Identifier
Mp00223:
Permutations
—runsort⟶
Permutations
Mp00235: Permutations —descent views to invisible inversion bottoms⟶ Permutations
Mp00160: Permutations —graph of inversions⟶ Graphs
Mp00235: Permutations —descent views to invisible inversion bottoms⟶ Permutations
Mp00160: Permutations —graph of inversions⟶ Graphs
Images
=>
Cc0020;cc-rep-3
[1]=>[1]=>[1]=>([],1)
[1,2]=>[1,2]=>[1,2]=>([],2)
[2,1]=>[1,2]=>[1,2]=>([],2)
[1,2,3]=>[1,2,3]=>[1,2,3]=>([],3)
[1,3,2]=>[1,3,2]=>[1,3,2]=>([(1,2)],3)
[2,1,3]=>[1,3,2]=>[1,3,2]=>([(1,2)],3)
[2,3,1]=>[1,2,3]=>[1,2,3]=>([],3)
[3,1,2]=>[1,2,3]=>[1,2,3]=>([],3)
[3,2,1]=>[1,2,3]=>[1,2,3]=>([],3)
[1,2,3,4]=>[1,2,3,4]=>[1,2,3,4]=>([],4)
[1,2,4,3]=>[1,2,4,3]=>[1,2,4,3]=>([(2,3)],4)
[1,3,2,4]=>[1,3,2,4]=>[1,3,2,4]=>([(2,3)],4)
[1,3,4,2]=>[1,3,4,2]=>[1,4,3,2]=>([(1,2),(1,3),(2,3)],4)
[1,4,2,3]=>[1,4,2,3]=>[1,4,2,3]=>([(1,3),(2,3)],4)
[1,4,3,2]=>[1,4,2,3]=>[1,4,2,3]=>([(1,3),(2,3)],4)
[2,1,3,4]=>[1,3,4,2]=>[1,4,3,2]=>([(1,2),(1,3),(2,3)],4)
[2,1,4,3]=>[1,4,2,3]=>[1,4,2,3]=>([(1,3),(2,3)],4)
[2,3,1,4]=>[1,4,2,3]=>[1,4,2,3]=>([(1,3),(2,3)],4)
[2,3,4,1]=>[1,2,3,4]=>[1,2,3,4]=>([],4)
[2,4,1,3]=>[1,3,2,4]=>[1,3,2,4]=>([(2,3)],4)
[2,4,3,1]=>[1,2,4,3]=>[1,2,4,3]=>([(2,3)],4)
[3,1,2,4]=>[1,2,4,3]=>[1,2,4,3]=>([(2,3)],4)
[3,1,4,2]=>[1,4,2,3]=>[1,4,2,3]=>([(1,3),(2,3)],4)
[3,2,1,4]=>[1,4,2,3]=>[1,4,2,3]=>([(1,3),(2,3)],4)
[3,2,4,1]=>[1,2,4,3]=>[1,2,4,3]=>([(2,3)],4)
[3,4,1,2]=>[1,2,3,4]=>[1,2,3,4]=>([],4)
[3,4,2,1]=>[1,2,3,4]=>[1,2,3,4]=>([],4)
[4,1,2,3]=>[1,2,3,4]=>[1,2,3,4]=>([],4)
[4,1,3,2]=>[1,3,2,4]=>[1,3,2,4]=>([(2,3)],4)
[4,2,1,3]=>[1,3,2,4]=>[1,3,2,4]=>([(2,3)],4)
[4,2,3,1]=>[1,2,3,4]=>[1,2,3,4]=>([],4)
[4,3,1,2]=>[1,2,3,4]=>[1,2,3,4]=>([],4)
[4,3,2,1]=>[1,2,3,4]=>[1,2,3,4]=>([],4)
[1,2,3,4,5]=>[1,2,3,4,5]=>[1,2,3,4,5]=>([],5)
[1,2,3,5,4]=>[1,2,3,5,4]=>[1,2,3,5,4]=>([(3,4)],5)
[1,2,4,3,5]=>[1,2,4,3,5]=>[1,2,4,3,5]=>([(3,4)],5)
[1,2,4,5,3]=>[1,2,4,5,3]=>[1,2,5,4,3]=>([(2,3),(2,4),(3,4)],5)
[1,2,5,3,4]=>[1,2,5,3,4]=>[1,2,5,3,4]=>([(2,4),(3,4)],5)
[1,2,5,4,3]=>[1,2,5,3,4]=>[1,2,5,3,4]=>([(2,4),(3,4)],5)
[1,3,2,4,5]=>[1,3,2,4,5]=>[1,3,2,4,5]=>([(3,4)],5)
[1,3,2,5,4]=>[1,3,2,5,4]=>[1,3,2,5,4]=>([(1,4),(2,3)],5)
[1,3,4,2,5]=>[1,3,4,2,5]=>[1,4,3,2,5]=>([(2,3),(2,4),(3,4)],5)
[1,3,4,5,2]=>[1,3,4,5,2]=>[1,5,3,4,2]=>([(1,3),(1,4),(2,3),(2,4),(3,4)],5)
[1,3,5,2,4]=>[1,3,5,2,4]=>[1,5,3,2,4]=>([(1,4),(2,3),(2,4),(3,4)],5)
[1,3,5,4,2]=>[1,3,5,2,4]=>[1,5,3,2,4]=>([(1,4),(2,3),(2,4),(3,4)],5)
[1,4,2,3,5]=>[1,4,2,3,5]=>[1,4,2,3,5]=>([(2,4),(3,4)],5)
[1,4,2,5,3]=>[1,4,2,5,3]=>[1,4,5,2,3]=>([(1,3),(1,4),(2,3),(2,4)],5)
[1,4,3,2,5]=>[1,4,2,5,3]=>[1,4,5,2,3]=>([(1,3),(1,4),(2,3),(2,4)],5)
[1,4,3,5,2]=>[1,4,2,3,5]=>[1,4,2,3,5]=>([(2,4),(3,4)],5)
[1,4,5,2,3]=>[1,4,5,2,3]=>[1,5,2,4,3]=>([(1,4),(2,3),(2,4),(3,4)],5)
[1,4,5,3,2]=>[1,4,5,2,3]=>[1,5,2,4,3]=>([(1,4),(2,3),(2,4),(3,4)],5)
[1,5,2,3,4]=>[1,5,2,3,4]=>[1,5,2,3,4]=>([(1,4),(2,4),(3,4)],5)
[1,5,2,4,3]=>[1,5,2,4,3]=>[1,5,4,2,3]=>([(1,3),(1,4),(2,3),(2,4),(3,4)],5)
[1,5,3,2,4]=>[1,5,2,4,3]=>[1,5,4,2,3]=>([(1,3),(1,4),(2,3),(2,4),(3,4)],5)
[1,5,3,4,2]=>[1,5,2,3,4]=>[1,5,2,3,4]=>([(1,4),(2,4),(3,4)],5)
[1,5,4,2,3]=>[1,5,2,3,4]=>[1,5,2,3,4]=>([(1,4),(2,4),(3,4)],5)
[1,5,4,3,2]=>[1,5,2,3,4]=>[1,5,2,3,4]=>([(1,4),(2,4),(3,4)],5)
[2,1,3,4,5]=>[1,3,4,5,2]=>[1,5,3,4,2]=>([(1,3),(1,4),(2,3),(2,4),(3,4)],5)
[2,1,3,5,4]=>[1,3,5,2,4]=>[1,5,3,2,4]=>([(1,4),(2,3),(2,4),(3,4)],5)
[2,1,4,3,5]=>[1,4,2,3,5]=>[1,4,2,3,5]=>([(2,4),(3,4)],5)
[2,1,4,5,3]=>[1,4,5,2,3]=>[1,5,2,4,3]=>([(1,4),(2,3),(2,4),(3,4)],5)
[2,1,5,3,4]=>[1,5,2,3,4]=>[1,5,2,3,4]=>([(1,4),(2,4),(3,4)],5)
[2,1,5,4,3]=>[1,5,2,3,4]=>[1,5,2,3,4]=>([(1,4),(2,4),(3,4)],5)
[2,3,1,4,5]=>[1,4,5,2,3]=>[1,5,2,4,3]=>([(1,4),(2,3),(2,4),(3,4)],5)
[2,3,1,5,4]=>[1,5,2,3,4]=>[1,5,2,3,4]=>([(1,4),(2,4),(3,4)],5)
[2,3,4,1,5]=>[1,5,2,3,4]=>[1,5,2,3,4]=>([(1,4),(2,4),(3,4)],5)
[2,3,4,5,1]=>[1,2,3,4,5]=>[1,2,3,4,5]=>([],5)
[2,3,5,1,4]=>[1,4,2,3,5]=>[1,4,2,3,5]=>([(2,4),(3,4)],5)
[2,3,5,4,1]=>[1,2,3,5,4]=>[1,2,3,5,4]=>([(3,4)],5)
[2,4,1,3,5]=>[1,3,5,2,4]=>[1,5,3,2,4]=>([(1,4),(2,3),(2,4),(3,4)],5)
[2,4,1,5,3]=>[1,5,2,4,3]=>[1,5,4,2,3]=>([(1,3),(1,4),(2,3),(2,4),(3,4)],5)
[2,4,3,1,5]=>[1,5,2,4,3]=>[1,5,4,2,3]=>([(1,3),(1,4),(2,3),(2,4),(3,4)],5)
[2,4,3,5,1]=>[1,2,4,3,5]=>[1,2,4,3,5]=>([(3,4)],5)
[2,4,5,1,3]=>[1,3,2,4,5]=>[1,3,2,4,5]=>([(3,4)],5)
[2,4,5,3,1]=>[1,2,4,5,3]=>[1,2,5,4,3]=>([(2,3),(2,4),(3,4)],5)
[2,5,1,3,4]=>[1,3,4,2,5]=>[1,4,3,2,5]=>([(2,3),(2,4),(3,4)],5)
[2,5,1,4,3]=>[1,4,2,5,3]=>[1,4,5,2,3]=>([(1,3),(1,4),(2,3),(2,4)],5)
[2,5,3,1,4]=>[1,4,2,5,3]=>[1,4,5,2,3]=>([(1,3),(1,4),(2,3),(2,4)],5)
[2,5,3,4,1]=>[1,2,5,3,4]=>[1,2,5,3,4]=>([(2,4),(3,4)],5)
[2,5,4,1,3]=>[1,3,2,5,4]=>[1,3,2,5,4]=>([(1,4),(2,3)],5)
[2,5,4,3,1]=>[1,2,5,3,4]=>[1,2,5,3,4]=>([(2,4),(3,4)],5)
[3,1,2,4,5]=>[1,2,4,5,3]=>[1,2,5,4,3]=>([(2,3),(2,4),(3,4)],5)
[3,1,2,5,4]=>[1,2,5,3,4]=>[1,2,5,3,4]=>([(2,4),(3,4)],5)
[3,1,4,2,5]=>[1,4,2,5,3]=>[1,4,5,2,3]=>([(1,3),(1,4),(2,3),(2,4)],5)
[3,1,4,5,2]=>[1,4,5,2,3]=>[1,5,2,4,3]=>([(1,4),(2,3),(2,4),(3,4)],5)
[3,1,5,2,4]=>[1,5,2,4,3]=>[1,5,4,2,3]=>([(1,3),(1,4),(2,3),(2,4),(3,4)],5)
[3,1,5,4,2]=>[1,5,2,3,4]=>[1,5,2,3,4]=>([(1,4),(2,4),(3,4)],5)
[3,2,1,4,5]=>[1,4,5,2,3]=>[1,5,2,4,3]=>([(1,4),(2,3),(2,4),(3,4)],5)
[3,2,1,5,4]=>[1,5,2,3,4]=>[1,5,2,3,4]=>([(1,4),(2,4),(3,4)],5)
[3,2,4,1,5]=>[1,5,2,4,3]=>[1,5,4,2,3]=>([(1,3),(1,4),(2,3),(2,4),(3,4)],5)
[3,2,4,5,1]=>[1,2,4,5,3]=>[1,2,5,4,3]=>([(2,3),(2,4),(3,4)],5)
[3,2,5,1,4]=>[1,4,2,5,3]=>[1,4,5,2,3]=>([(1,3),(1,4),(2,3),(2,4)],5)
[3,2,5,4,1]=>[1,2,5,3,4]=>[1,2,5,3,4]=>([(2,4),(3,4)],5)
[3,4,1,2,5]=>[1,2,5,3,4]=>[1,2,5,3,4]=>([(2,4),(3,4)],5)
[3,4,1,5,2]=>[1,5,2,3,4]=>[1,5,2,3,4]=>([(1,4),(2,4),(3,4)],5)
[3,4,2,1,5]=>[1,5,2,3,4]=>[1,5,2,3,4]=>([(1,4),(2,4),(3,4)],5)
[3,4,2,5,1]=>[1,2,5,3,4]=>[1,2,5,3,4]=>([(2,4),(3,4)],5)
[3,4,5,1,2]=>[1,2,3,4,5]=>[1,2,3,4,5]=>([],5)
[3,4,5,2,1]=>[1,2,3,4,5]=>[1,2,3,4,5]=>([],5)
[3,5,1,2,4]=>[1,2,4,3,5]=>[1,2,4,3,5]=>([(3,4)],5)
[3,5,1,4,2]=>[1,4,2,3,5]=>[1,4,2,3,5]=>([(2,4),(3,4)],5)
[3,5,2,1,4]=>[1,4,2,3,5]=>[1,4,2,3,5]=>([(2,4),(3,4)],5)
[3,5,2,4,1]=>[1,2,4,3,5]=>[1,2,4,3,5]=>([(3,4)],5)
[3,5,4,1,2]=>[1,2,3,5,4]=>[1,2,3,5,4]=>([(3,4)],5)
[3,5,4,2,1]=>[1,2,3,5,4]=>[1,2,3,5,4]=>([(3,4)],5)
[4,1,2,3,5]=>[1,2,3,5,4]=>[1,2,3,5,4]=>([(3,4)],5)
[4,1,2,5,3]=>[1,2,5,3,4]=>[1,2,5,3,4]=>([(2,4),(3,4)],5)
[4,1,3,2,5]=>[1,3,2,5,4]=>[1,3,2,5,4]=>([(1,4),(2,3)],5)
[4,1,3,5,2]=>[1,3,5,2,4]=>[1,5,3,2,4]=>([(1,4),(2,3),(2,4),(3,4)],5)
[4,1,5,2,3]=>[1,5,2,3,4]=>[1,5,2,3,4]=>([(1,4),(2,4),(3,4)],5)
[4,1,5,3,2]=>[1,5,2,3,4]=>[1,5,2,3,4]=>([(1,4),(2,4),(3,4)],5)
[4,2,1,3,5]=>[1,3,5,2,4]=>[1,5,3,2,4]=>([(1,4),(2,3),(2,4),(3,4)],5)
[4,2,1,5,3]=>[1,5,2,3,4]=>[1,5,2,3,4]=>([(1,4),(2,4),(3,4)],5)
[4,2,3,1,5]=>[1,5,2,3,4]=>[1,5,2,3,4]=>([(1,4),(2,4),(3,4)],5)
[4,2,3,5,1]=>[1,2,3,5,4]=>[1,2,3,5,4]=>([(3,4)],5)
[4,2,5,1,3]=>[1,3,2,5,4]=>[1,3,2,5,4]=>([(1,4),(2,3)],5)
[4,2,5,3,1]=>[1,2,5,3,4]=>[1,2,5,3,4]=>([(2,4),(3,4)],5)
[4,3,1,2,5]=>[1,2,5,3,4]=>[1,2,5,3,4]=>([(2,4),(3,4)],5)
[4,3,1,5,2]=>[1,5,2,3,4]=>[1,5,2,3,4]=>([(1,4),(2,4),(3,4)],5)
[4,3,2,1,5]=>[1,5,2,3,4]=>[1,5,2,3,4]=>([(1,4),(2,4),(3,4)],5)
[4,3,2,5,1]=>[1,2,5,3,4]=>[1,2,5,3,4]=>([(2,4),(3,4)],5)
[4,3,5,1,2]=>[1,2,3,5,4]=>[1,2,3,5,4]=>([(3,4)],5)
[4,3,5,2,1]=>[1,2,3,5,4]=>[1,2,3,5,4]=>([(3,4)],5)
[4,5,1,2,3]=>[1,2,3,4,5]=>[1,2,3,4,5]=>([],5)
[4,5,1,3,2]=>[1,3,2,4,5]=>[1,3,2,4,5]=>([(3,4)],5)
[4,5,2,1,3]=>[1,3,2,4,5]=>[1,3,2,4,5]=>([(3,4)],5)
[4,5,2,3,1]=>[1,2,3,4,5]=>[1,2,3,4,5]=>([],5)
[4,5,3,1,2]=>[1,2,3,4,5]=>[1,2,3,4,5]=>([],5)
[4,5,3,2,1]=>[1,2,3,4,5]=>[1,2,3,4,5]=>([],5)
[5,1,2,3,4]=>[1,2,3,4,5]=>[1,2,3,4,5]=>([],5)
[5,1,2,4,3]=>[1,2,4,3,5]=>[1,2,4,3,5]=>([(3,4)],5)
[5,1,3,2,4]=>[1,3,2,4,5]=>[1,3,2,4,5]=>([(3,4)],5)
[5,1,3,4,2]=>[1,3,4,2,5]=>[1,4,3,2,5]=>([(2,3),(2,4),(3,4)],5)
[5,1,4,2,3]=>[1,4,2,3,5]=>[1,4,2,3,5]=>([(2,4),(3,4)],5)
[5,1,4,3,2]=>[1,4,2,3,5]=>[1,4,2,3,5]=>([(2,4),(3,4)],5)
[5,2,1,3,4]=>[1,3,4,2,5]=>[1,4,3,2,5]=>([(2,3),(2,4),(3,4)],5)
[5,2,1,4,3]=>[1,4,2,3,5]=>[1,4,2,3,5]=>([(2,4),(3,4)],5)
[5,2,3,1,4]=>[1,4,2,3,5]=>[1,4,2,3,5]=>([(2,4),(3,4)],5)
[5,2,3,4,1]=>[1,2,3,4,5]=>[1,2,3,4,5]=>([],5)
[5,2,4,1,3]=>[1,3,2,4,5]=>[1,3,2,4,5]=>([(3,4)],5)
[5,2,4,3,1]=>[1,2,4,3,5]=>[1,2,4,3,5]=>([(3,4)],5)
[5,3,1,2,4]=>[1,2,4,3,5]=>[1,2,4,3,5]=>([(3,4)],5)
[5,3,1,4,2]=>[1,4,2,3,5]=>[1,4,2,3,5]=>([(2,4),(3,4)],5)
[5,3,2,1,4]=>[1,4,2,3,5]=>[1,4,2,3,5]=>([(2,4),(3,4)],5)
[5,3,2,4,1]=>[1,2,4,3,5]=>[1,2,4,3,5]=>([(3,4)],5)
[5,3,4,1,2]=>[1,2,3,4,5]=>[1,2,3,4,5]=>([],5)
[5,3,4,2,1]=>[1,2,3,4,5]=>[1,2,3,4,5]=>([],5)
[5,4,1,2,3]=>[1,2,3,4,5]=>[1,2,3,4,5]=>([],5)
[5,4,1,3,2]=>[1,3,2,4,5]=>[1,3,2,4,5]=>([(3,4)],5)
[5,4,2,1,3]=>[1,3,2,4,5]=>[1,3,2,4,5]=>([(3,4)],5)
[5,4,2,3,1]=>[1,2,3,4,5]=>[1,2,3,4,5]=>([],5)
[5,4,3,1,2]=>[1,2,3,4,5]=>[1,2,3,4,5]=>([],5)
[5,4,3,2,1]=>[1,2,3,4,5]=>[1,2,3,4,5]=>([],5)
[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>([],6)
[1,2,3,4,6,5]=>[1,2,3,4,6,5]=>[1,2,3,4,6,5]=>([(4,5)],6)
[1,2,3,5,4,6]=>[1,2,3,5,4,6]=>[1,2,3,5,4,6]=>([(4,5)],6)
[1,2,3,5,6,4]=>[1,2,3,5,6,4]=>[1,2,3,6,5,4]=>([(3,4),(3,5),(4,5)],6)
[1,2,3,6,4,5]=>[1,2,3,6,4,5]=>[1,2,3,6,4,5]=>([(3,5),(4,5)],6)
[1,2,3,6,5,4]=>[1,2,3,6,4,5]=>[1,2,3,6,4,5]=>([(3,5),(4,5)],6)
[1,2,4,3,5,6]=>[1,2,4,3,5,6]=>[1,2,4,3,5,6]=>([(4,5)],6)
[1,2,4,3,6,5]=>[1,2,4,3,6,5]=>[1,2,4,3,6,5]=>([(2,5),(3,4)],6)
[1,2,4,5,3,6]=>[1,2,4,5,3,6]=>[1,2,5,4,3,6]=>([(3,4),(3,5),(4,5)],6)
[1,2,4,5,6,3]=>[1,2,4,5,6,3]=>[1,2,6,4,5,3]=>([(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[1,2,4,6,3,5]=>[1,2,4,6,3,5]=>[1,2,6,4,3,5]=>([(2,5),(3,4),(3,5),(4,5)],6)
[1,2,4,6,5,3]=>[1,2,4,6,3,5]=>[1,2,6,4,3,5]=>([(2,5),(3,4),(3,5),(4,5)],6)
[1,2,5,3,4,6]=>[1,2,5,3,4,6]=>[1,2,5,3,4,6]=>([(3,5),(4,5)],6)
[1,2,5,3,6,4]=>[1,2,5,3,6,4]=>[1,2,5,6,3,4]=>([(2,4),(2,5),(3,4),(3,5)],6)
[1,2,5,4,3,6]=>[1,2,5,3,6,4]=>[1,2,5,6,3,4]=>([(2,4),(2,5),(3,4),(3,5)],6)
[1,2,5,4,6,3]=>[1,2,5,3,4,6]=>[1,2,5,3,4,6]=>([(3,5),(4,5)],6)
[1,2,5,6,3,4]=>[1,2,5,6,3,4]=>[1,2,6,3,5,4]=>([(2,5),(3,4),(3,5),(4,5)],6)
[1,2,5,6,4,3]=>[1,2,5,6,3,4]=>[1,2,6,3,5,4]=>([(2,5),(3,4),(3,5),(4,5)],6)
[1,2,6,3,4,5]=>[1,2,6,3,4,5]=>[1,2,6,3,4,5]=>([(2,5),(3,5),(4,5)],6)
[1,2,6,3,5,4]=>[1,2,6,3,5,4]=>[1,2,6,5,3,4]=>([(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[1,2,6,4,3,5]=>[1,2,6,3,5,4]=>[1,2,6,5,3,4]=>([(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[1,2,6,4,5,3]=>[1,2,6,3,4,5]=>[1,2,6,3,4,5]=>([(2,5),(3,5),(4,5)],6)
[1,2,6,5,3,4]=>[1,2,6,3,4,5]=>[1,2,6,3,4,5]=>([(2,5),(3,5),(4,5)],6)
[1,2,6,5,4,3]=>[1,2,6,3,4,5]=>[1,2,6,3,4,5]=>([(2,5),(3,5),(4,5)],6)
[1,3,2,4,5,6]=>[1,3,2,4,5,6]=>[1,3,2,4,5,6]=>([(4,5)],6)
[1,3,2,4,6,5]=>[1,3,2,4,6,5]=>[1,3,2,4,6,5]=>([(2,5),(3,4)],6)
[1,3,2,5,4,6]=>[1,3,2,5,4,6]=>[1,3,2,5,4,6]=>([(2,5),(3,4)],6)
[1,3,2,5,6,4]=>[1,3,2,5,6,4]=>[1,3,2,6,5,4]=>([(1,2),(3,4),(3,5),(4,5)],6)
[1,3,2,6,4,5]=>[1,3,2,6,4,5]=>[1,3,2,6,4,5]=>([(1,2),(3,5),(4,5)],6)
[1,3,2,6,5,4]=>[1,3,2,6,4,5]=>[1,3,2,6,4,5]=>([(1,2),(3,5),(4,5)],6)
[1,3,4,2,5,6]=>[1,3,4,2,5,6]=>[1,4,3,2,5,6]=>([(3,4),(3,5),(4,5)],6)
[1,3,4,2,6,5]=>[1,3,4,2,6,5]=>[1,4,3,2,6,5]=>([(1,2),(3,4),(3,5),(4,5)],6)
[1,3,4,5,2,6]=>[1,3,4,5,2,6]=>[1,5,3,4,2,6]=>([(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[1,3,4,5,6,2]=>[1,3,4,5,6,2]=>[1,6,3,4,5,2]=>([(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[1,3,4,6,2,5]=>[1,3,4,6,2,5]=>[1,6,3,4,2,5]=>([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[1,3,4,6,5,2]=>[1,3,4,6,2,5]=>[1,6,3,4,2,5]=>([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[1,3,5,2,4,6]=>[1,3,5,2,4,6]=>[1,5,3,2,4,6]=>([(2,5),(3,4),(3,5),(4,5)],6)
[1,3,5,2,6,4]=>[1,3,5,2,6,4]=>[1,5,3,6,2,4]=>([(1,2),(1,5),(2,4),(3,4),(3,5),(4,5)],6)
[1,3,5,4,2,6]=>[1,3,5,2,6,4]=>[1,5,3,6,2,4]=>([(1,2),(1,5),(2,4),(3,4),(3,5),(4,5)],6)
[1,3,5,4,6,2]=>[1,3,5,2,4,6]=>[1,5,3,2,4,6]=>([(2,5),(3,4),(3,5),(4,5)],6)
[1,3,5,6,2,4]=>[1,3,5,6,2,4]=>[1,6,3,2,5,4]=>([(1,4),(1,5),(2,3),(2,5),(3,5),(4,5)],6)
[1,3,5,6,4,2]=>[1,3,5,6,2,4]=>[1,6,3,2,5,4]=>([(1,4),(1,5),(2,3),(2,5),(3,5),(4,5)],6)
[1,3,6,2,4,5]=>[1,3,6,2,4,5]=>[1,6,3,2,4,5]=>([(1,5),(2,5),(3,4),(3,5),(4,5)],6)
[1,3,6,2,5,4]=>[1,3,6,2,5,4]=>[1,6,3,5,2,4]=>([(1,4),(1,5),(2,3),(2,5),(3,4),(3,5),(4,5)],6)
[1,3,6,4,2,5]=>[1,3,6,2,5,4]=>[1,6,3,5,2,4]=>([(1,4),(1,5),(2,3),(2,5),(3,4),(3,5),(4,5)],6)
[1,3,6,4,5,2]=>[1,3,6,2,4,5]=>[1,6,3,2,4,5]=>([(1,5),(2,5),(3,4),(3,5),(4,5)],6)
[1,3,6,5,2,4]=>[1,3,6,2,4,5]=>[1,6,3,2,4,5]=>([(1,5),(2,5),(3,4),(3,5),(4,5)],6)
[1,3,6,5,4,2]=>[1,3,6,2,4,5]=>[1,6,3,2,4,5]=>([(1,5),(2,5),(3,4),(3,5),(4,5)],6)
[1,4,2,3,5,6]=>[1,4,2,3,5,6]=>[1,4,2,3,5,6]=>([(3,5),(4,5)],6)
[1,4,2,3,6,5]=>[1,4,2,3,6,5]=>[1,4,2,3,6,5]=>([(1,2),(3,5),(4,5)],6)
[1,4,2,5,3,6]=>[1,4,2,5,3,6]=>[1,4,5,2,3,6]=>([(2,4),(2,5),(3,4),(3,5)],6)
[1,4,2,5,6,3]=>[1,4,2,5,6,3]=>[1,4,6,2,5,3]=>([(1,2),(1,5),(2,4),(3,4),(3,5),(4,5)],6)
[1,4,2,6,3,5]=>[1,4,2,6,3,5]=>[1,4,6,2,3,5]=>([(1,5),(2,3),(2,4),(3,5),(4,5)],6)
[1,4,2,6,5,3]=>[1,4,2,6,3,5]=>[1,4,6,2,3,5]=>([(1,5),(2,3),(2,4),(3,5),(4,5)],6)
[1,4,3,2,5,6]=>[1,4,2,5,6,3]=>[1,4,6,2,5,3]=>([(1,2),(1,5),(2,4),(3,4),(3,5),(4,5)],6)
[1,4,3,2,6,5]=>[1,4,2,6,3,5]=>[1,4,6,2,3,5]=>([(1,5),(2,3),(2,4),(3,5),(4,5)],6)
[1,4,3,5,2,6]=>[1,4,2,6,3,5]=>[1,4,6,2,3,5]=>([(1,5),(2,3),(2,4),(3,5),(4,5)],6)
[1,4,3,5,6,2]=>[1,4,2,3,5,6]=>[1,4,2,3,5,6]=>([(3,5),(4,5)],6)
[1,4,3,6,2,5]=>[1,4,2,5,3,6]=>[1,4,5,2,3,6]=>([(2,4),(2,5),(3,4),(3,5)],6)
[1,4,3,6,5,2]=>[1,4,2,3,6,5]=>[1,4,2,3,6,5]=>([(1,2),(3,5),(4,5)],6)
[1,4,5,2,3,6]=>[1,4,5,2,3,6]=>[1,5,2,4,3,6]=>([(2,5),(3,4),(3,5),(4,5)],6)
[1,4,5,2,6,3]=>[1,4,5,2,6,3]=>[1,5,6,4,2,3]=>([(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6)
[1,4,5,3,2,6]=>[1,4,5,2,6,3]=>[1,5,6,4,2,3]=>([(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6)
[1,4,5,3,6,2]=>[1,4,5,2,3,6]=>[1,5,2,4,3,6]=>([(2,5),(3,4),(3,5),(4,5)],6)
[1,4,5,6,2,3]=>[1,4,5,6,2,3]=>[1,6,2,4,5,3]=>([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[1,4,5,6,3,2]=>[1,4,5,6,2,3]=>[1,6,2,4,5,3]=>([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[1,4,6,2,3,5]=>[1,4,6,2,3,5]=>[1,6,2,4,3,5]=>([(1,5),(2,5),(3,4),(3,5),(4,5)],6)
[1,4,6,2,5,3]=>[1,4,6,2,5,3]=>[1,6,5,4,2,3]=>([(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[1,4,6,3,2,5]=>[1,4,6,2,5,3]=>[1,6,5,4,2,3]=>([(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[1,4,6,3,5,2]=>[1,4,6,2,3,5]=>[1,6,2,4,3,5]=>([(1,5),(2,5),(3,4),(3,5),(4,5)],6)
[1,4,6,5,2,3]=>[1,4,6,2,3,5]=>[1,6,2,4,3,5]=>([(1,5),(2,5),(3,4),(3,5),(4,5)],6)
[1,4,6,5,3,2]=>[1,4,6,2,3,5]=>[1,6,2,4,3,5]=>([(1,5),(2,5),(3,4),(3,5),(4,5)],6)
[1,5,2,3,4,6]=>[1,5,2,3,4,6]=>[1,5,2,3,4,6]=>([(2,5),(3,5),(4,5)],6)
[1,5,2,3,6,4]=>[1,5,2,3,6,4]=>[1,5,2,6,3,4]=>([(1,5),(2,3),(2,4),(3,5),(4,5)],6)
[1,5,2,4,3,6]=>[1,5,2,4,3,6]=>[1,5,4,2,3,6]=>([(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[1,5,2,4,6,3]=>[1,5,2,4,6,3]=>[1,5,6,2,4,3]=>([(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6)
[1,5,2,6,3,4]=>[1,5,2,6,3,4]=>[1,5,6,3,2,4]=>([(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6)
[1,5,2,6,4,3]=>[1,5,2,6,3,4]=>[1,5,6,3,2,4]=>([(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6)
[1,5,3,2,4,6]=>[1,5,2,4,6,3]=>[1,5,6,2,4,3]=>([(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6)
[1,5,3,2,6,4]=>[1,5,2,6,3,4]=>[1,5,6,3,2,4]=>([(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6)
[1,5,3,4,2,6]=>[1,5,2,6,3,4]=>[1,5,6,3,2,4]=>([(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6)
[1,5,3,4,6,2]=>[1,5,2,3,4,6]=>[1,5,2,3,4,6]=>([(2,5),(3,5),(4,5)],6)
[1,5,3,6,2,4]=>[1,5,2,4,3,6]=>[1,5,4,2,3,6]=>([(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[1,5,3,6,4,2]=>[1,5,2,3,6,4]=>[1,5,2,6,3,4]=>([(1,5),(2,3),(2,4),(3,5),(4,5)],6)
[1,5,4,2,3,6]=>[1,5,2,3,6,4]=>[1,5,2,6,3,4]=>([(1,5),(2,3),(2,4),(3,5),(4,5)],6)
[1,5,4,2,6,3]=>[1,5,2,6,3,4]=>[1,5,6,3,2,4]=>([(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6)
[1,5,4,3,2,6]=>[1,5,2,6,3,4]=>[1,5,6,3,2,4]=>([(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6)
[1,5,4,3,6,2]=>[1,5,2,3,6,4]=>[1,5,2,6,3,4]=>([(1,5),(2,3),(2,4),(3,5),(4,5)],6)
[1,5,4,6,2,3]=>[1,5,2,3,4,6]=>[1,5,2,3,4,6]=>([(2,5),(3,5),(4,5)],6)
[1,5,4,6,3,2]=>[1,5,2,3,4,6]=>[1,5,2,3,4,6]=>([(2,5),(3,5),(4,5)],6)
[1,5,6,2,3,4]=>[1,5,6,2,3,4]=>[1,6,2,3,5,4]=>([(1,5),(2,5),(3,4),(3,5),(4,5)],6)
[1,5,6,2,4,3]=>[1,5,6,2,4,3]=>[1,6,4,2,5,3]=>([(1,4),(1,5),(2,3),(2,5),(3,4),(3,5),(4,5)],6)
[1,5,6,3,2,4]=>[1,5,6,2,4,3]=>[1,6,4,2,5,3]=>([(1,4),(1,5),(2,3),(2,5),(3,4),(3,5),(4,5)],6)
[1,5,6,3,4,2]=>[1,5,6,2,3,4]=>[1,6,2,3,5,4]=>([(1,5),(2,5),(3,4),(3,5),(4,5)],6)
[1,5,6,4,2,3]=>[1,5,6,2,3,4]=>[1,6,2,3,5,4]=>([(1,5),(2,5),(3,4),(3,5),(4,5)],6)
[1,5,6,4,3,2]=>[1,5,6,2,3,4]=>[1,6,2,3,5,4]=>([(1,5),(2,5),(3,4),(3,5),(4,5)],6)
[1,6,2,3,4,5]=>[1,6,2,3,4,5]=>[1,6,2,3,4,5]=>([(1,5),(2,5),(3,5),(4,5)],6)
[1,6,2,3,5,4]=>[1,6,2,3,5,4]=>[1,6,2,5,3,4]=>([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[1,6,2,4,3,5]=>[1,6,2,4,3,5]=>[1,6,4,2,3,5]=>([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[1,6,2,4,5,3]=>[1,6,2,4,5,3]=>[1,6,5,2,4,3]=>([(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[1,6,2,5,3,4]=>[1,6,2,5,3,4]=>[1,6,5,3,2,4]=>([(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[1,6,2,5,4,3]=>[1,6,2,5,3,4]=>[1,6,5,3,2,4]=>([(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[1,6,3,2,4,5]=>[1,6,2,4,5,3]=>[1,6,5,2,4,3]=>([(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[1,6,3,2,5,4]=>[1,6,2,5,3,4]=>[1,6,5,3,2,4]=>([(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[1,6,3,4,2,5]=>[1,6,2,5,3,4]=>[1,6,5,3,2,4]=>([(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[1,6,3,4,5,2]=>[1,6,2,3,4,5]=>[1,6,2,3,4,5]=>([(1,5),(2,5),(3,5),(4,5)],6)
[1,6,3,5,2,4]=>[1,6,2,4,3,5]=>[1,6,4,2,3,5]=>([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[1,6,3,5,4,2]=>[1,6,2,3,5,4]=>[1,6,2,5,3,4]=>([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[1,6,4,2,3,5]=>[1,6,2,3,5,4]=>[1,6,2,5,3,4]=>([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[1,6,4,2,5,3]=>[1,6,2,5,3,4]=>[1,6,5,3,2,4]=>([(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[1,6,4,3,2,5]=>[1,6,2,5,3,4]=>[1,6,5,3,2,4]=>([(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[1,6,4,3,5,2]=>[1,6,2,3,5,4]=>[1,6,2,5,3,4]=>([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[1,6,4,5,2,3]=>[1,6,2,3,4,5]=>[1,6,2,3,4,5]=>([(1,5),(2,5),(3,5),(4,5)],6)
[1,6,4,5,3,2]=>[1,6,2,3,4,5]=>[1,6,2,3,4,5]=>([(1,5),(2,5),(3,5),(4,5)],6)
[1,6,5,2,3,4]=>[1,6,2,3,4,5]=>[1,6,2,3,4,5]=>([(1,5),(2,5),(3,5),(4,5)],6)
[1,6,5,2,4,3]=>[1,6,2,4,3,5]=>[1,6,4,2,3,5]=>([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[1,6,5,3,2,4]=>[1,6,2,4,3,5]=>[1,6,4,2,3,5]=>([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[1,6,5,3,4,2]=>[1,6,2,3,4,5]=>[1,6,2,3,4,5]=>([(1,5),(2,5),(3,5),(4,5)],6)
[1,6,5,4,2,3]=>[1,6,2,3,4,5]=>[1,6,2,3,4,5]=>([(1,5),(2,5),(3,5),(4,5)],6)
[1,6,5,4,3,2]=>[1,6,2,3,4,5]=>[1,6,2,3,4,5]=>([(1,5),(2,5),(3,5),(4,5)],6)
[2,1,3,4,5,6]=>[1,3,4,5,6,2]=>[1,6,3,4,5,2]=>([(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[2,1,3,4,6,5]=>[1,3,4,6,2,5]=>[1,6,3,4,2,5]=>([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[2,1,3,5,4,6]=>[1,3,5,2,4,6]=>[1,5,3,2,4,6]=>([(2,5),(3,4),(3,5),(4,5)],6)
[2,1,3,5,6,4]=>[1,3,5,6,2,4]=>[1,6,3,2,5,4]=>([(1,4),(1,5),(2,3),(2,5),(3,5),(4,5)],6)
[2,1,3,6,4,5]=>[1,3,6,2,4,5]=>[1,6,3,2,4,5]=>([(1,5),(2,5),(3,4),(3,5),(4,5)],6)
[2,1,3,6,5,4]=>[1,3,6,2,4,5]=>[1,6,3,2,4,5]=>([(1,5),(2,5),(3,4),(3,5),(4,5)],6)
[2,1,4,3,5,6]=>[1,4,2,3,5,6]=>[1,4,2,3,5,6]=>([(3,5),(4,5)],6)
[2,1,4,3,6,5]=>[1,4,2,3,6,5]=>[1,4,2,3,6,5]=>([(1,2),(3,5),(4,5)],6)
[2,1,4,5,3,6]=>[1,4,5,2,3,6]=>[1,5,2,4,3,6]=>([(2,5),(3,4),(3,5),(4,5)],6)
[2,1,4,5,6,3]=>[1,4,5,6,2,3]=>[1,6,2,4,5,3]=>([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[2,1,4,6,3,5]=>[1,4,6,2,3,5]=>[1,6,2,4,3,5]=>([(1,5),(2,5),(3,4),(3,5),(4,5)],6)
[2,1,4,6,5,3]=>[1,4,6,2,3,5]=>[1,6,2,4,3,5]=>([(1,5),(2,5),(3,4),(3,5),(4,5)],6)
[2,1,5,3,4,6]=>[1,5,2,3,4,6]=>[1,5,2,3,4,6]=>([(2,5),(3,5),(4,5)],6)
[2,1,5,3,6,4]=>[1,5,2,3,6,4]=>[1,5,2,6,3,4]=>([(1,5),(2,3),(2,4),(3,5),(4,5)],6)
[2,1,5,4,3,6]=>[1,5,2,3,6,4]=>[1,5,2,6,3,4]=>([(1,5),(2,3),(2,4),(3,5),(4,5)],6)
[2,1,5,4,6,3]=>[1,5,2,3,4,6]=>[1,5,2,3,4,6]=>([(2,5),(3,5),(4,5)],6)
[2,1,5,6,3,4]=>[1,5,6,2,3,4]=>[1,6,2,3,5,4]=>([(1,5),(2,5),(3,4),(3,5),(4,5)],6)
[2,1,5,6,4,3]=>[1,5,6,2,3,4]=>[1,6,2,3,5,4]=>([(1,5),(2,5),(3,4),(3,5),(4,5)],6)
[2,1,6,3,4,5]=>[1,6,2,3,4,5]=>[1,6,2,3,4,5]=>([(1,5),(2,5),(3,5),(4,5)],6)
[2,1,6,3,5,4]=>[1,6,2,3,5,4]=>[1,6,2,5,3,4]=>([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[2,1,6,4,3,5]=>[1,6,2,3,5,4]=>[1,6,2,5,3,4]=>([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[2,1,6,4,5,3]=>[1,6,2,3,4,5]=>[1,6,2,3,4,5]=>([(1,5),(2,5),(3,5),(4,5)],6)
[2,1,6,5,3,4]=>[1,6,2,3,4,5]=>[1,6,2,3,4,5]=>([(1,5),(2,5),(3,5),(4,5)],6)
[2,1,6,5,4,3]=>[1,6,2,3,4,5]=>[1,6,2,3,4,5]=>([(1,5),(2,5),(3,5),(4,5)],6)
[2,3,1,4,5,6]=>[1,4,5,6,2,3]=>[1,6,2,4,5,3]=>([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[2,3,1,4,6,5]=>[1,4,6,2,3,5]=>[1,6,2,4,3,5]=>([(1,5),(2,5),(3,4),(3,5),(4,5)],6)
[2,3,1,5,4,6]=>[1,5,2,3,4,6]=>[1,5,2,3,4,6]=>([(2,5),(3,5),(4,5)],6)
[2,3,1,5,6,4]=>[1,5,6,2,3,4]=>[1,6,2,3,5,4]=>([(1,5),(2,5),(3,4),(3,5),(4,5)],6)
[2,3,1,6,4,5]=>[1,6,2,3,4,5]=>[1,6,2,3,4,5]=>([(1,5),(2,5),(3,5),(4,5)],6)
[2,3,1,6,5,4]=>[1,6,2,3,4,5]=>[1,6,2,3,4,5]=>([(1,5),(2,5),(3,5),(4,5)],6)
[2,3,4,1,5,6]=>[1,5,6,2,3,4]=>[1,6,2,3,5,4]=>([(1,5),(2,5),(3,4),(3,5),(4,5)],6)
[2,3,4,1,6,5]=>[1,6,2,3,4,5]=>[1,6,2,3,4,5]=>([(1,5),(2,5),(3,5),(4,5)],6)
[2,3,4,5,1,6]=>[1,6,2,3,4,5]=>[1,6,2,3,4,5]=>([(1,5),(2,5),(3,5),(4,5)],6)
[2,3,4,5,6,1]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>([],6)
[2,3,4,6,1,5]=>[1,5,2,3,4,6]=>[1,5,2,3,4,6]=>([(2,5),(3,5),(4,5)],6)
[2,3,4,6,5,1]=>[1,2,3,4,6,5]=>[1,2,3,4,6,5]=>([(4,5)],6)
[2,3,5,1,4,6]=>[1,4,6,2,3,5]=>[1,6,2,4,3,5]=>([(1,5),(2,5),(3,4),(3,5),(4,5)],6)
[2,3,5,1,6,4]=>[1,6,2,3,5,4]=>[1,6,2,5,3,4]=>([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[2,3,5,4,1,6]=>[1,6,2,3,5,4]=>[1,6,2,5,3,4]=>([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[2,3,5,4,6,1]=>[1,2,3,5,4,6]=>[1,2,3,5,4,6]=>([(4,5)],6)
[2,3,5,6,1,4]=>[1,4,2,3,5,6]=>[1,4,2,3,5,6]=>([(3,5),(4,5)],6)
[2,3,5,6,4,1]=>[1,2,3,5,6,4]=>[1,2,3,6,5,4]=>([(3,4),(3,5),(4,5)],6)
[2,3,6,1,4,5]=>[1,4,5,2,3,6]=>[1,5,2,4,3,6]=>([(2,5),(3,4),(3,5),(4,5)],6)
[2,3,6,1,5,4]=>[1,5,2,3,6,4]=>[1,5,2,6,3,4]=>([(1,5),(2,3),(2,4),(3,5),(4,5)],6)
[2,3,6,4,1,5]=>[1,5,2,3,6,4]=>[1,5,2,6,3,4]=>([(1,5),(2,3),(2,4),(3,5),(4,5)],6)
[2,3,6,4,5,1]=>[1,2,3,6,4,5]=>[1,2,3,6,4,5]=>([(3,5),(4,5)],6)
[2,3,6,5,1,4]=>[1,4,2,3,6,5]=>[1,4,2,3,6,5]=>([(1,2),(3,5),(4,5)],6)
[2,3,6,5,4,1]=>[1,2,3,6,4,5]=>[1,2,3,6,4,5]=>([(3,5),(4,5)],6)
[2,4,1,3,5,6]=>[1,3,5,6,2,4]=>[1,6,3,2,5,4]=>([(1,4),(1,5),(2,3),(2,5),(3,5),(4,5)],6)
[2,4,1,3,6,5]=>[1,3,6,2,4,5]=>[1,6,3,2,4,5]=>([(1,5),(2,5),(3,4),(3,5),(4,5)],6)
[2,4,1,5,3,6]=>[1,5,2,4,3,6]=>[1,5,4,2,3,6]=>([(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[2,4,1,5,6,3]=>[1,5,6,2,4,3]=>[1,6,4,2,5,3]=>([(1,4),(1,5),(2,3),(2,5),(3,4),(3,5),(4,5)],6)
[2,4,1,6,3,5]=>[1,6,2,4,3,5]=>[1,6,4,2,3,5]=>([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[2,4,1,6,5,3]=>[1,6,2,4,3,5]=>[1,6,4,2,3,5]=>([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[2,4,3,1,5,6]=>[1,5,6,2,4,3]=>[1,6,4,2,5,3]=>([(1,4),(1,5),(2,3),(2,5),(3,4),(3,5),(4,5)],6)
[2,4,3,1,6,5]=>[1,6,2,4,3,5]=>[1,6,4,2,3,5]=>([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[2,4,3,5,1,6]=>[1,6,2,4,3,5]=>[1,6,4,2,3,5]=>([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[2,4,3,5,6,1]=>[1,2,4,3,5,6]=>[1,2,4,3,5,6]=>([(4,5)],6)
[2,4,3,6,1,5]=>[1,5,2,4,3,6]=>[1,5,4,2,3,6]=>([(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[2,4,3,6,5,1]=>[1,2,4,3,6,5]=>[1,2,4,3,6,5]=>([(2,5),(3,4)],6)
[2,4,5,1,3,6]=>[1,3,6,2,4,5]=>[1,6,3,2,4,5]=>([(1,5),(2,5),(3,4),(3,5),(4,5)],6)
[2,4,5,1,6,3]=>[1,6,2,4,5,3]=>[1,6,5,2,4,3]=>([(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[2,4,5,3,1,6]=>[1,6,2,4,5,3]=>[1,6,5,2,4,3]=>([(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[2,4,5,3,6,1]=>[1,2,4,5,3,6]=>[1,2,5,4,3,6]=>([(3,4),(3,5),(4,5)],6)
[2,4,5,6,1,3]=>[1,3,2,4,5,6]=>[1,3,2,4,5,6]=>([(4,5)],6)
[2,4,5,6,3,1]=>[1,2,4,5,6,3]=>[1,2,6,4,5,3]=>([(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[2,4,6,1,3,5]=>[1,3,5,2,4,6]=>[1,5,3,2,4,6]=>([(2,5),(3,4),(3,5),(4,5)],6)
[2,4,6,1,5,3]=>[1,5,2,4,6,3]=>[1,5,6,2,4,3]=>([(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6)
[2,4,6,3,1,5]=>[1,5,2,4,6,3]=>[1,5,6,2,4,3]=>([(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6)
[2,4,6,3,5,1]=>[1,2,4,6,3,5]=>[1,2,6,4,3,5]=>([(2,5),(3,4),(3,5),(4,5)],6)
[2,4,6,5,1,3]=>[1,3,2,4,6,5]=>[1,3,2,4,6,5]=>([(2,5),(3,4)],6)
[2,4,6,5,3,1]=>[1,2,4,6,3,5]=>[1,2,6,4,3,5]=>([(2,5),(3,4),(3,5),(4,5)],6)
[2,5,1,3,4,6]=>[1,3,4,6,2,5]=>[1,6,3,4,2,5]=>([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[2,5,1,3,6,4]=>[1,3,6,2,5,4]=>[1,6,3,5,2,4]=>([(1,4),(1,5),(2,3),(2,5),(3,4),(3,5),(4,5)],6)
[2,5,1,4,3,6]=>[1,4,2,5,3,6]=>[1,4,5,2,3,6]=>([(2,4),(2,5),(3,4),(3,5)],6)
[2,5,1,4,6,3]=>[1,4,6,2,5,3]=>[1,6,5,4,2,3]=>([(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[2,5,1,6,3,4]=>[1,6,2,5,3,4]=>[1,6,5,3,2,4]=>([(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[2,5,1,6,4,3]=>[1,6,2,5,3,4]=>[1,6,5,3,2,4]=>([(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[2,5,3,1,4,6]=>[1,4,6,2,5,3]=>[1,6,5,4,2,3]=>([(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[2,5,3,1,6,4]=>[1,6,2,5,3,4]=>[1,6,5,3,2,4]=>([(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[2,5,3,4,1,6]=>[1,6,2,5,3,4]=>[1,6,5,3,2,4]=>([(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[2,5,3,4,6,1]=>[1,2,5,3,4,6]=>[1,2,5,3,4,6]=>([(3,5),(4,5)],6)
[2,5,3,6,1,4]=>[1,4,2,5,3,6]=>[1,4,5,2,3,6]=>([(2,4),(2,5),(3,4),(3,5)],6)
[2,5,3,6,4,1]=>[1,2,5,3,6,4]=>[1,2,5,6,3,4]=>([(2,4),(2,5),(3,4),(3,5)],6)
[2,5,4,1,3,6]=>[1,3,6,2,5,4]=>[1,6,3,5,2,4]=>([(1,4),(1,5),(2,3),(2,5),(3,4),(3,5),(4,5)],6)
[2,5,4,1,6,3]=>[1,6,2,5,3,4]=>[1,6,5,3,2,4]=>([(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[2,5,4,3,1,6]=>[1,6,2,5,3,4]=>[1,6,5,3,2,4]=>([(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[2,5,4,3,6,1]=>[1,2,5,3,6,4]=>[1,2,5,6,3,4]=>([(2,4),(2,5),(3,4),(3,5)],6)
[2,5,4,6,1,3]=>[1,3,2,5,4,6]=>[1,3,2,5,4,6]=>([(2,5),(3,4)],6)
[2,5,4,6,3,1]=>[1,2,5,3,4,6]=>[1,2,5,3,4,6]=>([(3,5),(4,5)],6)
[2,5,6,1,3,4]=>[1,3,4,2,5,6]=>[1,4,3,2,5,6]=>([(3,4),(3,5),(4,5)],6)
[2,5,6,1,4,3]=>[1,4,2,5,6,3]=>[1,4,6,2,5,3]=>([(1,2),(1,5),(2,4),(3,4),(3,5),(4,5)],6)
[2,5,6,3,1,4]=>[1,4,2,5,6,3]=>[1,4,6,2,5,3]=>([(1,2),(1,5),(2,4),(3,4),(3,5),(4,5)],6)
[2,5,6,3,4,1]=>[1,2,5,6,3,4]=>[1,2,6,3,5,4]=>([(2,5),(3,4),(3,5),(4,5)],6)
[2,5,6,4,1,3]=>[1,3,2,5,6,4]=>[1,3,2,6,5,4]=>([(1,2),(3,4),(3,5),(4,5)],6)
[2,5,6,4,3,1]=>[1,2,5,6,3,4]=>[1,2,6,3,5,4]=>([(2,5),(3,4),(3,5),(4,5)],6)
[2,6,1,3,4,5]=>[1,3,4,5,2,6]=>[1,5,3,4,2,6]=>([(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[2,6,1,3,5,4]=>[1,3,5,2,6,4]=>[1,5,3,6,2,4]=>([(1,2),(1,5),(2,4),(3,4),(3,5),(4,5)],6)
[2,6,1,4,3,5]=>[1,4,2,6,3,5]=>[1,4,6,2,3,5]=>([(1,5),(2,3),(2,4),(3,5),(4,5)],6)
[2,6,1,4,5,3]=>[1,4,5,2,6,3]=>[1,5,6,4,2,3]=>([(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6)
[2,6,1,5,3,4]=>[1,5,2,6,3,4]=>[1,5,6,3,2,4]=>([(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6)
[2,6,1,5,4,3]=>[1,5,2,6,3,4]=>[1,5,6,3,2,4]=>([(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6)
[2,6,3,1,4,5]=>[1,4,5,2,6,3]=>[1,5,6,4,2,3]=>([(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6)
[2,6,3,1,5,4]=>[1,5,2,6,3,4]=>[1,5,6,3,2,4]=>([(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6)
[2,6,3,4,1,5]=>[1,5,2,6,3,4]=>[1,5,6,3,2,4]=>([(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6)
[2,6,3,4,5,1]=>[1,2,6,3,4,5]=>[1,2,6,3,4,5]=>([(2,5),(3,5),(4,5)],6)
[2,6,3,5,1,4]=>[1,4,2,6,3,5]=>[1,4,6,2,3,5]=>([(1,5),(2,3),(2,4),(3,5),(4,5)],6)
[2,6,3,5,4,1]=>[1,2,6,3,5,4]=>[1,2,6,5,3,4]=>([(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[2,6,4,1,3,5]=>[1,3,5,2,6,4]=>[1,5,3,6,2,4]=>([(1,2),(1,5),(2,4),(3,4),(3,5),(4,5)],6)
[2,6,4,1,5,3]=>[1,5,2,6,3,4]=>[1,5,6,3,2,4]=>([(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6)
[2,6,4,3,1,5]=>[1,5,2,6,3,4]=>[1,5,6,3,2,4]=>([(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6)
[2,6,4,3,5,1]=>[1,2,6,3,5,4]=>[1,2,6,5,3,4]=>([(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[2,6,4,5,1,3]=>[1,3,2,6,4,5]=>[1,3,2,6,4,5]=>([(1,2),(3,5),(4,5)],6)
[2,6,4,5,3,1]=>[1,2,6,3,4,5]=>[1,2,6,3,4,5]=>([(2,5),(3,5),(4,5)],6)
