11,10),(11,13),(12,10),(12,13),(13,5),(14,13),(15,11),(15,12),(15,14)],16) => 1
[6,4,5,3,1,2] => ([(0,1),(0,2),(0,3),(0,4),(1,6),(1,13),(2,8),(2,9),(2,13),(3,7),(3,9),(3,13),(4,6),(4,7),(4,8),(6,15),(7,12),(7,15),(8,11),(8,12),(8,15),(9,11),(9,12),(10,5),(11,10),(11,14),(12,10),(12,14),(13,11),(13,15),(14,5),(15,14)],16) => 1
[6,4,5,3,2,1] => ([(0,2),(0,3),(0,5),(1,8),(1,12),(2,10),(3,6),(3,10),(4,1),(4,9),(4,11),(5,4),(5,6),(5,10),(6,9),(6,11),(8,7),(9,8),(9,12),(10,11),(11,12),(12,7)],13) => 1
[6,5,1,2,3,4] => ([(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) => 1
[6,5,1,2,4,3] => ([(0,3),(0,4),(0,5),(1,13),(2,6),(2,8),(3,9),(3,10),(4,2),(4,10),(4,11),(5,1),(5,9),(5,11),(6,14),(6,15),(8,14),(9,12),(9,13),(10,8),(10,12),(11,6),(11,12),(11,13),(12,14),(12,15),(13,15),(14,7),(15,7)],16) => 1
[6,5,1,3,2,4] => ([(0,1),(0,2),(0,3),(0,5),(1,11),(1,14),(2,10),(2,13),(2,14),(3,10),(3,12),(3,14),(4,7),(4,8),(4,9),(5,4),(5,11),(5,12),(5,13),(7,17),(8,17),(8,18),(9,17),(9,18),(10,15),(11,7),(11,16),(12,8),(12,15),(12,16),(13,9),(13,15),(13,16),(14,15),(14,16),(15,18),(16,17),(16,18),(17,6),(18,6)],19) => 1
[6,5,1,3,4,2] => ([(0,1),(0,2),(0,3),(0,5),(1,11),(1,14),(2,10),(2,13),(2,14),(3,10),(3,12),(3,14),(4,7),(4,8),(4,9),(5,4),(5,11),(5,12),(5,13),(7,17),(8,17),(8,18),(9,17),(9,18),(10,15),(11,7),(11,16),(12,8),(12,15),(12,16),(13,9),(13,15),(13,16),(14,15),(14,16),(15,18),(16,17),(16,18),(17,6),(18,6)],19) => 1
[6,5,1,4,2,3] => ([(0,1),(0,2),(0,4),(0,5),(1,9),(1,16),(2,10),(2,16),(3,6),(3,7),(3,15),(4,9),(4,11),(4,16),(5,3),(5,10),(5,11),(5,16),(6,13),(7,13),(7,14),(9,12),(10,6),(10,15),(11,7),(11,12),(11,15),(12,14),(13,8),(14,8),(15,13),(15,14),(16,12),(16,15)],17) => 1
[6,5,1,4,3,2] => ([(0,3),(0,4),(0,5),(1,9),(1,13),(2,8),(2,13),(3,11),(4,2),(4,6),(4,11),(5,1),(5,6),(5,11),(6,8),(6,9),(6,13),(8,10),(8,12),(9,10),(9,12),(10,7),(11,13),(12,7),(13,12)],14) => 1
[6,5,2,1,3,4] => ([(0,3),(0,4),(0,5),(1,13),(2,6),(2,8),(3,9),(3,10),(4,2),(4,10),(4,11),(5,1),(5,9),(5,11),(6,14),(6,15),(8,14),(9,12),(9,13),(10,8),(10,12),(11,6),(11,12),(11,13),(12,14),(12,15),(13,15),(14,7),(15,7)],16) => 1
[6,5,2,1,4,3] => ([(0,2),(0,3),(0,4),(1,8),(1,9),(2,1),(2,10),(2,11),(3,6),(3,7),(3,11),(4,6),(4,7),(4,10),(6,14),(7,12),(7,14),(8,13),(8,15),(9,13),(9,15),(10,8),(10,12),(10,14),(11,9),(11,12),(11,14),(12,13),(12,15),(13,5),(14,15),(15,5)],16) => 1
[6,5,2,3,1,4] => ([(0,1),(0,2),(0,3),(0,5),(1,11),(1,14),(2,10),(2,13),(2,14),(3,10),(3,12),(3,14),(4,7),(4,8),(4,9),(5,4),(5,11),(5,12),(5,13),(7,17),(8,17),(8,18),(9,17),(9,18),(10,15),(11,7),(11,16),(12,8),(12,15),(12,16),(13,9),(13,15),(13,16),(14,15),(14,16),(15,18),(16,17),(16,18),(17,6),(18,6)],19) => 1
[6,5,2,3,4,1] => ([(0,3),(0,4),(0,5),(1,13),(2,6),(2,8),(3,9),(3,10),(4,2),(4,10),(4,11),(5,1),(5,9),(5,11),(6,14),(6,15),(8,14),(9,12),(9,13),(10,8),(10,12),(11,6),(11,12),(11,13),(12,14),(12,15),(13,15),(14,7),(15,7)],16) => 1
[6,5,2,4,1,3] => ([(0,1),(0,2),(0,3),(0,4),(0,6),(1,14),(1,18),(2,13),(2,14),(2,18),(3,12),(3,14),(3,18),(4,11),(4,14),(4,18),(5,8),(5,9),(5,10),(5,16),(6,5),(6,11),(6,12),(6,13),(6,18),(8,15),(8,19),(9,15),(9,19),(10,15),(10,19),(11,8),(11,16),(11,17),(12,9),(12,16),(12,17),(13,10),(13,16),(13,17),(14,17),(15,7),(16,15),(16,19),(17,19),(18,16),(18,17),(19,7)],20) => 1
[6,5,2,4,3,1] => ([(0,1),(0,3),(0,4),(0,5),(1,14),(2,7),(2,8),(2,16),(3,9),(3,11),(3,14),(4,9),(4,10),(4,14),(5,2),(5,10),(5,11),(5,14),(7,13),(7,15),(8,13),(8,15),(9,12),(9,16),(10,7),(10,12),(10,16),(11,8),(11,12),(11,16),(12,13),(12,15),(13,6),(14,16),(15,6),(16,15)],17) => 1
[6,5,3,1,2,4] => ([(0,1),(0,2),(0,4),(0,5),(1,9),(1,16),(2,10),(2,16),(3,6),(3,7),(3,15),(4,9),(4,11),(4,16),(5,3),(5,10),(5,11),(5,16),(6,13),(7,13),(7,14),(9,12),(10,6),(10,15),(11,7),(11,12),(11,15),(12,14),(13,8),(14,8),(15,13),(15,14),(16,12),(16,15)],17) => 1
[6,5,3,1,4,2] => ([(0,1),(0,2),(0,3),(0,4),(0,6),(1,14),(1,18),(2,13),(2,14),(2,18),(3,12),(3,14),(3,18),(4,11),(4,14),(4,18),(5,8),(5,9),(5,10),(5,16),(6,5),(6,11),(6,12),(6,13),(6,18),(8,15),(8,19),(9,15),(9,19),(10,15),(10,19),(11,8),(11,16),(11,17),(12,9),(12,16),(12,17),(13,10),(13,16),(13,17),(14,17),(15,7),(16,15),(16,19),(17,19),(18,16),(18,17),(19,7)],20) => 1
[6,5,3,2,1,4] => ([(0,3),(0,4),(0,5),(1,9),(1,13),(2,8),(2,13),(3,11),(4,2),(4,6),(4,11),(5,1),(5,6),(5,11),(6,8),(6,9),(6,13),(8,10),(8,12),(9,10),(9,12),(10,7),(11,13),(12,7),(13,12)],14) => 1
[6,5,3,2,4,1] => ([(0,1),(0,3),(0,4),(0,5),(1,14),(2,7),(2,8),(2,16),(3,9),(3,11),(3,14),(4,9),(4,10),(4,14),(5,2),(5,10),(5,11),(5,14),(7,13),(7,15),(8,13),(8,15),(9,12),(9,16),(10,7),(10,12),(10,16),(11,8),(11,12),(11,16),(12,13),(12,15),(13,6),(14,16),(15,6),(16,15)],17) => 1
[6,5,3,4,1,2] => ([(0,2),(0,3),(0,4),(1,7),(1,13),(2,6),(2,12),(3,1),(3,9),(3,12),(4,6),(4,9),(4,12),(6,10),(7,8),(7,11),(8,5),(9,7),(9,10),(9,13),(10,11),(11,5),(12,10),(12,13),(13,8),(13,11)],14) => 1
[6,5,3,4,2,1] => ([(0,3),(0,4),(0,5),(1,9),(1,13),(2,8),(2,13),(3,11),(4,2),(4,6),(4,11),(5,1),(5,6),(5,11),(6,8),(6,9),(6,13),(8,10),(8,12),(9,10),(9,12),(10,7),(11,13),(12,7),(13,12)],14) => 1
[6,5,4,1,2,3] => ([(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) => 1
[6,5,4,1,3,2] => ([(0,2),(0,3),(0,5),(1,8),(1,12),(2,10),(3,6),(3,10),(4,1),(4,9),(4,11),(5,4),(5,6),(5,10),(6,9),(6,11),(8,7),(9,8),(9,12),(10,11),(11,12),(12,7)],13) => 1
[6,5,4,2,1,3] => ([(0,2),(0,3),(0,5),(1,8),(1,12),(2,10),(3,6),(3,10),(4,1),(4,9),(4,11),(5,4),(5,6),(5,10),(6,9),(6,11),(8,7),(9,8),(9,12),(10,11),(11,12),(12,7)],13) => 1
[6,5,4,2,3,1] => ([(0,2),(0,3),(0,5),(1,8),(1,12),(2,10),(3,6),(3,10),(4,1),(4,9),(4,11),(5,4),(5,6),(5,10),(6,9),(6,11),(8,7),(9,8),(9,12),(10,11),(11,12),(12,7)],13) => 1
[6,5,4,3,1,2] => ([(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
[6,5,4,3,2,1] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 1
[1,2,3,4,5,6,7] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[1,2,3,4,5,7,6] => ([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12) => 1
[1,2,3,4,7,6,5] => ([(0,5),(0,6),(1,4),(1,14),(2,11),(3,10),(4,3),(4,12),(5,1),(5,13),(6,2),(6,13),(8,9),(9,7),(10,7),(11,8),(12,9),(12,10),(13,11),(13,14),(14,8),(14,12)],15) => 1
[1,2,3,7,6,5,4] => ([(0,5),(0,6),(1,4),(1,15),(2,3),(2,14),(3,8),(4,9),(5,2),(5,13),(6,1),(6,13),(8,10),(9,11),(10,7),(11,7),(12,10),(12,11),(13,14),(13,15),(14,8),(14,12),(15,9),(15,12)],16) => 1
[1,2,4,3,7,6,5] => ([(0,4),(0,5),(0,6),(1,18),(2,8),(2,11),(3,7),(3,12),(3,19),(4,13),(4,14),(5,3),(5,13),(5,15),(6,2),(6,14),(6,15),(7,16),(8,1),(8,20),(9,17),(9,18),(11,9),(11,20),(12,9),(12,16),(12,20),(13,7),(13,19),(14,8),(14,19),(15,11),(15,12),(15,19),(16,17),(17,10),(18,10),(19,16),(19,20),(20,17),(20,18)],21) => 1