[2,6,5,1,3,4]=>[1,3,4,2,6,5]=>[1,4,3,2,6,5]=>([(1,2),(3,4),(3,5),(4,5)],6)
[2,6,5,1,4,3]=>[1,4,2,6,3,5]=>[1,4,6,2,3,5]=>([(1,5),(2,3),(2,4),(3,5),(4,5)],6)
[2,6,5,3,1,4]=>[1,4,2,6,3,5]=>[1,4,6,2,3,5]=>([(1,5),(2,3),(2,4),(3,5),(4,5)],6)
[2,6,5,3,4,1]=>[1,2,6,3,4,5]=>[1,2,6,3,4,5]=>([(2,5),(3,5),(4,5)],6)
[2,6,5,4,1,3]=>[1,3,2,6,4,5]=>[1,3,2,6,4,5]=>([(1,2),(3,5),(4,5)],6)
[2,6,5,4,3,1]=>[1,2,6,3,4,5]=>[1,2,6,3,4,5]=>([(2,5),(3,5),(4,5)],6)
[3,1,2,4,5,6]=>[1,2,4,5,6,3]=>[1,2,6,4,5,3]=>([(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[3,1,2,4,6,5]=>[1,2,4,6,3,5]=>[1,2,6,4,3,5]=>([(2,5),(3,4),(3,5),(4,5)],6)
[3,1,2,5,4,6]=>[1,2,5,3,4,6]=>[1,2,5,3,4,6]=>([(3,5),(4,5)],6)
[3,1,2,5,6,4]=>[1,2,5,6,3,4]=>[1,2,6,3,5,4]=>([(2,5),(3,4),(3,5),(4,5)],6)
[3,1,2,6,4,5]=>[1,2,6,3,4,5]=>[1,2,6,3,4,5]=>([(2,5),(3,5),(4,5)],6)
[3,1,2,6,5,4]=>[1,2,6,3,4,5]=>[1,2,6,3,4,5]=>([(2,5),(3,5),(4,5)],6)
[3,1,4,2,5,6]=>[1,4,2,5,6,3]=>[1,4,6,2,5,3]=>([(1,2),(1,5),(2,4),(3,4),(3,5),(4,5)],6)
[3,1,4,2,6,5]=>[1,4,2,6,3,5]=>[1,4,6,2,3,5]=>([(1,5),(2,3),(2,4),(3,5),(4,5)],6)
[3,1,4,5,2,6]=>[1,4,5,2,6,3]=>[1,5,6,4,2,3]=>([(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6)
[3,1,4,5,6,2]=>[1,4,5,6,2,3]=>[1,6,2,4,5,3]=>([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[3,1,4,6,2,5]=>[1,4,6,2,5,3]=>[1,6,5,4,2,3]=>([(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[3,1,4,6,5,2]=>[1,4,6,2,3,5]=>[1,6,2,4,3,5]=>([(1,5),(2,5),(3,4),(3,5),(4,5)],6)
[3,1,5,2,4,6]=>[1,5,2,4,6,3]=>[1,5,6,2,4,3]=>([(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6)
[3,1,5,2,6,4]=>[1,5,2,6,3,4]=>[1,5,6,3,2,4]=>([(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6)
[3,1,5,4,2,6]=>[1,5,2,6,3,4]=>[1,5,6,3,2,4]=>([(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6)
[3,1,5,4,6,2]=>[1,5,2,3,4,6]=>[1,5,2,3,4,6]=>([(2,5),(3,5),(4,5)],6)
[3,1,5,6,2,4]=>[1,5,6,2,4,3]=>[1,6,4,2,5,3]=>([(1,4),(1,5),(2,3),(2,5),(3,4),(3,5),(4,5)],6)
[3,1,5,6,4,2]=>[1,5,6,2,3,4]=>[1,6,2,3,5,4]=>([(1,5),(2,5),(3,4),(3,5),(4,5)],6)
[3,1,6,2,4,5]=>[1,6,2,4,5,3]=>[1,6,5,2,4,3]=>([(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[3,1,6,2,5,4]=>[1,6,2,5,3,4]=>[1,6,5,3,2,4]=>([(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[3,1,6,4,2,5]=>[1,6,2,5,3,4]=>[1,6,5,3,2,4]=>([(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[3,1,6,4,5,2]=>[1,6,2,3,4,5]=>[1,6,2,3,4,5]=>([(1,5),(2,5),(3,5),(4,5)],6)
[3,1,6,5,2,4]=>[1,6,2,4,3,5]=>[1,6,4,2,3,5]=>([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[3,1,6,5,4,2]=>[1,6,2,3,4,5]=>[1,6,2,3,4,5]=>([(1,5),(2,5),(3,5),(4,5)],6)
[3,2,1,4,5,6]=>[1,4,5,6,2,3]=>[1,6,2,4,5,3]=>([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[3,2,1,4,6,5]=>[1,4,6,2,3,5]=>[1,6,2,4,3,5]=>([(1,5),(2,5),(3,4),(3,5),(4,5)],6)
[3,2,1,5,4,6]=>[1,5,2,3,4,6]=>[1,5,2,3,4,6]=>([(2,5),(3,5),(4,5)],6)
[3,2,1,5,6,4]=>[1,5,6,2,3,4]=>[1,6,2,3,5,4]=>([(1,5),(2,5),(3,4),(3,5),(4,5)],6)
[3,2,1,6,4,5]=>[1,6,2,3,4,5]=>[1,6,2,3,4,5]=>([(1,5),(2,5),(3,5),(4,5)],6)
[3,2,1,6,5,4]=>[1,6,2,3,4,5]=>[1,6,2,3,4,5]=>([(1,5),(2,5),(3,5),(4,5)],6)
[3,2,4,1,5,6]=>[1,5,6,2,4,3]=>[1,6,4,2,5,3]=>([(1,4),(1,5),(2,3),(2,5),(3,4),(3,5),(4,5)],6)
[3,2,4,1,6,5]=>[1,6,2,4,3,5]=>[1,6,4,2,3,5]=>([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[3,2,4,5,1,6]=>[1,6,2,4,5,3]=>[1,6,5,2,4,3]=>([(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[3,2,4,5,6,1]=>[1,2,4,5,6,3]=>[1,2,6,4,5,3]=>([(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[3,2,4,6,1,5]=>[1,5,2,4,6,3]=>[1,5,6,2,4,3]=>([(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6)
[3,2,4,6,5,1]=>[1,2,4,6,3,5]=>[1,2,6,4,3,5]=>([(2,5),(3,4),(3,5),(4,5)],6)
[3,2,5,1,4,6]=>[1,4,6,2,5,3]=>[1,6,5,4,2,3]=>([(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[3,2,5,1,6,4]=>[1,6,2,5,3,4]=>[1,6,5,3,2,4]=>([(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[3,2,5,4,1,6]=>[1,6,2,5,3,4]=>[1,6,5,3,2,4]=>([(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[3,2,5,4,6,1]=>[1,2,5,3,4,6]=>[1,2,5,3,4,6]=>([(3,5),(4,5)],6)
[3,2,5,6,1,4]=>[1,4,2,5,6,3]=>[1,4,6,2,5,3]=>([(1,2),(1,5),(2,4),(3,4),(3,5),(4,5)],6)
[3,2,5,6,4,1]=>[1,2,5,6,3,4]=>[1,2,6,3,5,4]=>([(2,5),(3,4),(3,5),(4,5)],6)
[3,2,6,1,4,5]=>[1,4,5,2,6,3]=>[1,5,6,4,2,3]=>([(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6)
[3,2,6,1,5,4]=>[1,5,2,6,3,4]=>[1,5,6,3,2,4]=>([(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6)
[3,2,6,4,1,5]=>[1,5,2,6,3,4]=>[1,5,6,3,2,4]=>([(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6)
[3,2,6,4,5,1]=>[1,2,6,3,4,5]=>[1,2,6,3,4,5]=>([(2,5),(3,5),(4,5)],6)
[3,2,6,5,1,4]=>[1,4,2,6,3,5]=>[1,4,6,2,3,5]=>([(1,5),(2,3),(2,4),(3,5),(4,5)],6)
[3,2,6,5,4,1]=>[1,2,6,3,4,5]=>[1,2,6,3,4,5]=>([(2,5),(3,5),(4,5)],6)
[3,4,1,2,5,6]=>[1,2,5,6,3,4]=>[1,2,6,3,5,4]=>([(2,5),(3,4),(3,5),(4,5)],6)
[3,4,1,2,6,5]=>[1,2,6,3,4,5]=>[1,2,6,3,4,5]=>([(2,5),(3,5),(4,5)],6)
[3,4,1,5,2,6]=>[1,5,2,6,3,4]=>[1,5,6,3,2,4]=>([(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6)
[3,4,1,5,6,2]=>[1,5,6,2,3,4]=>[1,6,2,3,5,4]=>([(1,5),(2,5),(3,4),(3,5),(4,5)],6)
[3,4,1,6,2,5]=>[1,6,2,5,3,4]=>[1,6,5,3,2,4]=>([(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[3,4,1,6,5,2]=>[1,6,2,3,4,5]=>[1,6,2,3,4,5]=>([(1,5),(2,5),(3,5),(4,5)],6)
[3,4,2,1,5,6]=>[1,5,6,2,3,4]=>[1,6,2,3,5,4]=>([(1,5),(2,5),(3,4),(3,5),(4,5)],6)
[3,4,2,1,6,5]=>[1,6,2,3,4,5]=>[1,6,2,3,4,5]=>([(1,5),(2,5),(3,5),(4,5)],6)
[3,4,2,5,1,6]=>[1,6,2,5,3,4]=>[1,6,5,3,2,4]=>([(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[3,4,2,5,6,1]=>[1,2,5,6,3,4]=>[1,2,6,3,5,4]=>([(2,5),(3,4),(3,5),(4,5)],6)
[3,4,2,6,1,5]=>[1,5,2,6,3,4]=>[1,5,6,3,2,4]=>([(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6)
[3,4,2,6,5,1]=>[1,2,6,3,4,5]=>[1,2,6,3,4,5]=>([(2,5),(3,5),(4,5)],6)
[3,4,5,1,2,6]=>[1,2,6,3,4,5]=>[1,2,6,3,4,5]=>([(2,5),(3,5),(4,5)],6)
[3,4,5,1,6,2]=>[1,6,2,3,4,5]=>[1,6,2,3,4,5]=>([(1,5),(2,5),(3,5),(4,5)],6)
[3,4,5,2,1,6]=>[1,6,2,3,4,5]=>[1,6,2,3,4,5]=>([(1,5),(2,5),(3,5),(4,5)],6)
[3,4,5,2,6,1]=>[1,2,6,3,4,5]=>[1,2,6,3,4,5]=>([(2,5),(3,5),(4,5)],6)
[3,4,5,6,1,2]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>([],6)
[3,4,5,6,2,1]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>([],6)
[3,4,6,1,2,5]=>[1,2,5,3,4,6]=>[1,2,5,3,4,6]=>([(3,5),(4,5)],6)
[3,4,6,1,5,2]=>[1,5,2,3,4,6]=>[1,5,2,3,4,6]=>([(2,5),(3,5),(4,5)],6)
[3,4,6,2,1,5]=>[1,5,2,3,4,6]=>[1,5,2,3,4,6]=>([(2,5),(3,5),(4,5)],6)
[3,4,6,2,5,1]=>[1,2,5,3,4,6]=>[1,2,5,3,4,6]=>([(3,5),(4,5)],6)
[3,4,6,5,1,2]=>[1,2,3,4,6,5]=>[1,2,3,4,6,5]=>([(4,5)],6)
[3,4,6,5,2,1]=>[1,2,3,4,6,5]=>[1,2,3,4,6,5]=>([(4,5)],6)
[3,5,1,2,4,6]=>[1,2,4,6,3,5]=>[1,2,6,4,3,5]=>([(2,5),(3,4),(3,5),(4,5)],6)
[3,5,1,2,6,4]=>[1,2,6,3,5,4]=>[1,2,6,5,3,4]=>([(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[3,5,1,4,2,6]=>[1,4,2,6,3,5]=>[1,4,6,2,3,5]=>([(1,5),(2,3),(2,4),(3,5),(4,5)],6)
[3,5,1,4,6,2]=>[1,4,6,2,3,5]=>[1,6,2,4,3,5]=>([(1,5),(2,5),(3,4),(3,5),(4,5)],6)
[3,5,1,6,2,4]=>[1,6,2,4,3,5]=>[1,6,4,2,3,5]=>([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[3,5,1,6,4,2]=>[1,6,2,3,5,4]=>[1,6,2,5,3,4]=>([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[3,5,2,1,4,6]=>[1,4,6,2,3,5]=>[1,6,2,4,3,5]=>([(1,5),(2,5),(3,4),(3,5),(4,5)],6)
[3,5,2,1,6,4]=>[1,6,2,3,5,4]=>[1,6,2,5,3,4]=>([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[3,5,2,4,1,6]=>[1,6,2,4,3,5]=>[1,6,4,2,3,5]=>([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[3,5,2,4,6,1]=>[1,2,4,6,3,5]=>[1,2,6,4,3,5]=>([(2,5),(3,4),(3,5),(4,5)],6)
[3,5,2,6,1,4]=>[1,4,2,6,3,5]=>[1,4,6,2,3,5]=>([(1,5),(2,3),(2,4),(3,5),(4,5)],6)
[3,5,2,6,4,1]=>[1,2,6,3,5,4]=>[1,2,6,5,3,4]=>([(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[3,5,4,1,2,6]=>[1,2,6,3,5,4]=>[1,2,6,5,3,4]=>([(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[3,5,4,1,6,2]=>[1,6,2,3,5,4]=>[1,6,2,5,3,4]=>([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[3,5,4,2,1,6]=>[1,6,2,3,5,4]=>[1,6,2,5,3,4]=>([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[3,5,4,2,6,1]=>[1,2,6,3,5,4]=>[1,2,6,5,3,4]=>([(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[3,5,4,6,1,2]=>[1,2,3,5,4,6]=>[1,2,3,5,4,6]=>([(4,5)],6)
[3,5,4,6,2,1]=>[1,2,3,5,4,6]=>[1,2,3,5,4,6]=>([(4,5)],6)
[3,5,6,1,2,4]=>[1,2,4,3,5,6]=>[1,2,4,3,5,6]=>([(4,5)],6)
[3,5,6,1,4,2]=>[1,4,2,3,5,6]=>[1,4,2,3,5,6]=>([(3,5),(4,5)],6)
[3,5,6,2,1,4]=>[1,4,2,3,5,6]=>[1,4,2,3,5,6]=>([(3,5),(4,5)],6)
[3,5,6,2,4,1]=>[1,2,4,3,5,6]=>[1,2,4,3,5,6]=>([(4,5)],6)
[3,5,6,4,1,2]=>[1,2,3,5,6,4]=>[1,2,3,6,5,4]=>([(3,4),(3,5),(4,5)],6)
[3,5,6,4,2,1]=>[1,2,3,5,6,4]=>[1,2,3,6,5,4]=>([(3,4),(3,5),(4,5)],6)
[3,6,1,2,4,5]=>[1,2,4,5,3,6]=>[1,2,5,4,3,6]=>([(3,4),(3,5),(4,5)],6)
[3,6,1,2,5,4]=>[1,2,5,3,6,4]=>[1,2,5,6,3,4]=>([(2,4),(2,5),(3,4),(3,5)],6)
[3,6,1,4,2,5]=>[1,4,2,5,3,6]=>[1,4,5,2,3,6]=>([(2,4),(2,5),(3,4),(3,5)],6)
[3,6,1,4,5,2]=>[1,4,5,2,3,6]=>[1,5,2,4,3,6]=>([(2,5),(3,4),(3,5),(4,5)],6)
[3,6,1,5,2,4]=>[1,5,2,4,3,6]=>[1,5,4,2,3,6]=>([(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[3,6,1,5,4,2]=>[1,5,2,3,6,4]=>[1,5,2,6,3,4]=>([(1,5),(2,3),(2,4),(3,5),(4,5)],6)
[3,6,2,1,4,5]=>[1,4,5,2,3,6]=>[1,5,2,4,3,6]=>([(2,5),(3,4),(3,5),(4,5)],6)
[3,6,2,1,5,4]=>[1,5,2,3,6,4]=>[1,5,2,6,3,4]=>([(1,5),(2,3),(2,4),(3,5),(4,5)],6)
[3,6,2,4,1,5]=>[1,5,2,4,3,6]=>[1,5,4,2,3,6]=>([(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[3,6,2,4,5,1]=>[1,2,4,5,3,6]=>[1,2,5,4,3,6]=>([(3,4),(3,5),(4,5)],6)
[3,6,2,5,1,4]=>[1,4,2,5,3,6]=>[1,4,5,2,3,6]=>([(2,4),(2,5),(3,4),(3,5)],6)
[3,6,2,5,4,1]=>[1,2,5,3,6,4]=>[1,2,5,6,3,4]=>([(2,4),(2,5),(3,4),(3,5)],6)
[3,6,4,1,2,5]=>[1,2,5,3,6,4]=>[1,2,5,6,3,4]=>([(2,4),(2,5),(3,4),(3,5)],6)
[3,6,4,1,5,2]=>[1,5,2,3,6,4]=>[1,5,2,6,3,4]=>([(1,5),(2,3),(2,4),(3,5),(4,5)],6)
[3,6,4,2,1,5]=>[1,5,2,3,6,4]=>[1,5,2,6,3,4]=>([(1,5),(2,3),(2,4),(3,5),(4,5)],6)
[3,6,4,2,5,1]=>[1,2,5,3,6,4]=>[1,2,5,6,3,4]=>([(2,4),(2,5),(3,4),(3,5)],6)
[3,6,4,5,1,2]=>[1,2,3,6,4,5]=>[1,2,3,6,4,5]=>([(3,5),(4,5)],6)
[3,6,4,5,2,1]=>[1,2,3,6,4,5]=>[1,2,3,6,4,5]=>([(3,5),(4,5)],6)
[3,6,5,1,2,4]=>[1,2,4,3,6,5]=>[1,2,4,3,6,5]=>([(2,5),(3,4)],6)
[3,6,5,1,4,2]=>[1,4,2,3,6,5]=>[1,4,2,3,6,5]=>([(1,2),(3,5),(4,5)],6)
[3,6,5,2,1,4]=>[1,4,2,3,6,5]=>[1,4,2,3,6,5]=>([(1,2),(3,5),(4,5)],6)
[3,6,5,2,4,1]=>[1,2,4,3,6,5]=>[1,2,4,3,6,5]=>([(2,5),(3,4)],6)
[3,6,5,4,1,2]=>[1,2,3,6,4,5]=>[1,2,3,6,4,5]=>([(3,5),(4,5)],6)
[3,6,5,4,2,1]=>[1,2,3,6,4,5]=>[1,2,3,6,4,5]=>([(3,5),(4,5)],6)
[4,1,2,3,5,6]=>[1,2,3,5,6,4]=>[1,2,3,6,5,4]=>([(3,4),(3,5),(4,5)],6)
[4,1,2,3,6,5]=>[1,2,3,6,4,5]=>[1,2,3,6,4,5]=>([(3,5),(4,5)],6)
[4,1,2,5,3,6]=>[1,2,5,3,6,4]=>[1,2,5,6,3,4]=>([(2,4),(2,5),(3,4),(3,5)],6)
[4,1,2,5,6,3]=>[1,2,5,6,3,4]=>[1,2,6,3,5,4]=>([(2,5),(3,4),(3,5),(4,5)],6)
[4,1,2,6,3,5]=>[1,2,6,3,5,4]=>[1,2,6,5,3,4]=>([(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[4,1,2,6,5,3]=>[1,2,6,3,4,5]=>[1,2,6,3,4,5]=>([(2,5),(3,5),(4,5)],6)
[4,1,3,2,5,6]=>[1,3,2,5,6,4]=>[1,3,2,6,5,4]=>([(1,2),(3,4),(3,5),(4,5)],6)
[4,1,3,2,6,5]=>[1,3,2,6,4,5]=>[1,3,2,6,4,5]=>([(1,2),(3,5),(4,5)],6)
[4,1,3,5,2,6]=>[1,3,5,2,6,4]=>[1,5,3,6,2,4]=>([(1,2),(1,5),(2,4),(3,4),(3,5),(4,5)],6)
[4,1,3,5,6,2]=>[1,3,5,6,2,4]=>[1,6,3,2,5,4]=>([(1,4),(1,5),(2,3),(2,5),(3,5),(4,5)],6)
[4,1,3,6,2,5]=>[1,3,6,2,5,4]=>[1,6,3,5,2,4]=>([(1,4),(1,5),(2,3),(2,5),(3,4),(3,5),(4,5)],6)
[4,1,3,6,5,2]=>[1,3,6,2,4,5]=>[1,6,3,2,4,5]=>([(1,5),(2,5),(3,4),(3,5),(4,5)],6)
[4,1,5,2,3,6]=>[1,5,2,3,6,4]=>[1,5,2,6,3,4]=>([(1,5),(2,3),(2,4),(3,5),(4,5)],6)
[4,1,5,2,6,3]=>[1,5,2,6,3,4]=>[1,5,6,3,2,4]=>([(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6)
[4,1,5,3,2,6]=>[1,5,2,6,3,4]=>[1,5,6,3,2,4]=>([(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6)
[4,1,5,3,6,2]=>[1,5,2,3,6,4]=>[1,5,2,6,3,4]=>([(1,5),(2,3),(2,4),(3,5),(4,5)],6)
[4,1,5,6,2,3]=>[1,5,6,2,3,4]=>[1,6,2,3,5,4]=>([(1,5),(2,5),(3,4),(3,5),(4,5)],6)
[4,1,5,6,3,2]=>[1,5,6,2,3,4]=>[1,6,2,3,5,4]=>([(1,5),(2,5),(3,4),(3,5),(4,5)],6)
[4,1,6,2,3,5]=>[1,6,2,3,5,4]=>[1,6,2,5,3,4]=>([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[4,1,6,2,5,3]=>[1,6,2,5,3,4]=>[1,6,5,3,2,4]=>([(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[4,1,6,3,2,5]=>[1,6,2,5,3,4]=>[1,6,5,3,2,4]=>([(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[4,1,6,3,5,2]=>[1,6,2,3,5,4]=>[1,6,2,5,3,4]=>([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[4,1,6,5,2,3]=>[1,6,2,3,4,5]=>[1,6,2,3,4,5]=>([(1,5),(2,5),(3,5),(4,5)],6)
[4,1,6,5,3,2]=>[1,6,2,3,4,5]=>[1,6,2,3,4,5]=>([(1,5),(2,5),(3,5),(4,5)],6)
[4,2,1,3,5,6]=>[1,3,5,6,2,4]=>[1,6,3,2,5,4]=>([(1,4),(1,5),(2,3),(2,5),(3,5),(4,5)],6)
[4,2,1,3,6,5]=>[1,3,6,2,4,5]=>[1,6,3,2,4,5]=>([(1,5),(2,5),(3,4),(3,5),(4,5)],6)
[4,2,1,5,3,6]=>[1,5,2,3,6,4]=>[1,5,2,6,3,4]=>([(1,5),(2,3),(2,4),(3,5),(4,5)],6)
[4,2,1,5,6,3]=>[1,5,6,2,3,4]=>[1,6,2,3,5,4]=>([(1,5),(2,5),(3,4),(3,5),(4,5)],6)
[4,2,1,6,3,5]=>[1,6,2,3,5,4]=>[1,6,2,5,3,4]=>([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[4,2,1,6,5,3]=>[1,6,2,3,4,5]=>[1,6,2,3,4,5]=>([(1,5),(2,5),(3,5),(4,5)],6)
[4,2,3,1,5,6]=>[1,5,6,2,3,4]=>[1,6,2,3,5,4]=>([(1,5),(2,5),(3,4),(3,5),(4,5)],6)
[4,2,3,1,6,5]=>[1,6,2,3,4,5]=>[1,6,2,3,4,5]=>([(1,5),(2,5),(3,5),(4,5)],6)
[4,2,3,5,1,6]=>[1,6,2,3,5,4]=>[1,6,2,5,3,4]=>([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[4,2,3,5,6,1]=>[1,2,3,5,6,4]=>[1,2,3,6,5,4]=>([(3,4),(3,5),(4,5)],6)
[4,2,3,6,1,5]=>[1,5,2,3,6,4]=>[1,5,2,6,3,4]=>([(1,5),(2,3),(2,4),(3,5),(4,5)],6)
[4,2,3,6,5,1]=>[1,2,3,6,4,5]=>[1,2,3,6,4,5]=>([(3,5),(4,5)],6)
[4,2,5,1,3,6]=>[1,3,6,2,5,4]=>[1,6,3,5,2,4]=>([(1,4),(1,5),(2,3),(2,5),(3,4),(3,5),(4,5)],6)
[4,2,5,1,6,3]=>[1,6,2,5,3,4]=>[1,6,5,3,2,4]=>([(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[4,2,5,3,1,6]=>[1,6,2,5,3,4]=>[1,6,5,3,2,4]=>([(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[4,2,5,3,6,1]=>[1,2,5,3,6,4]=>[1,2,5,6,3,4]=>([(2,4),(2,5),(3,4),(3,5)],6)
[4,2,5,6,1,3]=>[1,3,2,5,6,4]=>[1,3,2,6,5,4]=>([(1,2),(3,4),(3,5),(4,5)],6)
[4,2,5,6,3,1]=>[1,2,5,6,3,4]=>[1,2,6,3,5,4]=>([(2,5),(3,4),(3,5),(4,5)],6)
[4,2,6,1,3,5]=>[1,3,5,2,6,4]=>[1,5,3,6,2,4]=>([(1,2),(1,5),(2,4),(3,4),(3,5),(4,5)],6)
[4,2,6,1,5,3]=>[1,5,2,6,3,4]=>[1,5,6,3,2,4]=>([(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6)
[4,2,6,3,1,5]=>[1,5,2,6,3,4]=>[1,5,6,3,2,4]=>([(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6)
[4,2,6,3,5,1]=>[1,2,6,3,5,4]=>[1,2,6,5,3,4]=>([(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[4,2,6,5,1,3]=>[1,3,2,6,4,5]=>[1,3,2,6,4,5]=>([(1,2),(3,5),(4,5)],6)
[4,2,6,5,3,1]=>[1,2,6,3,4,5]=>[1,2,6,3,4,5]=>([(2,5),(3,5),(4,5)],6)
[4,3,1,2,5,6]=>[1,2,5,6,3,4]=>[1,2,6,3,5,4]=>([(2,5),(3,4),(3,5),(4,5)],6)
[4,3,1,2,6,5]=>[1,2,6,3,4,5]=>[1,2,6,3,4,5]=>([(2,5),(3,5),(4,5)],6)
[4,3,1,5,2,6]=>[1,5,2,6,3,4]=>[1,5,6,3,2,4]=>([(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6)
[4,3,1,5,6,2]=>[1,5,6,2,3,4]=>[1,6,2,3,5,4]=>([(1,5),(2,5),(3,4),(3,5),(4,5)],6)
[4,3,1,6,2,5]=>[1,6,2,5,3,4]=>[1,6,5,3,2,4]=>([(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[4,3,1,6,5,2]=>[1,6,2,3,4,5]=>[1,6,2,3,4,5]=>([(1,5),(2,5),(3,5),(4,5)],6)
[4,3,2,1,5,6]=>[1,5,6,2,3,4]=>[1,6,2,3,5,4]=>([(1,5),(2,5),(3,4),(3,5),(4,5)],6)
[4,3,2,1,6,5]=>[1,6,2,3,4,5]=>[1,6,2,3,4,5]=>([(1,5),(2,5),(3,5),(4,5)],6)
[4,3,2,5,1,6]=>[1,6,2,5,3,4]=>[1,6,5,3,2,4]=>([(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[4,3,2,5,6,1]=>[1,2,5,6,3,4]=>[1,2,6,3,5,4]=>([(2,5),(3,4),(3,5),(4,5)],6)
[4,3,2,6,1,5]=>[1,5,2,6,3,4]=>[1,5,6,3,2,4]=>([(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6)
[4,3,2,6,5,1]=>[1,2,6,3,4,5]=>[1,2,6,3,4,5]=>([(2,5),(3,5),(4,5)],6)
[4,3,5,1,2,6]=>[1,2,6,3,5,4]=>[1,2,6,5,3,4]=>([(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[4,3,5,1,6,2]=>[1,6,2,3,5,4]=>[1,6,2,5,3,4]=>([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[4,3,5,2,1,6]=>[1,6,2,3,5,4]=>[1,6,2,5,3,4]=>([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[4,3,5,2,6,1]=>[1,2,6,3,5,4]=>[1,2,6,5,3,4]=>([(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[4,3,5,6,1,2]=>[1,2,3,5,6,4]=>[1,2,3,6,5,4]=>([(3,4),(3,5),(4,5)],6)
[4,3,5,6,2,1]=>[1,2,3,5,6,4]=>[1,2,3,6,5,4]=>([(3,4),(3,5),(4,5)],6)
[4,3,6,1,2,5]=>[1,2,5,3,6,4]=>[1,2,5,6,3,4]=>([(2,4),(2,5),(3,4),(3,5)],6)
[4,3,6,1,5,2]=>[1,5,2,3,6,4]=>[1,5,2,6,3,4]=>([(1,5),(2,3),(2,4),(3,5),(4,5)],6)
[4,3,6,2,1,5]=>[1,5,2,3,6,4]=>[1,5,2,6,3,4]=>([(1,5),(2,3),(2,4),(3,5),(4,5)],6)
[4,3,6,2,5,1]=>[1,2,5,3,6,4]=>[1,2,5,6,3,4]=>([(2,4),(2,5),(3,4),(3,5)],6)
[4,3,6,5,1,2]=>[1,2,3,6,4,5]=>[1,2,3,6,4,5]=>([(3,5),(4,5)],6)
[4,3,6,5,2,1]=>[1,2,3,6,4,5]=>[1,2,3,6,4,5]=>([(3,5),(4,5)],6)
[4,5,1,2,3,6]=>[1,2,3,6,4,5]=>[1,2,3,6,4,5]=>([(3,5),(4,5)],6)
[4,5,1,2,6,3]=>[1,2,6,3,4,5]=>[1,2,6,3,4,5]=>([(2,5),(3,5),(4,5)],6)
[4,5,1,3,2,6]=>[1,3,2,6,4,5]=>[1,3,2,6,4,5]=>([(1,2),(3,5),(4,5)],6)
[4,5,1,3,6,2]=>[1,3,6,2,4,5]=>[1,6,3,2,4,5]=>([(1,5),(2,5),(3,4),(3,5),(4,5)],6)
[4,5,1,6,2,3]=>[1,6,2,3,4,5]=>[1,6,2,3,4,5]=>([(1,5),(2,5),(3,5),(4,5)],6)
[4,5,1,6,3,2]=>[1,6,2,3,4,5]=>[1,6,2,3,4,5]=>([(1,5),(2,5),(3,5),(4,5)],6)
[4,5,2,1,3,6]=>[1,3,6,2,4,5]=>[1,6,3,2,4,5]=>([(1,5),(2,5),(3,4),(3,5),(4,5)],6)
[4,5,2,1,6,3]=>[1,6,2,3,4,5]=>[1,6,2,3,4,5]=>([(1,5),(2,5),(3,5),(4,5)],6)
[4,5,2,3,1,6]=>[1,6,2,3,4,5]=>[1,6,2,3,4,5]=>([(1,5),(2,5),(3,5),(4,5)],6)
[4,5,2,3,6,1]=>[1,2,3,6,4,5]=>[1,2,3,6,4,5]=>([(3,5),(4,5)],6)
[4,5,2,6,1,3]=>[1,3,2,6,4,5]=>[1,3,2,6,4,5]=>([(1,2),(3,5),(4,5)],6)
[4,5,2,6,3,1]=>[1,2,6,3,4,5]=>[1,2,6,3,4,5]=>([(2,5),(3,5),(4,5)],6)
[4,5,3,1,2,6]=>[1,2,6,3,4,5]=>[1,2,6,3,4,5]=>([(2,5),(3,5),(4,5)],6)
[4,5,3,1,6,2]=>[1,6,2,3,4,5]=>[1,6,2,3,4,5]=>([(1,5),(2,5),(3,5),(4,5)],6)
[4,5,3,2,1,6]=>[1,6,2,3,4,5]=>[1,6,2,3,4,5]=>([(1,5),(2,5),(3,5),(4,5)],6)
[4,5,3,2,6,1]=>[1,2,6,3,4,5]=>[1,2,6,3,4,5]=>([(2,5),(3,5),(4,5)],6)
[4,5,3,6,1,2]=>[1,2,3,6,4,5]=>[1,2,3,6,4,5]=>([(3,5),(4,5)],6)
[4,5,3,6,2,1]=>[1,2,3,6,4,5]=>[1,2,3,6,4,5]=>([(3,5),(4,5)],6)
[4,5,6,1,2,3]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>([],6)
[4,5,6,1,3,2]=>[1,3,2,4,5,6]=>[1,3,2,4,5,6]=>([(4,5)],6)
[4,5,6,2,1,3]=>[1,3,2,4,5,6]=>[1,3,2,4,5,6]=>([(4,5)],6)
[4,5,6,2,3,1]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>([],6)
[4,5,6,3,1,2]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>([],6)
[4,5,6,3,2,1]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>([],6)
[4,6,1,2,3,5]=>[1,2,3,5,4,6]=>[1,2,3,5,4,6]=>([(4,5)],6)
[4,6,1,2,5,3]=>[1,2,5,3,4,6]=>[1,2,5,3,4,6]=>([(3,5),(4,5)],6)
[4,6,1,3,2,5]=>[1,3,2,5,4,6]=>[1,3,2,5,4,6]=>([(2,5),(3,4)],6)
[4,6,1,3,5,2]=>[1,3,5,2,4,6]=>[1,5,3,2,4,6]=>([(2,5),(3,4),(3,5),(4,5)],6)
[4,6,1,5,2,3]=>[1,5,2,3,4,6]=>[1,5,2,3,4,6]=>([(2,5),(3,5),(4,5)],6)
[4,6,1,5,3,2]=>[1,5,2,3,4,6]=>[1,5,2,3,4,6]=>([(2,5),(3,5),(4,5)],6)
[4,6,2,1,3,5]=>[1,3,5,2,4,6]=>[1,5,3,2,4,6]=>([(2,5),(3,4),(3,5),(4,5)],6)
[4,6,2,1,5,3]=>[1,5,2,3,4,6]=>[1,5,2,3,4,6]=>([(2,5),(3,5),(4,5)],6)
[4,6,2,3,1,5]=>[1,5,2,3,4,6]=>[1,5,2,3,4,6]=>([(2,5),(3,5),(4,5)],6)
[4,6,2,3,5,1]=>[1,2,3,5,4,6]=>[1,2,3,5,4,6]=>([(4,5)],6)
[4,6,2,5,1,3]=>[1,3,2,5,4,6]=>[1,3,2,5,4,6]=>([(2,5),(3,4)],6)
[4,6,2,5,3,1]=>[1,2,5,3,4,6]=>[1,2,5,3,4,6]=>([(3,5),(4,5)],6)
[4,6,3,1,2,5]=>[1,2,5,3,4,6]=>[1,2,5,3,4,6]=>([(3,5),(4,5)],6)
[4,6,3,1,5,2]=>[1,5,2,3,4,6]=>[1,5,2,3,4,6]=>([(2,5),(3,5),(4,5)],6)
[4,6,3,2,1,5]=>[1,5,2,3,4,6]=>[1,5,2,3,4,6]=>([(2,5),(3,5),(4,5)],6)
[4,6,3,2,5,1]=>[1,2,5,3,4,6]=>[1,2,5,3,4,6]=>([(3,5),(4,5)],6)
[4,6,3,5,1,2]=>[1,2,3,5,4,6]=>[1,2,3,5,4,6]=>([(4,5)],6)
[4,6,3,5,2,1]=>[1,2,3,5,4,6]=>[1,2,3,5,4,6]=>([(4,5)],6)
[4,6,5,1,2,3]=>[1,2,3,4,6,5]=>[1,2,3,4,6,5]=>([(4,5)],6)
[4,6,5,1,3,2]=>[1,3,2,4,6,5]=>[1,3,2,4,6,5]=>([(2,5),(3,4)],6)
[4,6,5,2,1,3]=>[1,3,2,4,6,5]=>[1,3,2,4,6,5]=>([(2,5),(3,4)],6)
[4,6,5,2,3,1]=>[1,2,3,4,6,5]=>[1,2,3,4,6,5]=>([(4,5)],6)
[4,6,5,3,1,2]=>[1,2,3,4,6,5]=>[1,2,3,4,6,5]=>([(4,5)],6)
[4,6,5,3,2,1]=>[1,2,3,4,6,5]=>[1,2,3,4,6,5]=>([(4,5)],6)
[5,1,2,3,4,6]=>[1,2,3,4,6,5]=>[1,2,3,4,6,5]=>([(4,5)],6)
[5,1,2,3,6,4]=>[1,2,3,6,4,5]=>[1,2,3,6,4,5]=>([(3,5),(4,5)],6)
[5,1,2,4,3,6]=>[1,2,4,3,6,5]=>[1,2,4,3,6,5]=>([(2,5),(3,4)],6)
[5,1,2,4,6,3]=>[1,2,4,6,3,5]=>[1,2,6,4,3,5]=>([(2,5),(3,4),(3,5),(4,5)],6)
[5,1,2,6,3,4]=>[1,2,6,3,4,5]=>[1,2,6,3,4,5]=>([(2,5),(3,5),(4,5)],6)
[5,1,2,6,4,3]=>[1,2,6,3,4,5]=>[1,2,6,3,4,5]=>([(2,5),(3,5),(4,5)],6)
[5,1,3,2,4,6]=>[1,3,2,4,6,5]=>[1,3,2,4,6,5]=>([(2,5),(3,4)],6)
[5,1,3,2,6,4]=>[1,3,2,6,4,5]=>[1,3,2,6,4,5]=>([(1,2),(3,5),(4,5)],6)
[5,1,3,4,2,6]=>[1,3,4,2,6,5]=>[1,4,3,2,6,5]=>([(1,2),(3,4),(3,5),(4,5)],6)
[5,1,3,4,6,2]=>[1,3,4,6,2,5]=>[1,6,3,4,2,5]=>([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[5,1,3,6,2,4]=>[1,3,6,2,4,5]=>[1,6,3,2,4,5]=>([(1,5),(2,5),(3,4),(3,5),(4,5)],6)
[5,1,3,6,4,2]=>[1,3,6,2,4,5]=>[1,6,3,2,4,5]=>([(1,5),(2,5),(3,4),(3,5),(4,5)],6)
[5,1,4,2,3,6]=>[1,4,2,3,6,5]=>[1,4,2,3,6,5]=>([(1,2),(3,5),(4,5)],6)
[5,1,4,2,6,3]=>[1,4,2,6,3,5]=>[1,4,6,2,3,5]=>([(1,5),(2,3),(2,4),(3,5),(4,5)],6)
[5,1,4,3,2,6]=>[1,4,2,6,3,5]=>[1,4,6,2,3,5]=>([(1,5),(2,3),(2,4),(3,5),(4,5)],6)
[5,1,4,3,6,2]=>[1,4,2,3,6,5]=>[1,4,2,3,6,5]=>([(1,2),(3,5),(4,5)],6)
[5,1,4,6,2,3]=>[1,4,6,2,3,5]=>[1,6,2,4,3,5]=>([(1,5),(2,5),(3,4),(3,5),(4,5)],6)
[5,1,4,6,3,2]=>[1,4,6,2,3,5]=>[1,6,2,4,3,5]=>([(1,5),(2,5),(3,4),(3,5),(4,5)],6)
[5,1,6,2,3,4]=>[1,6,2,3,4,5]=>[1,6,2,3,4,5]=>([(1,5),(2,5),(3,5),(4,5)],6)
[5,1,6,2,4,3]=>[1,6,2,4,3,5]=>[1,6,4,2,3,5]=>([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[5,1,6,3,2,4]=>[1,6,2,4,3,5]=>[1,6,4,2,3,5]=>([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[5,1,6,3,4,2]=>[1,6,2,3,4,5]=>[1,6,2,3,4,5]=>([(1,5),(2,5),(3,5),(4,5)],6)
[5,1,6,4,2,3]=>[1,6,2,3,4,5]=>[1,6,2,3,4,5]=>([(1,5),(2,5),(3,5),(4,5)],6)
[5,1,6,4,3,2]=>[1,6,2,3,4,5]=>[1,6,2,3,4,5]=>([(1,5),(2,5),(3,5),(4,5)],6)
[5,2,1,3,4,6]=>[1,3,4,6,2,5]=>[1,6,3,4,2,5]=>([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[5,2,1,3,6,4]=>[1,3,6,2,4,5]=>[1,6,3,2,4,5]=>([(1,5),(2,5),(3,4),(3,5),(4,5)],6)
[5,2,1,4,3,6]=>[1,4,2,3,6,5]=>[1,4,2,3,6,5]=>([(1,2),(3,5),(4,5)],6)
[5,2,1,4,6,3]=>[1,4,6,2,3,5]=>[1,6,2,4,3,5]=>([(1,5),(2,5),(3,4),(3,5),(4,5)],6)
[5,2,1,6,3,4]=>[1,6,2,3,4,5]=>[1,6,2,3,4,5]=>([(1,5),(2,5),(3,5),(4,5)],6)
[5,2,1,6,4,3]=>[1,6,2,3,4,5]=>[1,6,2,3,4,5]=>([(1,5),(2,5),(3,5),(4,5)],6)
[5,2,3,1,4,6]=>[1,4,6,2,3,5]=>[1,6,2,4,3,5]=>([(1,5),(2,5),(3,4),(3,5),(4,5)],6)
[5,2,3,1,6,4]=>[1,6,2,3,4,5]=>[1,6,2,3,4,5]=>([(1,5),(2,5),(3,5),(4,5)],6)
[5,2,3,4,1,6]=>[1,6,2,3,4,5]=>[1,6,2,3,4,5]=>([(1,5),(2,5),(3,5),(4,5)],6)
[5,2,3,4,6,1]=>[1,2,3,4,6,5]=>[1,2,3,4,6,5]=>([(4,5)],6)
[5,2,3,6,1,4]=>[1,4,2,3,6,5]=>[1,4,2,3,6,5]=>([(1,2),(3,5),(4,5)],6)
[5,2,3,6,4,1]=>[1,2,3,6,4,5]=>[1,2,3,6,4,5]=>([(3,5),(4,5)],6)
[5,2,4,1,3,6]=>[1,3,6,2,4,5]=>[1,6,3,2,4,5]=>([(1,5),(2,5),(3,4),(3,5),(4,5)],6)
[5,2,4,1,6,3]=>[1,6,2,4,3,5]=>[1,6,4,2,3,5]=>([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[5,2,4,3,1,6]=>[1,6,2,4,3,5]=>[1,6,4,2,3,5]=>([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[5,2,4,3,6,1]=>[1,2,4,3,6,5]=>[1,2,4,3,6,5]=>([(2,5),(3,4)],6)
[5,2,4,6,1,3]=>[1,3,2,4,6,5]=>[1,3,2,4,6,5]=>([(2,5),(3,4)],6)
[5,2,4,6,3,1]=>[1,2,4,6,3,5]=>[1,2,6,4,3,5]=>([(2,5),(3,4),(3,5),(4,5)],6)
[5,2,6,1,3,4]=>[1,3,4,2,6,5]=>[1,4,3,2,6,5]=>([(1,2),(3,4),(3,5),(4,5)],6)
[5,2,6,1,4,3]=>[1,4,2,6,3,5]=>[1,4,6,2,3,5]=>([(1,5),(2,3),(2,4),(3,5),(4,5)],6)
[5,2,6,3,1,4]=>[1,4,2,6,3,5]=>[1,4,6,2,3,5]=>([(1,5),(2,3),(2,4),(3,5),(4,5)],6)
[5,2,6,3,4,1]=>[1,2,6,3,4,5]=>[1,2,6,3,4,5]=>([(2,5),(3,5),(4,5)],6)
[5,2,6,4,1,3]=>[1,3,2,6,4,5]=>[1,3,2,6,4,5]=>([(1,2),(3,5),(4,5)],6)
[5,2,6,4,3,1]=>[1,2,6,3,4,5]=>[1,2,6,3,4,5]=>([(2,5),(3,5),(4,5)],6)
[5,3,1,2,4,6]=>[1,2,4,6,3,5]=>[1,2,6,4,3,5]=>([(2,5),(3,4),(3,5),(4,5)],6)
[5,3,1,2,6,4]=>[1,2,6,3,4,5]=>[1,2,6,3,4,5]=>([(2,5),(3,5),(4,5)],6)
[5,3,1,4,2,6]=>[1,4,2,6,3,5]=>[1,4,6,2,3,5]=>([(1,5),(2,3),(2,4),(3,5),(4,5)],6)
[5,3,1,4,6,2]=>[1,4,6,2,3,5]=>[1,6,2,4,3,5]=>([(1,5),(2,5),(3,4),(3,5),(4,5)],6)
[5,3,1,6,2,4]=>[1,6,2,4,3,5]=>[1,6,4,2,3,5]=>([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[5,3,1,6,4,2]=>[1,6,2,3,4,5]=>[1,6,2,3,4,5]=>([(1,5),(2,5),(3,5),(4,5)],6)
[5,3,2,1,4,6]=>[1,4,6,2,3,5]=>[1,6,2,4,3,5]=>([(1,5),(2,5),(3,4),(3,5),(4,5)],6)
[5,3,2,1,6,4]=>[1,6,2,3,4,5]=>[1,6,2,3,4,5]=>([(1,5),(2,5),(3,5),(4,5)],6)
[5,3,2,4,1,6]=>[1,6,2,4,3,5]=>[1,6,4,2,3,5]=>([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[5,3,2,4,6,1]=>[1,2,4,6,3,5]=>[1,2,6,4,3,5]=>([(2,5),(3,4),(3,5),(4,5)],6)
[5,3,2,6,1,4]=>[1,4,2,6,3,5]=>[1,4,6,2,3,5]=>([(1,5),(2,3),(2,4),(3,5),(4,5)],6)
[5,3,2,6,4,1]=>[1,2,6,3,4,5]=>[1,2,6,3,4,5]=>([(2,5),(3,5),(4,5)],6)
[5,3,4,1,2,6]=>[1,2,6,3,4,5]=>[1,2,6,3,4,5]=>([(2,5),(3,5),(4,5)],6)
[5,3,4,1,6,2]=>[1,6,2,3,4,5]=>[1,6,2,3,4,5]=>([(1,5),(2,5),(3,5),(4,5)],6)
[5,3,4,2,1,6]=>[1,6,2,3,4,5]=>[1,6,2,3,4,5]=>([(1,5),(2,5),(3,5),(4,5)],6)
[5,3,4,2,6,1]=>[1,2,6,3,4,5]=>[1,2,6,3,4,5]=>([(2,5),(3,5),(4,5)],6)
[5,3,4,6,1,2]=>[1,2,3,4,6,5]=>[1,2,3,4,6,5]=>([(4,5)],6)
[5,3,4,6,2,1]=>[1,2,3,4,6,5]=>[1,2,3,4,6,5]=>([(4,5)],6)
[5,3,6,1,2,4]=>[1,2,4,3,6,5]=>[1,2,4,3,6,5]=>([(2,5),(3,4)],6)
[5,3,6,1,4,2]=>[1,4,2,3,6,5]=>[1,4,2,3,6,5]=>([(1,2),(3,5),(4,5)],6)
[5,3,6,2,1,4]=>[1,4,2,3,6,5]=>[1,4,2,3,6,5]=>([(1,2),(3,5),(4,5)],6)
[5,3,6,2,4,1]=>[1,2,4,3,6,5]=>[1,2,4,3,6,5]=>([(2,5),(3,4)],6)
[5,3,6,4,1,2]=>[1,2,3,6,4,5]=>[1,2,3,6,4,5]=>([(3,5),(4,5)],6)
[5,3,6,4,2,1]=>[1,2,3,6,4,5]=>[1,2,3,6,4,5]=>([(3,5),(4,5)],6)
[5,4,1,2,3,6]=>[1,2,3,6,4,5]=>[1,2,3,6,4,5]=>([(3,5),(4,5)],6)
[5,4,1,2,6,3]=>[1,2,6,3,4,5]=>[1,2,6,3,4,5]=>([(2,5),(3,5),(4,5)],6)
[5,4,1,3,2,6]=>[1,3,2,6,4,5]=>[1,3,2,6,4,5]=>([(1,2),(3,5),(4,5)],6)
[5,4,1,3,6,2]=>[1,3,6,2,4,5]=>[1,6,3,2,4,5]=>([(1,5),(2,5),(3,4),(3,5),(4,5)],6)
[5,4,1,6,2,3]=>[1,6,2,3,4,5]=>[1,6,2,3,4,5]=>([(1,5),(2,5),(3,5),(4,5)],6)
[5,4,1,6,3,2]=>[1,6,2,3,4,5]=>[1,6,2,3,4,5]=>([(1,5),(2,5),(3,5),(4,5)],6)
[5,4,2,1,3,6]=>[1,3,6,2,4,5]=>[1,6,3,2,4,5]=>([(1,5),(2,5),(3,4),(3,5),(4,5)],6)
[5,4,2,1,6,3]=>[1,6,2,3,4,5]=>[1,6,2,3,4,5]=>([(1,5),(2,5),(3,5),(4,5)],6)
[5,4,2,3,1,6]=>[1,6,2,3,4,5]=>[1,6,2,3,4,5]=>([(1,5),(2,5),(3,5),(4,5)],6)
[5,4,2,3,6,1]=>[1,2,3,6,4,5]=>[1,2,3,6,4,5]=>([(3,5),(4,5)],6)
[5,4,2,6,1,3]=>[1,3,2,6,4,5]=>[1,3,2,6,4,5]=>([(1,2),(3,5),(4,5)],6)
[5,4,2,6,3,1]=>[1,2,6,3,4,5]=>[1,2,6,3,4,5]=>([(2,5),(3,5),(4,5)],6)
[5,4,3,1,2,6]=>[1,2,6,3,4,5]=>[1,2,6,3,4,5]=>([(2,5),(3,5),(4,5)],6)
[5,4,3,1,6,2]=>[1,6,2,3,4,5]=>[1,6,2,3,4,5]=>([(1,5),(2,5),(3,5),(4,5)],6)
[5,4,3,2,1,6]=>[1,6,2,3,4,5]=>[1,6,2,3,4,5]=>([(1,5),(2,5),(3,5),(4,5)],6)
[5,4,3,2,6,1]=>[1,2,6,3,4,5]=>[1,2,6,3,4,5]=>([(2,5),(3,5),(4,5)],6)
[5,4,3,6,1,2]=>[1,2,3,6,4,5]=>[1,2,3,6,4,5]=>([(3,5),(4,5)],6)
[5,4,3,6,2,1]=>[1,2,3,6,4,5]=>[1,2,3,6,4,5]=>([(3,5),(4,5)],6)
[5,4,6,1,2,3]=>[1,2,3,4,6,5]=>[1,2,3,4,6,5]=>([(4,5)],6)
[5,4,6,1,3,2]=>[1,3,2,4,6,5]=>[1,3,2,4,6,5]=>([(2,5),(3,4)],6)
[5,4,6,2,1,3]=>[1,3,2,4,6,5]=>[1,3,2,4,6,5]=>([(2,5),(3,4)],6)
[5,4,6,2,3,1]=>[1,2,3,4,6,5]=>[1,2,3,4,6,5]=>([(4,5)],6)
[5,4,6,3,1,2]=>[1,2,3,4,6,5]=>[1,2,3,4,6,5]=>([(4,5)],6)
[5,4,6,3,2,1]=>[1,2,3,4,6,5]=>[1,2,3,4,6,5]=>([(4,5)],6)
[5,6,1,2,3,4]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>([],6)
[5,6,1,2,4,3]=>[1,2,4,3,5,6]=>[1,2,4,3,5,6]=>([(4,5)],6)
[5,6,1,3,2,4]=>[1,3,2,4,5,6]=>[1,3,2,4,5,6]=>([(4,5)],6)
[5,6,1,3,4,2]=>[1,3,4,2,5,6]=>[1,4,3,2,5,6]=>([(3,4),(3,5),(4,5)],6)
[5,6,1,4,2,3]=>[1,4,2,3,5,6]=>[1,4,2,3,5,6]=>([(3,5),(4,5)],6)
[5,6,1,4,3,2]=>[1,4,2,3,5,6]=>[1,4,2,3,5,6]=>([(3,5),(4,5)],6)
[5,6,2,1,3,4]=>[1,3,4,2,5,6]=>[1,4,3,2,5,6]=>([(3,4),(3,5),(4,5)],6)
[5,6,2,1,4,3]=>[1,4,2,3,5,6]=>[1,4,2,3,5,6]=>([(3,5),(4,5)],6)
[5,6,2,3,1,4]=>[1,4,2,3,5,6]=>[1,4,2,3,5,6]=>([(3,5),(4,5)],6)
[5,6,2,3,4,1]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>([],6)
[5,6,2,4,1,3]=>[1,3,2,4,5,6]=>[1,3,2,4,5,6]=>([(4,5)],6)
[5,6,2,4,3,1]=>[1,2,4,3,5,6]=>[1,2,4,3,5,6]=>([(4,5)],6)
[5,6,3,1,2,4]=>[1,2,4,3,5,6]=>[1,2,4,3,5,6]=>([(4,5)],6)
[5,6,3,1,4,2]=>[1,4,2,3,5,6]=>[1,4,2,3,5,6]=>([(3,5),(4,5)],6)
[5,6,3,2,1,4]=>[1,4,2,3,5,6]=>[1,4,2,3,5,6]=>([(3,5),(4,5)],6)
[5,6,3,2,4,1]=>[1,2,4,3,5,6]=>[1,2,4,3,5,6]=>([(4,5)],6)
[5,6,3,4,1,2]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>([],6)
[5,6,3,4,2,1]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>([],6)
[5,6,4,1,2,3]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>([],6)
[5,6,4,1,3,2]=>[1,3,2,4,5,6]=>[1,3,2,4,5,6]=>([(4,5)],6)
[5,6,4,2,1,3]=>[1,3,2,4,5,6]=>[1,3,2,4,5,6]=>([(4,5)],6)
[5,6,4,2,3,1]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>([],6)
[5,6,4,3,1,2]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>([],6)
[5,6,4,3,2,1]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>([],6)
[6,1,2,3,4,5]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>([],6)
[6,1,2,3,5,4]=>[1,2,3,5,4,6]=>[1,2,3,5,4,6]=>([(4,5)],6)
[6,1,2,4,3,5]=>[1,2,4,3,5,6]=>[1,2,4,3,5,6]=>([(4,5)],6)
[6,1,2,4,5,3]=>[1,2,4,5,3,6]=>[1,2,5,4,3,6]=>([(3,4),(3,5),(4,5)],6)