[1,2,4,5,7,6,3] => ([(0,2),(0,4),(0,5),(0,6),(1,13),(1,24),(2,9),(2,18),(3,10),(3,12),(3,24),(4,3),(4,14),(4,15),(4,18),(5,1),(5,11),(5,15),(5,18),(6,9),(6,11),(6,14),(8,19),(9,21),(10,17),(10,22),(11,16),(11,21),(11,24),(12,8),(12,17),(12,23),(13,8),(13,23),(14,10),(14,16),(14,21),(15,12),(15,13),(15,16),(15,24),(16,17),(16,22),(16,23),(17,19),(17,20),(18,21),(18,24),(19,7),(20,7),(21,22),(22,20),(23,19),(23,20),(24,22),(24,23)],25) => 1
[1,2,5,7,6,4,3] => ([(0,2),(0,3),(0,4),(0,6),(1,11),(1,25),(2,12),(2,17),(3,13),(3,15),(3,17),(4,1),(4,13),(4,14),(4,17),(5,8),(5,9),(5,10),(6,5),(6,12),(6,14),(6,15),(8,19),(8,22),(9,22),(10,19),(10,22),(10,24),(11,18),(12,9),(12,23),(13,11),(13,16),(13,25),(14,10),(14,16),(14,23),(14,25),(15,8),(15,16),(15,23),(16,18),(16,19),(16,24),(17,23),(17,25),(18,21),(19,20),(19,21),(20,7),(21,7),(22,20),(23,22),(23,24),(24,20),(24,21),(25,18),(25,24)],26) => 1
[1,2,7,3,4,6,5] => ([(0,2),(0,4),(0,5),(0,6),(1,13),(1,24),(2,9),(2,18),(3,10),(3,12),(3,24),(4,3),(4,14),(4,15),(4,18),(5,1),(5,11),(5,15),(5,18),(6,9),(6,11),(6,14),(8,19),(9,21),(10,17),(10,22),(11,16),(11,21),(11,24),(12,8),(12,17),(12,23),(13,8),(13,23),(14,10),(14,16),(14,21),(15,12),(15,13),(15,16),(15,24),(16,17),(16,22),(16,23),(17,19),(17,20),(18,21),(18,24),(19,7),(20,7),(21,22),(22,20),(23,19),(23,20),(24,22),(24,23)],25) => 1
[1,2,7,6,3,5,4] => ([(0,2),(0,3),(0,4),(0,6),(1,11),(1,25),(2,12),(2,17),(3,13),(3,15),(3,17),(4,1),(4,13),(4,14),(4,17),(5,8),(5,9),(5,10),(6,5),(6,12),(6,14),(6,15),(8,19),(8,22),(9,22),(10,19),(10,22),(10,24),(11,18),(12,9),(12,23),(13,11),(13,16),(13,25),(14,10),(14,16),(14,23),(14,25),(15,8),(15,16),(15,23),(16,18),(16,19),(16,24),(17,23),(17,25),(18,21),(19,20),(19,21),(20,7),(21,7),(22,20),(23,22),(23,24),(24,20),(24,21),(25,18),(25,24)],26) => 1
[1,2,7,6,5,4,3] => ([(0,5),(0,6),(1,4),(1,14),(2,11),(3,10),(4,3),(4,12),(5,1),(5,13),(6,2),(6,13),(8,9),(9,7),(10,7),(11,8),(12,9),(12,10),(13,11),(13,14),(14,8),(14,12)],15) => 1
[1,3,4,5,7,6,2] => ([(0,2),(0,4),(0,5),(0,6),(1,9),(1,22),(2,10),(2,18),(3,1),(3,7),(3,12),(3,16),(4,11),(4,14),(4,18),(5,3),(5,13),(5,14),(5,18),(6,10),(6,11),(6,13),(7,17),(7,22),(7,23),(9,19),(10,21),(11,15),(11,21),(12,9),(12,17),(12,22),(13,7),(13,15),(13,21),(14,12),(14,15),(14,16),(15,17),(15,23),(16,22),(16,23),(17,19),(17,20),(18,16),(18,21),(19,8),(20,8),(21,23),(22,19),(22,20),(23,20)],24) => 1
[1,3,4,7,6,5,2] => ([(0,2),(0,3),(0,4),(0,6),(1,11),(1,25),(2,12),(2,17),(3,13),(3,15),(3,17),(4,1),(4,13),(4,14),(4,17),(5,8),(5,9),(5,10),(6,5),(6,12),(6,14),(6,15),(8,19),(8,22),(9,22),(10,19),(10,22),(10,24),(11,18),(12,9),(12,23),(13,11),(13,16),(13,25),(14,10),(14,16),(14,23),(14,25),(15,8),(15,16),(15,23),(16,18),(16,19),(16,24),(17,23),(17,25),(18,21),(19,20),(19,21),(20,7),(21,7),(22,20),(23,22),(23,24),(24,20),(24,21),(25,18),(25,24)],26) => 1
[1,4,7,6,5,3,2] => ([(0,2),(0,4),(0,5),(0,6),(1,13),(1,24),(2,9),(2,18),(3,10),(3,12),(3,24),(4,3),(4,14),(4,15),(4,18),(5,1),(5,11),(5,15),(5,18),(6,9),(6,11),(6,14),(8,19),(9,21),(10,17),(10,22),(11,16),(11,21),(11,24),(12,8),(12,17),(12,23),(13,8),(13,23),(14,10),(14,16),(14,21),(15,12),(15,13),(15,16),(15,24),(16,17),(16,22),(16,23),(17,19),(17,20),(18,21),(18,24),(19,7),(20,7),(21,22),(22,20),(23,19),(23,20),(24,22),(24,23)],25) => 1
[1,5,4,3,2,7,6] => ([(0,4),(0,5),(0,6),(1,8),(1,21),(2,9),(2,10),(3,1),(3,11),(3,12),(4,3),(4,13),(4,15),(5,2),(5,14),(5,15),(6,13),(6,14),(8,19),(9,17),(10,17),(10,21),(11,18),(11,21),(12,8),(12,18),(12,21),(13,11),(13,16),(14,9),(14,16),(15,10),(15,12),(15,16),(16,17),(16,18),(17,20),(18,19),(18,20),(19,7),(20,7),(21,19),(21,20)],22) => 1
[1,5,7,6,4,3,2] => ([(0,2),(0,4),(0,5),(0,6),(1,9),(1,22),(2,10),(2,18),(3,1),(3,7),(3,12),(3,16),(4,11),(4,14),(4,18),(5,3),(5,13),(5,14),(5,18),(6,10),(6,11),(6,13),(7,17),(7,22),(7,23),(9,19),(10,21),(11,15),(11,21),(12,9),(12,17),(12,22),(13,7),(13,15),(13,21),(14,12),(14,15),(14,16),(15,17),(15,23),(16,22),(16,23),(17,19),(17,20),(18,16),(18,21),(19,8),(20,8),(21,23),(22,19),(22,20),(23,20)],24) => 1
[1,7,2,3,4,6,5] => ([(0,2),(0,4),(0,5),(0,6),(1,9),(1,22),(2,10),(2,18),(3,1),(3,7),(3,12),(3,16),(4,11),(4,14),(4,18),(5,3),(5,13),(5,14),(5,18),(6,10),(6,11),(6,13),(7,17),(7,22),(7,23),(9,19),(10,21),(11,15),(11,21),(12,9),(12,17),(12,22),(13,7),(13,15),(13,21),(14,12),(14,15),(14,16),(15,17),(15,23),(16,22),(16,23),(17,19),(17,20),(18,16),(18,21),(19,8),(20,8),(21,23),(22,19),(22,20),(23,20)],24) => 1
[1,7,2,3,6,5,4] => ([(0,2),(0,3),(0,4),(0,6),(1,11),(1,25),(2,12),(2,17),(3,13),(3,15),(3,17),(4,1),(4,13),(4,14),(4,17),(5,8),(5,9),(5,10),(6,5),(6,12),(6,14),(6,15),(8,19),(8,22),(9,22),(10,19),(10,22),(10,24),(11,18),(12,9),(12,23),(13,11),(13,16),(13,25),(14,10),(14,16),(14,23),(14,25),(15,8),(15,16),(15,23),(16,18),(16,19),(16,24),(17,23),(17,25),(18,21),(19,20),(19,21),(20,7),(21,7),(22,20),(23,22),(23,24),(24,20),(24,21),(25,18),(25,24)],26) => 1
[1,7,6,2,5,4,3] => ([(0,2),(0,4),(0,5),(0,6),(1,13),(1,24),(2,9),(2,18),(3,10),(3,12),(3,24),(4,3),(4,14),(4,15),(4,18),(5,1),(5,11),(5,15),(5,18),(6,9),(6,11),(6,14),(8,19),(9,21),(10,17),(10,22),(11,16),(11,21),(11,24),(12,8),(12,17),(12,23),(13,8),(13,23),(14,10),(14,16),(14,21),(15,12),(15,13),(15,16),(15,24),(16,17),(16,22),(16,23),(17,19),(17,20),(18,21),(18,24),(19,7),(20,7),(21,22),(22,20),(23,19),(23,20),(24,22),(24,23)],25) => 1
[1,7,6,5,2,4,3] => ([(0,2),(0,4),(0,5),(0,6),(1,9),(1,22),(2,10),(2,18),(3,1),(3,7),(3,12),(3,16),(4,11),(4,14),(4,18),(5,3),(5,13),(5,14),(5,18),(6,10),(6,11),(6,13),(7,17),(7,22),(7,23),(9,19),(10,21),(11,15),(11,21),(12,9),(12,17),(12,22),(13,7),(13,15),(13,21),(14,12),(14,15),(14,16),(15,17),(15,23),(16,22),(16,23),(17,19),(17,20),(18,16),(18,21),(19,8),(20,8),(21,23),(22,19),(22,20),(23,20)],24) => 1
[1,7,6,5,4,3,2] => ([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12) => 1
[2,1,3,4,5,6,7] => ([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12) => 1
[2,1,3,7,6,5,4] => ([(0,4),(0,5),(0,6),(1,9),(2,7),(2,8),(3,2),(3,12),(3,13),(4,11),(4,14),(5,11),(5,15),(6,3),(6,14),(6,15),(7,18),(8,18),(8,19),(9,19),(11,1),(11,17),(12,7),(12,16),(13,8),(13,16),(14,12),(14,17),(15,13),(15,17),(16,18),(16,19),(17,9),(17,16),(18,10),(19,10)],20) => 1
[2,1,4,7,6,5,3] => ([(0,1),(0,4),(0,5),(0,6),(1,12),(1,19),(2,14),(2,15),(2,22),(3,11),(3,16),(3,26),(4,10),(4,13),(4,19),(5,2),(5,13),(5,17),(5,19),(6,3),(6,10),(6,12),(6,17),(7,23),(7,24),(8,23),(8,24),(10,20),(10,26),(11,18),(12,11),(12,26),(13,14),(13,20),(13,22),(14,8),(14,21),(15,7),(15,21),(15,25),(16,7),(16,18),(16,25),(17,15),(17,16),(17,20),(17,26),(18,24),(19,22),(19,26),(20,21),(20,25),(21,23),(22,8),(22,25),(23,9),(24,9),(25,23),(25,24),(26,18),(26,25)],27) => 1
[2,1,6,5,4,3,7] => ([(0,4),(0,5),(0,6),(1,8),(1,21),(2,9),(2,10),(3,1),(3,11),(3,12),(4,3),(4,13),(4,15),(5,2),(5,14),(5,15),(6,13),(6,14),(8,19),(9,17),(10,17),(10,21),(11,18),(11,21),(12,8),(12,18),(12,21),(13,11),(13,16),(14,9),(14,16),(15,10),(15,12),(15,16),(16,17),(16,18),(17,20),(18,19),(18,20),(19,7),(20,7),(21,19),(21,20)],22) => 1