[6,1,2,5,3,4]=>[1,2,5,3,4,6]=>[1,2,5,3,4,6]=>([(3,5),(4,5)],6)
[6,1,2,5,4,3]=>[1,2,5,3,4,6]=>[1,2,5,3,4,6]=>([(3,5),(4,5)],6)
[6,1,3,2,4,5]=>[1,3,2,4,5,6]=>[1,3,2,4,5,6]=>([(4,5)],6)
[6,1,3,2,5,4]=>[1,3,2,5,4,6]=>[1,3,2,5,4,6]=>([(2,5),(3,4)],6)
[6,1,3,4,2,5]=>[1,3,4,2,5,6]=>[1,4,3,2,5,6]=>([(3,4),(3,5),(4,5)],6)
[6,1,3,4,5,2]=>[1,3,4,5,2,6]=>[1,5,3,4,2,6]=>([(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[6,1,3,5,2,4]=>[1,3,5,2,4,6]=>[1,5,3,2,4,6]=>([(2,5),(3,4),(3,5),(4,5)],6)
[6,1,3,5,4,2]=>[1,3,5,2,4,6]=>[1,5,3,2,4,6]=>([(2,5),(3,4),(3,5),(4,5)],6)
[6,1,4,2,3,5]=>[1,4,2,3,5,6]=>[1,4,2,3,5,6]=>([(3,5),(4,5)],6)
[6,1,4,2,5,3]=>[1,4,2,5,3,6]=>[1,4,5,2,3,6]=>([(2,4),(2,5),(3,4),(3,5)],6)
[6,1,4,3,2,5]=>[1,4,2,5,3,6]=>[1,4,5,2,3,6]=>([(2,4),(2,5),(3,4),(3,5)],6)
[6,1,4,3,5,2]=>[1,4,2,3,5,6]=>[1,4,2,3,5,6]=>([(3,5),(4,5)],6)
[6,1,4,5,2,3]=>[1,4,5,2,3,6]=>[1,5,2,4,3,6]=>([(2,5),(3,4),(3,5),(4,5)],6)
[6,1,4,5,3,2]=>[1,4,5,2,3,6]=>[1,5,2,4,3,6]=>([(2,5),(3,4),(3,5),(4,5)],6)
[6,1,5,2,3,4]=>[1,5,2,3,4,6]=>[1,5,2,3,4,6]=>([(2,5),(3,5),(4,5)],6)
[6,1,5,2,4,3]=>[1,5,2,4,3,6]=>[1,5,4,2,3,6]=>([(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[6,1,5,3,2,4]=>[1,5,2,4,3,6]=>[1,5,4,2,3,6]=>([(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[6,1,5,3,4,2]=>[1,5,2,3,4,6]=>[1,5,2,3,4,6]=>([(2,5),(3,5),(4,5)],6)
[6,1,5,4,2,3]=>[1,5,2,3,4,6]=>[1,5,2,3,4,6]=>([(2,5),(3,5),(4,5)],6)
[6,1,5,4,3,2]=>[1,5,2,3,4,6]=>[1,5,2,3,4,6]=>([(2,5),(3,5),(4,5)],6)
[6,2,1,3,4,5]=>[1,3,4,5,2,6]=>[1,5,3,4,2,6]=>([(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[6,2,1,3,5,4]=>[1,3,5,2,4,6]=>[1,5,3,2,4,6]=>([(2,5),(3,4),(3,5),(4,5)],6)
[6,2,1,4,3,5]=>[1,4,2,3,5,6]=>[1,4,2,3,5,6]=>([(3,5),(4,5)],6)
[6,2,1,4,5,3]=>[1,4,5,2,3,6]=>[1,5,2,4,3,6]=>([(2,5),(3,4),(3,5),(4,5)],6)
[6,2,1,5,3,4]=>[1,5,2,3,4,6]=>[1,5,2,3,4,6]=>([(2,5),(3,5),(4,5)],6)
[6,2,1,5,4,3]=>[1,5,2,3,4,6]=>[1,5,2,3,4,6]=>([(2,5),(3,5),(4,5)],6)
[6,2,3,1,4,5]=>[1,4,5,2,3,6]=>[1,5,2,4,3,6]=>([(2,5),(3,4),(3,5),(4,5)],6)
[6,2,3,1,5,4]=>[1,5,2,3,4,6]=>[1,5,2,3,4,6]=>([(2,5),(3,5),(4,5)],6)
[6,2,3,4,1,5]=>[1,5,2,3,4,6]=>[1,5,2,3,4,6]=>([(2,5),(3,5),(4,5)],6)
[6,2,3,4,5,1]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>([],6)
[6,2,3,5,1,4]=>[1,4,2,3,5,6]=>[1,4,2,3,5,6]=>([(3,5),(4,5)],6)
[6,2,3,5,4,1]=>[1,2,3,5,4,6]=>[1,2,3,5,4,6]=>([(4,5)],6)
[6,2,4,1,3,5]=>[1,3,5,2,4,6]=>[1,5,3,2,4,6]=>([(2,5),(3,4),(3,5),(4,5)],6)
[6,2,4,1,5,3]=>[1,5,2,4,3,6]=>[1,5,4,2,3,6]=>([(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[6,2,4,3,1,5]=>[1,5,2,4,3,6]=>[1,5,4,2,3,6]=>([(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[6,2,4,3,5,1]=>[1,2,4,3,5,6]=>[1,2,4,3,5,6]=>([(4,5)],6)
[6,2,4,5,1,3]=>[1,3,2,4,5,6]=>[1,3,2,4,5,6]=>([(4,5)],6)
[6,2,4,5,3,1]=>[1,2,4,5,3,6]=>[1,2,5,4,3,6]=>([(3,4),(3,5),(4,5)],6)
[6,2,5,1,3,4]=>[1,3,4,2,5,6]=>[1,4,3,2,5,6]=>([(3,4),(3,5),(4,5)],6)
[6,2,5,1,4,3]=>[1,4,2,5,3,6]=>[1,4,5,2,3,6]=>([(2,4),(2,5),(3,4),(3,5)],6)
[6,2,5,3,1,4]=>[1,4,2,5,3,6]=>[1,4,5,2,3,6]=>([(2,4),(2,5),(3,4),(3,5)],6)
[6,2,5,3,4,1]=>[1,2,5,3,4,6]=>[1,2,5,3,4,6]=>([(3,5),(4,5)],6)
[6,2,5,4,1,3]=>[1,3,2,5,4,6]=>[1,3,2,5,4,6]=>([(2,5),(3,4)],6)
[6,2,5,4,3,1]=>[1,2,5,3,4,6]=>[1,2,5,3,4,6]=>([(3,5),(4,5)],6)
[6,3,1,2,4,5]=>[1,2,4,5,3,6]=>[1,2,5,4,3,6]=>([(3,4),(3,5),(4,5)],6)
[6,3,1,2,5,4]=>[1,2,5,3,4,6]=>[1,2,5,3,4,6]=>([(3,5),(4,5)],6)
[6,3,1,4,2,5]=>[1,4,2,5,3,6]=>[1,4,5,2,3,6]=>([(2,4),(2,5),(3,4),(3,5)],6)
[6,3,1,4,5,2]=>[1,4,5,2,3,6]=>[1,5,2,4,3,6]=>([(2,5),(3,4),(3,5),(4,5)],6)
[6,3,1,5,2,4]=>[1,5,2,4,3,6]=>[1,5,4,2,3,6]=>([(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[6,3,1,5,4,2]=>[1,5,2,3,4,6]=>[1,5,2,3,4,6]=>([(2,5),(3,5),(4,5)],6)
[6,3,2,1,4,5]=>[1,4,5,2,3,6]=>[1,5,2,4,3,6]=>([(2,5),(3,4),(3,5),(4,5)],6)
[6,3,2,1,5,4]=>[1,5,2,3,4,6]=>[1,5,2,3,4,6]=>([(2,5),(3,5),(4,5)],6)
[6,3,2,4,1,5]=>[1,5,2,4,3,6]=>[1,5,4,2,3,6]=>([(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[6,3,2,4,5,1]=>[1,2,4,5,3,6]=>[1,2,5,4,3,6]=>([(3,4),(3,5),(4,5)],6)
[6,3,2,5,1,4]=>[1,4,2,5,3,6]=>[1,4,5,2,3,6]=>([(2,4),(2,5),(3,4),(3,5)],6)
[6,3,2,5,4,1]=>[1,2,5,3,4,6]=>[1,2,5,3,4,6]=>([(3,5),(4,5)],6)
[6,3,4,1,2,5]=>[1,2,5,3,4,6]=>[1,2,5,3,4,6]=>([(3,5),(4,5)],6)
[6,3,4,1,5,2]=>[1,5,2,3,4,6]=>[1,5,2,3,4,6]=>([(2,5),(3,5),(4,5)],6)
[6,3,4,2,1,5]=>[1,5,2,3,4,6]=>[1,5,2,3,4,6]=>([(2,5),(3,5),(4,5)],6)
[6,3,4,2,5,1]=>[1,2,5,3,4,6]=>[1,2,5,3,4,6]=>([(3,5),(4,5)],6)
[6,3,4,5,1,2]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>([],6)
[6,3,4,5,2,1]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>([],6)
[6,3,5,1,2,4]=>[1,2,4,3,5,6]=>[1,2,4,3,5,6]=>([(4,5)],6)
[6,3,5,1,4,2]=>[1,4,2,3,5,6]=>[1,4,2,3,5,6]=>([(3,5),(4,5)],6)
[6,3,5,2,1,4]=>[1,4,2,3,5,6]=>[1,4,2,3,5,6]=>([(3,5),(4,5)],6)
[6,3,5,2,4,1]=>[1,2,4,3,5,6]=>[1,2,4,3,5,6]=>([(4,5)],6)
[6,3,5,4,1,2]=>[1,2,3,5,4,6]=>[1,2,3,5,4,6]=>([(4,5)],6)
[6,3,5,4,2,1]=>[1,2,3,5,4,6]=>[1,2,3,5,4,6]=>([(4,5)],6)
[6,4,1,2,3,5]=>[1,2,3,5,4,6]=>[1,2,3,5,4,6]=>([(4,5)],6)
[6,4,1,2,5,3]=>[1,2,5,3,4,6]=>[1,2,5,3,4,6]=>([(3,5),(4,5)],6)
[6,4,1,3,2,5]=>[1,3,2,5,4,6]=>[1,3,2,5,4,6]=>([(2,5),(3,4)],6)
[6,4,1,3,5,2]=>[1,3,5,2,4,6]=>[1,5,3,2,4,6]=>([(2,5),(3,4),(3,5),(4,5)],6)
[6,4,1,5,2,3]=>[1,5,2,3,4,6]=>[1,5,2,3,4,6]=>([(2,5),(3,5),(4,5)],6)
[6,4,1,5,3,2]=>[1,5,2,3,4,6]=>[1,5,2,3,4,6]=>([(2,5),(3,5),(4,5)],6)
[6,4,2,1,3,5]=>[1,3,5,2,4,6]=>[1,5,3,2,4,6]=>([(2,5),(3,4),(3,5),(4,5)],6)
[6,4,2,1,5,3]=>[1,5,2,3,4,6]=>[1,5,2,3,4,6]=>([(2,5),(3,5),(4,5)],6)
[6,4,2,3,1,5]=>[1,5,2,3,4,6]=>[1,5,2,3,4,6]=>([(2,5),(3,5),(4,5)],6)
[6,4,2,3,5,1]=>[1,2,3,5,4,6]=>[1,2,3,5,4,6]=>([(4,5)],6)
[6,4,2,5,1,3]=>[1,3,2,5,4,6]=>[1,3,2,5,4,6]=>([(2,5),(3,4)],6)
[6,4,2,5,3,1]=>[1,2,5,3,4,6]=>[1,2,5,3,4,6]=>([(3,5),(4,5)],6)
[6,4,3,1,2,5]=>[1,2,5,3,4,6]=>[1,2,5,3,4,6]=>([(3,5),(4,5)],6)
[6,4,3,1,5,2]=>[1,5,2,3,4,6]=>[1,5,2,3,4,6]=>([(2,5),(3,5),(4,5)],6)
[6,4,3,2,1,5]=>[1,5,2,3,4,6]=>[1,5,2,3,4,6]=>([(2,5),(3,5),(4,5)],6)
[6,4,3,2,5,1]=>[1,2,5,3,4,6]=>[1,2,5,3,4,6]=>([(3,5),(4,5)],6)
[6,4,3,5,1,2]=>[1,2,3,5,4,6]=>[1,2,3,5,4,6]=>([(4,5)],6)
[6,4,3,5,2,1]=>[1,2,3,5,4,6]=>[1,2,3,5,4,6]=>([(4,5)],6)
[6,4,5,1,2,3]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>([],6)
[6,4,5,1,3,2]=>[1,3,2,4,5,6]=>[1,3,2,4,5,6]=>([(4,5)],6)
[6,4,5,2,1,3]=>[1,3,2,4,5,6]=>[1,3,2,4,5,6]=>([(4,5)],6)
[6,4,5,2,3,1]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>([],6)
[6,4,5,3,1,2]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>([],6)
[6,4,5,3,2,1]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>([],6)
[6,5,1,2,3,4]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>([],6)
[6,5,1,2,4,3]=>[1,2,4,3,5,6]=>[1,2,4,3,5,6]=>([(4,5)],6)
[6,5,1,3,2,4]=>[1,3,2,4,5,6]=>[1,3,2,4,5,6]=>([(4,5)],6)
[6,5,1,3,4,2]=>[1,3,4,2,5,6]=>[1,4,3,2,5,6]=>([(3,4),(3,5),(4,5)],6)
[6,5,1,4,2,3]=>[1,4,2,3,5,6]=>[1,4,2,3,5,6]=>([(3,5),(4,5)],6)
[6,5,1,4,3,2]=>[1,4,2,3,5,6]=>[1,4,2,3,5,6]=>([(3,5),(4,5)],6)
[6,5,2,1,3,4]=>[1,3,4,2,5,6]=>[1,4,3,2,5,6]=>([(3,4),(3,5),(4,5)],6)
[6,5,2,1,4,3]=>[1,4,2,3,5,6]=>[1,4,2,3,5,6]=>([(3,5),(4,5)],6)
[6,5,2,3,1,4]=>[1,4,2,3,5,6]=>[1,4,2,3,5,6]=>([(3,5),(4,5)],6)
[6,5,2,3,4,1]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>([],6)
[6,5,2,4,1,3]=>[1,3,2,4,5,6]=>[1,3,2,4,5,6]=>([(4,5)],6)
[6,5,2,4,3,1]=>[1,2,4,3,5,6]=>[1,2,4,3,5,6]=>([(4,5)],6)
[6,5,3,1,2,4]=>[1,2,4,3,5,6]=>[1,2,4,3,5,6]=>([(4,5)],6)
[6,5,3,1,4,2]=>[1,4,2,3,5,6]=>[1,4,2,3,5,6]=>([(3,5),(4,5)],6)
[6,5,3,2,1,4]=>[1,4,2,3,5,6]=>[1,4,2,3,5,6]=>([(3,5),(4,5)],6)
[6,5,3,2,4,1]=>[1,2,4,3,5,6]=>[1,2,4,3,5,6]=>([(4,5)],6)
[6,5,3,4,1,2]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>([],6)
[6,5,3,4,2,1]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>([],6)
[6,5,4,1,2,3]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>([],6)
[6,5,4,1,3,2]=>[1,3,2,4,5,6]=>[1,3,2,4,5,6]=>([(4,5)],6)
[6,5,4,2,1,3]=>[1,3,2,4,5,6]=>[1,3,2,4,5,6]=>([(4,5)],6)
[6,5,4,2,3,1]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>([],6)
[6,5,4,3,1,2]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>([],6)
[6,5,4,3,2,1]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>([],6)
[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>([],7)
[1,2,3,4,5,7,6]=>[1,2,3,4,5,7,6]=>[1,2,3,4,5,7,6]=>([(5,6)],7)
[1,2,3,4,6,5,7]=>[1,2,3,4,6,5,7]=>[1,2,3,4,6,5,7]=>([(5,6)],7)
[1,2,3,4,6,7,5]=>[1,2,3,4,6,7,5]=>[1,2,3,4,7,6,5]=>([(4,5),(4,6),(5,6)],7)
[1,2,3,4,7,5,6]=>[1,2,3,4,7,5,6]=>[1,2,3,4,7,5,6]=>([(4,6),(5,6)],7)
[1,2,3,4,7,6,5]=>[1,2,3,4,7,5,6]=>[1,2,3,4,7,5,6]=>([(4,6),(5,6)],7)
[1,2,3,5,4,6,7]=>[1,2,3,5,4,6,7]=>[1,2,3,5,4,6,7]=>([(5,6)],7)
[1,2,3,5,4,7,6]=>[1,2,3,5,4,7,6]=>[1,2,3,5,4,7,6]=>([(3,6),(4,5)],7)
[1,2,3,5,6,4,7]=>[1,2,3,5,6,4,7]=>[1,2,3,6,5,4,7]=>([(4,5),(4,6),(5,6)],7)
[1,2,3,5,6,7,4]=>[1,2,3,5,6,7,4]=>[1,2,3,7,5,6,4]=>([(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,2,3,5,7,4,6]=>[1,2,3,5,7,4,6]=>[1,2,3,7,5,4,6]=>([(3,6),(4,5),(4,6),(5,6)],7)
[1,2,3,5,7,6,4]=>[1,2,3,5,7,4,6]=>[1,2,3,7,5,4,6]=>([(3,6),(4,5),(4,6),(5,6)],7)
[1,2,3,6,4,5,7]=>[1,2,3,6,4,5,7]=>[1,2,3,6,4,5,7]=>([(4,6),(5,6)],7)
[1,2,3,6,4,7,5]=>[1,2,3,6,4,7,5]=>[1,2,3,6,7,4,5]=>([(3,5),(3,6),(4,5),(4,6)],7)
[1,2,3,6,5,4,7]=>[1,2,3,6,4,7,5]=>[1,2,3,6,7,4,5]=>([(3,5),(3,6),(4,5),(4,6)],7)
[1,2,3,6,5,7,4]=>[1,2,3,6,4,5,7]=>[1,2,3,6,4,5,7]=>([(4,6),(5,6)],7)
[1,2,3,6,7,4,5]=>[1,2,3,6,7,4,5]=>[1,2,3,7,4,6,5]=>([(3,6),(4,5),(4,6),(5,6)],7)
[1,2,3,6,7,5,4]=>[1,2,3,6,7,4,5]=>[1,2,3,7,4,6,5]=>([(3,6),(4,5),(4,6),(5,6)],7)
[1,2,3,7,4,5,6]=>[1,2,3,7,4,5,6]=>[1,2,3,7,4,5,6]=>([(3,6),(4,6),(5,6)],7)
[1,2,3,7,4,6,5]=>[1,2,3,7,4,6,5]=>[1,2,3,7,6,4,5]=>([(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,2,3,7,5,4,6]=>[1,2,3,7,4,6,5]=>[1,2,3,7,6,4,5]=>([(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,2,3,7,5,6,4]=>[1,2,3,7,4,5,6]=>[1,2,3,7,4,5,6]=>([(3,6),(4,6),(5,6)],7)
[1,2,3,7,6,4,5]=>[1,2,3,7,4,5,6]=>[1,2,3,7,4,5,6]=>([(3,6),(4,6),(5,6)],7)
[1,2,3,7,6,5,4]=>[1,2,3,7,4,5,6]=>[1,2,3,7,4,5,6]=>([(3,6),(4,6),(5,6)],7)
[1,2,4,3,5,6,7]=>[1,2,4,3,5,6,7]=>[1,2,4,3,5,6,7]=>([(5,6)],7)
[1,2,4,3,5,7,6]=>[1,2,4,3,5,7,6]=>[1,2,4,3,5,7,6]=>([(3,6),(4,5)],7)
[1,2,4,3,6,5,7]=>[1,2,4,3,6,5,7]=>[1,2,4,3,6,5,7]=>([(3,6),(4,5)],7)
[1,2,4,3,6,7,5]=>[1,2,4,3,6,7,5]=>[1,2,4,3,7,6,5]=>([(2,3),(4,5),(4,6),(5,6)],7)
[1,2,4,3,7,5,6]=>[1,2,4,3,7,5,6]=>[1,2,4,3,7,5,6]=>([(2,3),(4,6),(5,6)],7)
[1,2,4,3,7,6,5]=>[1,2,4,3,7,5,6]=>[1,2,4,3,7,5,6]=>([(2,3),(4,6),(5,6)],7)
[1,2,4,5,3,6,7]=>[1,2,4,5,3,6,7]=>[1,2,5,4,3,6,7]=>([(4,5),(4,6),(5,6)],7)
[1,2,4,5,3,7,6]=>[1,2,4,5,3,7,6]=>[1,2,5,4,3,7,6]=>([(2,3),(4,5),(4,6),(5,6)],7)
[1,2,4,5,6,3,7]=>[1,2,4,5,6,3,7]=>[1,2,6,4,5,3,7]=>([(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,2,4,5,6,7,3]=>[1,2,4,5,6,7,3]=>[1,2,7,4,5,6,3]=>([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,2,4,5,7,3,6]=>[1,2,4,5,7,3,6]=>[1,2,7,4,5,3,6]=>([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,2,4,5,7,6,3]=>[1,2,4,5,7,3,6]=>[1,2,7,4,5,3,6]=>([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,2,4,6,3,5,7]=>[1,2,4,6,3,5,7]=>[1,2,6,4,3,5,7]=>([(3,6),(4,5),(4,6),(5,6)],7)
[1,2,4,6,3,7,5]=>[1,2,4,6,3,7,5]=>[1,2,6,4,7,3,5]=>([(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7)
[1,2,4,6,5,3,7]=>[1,2,4,6,3,7,5]=>[1,2,6,4,7,3,5]=>([(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7)
[1,2,4,6,5,7,3]=>[1,2,4,6,3,5,7]=>[1,2,6,4,3,5,7]=>([(3,6),(4,5),(4,6),(5,6)],7)
[1,2,4,6,7,3,5]=>[1,2,4,6,7,3,5]=>[1,2,7,4,3,6,5]=>([(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7)
[1,2,4,6,7,5,3]=>[1,2,4,6,7,3,5]=>[1,2,7,4,3,6,5]=>([(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7)
[1,2,4,7,3,5,6]=>[1,2,4,7,3,5,6]=>[1,2,7,4,3,5,6]=>([(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[1,2,4,7,3,6,5]=>[1,2,4,7,3,6,5]=>[1,2,7,4,6,3,5]=>([(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[1,2,4,7,5,3,6]=>[1,2,4,7,3,6,5]=>[1,2,7,4,6,3,5]=>([(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[1,2,4,7,5,6,3]=>[1,2,4,7,3,5,6]=>[1,2,7,4,3,5,6]=>([(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[1,2,4,7,6,3,5]=>[1,2,4,7,3,5,6]=>[1,2,7,4,3,5,6]=>([(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[1,2,4,7,6,5,3]=>[1,2,4,7,3,5,6]=>[1,2,7,4,3,5,6]=>([(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[1,2,5,3,4,6,7]=>[1,2,5,3,4,6,7]=>[1,2,5,3,4,6,7]=>([(4,6),(5,6)],7)
[1,2,5,3,4,7,6]=>[1,2,5,3,4,7,6]=>[1,2,5,3,4,7,6]=>([(2,3),(4,6),(5,6)],7)
[1,2,5,3,6,4,7]=>[1,2,5,3,6,4,7]=>[1,2,5,6,3,4,7]=>([(3,5),(3,6),(4,5),(4,6)],7)
[1,2,5,3,6,7,4]=>[1,2,5,3,6,7,4]=>[1,2,5,7,3,6,4]=>([(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7)
[1,2,5,3,7,4,6]=>[1,2,5,3,7,4,6]=>[1,2,5,7,3,4,6]=>([(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[1,2,5,3,7,6,4]=>[1,2,5,3,7,4,6]=>[1,2,5,7,3,4,6]=>([(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[1,2,5,4,3,6,7]=>[1,2,5,3,6,7,4]=>[1,2,5,7,3,6,4]=>([(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7)
[1,2,5,4,3,7,6]=>[1,2,5,3,7,4,6]=>[1,2,5,7,3,4,6]=>([(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[1,2,5,4,6,3,7]=>[1,2,5,3,7,4,6]=>[1,2,5,7,3,4,6]=>([(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[1,2,5,4,6,7,3]=>[1,2,5,3,4,6,7]=>[1,2,5,3,4,6,7]=>([(4,6),(5,6)],7)
[1,2,5,4,7,3,6]=>[1,2,5,3,6,4,7]=>[1,2,5,6,3,4,7]=>([(3,5),(3,6),(4,5),(4,6)],7)
[1,2,5,4,7,6,3]=>[1,2,5,3,4,7,6]=>[1,2,5,3,4,7,6]=>([(2,3),(4,6),(5,6)],7)
[1,2,5,6,3,4,7]=>[1,2,5,6,3,4,7]=>[1,2,6,3,5,4,7]=>([(3,6),(4,5),(4,6),(5,6)],7)
[1,2,5,6,3,7,4]=>[1,2,5,6,3,7,4]=>[1,2,6,7,5,3,4]=>([(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[1,2,5,6,4,3,7]=>[1,2,5,6,3,7,4]=>[1,2,6,7,5,3,4]=>([(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[1,2,5,6,4,7,3]=>[1,2,5,6,3,4,7]=>[1,2,6,3,5,4,7]=>([(3,6),(4,5),(4,6),(5,6)],7)
[1,2,5,6,7,3,4]=>[1,2,5,6,7,3,4]=>[1,2,7,3,5,6,4]=>([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,2,5,6,7,4,3]=>[1,2,5,6,7,3,4]=>[1,2,7,3,5,6,4]=>([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,2,5,7,3,4,6]=>[1,2,5,7,3,4,6]=>[1,2,7,3,5,4,6]=>([(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[1,2,5,7,3,6,4]=>[1,2,5,7,3,6,4]=>[1,2,7,6,5,3,4]=>([(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,2,5,7,4,3,6]=>[1,2,5,7,3,6,4]=>[1,2,7,6,5,3,4]=>([(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,2,5,7,4,6,3]=>[1,2,5,7,3,4,6]=>[1,2,7,3,5,4,6]=>([(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[1,2,5,7,6,3,4]=>[1,2,5,7,3,4,6]=>[1,2,7,3,5,4,6]=>([(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[1,2,5,7,6,4,3]=>[1,2,5,7,3,4,6]=>[1,2,7,3,5,4,6]=>([(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[1,2,6,3,4,5,7]=>[1,2,6,3,4,5,7]=>[1,2,6,3,4,5,7]=>([(3,6),(4,6),(5,6)],7)
[1,2,6,3,4,7,5]=>[1,2,6,3,4,7,5]=>[1,2,6,3,7,4,5]=>([(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[1,2,6,3,5,4,7]=>[1,2,6,3,5,4,7]=>[1,2,6,5,3,4,7]=>([(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,2,6,3,5,7,4]=>[1,2,6,3,5,7,4]=>[1,2,6,7,3,5,4]=>([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[1,2,6,3,7,4,5]=>[1,2,6,3,7,4,5]=>[1,2,6,7,4,3,5]=>([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[1,2,6,3,7,5,4]=>[1,2,6,3,7,4,5]=>[1,2,6,7,4,3,5]=>([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[1,2,6,4,3,5,7]=>[1,2,6,3,5,7,4]=>[1,2,6,7,3,5,4]=>([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[1,2,6,4,3,7,5]=>[1,2,6,3,7,4,5]=>[1,2,6,7,4,3,5]=>([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[1,2,6,4,5,3,7]=>[1,2,6,3,7,4,5]=>[1,2,6,7,4,3,5]=>([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[1,2,6,4,5,7,3]=>[1,2,6,3,4,5,7]=>[1,2,6,3,4,5,7]=>([(3,6),(4,6),(5,6)],7)
[1,2,6,4,7,3,5]=>[1,2,6,3,5,4,7]=>[1,2,6,5,3,4,7]=>([(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,2,6,4,7,5,3]=>[1,2,6,3,4,7,5]=>[1,2,6,3,7,4,5]=>([(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[1,2,6,5,3,4,7]=>[1,2,6,3,4,7,5]=>[1,2,6,3,7,4,5]=>([(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[1,2,6,5,3,7,4]=>[1,2,6,3,7,4,5]=>[1,2,6,7,4,3,5]=>([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[1,2,6,5,4,3,7]=>[1,2,6,3,7,4,5]=>[1,2,6,7,4,3,5]=>([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[1,2,6,5,4,7,3]=>[1,2,6,3,4,7,5]=>[1,2,6,3,7,4,5]=>([(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[1,2,6,5,7,3,4]=>[1,2,6,3,4,5,7]=>[1,2,6,3,4,5,7]=>([(3,6),(4,6),(5,6)],7)
[1,2,6,5,7,4,3]=>[1,2,6,3,4,5,7]=>[1,2,6,3,4,5,7]=>([(3,6),(4,6),(5,6)],7)
[1,2,6,7,3,4,5]=>[1,2,6,7,3,4,5]=>[1,2,7,3,4,6,5]=>([(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[1,2,6,7,3,5,4]=>[1,2,6,7,3,5,4]=>[1,2,7,5,3,6,4]=>([(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[1,2,6,7,4,3,5]=>[1,2,6,7,3,5,4]=>[1,2,7,5,3,6,4]=>([(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[1,2,6,7,4,5,3]=>[1,2,6,7,3,4,5]=>[1,2,7,3,4,6,5]=>([(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[1,2,6,7,5,3,4]=>[1,2,6,7,3,4,5]=>[1,2,7,3,4,6,5]=>([(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[1,2,6,7,5,4,3]=>[1,2,6,7,3,4,5]=>[1,2,7,3,4,6,5]=>([(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[1,2,7,3,4,5,6]=>[1,2,7,3,4,5,6]=>[1,2,7,3,4,5,6]=>([(2,6),(3,6),(4,6),(5,6)],7)
[1,2,7,3,4,6,5]=>[1,2,7,3,4,6,5]=>[1,2,7,3,6,4,5]=>([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,2,7,3,5,4,6]=>[1,2,7,3,5,4,6]=>[1,2,7,5,3,4,6]=>([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,2,7,3,5,6,4]=>[1,2,7,3,5,6,4]=>[1,2,7,6,3,5,4]=>([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,2,7,3,6,4,5]=>[1,2,7,3,6,4,5]=>[1,2,7,6,4,3,5]=>([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,2,7,3,6,5,4]=>[1,2,7,3,6,4,5]=>[1,2,7,6,4,3,5]=>([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,2,7,4,3,5,6]=>[1,2,7,3,5,6,4]=>[1,2,7,6,3,5,4]=>([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,2,7,4,3,6,5]=>[1,2,7,3,6,4,5]=>[1,2,7,6,4,3,5]=>([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,2,7,4,5,3,6]=>[1,2,7,3,6,4,5]=>[1,2,7,6,4,3,5]=>([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,2,7,4,5,6,3]=>[1,2,7,3,4,5,6]=>[1,2,7,3,4,5,6]=>([(2,6),(3,6),(4,6),(5,6)],7)
[1,2,7,4,6,3,5]=>[1,2,7,3,5,4,6]=>[1,2,7,5,3,4,6]=>([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,2,7,4,6,5,3]=>[1,2,7,3,4,6,5]=>[1,2,7,3,6,4,5]=>([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,2,7,5,3,4,6]=>[1,2,7,3,4,6,5]=>[1,2,7,3,6,4,5]=>([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,2,7,5,3,6,4]=>[1,2,7,3,6,4,5]=>[1,2,7,6,4,3,5]=>([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,2,7,5,4,3,6]=>[1,2,7,3,6,4,5]=>[1,2,7,6,4,3,5]=>([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,2,7,5,4,6,3]=>[1,2,7,3,4,6,5]=>[1,2,7,3,6,4,5]=>([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,2,7,5,6,3,4]=>[1,2,7,3,4,5,6]=>[1,2,7,3,4,5,6]=>([(2,6),(3,6),(4,6),(5,6)],7)
[1,2,7,5,6,4,3]=>[1,2,7,3,4,5,6]=>[1,2,7,3,4,5,6]=>([(2,6),(3,6),(4,6),(5,6)],7)
[1,2,7,6,3,4,5]=>[1,2,7,3,4,5,6]=>[1,2,7,3,4,5,6]=>([(2,6),(3,6),(4,6),(5,6)],7)
[1,2,7,6,3,5,4]=>[1,2,7,3,5,4,6]=>[1,2,7,5,3,4,6]=>([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,2,7,6,4,3,5]=>[1,2,7,3,5,4,6]=>[1,2,7,5,3,4,6]=>([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,2,7,6,4,5,3]=>[1,2,7,3,4,5,6]=>[1,2,7,3,4,5,6]=>([(2,6),(3,6),(4,6),(5,6)],7)
[1,2,7,6,5,3,4]=>[1,2,7,3,4,5,6]=>[1,2,7,3,4,5,6]=>([(2,6),(3,6),(4,6),(5,6)],7)
[1,2,7,6,5,4,3]=>[1,2,7,3,4,5,6]=>[1,2,7,3,4,5,6]=>([(2,6),(3,6),(4,6),(5,6)],7)
[1,3,2,4,5,6,7]=>[1,3,2,4,5,6,7]=>[1,3,2,4,5,6,7]=>([(5,6)],7)
[1,3,2,4,5,7,6]=>[1,3,2,4,5,7,6]=>[1,3,2,4,5,7,6]=>([(3,6),(4,5)],7)
[1,3,2,4,6,5,7]=>[1,3,2,4,6,5,7]=>[1,3,2,4,6,5,7]=>([(3,6),(4,5)],7)
[1,3,2,4,6,7,5]=>[1,3,2,4,6,7,5]=>[1,3,2,4,7,6,5]=>([(2,3),(4,5),(4,6),(5,6)],7)
[1,3,2,4,7,5,6]=>[1,3,2,4,7,5,6]=>[1,3,2,4,7,5,6]=>([(2,3),(4,6),(5,6)],7)
[1,3,2,4,7,6,5]=>[1,3,2,4,7,5,6]=>[1,3,2,4,7,5,6]=>([(2,3),(4,6),(5,6)],7)
[1,3,2,5,4,6,7]=>[1,3,2,5,4,6,7]=>[1,3,2,5,4,6,7]=>([(3,6),(4,5)],7)
[1,3,2,5,4,7,6]=>[1,3,2,5,4,7,6]=>[1,3,2,5,4,7,6]=>([(1,6),(2,5),(3,4)],7)
[1,3,2,5,6,4,7]=>[1,3,2,5,6,4,7]=>[1,3,2,6,5,4,7]=>([(2,3),(4,5),(4,6),(5,6)],7)
[1,3,2,5,6,7,4]=>[1,3,2,5,6,7,4]=>[1,3,2,7,5,6,4]=>([(1,2),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,3,2,5,7,4,6]=>[1,3,2,5,7,4,6]=>[1,3,2,7,5,4,6]=>([(1,2),(3,6),(4,5),(4,6),(5,6)],7)
[1,3,2,5,7,6,4]=>[1,3,2,5,7,4,6]=>[1,3,2,7,5,4,6]=>([(1,2),(3,6),(4,5),(4,6),(5,6)],7)
[1,3,2,6,4,5,7]=>[1,3,2,6,4,5,7]=>[1,3,2,6,4,5,7]=>([(2,3),(4,6),(5,6)],7)
[1,3,2,6,4,7,5]=>[1,3,2,6,4,7,5]=>[1,3,2,6,7,4,5]=>([(1,2),(3,5),(3,6),(4,5),(4,6)],7)
[1,3,2,6,5,4,7]=>[1,3,2,6,4,7,5]=>[1,3,2,6,7,4,5]=>([(1,2),(3,5),(3,6),(4,5),(4,6)],7)
[1,3,2,6,5,7,4]=>[1,3,2,6,4,5,7]=>[1,3,2,6,4,5,7]=>([(2,3),(4,6),(5,6)],7)
[1,3,2,6,7,4,5]=>[1,3,2,6,7,4,5]=>[1,3,2,7,4,6,5]=>([(1,2),(3,6),(4,5),(4,6),(5,6)],7)
[1,3,2,6,7,5,4]=>[1,3,2,6,7,4,5]=>[1,3,2,7,4,6,5]=>([(1,2),(3,6),(4,5),(4,6),(5,6)],7)
[1,3,2,7,4,5,6]=>[1,3,2,7,4,5,6]=>[1,3,2,7,4,5,6]=>([(1,2),(3,6),(4,6),(5,6)],7)
[1,3,2,7,4,6,5]=>[1,3,2,7,4,6,5]=>[1,3,2,7,6,4,5]=>([(1,2),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,3,2,7,5,4,6]=>[1,3,2,7,4,6,5]=>[1,3,2,7,6,4,5]=>([(1,2),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,3,2,7,5,6,4]=>[1,3,2,7,4,5,6]=>[1,3,2,7,4,5,6]=>([(1,2),(3,6),(4,6),(5,6)],7)
[1,3,2,7,6,4,5]=>[1,3,2,7,4,5,6]=>[1,3,2,7,4,5,6]=>([(1,2),(3,6),(4,6),(5,6)],7)
[1,3,2,7,6,5,4]=>[1,3,2,7,4,5,6]=>[1,3,2,7,4,5,6]=>([(1,2),(3,6),(4,6),(5,6)],7)
[1,3,4,2,5,6,7]=>[1,3,4,2,5,6,7]=>[1,4,3,2,5,6,7]=>([(4,5),(4,6),(5,6)],7)
[1,3,4,2,5,7,6]=>[1,3,4,2,5,7,6]=>[1,4,3,2,5,7,6]=>([(2,3),(4,5),(4,6),(5,6)],7)
[1,3,4,2,6,5,7]=>[1,3,4,2,6,5,7]=>[1,4,3,2,6,5,7]=>([(2,3),(4,5),(4,6),(5,6)],7)
[1,3,4,2,6,7,5]=>[1,3,4,2,6,7,5]=>[1,4,3,2,7,6,5]=>([(1,5),(1,6),(2,3),(2,4),(3,4),(5,6)],7)
[1,3,4,2,7,5,6]=>[1,3,4,2,7,5,6]=>[1,4,3,2,7,5,6]=>([(1,6),(2,6),(3,4),(3,5),(4,5)],7)
[1,3,4,2,7,6,5]=>[1,3,4,2,7,5,6]=>[1,4,3,2,7,5,6]=>([(1,6),(2,6),(3,4),(3,5),(4,5)],7)
[1,3,4,5,2,6,7]=>[1,3,4,5,2,6,7]=>[1,5,3,4,2,6,7]=>([(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,3,4,5,2,7,6]=>[1,3,4,5,2,7,6]=>[1,5,3,4,2,7,6]=>([(1,2),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,3,4,5,6,2,7]=>[1,3,4,5,6,2,7]=>[1,6,3,4,5,2,7]=>([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,3,4,5,6,7,2]=>[1,3,4,5,6,7,2]=>[1,7,3,4,5,6,2]=>([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,3,4,5,7,2,6]=>[1,3,4,5,7,2,6]=>[1,7,3,4,5,2,6]=>([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,3,4,5,7,6,2]=>[1,3,4,5,7,2,6]=>[1,7,3,4,5,2,6]=>([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,3,4,6,2,5,7]=>[1,3,4,6,2,5,7]=>[1,6,3,4,2,5,7]=>([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,3,4,6,2,7,5]=>[1,3,4,6,2,7,5]=>[1,6,3,4,7,2,5]=>([(1,2),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,3,4,6,5,2,7]=>[1,3,4,6,2,7,5]=>[1,6,3,4,7,2,5]=>([(1,2),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,3,4,6,5,7,2]=>[1,3,4,6,2,5,7]=>[1,6,3,4,2,5,7]=>([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,3,4,6,7,2,5]=>[1,3,4,6,7,2,5]=>[1,7,3,4,2,6,5]=>([(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,3,4,6,7,5,2]=>[1,3,4,6,7,2,5]=>[1,7,3,4,2,6,5]=>([(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,3,4,7,2,5,6]=>[1,3,4,7,2,5,6]=>[1,7,3,4,2,5,6]=>([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,3,4,7,2,6,5]=>[1,3,4,7,2,6,5]=>[1,7,3,4,6,2,5]=>([(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[1,3,4,7,5,2,6]=>[1,3,4,7,2,6,5]=>[1,7,3,4,6,2,5]=>([(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[1,3,4,7,5,6,2]=>[1,3,4,7,2,5,6]=>[1,7,3,4,2,5,6]=>([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,3,4,7,6,2,5]=>[1,3,4,7,2,5,6]=>[1,7,3,4,2,5,6]=>([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,3,4,7,6,5,2]=>[1,3,4,7,2,5,6]=>[1,7,3,4,2,5,6]=>([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,3,5,2,4,6,7]=>[1,3,5,2,4,6,7]=>[1,5,3,2,4,6,7]=>([(3,6),(4,5),(4,6),(5,6)],7)
[1,3,5,2,4,7,6]=>[1,3,5,2,4,7,6]=>[1,5,3,2,4,7,6]=>([(1,2),(3,6),(4,5),(4,6),(5,6)],7)
[1,3,5,2,6,4,7]=>[1,3,5,2,6,4,7]=>[1,5,3,6,2,4,7]=>([(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7)
[1,3,5,2,6,7,4]=>[1,3,5,2,6,7,4]=>[1,5,3,7,2,6,4]=>([(1,5),(1,6),(2,3),(2,4),(3,4),(3,6),(4,5),(5,6)],7)
[1,3,5,2,7,4,6]=>[1,3,5,2,7,4,6]=>[1,5,3,7,2,4,6]=>([(1,6),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
[1,3,5,2,7,6,4]=>[1,3,5,2,7,4,6]=>[1,5,3,7,2,4,6]=>([(1,6),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
[1,3,5,4,2,6,7]=>[1,3,5,2,6,7,4]=>[1,5,3,7,2,6,4]=>([(1,5),(1,6),(2,3),(2,4),(3,4),(3,6),(4,5),(5,6)],7)
[1,3,5,4,2,7,6]=>[1,3,5,2,7,4,6]=>[1,5,3,7,2,4,6]=>([(1,6),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
[1,3,5,4,6,2,7]=>[1,3,5,2,7,4,6]=>[1,5,3,7,2,4,6]=>([(1,6),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
[1,3,5,4,6,7,2]=>[1,3,5,2,4,6,7]=>[1,5,3,2,4,6,7]=>([(3,6),(4,5),(4,6),(5,6)],7)
[1,3,5,4,7,2,6]=>[1,3,5,2,6,4,7]=>[1,5,3,6,2,4,7]=>([(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7)
[1,3,5,4,7,6,2]=>[1,3,5,2,4,7,6]=>[1,5,3,2,4,7,6]=>([(1,2),(3,6),(4,5),(4,6),(5,6)],7)
[1,3,5,6,2,4,7]=>[1,3,5,6,2,4,7]=>[1,6,3,2,5,4,7]=>([(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7)
[1,3,5,6,2,7,4]=>[1,3,5,6,2,7,4]=>[1,6,3,7,5,2,4]=>([(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
[1,3,5,6,4,2,7]=>[1,3,5,6,2,7,4]=>[1,6,3,7,5,2,4]=>([(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
[1,3,5,6,4,7,2]=>[1,3,5,6,2,4,7]=>[1,6,3,2,5,4,7]=>([(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7)
[1,3,5,6,7,2,4]=>[1,3,5,6,7,2,4]=>[1,7,3,2,5,6,4]=>([(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,3,5,6,7,4,2]=>[1,3,5,6,7,2,4]=>[1,7,3,2,5,6,4]=>([(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,3,5,7,2,4,6]=>[1,3,5,7,2,4,6]=>[1,7,3,2,5,4,6]=>([(1,6),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7)
[1,3,5,7,2,6,4]=>[1,3,5,7,2,6,4]=>[1,7,3,6,5,2,4]=>([(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,3,5,7,4,2,6]=>[1,3,5,7,2,6,4]=>[1,7,3,6,5,2,4]=>([(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,3,5,7,4,6,2]=>[1,3,5,7,2,4,6]=>[1,7,3,2,5,4,6]=>([(1,6),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7)
[1,3,5,7,6,2,4]=>[1,3,5,7,2,4,6]=>[1,7,3,2,5,4,6]=>([(1,6),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7)
[1,3,5,7,6,4,2]=>[1,3,5,7,2,4,6]=>[1,7,3,2,5,4,6]=>([(1,6),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7)
[1,3,6,2,4,5,7]=>[1,3,6,2,4,5,7]=>[1,6,3,2,4,5,7]=>([(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[1,3,6,2,4,7,5]=>[1,3,6,2,4,7,5]=>[1,6,3,2,7,4,5]=>([(1,4),(1,5),(2,3),(2,6),(3,6),(4,6),(5,6)],7)
[1,3,6,2,5,4,7]=>[1,3,6,2,5,4,7]=>[1,6,3,5,2,4,7]=>([(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[1,3,6,2,5,7,4]=>[1,3,6,2,5,7,4]=>[1,6,3,7,2,5,4]=>([(1,5),(1,6),(2,3),(2,4),(2,5),(3,4),(3,6),(4,6),(5,6)],7)
[1,3,6,2,7,4,5]=>[1,3,6,2,7,4,5]=>[1,6,3,7,4,2,5]=>([(1,5),(1,6),(2,3),(2,5),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[1,3,6,2,7,5,4]=>[1,3,6,2,7,4,5]=>[1,6,3,7,4,2,5]=>([(1,5),(1,6),(2,3),(2,5),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[1,3,6,4,2,5,7]=>[1,3,6,2,5,7,4]=>[1,6,3,7,2,5,4]=>([(1,5),(1,6),(2,3),(2,4),(2,5),(3,4),(3,6),(4,6),(5,6)],7)
[1,3,6,4,2,7,5]=>[1,3,6,2,7,4,5]=>[1,6,3,7,4,2,5]=>([(1,5),(1,6),(2,3),(2,5),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[1,3,6,4,5,2,7]=>[1,3,6,2,7,4,5]=>[1,6,3,7,4,2,5]=>([(1,5),(1,6),(2,3),(2,5),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[1,3,6,4,5,7,2]=>[1,3,6,2,4,5,7]=>[1,6,3,2,4,5,7]=>([(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[1,3,6,4,7,2,5]=>[1,3,6,2,5,4,7]=>[1,6,3,5,2,4,7]=>([(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[1,3,6,4,7,5,2]=>[1,3,6,2,4,7,5]=>[1,6,3,2,7,4,5]=>([(1,4),(1,5),(2,3),(2,6),(3,6),(4,6),(5,6)],7)
[1,3,6,5,2,4,7]=>[1,3,6,2,4,7,5]=>[1,6,3,2,7,4,5]=>([(1,4),(1,5),(2,3),(2,6),(3,6),(4,6),(5,6)],7)
[1,3,6,5,2,7,4]=>[1,3,6,2,7,4,5]=>[1,6,3,7,4,2,5]=>([(1,5),(1,6),(2,3),(2,5),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[1,3,6,5,4,2,7]=>[1,3,6,2,7,4,5]=>[1,6,3,7,4,2,5]=>([(1,5),(1,6),(2,3),(2,5),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[1,3,6,5,4,7,2]=>[1,3,6,2,4,7,5]=>[1,6,3,2,7,4,5]=>([(1,4),(1,5),(2,3),(2,6),(3,6),(4,6),(5,6)],7)
[1,3,6,5,7,2,4]=>[1,3,6,2,4,5,7]=>[1,6,3,2,4,5,7]=>([(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[1,3,6,5,7,4,2]=>[1,3,6,2,4,5,7]=>[1,6,3,2,4,5,7]=>([(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[1,3,6,7,2,4,5]=>[1,3,6,7,2,4,5]=>[1,7,3,2,4,6,5]=>([(1,6),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7)