[2,1,7,3,6,5,4] => ([(0,1),(0,4),(0,5),(0,6),(1,12),(1,19),(2,14),(2,15),(2,22),(3,11),(3,16),(3,26),(4,10),(4,13),(4,19),(5,2),(5,13),(5,17),(5,19),(6,3),(6,10),(6,12),(6,17),(7,23),(7,24),(8,23),(8,24),(10,20),(10,26),(11,18),(12,11),(12,26),(13,14),(13,20),(13,22),(14,8),(14,21),(15,7),(15,21),(15,25),(16,7),(16,18),(16,25),(17,15),(17,16),(17,20),(17,26),(18,24),(19,22),(19,26),(20,21),(20,25),(21,23),(22,8),(22,25),(23,9),(24,9),(25,23),(25,24),(26,18),(26,25)],27) => 1
[2,1,7,6,5,4,3] => ([(0,5),(0,6),(1,11),(2,3),(2,13),(3,4),(3,10),(4,9),(4,14),(5,1),(5,12),(6,2),(6,12),(7,14),(9,8),(10,9),(10,14),(11,7),(12,11),(12,13),(13,7),(13,10),(14,8)],15) => 1
[2,3,4,5,6,7,1] => ([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12) => 1
[2,3,4,5,7,1,6] => ([(0,2),(0,3),(0,4),(0,7),(1,20),(1,22),(2,10),(2,15),(3,15),(3,16),(4,9),(4,15),(4,16),(5,6),(5,13),(5,14),(5,17),(6,1),(6,11),(6,12),(6,18),(7,5),(7,9),(7,10),(7,16),(9,14),(9,17),(9,19),(10,13),(10,19),(11,20),(11,22),(12,20),(12,22),(13,12),(13,21),(14,11),(14,18),(14,21),(15,19),(16,17),(16,19),(17,18),(17,21),(18,20),(18,22),(19,21),(20,8),(21,22),(22,8)],23) => 1
[2,3,4,6,7,5,1] => ([(0,2),(0,4),(0,5),(0,6),(1,9),(1,22),(2,10),(2,18),(3,1),(3,7),(3,12),(3,16),(4,11),(4,14),(4,18),(5,3),(5,13),(5,14),(5,18),(6,10),(6,11),(6,13),(7,17),(7,22),(7,23),(9,19),(10,21),(11,15),(11,21),(12,9),(12,17),(12,22),(13,7),(13,15),(13,21),(14,12),(14,15),(14,16),(15,17),(15,23),(16,22),(16,23),(17,19),(17,20),(18,16),(18,21),(19,8),(20,8),(21,23),(22,19),(22,20),(23,20)],24) => 1
[2,3,5,6,7,4,1] => ([(0,2),(0,4),(0,5),(0,6),(1,13),(1,24),(2,9),(2,18),(3,10),(3,12),(3,24),(4,3),(4,14),(4,15),(4,18),(5,1),(5,11),(5,15),(5,18),(6,9),(6,11),(6,14),(8,19),(9,21),(10,17),(10,22),(11,16),(11,21),(11,24),(12,8),(12,17),(12,23),(13,8),(13,23),(14,10),(14,16),(14,21),(15,12),(15,13),(15,16),(15,24),(16,17),(16,22),(16,23),(17,19),(17,20),(18,21),(18,24),(19,7),(20,7),(21,22),(22,20),(23,19),(23,20),(24,22),(24,23)],25) => 1
[2,4,5,6,7,1,3] => ([(0,2),(0,3),(0,6),(0,7),(1,21),(1,22),(2,11),(2,19),(3,12),(3,19),(4,5),(4,14),(4,15),(4,20),(5,1),(5,8),(5,9),(5,18),(6,11),(6,13),(6,19),(7,4),(7,12),(7,13),(7,19),(8,21),(8,22),(9,21),(9,22),(11,16),(12,15),(12,20),(13,14),(13,16),(13,20),(14,9),(14,17),(14,18),(15,8),(15,18),(16,17),(17,22),(18,21),(18,22),(19,16),(19,20),(20,17),(20,18),(21,10),(22,10)],23) => 1
[2,5,6,7,4,3,1] => ([(0,2),(0,3),(0,4),(0,6),(1,11),(1,25),(2,12),(2,17),(3,13),(3,15),(3,17),(4,1),(4,13),(4,14),(4,17),(5,8),(5,9),(5,10),(6,5),(6,12),(6,14),(6,15),(8,19),(8,22),(9,22),(10,19),(10,22),(10,24),(11,18),(12,9),(12,23),(13,11),(13,16),(13,25),(14,10),(14,16),(14,23),(14,25),(15,8),(15,16),(15,23),(16,18),(16,19),(16,24),(17,23),(17,25),(18,21),(19,20),(19,21),(20,7),(21,7),(22,20),(23,22),(23,24),(24,20),(24,21),(25,18),(25,24)],26) => 1
[2,6,7,5,4,3,1] => ([(0,2),(0,4),(0,5),(0,6),(1,9),(1,22),(2,10),(2,18),(3,1),(3,7),(3,12),(3,16),(4,11),(4,14),(4,18),(5,3),(5,13),(5,14),(5,18),(6,10),(6,11),(6,13),(7,17),(7,22),(7,23),(9,19),(10,21),(11,15),(11,21),(12,9),(12,17),(12,22),(13,7),(13,15),(13,21),(14,12),(14,15),(14,16),(15,17),(15,23),(16,22),(16,23),(17,19),(17,20),(18,16),(18,21),(19,8),(20,8),(21,23),(22,19),(22,20),(23,20)],24) => 1
[2,7,1,3,4,5,6] => ([(0,2),(0,3),(0,4),(0,7),(1,20),(1,22),(2,10),(2,15),(3,15),(3,16),(4,9),(4,15),(4,16),(5,6),(5,13),(5,14),(5,17),(6,1),(6,11),(6,12),(6,18),(7,5),(7,9),(7,10),(7,16),(9,14),(9,17),(9,19),(10,13),(10,19),(11,20),(11,22),(12,20),(12,22),(13,12),(13,21),(14,11),(14,18),(14,21),(15,19),(16,17),(16,19),(17,18),(17,21),(18,20),(18,22),(19,21),(20,8),(21,22),(22,8)],23) => 1
[2,7,1,6,5,4,3] => ([(0,2),(0,3),(0,6),(0,7),(1,21),(1,22),(2,11),(2,19),(3,12),(3,19),(4,5),(4,14),(4,15),(4,20),(5,1),(5,8),(5,9),(5,18),(6,11),(6,13),(6,19),(7,4),(7,12),(7,13),(7,19),(8,21),(8,22),(9,21),(9,22),(11,16),(12,15),(12,20),(13,14),(13,16),(13,20),(14,9),(14,17),(14,18),(15,8),(15,18),(16,17),(17,22),(18,21),(18,22),(19,16),(19,20),(20,17),(20,18),(21,10),(22,10)],23) => 1
[2,7,6,5,4,1,3] => ([(0,2),(0,3),(0,4),(0,7),(1,20),(1,22),(2,10),(2,15),(3,15),(3,16),(4,9),(4,15),(4,16),(5,6),(5,13),(5,14),(5,17),(6,1),(6,11),(6,12),(6,18),(7,5),(7,9),(7,10),(7,16),(9,14),(9,17),(9,19),(10,13),(10,19),(11,20),(11,22),(12,20),(12,22),(13,12),(13,21),(14,11),(14,18),(14,21),(15,19),(16,17),(16,19),(17,18),(17,21),(18,20),(18,22),(19,21),(20,8),(21,22),(22,8)],23) => 1
[3,1,4,5,6,7,2] => ([(0,2),(0,3),(0,4),(0,7),(1,20),(1,22),(2,10),(2,15),(3,15),(3,16),(4,9),(4,15),(4,16),(5,6),(5,13),(5,14),(5,17),(6,1),(6,11),(6,12),(6,18),(7,5),(7,9),(7,10),(7,16),(9,14),(9,17),(9,19),(10,13),(10,19),(11,20),(11,22),(12,20),(12,22),(13,12),(13,21),(14,11),(14,18),(14,21),(15,19),(16,17),(16,19),(17,18),(17,21),(18,20),(18,22),(19,21),(20,8),(21,22),(22,8)],23) => 1
[3,1,7,6,5,4,2] => ([(0,2),(0,3),(0,6),(0,7),(1,21),(1,22),(2,11),(2,19),(3,12),(3,19),(4,5),(4,14),(4,15),(4,20),(5,1),(5,8),(5,9),(5,18),(6,11),(6,13),(6,19),(7,4),(7,12),(7,13),(7,19),(8,21),(8,22),(9,21),(9,22),(11,16),(12,15),(12,20),(13,14),(13,16),(13,20),(14,9),(14,17),(14,18),(15,8),(15,18),(16,17),(17,22),(18,21),(18,22),(19,16),(19,20),(20,17),(20,18),(21,10),(22,10)],23) => 1
[3,2,1,4,5,6,7] => ([(0,5),(0,6),(1,4),(1,14),(2,11),(3,10),(4,3),(4,12),(5,1),(5,13),(6,2),(6,13),(8,9),(9,7),(10,7),(11,8),(12,9),(12,10),(13,11),(13,14),(14,8),(14,12)],15) => 1
[3,2,1,5,4,6,7] => ([(0,4),(0,5),(0,6),(1,18),(2,8),(2,11),(3,7),(3,12),(3,19),(4,13),(4,14),(5,3),(5,13),(5,15),(6,2),(6,14),(6,15),(7,16),(8,1),(8,20),(9,17),(9,18),(11,9),(11,20),(12,9),(12,16),(12,20),(13,7),(13,19),(14,8),(14,19),(15,11),(15,12),(15,19),(16,17),(17,10),(18,10),(19,16),(19,20),(20,17),(20,18)],21) => 1
[3,2,1,7,6,5,4] => ([(0,5),(0,6),(1,14),(2,4),(2,13),(3,1),(3,11),(4,9),(4,14),(5,2),(5,12),(6,3),(6,12),(8,10),(8,15),(9,10),(9,15),(10,7),(11,8),(11,14),(12,11),(12,13),(13,8),(13,9),(14,15),(15,7)],16) => 1
[3,2,4,5,1,6,7] => ([(0,2),(0,4),(0,5),(0,6),(1,13),(1,24),(2,9),(2,18),(3,10),(3,12),(3,24),(4,3),(4,14),(4,15),(4,18),(5,1),(5,11),(5,15),(5,18),(6,9),(6,11),(6,14),(8,19),(9,21),(10,17),(10,22),(11,16),(11,21),(11,24),(12,8),(12,17),(12,23),(13,8),(13,23),(14,10),(14,16),(14,21),(15,12),(15,13),(15,16),(15,24),(16,17),(16,22),(16,23),(17,19),(17,20),(18,21),(18,24),(19,7),(20,7),(21,22),(22,20),(23,19),(23,20),(24,22),(24,23)],25) => 1
[3,2,4,5,6,1,7] => ([(0,2),(0,4),(0,5),(0,6),(1,9),(1,22),(2,10),(2,18),(3,1),(3,7),(3,12),(3,16),(4,11),(4,14),(4,18),(5,3),(5,13),(5,14),(5,18),(6,10),(6,11),(6,13),(7,17),(7,22),(7,23),(9,19),(10,21),(11,15),(11,21),(12,9),(12,17),(12,22),(13,7),(13,15),(13,21),(14,12),(14,15),(14,16),(15,17),(15,23),(16,22),(16,23),(17,19),(17,20),(18,16),(18,21),(19,8),(20,8),(21,23),(22,19),(22,20),(23,20)],24) => 1
[3,4,2,5,6,7,1] => ([(0,2),(0,4),(0,5),(0,6),(1,9),(1,22),(2,10),(2,18),(3,1),(3,7),(3,12),(3,16),(4,11),(4,14),(4,18),(5,3),(5,13),(5,14),(5,18),(6,10),(6,11),(6,13),(7,17),(7,22),(7,23),(9,19),(10,21),(11,15),(11,21),(12,9),(12,17),(12,22),(13,7),(13,15),(13,21),(14,12),(14,15),(14,16),(15,17),(15,23),(16,22),(16,23),(17,19),(17,20),(18,16),(18,21),(19,8),(20,8),(21,23),(22,19),(22,20),(23,20)],24) => 1
[3,4,5,2,6,7,1] => ([(0,2),(0,4),(0,5),(0,6),(1,13),(1,24),(2,9),(2,18),(3,10),(3,12),(3,24),(4,3),(4,14),(4,15),(4,18),(5,1),(5,11),(5,15),(5,18),(6,9),(6,11),(6,14),(8,19),(9,21),(10,17),(10,22),(11,16),(11,21),(11,24),(12,8),(12,17),(12,23),(13,8),(13,23),(14,10),(14,16),(14,21),(15,12),(15,13),(15,16),(15,24),(16,17),(16,22),(16,23),(17,19),(17,20),(18,21),(18,24),(19,7),(20,7),(21,22),(22,20),(23,19),(23,20),(24,22),(24,23)],25) => 1
[3,4,5,6,1,7,2] => ([(0,2),(0,3),(0,6),(0,7),(1,21),(1,22),(2,11),(2,19),(3,12),(3,19),(4,5),(4,14),(4,15),(4,20),(5,1),(5,8),(5,9),(5,18),(6,11),(6,13),(6,19),(7,4),(7,12),(7,13),(7,19),(8,21),(8,22),(9,21),(9,22),(11,16),(12,15),(12,20),(13,14),(13,16),(13,20),(14,9),(14,17),(14,18),(15,8),(15,18),(16,17),(17,22),(18,21),(18,22),(19,16),(19,20),(20,17),(20,18),(21,10),(22,10)],23) => 1
[3,4,5,6,7,1,2] => ([(0,5),(0,6),(1,11),(2,3),(2,13),(3,4),(3,10),(4,9),(4,14),(5,1),(5,12),(6,2),(6,12),(7,14),(9,8),(10,9),(10,14),(11,7),(12,11),(12,13),(13,7),(13,10),(14,8)],15) => 1
[3,4,5,6,7,2,1] => ([(0,5),(0,6),(1,4),(1,14),(2,11),(3,10),(4,3),(4,12),(5,1),(5,13),(6,2),(6,13),(8,9),(9,7),(10,7),(11,8),(12,9),(12,10),(13,11),(13,14),(14,8),(14,12)],15) => 1
[3,4,6,7,5,2,1] => ([(0,2),(0,3),(0,4),(0,6),(1,11),(1,25),(2,12),(2,17),(3,13),(3,15),(3,17),(4,1),(4,13),(4,14),(4,17),(5,8),(5,9),(5,10),(6,5),(6,12),(6,14),(6,15),(8,19),(8,22),(9,22),(10,19),(10,22),(10,24),(11,18),(12,9),(12,23),(13,11),(13,16),(13,25),(14,10),(14,16),(14,23),(14,25),(15,8),(15,16),(15,23),(16,18),(16,19),(16,24),(17,23),(17,25),(18,21),(19,20),(19,21),(20,7),(21,7),(22,20),(23,22),(23,24),(24,20),(24,21),(25,18),(25,24)],26) => 1
[3,5,6,7,4,1,2] => ([(0,1),(0,4),(0,5),(0,6),(1,12),(1,19),(2,14),(2,15),(2,22),(3,11),(3,16),(3,26),(4,10),(4,13),(4,19),(5,2),(5,13),(5,17),(5,19),(6,3),(6,10),(6,12),(6,17),(7,23),(7,24),(8,23),(8,24),(10,20),(10,26),(11,18),(12,11),(12,26),(13,14),(13,20),(13,22),(14,8),(14,21),(15,7),(15,21),(15,25),(16,7),(16,18),(16,25),(17,15),(17,16),(17,20),(17,26),(18,24),(19,22),(19,26),(20,21),(20,25),(21,23),(22,8),(22,25),(23,9),(24,9),(25,23),(25,24),(26,18),(26,25)],27) => 1
[3,6,7,5,4,2,1] => ([(0,2),(0,4),(0,5),(0,6),(1,13),(1,24),(2,9),(2,18),(3,10),(3,12),(3,24),(4,3),(4,14),(4,15),(4,18),(5,1),(5,11),(5,15),(5,18),(6,9),(6,11),(6,14),(8,19),(9,21),(10,17),(10,22),(11,16),(11,21),(11,24),(12,8),(12,17),(12,23),(13,8),(13,23),(14,10),(14,16),(14,21),(15,12),(15,13),(15,16),(15,24),(16,17),(16,22),(16,23),(17,19),(17,20),(18,21),(18,24),(19,7),(20,7),(21,22),(22,20),(23,19),(23,20),(24,22),(24,23)],25) => 1
[4,3,2,1,5,6,7] => ([(0,5),(0,6),(1,4),(1,15),(2,3),(2,14),(3,8),(4,9),(5,2),(5,13),(6,1),(6,13),(8,10),(9,11),(10,7),(11,7),(12,10),(12,11),(13,14),(13,15),(14,8),(14,12),(15,9),(15,12)],16) => 1
[4,3,2,1,5,7,6] => ([(0,4),(0,5),(0,6),(1,9),(2,7),(2,8),(3,2),(3,12),(3,13),(4,11),(4,14),(5,11),(5,15),(6,3),(6,14),(6,15),(7,18),(8,18),(8,19),(9,19),(11,1),(11,17),(12,7),(12,16),(13,8),(13,16),(14,12),(14,17),(15,13),(15,17),(16,18),(16,19),(17,9),(17,16),(18,10),(19,10)],20) => 1
[4,3,2,1,7,6,5] => ([(0,5),(0,6),(1,14),(2,4),(2,13),(3,1),(3,11),(4,9),(4,14),(5,2),(5,12),(6,3),(6,12),(8,10),(8,15),(9,10),(9,15),(10,7),(11,8),(11,14),(12,11),(12,13),(13,8),(13,9),(14,15),(15,7)],16) => 1
[4,3,2,5,1,7,6] => ([(0,1),(0,4),(0,5),(0,6),(1,12),(1,19),(2,14),(2,15),(2,22),(3,11),(3,16),(3,26),(4,10),(4,13),(4,19),(5,2),(5,13),(5,17),(5,19),(6,3),(6,10),(6,12),(6,17),(7,23),(7,24),(8,23),(8,24),(10,20),(10,26),(11,18),(12,11),(12,26),(13,14),(13,20),(13,22),(14,8),(14,21),(15,7),(15,21),(15,25),(16,7),(16,18),(16,25),(17,15),(17,16),(17,20),(17,26),(18,24),(19,22),(19,26),(20,21),(20,25),(21,23),(22,8),(22,25),(23,9),(24,9),(25,23),(25,24),(26,18),(26,25)],27) => 1
[4,3,2,5,6,1,7] => ([(0,2),(0,3),(0,4),(0,6),(1,11),(1,25),(2,12),(2,17),(3,13),(3,15),(3,17),(4,1),(4,13),(4,14),(4,17),(5,8),(5,9),(5,10),(6,5),(6,12),(6,14),(6,15),(8,19),(8,22),(9,22),(10,19),(10,22),(10,24),(11,18),(12,9),(12,23),(13,11),(13,16),(13,25),(14,10),(14,16),(14,23),(14,25),(15,8),(15,16),(15,23),(16,18),(16,19),(16,24),(17,23),(17,25),(18,21),(19,20),(19,21),(20,7),(21,7),(22,20),(23,22),(23,24),(24,20),(24,21),(25,18),(25,24)],26) => 1
[4,3,5,2,1,6,7] => ([(0,2),(0,3),(0,4),(0,6),(1,11),(1,25),(2,12),(2,17),(3,13),(3,15),(3,17),(4,1),(4,13),(4,14),(4,17),(5,8),(5,9),(5,10),(6,5),(6,12),(6,14),(6,15),(8,19),(8,22),(9,22),(10,19),(10,22),(10,24),(11,18),(12,9),(12,23),(13,11),(13,16),(13,25),(14,10),(14,16),(14,23),(14,25),(15,8),(15,16),(15,23),(16,18),(16,19),(16,24),(17,23),(17,25),(18,21),(19,20),(19,21),(20,7),(21,7),(22,20),(23,22),(23,24),(24,20),(24,21),(25,18),(25,24)],26) => 1
[4,5,3,6,7,2,1] => ([(0,2),(0,3),(0,4),(0,6),(1,11),(1,25),(2,12),(2,17),(3,13),(3,15),(3,17),(4,1),(4,13),(4,14),(4,17),(5,8),(5,9),(5,10),(6,5),(6,12),(6,14),(6,15),(8,19),(8,22),(9,22),(10,19),(10,22),(10,24),(11,18),(12,9),(12,23),(13,11),(13,16),(13,25),(14,10),(14,16),(14,23),(14,25),(15,8),(15,16),(15,23),(16,18),(16,19),(16,24),(17,23),(17,25),(18,21),(19,20),(19,21),(20,7),(21,7),(22,20),(23,22),(23,24),(24,20),(24,21),(25,18),(25,24)],26) => 1
[4,5,6,3,2,7,1] => ([(0,2),(0,3),(0,4),(0,6),(1,11),(1,25),(2,12),(2,17),(3,13),(3,15),(3,17),(4,1),(4,13),(4,14),(4,17),(5,8),(5,9),(5,10),(6,5),(6,12),(6,14),(6,15),(8,19),(8,22),(9,22),(10,19),(10,22),(10,24),(11,18),(12,9),(12,23),(13,11),(13,16),(13,25),(14,10),(14,16),(14,23),(14,25),(15,8),(15,16),(15,23),(16,18),(16,19),(16,24),(17,23),(17,25),(18,21),(19,20),(19,21),(20,7),(21,7),(22,20),(23,22),(23,24),(24,20),(24,21),(25,18),(25,24)],26) => 1
[4,5,6,3,7,1,2] => ([(0,1),(0,4),(0,5),(0,6),(1,12),(1,19),(2,14),(2,15),(2,22),(3,11),(3,16),(3,26),(4,10),(4,13),(4,19),(5,2),(5,13),(5,17),(5,19),(6,3),(6,10),(6,12),(6,17),(7,23),(7,24),(8,23),(8,24),(10,20),(10,26),(11,18),(12,11),(12,26),(13,14),(13,20),(13,22),(14,8),(14,21),(15,7),(15,21),(15,25),(16,7),(16,18),(16,25),(17,15),(17,16),(17,20),(17,26),(18,24),(19,22),(19,26),(20,21),(20,25),(21,23),(22,8),(22,25),(23,9),(24,9),(25,23),(25,24),(26,18),(26,25)],27) => 1
[4,5,6,7,1,2,3] => ([(0,5),(0,6),(1,14),(2,4),(2,13),(3,1),(3,11),(4,9),(4,14),(5,2),(5,12),(6,3),(6,12),(8,10),(8,15),(9,10),(9,15),(10,7),(11,8),(11,14),(12,11),(12,13),(13,8),(13,9),(14,15),(15,7)],16) => 1
[4,5,6,7,3,1,2] => ([(0,4),(0,5),(0,6),(1,9),(2,7),(2,8),(3,2),(3,12),(3,13),(4,11),(4,14),(5,11),(5,15),(6,3),(6,14),(6,15),(7,18),(8,18),(8,19),(9,19),(11,1),(11,17),(12,7),(12,16),(13,8),(13,16),(14,12),(14,17),(15,13),(15,17),(16,18),(16,19),(17,9),(17,16),(18,10),(19,10)],20) => 1