[1,3,6,7,2,5,4]=>[1,3,6,7,2,5,4]=>[1,7,3,5,2,6,4]=>([(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[1,3,6,7,4,2,5]=>[1,3,6,7,2,5,4]=>[1,7,3,5,2,6,4]=>([(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[1,3,6,7,4,5,2]=>[1,3,6,7,2,4,5]=>[1,7,3,2,4,6,5]=>([(1,6),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7)
[1,3,6,7,5,2,4]=>[1,3,6,7,2,4,5]=>[1,7,3,2,4,6,5]=>([(1,6),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7)
[1,3,6,7,5,4,2]=>[1,3,6,7,2,4,5]=>[1,7,3,2,4,6,5]=>([(1,6),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7)
[1,3,7,2,4,5,6]=>[1,3,7,2,4,5,6]=>[1,7,3,2,4,5,6]=>([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[1,3,7,2,4,6,5]=>[1,3,7,2,4,6,5]=>[1,7,3,2,6,4,5]=>([(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,3,7,2,5,4,6]=>[1,3,7,2,5,4,6]=>[1,7,3,5,2,4,6]=>([(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[1,3,7,2,5,6,4]=>[1,3,7,2,5,6,4]=>[1,7,3,6,2,5,4]=>([(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,3,7,2,6,4,5]=>[1,3,7,2,6,4,5]=>[1,7,3,6,4,2,5]=>([(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,3,7,2,6,5,4]=>[1,3,7,2,6,4,5]=>[1,7,3,6,4,2,5]=>([(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,3,7,4,2,5,6]=>[1,3,7,2,5,6,4]=>[1,7,3,6,2,5,4]=>([(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,3,7,4,2,6,5]=>[1,3,7,2,6,4,5]=>[1,7,3,6,4,2,5]=>([(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,3,7,4,5,2,6]=>[1,3,7,2,6,4,5]=>[1,7,3,6,4,2,5]=>([(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,3,7,4,5,6,2]=>[1,3,7,2,4,5,6]=>[1,7,3,2,4,5,6]=>([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[1,3,7,4,6,2,5]=>[1,3,7,2,5,4,6]=>[1,7,3,5,2,4,6]=>([(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[1,3,7,4,6,5,2]=>[1,3,7,2,4,6,5]=>[1,7,3,2,6,4,5]=>([(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,3,7,5,2,4,6]=>[1,3,7,2,4,6,5]=>[1,7,3,2,6,4,5]=>([(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,3,7,5,2,6,4]=>[1,3,7,2,6,4,5]=>[1,7,3,6,4,2,5]=>([(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,3,7,5,4,2,6]=>[1,3,7,2,6,4,5]=>[1,7,3,6,4,2,5]=>([(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,3,7,5,4,6,2]=>[1,3,7,2,4,6,5]=>[1,7,3,2,6,4,5]=>([(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,3,7,5,6,2,4]=>[1,3,7,2,4,5,6]=>[1,7,3,2,4,5,6]=>([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[1,3,7,5,6,4,2]=>[1,3,7,2,4,5,6]=>[1,7,3,2,4,5,6]=>([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[1,3,7,6,2,4,5]=>[1,3,7,2,4,5,6]=>[1,7,3,2,4,5,6]=>([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[1,3,7,6,2,5,4]=>[1,3,7,2,5,4,6]=>[1,7,3,5,2,4,6]=>([(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[1,3,7,6,4,2,5]=>[1,3,7,2,5,4,6]=>[1,7,3,5,2,4,6]=>([(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[1,3,7,6,4,5,2]=>[1,3,7,2,4,5,6]=>[1,7,3,2,4,5,6]=>([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[1,3,7,6,5,2,4]=>[1,3,7,2,4,5,6]=>[1,7,3,2,4,5,6]=>([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[1,3,7,6,5,4,2]=>[1,3,7,2,4,5,6]=>[1,7,3,2,4,5,6]=>([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[1,4,2,3,5,6,7]=>[1,4,2,3,5,6,7]=>[1,4,2,3,5,6,7]=>([(4,6),(5,6)],7)
[1,4,2,3,5,7,6]=>[1,4,2,3,5,7,6]=>[1,4,2,3,5,7,6]=>([(2,3),(4,6),(5,6)],7)
[1,4,2,3,6,5,7]=>[1,4,2,3,6,5,7]=>[1,4,2,3,6,5,7]=>([(2,3),(4,6),(5,6)],7)
[1,4,2,3,6,7,5]=>[1,4,2,3,6,7,5]=>[1,4,2,3,7,6,5]=>([(1,6),(2,6),(3,4),(3,5),(4,5)],7)
[1,4,2,3,7,5,6]=>[1,4,2,3,7,5,6]=>[1,4,2,3,7,5,6]=>([(1,6),(2,6),(3,5),(4,5)],7)
[1,4,2,3,7,6,5]=>[1,4,2,3,7,5,6]=>[1,4,2,3,7,5,6]=>([(1,6),(2,6),(3,5),(4,5)],7)
[1,4,2,5,3,6,7]=>[1,4,2,5,3,6,7]=>[1,4,5,2,3,6,7]=>([(3,5),(3,6),(4,5),(4,6)],7)
[1,4,2,5,3,7,6]=>[1,4,2,5,3,7,6]=>[1,4,5,2,3,7,6]=>([(1,2),(3,5),(3,6),(4,5),(4,6)],7)
[1,4,2,5,6,3,7]=>[1,4,2,5,6,3,7]=>[1,4,6,2,5,3,7]=>([(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7)
[1,4,2,5,6,7,3]=>[1,4,2,5,6,7,3]=>[1,4,7,2,5,6,3]=>([(1,2),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,4,2,5,7,3,6]=>[1,4,2,5,7,3,6]=>[1,4,7,2,5,3,6]=>([(1,6),(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7)
[1,4,2,5,7,6,3]=>[1,4,2,5,7,3,6]=>[1,4,7,2,5,3,6]=>([(1,6),(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7)
[1,4,2,6,3,5,7]=>[1,4,2,6,3,5,7]=>[1,4,6,2,3,5,7]=>([(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[1,4,2,6,3,7,5]=>[1,4,2,6,3,7,5]=>[1,4,6,2,7,3,5]=>([(1,4),(1,6),(2,3),(2,6),(3,5),(4,5),(5,6)],7)
[1,4,2,6,5,3,7]=>[1,4,2,6,3,7,5]=>[1,4,6,2,7,3,5]=>([(1,4),(1,6),(2,3),(2,6),(3,5),(4,5),(5,6)],7)
[1,4,2,6,5,7,3]=>[1,4,2,6,3,5,7]=>[1,4,6,2,3,5,7]=>([(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[1,4,2,6,7,3,5]=>[1,4,2,6,7,3,5]=>[1,4,7,2,3,6,5]=>([(1,4),(1,5),(2,3),(2,6),(3,6),(4,6),(5,6)],7)
[1,4,2,6,7,5,3]=>[1,4,2,6,7,3,5]=>[1,4,7,2,3,6,5]=>([(1,4),(1,5),(2,3),(2,6),(3,6),(4,6),(5,6)],7)
[1,4,2,7,3,5,6]=>[1,4,2,7,3,5,6]=>[1,4,7,2,3,5,6]=>([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[1,4,2,7,3,6,5]=>[1,4,2,7,3,6,5]=>[1,4,7,2,6,3,5]=>([(1,2),(1,6),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,4,2,7,5,3,6]=>[1,4,2,7,3,6,5]=>[1,4,7,2,6,3,5]=>([(1,2),(1,6),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,4,2,7,5,6,3]=>[1,4,2,7,3,5,6]=>[1,4,7,2,3,5,6]=>([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[1,4,2,7,6,3,5]=>[1,4,2,7,3,5,6]=>[1,4,7,2,3,5,6]=>([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[1,4,2,7,6,5,3]=>[1,4,2,7,3,5,6]=>[1,4,7,2,3,5,6]=>([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[1,4,3,2,5,6,7]=>[1,4,2,5,6,7,3]=>[1,4,7,2,5,6,3]=>([(1,2),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,4,3,2,5,7,6]=>[1,4,2,5,7,3,6]=>[1,4,7,2,5,3,6]=>([(1,6),(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7)
[1,4,3,2,6,5,7]=>[1,4,2,6,3,5,7]=>[1,4,6,2,3,5,7]=>([(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[1,4,3,2,6,7,5]=>[1,4,2,6,7,3,5]=>[1,4,7,2,3,6,5]=>([(1,4),(1,5),(2,3),(2,6),(3,6),(4,6),(5,6)],7)
[1,4,3,2,7,5,6]=>[1,4,2,7,3,5,6]=>[1,4,7,2,3,5,6]=>([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[1,4,3,2,7,6,5]=>[1,4,2,7,3,5,6]=>[1,4,7,2,3,5,6]=>([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[1,4,3,5,2,6,7]=>[1,4,2,6,7,3,5]=>[1,4,7,2,3,6,5]=>([(1,4),(1,5),(2,3),(2,6),(3,6),(4,6),(5,6)],7)
[1,4,3,5,2,7,6]=>[1,4,2,7,3,5,6]=>[1,4,7,2,3,5,6]=>([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[1,4,3,5,6,2,7]=>[1,4,2,7,3,5,6]=>[1,4,7,2,3,5,6]=>([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[1,4,3,5,6,7,2]=>[1,4,2,3,5,6,7]=>[1,4,2,3,5,6,7]=>([(4,6),(5,6)],7)
[1,4,3,5,7,2,6]=>[1,4,2,6,3,5,7]=>[1,4,6,2,3,5,7]=>([(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[1,4,3,5,7,6,2]=>[1,4,2,3,5,7,6]=>[1,4,2,3,5,7,6]=>([(2,3),(4,6),(5,6)],7)
[1,4,3,6,2,5,7]=>[1,4,2,5,7,3,6]=>[1,4,7,2,5,3,6]=>([(1,6),(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7)
[1,4,3,6,2,7,5]=>[1,4,2,7,3,6,5]=>[1,4,7,2,6,3,5]=>([(1,2),(1,6),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,4,3,6,5,2,7]=>[1,4,2,7,3,6,5]=>[1,4,7,2,6,3,5]=>([(1,2),(1,6),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,4,3,6,5,7,2]=>[1,4,2,3,6,5,7]=>[1,4,2,3,6,5,7]=>([(2,3),(4,6),(5,6)],7)
[1,4,3,6,7,2,5]=>[1,4,2,5,3,6,7]=>[1,4,5,2,3,6,7]=>([(3,5),(3,6),(4,5),(4,6)],7)
[1,4,3,6,7,5,2]=>[1,4,2,3,6,7,5]=>[1,4,2,3,7,6,5]=>([(1,6),(2,6),(3,4),(3,5),(4,5)],7)
[1,4,3,7,2,5,6]=>[1,4,2,5,6,3,7]=>[1,4,6,2,5,3,7]=>([(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7)
[1,4,3,7,2,6,5]=>[1,4,2,6,3,7,5]=>[1,4,6,2,7,3,5]=>([(1,4),(1,6),(2,3),(2,6),(3,5),(4,5),(5,6)],7)
[1,4,3,7,5,2,6]=>[1,4,2,6,3,7,5]=>[1,4,6,2,7,3,5]=>([(1,4),(1,6),(2,3),(2,6),(3,5),(4,5),(5,6)],7)
[1,4,3,7,5,6,2]=>[1,4,2,3,7,5,6]=>[1,4,2,3,7,5,6]=>([(1,6),(2,6),(3,5),(4,5)],7)
[1,4,3,7,6,2,5]=>[1,4,2,5,3,7,6]=>[1,4,5,2,3,7,6]=>([(1,2),(3,5),(3,6),(4,5),(4,6)],7)
[1,4,3,7,6,5,2]=>[1,4,2,3,7,5,6]=>[1,4,2,3,7,5,6]=>([(1,6),(2,6),(3,5),(4,5)],7)
[1,4,5,2,3,6,7]=>[1,4,5,2,3,6,7]=>[1,5,2,4,3,6,7]=>([(3,6),(4,5),(4,6),(5,6)],7)
[1,4,5,2,3,7,6]=>[1,4,5,2,3,7,6]=>[1,5,2,4,3,7,6]=>([(1,2),(3,6),(4,5),(4,6),(5,6)],7)
[1,4,5,2,6,3,7]=>[1,4,5,2,6,3,7]=>[1,5,6,4,2,3,7]=>([(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[1,4,5,2,6,7,3]=>[1,4,5,2,6,7,3]=>[1,5,7,4,2,6,3]=>([(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
[1,4,5,2,7,3,6]=>[1,4,5,2,7,3,6]=>[1,5,7,4,2,3,6]=>([(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,4,5,2,7,6,3]=>[1,4,5,2,7,3,6]=>[1,5,7,4,2,3,6]=>([(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,4,5,3,2,6,7]=>[1,4,5,2,6,7,3]=>[1,5,7,4,2,6,3]=>([(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
[1,4,5,3,2,7,6]=>[1,4,5,2,7,3,6]=>[1,5,7,4,2,3,6]=>([(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,4,5,3,6,2,7]=>[1,4,5,2,7,3,6]=>[1,5,7,4,2,3,6]=>([(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,4,5,3,6,7,2]=>[1,4,5,2,3,6,7]=>[1,5,2,4,3,6,7]=>([(3,6),(4,5),(4,6),(5,6)],7)
[1,4,5,3,7,2,6]=>[1,4,5,2,6,3,7]=>[1,5,6,4,2,3,7]=>([(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[1,4,5,3,7,6,2]=>[1,4,5,2,3,7,6]=>[1,5,2,4,3,7,6]=>([(1,2),(3,6),(4,5),(4,6),(5,6)],7)
[1,4,5,6,2,3,7]=>[1,4,5,6,2,3,7]=>[1,6,2,4,5,3,7]=>([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,4,5,6,2,7,3]=>[1,4,5,6,2,7,3]=>[1,6,7,4,5,2,3]=>([(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[1,4,5,6,3,2,7]=>[1,4,5,6,2,7,3]=>[1,6,7,4,5,2,3]=>([(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[1,4,5,6,3,7,2]=>[1,4,5,6,2,3,7]=>[1,6,2,4,5,3,7]=>([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,4,5,6,7,2,3]=>[1,4,5,6,7,2,3]=>[1,7,2,4,5,6,3]=>([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,4,5,6,7,3,2]=>[1,4,5,6,7,2,3]=>[1,7,2,4,5,6,3]=>([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,4,5,7,2,3,6]=>[1,4,5,7,2,3,6]=>[1,7,2,4,5,3,6]=>([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,4,5,7,2,6,3]=>[1,4,5,7,2,6,3]=>[1,7,6,4,5,2,3]=>([(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,4,5,7,3,2,6]=>[1,4,5,7,2,6,3]=>[1,7,6,4,5,2,3]=>([(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,4,5,7,3,6,2]=>[1,4,5,7,2,3,6]=>[1,7,2,4,5,3,6]=>([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,4,5,7,6,2,3]=>[1,4,5,7,2,3,6]=>[1,7,2,4,5,3,6]=>([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,4,5,7,6,3,2]=>[1,4,5,7,2,3,6]=>[1,7,2,4,5,3,6]=>([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,4,6,2,3,5,7]=>[1,4,6,2,3,5,7]=>[1,6,2,4,3,5,7]=>([(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[1,4,6,2,3,7,5]=>[1,4,6,2,3,7,5]=>[1,6,2,4,7,3,5]=>([(1,6),(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7)
[1,4,6,2,5,3,7]=>[1,4,6,2,5,3,7]=>[1,6,5,4,2,3,7]=>([(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,4,6,2,5,7,3]=>[1,4,6,2,5,7,3]=>[1,6,7,4,2,5,3]=>([(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[1,4,6,2,7,3,5]=>[1,4,6,2,7,3,5]=>[1,6,7,4,3,2,5]=>([(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[1,4,6,2,7,5,3]=>[1,4,6,2,7,3,5]=>[1,6,7,4,3,2,5]=>([(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[1,4,6,3,2,5,7]=>[1,4,6,2,5,7,3]=>[1,6,7,4,2,5,3]=>([(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[1,4,6,3,2,7,5]=>[1,4,6,2,7,3,5]=>[1,6,7,4,3,2,5]=>([(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[1,4,6,3,5,2,7]=>[1,4,6,2,7,3,5]=>[1,6,7,4,3,2,5]=>([(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[1,4,6,3,5,7,2]=>[1,4,6,2,3,5,7]=>[1,6,2,4,3,5,7]=>([(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[1,4,6,3,7,2,5]=>[1,4,6,2,5,3,7]=>[1,6,5,4,2,3,7]=>([(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,4,6,3,7,5,2]=>[1,4,6,2,3,7,5]=>[1,6,2,4,7,3,5]=>([(1,6),(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7)
[1,4,6,5,2,3,7]=>[1,4,6,2,3,7,5]=>[1,6,2,4,7,3,5]=>([(1,6),(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7)
[1,4,6,5,2,7,3]=>[1,4,6,2,7,3,5]=>[1,6,7,4,3,2,5]=>([(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[1,4,6,5,3,2,7]=>[1,4,6,2,7,3,5]=>[1,6,7,4,3,2,5]=>([(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[1,4,6,5,3,7,2]=>[1,4,6,2,3,7,5]=>[1,6,2,4,7,3,5]=>([(1,6),(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7)
[1,4,6,5,7,2,3]=>[1,4,6,2,3,5,7]=>[1,6,2,4,3,5,7]=>([(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[1,4,6,5,7,3,2]=>[1,4,6,2,3,5,7]=>[1,6,2,4,3,5,7]=>([(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[1,4,6,7,2,3,5]=>[1,4,6,7,2,3,5]=>[1,7,2,4,3,6,5]=>([(1,6),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7)
[1,4,6,7,2,5,3]=>[1,4,6,7,2,5,3]=>[1,7,5,4,2,6,3]=>([(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,4,6,7,3,2,5]=>[1,4,6,7,2,5,3]=>[1,7,5,4,2,6,3]=>([(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,4,6,7,3,5,2]=>[1,4,6,7,2,3,5]=>[1,7,2,4,3,6,5]=>([(1,6),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7)
[1,4,6,7,5,2,3]=>[1,4,6,7,2,3,5]=>[1,7,2,4,3,6,5]=>([(1,6),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7)
[1,4,6,7,5,3,2]=>[1,4,6,7,2,3,5]=>[1,7,2,4,3,6,5]=>([(1,6),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7)
[1,4,7,2,3,5,6]=>[1,4,7,2,3,5,6]=>[1,7,2,4,3,5,6]=>([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[1,4,7,2,3,6,5]=>[1,4,7,2,3,6,5]=>[1,7,2,4,6,3,5]=>([(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[1,4,7,2,5,3,6]=>[1,4,7,2,5,3,6]=>[1,7,5,4,2,3,6]=>([(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,4,7,2,5,6,3]=>[1,4,7,2,5,6,3]=>[1,7,6,4,2,5,3]=>([(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,4,7,2,6,3,5]=>[1,4,7,2,6,3,5]=>[1,7,6,4,3,2,5]=>([(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,4,7,2,6,5,3]=>[1,4,7,2,6,3,5]=>[1,7,6,4,3,2,5]=>([(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,4,7,3,2,5,6]=>[1,4,7,2,5,6,3]=>[1,7,6,4,2,5,3]=>([(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,4,7,3,2,6,5]=>[1,4,7,2,6,3,5]=>[1,7,6,4,3,2,5]=>([(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,4,7,3,5,2,6]=>[1,4,7,2,6,3,5]=>[1,7,6,4,3,2,5]=>([(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,4,7,3,5,6,2]=>[1,4,7,2,3,5,6]=>[1,7,2,4,3,5,6]=>([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[1,4,7,3,6,2,5]=>[1,4,7,2,5,3,6]=>[1,7,5,4,2,3,6]=>([(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,4,7,3,6,5,2]=>[1,4,7,2,3,6,5]=>[1,7,2,4,6,3,5]=>([(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[1,4,7,5,2,3,6]=>[1,4,7,2,3,6,5]=>[1,7,2,4,6,3,5]=>([(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[1,4,7,5,2,6,3]=>[1,4,7,2,6,3,5]=>[1,7,6,4,3,2,5]=>([(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,4,7,5,3,2,6]=>[1,4,7,2,6,3,5]=>[1,7,6,4,3,2,5]=>([(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,4,7,5,3,6,2]=>[1,4,7,2,3,6,5]=>[1,7,2,4,6,3,5]=>([(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[1,4,7,5,6,2,3]=>[1,4,7,2,3,5,6]=>[1,7,2,4,3,5,6]=>([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[1,4,7,5,6,3,2]=>[1,4,7,2,3,5,6]=>[1,7,2,4,3,5,6]=>([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[1,4,7,6,2,3,5]=>[1,4,7,2,3,5,6]=>[1,7,2,4,3,5,6]=>([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[1,4,7,6,2,5,3]=>[1,4,7,2,5,3,6]=>[1,7,5,4,2,3,6]=>([(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,4,7,6,3,2,5]=>[1,4,7,2,5,3,6]=>[1,7,5,4,2,3,6]=>([(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,4,7,6,3,5,2]=>[1,4,7,2,3,5,6]=>[1,7,2,4,3,5,6]=>([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[1,4,7,6,5,2,3]=>[1,4,7,2,3,5,6]=>[1,7,2,4,3,5,6]=>([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[1,4,7,6,5,3,2]=>[1,4,7,2,3,5,6]=>[1,7,2,4,3,5,6]=>([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[1,5,2,3,4,6,7]=>[1,5,2,3,4,6,7]=>[1,5,2,3,4,6,7]=>([(3,6),(4,6),(5,6)],7)
[1,5,2,3,4,7,6]=>[1,5,2,3,4,7,6]=>[1,5,2,3,4,7,6]=>([(1,2),(3,6),(4,6),(5,6)],7)
[1,5,2,3,6,4,7]=>[1,5,2,3,6,4,7]=>[1,5,2,6,3,4,7]=>([(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[1,5,2,3,6,7,4]=>[1,5,2,3,6,7,4]=>[1,5,2,7,3,6,4]=>([(1,6),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
[1,5,2,3,7,4,6]=>[1,5,2,3,7,4,6]=>[1,5,2,7,3,4,6]=>([(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
[1,5,2,3,7,6,4]=>[1,5,2,3,7,4,6]=>[1,5,2,7,3,4,6]=>([(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
[1,5,2,4,3,6,7]=>[1,5,2,4,3,6,7]=>[1,5,4,2,3,6,7]=>([(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,5,2,4,3,7,6]=>[1,5,2,4,3,7,6]=>[1,5,4,2,3,7,6]=>([(1,2),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,5,2,4,6,3,7]=>[1,5,2,4,6,3,7]=>[1,5,6,2,4,3,7]=>([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[1,5,2,4,6,7,3]=>[1,5,2,4,6,7,3]=>[1,5,7,2,4,6,3]=>([(1,5),(1,6),(2,3),(2,5),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[1,5,2,4,7,3,6]=>[1,5,2,4,7,3,6]=>[1,5,7,2,4,3,6]=>([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[1,5,2,4,7,6,3]=>[1,5,2,4,7,3,6]=>[1,5,7,2,4,3,6]=>([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[1,5,2,6,3,4,7]=>[1,5,2,6,3,4,7]=>[1,5,6,3,2,4,7]=>([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[1,5,2,6,3,7,4]=>[1,5,2,6,3,7,4]=>[1,5,6,7,2,3,4]=>([(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)
[1,5,2,6,4,3,7]=>[1,5,2,6,3,7,4]=>[1,5,6,7,2,3,4]=>([(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)
[1,5,2,6,4,7,3]=>[1,5,2,6,3,4,7]=>[1,5,6,3,2,4,7]=>([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[1,5,2,6,7,3,4]=>[1,5,2,6,7,3,4]=>[1,5,7,3,2,6,4]=>([(1,5),(1,6),(2,3),(2,4),(2,5),(3,4),(3,6),(4,6),(5,6)],7)
[1,5,2,6,7,4,3]=>[1,5,2,6,7,3,4]=>[1,5,7,3,2,6,4]=>([(1,5),(1,6),(2,3),(2,4),(2,5),(3,4),(3,6),(4,6),(5,6)],7)
[1,5,2,7,3,4,6]=>[1,5,2,7,3,4,6]=>[1,5,7,3,2,4,6]=>([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[1,5,2,7,3,6,4]=>[1,5,2,7,3,6,4]=>[1,5,7,6,2,3,4]=>([(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,5,2,7,4,3,6]=>[1,5,2,7,3,6,4]=>[1,5,7,6,2,3,4]=>([(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,5,2,7,4,6,3]=>[1,5,2,7,3,4,6]=>[1,5,7,3,2,4,6]=>([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[1,5,2,7,6,3,4]=>[1,5,2,7,3,4,6]=>[1,5,7,3,2,4,6]=>([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[1,5,2,7,6,4,3]=>[1,5,2,7,3,4,6]=>[1,5,7,3,2,4,6]=>([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[1,5,3,2,4,6,7]=>[1,5,2,4,6,7,3]=>[1,5,7,2,4,6,3]=>([(1,5),(1,6),(2,3),(2,5),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[1,5,3,2,4,7,6]=>[1,5,2,4,7,3,6]=>[1,5,7,2,4,3,6]=>([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[1,5,3,2,6,4,7]=>[1,5,2,6,3,4,7]=>[1,5,6,3,2,4,7]=>([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[1,5,3,2,6,7,4]=>[1,5,2,6,7,3,4]=>[1,5,7,3,2,6,4]=>([(1,5),(1,6),(2,3),(2,4),(2,5),(3,4),(3,6),(4,6),(5,6)],7)
[1,5,3,2,7,4,6]=>[1,5,2,7,3,4,6]=>[1,5,7,3,2,4,6]=>([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[1,5,3,2,7,6,4]=>[1,5,2,7,3,4,6]=>[1,5,7,3,2,4,6]=>([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[1,5,3,4,2,6,7]=>[1,5,2,6,7,3,4]=>[1,5,7,3,2,6,4]=>([(1,5),(1,6),(2,3),(2,4),(2,5),(3,4),(3,6),(4,6),(5,6)],7)
[1,5,3,4,2,7,6]=>[1,5,2,7,3,4,6]=>[1,5,7,3,2,4,6]=>([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[1,5,3,4,6,2,7]=>[1,5,2,7,3,4,6]=>[1,5,7,3,2,4,6]=>([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[1,5,3,4,6,7,2]=>[1,5,2,3,4,6,7]=>[1,5,2,3,4,6,7]=>([(3,6),(4,6),(5,6)],7)
[1,5,3,4,7,2,6]=>[1,5,2,6,3,4,7]=>[1,5,6,3,2,4,7]=>([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[1,5,3,4,7,6,2]=>[1,5,2,3,4,7,6]=>[1,5,2,3,4,7,6]=>([(1,2),(3,6),(4,6),(5,6)],7)
[1,5,3,6,2,4,7]=>[1,5,2,4,7,3,6]=>[1,5,7,2,4,3,6]=>([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[1,5,3,6,2,7,4]=>[1,5,2,7,3,6,4]=>[1,5,7,6,2,3,4]=>([(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,5,3,6,4,2,7]=>[1,5,2,7,3,6,4]=>[1,5,7,6,2,3,4]=>([(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,5,3,6,4,7,2]=>[1,5,2,3,6,4,7]=>[1,5,2,6,3,4,7]=>([(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[1,5,3,6,7,2,4]=>[1,5,2,4,3,6,7]=>[1,5,4,2,3,6,7]=>([(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,5,3,6,7,4,2]=>[1,5,2,3,6,7,4]=>[1,5,2,7,3,6,4]=>([(1,6),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
[1,5,3,7,2,4,6]=>[1,5,2,4,6,3,7]=>[1,5,6,2,4,3,7]=>([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[1,5,3,7,2,6,4]=>[1,5,2,6,3,7,4]=>[1,5,6,7,2,3,4]=>([(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)
[1,5,3,7,4,2,6]=>[1,5,2,6,3,7,4]=>[1,5,6,7,2,3,4]=>([(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)
[1,5,3,7,4,6,2]=>[1,5,2,3,7,4,6]=>[1,5,2,7,3,4,6]=>([(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
[1,5,3,7,6,2,4]=>[1,5,2,4,3,7,6]=>[1,5,4,2,3,7,6]=>([(1,2),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,5,3,7,6,4,2]=>[1,5,2,3,7,4,6]=>[1,5,2,7,3,4,6]=>([(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
[1,5,4,2,3,6,7]=>[1,5,2,3,6,7,4]=>[1,5,2,7,3,6,4]=>([(1,6),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
[1,5,4,2,3,7,6]=>[1,5,2,3,7,4,6]=>[1,5,2,7,3,4,6]=>([(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
[1,5,4,2,6,3,7]=>[1,5,2,6,3,7,4]=>[1,5,6,7,2,3,4]=>([(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)
[1,5,4,2,6,7,3]=>[1,5,2,6,7,3,4]=>[1,5,7,3,2,6,4]=>([(1,5),(1,6),(2,3),(2,4),(2,5),(3,4),(3,6),(4,6),(5,6)],7)
[1,5,4,2,7,3,6]=>[1,5,2,7,3,6,4]=>[1,5,7,6,2,3,4]=>([(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,5,4,2,7,6,3]=>[1,5,2,7,3,4,6]=>[1,5,7,3,2,4,6]=>([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[1,5,4,3,2,6,7]=>[1,5,2,6,7,3,4]=>[1,5,7,3,2,6,4]=>([(1,5),(1,6),(2,3),(2,4),(2,5),(3,4),(3,6),(4,6),(5,6)],7)
[1,5,4,3,2,7,6]=>[1,5,2,7,3,4,6]=>[1,5,7,3,2,4,6]=>([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[1,5,4,3,6,2,7]=>[1,5,2,7,3,6,4]=>[1,5,7,6,2,3,4]=>([(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,5,4,3,6,7,2]=>[1,5,2,3,6,7,4]=>[1,5,2,7,3,6,4]=>([(1,6),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
[1,5,4,3,7,2,6]=>[1,5,2,6,3,7,4]=>[1,5,6,7,2,3,4]=>([(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)
[1,5,4,3,7,6,2]=>[1,5,2,3,7,4,6]=>[1,5,2,7,3,4,6]=>([(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
[1,5,4,6,2,3,7]=>[1,5,2,3,7,4,6]=>[1,5,2,7,3,4,6]=>([(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
[1,5,4,6,2,7,3]=>[1,5,2,7,3,4,6]=>[1,5,7,3,2,4,6]=>([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[1,5,4,6,3,2,7]=>[1,5,2,7,3,4,6]=>[1,5,7,3,2,4,6]=>([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[1,5,4,6,3,7,2]=>[1,5,2,3,7,4,6]=>[1,5,2,7,3,4,6]=>([(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
[1,5,4,6,7,2,3]=>[1,5,2,3,4,6,7]=>[1,5,2,3,4,6,7]=>([(3,6),(4,6),(5,6)],7)
[1,5,4,6,7,3,2]=>[1,5,2,3,4,6,7]=>[1,5,2,3,4,6,7]=>([(3,6),(4,6),(5,6)],7)
[1,5,4,7,2,3,6]=>[1,5,2,3,6,4,7]=>[1,5,2,6,3,4,7]=>([(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[1,5,4,7,2,6,3]=>[1,5,2,6,3,4,7]=>[1,5,6,3,2,4,7]=>([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[1,5,4,7,3,2,6]=>[1,5,2,6,3,4,7]=>[1,5,6,3,2,4,7]=>([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[1,5,4,7,3,6,2]=>[1,5,2,3,6,4,7]=>[1,5,2,6,3,4,7]=>([(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[1,5,4,7,6,2,3]=>[1,5,2,3,4,7,6]=>[1,5,2,3,4,7,6]=>([(1,2),(3,6),(4,6),(5,6)],7)
[1,5,4,7,6,3,2]=>[1,5,2,3,4,7,6]=>[1,5,2,3,4,7,6]=>([(1,2),(3,6),(4,6),(5,6)],7)
[1,5,6,2,3,4,7]=>[1,5,6,2,3,4,7]=>[1,6,2,3,5,4,7]=>([(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[1,5,6,2,3,7,4]=>[1,5,6,2,3,7,4]=>[1,6,2,7,5,3,4]=>([(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,5,6,2,4,3,7]=>[1,5,6,2,4,3,7]=>[1,6,4,2,5,3,7]=>([(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[1,5,6,2,4,7,3]=>[1,5,6,2,4,7,3]=>[1,6,7,2,5,4,3]=>([(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[1,5,6,2,7,3,4]=>[1,5,6,2,7,3,4]=>[1,6,7,3,5,2,4]=>([(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[1,5,6,2,7,4,3]=>[1,5,6,2,7,3,4]=>[1,6,7,3,5,2,4]=>([(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[1,5,6,3,2,4,7]=>[1,5,6,2,4,7,3]=>[1,6,7,2,5,4,3]=>([(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[1,5,6,3,2,7,4]=>[1,5,6,2,7,3,4]=>[1,6,7,3,5,2,4]=>([(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[1,5,6,3,4,2,7]=>[1,5,6,2,7,3,4]=>[1,6,7,3,5,2,4]=>([(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[1,5,6,3,4,7,2]=>[1,5,6,2,3,4,7]=>[1,6,2,3,5,4,7]=>([(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[1,5,6,3,7,2,4]=>[1,5,6,2,4,3,7]=>[1,6,4,2,5,3,7]=>([(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[1,5,6,3,7,4,2]=>[1,5,6,2,3,7,4]=>[1,6,2,7,5,3,4]=>([(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,5,6,4,2,3,7]=>[1,5,6,2,3,7,4]=>[1,6,2,7,5,3,4]=>([(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,5,6,4,2,7,3]=>[1,5,6,2,7,3,4]=>[1,6,7,3,5,2,4]=>([(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[1,5,6,4,3,2,7]=>[1,5,6,2,7,3,4]=>[1,6,7,3,5,2,4]=>([(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[1,5,6,4,3,7,2]=>[1,5,6,2,3,7,4]=>[1,6,2,7,5,3,4]=>([(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,5,6,4,7,2,3]=>[1,5,6,2,3,4,7]=>[1,6,2,3,5,4,7]=>([(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[1,5,6,4,7,3,2]=>[1,5,6,2,3,4,7]=>[1,6,2,3,5,4,7]=>([(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[1,5,6,7,2,3,4]=>[1,5,6,7,2,3,4]=>[1,7,2,3,5,6,4]=>([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,5,6,7,2,4,3]=>[1,5,6,7,2,4,3]=>[1,7,4,2,5,6,3]=>([(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[1,5,6,7,3,2,4]=>[1,5,6,7,2,4,3]=>[1,7,4,2,5,6,3]=>([(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[1,5,6,7,3,4,2]=>[1,5,6,7,2,3,4]=>[1,7,2,3,5,6,4]=>([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,5,6,7,4,2,3]=>[1,5,6,7,2,3,4]=>[1,7,2,3,5,6,4]=>([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,5,6,7,4,3,2]=>[1,5,6,7,2,3,4]=>[1,7,2,3,5,6,4]=>([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,5,7,2,3,4,6]=>[1,5,7,2,3,4,6]=>[1,7,2,3,5,4,6]=>([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[1,5,7,2,3,6,4]=>[1,5,7,2,3,6,4]=>[1,7,2,6,5,3,4]=>([(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,5,7,2,4,3,6]=>[1,5,7,2,4,3,6]=>[1,7,4,2,5,3,6]=>([(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[1,5,7,2,4,6,3]=>[1,5,7,2,4,6,3]=>[1,7,6,2,5,4,3]=>([(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,5,7,2,6,3,4]=>[1,5,7,2,6,3,4]=>[1,7,6,3,5,2,4]=>([(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,5,7,2,6,4,3]=>[1,5,7,2,6,3,4]=>[1,7,6,3,5,2,4]=>([(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,5,7,3,2,4,6]=>[1,5,7,2,4,6,3]=>[1,7,6,2,5,4,3]=>([(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,5,7,3,2,6,4]=>[1,5,7,2,6,3,4]=>[1,7,6,3,5,2,4]=>([(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,5,7,3,4,2,6]=>[1,5,7,2,6,3,4]=>[1,7,6,3,5,2,4]=>([(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,5,7,3,4,6,2]=>[1,5,7,2,3,4,6]=>[1,7,2,3,5,4,6]=>([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[1,5,7,3,6,2,4]=>[1,5,7,2,4,3,6]=>[1,7,4,2,5,3,6]=>([(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[1,5,7,3,6,4,2]=>[1,5,7,2,3,6,4]=>[1,7,2,6,5,3,4]=>([(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,5,7,4,2,3,6]=>[1,5,7,2,3,6,4]=>[1,7,2,6,5,3,4]=>([(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,5,7,4,2,6,3]=>[1,5,7,2,6,3,4]=>[1,7,6,3,5,2,4]=>([(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,5,7,4,3,2,6]=>[1,5,7,2,6,3,4]=>[1,7,6,3,5,2,4]=>([(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,5,7,4,3,6,2]=>[1,5,7,2,3,6,4]=>[1,7,2,6,5,3,4]=>([(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,5,7,4,6,2,3]=>[1,5,7,2,3,4,6]=>[1,7,2,3,5,4,6]=>([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[1,5,7,4,6,3,2]=>[1,5,7,2,3,4,6]=>[1,7,2,3,5,4,6]=>([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[1,5,7,6,2,3,4]=>[1,5,7,2,3,4,6]=>[1,7,2,3,5,4,6]=>([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[1,5,7,6,2,4,3]=>[1,5,7,2,4,3,6]=>[1,7,4,2,5,3,6]=>([(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[1,5,7,6,3,2,4]=>[1,5,7,2,4,3,6]=>[1,7,4,2,5,3,6]=>([(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[1,5,7,6,3,4,2]=>[1,5,7,2,3,4,6]=>[1,7,2,3,5,4,6]=>([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[1,5,7,6,4,2,3]=>[1,5,7,2,3,4,6]=>[1,7,2,3,5,4,6]=>([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[1,5,7,6,4,3,2]=>[1,5,7,2,3,4,6]=>[1,7,2,3,5,4,6]=>([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[1,6,2,3,4,5,7]=>[1,6,2,3,4,5,7]=>[1,6,2,3,4,5,7]=>([(2,6),(3,6),(4,6),(5,6)],7)