[4,5,6,7,3,2,1] => ([(0,5),(0,6),(1,4),(1,15),(2,3),(2,14),(3,8),(4,9),(5,2),(5,13),(6,1),(6,13),(8,10),(9,11),(10,7),(11,7),(12,10),(12,11),(13,14),(13,15),(14,8),(14,12),(15,9),(15,12)],16) => 1
[5,2,1,3,4,6,7] => ([(0,2),(0,4),(0,5),(0,6),(1,13),(1,24),(2,9),(2,18),(3,10),(3,12),(3,24),(4,3),(4,14),(4,15),(4,18),(5,1),(5,11),(5,15),(5,18),(6,9),(6,11),(6,14),(8,19),(9,21),(10,17),(10,22),(11,16),(11,21),(11,24),(12,8),(12,17),(12,23),(13,8),(13,23),(14,10),(14,16),(14,21),(15,12),(15,13),(15,16),(15,24),(16,17),(16,22),(16,23),(17,19),(17,20),(18,21),(18,24),(19,7),(20,7),(21,22),(22,20),(23,19),(23,20),(24,22),(24,23)],25) => 1
[5,3,2,1,4,7,6] => ([(0,1),(0,4),(0,5),(0,6),(1,12),(1,19),(2,14),(2,15),(2,22),(3,11),(3,16),(3,26),(4,10),(4,13),(4,19),(5,2),(5,13),(5,17),(5,19),(6,3),(6,10),(6,12),(6,17),(7,23),(7,24),(8,23),(8,24),(10,20),(10,26),(11,18),(12,11),(12,26),(13,14),(13,20),(13,22),(14,8),(14,21),(15,7),(15,21),(15,25),(16,7),(16,18),(16,25),(17,15),(17,16),(17,20),(17,26),(18,24),(19,22),(19,26),(20,21),(20,25),(21,23),(22,8),(22,25),(23,9),(24,9),(25,23),(25,24),(26,18),(26,25)],27) => 1
[5,4,2,1,3,6,7] => ([(0,2),(0,3),(0,4),(0,6),(1,11),(1,25),(2,12),(2,17),(3,13),(3,15),(3,17),(4,1),(4,13),(4,14),(4,17),(5,8),(5,9),(5,10),(6,5),(6,12),(6,14),(6,15),(8,19),(8,22),(9,22),(10,19),(10,22),(10,24),(11,18),(12,9),(12,23),(13,11),(13,16),(13,25),(14,10),(14,16),(14,23),(14,25),(15,8),(15,16),(15,23),(16,18),(16,19),(16,24),(17,23),(17,25),(18,21),(19,20),(19,21),(20,7),(21,7),(22,20),(23,22),(23,24),(24,20),(24,21),(25,18),(25,24)],26) => 1
[5,4,3,2,1,6,7] => ([(0,5),(0,6),(1,4),(1,14),(2,11),(3,10),(4,3),(4,12),(5,1),(5,13),(6,2),(6,13),(8,9),(9,7),(10,7),(11,8),(12,9),(12,10),(13,11),(13,14),(14,8),(14,12)],15) => 1
[5,4,3,2,1,7,6] => ([(0,5),(0,6),(1,11),(2,3),(2,13),(3,4),(3,10),(4,9),(4,14),(5,1),(5,12),(6,2),(6,12),(7,14),(9,8),(10,9),(10,14),(11,7),(12,11),(12,13),(13,7),(13,10),(14,8)],15) => 1
[5,4,3,2,7,1,6] => ([(0,2),(0,3),(0,6),(0,7),(1,21),(1,22),(2,11),(2,19),(3,12),(3,19),(4,5),(4,14),(4,15),(4,20),(5,1),(5,8),(5,9),(5,18),(6,11),(6,13),(6,19),(7,4),(7,12),(7,13),(7,19),(8,21),(8,22),(9,21),(9,22),(11,16),(12,15),(12,20),(13,14),(13,16),(13,20),(14,9),(14,17),(14,18),(15,8),(15,18),(16,17),(17,22),(18,21),(18,22),(19,16),(19,20),(20,17),(20,18),(21,10),(22,10)],23) => 1
[5,4,3,6,2,1,7] => ([(0,2),(0,4),(0,5),(0,6),(1,13),(1,24),(2,9),(2,18),(3,10),(3,12),(3,24),(4,3),(4,14),(4,15),(4,18),(5,1),(5,11),(5,15),(5,18),(6,9),(6,11),(6,14),(8,19),(9,21),(10,17),(10,22),(11,16),(11,21),(11,24),(12,8),(12,17),(12,23),(13,8),(13,23),(14,10),(14,16),(14,21),(15,12),(15,13),(15,16),(15,24),(16,17),(16,22),(16,23),(17,19),(17,20),(18,21),(18,24),(19,7),(20,7),(21,22),(22,20),(23,19),(23,20),(24,22),(24,23)],25) => 1
[5,4,6,3,2,1,7] => ([(0,2),(0,4),(0,5),(0,6),(1,9),(1,22),(2,10),(2,18),(3,1),(3,7),(3,12),(3,16),(4,11),(4,14),(4,18),(5,3),(5,13),(5,14),(5,18),(6,10),(6,11),(6,13),(7,17),(7,22),(7,23),(9,19),(10,21),(11,15),(11,21),(12,9),(12,17),(12,22),(13,7),(13,15),(13,21),(14,12),(14,15),(14,16),(15,17),(15,23),(16,22),(16,23),(17,19),(17,20),(18,16),(18,21),(19,8),(20,8),(21,23),(22,19),(22,20),(23,20)],24) => 1
[5,6,4,3,2,7,1] => ([(0,2),(0,4),(0,5),(0,6),(1,9),(1,22),(2,10),(2,18),(3,1),(3,7),(3,12),(3,16),(4,11),(4,14),(4,18),(5,3),(5,13),(5,14),(5,18),(6,10),(6,11),(6,13),(7,17),(7,22),(7,23),(9,19),(10,21),(11,15),(11,21),(12,9),(12,17),(12,22),(13,7),(13,15),(13,21),(14,12),(14,15),(14,16),(15,17),(15,23),(16,22),(16,23),(17,19),(17,20),(18,16),(18,21),(19,8),(20,8),(21,23),(22,19),(22,20),(23,20)],24) => 1
[5,6,4,3,7,2,1] => ([(0,2),(0,4),(0,5),(0,6),(1,13),(1,24),(2,9),(2,18),(3,10),(3,12),(3,24),(4,3),(4,14),(4,15),(4,18),(5,1),(5,11),(5,15),(5,18),(6,9),(6,11),(6,14),(8,19),(9,21),(10,17),(10,22),(11,16),(11,21),(11,24),(12,8),(12,17),(12,23),(13,8),(13,23),(14,10),(14,16),(14,21),(15,12),(15,13),(15,16),(15,24),(16,17),(16,22),(16,23),(17,19),(17,20),(18,21),(18,24),(19,7),(20,7),(21,22),(22,20),(23,19),(23,20),(24,22),(24,23)],25) => 1
[5,6,7,1,2,3,4] => ([(0,5),(0,6),(1,14),(2,4),(2,13),(3,1),(3,11),(4,9),(4,14),(5,2),(5,12),(6,3),(6,12),(8,10),(8,15),(9,10),(9,15),(10,7),(11,8),(11,14),(12,11),(12,13),(13,8),(13,9),(14,15),(15,7)],16) => 1
[5,6,7,3,4,2,1] => ([(0,4),(0,5),(0,6),(1,18),(2,8),(2,11),(3,7),(3,12),(3,19),(4,13),(4,14),(5,3),(5,13),(5,15),(6,2),(6,14),(6,15),(7,16),(8,1),(8,20),(9,17),(9,18),(11,9),(11,20),(12,9),(12,16),(12,20),(13,7),(13,19),(14,8),(14,19),(15,11),(15,12),(15,19),(16,17),(17,10),(18,10),(19,16),(19,20),(20,17),(20,18)],21) => 1
[5,6,7,4,3,2,1] => ([(0,5),(0,6),(1,4),(1,14),(2,11),(3,10),(4,3),(4,12),(5,1),(5,13),(6,2),(6,13),(8,9),(9,7),(10,7),(11,8),(12,9),(12,10),(13,11),(13,14),(14,8),(14,12)],15) => 1
[5,7,1,2,3,4,6] => ([(0,2),(0,3),(0,6),(0,7),(1,21),(1,22),(2,11),(2,19),(3,12),(3,19),(4,5),(4,14),(4,15),(4,20),(5,1),(5,8),(5,9),(5,18),(6,11),(6,13),(6,19),(7,4),(7,12),(7,13),(7,19),(8,21),(8,22),(9,21),(9,22),(11,16),(12,15),(12,20),(13,14),(13,16),(13,20),(14,9),(14,17),(14,18),(15,8),(15,18),(16,17),(17,22),(18,21),(18,22),(19,16),(19,20),(20,17),(20,18),(21,10),(22,10)],23) => 1
[5,7,4,3,2,1,6] => ([(0,2),(0,3),(0,4),(0,7),(1,20),(1,22),(2,10),(2,15),(3,15),(3,16),(4,9),(4,15),(4,16),(5,6),(5,13),(5,14),(5,17),(6,1),(6,11),(6,12),(6,18),(7,5),(7,9),(7,10),(7,16),(9,14),(9,17),(9,19),(10,13),(10,19),(11,20),(11,22),(12,20),(12,22),(13,12),(13,21),(14,11),(14,18),(14,21),(15,19),(16,17),(16,19),(17,18),(17,21),(18,20),(18,22),(19,21),(20,8),(21,22),(22,8)],23) => 1
[6,1,2,3,4,7,5] => ([(0,2),(0,3),(0,4),(0,7),(1,20),(1,22),(2,10),(2,15),(3,15),(3,16),(4,9),(4,15),(4,16),(5,6),(5,13),(5,14),(5,17),(6,1),(6,11),(6,12),(6,18),(7,5),(7,9),(7,10),(7,16),(9,14),(9,17),(9,19),(10,13),(10,19),(11,20),(11,22),(12,20),(12,22),(13,12),(13,21),(14,11),(14,18),(14,21),(15,19),(16,17),(16,19),(17,18),(17,21),(18,20),(18,22),(19,21),(20,8),(21,22),(22,8)],23) => 1
[6,1,7,2,3,4,5] => ([(0,2),(0,3),(0,6),(0,7),(1,21),(1,22),(2,11),(2,19),(3,12),(3,19),(4,5),(4,14),(4,15),(4,20),(5,1),(5,8),(5,9),(5,18),(6,11),(6,13),(6,19),(7,4),(7,12),(7,13),(7,19),(8,21),(8,22),(9,21),(9,22),(11,16),(12,15),(12,20),(13,14),(13,16),(13,20),(14,9),(14,17),(14,18),(15,8),(15,18),(16,17),(17,22),(18,21),(18,22),(19,16),(19,20),(20,17),(20,18),(21,10),(22,10)],23) => 1
[6,1,7,5,4,3,2] => ([(0,2),(0,3),(0,4),(0,7),(1,20),(1,22),(2,10),(2,15),(3,15),(3,16),(4,9),(4,15),(4,16),(5,6),(5,13),(5,14),(5,17),(6,1),(6,11),(6,12),(6,18),(7,5),(7,9),(7,10),(7,16),(9,14),(9,17),(9,19),(10,13),(10,19),(11,20),(11,22),(12,20),(12,22),(13,12),(13,21),(14,11),(14,18),(14,21),(15,19),(16,17),(16,19),(17,18),(17,21),(18,20),(18,22),(19,21),(20,8),(21,22),(22,8)],23) => 1
[6,2,1,3,4,5,7] => ([(0,2),(0,4),(0,5),(0,6),(1,9),(1,22),(2,10),(2,18),(3,1),(3,7),(3,12),(3,16),(4,11),(4,14),(4,18),(5,3),(5,13),(5,14),(5,18),(6,10),(6,11),(6,13),(7,17),(7,22),(7,23),(9,19),(10,21),(11,15),(11,21),(12,9),(12,17),(12,22),(13,7),(13,15),(13,21),(14,12),(14,15),(14,16),(15,17),(15,23),(16,22),(16,23),(17,19),(17,20),(18,16),(18,21),(19,8),(20,8),(21,23),(22,19),(22,20),(23,20)],24) => 1
[6,3,2,1,4,5,7] => ([(0,2),(0,3),(0,4),(0,6),(1,11),(1,25),(2,12),(2,17),(3,13),(3,15),(3,17),(4,1),(4,13),(4,14),(4,17),(5,8),(5,9),(5,10),(6,5),(6,12),(6,14),(6,15),(8,19),(8,22),(9,22),(10,19),(10,22),(10,24),(11,18),(12,9),(12,23),(13,11),(13,16),(13,25),(14,10),(14,16),(14,23),(14,25),(15,8),(15,16),(15,23),(16,18),(16,19),(16,24),(17,23),(17,25),(18,21),(19,20),(19,21),(20,7),(21,7),(22,20),(23,22),(23,24),(24,20),(24,21),(25,18),(25,24)],26) => 1
[6,4,3,2,1,7,5] => ([(0,2),(0,3),(0,6),(0,7),(1,21),(1,22),(2,11),(2,19),(3,12),(3,19),(4,5),(4,14),(4,15),(4,20),(5,1),(5,8),(5,9),(5,18),(6,11),(6,13),(6,19),(7,4),(7,12),(7,13),(7,19),(8,21),(8,22),(9,21),(9,22),(11,16),(12,15),(12,20),(13,14),(13,16),(13,20),(14,9),(14,17),(14,18),(15,8),(15,18),(16,17),(17,22),(18,21),(18,22),(19,16),(19,20),(20,17),(20,18),(21,10),(22,10)],23) => 1
[6,5,3,2,1,4,7] => ([(0,2),(0,4),(0,5),(0,6),(1,13),(1,24),(2,9),(2,18),(3,10),(3,12),(3,24),(4,3),(4,14),(4,15),(4,18),(5,1),(5,11),(5,15),(5,18),(6,9),(6,11),(6,14),(8,19),(9,21),(10,17),(10,22),(11,16),(11,21),(11,24),(12,8),(12,17),(12,23),(13,8),(13,23),(14,10),(14,16),(14,21),(15,12),(15,13),(15,16),(15,24),(16,17),(16,22),(16,23),(17,19),(17,20),(18,21),(18,24),(19,7),(20,7),(21,22),(22,20),(23,19),(23,20),(24,22),(24,23)],25) => 1
[6,5,4,2,1,3,7] => ([(0,2),(0,4),(0,5),(0,6),(1,9),(1,22),(2,10),(2,18),(3,1),(3,7),(3,12),(3,16),(4,11),(4,14),(4,18),(5,3),(5,13),(5,14),(5,18),(6,10),(6,11),(6,13),(7,17),(7,22),(7,23),(9,19),(10,21),(11,15),(11,21),(12,9),(12,17),(12,22),(13,7),(13,15),(13,21),(14,12),(14,15),(14,16),(15,17),(15,23),(16,22),(16,23),(17,19),(17,20),(18,16),(18,21),(19,8),(20,8),(21,23),(22,19),(22,20),(23,20)],24) => 1
[6,5,4,3,1,7,2] => ([(0,2),(0,3),(0,4),(0,7),(1,20),(1,22),(2,10),(2,15),(3,15),(3,16),(4,9),(4,15),(4,16),(5,6),(5,13),(5,14),(5,17),(6,1),(6,11),(6,12),(6,18),(7,5),(7,9),(7,10),(7,16),(9,14),(9,17),(9,19),(10,13),(10,19),(11,20),(11,22),(12,20),(12,22),(13,12),(13,21),(14,11),(14,18),(14,21),(15,19),(16,17),(16,19),(17,18),(17,21),(18,20),(18,22),(19,21),(20,8),(21,22),(22,8)],23) => 1
[6,5,4,3,2,1,7] => ([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12) => 1
[6,7,1,2,3,4,5] => ([(0,5),(0,6),(1,11),(2,3),(2,13),(3,4),(3,10),(4,9),(4,14),(5,1),(5,12),(6,2),(6,12),(7,14),(9,8),(10,9),(10,14),(11,7),(12,11),(12,13),(13,7),(13,10),(14,8)],15) => 1
[6,7,1,5,2,3,4] => ([(0,1),(0,4),(0,5),(0,6),(1,12),(1,19),(2,14),(2,15),(2,22),(3,11),(3,16),(3,26),(4,10),(4,13),(4,19),(5,2),(5,13),(5,17),(5,19),(6,3),(6,10),(6,12),(6,17),(7,23),(7,24),(8,23),(8,24),(10,20),(10,26),(11,18),(12,11),(12,26),(13,14),(13,20),(13,22),(14,8),(14,21),(15,7),(15,21),(15,25),(16,7),(16,18),(16,25),(17,15),(17,16),(17,20),(17,26),(18,24),(19,22),(19,26),(20,21),(20,25),(21,23),(22,8),(22,25),(23,9),(24,9),(25,23),(25,24),(26,18),(26,25)],27) => 1
[6,7,2,3,4,5,1] => ([(0,4),(0,5),(0,6),(1,8),(1,21),(2,9),(2,10),(3,1),(3,11),(3,12),(4,3),(4,13),(4,15),(5,2),(5,14),(5,15),(6,13),(6,14),(8,19),(9,17),(10,17),(10,21),(11,18),(11,21),(12,8),(12,18),(12,21),(13,11),(13,16),(14,9),(14,16),(15,10),(15,12),(15,16),(16,17),(16,18),(17,20),(18,19),(18,20),(19,7),(20,7),(21,19),(21,20)],22) => 1
[6,7,4,1,2,3,5] => ([(0,1),(0,4),(0,5),(0,6),(1,12),(1,19),(2,14),(2,15),(2,22),(3,11),(3,16),(3,26),(4,10),(4,13),(4,19),(5,2),(5,13),(5,17),(5,19),(6,3),(6,10),(6,12),(6,17),(7,23),(7,24),(8,23),(8,24),(10,20),(10,26),(11,18),(12,11),(12,26),(13,14),(13,20),(13,22),(14,8),(14,21),(15,7),(15,21),(15,25),(16,7),(16,18),(16,25),(17,15),(17,16),(17,20),(17,26),(18,24),(19,22),(19,26),(20,21),(20,25),(21,23),(22,8),(22,25),(23,9),(24,9),(25,23),(25,24),(26,18),(26,25)],27) => 1
[6,7,5,1,2,3,4] => ([(0,4),(0,5),(0,6),(1,9),(2,7),(2,8),(3,2),(3,12),(3,13),(4,11),(4,14),(5,11),(5,15),(6,3),(6,14),(6,15),(7,18),(8,18),(8,19),(9,19),(11,1),(11,17),(12,7),(12,16),(13,8),(13,16),(14,12),(14,17),(15,13),(15,17),(16,18),(16,19),(17,9),(17,16),(18,10),(19,10)],20) => 1
[6,7,5,4,3,2,1] => ([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12) => 1
[7,1,2,3,4,5,6] => ([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12) => 1
[7,1,2,3,6,4,5] => ([(0,2),(0,4),(0,5),(0,6),(1,9),(1,22),(2,10),(2,18),(3,1),(3,7),(3,12),(3,16),(4,11),(4,14),(4,18),(5,3),(5,13),(5,14),(5,18),(6,10),(6,11),(6,13),(7,17),(7,22),(7,23),(9,19),(10,21),(11,15),(11,21),(12,9),(12,17),(12,22),(13,7),(13,15),(13,21),(14,12),(14,15),(14,16),(15,17),(15,23),(16,22),(16,23),(17,19),(17,20),(18,16),(18,21),(19,8),(20,8),(21,23),(22,19),(22,20),(23,20)],24) => 1
[7,1,2,6,3,4,5] => ([(0,2),(0,4),(0,5),(0,6),(1,13),(1,24),(2,9),(2,18),(3,10),(3,12),(3,24),(4,3),(4,14),(4,15),(4,18),(5,1),(5,11),(5,15),(5,18),(6,9),(6,11),(6,14),(8,19),(9,21),(10,17),(10,22),(11,16),(11,21),(11,24),(12,8),(12,17),(12,23),(13,8),(13,23),(14,10),(14,16),(14,21),(15,12),(15,13),(15,16),(15,24),(16,17),(16,22),(16,23),(17,19),(17,20),(18,21),(18,24),(19,7),(20,7),(21,22),(22,20),(23,19),(23,20),(24,22),(24,23)],25) => 1
[7,1,6,5,2,3,4] => ([(0,2),(0,3),(0,4),(0,6),(1,11),(1,25),(2,12),(2,17),(3,13),(3,15),(3,17),(4,1),(4,13),(4,14),(4,17),(5,8),(5,9),(5,10),(6,5),(6,12),(6,14),(6,15),(8,19),(8,22),(9,22),(10,19),(10,22),(10,24),(11,18),(12,9),(12,23),(13,11),(13,16),(13,25),(14,10),(14,16),(14,23),(14,25),(15,8),(15,16),(15,23),(16,18),(16,19),(16,24),(17,23),(17,25),(18,21),(19,20),(19,21),(20,7),(21,7),(22,20),(23,22),(23,24),(24,20),(24,21),(25,18),(25,24)],26) => 1
[7,1,6,5,4,2,3] => ([(0,2),(0,4),(0,5),(0,6),(1,9),(1,22),(2,10),(2,18),(3,1),(3,7),(3,12),(3,16),(4,11),(4,14),(4,18),(5,3),(5,13),(5,14),(5,18),(6,10),(6,11),(6,13),(7,17),(7,22),(7,23),(9,19),(10,21),(11,15),(11,21),(12,9),(12,17),(12,22),(13,7),(13,15),(13,21),(14,12),(14,15),(14,16),(15,17),(15,23),(16,22),(16,23),(17,19),(17,20),(18,16),(18,21),(19,8),(20,8),(21,23),(22,19),(22,20),(23,20)],24) => 1
[7,3,1,2,4,5,6] => ([(0,2),(0,4),(0,5),(0,6),(1,9),(1,22),(2,10),(2,18),(3,1),(3,7),(3,12),(3,16),(4,11),(4,14),(4,18),(5,3),(5,13),(5,14),(5,18),(6,10),(6,11),(6,13),(7,17),(7,22),(7,23),(9,19),(10,21),(11,15),(11,21),(12,9),(12,17),(12,22),(13,7),(13,15),(13,21),(14,12),(14,15),(14,16),(15,17),(15,23),(16,22),(16,23),(17,19),(17,20),(18,16),(18,21),(19,8),(20,8),(21,23),(22,19),(22,20),(23,20)],24) => 1
[7,3,4,5,6,1,2] => ([(0,4),(0,5),(0,6),(1,8),(1,21),(2,9),(2,10),(3,1),(3,11),(3,12),(4,3),(4,13),(4,15),(5,2),(5,14),(5,15),(6,13),(6,14),(8,19),(9,17),(10,17),(10,21),(11,18),(11,21),(12,8),(12,18),(12,21),(13,11),(13,16),(14,9),(14,16),(15,10),(15,12),(15,16),(16,17),(16,18),(17,20),(18,19),(18,20),(19,7),(20,7),(21,19),(21,20)],22) => 1