[1,6,2,3,4,7,5]=>[1,6,2,3,4,7,5]=>[1,6,2,3,7,4,5]=>([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[1,6,2,3,5,4,7]=>[1,6,2,3,5,4,7]=>[1,6,2,5,3,4,7]=>([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,6,2,3,5,7,4]=>[1,6,2,3,5,7,4]=>[1,6,2,7,3,5,4]=>([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[1,6,2,3,7,4,5]=>[1,6,2,3,7,4,5]=>[1,6,2,7,4,3,5]=>([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[1,6,2,3,7,5,4]=>[1,6,2,3,7,4,5]=>[1,6,2,7,4,3,5]=>([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[1,6,2,4,3,5,7]=>[1,6,2,4,3,5,7]=>[1,6,4,2,3,5,7]=>([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,6,2,4,3,7,5]=>[1,6,2,4,3,7,5]=>[1,6,4,2,7,3,5]=>([(1,2),(1,6),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,6,2,4,5,3,7]=>[1,6,2,4,5,3,7]=>[1,6,5,2,4,3,7]=>([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,6,2,4,5,7,3]=>[1,6,2,4,5,7,3]=>[1,6,7,2,4,5,3]=>([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[1,6,2,4,7,3,5]=>[1,6,2,4,7,3,5]=>[1,6,7,2,3,4,5]=>([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[1,6,2,4,7,5,3]=>[1,6,2,4,7,3,5]=>[1,6,7,2,3,4,5]=>([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[1,6,2,5,3,4,7]=>[1,6,2,5,3,4,7]=>[1,6,5,3,2,4,7]=>([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,6,2,5,3,7,4]=>[1,6,2,5,3,7,4]=>[1,6,5,7,2,3,4]=>([(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,6,2,5,4,3,7]=>[1,6,2,5,3,7,4]=>[1,6,5,7,2,3,4]=>([(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,6,2,5,4,7,3]=>[1,6,2,5,3,4,7]=>[1,6,5,3,2,4,7]=>([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,6,2,5,7,3,4]=>[1,6,2,5,7,3,4]=>[1,6,7,3,2,5,4]=>([(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[1,6,2,5,7,4,3]=>[1,6,2,5,7,3,4]=>[1,6,7,3,2,5,4]=>([(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[1,6,2,7,3,4,5]=>[1,6,2,7,3,4,5]=>[1,6,7,3,4,2,5]=>([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[1,6,2,7,3,5,4]=>[1,6,2,7,3,5,4]=>[1,6,7,5,3,2,4]=>([(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[1,6,2,7,4,3,5]=>[1,6,2,7,3,5,4]=>[1,6,7,5,3,2,4]=>([(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[1,6,2,7,4,5,3]=>[1,6,2,7,3,4,5]=>[1,6,7,3,4,2,5]=>([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[1,6,2,7,5,3,4]=>[1,6,2,7,3,4,5]=>[1,6,7,3,4,2,5]=>([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[1,6,2,7,5,4,3]=>[1,6,2,7,3,4,5]=>[1,6,7,3,4,2,5]=>([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[1,6,3,2,4,5,7]=>[1,6,2,4,5,7,3]=>[1,6,7,2,4,5,3]=>([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[1,6,3,2,4,7,5]=>[1,6,2,4,7,3,5]=>[1,6,7,2,3,4,5]=>([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[1,6,3,2,5,4,7]=>[1,6,2,5,3,4,7]=>[1,6,5,3,2,4,7]=>([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,6,3,2,5,7,4]=>[1,6,2,5,7,3,4]=>[1,6,7,3,2,5,4]=>([(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[1,6,3,2,7,4,5]=>[1,6,2,7,3,4,5]=>[1,6,7,3,4,2,5]=>([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[1,6,3,2,7,5,4]=>[1,6,2,7,3,4,5]=>[1,6,7,3,4,2,5]=>([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[1,6,3,4,2,5,7]=>[1,6,2,5,7,3,4]=>[1,6,7,3,2,5,4]=>([(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[1,6,3,4,2,7,5]=>[1,6,2,7,3,4,5]=>[1,6,7,3,4,2,5]=>([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[1,6,3,4,5,2,7]=>[1,6,2,7,3,4,5]=>[1,6,7,3,4,2,5]=>([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[1,6,3,4,5,7,2]=>[1,6,2,3,4,5,7]=>[1,6,2,3,4,5,7]=>([(2,6),(3,6),(4,6),(5,6)],7)
[1,6,3,4,7,2,5]=>[1,6,2,5,3,4,7]=>[1,6,5,3,2,4,7]=>([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,6,3,4,7,5,2]=>[1,6,2,3,4,7,5]=>[1,6,2,3,7,4,5]=>([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[1,6,3,5,2,4,7]=>[1,6,2,4,7,3,5]=>[1,6,7,2,3,4,5]=>([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[1,6,3,5,2,7,4]=>[1,6,2,7,3,5,4]=>[1,6,7,5,3,2,4]=>([(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[1,6,3,5,4,2,7]=>[1,6,2,7,3,5,4]=>[1,6,7,5,3,2,4]=>([(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[1,6,3,5,4,7,2]=>[1,6,2,3,5,4,7]=>[1,6,2,5,3,4,7]=>([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,6,3,5,7,2,4]=>[1,6,2,4,3,5,7]=>[1,6,4,2,3,5,7]=>([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,6,3,5,7,4,2]=>[1,6,2,3,5,7,4]=>[1,6,2,7,3,5,4]=>([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[1,6,3,7,2,4,5]=>[1,6,2,4,5,3,7]=>[1,6,5,2,4,3,7]=>([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,6,3,7,2,5,4]=>[1,6,2,5,3,7,4]=>[1,6,5,7,2,3,4]=>([(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,6,3,7,4,2,5]=>[1,6,2,5,3,7,4]=>[1,6,5,7,2,3,4]=>([(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,6,3,7,4,5,2]=>[1,6,2,3,7,4,5]=>[1,6,2,7,4,3,5]=>([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[1,6,3,7,5,2,4]=>[1,6,2,4,3,7,5]=>[1,6,4,2,7,3,5]=>([(1,2),(1,6),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,6,3,7,5,4,2]=>[1,6,2,3,7,4,5]=>[1,6,2,7,4,3,5]=>([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[1,6,4,2,3,5,7]=>[1,6,2,3,5,7,4]=>[1,6,2,7,3,5,4]=>([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[1,6,4,2,3,7,5]=>[1,6,2,3,7,4,5]=>[1,6,2,7,4,3,5]=>([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[1,6,4,2,5,3,7]=>[1,6,2,5,3,7,4]=>[1,6,5,7,2,3,4]=>([(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,6,4,2,5,7,3]=>[1,6,2,5,7,3,4]=>[1,6,7,3,2,5,4]=>([(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[1,6,4,2,7,3,5]=>[1,6,2,7,3,5,4]=>[1,6,7,5,3,2,4]=>([(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[1,6,4,2,7,5,3]=>[1,6,2,7,3,4,5]=>[1,6,7,3,4,2,5]=>([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[1,6,4,3,2,5,7]=>[1,6,2,5,7,3,4]=>[1,6,7,3,2,5,4]=>([(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[1,6,4,3,2,7,5]=>[1,6,2,7,3,4,5]=>[1,6,7,3,4,2,5]=>([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[1,6,4,3,5,2,7]=>[1,6,2,7,3,5,4]=>[1,6,7,5,3,2,4]=>([(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[1,6,4,3,5,7,2]=>[1,6,2,3,5,7,4]=>[1,6,2,7,3,5,4]=>([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[1,6,4,3,7,2,5]=>[1,6,2,5,3,7,4]=>[1,6,5,7,2,3,4]=>([(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,6,4,3,7,5,2]=>[1,6,2,3,7,4,5]=>[1,6,2,7,4,3,5]=>([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[1,6,4,5,2,3,7]=>[1,6,2,3,7,4,5]=>[1,6,2,7,4,3,5]=>([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[1,6,4,5,2,7,3]=>[1,6,2,7,3,4,5]=>[1,6,7,3,4,2,5]=>([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[1,6,4,5,3,2,7]=>[1,6,2,7,3,4,5]=>[1,6,7,3,4,2,5]=>([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[1,6,4,5,3,7,2]=>[1,6,2,3,7,4,5]=>[1,6,2,7,4,3,5]=>([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[1,6,4,5,7,2,3]=>[1,6,2,3,4,5,7]=>[1,6,2,3,4,5,7]=>([(2,6),(3,6),(4,6),(5,6)],7)
[1,6,4,5,7,3,2]=>[1,6,2,3,4,5,7]=>[1,6,2,3,4,5,7]=>([(2,6),(3,6),(4,6),(5,6)],7)
[1,6,4,7,2,3,5]=>[1,6,2,3,5,4,7]=>[1,6,2,5,3,4,7]=>([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,6,4,7,2,5,3]=>[1,6,2,5,3,4,7]=>[1,6,5,3,2,4,7]=>([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,6,4,7,3,2,5]=>[1,6,2,5,3,4,7]=>[1,6,5,3,2,4,7]=>([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,6,4,7,3,5,2]=>[1,6,2,3,5,4,7]=>[1,6,2,5,3,4,7]=>([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,6,4,7,5,2,3]=>[1,6,2,3,4,7,5]=>[1,6,2,3,7,4,5]=>([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[1,6,4,7,5,3,2]=>[1,6,2,3,4,7,5]=>[1,6,2,3,7,4,5]=>([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[1,6,5,2,3,4,7]=>[1,6,2,3,4,7,5]=>[1,6,2,3,7,4,5]=>([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[1,6,5,2,3,7,4]=>[1,6,2,3,7,4,5]=>[1,6,2,7,4,3,5]=>([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[1,6,5,2,4,3,7]=>[1,6,2,4,3,7,5]=>[1,6,4,2,7,3,5]=>([(1,2),(1,6),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,6,5,2,4,7,3]=>[1,6,2,4,7,3,5]=>[1,6,7,2,3,4,5]=>([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[1,6,5,2,7,3,4]=>[1,6,2,7,3,4,5]=>[1,6,7,3,4,2,5]=>([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[1,6,5,2,7,4,3]=>[1,6,2,7,3,4,5]=>[1,6,7,3,4,2,5]=>([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[1,6,5,3,2,4,7]=>[1,6,2,4,7,3,5]=>[1,6,7,2,3,4,5]=>([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[1,6,5,3,2,7,4]=>[1,6,2,7,3,4,5]=>[1,6,7,3,4,2,5]=>([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[1,6,5,3,4,2,7]=>[1,6,2,7,3,4,5]=>[1,6,7,3,4,2,5]=>([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[1,6,5,3,4,7,2]=>[1,6,2,3,4,7,5]=>[1,6,2,3,7,4,5]=>([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[1,6,5,3,7,2,4]=>[1,6,2,4,3,7,5]=>[1,6,4,2,7,3,5]=>([(1,2),(1,6),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,6,5,3,7,4,2]=>[1,6,2,3,7,4,5]=>[1,6,2,7,4,3,5]=>([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[1,6,5,4,2,3,7]=>[1,6,2,3,7,4,5]=>[1,6,2,7,4,3,5]=>([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[1,6,5,4,2,7,3]=>[1,6,2,7,3,4,5]=>[1,6,7,3,4,2,5]=>([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[1,6,5,4,3,2,7]=>[1,6,2,7,3,4,5]=>[1,6,7,3,4,2,5]=>([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[1,6,5,4,3,7,2]=>[1,6,2,3,7,4,5]=>[1,6,2,7,4,3,5]=>([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[1,6,5,4,7,2,3]=>[1,6,2,3,4,7,5]=>[1,6,2,3,7,4,5]=>([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[1,6,5,4,7,3,2]=>[1,6,2,3,4,7,5]=>[1,6,2,3,7,4,5]=>([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[1,6,5,7,2,3,4]=>[1,6,2,3,4,5,7]=>[1,6,2,3,4,5,7]=>([(2,6),(3,6),(4,6),(5,6)],7)
[1,6,5,7,2,4,3]=>[1,6,2,4,3,5,7]=>[1,6,4,2,3,5,7]=>([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,6,5,7,3,2,4]=>[1,6,2,4,3,5,7]=>[1,6,4,2,3,5,7]=>([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,6,5,7,3,4,2]=>[1,6,2,3,4,5,7]=>[1,6,2,3,4,5,7]=>([(2,6),(3,6),(4,6),(5,6)],7)
[1,6,5,7,4,2,3]=>[1,6,2,3,4,5,7]=>[1,6,2,3,4,5,7]=>([(2,6),(3,6),(4,6),(5,6)],7)
[1,6,5,7,4,3,2]=>[1,6,2,3,4,5,7]=>[1,6,2,3,4,5,7]=>([(2,6),(3,6),(4,6),(5,6)],7)
[1,6,7,2,3,4,5]=>[1,6,7,2,3,4,5]=>[1,7,2,3,4,6,5]=>([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[1,6,7,2,3,5,4]=>[1,6,7,2,3,5,4]=>[1,7,2,5,3,6,4]=>([(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[1,6,7,2,4,3,5]=>[1,6,7,2,4,3,5]=>[1,7,4,2,3,6,5]=>([(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,6,7,2,4,5,3]=>[1,6,7,2,4,5,3]=>[1,7,5,2,4,6,3]=>([(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,6,7,2,5,3,4]=>[1,6,7,2,5,3,4]=>[1,7,5,3,2,6,4]=>([(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,6,7,2,5,4,3]=>[1,6,7,2,5,3,4]=>[1,7,5,3,2,6,4]=>([(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,6,7,3,2,4,5]=>[1,6,7,2,4,5,3]=>[1,7,5,2,4,6,3]=>([(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,6,7,3,2,5,4]=>[1,6,7,2,5,3,4]=>[1,7,5,3,2,6,4]=>([(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,6,7,3,4,2,5]=>[1,6,7,2,5,3,4]=>[1,7,5,3,2,6,4]=>([(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,6,7,3,4,5,2]=>[1,6,7,2,3,4,5]=>[1,7,2,3,4,6,5]=>([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[1,6,7,3,5,2,4]=>[1,6,7,2,4,3,5]=>[1,7,4,2,3,6,5]=>([(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,6,7,3,5,4,2]=>[1,6,7,2,3,5,4]=>[1,7,2,5,3,6,4]=>([(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[1,6,7,4,2,3,5]=>[1,6,7,2,3,5,4]=>[1,7,2,5,3,6,4]=>([(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[1,6,7,4,2,5,3]=>[1,6,7,2,5,3,4]=>[1,7,5,3,2,6,4]=>([(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,6,7,4,3,2,5]=>[1,6,7,2,5,3,4]=>[1,7,5,3,2,6,4]=>([(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,6,7,4,3,5,2]=>[1,6,7,2,3,5,4]=>[1,7,2,5,3,6,4]=>([(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[1,6,7,4,5,2,3]=>[1,6,7,2,3,4,5]=>[1,7,2,3,4,6,5]=>([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[1,6,7,4,5,3,2]=>[1,6,7,2,3,4,5]=>[1,7,2,3,4,6,5]=>([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[1,6,7,5,2,3,4]=>[1,6,7,2,3,4,5]=>[1,7,2,3,4,6,5]=>([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[1,6,7,5,2,4,3]=>[1,6,7,2,4,3,5]=>[1,7,4,2,3,6,5]=>([(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,6,7,5,3,2,4]=>[1,6,7,2,4,3,5]=>[1,7,4,2,3,6,5]=>([(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,6,7,5,3,4,2]=>[1,6,7,2,3,4,5]=>[1,7,2,3,4,6,5]=>([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[1,6,7,5,4,2,3]=>[1,6,7,2,3,4,5]=>[1,7,2,3,4,6,5]=>([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[1,6,7,5,4,3,2]=>[1,6,7,2,3,4,5]=>[1,7,2,3,4,6,5]=>([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,7,2,3,4,6,5]=>[1,7,2,3,4,6,5]=>[1,7,2,3,6,4,5]=>([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,7,2,3,5,4,6]=>[1,7,2,3,5,4,6]=>[1,7,2,5,3,4,6]=>([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,7,2,3,5,6,4]=>[1,7,2,3,5,6,4]=>[1,7,2,6,3,5,4]=>([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,7,2,3,6,4,5]=>[1,7,2,3,6,4,5]=>[1,7,2,6,4,3,5]=>([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,7,2,3,6,5,4]=>[1,7,2,3,6,4,5]=>[1,7,2,6,4,3,5]=>([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,7,2,4,3,5,6]=>[1,7,2,4,3,5,6]=>[1,7,4,2,3,5,6]=>([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,7,2,4,3,6,5]=>[1,7,2,4,3,6,5]=>[1,7,4,2,6,3,5]=>([(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[1,7,2,4,5,3,6]=>[1,7,2,4,5,3,6]=>[1,7,5,2,4,3,6]=>([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,7,2,4,5,6,3]=>[1,7,2,4,5,6,3]=>[1,7,6,2,4,5,3]=>([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,7,2,4,6,3,5]=>[1,7,2,4,6,3,5]=>[1,7,6,2,3,4,5]=>([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,7,2,4,6,5,3]=>[1,7,2,4,6,3,5]=>[1,7,6,2,3,4,5]=>([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,7,2,5,3,4,6]=>[1,7,2,5,3,4,6]=>[1,7,5,3,2,4,6]=>([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,7,2,5,3,6,4]=>[1,7,2,5,3,6,4]=>[1,7,5,6,2,3,4]=>([(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[1,7,2,5,4,3,6]=>[1,7,2,5,3,6,4]=>[1,7,5,6,2,3,4]=>([(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[1,7,2,5,4,6,3]=>[1,7,2,5,3,4,6]=>[1,7,5,3,2,4,6]=>([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,7,2,5,6,3,4]=>[1,7,2,5,6,3,4]=>[1,7,6,3,2,5,4]=>([(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,7,2,5,6,4,3]=>[1,7,2,5,6,3,4]=>[1,7,6,3,2,5,4]=>([(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,7,2,6,3,4,5]=>[1,7,2,6,3,4,5]=>[1,7,6,3,4,2,5]=>([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,7,2,6,3,5,4]=>[1,7,2,6,3,5,4]=>[1,7,6,5,3,2,4]=>([(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,7,2,6,4,3,5]=>[1,7,2,6,3,5,4]=>[1,7,6,5,3,2,4]=>([(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,7,2,6,4,5,3]=>[1,7,2,6,3,4,5]=>[1,7,6,3,4,2,5]=>([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,7,2,6,5,3,4]=>[1,7,2,6,3,4,5]=>[1,7,6,3,4,2,5]=>([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,7,2,6,5,4,3]=>[1,7,2,6,3,4,5]=>[1,7,6,3,4,2,5]=>([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,7,3,2,4,5,6]=>[1,7,2,4,5,6,3]=>[1,7,6,2,4,5,3]=>([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,7,3,2,4,6,5]=>[1,7,2,4,6,3,5]=>[1,7,6,2,3,4,5]=>([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,7,3,2,5,4,6]=>[1,7,2,5,3,4,6]=>[1,7,5,3,2,4,6]=>([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,7,3,2,5,6,4]=>[1,7,2,5,6,3,4]=>[1,7,6,3,2,5,4]=>([(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,7,3,2,6,4,5]=>[1,7,2,6,3,4,5]=>[1,7,6,3,4,2,5]=>([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,7,3,2,6,5,4]=>[1,7,2,6,3,4,5]=>[1,7,6,3,4,2,5]=>([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,7,3,4,2,5,6]=>[1,7,2,5,6,3,4]=>[1,7,6,3,2,5,4]=>([(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,7,3,4,2,6,5]=>[1,7,2,6,3,4,5]=>[1,7,6,3,4,2,5]=>([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,7,3,4,5,2,6]=>[1,7,2,6,3,4,5]=>[1,7,6,3,4,2,5]=>([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,7,3,4,5,6,2]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,7,3,4,6,2,5]=>[1,7,2,5,3,4,6]=>[1,7,5,3,2,4,6]=>([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,7,3,4,6,5,2]=>[1,7,2,3,4,6,5]=>[1,7,2,3,6,4,5]=>([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,7,3,5,2,4,6]=>[1,7,2,4,6,3,5]=>[1,7,6,2,3,4,5]=>([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,7,3,5,2,6,4]=>[1,7,2,6,3,5,4]=>[1,7,6,5,3,2,4]=>([(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,7,3,5,4,2,6]=>[1,7,2,6,3,5,4]=>[1,7,6,5,3,2,4]=>([(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,7,3,5,4,6,2]=>[1,7,2,3,5,4,6]=>[1,7,2,5,3,4,6]=>([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,7,3,5,6,2,4]=>[1,7,2,4,3,5,6]=>[1,7,4,2,3,5,6]=>([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,7,3,5,6,4,2]=>[1,7,2,3,5,6,4]=>[1,7,2,6,3,5,4]=>([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,7,3,6,2,4,5]=>[1,7,2,4,5,3,6]=>[1,7,5,2,4,3,6]=>([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,7,3,6,2,5,4]=>[1,7,2,5,3,6,4]=>[1,7,5,6,2,3,4]=>([(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[1,7,3,6,4,2,5]=>[1,7,2,5,3,6,4]=>[1,7,5,6,2,3,4]=>([(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[1,7,3,6,4,5,2]=>[1,7,2,3,6,4,5]=>[1,7,2,6,4,3,5]=>([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,7,3,6,5,2,4]=>[1,7,2,4,3,6,5]=>[1,7,4,2,6,3,5]=>([(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[1,7,3,6,5,4,2]=>[1,7,2,3,6,4,5]=>[1,7,2,6,4,3,5]=>([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,7,4,2,3,5,6]=>[1,7,2,3,5,6,4]=>[1,7,2,6,3,5,4]=>([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,7,4,2,3,6,5]=>[1,7,2,3,6,4,5]=>[1,7,2,6,4,3,5]=>([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,7,4,2,5,3,6]=>[1,7,2,5,3,6,4]=>[1,7,5,6,2,3,4]=>([(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[1,7,4,2,5,6,3]=>[1,7,2,5,6,3,4]=>[1,7,6,3,2,5,4]=>([(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,7,4,2,6,3,5]=>[1,7,2,6,3,5,4]=>[1,7,6,5,3,2,4]=>([(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,7,4,2,6,5,3]=>[1,7,2,6,3,4,5]=>[1,7,6,3,4,2,5]=>([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,7,4,3,2,5,6]=>[1,7,2,5,6,3,4]=>[1,7,6,3,2,5,4]=>([(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,7,4,3,2,6,5]=>[1,7,2,6,3,4,5]=>[1,7,6,3,4,2,5]=>([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,7,4,3,5,2,6]=>[1,7,2,6,3,5,4]=>[1,7,6,5,3,2,4]=>([(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,7,4,3,5,6,2]=>[1,7,2,3,5,6,4]=>[1,7,2,6,3,5,4]=>([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,7,4,3,6,2,5]=>[1,7,2,5,3,6,4]=>[1,7,5,6,2,3,4]=>([(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[1,7,4,3,6,5,2]=>[1,7,2,3,6,4,5]=>[1,7,2,6,4,3,5]=>([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,7,4,5,2,3,6]=>[1,7,2,3,6,4,5]=>[1,7,2,6,4,3,5]=>([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,7,4,5,2,6,3]=>[1,7,2,6,3,4,5]=>[1,7,6,3,4,2,5]=>([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,7,4,5,3,2,6]=>[1,7,2,6,3,4,5]=>[1,7,6,3,4,2,5]=>([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,7,4,5,3,6,2]=>[1,7,2,3,6,4,5]=>[1,7,2,6,4,3,5]=>([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,7,4,5,6,2,3]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,7,4,5,6,3,2]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,7,4,6,2,3,5]=>[1,7,2,3,5,4,6]=>[1,7,2,5,3,4,6]=>([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,7,4,6,2,5,3]=>[1,7,2,5,3,4,6]=>[1,7,5,3,2,4,6]=>([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,7,4,6,3,2,5]=>[1,7,2,5,3,4,6]=>[1,7,5,3,2,4,6]=>([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,7,4,6,3,5,2]=>[1,7,2,3,5,4,6]=>[1,7,2,5,3,4,6]=>([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,7,4,6,5,2,3]=>[1,7,2,3,4,6,5]=>[1,7,2,3,6,4,5]=>([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,7,4,6,5,3,2]=>[1,7,2,3,4,6,5]=>[1,7,2,3,6,4,5]=>([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,7,5,2,3,4,6]=>[1,7,2,3,4,6,5]=>[1,7,2,3,6,4,5]=>([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,7,5,2,3,6,4]=>[1,7,2,3,6,4,5]=>[1,7,2,6,4,3,5]=>([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,7,5,2,4,3,6]=>[1,7,2,4,3,6,5]=>[1,7,4,2,6,3,5]=>([(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[1,7,5,2,4,6,3]=>[1,7,2,4,6,3,5]=>[1,7,6,2,3,4,5]=>([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,7,5,2,6,3,4]=>[1,7,2,6,3,4,5]=>[1,7,6,3,4,2,5]=>([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,7,5,2,6,4,3]=>[1,7,2,6,3,4,5]=>[1,7,6,3,4,2,5]=>([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,7,5,3,2,4,6]=>[1,7,2,4,6,3,5]=>[1,7,6,2,3,4,5]=>([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,7,5,3,2,6,4]=>[1,7,2,6,3,4,5]=>[1,7,6,3,4,2,5]=>([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,7,5,3,4,2,6]=>[1,7,2,6,3,4,5]=>[1,7,6,3,4,2,5]=>([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,7,5,3,4,6,2]=>[1,7,2,3,4,6,5]=>[1,7,2,3,6,4,5]=>([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,7,5,3,6,2,4]=>[1,7,2,4,3,6,5]=>[1,7,4,2,6,3,5]=>([(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[1,7,5,3,6,4,2]=>[1,7,2,3,6,4,5]=>[1,7,2,6,4,3,5]=>([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,7,5,4,2,3,6]=>[1,7,2,3,6,4,5]=>[1,7,2,6,4,3,5]=>([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,7,5,4,2,6,3]=>[1,7,2,6,3,4,5]=>[1,7,6,3,4,2,5]=>([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,7,5,4,3,2,6]=>[1,7,2,6,3,4,5]=>[1,7,6,3,4,2,5]=>([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,7,5,4,3,6,2]=>[1,7,2,3,6,4,5]=>[1,7,2,6,4,3,5]=>([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,7,5,4,6,2,3]=>[1,7,2,3,4,6,5]=>[1,7,2,3,6,4,5]=>([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,7,5,4,6,3,2]=>[1,7,2,3,4,6,5]=>[1,7,2,3,6,4,5]=>([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,7,5,6,2,3,4]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,7,5,6,2,4,3]=>[1,7,2,4,3,5,6]=>[1,7,4,2,3,5,6]=>([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,7,5,6,3,2,4]=>[1,7,2,4,3,5,6]=>[1,7,4,2,3,5,6]=>([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,7,5,6,3,4,2]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,7,5,6,4,2,3]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,7,5,6,4,3,2]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,7,6,2,3,4,5]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,7,6,2,3,5,4]=>[1,7,2,3,5,4,6]=>[1,7,2,5,3,4,6]=>([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,7,6,2,4,3,5]=>[1,7,2,4,3,5,6]=>[1,7,4,2,3,5,6]=>([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,7,6,2,4,5,3]=>[1,7,2,4,5,3,6]=>[1,7,5,2,4,3,6]=>([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,7,6,2,5,3,4]=>[1,7,2,5,3,4,6]=>[1,7,5,3,2,4,6]=>([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,7,6,2,5,4,3]=>[1,7,2,5,3,4,6]=>[1,7,5,3,2,4,6]=>([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,7,6,3,2,4,5]=>[1,7,2,4,5,3,6]=>[1,7,5,2,4,3,6]=>([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,7,6,3,2,5,4]=>[1,7,2,5,3,4,6]=>[1,7,5,3,2,4,6]=>([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,7,6,3,4,2,5]=>[1,7,2,5,3,4,6]=>[1,7,5,3,2,4,6]=>([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,7,6,3,4,5,2]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,7,6,3,5,2,4]=>[1,7,2,4,3,5,6]=>[1,7,4,2,3,5,6]=>([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,7,6,3,5,4,2]=>[1,7,2,3,5,4,6]=>[1,7,2,5,3,4,6]=>([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,7,6,4,2,3,5]=>[1,7,2,3,5,4,6]=>[1,7,2,5,3,4,6]=>([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,7,6,4,2,5,3]=>[1,7,2,5,3,4,6]=>[1,7,5,3,2,4,6]=>([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,7,6,4,3,2,5]=>[1,7,2,5,3,4,6]=>[1,7,5,3,2,4,6]=>([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,7,6,4,3,5,2]=>[1,7,2,3,5,4,6]=>[1,7,2,5,3,4,6]=>([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,7,6,4,5,2,3]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,7,6,4,5,3,2]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,7,6,5,2,3,4]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,7,6,5,2,4,3]=>[1,7,2,4,3,5,6]=>[1,7,4,2,3,5,6]=>([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,7,6,5,3,2,4]=>[1,7,2,4,3,5,6]=>[1,7,4,2,3,5,6]=>([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[1,7,6,5,3,4,2]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,7,6,5,4,2,3]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[1,7,6,5,4,3,2]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[2,1,3,4,5,6,7]=>[1,3,4,5,6,7,2]=>[1,7,3,4,5,6,2]=>([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,1,3,4,5,7,6]=>[1,3,4,5,7,2,6]=>[1,7,3,4,5,2,6]=>([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,1,3,4,6,5,7]=>[1,3,4,6,2,5,7]=>[1,6,3,4,2,5,7]=>([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,1,3,4,6,7,5]=>[1,3,4,6,7,2,5]=>[1,7,3,4,2,6,5]=>([(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,1,3,4,7,5,6]=>[1,3,4,7,2,5,6]=>[1,7,3,4,2,5,6]=>([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,1,3,4,7,6,5]=>[1,3,4,7,2,5,6]=>[1,7,3,4,2,5,6]=>([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,1,3,5,4,6,7]=>[1,3,5,2,4,6,7]=>[1,5,3,2,4,6,7]=>([(3,6),(4,5),(4,6),(5,6)],7)
[2,1,3,5,4,7,6]=>[1,3,5,2,4,7,6]=>[1,5,3,2,4,7,6]=>([(1,2),(3,6),(4,5),(4,6),(5,6)],7)
[2,1,3,5,6,4,7]=>[1,3,5,6,2,4,7]=>[1,6,3,2,5,4,7]=>([(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7)
[2,1,3,5,6,7,4]=>[1,3,5,6,7,2,4]=>[1,7,3,2,5,6,4]=>([(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,1,3,5,7,4,6]=>[1,3,5,7,2,4,6]=>[1,7,3,2,5,4,6]=>([(1,6),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7)
[2,1,3,5,7,6,4]=>[1,3,5,7,2,4,6]=>[1,7,3,2,5,4,6]=>([(1,6),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7)
[2,1,3,6,4,5,7]=>[1,3,6,2,4,5,7]=>[1,6,3,2,4,5,7]=>([(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[2,1,3,6,4,7,5]=>[1,3,6,2,4,7,5]=>[1,6,3,2,7,4,5]=>([(1,4),(1,5),(2,3),(2,6),(3,6),(4,6),(5,6)],7)
[2,1,3,6,5,4,7]=>[1,3,6,2,4,7,5]=>[1,6,3,2,7,4,5]=>([(1,4),(1,5),(2,3),(2,6),(3,6),(4,6),(5,6)],7)
[2,1,3,6,5,7,4]=>[1,3,6,2,4,5,7]=>[1,6,3,2,4,5,7]=>([(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[2,1,3,6,7,4,5]=>[1,3,6,7,2,4,5]=>[1,7,3,2,4,6,5]=>([(1,6),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7)
[2,1,3,6,7,5,4]=>[1,3,6,7,2,4,5]=>[1,7,3,2,4,6,5]=>([(1,6),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7)
[2,1,3,7,4,5,6]=>[1,3,7,2,4,5,6]=>[1,7,3,2,4,5,6]=>([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[2,1,3,7,4,6,5]=>[1,3,7,2,4,6,5]=>[1,7,3,2,6,4,5]=>([(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,1,3,7,5,4,6]=>[1,3,7,2,4,6,5]=>[1,7,3,2,6,4,5]=>([(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,1,3,7,5,6,4]=>[1,3,7,2,4,5,6]=>[1,7,3,2,4,5,6]=>([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[2,1,3,7,6,4,5]=>[1,3,7,2,4,5,6]=>[1,7,3,2,4,5,6]=>([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[2,1,3,7,6,5,4]=>[1,3,7,2,4,5,6]=>[1,7,3,2,4,5,6]=>([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[2,1,4,3,5,6,7]=>[1,4,2,3,5,6,7]=>[1,4,2,3,5,6,7]=>([(4,6),(5,6)],7)
[2,1,4,3,5,7,6]=>[1,4,2,3,5,7,6]=>[1,4,2,3,5,7,6]=>([(2,3),(4,6),(5,6)],7)
[2,1,4,3,6,5,7]=>[1,4,2,3,6,5,7]=>[1,4,2,3,6,5,7]=>([(2,3),(4,6),(5,6)],7)
[2,1,4,3,6,7,5]=>[1,4,2,3,6,7,5]=>[1,4,2,3,7,6,5]=>([(1,6),(2,6),(3,4),(3,5),(4,5)],7)
[2,1,4,3,7,5,6]=>[1,4,2,3,7,5,6]=>[1,4,2,3,7,5,6]=>([(1,6),(2,6),(3,5),(4,5)],7)
[2,1,4,3,7,6,5]=>[1,4,2,3,7,5,6]=>[1,4,2,3,7,5,6]=>([(1,6),(2,6),(3,5),(4,5)],7)
[2,1,4,5,3,6,7]=>[1,4,5,2,3,6,7]=>[1,5,2,4,3,6,7]=>([(3,6),(4,5),(4,6),(5,6)],7)
[2,1,4,5,3,7,6]=>[1,4,5,2,3,7,6]=>[1,5,2,4,3,7,6]=>([(1,2),(3,6),(4,5),(4,6),(5,6)],7)
[2,1,4,5,6,3,7]=>[1,4,5,6,2,3,7]=>[1,6,2,4,5,3,7]=>([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,1,4,5,6,7,3]=>[1,4,5,6,7,2,3]=>[1,7,2,4,5,6,3]=>([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,1,4,5,7,3,6]=>[1,4,5,7,2,3,6]=>[1,7,2,4,5,3,6]=>([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,1,4,5,7,6,3]=>[1,4,5,7,2,3,6]=>[1,7,2,4,5,3,6]=>([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,1,4,6,3,5,7]=>[1,4,6,2,3,5,7]=>[1,6,2,4,3,5,7]=>([(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[2,1,4,6,3,7,5]=>[1,4,6,2,3,7,5]=>[1,6,2,4,7,3,5]=>([(1,6),(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7)
[2,1,4,6,5,3,7]=>[1,4,6,2,3,7,5]=>[1,6,2,4,7,3,5]=>([(1,6),(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7)
[2,1,4,6,5,7,3]=>[1,4,6,2,3,5,7]=>[1,6,2,4,3,5,7]=>([(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[2,1,4,6,7,3,5]=>[1,4,6,7,2,3,5]=>[1,7,2,4,3,6,5]=>([(1,6),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7)
[2,1,4,6,7,5,3]=>[1,4,6,7,2,3,5]=>[1,7,2,4,3,6,5]=>([(1,6),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7)