[7,4,1,2,3,5,6] => ([(0,2),(0,4),(0,5),(0,6),(1,13),(1,24),(2,9),(2,18),(3,10),(3,12),(3,24),(4,3),(4,14),(4,15),(4,18),(5,1),(5,11),(5,15),(5,18),(6,9),(6,11),(6,14),(8,19),(9,21),(10,17),(10,22),(11,16),(11,21),(11,24),(12,8),(12,17),(12,23),(13,8),(13,23),(14,10),(14,16),(14,21),(15,12),(15,13),(15,16),(15,24),(16,17),(16,22),(16,23),(17,19),(17,20),(18,21),(18,24),(19,7),(20,7),(21,22),(22,20),(23,19),(23,20),(24,22),(24,23)],25) => 1
[7,5,4,1,2,3,6] => ([(0,2),(0,3),(0,4),(0,6),(1,11),(1,25),(2,12),(2,17),(3,13),(3,15),(3,17),(4,1),(4,13),(4,14),(4,17),(5,8),(5,9),(5,10),(6,5),(6,12),(6,14),(6,15),(8,19),(8,22),(9,22),(10,19),(10,22),(10,24),(11,18),(12,9),(12,23),(13,11),(13,16),(13,25),(14,10),(14,16),(14,23),(14,25),(15,8),(15,16),(15,23),(16,18),(16,19),(16,24),(17,23),(17,25),(18,21),(19,20),(19,21),(20,7),(21,7),(22,20),(23,22),(23,24),(24,20),(24,21),(25,18),(25,24)],26) => 1
[7,5,4,3,1,2,6] => ([(0,2),(0,4),(0,5),(0,6),(1,9),(1,22),(2,10),(2,18),(3,1),(3,7),(3,12),(3,16),(4,11),(4,14),(4,18),(5,3),(5,13),(5,14),(5,18),(6,10),(6,11),(6,13),(7,17),(7,22),(7,23),(9,19),(10,21),(11,15),(11,21),(12,9),(12,17),(12,22),(13,7),(13,15),(13,21),(14,12),(14,15),(14,16),(15,17),(15,23),(16,22),(16,23),(17,19),(17,20),(18,16),(18,21),(19,8),(20,8),(21,23),(22,19),(22,20),(23,20)],24) => 1
[7,6,1,2,3,4,5] => ([(0,5),(0,6),(1,4),(1,14),(2,11),(3,10),(4,3),(4,12),(5,1),(5,13),(6,2),(6,13),(8,9),(9,7),(10,7),(11,8),(12,9),(12,10),(13,11),(13,14),(14,8),(14,12)],15) => 1
[7,6,1,2,5,3,4] => ([(0,2),(0,3),(0,4),(0,6),(1,11),(1,25),(2,12),(2,17),(3,13),(3,15),(3,17),(4,1),(4,13),(4,14),(4,17),(5,8),(5,9),(5,10),(6,5),(6,12),(6,14),(6,15),(8,19),(8,22),(9,22),(10,19),(10,22),(10,24),(11,18),(12,9),(12,23),(13,11),(13,16),(13,25),(14,10),(14,16),(14,23),(14,25),(15,8),(15,16),(15,23),(16,18),(16,19),(16,24),(17,23),(17,25),(18,21),(19,20),(19,21),(20,7),(21,7),(22,20),(23,22),(23,24),(24,20),(24,21),(25,18),(25,24)],26) => 1
[7,6,1,5,4,2,3] => ([(0,2),(0,4),(0,5),(0,6),(1,13),(1,24),(2,9),(2,18),(3,10),(3,12),(3,24),(4,3),(4,14),(4,15),(4,18),(5,1),(5,11),(5,15),(5,18),(6,9),(6,11),(6,14),(8,19),(9,21),(10,17),(10,22),(11,16),(11,21),(11,24),(12,8),(12,17),(12,23),(13,8),(13,23),(14,10),(14,16),(14,21),(15,12),(15,13),(15,16),(15,24),(16,17),(16,22),(16,23),(17,19),(17,20),(18,21),(18,24),(19,7),(20,7),(21,22),(22,20),(23,19),(23,20),(24,22),(24,23)],25) => 1
[7,6,3,1,2,4,5] => ([(0,2),(0,3),(0,4),(0,6),(1,11),(1,25),(2,12),(2,17),(3,13),(3,15),(3,17),(4,1),(4,13),(4,14),(4,17),(5,8),(5,9),(5,10),(6,5),(6,12),(6,14),(6,15),(8,19),(8,22),(9,22),(10,19),(10,22),(10,24),(11,18),(12,9),(12,23),(13,11),(13,16),(13,25),(14,10),(14,16),(14,23),(14,25),(15,8),(15,16),(15,23),(16,18),(16,19),(16,24),(17,23),(17,25),(18,21),(19,20),(19,21),(20,7),(21,7),(22,20),(23,22),(23,24),(24,20),(24,21),(25,18),(25,24)],26) => 1
[7,6,4,3,1,2,5] => ([(0,2),(0,4),(0,5),(0,6),(1,13),(1,24),(2,9),(2,18),(3,10),(3,12),(3,24),(4,3),(4,14),(4,15),(4,18),(5,1),(5,11),(5,15),(5,18),(6,9),(6,11),(6,14),(8,19),(9,21),(10,17),(10,22),(11,16),(11,21),(11,24),(12,8),(12,17),(12,23),(13,8),(13,23),(14,10),(14,16),(14,21),(15,12),(15,13),(15,16),(15,24),(16,17),(16,22),(16,23),(17,19),(17,20),(18,21),(18,24),(19,7),(20,7),(21,22),(22,20),(23,19),(23,20),(24,22),(24,23)],25) => 1
[7,6,4,5,1,2,3] => ([(0,4),(0,5),(0,6),(1,18),(2,8),(2,11),(3,7),(3,12),(3,19),(4,13),(4,14),(5,3),(5,13),(5,15),(6,2),(6,14),(6,15),(7,16),(8,1),(8,20),(9,17),(9,18),(11,9),(11,20),(12,9),(12,16),(12,20),(13,7),(13,19),(14,8),(14,19),(15,11),(15,12),(15,19),(16,17),(17,10),(18,10),(19,16),(19,20),(20,17),(20,18)],21) => 1
[7,6,5,1,2,3,4] => ([(0,5),(0,6),(1,4),(1,15),(2,3),(2,14),(3,8),(4,9),(5,2),(5,13),(6,1),(6,13),(8,10),(9,11),(10,7),(11,7),(12,10),(12,11),(13,14),(13,15),(14,8),(14,12),(15,9),(15,12)],16) => 1
[7,6,5,4,1,2,3] => ([(0,5),(0,6),(1,4),(1,14),(2,11),(3,10),(4,3),(4,12),(5,1),(5,13),(6,2),(6,13),(8,9),(9,7),(10,7),(11,8),(12,9),(12,10),(13,11),(13,14),(14,8),(14,12)],15) => 1
[7,6,5,4,3,1,2] => ([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12) => 1
[7,6,5,4,3,2,1] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[8,7,6,5,4,3,2,1] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[5,6,7,8,4,3,2,1] => ([(0,6),(0,7),(1,4),(1,16),(2,5),(2,15),(3,13),(4,12),(5,3),(5,19),(6,1),(6,17),(7,2),(7,17),(9,11),(10,8),(11,8),(12,9),(13,10),(14,9),(14,18),(15,14),(15,19),(16,12),(16,14),(17,15),(17,16),(18,10),(18,11),(19,13),(19,18)],20) => 1
[5,6,7,8,3,4,2,1] => ([(0,5),(0,6),(0,7),(1,10),(2,12),(2,17),(3,4),(3,18),(3,20),(4,9),(4,16),(4,27),(5,14),(5,15),(6,2),(6,15),(6,19),(7,3),(7,14),(7,19),(8,23),(8,25),(9,22),(10,23),(12,1),(12,24),(13,8),(13,26),(14,18),(14,21),(15,12),(15,21),(16,8),(16,22),(16,26),(17,13),(17,24),(18,9),(18,27),(19,17),(19,20),(19,21),(20,13),(20,16),(20,27),(21,24),(21,27),(22,25),(23,11),(24,10),(24,26),(25,11),(26,23),(26,25),(27,22),(27,26)],28) => 1
[5,6,7,8,2,3,4,1] => ([(0,5),(0,6),(0,7),(1,20),(2,11),(2,16),(3,4),(3,17),(3,19),(4,9),(4,15),(4,26),(5,12),(5,13),(6,2),(6,13),(6,18),(7,3),(7,12),(7,18),(8,22),(9,20),(9,24),(11,1),(11,26),(12,17),(12,21),(13,11),(13,21),(14,8),(14,27),(15,8),(15,24),(15,27),(16,14),(16,26),(17,9),(17,23),(18,16),(18,19),(18,21),(19,14),(19,15),(19,23),(20,25),(21,23),(21,26),(22,10),(23,24),(23,27),(24,22),(24,25),(25,10),(26,20),(26,27),(27,22),(27,25)],28) => 1
[2,3,4,5,6,7,8,1] => ([(0,2),(0,7),(1,9),(2,8),(3,4),(3,11),(4,6),(4,10),(5,3),(5,13),(6,1),(6,12),(7,5),(7,8),(8,13),(10,12),(11,10),(12,9),(13,11)],14) => 1
[7,8,6,5,4,3,1,2] => ([(0,4),(0,5),(0,6),(1,3),(1,12),(1,13),(2,16),(2,17),(3,2),(3,14),(3,15),(4,1),(4,10),(4,11),(5,7),(5,11),(6,7),(6,10),(7,18),(9,8),(10,12),(10,18),(11,13),(11,18),(12,14),(12,20),(13,15),(13,20),(14,16),(14,21),(15,17),(15,21),(16,9),(16,19),(17,9),(17,19),(18,20),(19,8),(20,21),(21,19)],22) => 1
[5,6,7,8,4,3,1,2] => ([(0,5),(0,6),(0,7),(1,10),(2,12),(2,17),(3,4),(3,18),(3,20),(4,9),(4,16),(5,13),(5,14),(6,2),(6,14),(6,19),(7,3),(7,13),(7,19),(8,24),(8,26),(9,23),(10,24),(12,1),(12,22),(13,18),(13,21),(14,12),(14,21),(15,8),(15,27),(16,8),(16,23),(17,15),(17,22),(18,9),(18,25),(19,17),(19,20),(19,21),(20,15),(20,16),(20,25),(21,22),(21,25),(22,10),(22,27),(23,26),(24,11),(25,23),(25,27),(26,11),(27,24),(27,26)],28) => 1
[5,6,7,8,3,4,1,2] => ([(0,4),(0,5),(0,6),(1,10),(2,3),(2,16),(2,17),(3,8),(3,9),(3,27),(4,2),(4,14),(4,15),(5,12),(5,13),(5,15),(6,12),(6,13),(6,14),(7,1),(7,24),(8,20),(8,21),(9,20),(9,21),(9,26),(10,23),(12,7),(12,18),(13,7),(13,19),(14,17),(14,18),(14,19),(15,16),(15,18),(15,19),(16,9),(16,22),(16,27),(17,8),(17,22),(17,27),(18,22),(18,24),(19,24),(19,27),(20,23),(20,25),(21,25),(22,21),(22,26),(23,11),(24,10),(24,26),(25,11),(26,23),(26,25),(27,20),(27,26)],28) => 1