[2,1,4,7,3,5,6]=>[1,4,7,2,3,5,6]=>[1,7,2,4,3,5,6]=>([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[2,1,4,7,3,6,5]=>[1,4,7,2,3,6,5]=>[1,7,2,4,6,3,5]=>([(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[2,1,4,7,5,3,6]=>[1,4,7,2,3,6,5]=>[1,7,2,4,6,3,5]=>([(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[2,1,4,7,5,6,3]=>[1,4,7,2,3,5,6]=>[1,7,2,4,3,5,6]=>([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[2,1,4,7,6,3,5]=>[1,4,7,2,3,5,6]=>[1,7,2,4,3,5,6]=>([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[2,1,4,7,6,5,3]=>[1,4,7,2,3,5,6]=>[1,7,2,4,3,5,6]=>([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[2,1,5,3,4,6,7]=>[1,5,2,3,4,6,7]=>[1,5,2,3,4,6,7]=>([(3,6),(4,6),(5,6)],7)
[2,1,5,3,4,7,6]=>[1,5,2,3,4,7,6]=>[1,5,2,3,4,7,6]=>([(1,2),(3,6),(4,6),(5,6)],7)
[2,1,5,3,6,4,7]=>[1,5,2,3,6,4,7]=>[1,5,2,6,3,4,7]=>([(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[2,1,5,3,6,7,4]=>[1,5,2,3,6,7,4]=>[1,5,2,7,3,6,4]=>([(1,6),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
[2,1,5,3,7,4,6]=>[1,5,2,3,7,4,6]=>[1,5,2,7,3,4,6]=>([(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
[2,1,5,3,7,6,4]=>[1,5,2,3,7,4,6]=>[1,5,2,7,3,4,6]=>([(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
[2,1,5,4,3,6,7]=>[1,5,2,3,6,7,4]=>[1,5,2,7,3,6,4]=>([(1,6),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
[2,1,5,4,3,7,6]=>[1,5,2,3,7,4,6]=>[1,5,2,7,3,4,6]=>([(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
[2,1,5,4,6,3,7]=>[1,5,2,3,7,4,6]=>[1,5,2,7,3,4,6]=>([(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
[2,1,5,4,6,7,3]=>[1,5,2,3,4,6,7]=>[1,5,2,3,4,6,7]=>([(3,6),(4,6),(5,6)],7)
[2,1,5,4,7,3,6]=>[1,5,2,3,6,4,7]=>[1,5,2,6,3,4,7]=>([(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[2,1,5,4,7,6,3]=>[1,5,2,3,4,7,6]=>[1,5,2,3,4,7,6]=>([(1,2),(3,6),(4,6),(5,6)],7)
[2,1,5,6,3,4,7]=>[1,5,6,2,3,4,7]=>[1,6,2,3,5,4,7]=>([(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[2,1,5,6,3,7,4]=>[1,5,6,2,3,7,4]=>[1,6,2,7,5,3,4]=>([(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,1,5,6,4,3,7]=>[1,5,6,2,3,7,4]=>[1,6,2,7,5,3,4]=>([(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,1,5,6,4,7,3]=>[1,5,6,2,3,4,7]=>[1,6,2,3,5,4,7]=>([(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[2,1,5,6,7,3,4]=>[1,5,6,7,2,3,4]=>[1,7,2,3,5,6,4]=>([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,1,5,6,7,4,3]=>[1,5,6,7,2,3,4]=>[1,7,2,3,5,6,4]=>([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,1,5,7,3,4,6]=>[1,5,7,2,3,4,6]=>[1,7,2,3,5,4,6]=>([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[2,1,5,7,3,6,4]=>[1,5,7,2,3,6,4]=>[1,7,2,6,5,3,4]=>([(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,1,5,7,4,3,6]=>[1,5,7,2,3,6,4]=>[1,7,2,6,5,3,4]=>([(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,1,5,7,4,6,3]=>[1,5,7,2,3,4,6]=>[1,7,2,3,5,4,6]=>([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[2,1,5,7,6,3,4]=>[1,5,7,2,3,4,6]=>[1,7,2,3,5,4,6]=>([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[2,1,5,7,6,4,3]=>[1,5,7,2,3,4,6]=>[1,7,2,3,5,4,6]=>([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[2,1,6,3,4,5,7]=>[1,6,2,3,4,5,7]=>[1,6,2,3,4,5,7]=>([(2,6),(3,6),(4,6),(5,6)],7)
[2,1,6,3,4,7,5]=>[1,6,2,3,4,7,5]=>[1,6,2,3,7,4,5]=>([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[2,1,6,3,5,4,7]=>[1,6,2,3,5,4,7]=>[1,6,2,5,3,4,7]=>([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,1,6,3,5,7,4]=>[1,6,2,3,5,7,4]=>[1,6,2,7,3,5,4]=>([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[2,1,6,3,7,4,5]=>[1,6,2,3,7,4,5]=>[1,6,2,7,4,3,5]=>([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[2,1,6,3,7,5,4]=>[1,6,2,3,7,4,5]=>[1,6,2,7,4,3,5]=>([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[2,1,6,4,3,5,7]=>[1,6,2,3,5,7,4]=>[1,6,2,7,3,5,4]=>([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[2,1,6,4,3,7,5]=>[1,6,2,3,7,4,5]=>[1,6,2,7,4,3,5]=>([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[2,1,6,4,5,3,7]=>[1,6,2,3,7,4,5]=>[1,6,2,7,4,3,5]=>([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[2,1,6,4,5,7,3]=>[1,6,2,3,4,5,7]=>[1,6,2,3,4,5,7]=>([(2,6),(3,6),(4,6),(5,6)],7)
[2,1,6,4,7,3,5]=>[1,6,2,3,5,4,7]=>[1,6,2,5,3,4,7]=>([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,1,6,4,7,5,3]=>[1,6,2,3,4,7,5]=>[1,6,2,3,7,4,5]=>([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[2,1,6,5,3,4,7]=>[1,6,2,3,4,7,5]=>[1,6,2,3,7,4,5]=>([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[2,1,6,5,3,7,4]=>[1,6,2,3,7,4,5]=>[1,6,2,7,4,3,5]=>([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[2,1,6,5,4,3,7]=>[1,6,2,3,7,4,5]=>[1,6,2,7,4,3,5]=>([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[2,1,6,5,4,7,3]=>[1,6,2,3,4,7,5]=>[1,6,2,3,7,4,5]=>([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[2,1,6,5,7,3,4]=>[1,6,2,3,4,5,7]=>[1,6,2,3,4,5,7]=>([(2,6),(3,6),(4,6),(5,6)],7)
[2,1,6,5,7,4,3]=>[1,6,2,3,4,5,7]=>[1,6,2,3,4,5,7]=>([(2,6),(3,6),(4,6),(5,6)],7)
[2,1,6,7,3,4,5]=>[1,6,7,2,3,4,5]=>[1,7,2,3,4,6,5]=>([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[2,1,6,7,3,5,4]=>[1,6,7,2,3,5,4]=>[1,7,2,5,3,6,4]=>([(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[2,1,6,7,4,3,5]=>[1,6,7,2,3,5,4]=>[1,7,2,5,3,6,4]=>([(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[2,1,6,7,4,5,3]=>[1,6,7,2,3,4,5]=>[1,7,2,3,4,6,5]=>([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[2,1,6,7,5,3,4]=>[1,6,7,2,3,4,5]=>[1,7,2,3,4,6,5]=>([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[2,1,6,7,5,4,3]=>[1,6,7,2,3,4,5]=>[1,7,2,3,4,6,5]=>([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[2,1,7,3,4,5,6]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[2,1,7,3,4,6,5]=>[1,7,2,3,4,6,5]=>[1,7,2,3,6,4,5]=>([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,1,7,3,5,4,6]=>[1,7,2,3,5,4,6]=>[1,7,2,5,3,4,6]=>([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,1,7,3,5,6,4]=>[1,7,2,3,5,6,4]=>[1,7,2,6,3,5,4]=>([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,1,7,3,6,4,5]=>[1,7,2,3,6,4,5]=>[1,7,2,6,4,3,5]=>([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,1,7,3,6,5,4]=>[1,7,2,3,6,4,5]=>[1,7,2,6,4,3,5]=>([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,1,7,4,3,5,6]=>[1,7,2,3,5,6,4]=>[1,7,2,6,3,5,4]=>([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,1,7,4,3,6,5]=>[1,7,2,3,6,4,5]=>[1,7,2,6,4,3,5]=>([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,1,7,4,5,3,6]=>[1,7,2,3,6,4,5]=>[1,7,2,6,4,3,5]=>([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,1,7,4,5,6,3]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[2,1,7,4,6,3,5]=>[1,7,2,3,5,4,6]=>[1,7,2,5,3,4,6]=>([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,1,7,4,6,5,3]=>[1,7,2,3,4,6,5]=>[1,7,2,3,6,4,5]=>([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,1,7,5,3,4,6]=>[1,7,2,3,4,6,5]=>[1,7,2,3,6,4,5]=>([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,1,7,5,3,6,4]=>[1,7,2,3,6,4,5]=>[1,7,2,6,4,3,5]=>([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,1,7,5,4,3,6]=>[1,7,2,3,6,4,5]=>[1,7,2,6,4,3,5]=>([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,1,7,5,4,6,3]=>[1,7,2,3,4,6,5]=>[1,7,2,3,6,4,5]=>([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,1,7,5,6,3,4]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[2,1,7,5,6,4,3]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[2,1,7,6,3,4,5]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[2,1,7,6,3,5,4]=>[1,7,2,3,5,4,6]=>[1,7,2,5,3,4,6]=>([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,1,7,6,4,3,5]=>[1,7,2,3,5,4,6]=>[1,7,2,5,3,4,6]=>([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,1,7,6,4,5,3]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[2,1,7,6,5,3,4]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[2,1,7,6,5,4,3]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[2,3,1,4,5,6,7]=>[1,4,5,6,7,2,3]=>[1,7,2,4,5,6,3]=>([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,3,1,4,5,7,6]=>[1,4,5,7,2,3,6]=>[1,7,2,4,5,3,6]=>([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,3,1,4,6,5,7]=>[1,4,6,2,3,5,7]=>[1,6,2,4,3,5,7]=>([(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[2,3,1,4,6,7,5]=>[1,4,6,7,2,3,5]=>[1,7,2,4,3,6,5]=>([(1,6),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7)
[2,3,1,4,7,5,6]=>[1,4,7,2,3,5,6]=>[1,7,2,4,3,5,6]=>([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[2,3,1,4,7,6,5]=>[1,4,7,2,3,5,6]=>[1,7,2,4,3,5,6]=>([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[2,3,1,5,4,6,7]=>[1,5,2,3,4,6,7]=>[1,5,2,3,4,6,7]=>([(3,6),(4,6),(5,6)],7)
[2,3,1,5,4,7,6]=>[1,5,2,3,4,7,6]=>[1,5,2,3,4,7,6]=>([(1,2),(3,6),(4,6),(5,6)],7)
[2,3,1,5,6,4,7]=>[1,5,6,2,3,4,7]=>[1,6,2,3,5,4,7]=>([(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[2,3,1,5,6,7,4]=>[1,5,6,7,2,3,4]=>[1,7,2,3,5,6,4]=>([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,3,1,5,7,4,6]=>[1,5,7,2,3,4,6]=>[1,7,2,3,5,4,6]=>([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[2,3,1,5,7,6,4]=>[1,5,7,2,3,4,6]=>[1,7,2,3,5,4,6]=>([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[2,3,1,6,4,5,7]=>[1,6,2,3,4,5,7]=>[1,6,2,3,4,5,7]=>([(2,6),(3,6),(4,6),(5,6)],7)
[2,3,1,6,4,7,5]=>[1,6,2,3,4,7,5]=>[1,6,2,3,7,4,5]=>([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[2,3,1,6,5,4,7]=>[1,6,2,3,4,7,5]=>[1,6,2,3,7,4,5]=>([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[2,3,1,6,5,7,4]=>[1,6,2,3,4,5,7]=>[1,6,2,3,4,5,7]=>([(2,6),(3,6),(4,6),(5,6)],7)
[2,3,1,6,7,4,5]=>[1,6,7,2,3,4,5]=>[1,7,2,3,4,6,5]=>([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[2,3,1,6,7,5,4]=>[1,6,7,2,3,4,5]=>[1,7,2,3,4,6,5]=>([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[2,3,1,7,4,5,6]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[2,3,1,7,4,6,5]=>[1,7,2,3,4,6,5]=>[1,7,2,3,6,4,5]=>([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,3,1,7,5,4,6]=>[1,7,2,3,4,6,5]=>[1,7,2,3,6,4,5]=>([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,3,1,7,5,6,4]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[2,3,1,7,6,4,5]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[2,3,1,7,6,5,4]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[2,3,4,1,5,6,7]=>[1,5,6,7,2,3,4]=>[1,7,2,3,5,6,4]=>([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,3,4,1,5,7,6]=>[1,5,7,2,3,4,6]=>[1,7,2,3,5,4,6]=>([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[2,3,4,1,6,5,7]=>[1,6,2,3,4,5,7]=>[1,6,2,3,4,5,7]=>([(2,6),(3,6),(4,6),(5,6)],7)
[2,3,4,1,6,7,5]=>[1,6,7,2,3,4,5]=>[1,7,2,3,4,6,5]=>([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[2,3,4,1,7,5,6]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[2,3,4,1,7,6,5]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[2,3,4,5,1,6,7]=>[1,6,7,2,3,4,5]=>[1,7,2,3,4,6,5]=>([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[2,3,4,5,1,7,6]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[2,3,4,5,6,1,7]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[2,3,4,5,6,7,1]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>([],7)
[2,3,4,5,7,1,6]=>[1,6,2,3,4,5,7]=>[1,6,2,3,4,5,7]=>([(2,6),(3,6),(4,6),(5,6)],7)
[2,3,4,5,7,6,1]=>[1,2,3,4,5,7,6]=>[1,2,3,4,5,7,6]=>([(5,6)],7)
[2,3,4,6,1,5,7]=>[1,5,7,2,3,4,6]=>[1,7,2,3,5,4,6]=>([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[2,3,4,6,1,7,5]=>[1,7,2,3,4,6,5]=>[1,7,2,3,6,4,5]=>([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,3,4,6,5,1,7]=>[1,7,2,3,4,6,5]=>[1,7,2,3,6,4,5]=>([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,3,4,6,5,7,1]=>[1,2,3,4,6,5,7]=>[1,2,3,4,6,5,7]=>([(5,6)],7)
[2,3,4,6,7,1,5]=>[1,5,2,3,4,6,7]=>[1,5,2,3,4,6,7]=>([(3,6),(4,6),(5,6)],7)
[2,3,4,6,7,5,1]=>[1,2,3,4,6,7,5]=>[1,2,3,4,7,6,5]=>([(4,5),(4,6),(5,6)],7)
[2,3,4,7,1,5,6]=>[1,5,6,2,3,4,7]=>[1,6,2,3,5,4,7]=>([(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[2,3,4,7,1,6,5]=>[1,6,2,3,4,7,5]=>[1,6,2,3,7,4,5]=>([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[2,3,4,7,5,1,6]=>[1,6,2,3,4,7,5]=>[1,6,2,3,7,4,5]=>([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[2,3,4,7,5,6,1]=>[1,2,3,4,7,5,6]=>[1,2,3,4,7,5,6]=>([(4,6),(5,6)],7)
[2,3,4,7,6,1,5]=>[1,5,2,3,4,7,6]=>[1,5,2,3,4,7,6]=>([(1,2),(3,6),(4,6),(5,6)],7)
[2,3,4,7,6,5,1]=>[1,2,3,4,7,5,6]=>[1,2,3,4,7,5,6]=>([(4,6),(5,6)],7)
[2,3,5,1,4,6,7]=>[1,4,6,7,2,3,5]=>[1,7,2,4,3,6,5]=>([(1,6),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7)
[2,3,5,1,4,7,6]=>[1,4,7,2,3,5,6]=>[1,7,2,4,3,5,6]=>([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[2,3,5,1,6,4,7]=>[1,6,2,3,5,4,7]=>[1,6,2,5,3,4,7]=>([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,3,5,1,6,7,4]=>[1,6,7,2,3,5,4]=>[1,7,2,5,3,6,4]=>([(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[2,3,5,1,7,4,6]=>[1,7,2,3,5,4,6]=>[1,7,2,5,3,4,6]=>([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,3,5,1,7,6,4]=>[1,7,2,3,5,4,6]=>[1,7,2,5,3,4,6]=>([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,3,5,4,1,6,7]=>[1,6,7,2,3,5,4]=>[1,7,2,5,3,6,4]=>([(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[2,3,5,4,1,7,6]=>[1,7,2,3,5,4,6]=>[1,7,2,5,3,4,6]=>([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,3,5,4,6,1,7]=>[1,7,2,3,5,4,6]=>[1,7,2,5,3,4,6]=>([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,3,5,4,6,7,1]=>[1,2,3,5,4,6,7]=>[1,2,3,5,4,6,7]=>([(5,6)],7)
[2,3,5,4,7,1,6]=>[1,6,2,3,5,4,7]=>[1,6,2,5,3,4,7]=>([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,3,5,4,7,6,1]=>[1,2,3,5,4,7,6]=>[1,2,3,5,4,7,6]=>([(3,6),(4,5)],7)
[2,3,5,6,1,4,7]=>[1,4,7,2,3,5,6]=>[1,7,2,4,3,5,6]=>([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[2,3,5,6,1,7,4]=>[1,7,2,3,5,6,4]=>[1,7,2,6,3,5,4]=>([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,3,5,6,4,1,7]=>[1,7,2,3,5,6,4]=>[1,7,2,6,3,5,4]=>([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,3,5,6,4,7,1]=>[1,2,3,5,6,4,7]=>[1,2,3,6,5,4,7]=>([(4,5),(4,6),(5,6)],7)
[2,3,5,6,7,1,4]=>[1,4,2,3,5,6,7]=>[1,4,2,3,5,6,7]=>([(4,6),(5,6)],7)
[2,3,5,6,7,4,1]=>[1,2,3,5,6,7,4]=>[1,2,3,7,5,6,4]=>([(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,3,5,7,1,4,6]=>[1,4,6,2,3,5,7]=>[1,6,2,4,3,5,7]=>([(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[2,3,5,7,1,6,4]=>[1,6,2,3,5,7,4]=>[1,6,2,7,3,5,4]=>([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[2,3,5,7,4,1,6]=>[1,6,2,3,5,7,4]=>[1,6,2,7,3,5,4]=>([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[2,3,5,7,4,6,1]=>[1,2,3,5,7,4,6]=>[1,2,3,7,5,4,6]=>([(3,6),(4,5),(4,6),(5,6)],7)
[2,3,5,7,6,1,4]=>[1,4,2,3,5,7,6]=>[1,4,2,3,5,7,6]=>([(2,3),(4,6),(5,6)],7)
[2,3,5,7,6,4,1]=>[1,2,3,5,7,4,6]=>[1,2,3,7,5,4,6]=>([(3,6),(4,5),(4,6),(5,6)],7)
[2,3,6,1,4,5,7]=>[1,4,5,7,2,3,6]=>[1,7,2,4,5,3,6]=>([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,3,6,1,4,7,5]=>[1,4,7,2,3,6,5]=>[1,7,2,4,6,3,5]=>([(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[2,3,6,1,5,4,7]=>[1,5,2,3,6,4,7]=>[1,5,2,6,3,4,7]=>([(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[2,3,6,1,5,7,4]=>[1,5,7,2,3,6,4]=>[1,7,2,6,5,3,4]=>([(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,3,6,1,7,4,5]=>[1,7,2,3,6,4,5]=>[1,7,2,6,4,3,5]=>([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,3,6,1,7,5,4]=>[1,7,2,3,6,4,5]=>[1,7,2,6,4,3,5]=>([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,3,6,4,1,5,7]=>[1,5,7,2,3,6,4]=>[1,7,2,6,5,3,4]=>([(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,3,6,4,1,7,5]=>[1,7,2,3,6,4,5]=>[1,7,2,6,4,3,5]=>([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,3,6,4,5,1,7]=>[1,7,2,3,6,4,5]=>[1,7,2,6,4,3,5]=>([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,3,6,4,5,7,1]=>[1,2,3,6,4,5,7]=>[1,2,3,6,4,5,7]=>([(4,6),(5,6)],7)
[2,3,6,4,7,1,5]=>[1,5,2,3,6,4,7]=>[1,5,2,6,3,4,7]=>([(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[2,3,6,4,7,5,1]=>[1,2,3,6,4,7,5]=>[1,2,3,6,7,4,5]=>([(3,5),(3,6),(4,5),(4,6)],7)
[2,3,6,5,1,4,7]=>[1,4,7,2,3,6,5]=>[1,7,2,4,6,3,5]=>([(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[2,3,6,5,1,7,4]=>[1,7,2,3,6,4,5]=>[1,7,2,6,4,3,5]=>([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,3,6,5,4,1,7]=>[1,7,2,3,6,4,5]=>[1,7,2,6,4,3,5]=>([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,3,6,5,4,7,1]=>[1,2,3,6,4,7,5]=>[1,2,3,6,7,4,5]=>([(3,5),(3,6),(4,5),(4,6)],7)
[2,3,6,5,7,1,4]=>[1,4,2,3,6,5,7]=>[1,4,2,3,6,5,7]=>([(2,3),(4,6),(5,6)],7)
[2,3,6,5,7,4,1]=>[1,2,3,6,4,5,7]=>[1,2,3,6,4,5,7]=>([(4,6),(5,6)],7)
[2,3,6,7,1,4,5]=>[1,4,5,2,3,6,7]=>[1,5,2,4,3,6,7]=>([(3,6),(4,5),(4,6),(5,6)],7)
[2,3,6,7,1,5,4]=>[1,5,2,3,6,7,4]=>[1,5,2,7,3,6,4]=>([(1,6),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
[2,3,6,7,4,1,5]=>[1,5,2,3,6,7,4]=>[1,5,2,7,3,6,4]=>([(1,6),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
[2,3,6,7,4,5,1]=>[1,2,3,6,7,4,5]=>[1,2,3,7,4,6,5]=>([(3,6),(4,5),(4,6),(5,6)],7)
[2,3,6,7,5,1,4]=>[1,4,2,3,6,7,5]=>[1,4,2,3,7,6,5]=>([(1,6),(2,6),(3,4),(3,5),(4,5)],7)
[2,3,6,7,5,4,1]=>[1,2,3,6,7,4,5]=>[1,2,3,7,4,6,5]=>([(3,6),(4,5),(4,6),(5,6)],7)
[2,3,7,1,4,5,6]=>[1,4,5,6,2,3,7]=>[1,6,2,4,5,3,7]=>([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,3,7,1,4,6,5]=>[1,4,6,2,3,7,5]=>[1,6,2,4,7,3,5]=>([(1,6),(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7)
[2,3,7,1,5,4,6]=>[1,5,2,3,7,4,6]=>[1,5,2,7,3,4,6]=>([(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
[2,3,7,1,5,6,4]=>[1,5,6,2,3,7,4]=>[1,6,2,7,5,3,4]=>([(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,3,7,1,6,4,5]=>[1,6,2,3,7,4,5]=>[1,6,2,7,4,3,5]=>([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[2,3,7,1,6,5,4]=>[1,6,2,3,7,4,5]=>[1,6,2,7,4,3,5]=>([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[2,3,7,4,1,5,6]=>[1,5,6,2,3,7,4]=>[1,6,2,7,5,3,4]=>([(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,3,7,4,1,6,5]=>[1,6,2,3,7,4,5]=>[1,6,2,7,4,3,5]=>([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[2,3,7,4,5,1,6]=>[1,6,2,3,7,4,5]=>[1,6,2,7,4,3,5]=>([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[2,3,7,4,5,6,1]=>[1,2,3,7,4,5,6]=>[1,2,3,7,4,5,6]=>([(3,6),(4,6),(5,6)],7)
[2,3,7,4,6,1,5]=>[1,5,2,3,7,4,6]=>[1,5,2,7,3,4,6]=>([(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
[2,3,7,4,6,5,1]=>[1,2,3,7,4,6,5]=>[1,2,3,7,6,4,5]=>([(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,3,7,5,1,4,6]=>[1,4,6,2,3,7,5]=>[1,6,2,4,7,3,5]=>([(1,6),(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7)
[2,3,7,5,1,6,4]=>[1,6,2,3,7,4,5]=>[1,6,2,7,4,3,5]=>([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[2,3,7,5,4,1,6]=>[1,6,2,3,7,4,5]=>[1,6,2,7,4,3,5]=>([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[2,3,7,5,4,6,1]=>[1,2,3,7,4,6,5]=>[1,2,3,7,6,4,5]=>([(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,3,7,5,6,1,4]=>[1,4,2,3,7,5,6]=>[1,4,2,3,7,5,6]=>([(1,6),(2,6),(3,5),(4,5)],7)
[2,3,7,5,6,4,1]=>[1,2,3,7,4,5,6]=>[1,2,3,7,4,5,6]=>([(3,6),(4,6),(5,6)],7)
[2,3,7,6,1,4,5]=>[1,4,5,2,3,7,6]=>[1,5,2,4,3,7,6]=>([(1,2),(3,6),(4,5),(4,6),(5,6)],7)
[2,3,7,6,1,5,4]=>[1,5,2,3,7,4,6]=>[1,5,2,7,3,4,6]=>([(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
[2,3,7,6,4,1,5]=>[1,5,2,3,7,4,6]=>[1,5,2,7,3,4,6]=>([(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
[2,3,7,6,4,5,1]=>[1,2,3,7,4,5,6]=>[1,2,3,7,4,5,6]=>([(3,6),(4,6),(5,6)],7)
[2,3,7,6,5,1,4]=>[1,4,2,3,7,5,6]=>[1,4,2,3,7,5,6]=>([(1,6),(2,6),(3,5),(4,5)],7)
[2,3,7,6,5,4,1]=>[1,2,3,7,4,5,6]=>[1,2,3,7,4,5,6]=>([(3,6),(4,6),(5,6)],7)
[2,4,1,3,5,6,7]=>[1,3,5,6,7,2,4]=>[1,7,3,2,5,6,4]=>([(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,4,1,3,5,7,6]=>[1,3,5,7,2,4,6]=>[1,7,3,2,5,4,6]=>([(1,6),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7)
[2,4,1,3,6,5,7]=>[1,3,6,2,4,5,7]=>[1,6,3,2,4,5,7]=>([(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[2,4,1,3,6,7,5]=>[1,3,6,7,2,4,5]=>[1,7,3,2,4,6,5]=>([(1,6),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7)
[2,4,1,3,7,5,6]=>[1,3,7,2,4,5,6]=>[1,7,3,2,4,5,6]=>([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[2,4,1,3,7,6,5]=>[1,3,7,2,4,5,6]=>[1,7,3,2,4,5,6]=>([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[2,4,1,5,3,6,7]=>[1,5,2,4,3,6,7]=>[1,5,4,2,3,6,7]=>([(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,4,1,5,3,7,6]=>[1,5,2,4,3,7,6]=>[1,5,4,2,3,7,6]=>([(1,2),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,4,1,5,6,3,7]=>[1,5,6,2,4,3,7]=>[1,6,4,2,5,3,7]=>([(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[2,4,1,5,6,7,3]=>[1,5,6,7,2,4,3]=>[1,7,4,2,5,6,3]=>([(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[2,4,1,5,7,3,6]=>[1,5,7,2,4,3,6]=>[1,7,4,2,5,3,6]=>([(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[2,4,1,5,7,6,3]=>[1,5,7,2,4,3,6]=>[1,7,4,2,5,3,6]=>([(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[2,4,1,6,3,5,7]=>[1,6,2,4,3,5,7]=>[1,6,4,2,3,5,7]=>([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,4,1,6,3,7,5]=>[1,6,2,4,3,7,5]=>[1,6,4,2,7,3,5]=>([(1,2),(1,6),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,4,1,6,5,3,7]=>[1,6,2,4,3,7,5]=>[1,6,4,2,7,3,5]=>([(1,2),(1,6),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,4,1,6,5,7,3]=>[1,6,2,4,3,5,7]=>[1,6,4,2,3,5,7]=>([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,4,1,6,7,3,5]=>[1,6,7,2,4,3,5]=>[1,7,4,2,3,6,5]=>([(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,4,1,6,7,5,3]=>[1,6,7,2,4,3,5]=>[1,7,4,2,3,6,5]=>([(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,4,1,7,3,5,6]=>[1,7,2,4,3,5,6]=>[1,7,4,2,3,5,6]=>([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,4,1,7,3,6,5]=>[1,7,2,4,3,6,5]=>[1,7,4,2,6,3,5]=>([(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[2,4,1,7,5,3,6]=>[1,7,2,4,3,6,5]=>[1,7,4,2,6,3,5]=>([(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[2,4,1,7,5,6,3]=>[1,7,2,4,3,5,6]=>[1,7,4,2,3,5,6]=>([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,4,1,7,6,3,5]=>[1,7,2,4,3,5,6]=>[1,7,4,2,3,5,6]=>([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,4,1,7,6,5,3]=>[1,7,2,4,3,5,6]=>[1,7,4,2,3,5,6]=>([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,4,3,1,5,6,7]=>[1,5,6,7,2,4,3]=>[1,7,4,2,5,6,3]=>([(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[2,4,3,1,5,7,6]=>[1,5,7,2,4,3,6]=>[1,7,4,2,5,3,6]=>([(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[2,4,3,1,6,5,7]=>[1,6,2,4,3,5,7]=>[1,6,4,2,3,5,7]=>([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,4,3,1,6,7,5]=>[1,6,7,2,4,3,5]=>[1,7,4,2,3,6,5]=>([(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,4,3,1,7,5,6]=>[1,7,2,4,3,5,6]=>[1,7,4,2,3,5,6]=>([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,4,3,1,7,6,5]=>[1,7,2,4,3,5,6]=>[1,7,4,2,3,5,6]=>([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,4,3,5,1,6,7]=>[1,6,7,2,4,3,5]=>[1,7,4,2,3,6,5]=>([(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,4,3,5,1,7,6]=>[1,7,2,4,3,5,6]=>[1,7,4,2,3,5,6]=>([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,4,3,5,6,1,7]=>[1,7,2,4,3,5,6]=>[1,7,4,2,3,5,6]=>([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,4,3,5,6,7,1]=>[1,2,4,3,5,6,7]=>[1,2,4,3,5,6,7]=>([(5,6)],7)
[2,4,3,5,7,1,6]=>[1,6,2,4,3,5,7]=>[1,6,4,2,3,5,7]=>([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,4,3,5,7,6,1]=>[1,2,4,3,5,7,6]=>[1,2,4,3,5,7,6]=>([(3,6),(4,5)],7)
[2,4,3,6,1,5,7]=>[1,5,7,2,4,3,6]=>[1,7,4,2,5,3,6]=>([(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[2,4,3,6,1,7,5]=>[1,7,2,4,3,6,5]=>[1,7,4,2,6,3,5]=>([(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[2,4,3,6,5,1,7]=>[1,7,2,4,3,6,5]=>[1,7,4,2,6,3,5]=>([(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[2,4,3,6,5,7,1]=>[1,2,4,3,6,5,7]=>[1,2,4,3,6,5,7]=>([(3,6),(4,5)],7)
[2,4,3,6,7,1,5]=>[1,5,2,4,3,6,7]=>[1,5,4,2,3,6,7]=>([(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,4,3,6,7,5,1]=>[1,2,4,3,6,7,5]=>[1,2,4,3,7,6,5]=>([(2,3),(4,5),(4,6),(5,6)],7)
[2,4,3,7,1,5,6]=>[1,5,6,2,4,3,7]=>[1,6,4,2,5,3,7]=>([(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[2,4,3,7,1,6,5]=>[1,6,2,4,3,7,5]=>[1,6,4,2,7,3,5]=>([(1,2),(1,6),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,4,3,7,5,1,6]=>[1,6,2,4,3,7,5]=>[1,6,4,2,7,3,5]=>([(1,2),(1,6),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,4,3,7,5,6,1]=>[1,2,4,3,7,5,6]=>[1,2,4,3,7,5,6]=>([(2,3),(4,6),(5,6)],7)
[2,4,3,7,6,1,5]=>[1,5,2,4,3,7,6]=>[1,5,4,2,3,7,6]=>([(1,2),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,4,3,7,6,5,1]=>[1,2,4,3,7,5,6]=>[1,2,4,3,7,5,6]=>([(2,3),(4,6),(5,6)],7)
[2,4,5,1,3,6,7]=>[1,3,6,7,2,4,5]=>[1,7,3,2,4,6,5]=>([(1,6),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7)
[2,4,5,1,3,7,6]=>[1,3,7,2,4,5,6]=>[1,7,3,2,4,5,6]=>([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[2,4,5,1,6,3,7]=>[1,6,2,4,5,3,7]=>[1,6,5,2,4,3,7]=>([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,4,5,1,6,7,3]=>[1,6,7,2,4,5,3]=>[1,7,5,2,4,6,3]=>([(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,4,5,1,7,3,6]=>[1,7,2,4,5,3,6]=>[1,7,5,2,4,3,6]=>([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,4,5,1,7,6,3]=>[1,7,2,4,5,3,6]=>[1,7,5,2,4,3,6]=>([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,4,5,3,1,6,7]=>[1,6,7,2,4,5,3]=>[1,7,5,2,4,6,3]=>([(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,4,5,3,1,7,6]=>[1,7,2,4,5,3,6]=>[1,7,5,2,4,3,6]=>([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,4,5,3,6,1,7]=>[1,7,2,4,5,3,6]=>[1,7,5,2,4,3,6]=>([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,4,5,3,6,7,1]=>[1,2,4,5,3,6,7]=>[1,2,5,4,3,6,7]=>([(4,5),(4,6),(5,6)],7)
[2,4,5,3,7,1,6]=>[1,6,2,4,5,3,7]=>[1,6,5,2,4,3,7]=>([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,4,5,3,7,6,1]=>[1,2,4,5,3,7,6]=>[1,2,5,4,3,7,6]=>([(2,3),(4,5),(4,6),(5,6)],7)
[2,4,5,6,1,3,7]=>[1,3,7,2,4,5,6]=>[1,7,3,2,4,5,6]=>([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[2,4,5,6,1,7,3]=>[1,7,2,4,5,6,3]=>[1,7,6,2,4,5,3]=>([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,4,5,6,3,1,7]=>[1,7,2,4,5,6,3]=>[1,7,6,2,4,5,3]=>([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,4,5,6,3,7,1]=>[1,2,4,5,6,3,7]=>[1,2,6,4,5,3,7]=>([(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,4,5,6,7,1,3]=>[1,3,2,4,5,6,7]=>[1,3,2,4,5,6,7]=>([(5,6)],7)
[2,4,5,6,7,3,1]=>[1,2,4,5,6,7,3]=>[1,2,7,4,5,6,3]=>([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,4,5,7,1,3,6]=>[1,3,6,2,4,5,7]=>[1,6,3,2,4,5,7]=>([(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[2,4,5,7,1,6,3]=>[1,6,2,4,5,7,3]=>[1,6,7,2,4,5,3]=>([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[2,4,5,7,3,1,6]=>[1,6,2,4,5,7,3]=>[1,6,7,2,4,5,3]=>([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[2,4,5,7,3,6,1]=>[1,2,4,5,7,3,6]=>[1,2,7,4,5,3,6]=>([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,4,5,7,6,1,3]=>[1,3,2,4,5,7,6]=>[1,3,2,4,5,7,6]=>([(3,6),(4,5)],7)
[2,4,5,7,6,3,1]=>[1,2,4,5,7,3,6]=>[1,2,7,4,5,3,6]=>([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,4,6,1,3,5,7]=>[1,3,5,7,2,4,6]=>[1,7,3,2,5,4,6]=>([(1,6),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7)
[2,4,6,1,3,7,5]=>[1,3,7,2,4,6,5]=>[1,7,3,2,6,4,5]=>([(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,4,6,1,5,3,7]=>[1,5,2,4,6,3,7]=>[1,5,6,2,4,3,7]=>([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[2,4,6,1,5,7,3]=>[1,5,7,2,4,6,3]=>[1,7,6,2,5,4,3]=>([(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,4,6,1,7,3,5]=>[1,7,2,4,6,3,5]=>[1,7,6,2,3,4,5]=>([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,4,6,1,7,5,3]=>[1,7,2,4,6,3,5]=>[1,7,6,2,3,4,5]=>([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,4,6,3,1,5,7]=>[1,5,7,2,4,6,3]=>[1,7,6,2,5,4,3]=>([(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,4,6,3,1,7,5]=>[1,7,2,4,6,3,5]=>[1,7,6,2,3,4,5]=>([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,4,6,3,5,1,7]=>[1,7,2,4,6,3,5]=>[1,7,6,2,3,4,5]=>([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,4,6,3,5,7,1]=>[1,2,4,6,3,5,7]=>[1,2,6,4,3,5,7]=>([(3,6),(4,5),(4,6),(5,6)],7)
[2,4,6,3,7,1,5]=>[1,5,2,4,6,3,7]=>[1,5,6,2,4,3,7]=>([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[2,4,6,3,7,5,1]=>[1,2,4,6,3,7,5]=>[1,2,6,4,7,3,5]=>([(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7)
[2,4,6,5,1,3,7]=>[1,3,7,2,4,6,5]=>[1,7,3,2,6,4,5]=>([(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,4,6,5,1,7,3]=>[1,7,2,4,6,3,5]=>[1,7,6,2,3,4,5]=>([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,4,6,5,3,1,7]=>[1,7,2,4,6,3,5]=>[1,7,6,2,3,4,5]=>([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,4,6,5,3,7,1]=>[1,2,4,6,3,7,5]=>[1,2,6,4,7,3,5]=>([(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7)
[2,4,6,5,7,1,3]=>[1,3,2,4,6,5,7]=>[1,3,2,4,6,5,7]=>([(3,6),(4,5)],7)
[2,4,6,5,7,3,1]=>[1,2,4,6,3,5,7]=>[1,2,6,4,3,5,7]=>([(3,6),(4,5),(4,6),(5,6)],7)
[2,4,6,7,1,3,5]=>[1,3,5,2,4,6,7]=>[1,5,3,2,4,6,7]=>([(3,6),(4,5),(4,6),(5,6)],7)
[2,4,6,7,1,5,3]=>[1,5,2,4,6,7,3]=>[1,5,7,2,4,6,3]=>([(1,5),(1,6),(2,3),(2,5),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[2,4,6,7,3,1,5]=>[1,5,2,4,6,7,3]=>[1,5,7,2,4,6,3]=>([(1,5),(1,6),(2,3),(2,5),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[2,4,6,7,3,5,1]=>[1,2,4,6,7,3,5]=>[1,2,7,4,3,6,5]=>([(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7)
[2,4,6,7,5,1,3]=>[1,3,2,4,6,7,5]=>[1,3,2,4,7,6,5]=>([(2,3),(4,5),(4,6),(5,6)],7)
[2,4,6,7,5,3,1]=>[1,2,4,6,7,3,5]=>[1,2,7,4,3,6,5]=>([(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7)
[2,4,7,1,3,5,6]=>[1,3,5,6,2,4,7]=>[1,6,3,2,5,4,7]=>([(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7)
[2,4,7,1,3,6,5]=>[1,3,6,2,4,7,5]=>[1,6,3,2,7,4,5]=>([(1,4),(1,5),(2,3),(2,6),(3,6),(4,6),(5,6)],7)
[2,4,7,1,5,3,6]=>[1,5,2,4,7,3,6]=>[1,5,7,2,4,3,6]=>([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[2,4,7,1,5,6,3]=>[1,5,6,2,4,7,3]=>[1,6,7,2,5,4,3]=>([(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[2,4,7,1,6,3,5]=>[1,6,2,4,7,3,5]=>[1,6,7,2,3,4,5]=>([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,4,7,1,6,5,3]=>[1,6,2,4,7,3,5]=>[1,6,7,2,3,4,5]=>([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,4,7,3,1,5,6]=>[1,5,6,2,4,7,3]=>[1,6,7,2,5,4,3]=>([(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[2,4,7,3,1,6,5]=>[1,6,2,4,7,3,5]=>[1,6,7,2,3,4,5]=>([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,4,7,3,5,1,6]=>[1,6,2,4,7,3,5]=>[1,6,7,2,3,4,5]=>([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,4,7,3,5,6,1]=>[1,2,4,7,3,5,6]=>[1,2,7,4,3,5,6]=>([(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[2,4,7,3,6,1,5]=>[1,5,2,4,7,3,6]=>[1,5,7,2,4,3,6]=>([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[2,4,7,3,6,5,1]=>[1,2,4,7,3,6,5]=>[1,2,7,4,6,3,5]=>([(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[2,4,7,5,1,3,6]=>[1,3,6,2,4,7,5]=>[1,6,3,2,7,4,5]=>([(1,4),(1,5),(2,3),(2,6),(3,6),(4,6),(5,6)],7)
[2,4,7,5,1,6,3]=>[1,6,2,4,7,3,5]=>[1,6,7,2,3,4,5]=>([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,4,7,5,3,1,6]=>[1,6,2,4,7,3,5]=>[1,6,7,2,3,4,5]=>([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,4,7,5,3,6,1]=>[1,2,4,7,3,6,5]=>[1,2,7,4,6,3,5]=>([(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[2,4,7,5,6,1,3]=>[1,3,2,4,7,5,6]=>[1,3,2,4,7,5,6]=>([(2,3),(4,6),(5,6)],7)
[2,4,7,5,6,3,1]=>[1,2,4,7,3,5,6]=>[1,2,7,4,3,5,6]=>([(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[2,4,7,6,1,3,5]=>[1,3,5,2,4,7,6]=>[1,5,3,2,4,7,6]=>([(1,2),(3,6),(4,5),(4,6),(5,6)],7)
[2,4,7,6,1,5,3]=>[1,5,2,4,7,3,6]=>[1,5,7,2,4,3,6]=>([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[2,4,7,6,3,1,5]=>[1,5,2,4,7,3,6]=>[1,5,7,2,4,3,6]=>([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[2,4,7,6,3,5,1]=>[1,2,4,7,3,5,6]=>[1,2,7,4,3,5,6]=>([(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[2,4,7,6,5,1,3]=>[1,3,2,4,7,5,6]=>[1,3,2,4,7,5,6]=>([(2,3),(4,6),(5,6)],7)
[2,4,7,6,5,3,1]=>[1,2,4,7,3,5,6]=>[1,2,7,4,3,5,6]=>([(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[2,5,1,3,4,6,7]=>[1,3,4,6,7,2,5]=>[1,7,3,4,2,6,5]=>([(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,5,1,3,4,7,6]=>[1,3,4,7,2,5,6]=>[1,7,3,4,2,5,6]=>([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,5,1,3,6,4,7]=>[1,3,6,2,5,4,7]=>[1,6,3,5,2,4,7]=>([(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[2,5,1,3,6,7,4]=>[1,3,6,7,2,5,4]=>[1,7,3,5,2,6,4]=>([(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[2,5,1,3,7,4,6]=>[1,3,7,2,5,4,6]=>[1,7,3,5,2,4,6]=>([(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[2,5,1,3,7,6,4]=>[1,3,7,2,5,4,6]=>[1,7,3,5,2,4,6]=>([(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[2,5,1,4,3,6,7]=>[1,4,2,5,3,6,7]=>[1,4,5,2,3,6,7]=>([(3,5),(3,6),(4,5),(4,6)],7)
[2,5,1,4,3,7,6]=>[1,4,2,5,3,7,6]=>[1,4,5,2,3,7,6]=>([(1,2),(3,5),(3,6),(4,5),(4,6)],7)
[2,5,1,4,6,3,7]=>[1,4,6,2,5,3,7]=>[1,6,5,4,2,3,7]=>([(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,5,1,4,6,7,3]=>[1,4,6,7,2,5,3]=>[1,7,5,4,2,6,3]=>([(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,5,1,4,7,3,6]=>[1,4,7,2,5,3,6]=>[1,7,5,4,2,3,6]=>([(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,5,1,4,7,6,3]=>[1,4,7,2,5,3,6]=>[1,7,5,4,2,3,6]=>([(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,5,1,6,3,4,7]=>[1,6,2,5,3,4,7]=>[1,6,5,3,2,4,7]=>([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,5,1,6,3,7,4]=>[1,6,2,5,3,7,4]=>[1,6,5,7,2,3,4]=>([(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,5,1,6,4,3,7]=>[1,6,2,5,3,7,4]=>[1,6,5,7,2,3,4]=>([(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,5,1,6,4,7,3]=>[1,6,2,5,3,4,7]=>[1,6,5,3,2,4,7]=>([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,5,1,6,7,3,4]=>[1,6,7,2,5,3,4]=>[1,7,5,3,2,6,4]=>([(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,5,1,6,7,4,3]=>[1,6,7,2,5,3,4]=>[1,7,5,3,2,6,4]=>([(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,5,1,7,3,4,6]=>[1,7,2,5,3,4,6]=>[1,7,5,3,2,4,6]=>([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,5,1,7,3,6,4]=>[1,7,2,5,3,6,4]=>[1,7,5,6,2,3,4]=>([(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[2,5,1,7,4,3,6]=>[1,7,2,5,3,6,4]=>[1,7,5,6,2,3,4]=>([(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[2,5,1,7,4,6,3]=>[1,7,2,5,3,4,6]=>[1,7,5,3,2,4,6]=>([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,5,1,7,6,3,4]=>[1,7,2,5,3,4,6]=>[1,7,5,3,2,4,6]=>([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,5,1,7,6,4,3]=>[1,7,2,5,3,4,6]=>[1,7,5,3,2,4,6]=>([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,5,3,1,4,6,7]=>[1,4,6,7,2,5,3]=>[1,7,5,4,2,6,3]=>([(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,5,3,1,4,7,6]=>[1,4,7,2,5,3,6]=>[1,7,5,4,2,3,6]=>([(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,5,3,1,6,4,7]=>[1,6,2,5,3,4,7]=>[1,6,5,3,2,4,7]=>([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,5,3,1,6,7,4]=>[1,6,7,2,5,3,4]=>[1,7,5,3,2,6,4]=>([(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,5,3,1,7,4,6]=>[1,7,2,5,3,4,6]=>[1,7,5,3,2,4,6]=>([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,5,3,1,7,6,4]=>[1,7,2,5,3,4,6]=>[1,7,5,3,2,4,6]=>([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,5,3,4,1,6,7]=>[1,6,7,2,5,3,4]=>[1,7,5,3,2,6,4]=>([(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,5,3,4,1,7,6]=>[1,7,2,5,3,4,6]=>[1,7,5,3,2,4,6]=>([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,5,3,4,6,1,7]=>[1,7,2,5,3,4,6]=>[1,7,5,3,2,4,6]=>([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,5,3,4,6,7,1]=>[1,2,5,3,4,6,7]=>[1,2,5,3,4,6,7]=>([(4,6),(5,6)],7)
[2,5,3,4,7,1,6]=>[1,6,2,5,3,4,7]=>[1,6,5,3,2,4,7]=>([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,5,3,4,7,6,1]=>[1,2,5,3,4,7,6]=>[1,2,5,3,4,7,6]=>([(2,3),(4,6),(5,6)],7)
[2,5,3,6,1,4,7]=>[1,4,7,2,5,3,6]=>[1,7,5,4,2,3,6]=>([(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,5,3,6,1,7,4]=>[1,7,2,5,3,6,4]=>[1,7,5,6,2,3,4]=>([(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[2,5,3,6,4,1,7]=>[1,7,2,5,3,6,4]=>[1,7,5,6,2,3,4]=>([(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[2,5,3,6,4,7,1]=>[1,2,5,3,6,4,7]=>[1,2,5,6,3,4,7]=>([(3,5),(3,6),(4,5),(4,6)],7)
[2,5,3,6,7,1,4]=>[1,4,2,5,3,6,7]=>[1,4,5,2,3,6,7]=>([(3,5),(3,6),(4,5),(4,6)],7)
[2,5,3,6,7,4,1]=>[1,2,5,3,6,7,4]=>[1,2,5,7,3,6,4]=>([(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7)
[2,5,3,7,1,4,6]=>[1,4,6,2,5,3,7]=>[1,6,5,4,2,3,7]=>([(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,5,3,7,1,6,4]=>[1,6,2,5,3,7,4]=>[1,6,5,7,2,3,4]=>([(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,5,3,7,4,1,6]=>[1,6,2,5,3,7,4]=>[1,6,5,7,2,3,4]=>([(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,5,3,7,4,6,1]=>[1,2,5,3,7,4,6]=>[1,2,5,7,3,4,6]=>([(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[2,5,3,7,6,1,4]=>[1,4,2,5,3,7,6]=>[1,4,5,2,3,7,6]=>([(1,2),(3,5),(3,6),(4,5),(4,6)],7)
[2,5,3,7,6,4,1]=>[1,2,5,3,7,4,6]=>[1,2,5,7,3,4,6]=>([(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[2,5,4,1,3,6,7]=>[1,3,6,7,2,5,4]=>[1,7,3,5,2,6,4]=>([(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[2,5,4,1,3,7,6]=>[1,3,7,2,5,4,6]=>[1,7,3,5,2,4,6]=>([(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[2,5,4,1,6,3,7]=>[1,6,2,5,3,7,4]=>[1,6,5,7,2,3,4]=>([(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,5,4,1,6,7,3]=>[1,6,7,2,5,3,4]=>[1,7,5,3,2,6,4]=>([(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,5,4,1,7,3,6]=>[1,7,2,5,3,6,4]=>[1,7,5,6,2,3,4]=>([(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[2,5,4,1,7,6,3]=>[1,7,2,5,3,4,6]=>[1,7,5,3,2,4,6]=>([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,5,4,3,1,6,7]=>[1,6,7,2,5,3,4]=>[1,7,5,3,2,6,4]=>([(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,5,4,3,1,7,6]=>[1,7,2,5,3,4,6]=>[1,7,5,3,2,4,6]=>([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,5,4,3,6,1,7]=>[1,7,2,5,3,6,4]=>[1,7,5,6,2,3,4]=>([(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[2,5,4,3,6,7,1]=>[1,2,5,3,6,7,4]=>[1,2,5,7,3,6,4]=>([(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7)
[2,5,4,3,7,1,6]=>[1,6,2,5,3,7,4]=>[1,6,5,7,2,3,4]=>([(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,5,4,3,7,6,1]=>[1,2,5,3,7,4,6]=>[1,2,5,7,3,4,6]=>([(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[2,5,4,6,1,3,7]=>[1,3,7,2,5,4,6]=>[1,7,3,5,2,4,6]=>([(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[2,5,4,6,1,7,3]=>[1,7,2,5,3,4,6]=>[1,7,5,3,2,4,6]=>([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,5,4,6,3,1,7]=>[1,7,2,5,3,4,6]=>[1,7,5,3,2,4,6]=>([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,5,4,6,3,7,1]=>[1,2,5,3,7,4,6]=>[1,2,5,7,3,4,6]=>([(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[2,5,4,6,7,1,3]=>[1,3,2,5,4,6,7]=>[1,3,2,5,4,6,7]=>([(3,6),(4,5)],7)
[2,5,4,6,7,3,1]=>[1,2,5,3,4,6,7]=>[1,2,5,3,4,6,7]=>([(4,6),(5,6)],7)
[2,5,4,7,1,3,6]=>[1,3,6,2,5,4,7]=>[1,6,3,5,2,4,7]=>([(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[2,5,4,7,1,6,3]=>[1,6,2,5,3,4,7]=>[1,6,5,3,2,4,7]=>([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,5,4,7,3,1,6]=>[1,6,2,5,3,4,7]=>[1,6,5,3,2,4,7]=>([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,5,4,7,3,6,1]=>[1,2,5,3,6,4,7]=>[1,2,5,6,3,4,7]=>([(3,5),(3,6),(4,5),(4,6)],7)
[2,5,4,7,6,1,3]=>[1,3,2,5,4,7,6]=>[1,3,2,5,4,7,6]=>([(1,6),(2,5),(3,4)],7)
[2,5,4,7,6,3,1]=>[1,2,5,3,4,7,6]=>[1,2,5,3,4,7,6]=>([(2,3),(4,6),(5,6)],7)
[2,5,6,1,3,4,7]=>[1,3,4,7,2,5,6]=>[1,7,3,4,2,5,6]=>([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,5,6,1,3,7,4]=>[1,3,7,2,5,6,4]=>[1,7,3,6,2,5,4]=>([(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,5,6,1,4,3,7]=>[1,4,2,5,6,3,7]=>[1,4,6,2,5,3,7]=>([(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7)
[2,5,6,1,4,7,3]=>[1,4,7,2,5,6,3]=>[1,7,6,4,2,5,3]=>([(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,5,6,1,7,3,4]=>[1,7,2,5,6,3,4]=>[1,7,6,3,2,5,4]=>([(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,5,6,1,7,4,3]=>[1,7,2,5,6,3,4]=>[1,7,6,3,2,5,4]=>([(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,5,6,3,1,4,7]=>[1,4,7,2,5,6,3]=>[1,7,6,4,2,5,3]=>([(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,5,6,3,1,7,4]=>[1,7,2,5,6,3,4]=>[1,7,6,3,2,5,4]=>([(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,5,6,3,4,1,7]=>[1,7,2,5,6,3,4]=>[1,7,6,3,2,5,4]=>([(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,5,6,3,4,7,1]=>[1,2,5,6,3,4,7]=>[1,2,6,3,5,4,7]=>([(3,6),(4,5),(4,6),(5,6)],7)
[2,5,6,3,7,1,4]=>[1,4,2,5,6,3,7]=>[1,4,6,2,5,3,7]=>([(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7)
[2,5,6,3,7,4,1]=>[1,2,5,6,3,7,4]=>[1,2,6,7,5,3,4]=>([(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[2,5,6,4,1,3,7]=>[1,3,7,2,5,6,4]=>[1,7,3,6,2,5,4]=>([(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,5,6,4,1,7,3]=>[1,7,2,5,6,3,4]=>[1,7,6,3,2,5,4]=>([(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,5,6,4,3,1,7]=>[1,7,2,5,6,3,4]=>[1,7,6,3,2,5,4]=>([(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,5,6,4,3,7,1]=>[1,2,5,6,3,7,4]=>[1,2,6,7,5,3,4]=>([(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[2,5,6,4,7,1,3]=>[1,3,2,5,6,4,7]=>[1,3,2,6,5,4,7]=>([(2,3),(4,5),(4,6),(5,6)],7)
[2,5,6,4,7,3,1]=>[1,2,5,6,3,4,7]=>[1,2,6,3,5,4,7]=>([(3,6),(4,5),(4,6),(5,6)],7)
[2,5,6,7,1,3,4]=>[1,3,4,2,5,6,7]=>[1,4,3,2,5,6,7]=>([(4,5),(4,6),(5,6)],7)
[2,5,6,7,1,4,3]=>[1,4,2,5,6,7,3]=>[1,4,7,2,5,6,3]=>([(1,2),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,5,6,7,3,1,4]=>[1,4,2,5,6,7,3]=>[1,4,7,2,5,6,3]=>([(1,2),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,5,6,7,3,4,1]=>[1,2,5,6,7,3,4]=>[1,2,7,3,5,6,4]=>([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,5,6,7,4,1,3]=>[1,3,2,5,6,7,4]=>[1,3,2,7,5,6,4]=>([(1,2),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,5,6,7,4,3,1]=>[1,2,5,6,7,3,4]=>[1,2,7,3,5,6,4]=>([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,5,7,1,3,4,6]=>[1,3,4,6,2,5,7]=>[1,6,3,4,2,5,7]=>([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,5,7,1,3,6,4]=>[1,3,6,2,5,7,4]=>[1,6,3,7,2,5,4]=>([(1,5),(1,6),(2,3),(2,4),(2,5),(3,4),(3,6),(4,6),(5,6)],7)
[2,5,7,1,4,3,6]=>[1,4,2,5,7,3,6]=>[1,4,7,2,5,3,6]=>([(1,6),(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7)
[2,5,7,1,4,6,3]=>[1,4,6,2,5,7,3]=>[1,6,7,4,2,5,3]=>([(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[2,5,7,1,6,3,4]=>[1,6,2,5,7,3,4]=>[1,6,7,3,2,5,4]=>([(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,5,7,1,6,4,3]=>[1,6,2,5,7,3,4]=>[1,6,7,3,2,5,4]=>([(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,5,7,3,1,4,6]=>[1,4,6,2,5,7,3]=>[1,6,7,4,2,5,3]=>([(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[2,5,7,3,1,6,4]=>[1,6,2,5,7,3,4]=>[1,6,7,3,2,5,4]=>([(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,5,7,3,4,1,6]=>[1,6,2,5,7,3,4]=>[1,6,7,3,2,5,4]=>([(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,5,7,3,4,6,1]=>[1,2,5,7,3,4,6]=>[1,2,7,3,5,4,6]=>([(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[2,5,7,3,6,1,4]=>[1,4,2,5,7,3,6]=>[1,4,7,2,5,3,6]=>([(1,6),(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7)
[2,5,7,3,6,4,1]=>[1,2,5,7,3,6,4]=>[1,2,7,6,5,3,4]=>([(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,5,7,4,1,3,6]=>[1,3,6,2,5,7,4]=>[1,6,3,7,2,5,4]=>([(1,5),(1,6),(2,3),(2,4),(2,5),(3,4),(3,6),(4,6),(5,6)],7)
[2,5,7,4,1,6,3]=>[1,6,2,5,7,3,4]=>[1,6,7,3,2,5,4]=>([(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,5,7,4,3,1,6]=>[1,6,2,5,7,3,4]=>[1,6,7,3,2,5,4]=>([(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,5,7,4,3,6,1]=>[1,2,5,7,3,6,4]=>[1,2,7,6,5,3,4]=>([(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,5,7,4,6,1,3]=>[1,3,2,5,7,4,6]=>[1,3,2,7,5,4,6]=>([(1,2),(3,6),(4,5),(4,6),(5,6)],7)
[2,5,7,4,6,3,1]=>[1,2,5,7,3,4,6]=>[1,2,7,3,5,4,6]=>([(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[2,5,7,6,1,3,4]=>[1,3,4,2,5,7,6]=>[1,4,3,2,5,7,6]=>([(2,3),(4,5),(4,6),(5,6)],7)
[2,5,7,6,1,4,3]=>[1,4,2,5,7,3,6]=>[1,4,7,2,5,3,6]=>([(1,6),(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7)
[2,5,7,6,3,1,4]=>[1,4,2,5,7,3,6]=>[1,4,7,2,5,3,6]=>([(1,6),(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7)
[2,5,7,6,3,4,1]=>[1,2,5,7,3,4,6]=>[1,2,7,3,5,4,6]=>([(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[2,5,7,6,4,1,3]=>[1,3,2,5,7,4,6]=>[1,3,2,7,5,4,6]=>([(1,2),(3,6),(4,5),(4,6),(5,6)],7)
[2,5,7,6,4,3,1]=>[1,2,5,7,3,4,6]=>[1,2,7,3,5,4,6]=>([(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[2,6,1,3,4,5,7]=>[1,3,4,5,7,2,6]=>[1,7,3,4,5,2,6]=>([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,6,1,3,4,7,5]=>[1,3,4,7,2,6,5]=>[1,7,3,4,6,2,5]=>([(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[2,6,1,3,5,4,7]=>[1,3,5,2,6,4,7]=>[1,5,3,6,2,4,7]=>([(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7)
[2,6,1,3,5,7,4]=>[1,3,5,7,2,6,4]=>[1,7,3,6,5,2,4]=>([(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,6,1,3,7,4,5]=>[1,3,7,2,6,4,5]=>[1,7,3,6,4,2,5]=>([(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,6,1,3,7,5,4]=>[1,3,7,2,6,4,5]=>[1,7,3,6,4,2,5]=>([(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,6,1,4,3,5,7]=>[1,4,2,6,3,5,7]=>[1,4,6,2,3,5,7]=>([(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[2,6,1,4,3,7,5]=>[1,4,2,6,3,7,5]=>[1,4,6,2,7,3,5]=>([(1,4),(1,6),(2,3),(2,6),(3,5),(4,5),(5,6)],7)
[2,6,1,4,5,3,7]=>[1,4,5,2,6,3,7]=>[1,5,6,4,2,3,7]=>([(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[2,6,1,4,5,7,3]=>[1,4,5,7,2,6,3]=>[1,7,6,4,5,2,3]=>([(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,6,1,4,7,3,5]=>[1,4,7,2,6,3,5]=>[1,7,6,4,3,2,5]=>([(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,6,1,4,7,5,3]=>[1,4,7,2,6,3,5]=>[1,7,6,4,3,2,5]=>([(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,6,1,5,3,4,7]=>[1,5,2,6,3,4,7]=>[1,5,6,3,2,4,7]=>([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[2,6,1,5,3,7,4]=>[1,5,2,6,3,7,4]=>[1,5,6,7,2,3,4]=>([(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)
[2,6,1,5,4,3,7]=>[1,5,2,6,3,7,4]=>[1,5,6,7,2,3,4]=>([(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)
[2,6,1,5,4,7,3]=>[1,5,2,6,3,4,7]=>[1,5,6,3,2,4,7]=>([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[2,6,1,5,7,3,4]=>[1,5,7,2,6,3,4]=>[1,7,6,3,5,2,4]=>([(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,6,1,5,7,4,3]=>[1,5,7,2,6,3,4]=>[1,7,6,3,5,2,4]=>([(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,6,1,7,3,4,5]=>[1,7,2,6,3,4,5]=>[1,7,6,3,4,2,5]=>([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,6,1,7,3,5,4]=>[1,7,2,6,3,5,4]=>[1,7,6,5,3,2,4]=>([(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,6,1,7,4,3,5]=>[1,7,2,6,3,5,4]=>[1,7,6,5,3,2,4]=>([(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,6,1,7,4,5,3]=>[1,7,2,6,3,4,5]=>[1,7,6,3,4,2,5]=>([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,6,1,7,5,3,4]=>[1,7,2,6,3,4,5]=>[1,7,6,3,4,2,5]=>([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,6,1,7,5,4,3]=>[1,7,2,6,3,4,5]=>[1,7,6,3,4,2,5]=>([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,6,3,1,4,5,7]=>[1,4,5,7,2,6,3]=>[1,7,6,4,5,2,3]=>([(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,6,3,1,4,7,5]=>[1,4,7,2,6,3,5]=>[1,7,6,4,3,2,5]=>([(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,6,3,1,5,4,7]=>[1,5,2,6,3,4,7]=>[1,5,6,3,2,4,7]=>([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[2,6,3,1,5,7,4]=>[1,5,7,2,6,3,4]=>[1,7,6,3,5,2,4]=>([(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,6,3,1,7,4,5]=>[1,7,2,6,3,4,5]=>[1,7,6,3,4,2,5]=>([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,6,3,1,7,5,4]=>[1,7,2,6,3,4,5]=>[1,7,6,3,4,2,5]=>([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,6,3,4,1,5,7]=>[1,5,7,2,6,3,4]=>[1,7,6,3,5,2,4]=>([(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,6,3,4,1,7,5]=>[1,7,2,6,3,4,5]=>[1,7,6,3,4,2,5]=>([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,6,3,4,5,1,7]=>[1,7,2,6,3,4,5]=>[1,7,6,3,4,2,5]=>([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,6,3,4,5,7,1]=>[1,2,6,3,4,5,7]=>[1,2,6,3,4,5,7]=>([(3,6),(4,6),(5,6)],7)
[2,6,3,4,7,1,5]=>[1,5,2,6,3,4,7]=>[1,5,6,3,2,4,7]=>([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[2,6,3,4,7,5,1]=>[1,2,6,3,4,7,5]=>[1,2,6,3,7,4,5]=>([(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[2,6,3,5,1,4,7]=>[1,4,7,2,6,3,5]=>[1,7,6,4,3,2,5]=>([(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,6,3,5,1,7,4]=>[1,7,2,6,3,5,4]=>[1,7,6,5,3,2,4]=>([(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,6,3,5,4,1,7]=>[1,7,2,6,3,5,4]=>[1,7,6,5,3,2,4]=>([(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,6,3,5,4,7,1]=>[1,2,6,3,5,4,7]=>[1,2,6,5,3,4,7]=>([(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,6,3,5,7,1,4]=>[1,4,2,6,3,5,7]=>[1,4,6,2,3,5,7]=>([(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[2,6,3,5,7,4,1]=>[1,2,6,3,5,7,4]=>[1,2,6,7,3,5,4]=>([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[2,6,3,7,1,4,5]=>[1,4,5,2,6,3,7]=>[1,5,6,4,2,3,7]=>([(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[2,6,3,7,1,5,4]=>[1,5,2,6,3,7,4]=>[1,5,6,7,2,3,4]=>([(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)
[2,6,3,7,4,1,5]=>[1,5,2,6,3,7,4]=>[1,5,6,7,2,3,4]=>([(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)
[2,6,3,7,4,5,1]=>[1,2,6,3,7,4,5]=>[1,2,6,7,4,3,5]=>([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[2,6,3,7,5,1,4]=>[1,4,2,6,3,7,5]=>[1,4,6,2,7,3,5]=>([(1,4),(1,6),(2,3),(2,6),(3,5),(4,5),(5,6)],7)
[2,6,3,7,5,4,1]=>[1,2,6,3,7,4,5]=>[1,2,6,7,4,3,5]=>([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[2,6,4,1,3,5,7]=>[1,3,5,7,2,6,4]=>[1,7,3,6,5,2,4]=>([(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,6,4,1,3,7,5]=>[1,3,7,2,6,4,5]=>[1,7,3,6,4,2,5]=>([(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,6,4,1,5,3,7]=>[1,5,2,6,3,7,4]=>[1,5,6,7,2,3,4]=>([(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)
[2,6,4,1,5,7,3]=>[1,5,7,2,6,3,4]=>[1,7,6,3,5,2,4]=>([(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,6,4,1,7,3,5]=>[1,7,2,6,3,5,4]=>[1,7,6,5,3,2,4]=>([(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,6,4,1,7,5,3]=>[1,7,2,6,3,4,5]=>[1,7,6,3,4,2,5]=>([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,6,4,3,1,5,7]=>[1,5,7,2,6,3,4]=>[1,7,6,3,5,2,4]=>([(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,6,4,3,1,7,5]=>[1,7,2,6,3,4,5]=>[1,7,6,3,4,2,5]=>([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,6,4,3,5,1,7]=>[1,7,2,6,3,5,4]=>[1,7,6,5,3,2,4]=>([(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,6,4,3,5,7,1]=>[1,2,6,3,5,7,4]=>[1,2,6,7,3,5,4]=>([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[2,6,4,3,7,1,5]=>[1,5,2,6,3,7,4]=>[1,5,6,7,2,3,4]=>([(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)
[2,6,4,3,7,5,1]=>[1,2,6,3,7,4,5]=>[1,2,6,7,4,3,5]=>([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[2,6,4,5,1,3,7]=>[1,3,7,2,6,4,5]=>[1,7,3,6,4,2,5]=>([(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,6,4,5,1,7,3]=>[1,7,2,6,3,4,5]=>[1,7,6,3,4,2,5]=>([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,6,4,5,3,1,7]=>[1,7,2,6,3,4,5]=>[1,7,6,3,4,2,5]=>([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,6,4,5,3,7,1]=>[1,2,6,3,7,4,5]=>[1,2,6,7,4,3,5]=>([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[2,6,4,5,7,1,3]=>[1,3,2,6,4,5,7]=>[1,3,2,6,4,5,7]=>([(2,3),(4,6),(5,6)],7)
[2,6,4,5,7,3,1]=>[1,2,6,3,4,5,7]=>[1,2,6,3,4,5,7]=>([(3,6),(4,6),(5,6)],7)
[2,6,4,7,1,3,5]=>[1,3,5,2,6,4,7]=>[1,5,3,6,2,4,7]=>([(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7)
[2,6,4,7,1,5,3]=>[1,5,2,6,3,4,7]=>[1,5,6,3,2,4,7]=>([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[2,6,4,7,3,1,5]=>[1,5,2,6,3,4,7]=>[1,5,6,3,2,4,7]=>([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[2,6,4,7,3,5,1]=>[1,2,6,3,5,4,7]=>[1,2,6,5,3,4,7]=>([(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,6,4,7,5,1,3]=>[1,3,2,6,4,7,5]=>[1,3,2,6,7,4,5]=>([(1,2),(3,5),(3,6),(4,5),(4,6)],7)
[2,6,4,7,5,3,1]=>[1,2,6,3,4,7,5]=>[1,2,6,3,7,4,5]=>([(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[2,6,5,1,3,4,7]=>[1,3,4,7,2,6,5]=>[1,7,3,4,6,2,5]=>([(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[2,6,5,1,3,7,4]=>[1,3,7,2,6,4,5]=>[1,7,3,6,4,2,5]=>([(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,6,5,1,4,3,7]=>[1,4,2,6,3,7,5]=>[1,4,6,2,7,3,5]=>([(1,4),(1,6),(2,3),(2,6),(3,5),(4,5),(5,6)],7)
[2,6,5,1,4,7,3]=>[1,4,7,2,6,3,5]=>[1,7,6,4,3,2,5]=>([(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,6,5,1,7,3,4]=>[1,7,2,6,3,4,5]=>[1,7,6,3,4,2,5]=>([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,6,5,1,7,4,3]=>[1,7,2,6,3,4,5]=>[1,7,6,3,4,2,5]=>([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,6,5,3,1,4,7]=>[1,4,7,2,6,3,5]=>[1,7,6,4,3,2,5]=>([(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,6,5,3,1,7,4]=>[1,7,2,6,3,4,5]=>[1,7,6,3,4,2,5]=>([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,6,5,3,4,1,7]=>[1,7,2,6,3,4,5]=>[1,7,6,3,4,2,5]=>([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,6,5,3,4,7,1]=>[1,2,6,3,4,7,5]=>[1,2,6,3,7,4,5]=>([(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[2,6,5,3,7,1,4]=>[1,4,2,6,3,7,5]=>[1,4,6,2,7,3,5]=>([(1,4),(1,6),(2,3),(2,6),(3,5),(4,5),(5,6)],7)
[2,6,5,3,7,4,1]=>[1,2,6,3,7,4,5]=>[1,2,6,7,4,3,5]=>([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[2,6,5,4,1,3,7]=>[1,3,7,2,6,4,5]=>[1,7,3,6,4,2,5]=>([(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,6,5,4,1,7,3]=>[1,7,2,6,3,4,5]=>[1,7,6,3,4,2,5]=>([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,6,5,4,3,1,7]=>[1,7,2,6,3,4,5]=>[1,7,6,3,4,2,5]=>([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,6,5,4,3,7,1]=>[1,2,6,3,7,4,5]=>[1,2,6,7,4,3,5]=>([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[2,6,5,4,7,1,3]=>[1,3,2,6,4,7,5]=>[1,3,2,6,7,4,5]=>([(1,2),(3,5),(3,6),(4,5),(4,6)],7)
[2,6,5,4,7,3,1]=>[1,2,6,3,4,7,5]=>[1,2,6,3,7,4,5]=>([(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[2,6,5,7,1,3,4]=>[1,3,4,2,6,5,7]=>[1,4,3,2,6,5,7]=>([(2,3),(4,5),(4,6),(5,6)],7)
[2,6,5,7,1,4,3]=>[1,4,2,6,3,5,7]=>[1,4,6,2,3,5,7]=>([(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[2,6,5,7,3,1,4]=>[1,4,2,6,3,5,7]=>[1,4,6,2,3,5,7]=>([(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[2,6,5,7,3,4,1]=>[1,2,6,3,4,5,7]=>[1,2,6,3,4,5,7]=>([(3,6),(4,6),(5,6)],7)
[2,6,5,7,4,1,3]=>[1,3,2,6,4,5,7]=>[1,3,2,6,4,5,7]=>([(2,3),(4,6),(5,6)],7)
[2,6,5,7,4,3,1]=>[1,2,6,3,4,5,7]=>[1,2,6,3,4,5,7]=>([(3,6),(4,6),(5,6)],7)
[2,6,7,1,3,4,5]=>[1,3,4,5,2,6,7]=>[1,5,3,4,2,6,7]=>([(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,6,7,1,3,5,4]=>[1,3,5,2,6,7,4]=>[1,5,3,7,2,6,4]=>([(1,5),(1,6),(2,3),(2,4),(3,4),(3,6),(4,5),(5,6)],7)
[2,6,7,1,4,3,5]=>[1,4,2,6,7,3,5]=>[1,4,7,2,3,6,5]=>([(1,4),(1,5),(2,3),(2,6),(3,6),(4,6),(5,6)],7)
[2,6,7,1,4,5,3]=>[1,4,5,2,6,7,3]=>[1,5,7,4,2,6,3]=>([(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
[2,6,7,1,5,3,4]=>[1,5,2,6,7,3,4]=>[1,5,7,3,2,6,4]=>([(1,5),(1,6),(2,3),(2,4),(2,5),(3,4),(3,6),(4,6),(5,6)],7)
[2,6,7,1,5,4,3]=>[1,5,2,6,7,3,4]=>[1,5,7,3,2,6,4]=>([(1,5),(1,6),(2,3),(2,4),(2,5),(3,4),(3,6),(4,6),(5,6)],7)
[2,6,7,3,1,4,5]=>[1,4,5,2,6,7,3]=>[1,5,7,4,2,6,3]=>([(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
[2,6,7,3,1,5,4]=>[1,5,2,6,7,3,4]=>[1,5,7,3,2,6,4]=>([(1,5),(1,6),(2,3),(2,4),(2,5),(3,4),(3,6),(4,6),(5,6)],7)
[2,6,7,3,4,1,5]=>[1,5,2,6,7,3,4]=>[1,5,7,3,2,6,4]=>([(1,5),(1,6),(2,3),(2,4),(2,5),(3,4),(3,6),(4,6),(5,6)],7)
[2,6,7,3,4,5,1]=>[1,2,6,7,3,4,5]=>[1,2,7,3,4,6,5]=>([(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[2,6,7,3,5,1,4]=>[1,4,2,6,7,3,5]=>[1,4,7,2,3,6,5]=>([(1,4),(1,5),(2,3),(2,6),(3,6),(4,6),(5,6)],7)
[2,6,7,3,5,4,1]=>[1,2,6,7,3,5,4]=>[1,2,7,5,3,6,4]=>([(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[2,6,7,4,1,3,5]=>[1,3,5,2,6,7,4]=>[1,5,3,7,2,6,4]=>([(1,5),(1,6),(2,3),(2,4),(3,4),(3,6),(4,5),(5,6)],7)
[2,6,7,4,1,5,3]=>[1,5,2,6,7,3,4]=>[1,5,7,3,2,6,4]=>([(1,5),(1,6),(2,3),(2,4),(2,5),(3,4),(3,6),(4,6),(5,6)],7)
[2,6,7,4,3,1,5]=>[1,5,2,6,7,3,4]=>[1,5,7,3,2,6,4]=>([(1,5),(1,6),(2,3),(2,4),(2,5),(3,4),(3,6),(4,6),(5,6)],7)
[2,6,7,4,3,5,1]=>[1,2,6,7,3,5,4]=>[1,2,7,5,3,6,4]=>([(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[2,6,7,4,5,1,3]=>[1,3,2,6,7,4,5]=>[1,3,2,7,4,6,5]=>([(1,2),(3,6),(4,5),(4,6),(5,6)],7)
[2,6,7,4,5,3,1]=>[1,2,6,7,3,4,5]=>[1,2,7,3,4,6,5]=>([(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[2,6,7,5,1,3,4]=>[1,3,4,2,6,7,5]=>[1,4,3,2,7,6,5]=>([(1,5),(1,6),(2,3),(2,4),(3,4),(5,6)],7)
[2,6,7,5,1,4,3]=>[1,4,2,6,7,3,5]=>[1,4,7,2,3,6,5]=>([(1,4),(1,5),(2,3),(2,6),(3,6),(4,6),(5,6)],7)
[2,6,7,5,3,1,4]=>[1,4,2,6,7,3,5]=>[1,4,7,2,3,6,5]=>([(1,4),(1,5),(2,3),(2,6),(3,6),(4,6),(5,6)],7)
[2,6,7,5,3,4,1]=>[1,2,6,7,3,4,5]=>[1,2,7,3,4,6,5]=>([(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[2,6,7,5,4,1,3]=>[1,3,2,6,7,4,5]=>[1,3,2,7,4,6,5]=>([(1,2),(3,6),(4,5),(4,6),(5,6)],7)
[2,6,7,5,4,3,1]=>[1,2,6,7,3,4,5]=>[1,2,7,3,4,6,5]=>([(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[2,7,1,3,4,5,6]=>[1,3,4,5,6,2,7]=>[1,6,3,4,5,2,7]=>([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,7,1,3,4,6,5]=>[1,3,4,6,2,7,5]=>[1,6,3,4,7,2,5]=>([(1,2),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,7,1,3,5,4,6]=>[1,3,5,2,7,4,6]=>[1,5,3,7,2,4,6]=>([(1,6),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
[2,7,1,3,5,6,4]=>[1,3,5,6,2,7,4]=>[1,6,3,7,5,2,4]=>([(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