[6,7,8,5,4,1,2,3] => ([(0,4),(0,5),(0,6),(1,14),(1,15),(2,13),(2,17),(3,12),(3,16),(4,3),(4,18),(4,20),(5,2),(5,19),(5,20),(6,1),(6,18),(6,19),(7,25),(8,26),(10,8),(10,27),(11,8),(11,28),(12,10),(12,22),(13,11),(13,23),(14,10),(14,24),(15,11),(15,24),(16,7),(16,22),(17,7),(17,23),(18,12),(18,14),(18,21),(19,13),(19,15),(19,21),(20,16),(20,17),(20,21),(21,22),(21,23),(21,24),(22,25),(22,27),(23,25),(23,28),(24,27),(24,28),(25,29),(26,9),(27,26),(27,29),(28,26),(28,29),(29,9)],30) => 1
[5,6,7,8,4,1,2,3] => ([(0,5),(0,6),(0,7),(1,22),(2,11),(2,17),(3,4),(3,16),(3,19),(4,9),(4,15),(5,12),(5,13),(6,2),(6,13),(6,18),(7,3),(7,12),(7,18),(8,26),(9,21),(9,22),(11,1),(11,24),(12,16),(12,20),(13,11),(13,20),(14,8),(14,25),(15,8),(15,21),(16,9),(16,23),(17,14),(17,24),(18,17),(18,19),(18,20),(19,14),(19,15),(19,23),(20,23),(20,24),(21,26),(21,27),(22,27),(23,21),(23,25),(24,22),(24,25),(25,26),(25,27),(26,10),(27,10)],28) => 1
[5,6,7,8,3,2,1,4] => ([(0,6),(0,7),(0,8),(1,10),(2,12),(2,27),(3,14),(3,18),(4,5),(4,19),(4,22),(5,2),(5,9),(5,21),(6,15),(6,16),(7,3),(7,16),(7,20),(8,4),(8,15),(8,20),(9,27),(10,28),(11,28),(11,29),(12,28),(12,29),(14,1),(14,26),(15,19),(15,23),(16,14),(16,23),(17,11),(17,24),(18,17),(18,26),(19,9),(19,25),(20,18),(20,22),(20,23),(21,11),(21,12),(21,27),(22,17),(22,21),(22,25),(23,25),(23,26),(24,28),(24,29),(25,24),(25,27),(26,10),(26,24),(27,29),(28,13),(29,13)],30) => 1
[5,6,7,8,2,1,3,4] => ([(0,6),(0,7),(0,8),(1,27),(2,10),(2,27),(3,13),(3,17),(4,5),(4,18),(4,21),(5,2),(5,12),(5,20),(6,15),(6,16),(7,3),(7,16),(7,19),(8,4),(8,15),(8,19),(9,28),(10,28),(10,29),(12,24),(12,27),(13,1),(13,23),(14,9),(14,26),(15,18),(15,22),(16,13),(16,22),(17,14),(17,23),(18,12),(18,25),(19,17),(19,21),(19,22),(20,9),(20,10),(20,24),(21,14),(21,20),(21,25),(22,23),(22,25),(23,26),(23,27),(24,28),(24,29),(25,24),(25,26),(26,28),(26,29),(27,29),(28,11),(29,11)],30) => 1
[8,7,5,6,1,2,3,4] => ([(0,5),(0,6),(0,7),(1,10),(2,12),(2,17),(3,4),(3,18),(3,20),(4,9),(4,16),(4,27),(5,14),(5,15),(6,2),(6,15),(6,19),(7,3),(7,14),(7,19),(8,23),(8,25),(9,22),(10,23),(12,1),(12,24),(13,8),(13,26),(14,18),(14,21),(15,12),(15,21),(16,8),(16,22),(16,26),(17,13),(17,24),(18,9),(18,27),(19,17),(19,20),(19,21),(20,13),(20,16),(20,27),(21,24),(21,27),(22,25),(23,11),(24,10),(24,26),(25,11),(26,23),(26,25),(27,22),(27,26)],28) => 1
[5,6,7,8,1,2,3,4] => ([(0,3),(0,4),(1,6),(1,17),(2,5),(2,16),(3,2),(3,15),(4,1),(4,15),(5,7),(5,12),(6,7),(6,13),(7,18),(9,8),(10,9),(10,19),(11,9),(11,19),(12,10),(12,18),(13,11),(13,18),(14,10),(14,11),(15,16),(15,17),(16,12),(16,14),(17,13),(17,14),(18,19),(19,8)],20) => 1
[8,7,6,1,2,3,4,5] => ([(0,6),(0,7),(1,4),(1,16),(2,5),(2,15),(3,13),(4,12),(5,3),(5,19),(6,1),(6,17),(7,2),(7,17),(9,11),(10,8),(11,8),(12,9),(13,10),(14,9),(14,18),(15,14),(15,19),(16,12),(16,14),(17,15),(17,16),(18,10),(18,11),(19,13),(19,18)],20) => 1
[8,1,2,3,4,5,6,7] => ([(0,2),(0,7),(1,9),(2,8),(3,4),(3,11),(4,6),(4,10),(5,3),(5,13),(6,1),(6,12),(7,5),(7,8),(8,13),(10,12),(11,10),(12,9),(13,11)],14) => 1
[7,6,5,4,3,2,1,8] => ([(0,2),(0,7),(1,9),(2,8),(3,4),(3,11),(4,6),(4,10),(5,3),(5,13),(6,1),(6,12),(7,5),(7,8),(8,13),(10,12),(11,10),(12,9),(13,11)],14) => 1
[1,8,7,6,5,4,3,2] => ([(0,2),(0,7),(1,9),(2,8),(3,4),(3,11),(4,6),(4,10),(5,3),(5,13),(6,1),(6,12),(7,5),(7,8),(8,13),(10,12),(11,10),(12,9),(13,11)],14) => 1
[2,1,8,7,6,5,4,3] => ([(0,6),(0,7),(1,10),(2,5),(2,15),(3,12),(3,17),(4,3),(4,13),(5,4),(5,16),(6,2),(6,14),(7,1),(7,14),(8,17),(10,11),(11,8),(12,9),(13,12),(13,17),(14,10),(14,15),(15,11),(15,16),(16,8),(16,13),(17,9)],18) => 1
[4,3,2,1,8,7,6,5] => ([(0,3),(0,4),(1,6),(1,17),(2,5),(2,16),(3,2),(3,15),(4,1),(4,15),(5,7),(5,12),(6,7),(6,13),(7,18),(9,8),(10,9),(10,19),(11,9),(11,19),(12,10),(12,18),(13,11),(13,18),(14,10),(14,11),(15,16),(15,17),(16,12),(16,14),(17,13),(17,14),(18,19),(19,8)],20) => 1
[2,1,4,3,8,7,6,5] => ([(0,4),(0,5),(0,6),(1,10),(2,3),(2,16),(2,17),(3,8),(3,9),(3,27),(4,2),(4,14),(4,15),(5,12),(5,13),(5,15),(6,12),(6,13),(6,14),(7,1),(7,24),(8,20),(8,21),(9,20),(9,21),(9,26),(10,23),(12,7),(12,18),(13,7),(13,19),(14,17),(14,18),(14,19),(15,16),(15,18),(15,19),(16,9),(16,22),(16,27),(17,8),(17,22),(17,27),(18,22),(18,24),(19,24),(19,27),(20,23),(20,25),(21,25),(22,21),(22,26),(23,11),(24,10),(24,26),(25,11),(26,23),(26,25),(27,20),(27,26)],28) => 1
[6,5,4,3,2,1,8,7] => ([(0,6),(0,7),(1,10),(2,5),(2,15),(3,12),(3,17),(4,3),(4,13),(5,4),(5,16),(6,2),(6,14),(7,1),(7,14),(8,17),(10,11),(11,8),(12,9),(13,12),(13,17),(14,10),(14,15),(15,11),(15,16),(16,8),(16,13),(17,9)],18) => 1
[4,3,2,1,6,5,8,7] => ([(0,4),(0,5),(0,6),(1,10),(2,3),(2,16),(2,17),(3,8),(3,9),(3,27),(4,2),(4,14),(4,15),(5,12),(5,13),(5,15),(6,12),(6,13),(6,14),(7,1),(7,24),(8,20),(8,21),(9,20),(9,21),(9,26),(10,23),(12,7),(12,18),(13,7),(13,19),(14,17),(14,18),(14,19),(15,16),(15,18),(15,19),(16,9),(16,22),(16,27),(17,8),(17,22),(17,27),(18,22),(18,24),(19,24),(19,27),(20,23),(20,25),(21,25),(22,21),(22,26),(23,11),(24,10),(24,26),(25,11),(26,23),(26,25),(27,20),(27,26)],28) => 1
[5,6,7,8,1,2,4,3] => ([(0,6),(0,7),(0,8),(1,27),(2,10),(2,27),(3,13),(3,17),(4,5),(4,18),(4,21),(5,2),(5,12),(5,20),(6,15),(6,16),(7,3),(7,16),(7,19),(8,4),(8,15),(8,19),(9,28),(10,28),(10,29),(12,24),(12,27),(13,1),(13,23),(14,9),(14,26),(15,18),(15,22),(16,13),(16,22),(17,14),(17,23),(18,12),(18,25),(19,17),(19,21),(19,22),(20,9),(20,10),(20,24),(21,14),(21,20),(21,25),(22,23),(22,25),(23,26),(23,27),(24,28),(24,29),(25,24),(25,26),(26,28),(26,29),(27,29),(28,11),(29,11)],30) => 1
[5,6,7,8,1,4,3,2] => ([(0,6),(0,7),(0,8),(1,10),(2,12),(2,27),(3,14),(3,18),(4,5),(4,19),(4,22),(5,2),(5,9),(5,21),(6,15),(6,16),(7,3),(7,16),(7,20),(8,4),(8,15),(8,20),(9,27),(10,28),(11,28),(11,29),(12,28),(12,29),(14,1),(14,26),(15,19),(15,23),(16,14),(16,23),(17,11),(17,24),(18,17),(18,26),(19,9),(19,25),(20,18),(20,22),(20,23),(21,11),(21,12),(21,27),(22,17),(22,21),(22,25),(23,25),(23,26),(24,28),(24,29),(25,24),(25,27),(26,10),(26,24),(27,29),(28,13),(29,13)],30) => 1
search for individual values
searching the database for the individual values of this statistic
/
search for generating function
searching the database for statistics with the same generating function
Generating function
$F_{1} = q$
$F_{2} = 2\ q$
$F_{3} = 6\ q$
$F_{4} = 24\ q$
$F_{5} = 120\ q$
Description
The number of maximal elements of a poset.
Map
pattern poset
Description
The pattern poset of a permutation.
This is the poset of all non-empty permutations that occur in the given permutation as a pattern, ordered by pattern containment.
This is the poset of all non-empty permutations that occur in the given permutation as a pattern, ordered by pattern containment.
searching the database
Sorry, this statistic was not found in the database
or
add this statistic to the database – it's very simple and we need your support!