[2,7,1,3,6,4,5]=>[1,3,6,2,7,4,5]=>[1,6,3,7,4,2,5]=>([(1,5),(1,6),(2,3),(2,5),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[2,7,1,3,6,5,4]=>[1,3,6,2,7,4,5]=>[1,6,3,7,4,2,5]=>([(1,5),(1,6),(2,3),(2,5),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[2,7,1,4,3,5,6]=>[1,4,2,7,3,5,6]=>[1,4,7,2,3,5,6]=>([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[2,7,1,4,3,6,5]=>[1,4,2,7,3,6,5]=>[1,4,7,2,6,3,5]=>([(1,2),(1,6),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,7,1,4,5,3,6]=>[1,4,5,2,7,3,6]=>[1,5,7,4,2,3,6]=>([(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,7,1,4,5,6,3]=>[1,4,5,6,2,7,3]=>[1,6,7,4,5,2,3]=>([(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,7,1,4,6,3,5]=>[1,4,6,2,7,3,5]=>[1,6,7,4,3,2,5]=>([(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[2,7,1,4,6,5,3]=>[1,4,6,2,7,3,5]=>[1,6,7,4,3,2,5]=>([(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[2,7,1,5,3,4,6]=>[1,5,2,7,3,4,6]=>[1,5,7,3,2,4,6]=>([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[2,7,1,5,3,6,4]=>[1,5,2,7,3,6,4]=>[1,5,7,6,2,3,4]=>([(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,7,1,5,4,3,6]=>[1,5,2,7,3,6,4]=>[1,5,7,6,2,3,4]=>([(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,7,1,5,4,6,3]=>[1,5,2,7,3,4,6]=>[1,5,7,3,2,4,6]=>([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[2,7,1,5,6,3,4]=>[1,5,6,2,7,3,4]=>[1,6,7,3,5,2,4]=>([(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[2,7,1,5,6,4,3]=>[1,5,6,2,7,3,4]=>[1,6,7,3,5,2,4]=>([(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[2,7,1,6,3,4,5]=>[1,6,2,7,3,4,5]=>[1,6,7,3,4,2,5]=>([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[2,7,1,6,3,5,4]=>[1,6,2,7,3,5,4]=>[1,6,7,5,3,2,4]=>([(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[2,7,1,6,4,3,5]=>[1,6,2,7,3,5,4]=>[1,6,7,5,3,2,4]=>([(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[2,7,1,6,4,5,3]=>[1,6,2,7,3,4,5]=>[1,6,7,3,4,2,5]=>([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[2,7,1,6,5,3,4]=>[1,6,2,7,3,4,5]=>[1,6,7,3,4,2,5]=>([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[2,7,1,6,5,4,3]=>[1,6,2,7,3,4,5]=>[1,6,7,3,4,2,5]=>([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[2,7,3,1,4,5,6]=>[1,4,5,6,2,7,3]=>[1,6,7,4,5,2,3]=>([(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[2,7,3,1,4,6,5]=>[1,4,6,2,7,3,5]=>[1,6,7,4,3,2,5]=>([(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[2,7,3,1,5,4,6]=>[1,5,2,7,3,4,6]=>[1,5,7,3,2,4,6]=>([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[2,7,3,1,5,6,4]=>[1,5,6,2,7,3,4]=>[1,6,7,3,5,2,4]=>([(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[2,7,3,1,6,4,5]=>[1,6,2,7,3,4,5]=>[1,6,7,3,4,2,5]=>([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[2,7,3,1,6,5,4]=>[1,6,2,7,3,4,5]=>[1,6,7,3,4,2,5]=>([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[2,7,3,4,1,5,6]=>[1,5,6,2,7,3,4]=>[1,6,7,3,5,2,4]=>([(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[2,7,3,4,1,6,5]=>[1,6,2,7,3,4,5]=>[1,6,7,3,4,2,5]=>([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[2,7,3,4,5,1,6]=>[1,6,2,7,3,4,5]=>[1,6,7,3,4,2,5]=>([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[2,7,3,4,5,6,1]=>[1,2,7,3,4,5,6]=>[1,2,7,3,4,5,6]=>([(2,6),(3,6),(4,6),(5,6)],7)
[2,7,3,4,6,1,5]=>[1,5,2,7,3,4,6]=>[1,5,7,3,2,4,6]=>([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[2,7,3,4,6,5,1]=>[1,2,7,3,4,6,5]=>[1,2,7,3,6,4,5]=>([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,7,3,5,1,4,6]=>[1,4,6,2,7,3,5]=>[1,6,7,4,3,2,5]=>([(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[2,7,3,5,1,6,4]=>[1,6,2,7,3,5,4]=>[1,6,7,5,3,2,4]=>([(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[2,7,3,5,4,1,6]=>[1,6,2,7,3,5,4]=>[1,6,7,5,3,2,4]=>([(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[2,7,3,5,4,6,1]=>[1,2,7,3,5,4,6]=>[1,2,7,5,3,4,6]=>([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,7,3,5,6,1,4]=>[1,4,2,7,3,5,6]=>[1,4,7,2,3,5,6]=>([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[2,7,3,5,6,4,1]=>[1,2,7,3,5,6,4]=>[1,2,7,6,3,5,4]=>([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,7,3,6,1,4,5]=>[1,4,5,2,7,3,6]=>[1,5,7,4,2,3,6]=>([(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,7,3,6,1,5,4]=>[1,5,2,7,3,6,4]=>[1,5,7,6,2,3,4]=>([(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,7,3,6,4,1,5]=>[1,5,2,7,3,6,4]=>[1,5,7,6,2,3,4]=>([(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,7,3,6,4,5,1]=>[1,2,7,3,6,4,5]=>[1,2,7,6,4,3,5]=>([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,7,3,6,5,1,4]=>[1,4,2,7,3,6,5]=>[1,4,7,2,6,3,5]=>([(1,2),(1,6),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,7,3,6,5,4,1]=>[1,2,7,3,6,4,5]=>[1,2,7,6,4,3,5]=>([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,7,4,1,3,5,6]=>[1,3,5,6,2,7,4]=>[1,6,3,7,5,2,4]=>([(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
[2,7,4,1,3,6,5]=>[1,3,6,2,7,4,5]=>[1,6,3,7,4,2,5]=>([(1,5),(1,6),(2,3),(2,5),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[2,7,4,1,5,3,6]=>[1,5,2,7,3,6,4]=>[1,5,7,6,2,3,4]=>([(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,7,4,1,5,6,3]=>[1,5,6,2,7,3,4]=>[1,6,7,3,5,2,4]=>([(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[2,7,4,1,6,3,5]=>[1,6,2,7,3,5,4]=>[1,6,7,5,3,2,4]=>([(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[2,7,4,1,6,5,3]=>[1,6,2,7,3,4,5]=>[1,6,7,3,4,2,5]=>([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[2,7,4,3,1,5,6]=>[1,5,6,2,7,3,4]=>[1,6,7,3,5,2,4]=>([(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[2,7,4,3,1,6,5]=>[1,6,2,7,3,4,5]=>[1,6,7,3,4,2,5]=>([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[2,7,4,3,5,1,6]=>[1,6,2,7,3,5,4]=>[1,6,7,5,3,2,4]=>([(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[2,7,4,3,5,6,1]=>[1,2,7,3,5,6,4]=>[1,2,7,6,3,5,4]=>([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,7,4,3,6,1,5]=>[1,5,2,7,3,6,4]=>[1,5,7,6,2,3,4]=>([(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,7,4,3,6,5,1]=>[1,2,7,3,6,4,5]=>[1,2,7,6,4,3,5]=>([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,7,4,5,1,3,6]=>[1,3,6,2,7,4,5]=>[1,6,3,7,4,2,5]=>([(1,5),(1,6),(2,3),(2,5),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[2,7,4,5,1,6,3]=>[1,6,2,7,3,4,5]=>[1,6,7,3,4,2,5]=>([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[2,7,4,5,3,1,6]=>[1,6,2,7,3,4,5]=>[1,6,7,3,4,2,5]=>([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[2,7,4,5,3,6,1]=>[1,2,7,3,6,4,5]=>[1,2,7,6,4,3,5]=>([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,7,4,5,6,1,3]=>[1,3,2,7,4,5,6]=>[1,3,2,7,4,5,6]=>([(1,2),(3,6),(4,6),(5,6)],7)
[2,7,4,5,6,3,1]=>[1,2,7,3,4,5,6]=>[1,2,7,3,4,5,6]=>([(2,6),(3,6),(4,6),(5,6)],7)
[2,7,4,6,1,3,5]=>[1,3,5,2,7,4,6]=>[1,5,3,7,2,4,6]=>([(1,6),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
[2,7,4,6,1,5,3]=>[1,5,2,7,3,4,6]=>[1,5,7,3,2,4,6]=>([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[2,7,4,6,3,1,5]=>[1,5,2,7,3,4,6]=>[1,5,7,3,2,4,6]=>([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[2,7,4,6,3,5,1]=>[1,2,7,3,5,4,6]=>[1,2,7,5,3,4,6]=>([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,7,4,6,5,1,3]=>[1,3,2,7,4,6,5]=>[1,3,2,7,6,4,5]=>([(1,2),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,7,4,6,5,3,1]=>[1,2,7,3,4,6,5]=>[1,2,7,3,6,4,5]=>([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,7,5,1,3,4,6]=>[1,3,4,6,2,7,5]=>[1,6,3,4,7,2,5]=>([(1,2),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,7,5,1,3,6,4]=>[1,3,6,2,7,4,5]=>[1,6,3,7,4,2,5]=>([(1,5),(1,6),(2,3),(2,5),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[2,7,5,1,4,3,6]=>[1,4,2,7,3,6,5]=>[1,4,7,2,6,3,5]=>([(1,2),(1,6),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,7,5,1,4,6,3]=>[1,4,6,2,7,3,5]=>[1,6,7,4,3,2,5]=>([(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[2,7,5,1,6,3,4]=>[1,6,2,7,3,4,5]=>[1,6,7,3,4,2,5]=>([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[2,7,5,1,6,4,3]=>[1,6,2,7,3,4,5]=>[1,6,7,3,4,2,5]=>([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[2,7,5,3,1,4,6]=>[1,4,6,2,7,3,5]=>[1,6,7,4,3,2,5]=>([(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[2,7,5,3,1,6,4]=>[1,6,2,7,3,4,5]=>[1,6,7,3,4,2,5]=>([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[2,7,5,3,4,1,6]=>[1,6,2,7,3,4,5]=>[1,6,7,3,4,2,5]=>([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[2,7,5,3,4,6,1]=>[1,2,7,3,4,6,5]=>[1,2,7,3,6,4,5]=>([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,7,5,3,6,1,4]=>[1,4,2,7,3,6,5]=>[1,4,7,2,6,3,5]=>([(1,2),(1,6),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,7,5,3,6,4,1]=>[1,2,7,3,6,4,5]=>[1,2,7,6,4,3,5]=>([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,7,5,4,1,3,6]=>[1,3,6,2,7,4,5]=>[1,6,3,7,4,2,5]=>([(1,5),(1,6),(2,3),(2,5),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[2,7,5,4,1,6,3]=>[1,6,2,7,3,4,5]=>[1,6,7,3,4,2,5]=>([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[2,7,5,4,3,1,6]=>[1,6,2,7,3,4,5]=>[1,6,7,3,4,2,5]=>([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[2,7,5,4,3,6,1]=>[1,2,7,3,6,4,5]=>[1,2,7,6,4,3,5]=>([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,7,5,4,6,1,3]=>[1,3,2,7,4,6,5]=>[1,3,2,7,6,4,5]=>([(1,2),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,7,5,4,6,3,1]=>[1,2,7,3,4,6,5]=>[1,2,7,3,6,4,5]=>([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,7,5,6,1,3,4]=>[1,3,4,2,7,5,6]=>[1,4,3,2,7,5,6]=>([(1,6),(2,6),(3,4),(3,5),(4,5)],7)
[2,7,5,6,1,4,3]=>[1,4,2,7,3,5,6]=>[1,4,7,2,3,5,6]=>([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[2,7,5,6,3,1,4]=>[1,4,2,7,3,5,6]=>[1,4,7,2,3,5,6]=>([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[2,7,5,6,3,4,1]=>[1,2,7,3,4,5,6]=>[1,2,7,3,4,5,6]=>([(2,6),(3,6),(4,6),(5,6)],7)
[2,7,5,6,4,1,3]=>[1,3,2,7,4,5,6]=>[1,3,2,7,4,5,6]=>([(1,2),(3,6),(4,6),(5,6)],7)
[2,7,5,6,4,3,1]=>[1,2,7,3,4,5,6]=>[1,2,7,3,4,5,6]=>([(2,6),(3,6),(4,6),(5,6)],7)
[2,7,6,1,3,4,5]=>[1,3,4,5,2,7,6]=>[1,5,3,4,2,7,6]=>([(1,2),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,7,6,1,3,5,4]=>[1,3,5,2,7,4,6]=>[1,5,3,7,2,4,6]=>([(1,6),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
[2,7,6,1,4,3,5]=>[1,4,2,7,3,5,6]=>[1,4,7,2,3,5,6]=>([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[2,7,6,1,4,5,3]=>[1,4,5,2,7,3,6]=>[1,5,7,4,2,3,6]=>([(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,7,6,1,5,3,4]=>[1,5,2,7,3,4,6]=>[1,5,7,3,2,4,6]=>([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[2,7,6,1,5,4,3]=>[1,5,2,7,3,4,6]=>[1,5,7,3,2,4,6]=>([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[2,7,6,3,1,4,5]=>[1,4,5,2,7,3,6]=>[1,5,7,4,2,3,6]=>([(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,7,6,3,1,5,4]=>[1,5,2,7,3,4,6]=>[1,5,7,3,2,4,6]=>([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[2,7,6,3,4,1,5]=>[1,5,2,7,3,4,6]=>[1,5,7,3,2,4,6]=>([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[2,7,6,3,4,5,1]=>[1,2,7,3,4,5,6]=>[1,2,7,3,4,5,6]=>([(2,6),(3,6),(4,6),(5,6)],7)
[2,7,6,3,5,1,4]=>[1,4,2,7,3,5,6]=>[1,4,7,2,3,5,6]=>([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[2,7,6,3,5,4,1]=>[1,2,7,3,5,4,6]=>[1,2,7,5,3,4,6]=>([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,7,6,4,1,3,5]=>[1,3,5,2,7,4,6]=>[1,5,3,7,2,4,6]=>([(1,6),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
[2,7,6,4,1,5,3]=>[1,5,2,7,3,4,6]=>[1,5,7,3,2,4,6]=>([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[2,7,6,4,3,1,5]=>[1,5,2,7,3,4,6]=>[1,5,7,3,2,4,6]=>([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[2,7,6,4,3,5,1]=>[1,2,7,3,5,4,6]=>[1,2,7,5,3,4,6]=>([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[2,7,6,4,5,1,3]=>[1,3,2,7,4,5,6]=>[1,3,2,7,4,5,6]=>([(1,2),(3,6),(4,6),(5,6)],7)
[2,7,6,4,5,3,1]=>[1,2,7,3,4,5,6]=>[1,2,7,3,4,5,6]=>([(2,6),(3,6),(4,6),(5,6)],7)
[2,7,6,5,1,3,4]=>[1,3,4,2,7,5,6]=>[1,4,3,2,7,5,6]=>([(1,6),(2,6),(3,4),(3,5),(4,5)],7)
[2,7,6,5,1,4,3]=>[1,4,2,7,3,5,6]=>[1,4,7,2,3,5,6]=>([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[2,7,6,5,3,1,4]=>[1,4,2,7,3,5,6]=>[1,4,7,2,3,5,6]=>([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[2,7,6,5,3,4,1]=>[1,2,7,3,4,5,6]=>[1,2,7,3,4,5,6]=>([(2,6),(3,6),(4,6),(5,6)],7)
[2,7,6,5,4,1,3]=>[1,3,2,7,4,5,6]=>[1,3,2,7,4,5,6]=>([(1,2),(3,6),(4,6),(5,6)],7)
[2,7,6,5,4,3,1]=>[1,2,7,3,4,5,6]=>[1,2,7,3,4,5,6]=>([(2,6),(3,6),(4,6),(5,6)],7)
[3,1,2,4,5,6,7]=>[1,2,4,5,6,7,3]=>[1,2,7,4,5,6,3]=>([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,1,2,4,5,7,6]=>[1,2,4,5,7,3,6]=>[1,2,7,4,5,3,6]=>([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,1,2,4,6,5,7]=>[1,2,4,6,3,5,7]=>[1,2,6,4,3,5,7]=>([(3,6),(4,5),(4,6),(5,6)],7)
[3,1,2,4,6,7,5]=>[1,2,4,6,7,3,5]=>[1,2,7,4,3,6,5]=>([(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7)
[3,1,2,4,7,5,6]=>[1,2,4,7,3,5,6]=>[1,2,7,4,3,5,6]=>([(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[3,1,2,4,7,6,5]=>[1,2,4,7,3,5,6]=>[1,2,7,4,3,5,6]=>([(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[3,1,2,5,4,6,7]=>[1,2,5,3,4,6,7]=>[1,2,5,3,4,6,7]=>([(4,6),(5,6)],7)
[3,1,2,5,4,7,6]=>[1,2,5,3,4,7,6]=>[1,2,5,3,4,7,6]=>([(2,3),(4,6),(5,6)],7)
[3,1,2,5,6,4,7]=>[1,2,5,6,3,4,7]=>[1,2,6,3,5,4,7]=>([(3,6),(4,5),(4,6),(5,6)],7)
[3,1,2,5,6,7,4]=>[1,2,5,6,7,3,4]=>[1,2,7,3,5,6,4]=>([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,1,2,5,7,4,6]=>[1,2,5,7,3,4,6]=>[1,2,7,3,5,4,6]=>([(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[3,1,2,5,7,6,4]=>[1,2,5,7,3,4,6]=>[1,2,7,3,5,4,6]=>([(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[3,1,2,6,4,5,7]=>[1,2,6,3,4,5,7]=>[1,2,6,3,4,5,7]=>([(3,6),(4,6),(5,6)],7)
[3,1,2,6,4,7,5]=>[1,2,6,3,4,7,5]=>[1,2,6,3,7,4,5]=>([(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[3,1,2,6,5,4,7]=>[1,2,6,3,4,7,5]=>[1,2,6,3,7,4,5]=>([(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[3,1,2,6,5,7,4]=>[1,2,6,3,4,5,7]=>[1,2,6,3,4,5,7]=>([(3,6),(4,6),(5,6)],7)
[3,1,2,6,7,4,5]=>[1,2,6,7,3,4,5]=>[1,2,7,3,4,6,5]=>([(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[3,1,2,6,7,5,4]=>[1,2,6,7,3,4,5]=>[1,2,7,3,4,6,5]=>([(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[3,1,2,7,4,5,6]=>[1,2,7,3,4,5,6]=>[1,2,7,3,4,5,6]=>([(2,6),(3,6),(4,6),(5,6)],7)
[3,1,2,7,4,6,5]=>[1,2,7,3,4,6,5]=>[1,2,7,3,6,4,5]=>([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,1,2,7,5,4,6]=>[1,2,7,3,4,6,5]=>[1,2,7,3,6,4,5]=>([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,1,2,7,5,6,4]=>[1,2,7,3,4,5,6]=>[1,2,7,3,4,5,6]=>([(2,6),(3,6),(4,6),(5,6)],7)
[3,1,2,7,6,4,5]=>[1,2,7,3,4,5,6]=>[1,2,7,3,4,5,6]=>([(2,6),(3,6),(4,6),(5,6)],7)
[3,1,2,7,6,5,4]=>[1,2,7,3,4,5,6]=>[1,2,7,3,4,5,6]=>([(2,6),(3,6),(4,6),(5,6)],7)
[3,1,4,2,5,6,7]=>[1,4,2,5,6,7,3]=>[1,4,7,2,5,6,3]=>([(1,2),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,1,4,2,5,7,6]=>[1,4,2,5,7,3,6]=>[1,4,7,2,5,3,6]=>([(1,6),(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7)
[3,1,4,2,6,5,7]=>[1,4,2,6,3,5,7]=>[1,4,6,2,3,5,7]=>([(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[3,1,4,2,6,7,5]=>[1,4,2,6,7,3,5]=>[1,4,7,2,3,6,5]=>([(1,4),(1,5),(2,3),(2,6),(3,6),(4,6),(5,6)],7)
[3,1,4,2,7,5,6]=>[1,4,2,7,3,5,6]=>[1,4,7,2,3,5,6]=>([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[3,1,4,2,7,6,5]=>[1,4,2,7,3,5,6]=>[1,4,7,2,3,5,6]=>([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[3,1,4,5,2,6,7]=>[1,4,5,2,6,7,3]=>[1,5,7,4,2,6,3]=>([(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
[3,1,4,5,2,7,6]=>[1,4,5,2,7,3,6]=>[1,5,7,4,2,3,6]=>([(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,1,4,5,6,2,7]=>[1,4,5,6,2,7,3]=>[1,6,7,4,5,2,3]=>([(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[3,1,4,5,6,7,2]=>[1,4,5,6,7,2,3]=>[1,7,2,4,5,6,3]=>([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,1,4,5,7,2,6]=>[1,4,5,7,2,6,3]=>[1,7,6,4,5,2,3]=>([(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,1,4,5,7,6,2]=>[1,4,5,7,2,3,6]=>[1,7,2,4,5,3,6]=>([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,1,4,6,2,5,7]=>[1,4,6,2,5,7,3]=>[1,6,7,4,2,5,3]=>([(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[3,1,4,6,2,7,5]=>[1,4,6,2,7,3,5]=>[1,6,7,4,3,2,5]=>([(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[3,1,4,6,5,2,7]=>[1,4,6,2,7,3,5]=>[1,6,7,4,3,2,5]=>([(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[3,1,4,6,5,7,2]=>[1,4,6,2,3,5,7]=>[1,6,2,4,3,5,7]=>([(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[3,1,4,6,7,2,5]=>[1,4,6,7,2,5,3]=>[1,7,5,4,2,6,3]=>([(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,1,4,6,7,5,2]=>[1,4,6,7,2,3,5]=>[1,7,2,4,3,6,5]=>([(1,6),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7)
[3,1,4,7,2,5,6]=>[1,4,7,2,5,6,3]=>[1,7,6,4,2,5,3]=>([(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,1,4,7,2,6,5]=>[1,4,7,2,6,3,5]=>[1,7,6,4,3,2,5]=>([(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,1,4,7,5,2,6]=>[1,4,7,2,6,3,5]=>[1,7,6,4,3,2,5]=>([(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,1,4,7,5,6,2]=>[1,4,7,2,3,5,6]=>[1,7,2,4,3,5,6]=>([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[3,1,4,7,6,2,5]=>[1,4,7,2,5,3,6]=>[1,7,5,4,2,3,6]=>([(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,1,4,7,6,5,2]=>[1,4,7,2,3,5,6]=>[1,7,2,4,3,5,6]=>([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[3,1,5,2,4,6,7]=>[1,5,2,4,6,7,3]=>[1,5,7,2,4,6,3]=>([(1,5),(1,6),(2,3),(2,5),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[3,1,5,2,4,7,6]=>[1,5,2,4,7,3,6]=>[1,5,7,2,4,3,6]=>([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[3,1,5,2,6,4,7]=>[1,5,2,6,3,4,7]=>[1,5,6,3,2,4,7]=>([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[3,1,5,2,6,7,4]=>[1,5,2,6,7,3,4]=>[1,5,7,3,2,6,4]=>([(1,5),(1,6),(2,3),(2,4),(2,5),(3,4),(3,6),(4,6),(5,6)],7)
[3,1,5,2,7,4,6]=>[1,5,2,7,3,4,6]=>[1,5,7,3,2,4,6]=>([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[3,1,5,2,7,6,4]=>[1,5,2,7,3,4,6]=>[1,5,7,3,2,4,6]=>([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[3,1,5,4,2,6,7]=>[1,5,2,6,7,3,4]=>[1,5,7,3,2,6,4]=>([(1,5),(1,6),(2,3),(2,4),(2,5),(3,4),(3,6),(4,6),(5,6)],7)
[3,1,5,4,2,7,6]=>[1,5,2,7,3,4,6]=>[1,5,7,3,2,4,6]=>([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[3,1,5,4,6,2,7]=>[1,5,2,7,3,4,6]=>[1,5,7,3,2,4,6]=>([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[3,1,5,4,6,7,2]=>[1,5,2,3,4,6,7]=>[1,5,2,3,4,6,7]=>([(3,6),(4,6),(5,6)],7)
[3,1,5,4,7,2,6]=>[1,5,2,6,3,4,7]=>[1,5,6,3,2,4,7]=>([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[3,1,5,4,7,6,2]=>[1,5,2,3,4,7,6]=>[1,5,2,3,4,7,6]=>([(1,2),(3,6),(4,6),(5,6)],7)
[3,1,5,6,2,4,7]=>[1,5,6,2,4,7,3]=>[1,6,7,2,5,4,3]=>([(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[3,1,5,6,2,7,4]=>[1,5,6,2,7,3,4]=>[1,6,7,3,5,2,4]=>([(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[3,1,5,6,4,2,7]=>[1,5,6,2,7,3,4]=>[1,6,7,3,5,2,4]=>([(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[3,1,5,6,4,7,2]=>[1,5,6,2,3,4,7]=>[1,6,2,3,5,4,7]=>([(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[3,1,5,6,7,2,4]=>[1,5,6,7,2,4,3]=>[1,7,4,2,5,6,3]=>([(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[3,1,5,6,7,4,2]=>[1,5,6,7,2,3,4]=>[1,7,2,3,5,6,4]=>([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,1,5,7,2,4,6]=>[1,5,7,2,4,6,3]=>[1,7,6,2,5,4,3]=>([(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,1,5,7,2,6,4]=>[1,5,7,2,6,3,4]=>[1,7,6,3,5,2,4]=>([(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,1,5,7,4,2,6]=>[1,5,7,2,6,3,4]=>[1,7,6,3,5,2,4]=>([(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,1,5,7,4,6,2]=>[1,5,7,2,3,4,6]=>[1,7,2,3,5,4,6]=>([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[3,1,5,7,6,2,4]=>[1,5,7,2,4,3,6]=>[1,7,4,2,5,3,6]=>([(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[3,1,5,7,6,4,2]=>[1,5,7,2,3,4,6]=>[1,7,2,3,5,4,6]=>([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[3,1,6,2,4,5,7]=>[1,6,2,4,5,7,3]=>[1,6,7,2,4,5,3]=>([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[3,1,6,2,4,7,5]=>[1,6,2,4,7,3,5]=>[1,6,7,2,3,4,5]=>([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[3,1,6,2,5,4,7]=>[1,6,2,5,3,4,7]=>[1,6,5,3,2,4,7]=>([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,1,6,2,5,7,4]=>[1,6,2,5,7,3,4]=>[1,6,7,3,2,5,4]=>([(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[3,1,6,2,7,4,5]=>[1,6,2,7,3,4,5]=>[1,6,7,3,4,2,5]=>([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[3,1,6,2,7,5,4]=>[1,6,2,7,3,4,5]=>[1,6,7,3,4,2,5]=>([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[3,1,6,4,2,5,7]=>[1,6,2,5,7,3,4]=>[1,6,7,3,2,5,4]=>([(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[3,1,6,4,2,7,5]=>[1,6,2,7,3,4,5]=>[1,6,7,3,4,2,5]=>([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[3,1,6,4,5,2,7]=>[1,6,2,7,3,4,5]=>[1,6,7,3,4,2,5]=>([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[3,1,6,4,5,7,2]=>[1,6,2,3,4,5,7]=>[1,6,2,3,4,5,7]=>([(2,6),(3,6),(4,6),(5,6)],7)
[3,1,6,4,7,2,5]=>[1,6,2,5,3,4,7]=>[1,6,5,3,2,4,7]=>([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,1,6,4,7,5,2]=>[1,6,2,3,4,7,5]=>[1,6,2,3,7,4,5]=>([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[3,1,6,5,2,4,7]=>[1,6,2,4,7,3,5]=>[1,6,7,2,3,4,5]=>([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[3,1,6,5,2,7,4]=>[1,6,2,7,3,4,5]=>[1,6,7,3,4,2,5]=>([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[3,1,6,5,4,2,7]=>[1,6,2,7,3,4,5]=>[1,6,7,3,4,2,5]=>([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[3,1,6,5,4,7,2]=>[1,6,2,3,4,7,5]=>[1,6,2,3,7,4,5]=>([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[3,1,6,5,7,2,4]=>[1,6,2,4,3,5,7]=>[1,6,4,2,3,5,7]=>([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,1,6,5,7,4,2]=>[1,6,2,3,4,5,7]=>[1,6,2,3,4,5,7]=>([(2,6),(3,6),(4,6),(5,6)],7)
[3,1,6,7,2,4,5]=>[1,6,7,2,4,5,3]=>[1,7,5,2,4,6,3]=>([(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,1,6,7,2,5,4]=>[1,6,7,2,5,3,4]=>[1,7,5,3,2,6,4]=>([(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,1,6,7,4,2,5]=>[1,6,7,2,5,3,4]=>[1,7,5,3,2,6,4]=>([(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,1,6,7,4,5,2]=>[1,6,7,2,3,4,5]=>[1,7,2,3,4,6,5]=>([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[3,1,6,7,5,2,4]=>[1,6,7,2,4,3,5]=>[1,7,4,2,3,6,5]=>([(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,1,6,7,5,4,2]=>[1,6,7,2,3,4,5]=>[1,7,2,3,4,6,5]=>([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[3,1,7,2,4,5,6]=>[1,7,2,4,5,6,3]=>[1,7,6,2,4,5,3]=>([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,1,7,2,4,6,5]=>[1,7,2,4,6,3,5]=>[1,7,6,2,3,4,5]=>([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,1,7,2,5,4,6]=>[1,7,2,5,3,4,6]=>[1,7,5,3,2,4,6]=>([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,1,7,2,5,6,4]=>[1,7,2,5,6,3,4]=>[1,7,6,3,2,5,4]=>([(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,1,7,2,6,4,5]=>[1,7,2,6,3,4,5]=>[1,7,6,3,4,2,5]=>([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,1,7,2,6,5,4]=>[1,7,2,6,3,4,5]=>[1,7,6,3,4,2,5]=>([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,1,7,4,2,5,6]=>[1,7,2,5,6,3,4]=>[1,7,6,3,2,5,4]=>([(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,1,7,4,2,6,5]=>[1,7,2,6,3,4,5]=>[1,7,6,3,4,2,5]=>([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,1,7,4,5,2,6]=>[1,7,2,6,3,4,5]=>[1,7,6,3,4,2,5]=>([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,1,7,4,5,6,2]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[3,1,7,4,6,2,5]=>[1,7,2,5,3,4,6]=>[1,7,5,3,2,4,6]=>([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,1,7,4,6,5,2]=>[1,7,2,3,4,6,5]=>[1,7,2,3,6,4,5]=>([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,1,7,5,2,4,6]=>[1,7,2,4,6,3,5]=>[1,7,6,2,3,4,5]=>([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,1,7,5,2,6,4]=>[1,7,2,6,3,4,5]=>[1,7,6,3,4,2,5]=>([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,1,7,5,4,2,6]=>[1,7,2,6,3,4,5]=>[1,7,6,3,4,2,5]=>([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,1,7,5,4,6,2]=>[1,7,2,3,4,6,5]=>[1,7,2,3,6,4,5]=>([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,1,7,5,6,2,4]=>[1,7,2,4,3,5,6]=>[1,7,4,2,3,5,6]=>([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,1,7,5,6,4,2]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[3,1,7,6,2,4,5]=>[1,7,2,4,5,3,6]=>[1,7,5,2,4,3,6]=>([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,1,7,6,2,5,4]=>[1,7,2,5,3,4,6]=>[1,7,5,3,2,4,6]=>([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,1,7,6,4,2,5]=>[1,7,2,5,3,4,6]=>[1,7,5,3,2,4,6]=>([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,1,7,6,4,5,2]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[3,1,7,6,5,2,4]=>[1,7,2,4,3,5,6]=>[1,7,4,2,3,5,6]=>([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,1,7,6,5,4,2]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[3,2,1,4,5,6,7]=>[1,4,5,6,7,2,3]=>[1,7,2,4,5,6,3]=>([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,2,1,4,5,7,6]=>[1,4,5,7,2,3,6]=>[1,7,2,4,5,3,6]=>([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,2,1,4,6,5,7]=>[1,4,6,2,3,5,7]=>[1,6,2,4,3,5,7]=>([(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[3,2,1,4,6,7,5]=>[1,4,6,7,2,3,5]=>[1,7,2,4,3,6,5]=>([(1,6),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7)
[3,2,1,4,7,5,6]=>[1,4,7,2,3,5,6]=>[1,7,2,4,3,5,6]=>([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[3,2,1,4,7,6,5]=>[1,4,7,2,3,5,6]=>[1,7,2,4,3,5,6]=>([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[3,2,1,5,4,6,7]=>[1,5,2,3,4,6,7]=>[1,5,2,3,4,6,7]=>([(3,6),(4,6),(5,6)],7)
[3,2,1,5,4,7,6]=>[1,5,2,3,4,7,6]=>[1,5,2,3,4,7,6]=>([(1,2),(3,6),(4,6),(5,6)],7)
[3,2,1,5,6,4,7]=>[1,5,6,2,3,4,7]=>[1,6,2,3,5,4,7]=>([(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[3,2,1,5,6,7,4]=>[1,5,6,7,2,3,4]=>[1,7,2,3,5,6,4]=>([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,2,1,5,7,4,6]=>[1,5,7,2,3,4,6]=>[1,7,2,3,5,4,6]=>([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[3,2,1,5,7,6,4]=>[1,5,7,2,3,4,6]=>[1,7,2,3,5,4,6]=>([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[3,2,1,6,4,5,7]=>[1,6,2,3,4,5,7]=>[1,6,2,3,4,5,7]=>([(2,6),(3,6),(4,6),(5,6)],7)
[3,2,1,6,4,7,5]=>[1,6,2,3,4,7,5]=>[1,6,2,3,7,4,5]=>([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[3,2,1,6,5,4,7]=>[1,6,2,3,4,7,5]=>[1,6,2,3,7,4,5]=>([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[3,2,1,6,5,7,4]=>[1,6,2,3,4,5,7]=>[1,6,2,3,4,5,7]=>([(2,6),(3,6),(4,6),(5,6)],7)
[3,2,1,6,7,4,5]=>[1,6,7,2,3,4,5]=>[1,7,2,3,4,6,5]=>([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[3,2,1,6,7,5,4]=>[1,6,7,2,3,4,5]=>[1,7,2,3,4,6,5]=>([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[3,2,1,7,4,5,6]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[3,2,1,7,4,6,5]=>[1,7,2,3,4,6,5]=>[1,7,2,3,6,4,5]=>([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,2,1,7,5,4,6]=>[1,7,2,3,4,6,5]=>[1,7,2,3,6,4,5]=>([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,2,1,7,5,6,4]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[3,2,1,7,6,4,5]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[3,2,1,7,6,5,4]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[3,2,4,1,5,6,7]=>[1,5,6,7,2,4,3]=>[1,7,4,2,5,6,3]=>([(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[3,2,4,1,5,7,6]=>[1,5,7,2,4,3,6]=>[1,7,4,2,5,3,6]=>([(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[3,2,4,1,6,5,7]=>[1,6,2,4,3,5,7]=>[1,6,4,2,3,5,7]=>([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,2,4,1,6,7,5]=>[1,6,7,2,4,3,5]=>[1,7,4,2,3,6,5]=>([(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,2,4,1,7,5,6]=>[1,7,2,4,3,5,6]=>[1,7,4,2,3,5,6]=>([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,2,4,1,7,6,5]=>[1,7,2,4,3,5,6]=>[1,7,4,2,3,5,6]=>([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,2,4,5,1,6,7]=>[1,6,7,2,4,5,3]=>[1,7,5,2,4,6,3]=>([(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,2,4,5,1,7,6]=>[1,7,2,4,5,3,6]=>[1,7,5,2,4,3,6]=>([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,2,4,5,6,1,7]=>[1,7,2,4,5,6,3]=>[1,7,6,2,4,5,3]=>([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,2,4,5,6,7,1]=>[1,2,4,5,6,7,3]=>[1,2,7,4,5,6,3]=>([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,2,4,5,7,1,6]=>[1,6,2,4,5,7,3]=>[1,6,7,2,4,5,3]=>([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[3,2,4,5,7,6,1]=>[1,2,4,5,7,3,6]=>[1,2,7,4,5,3,6]=>([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,2,4,6,1,5,7]=>[1,5,7,2,4,6,3]=>[1,7,6,2,5,4,3]=>([(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,2,4,6,1,7,5]=>[1,7,2,4,6,3,5]=>[1,7,6,2,3,4,5]=>([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,2,4,6,5,1,7]=>[1,7,2,4,6,3,5]=>[1,7,6,2,3,4,5]=>([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,2,4,6,5,7,1]=>[1,2,4,6,3,5,7]=>[1,2,6,4,3,5,7]=>([(3,6),(4,5),(4,6),(5,6)],7)
[3,2,4,6,7,1,5]=>[1,5,2,4,6,7,3]=>[1,5,7,2,4,6,3]=>([(1,5),(1,6),(2,3),(2,5),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[3,2,4,6,7,5,1]=>[1,2,4,6,7,3,5]=>[1,2,7,4,3,6,5]=>([(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7)
[3,2,4,7,1,5,6]=>[1,5,6,2,4,7,3]=>[1,6,7,2,5,4,3]=>([(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[3,2,4,7,1,6,5]=>[1,6,2,4,7,3,5]=>[1,6,7,2,3,4,5]=>([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[3,2,4,7,5,1,6]=>[1,6,2,4,7,3,5]=>[1,6,7,2,3,4,5]=>([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[3,2,4,7,5,6,1]=>[1,2,4,7,3,5,6]=>[1,2,7,4,3,5,6]=>([(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[3,2,4,7,6,1,5]=>[1,5,2,4,7,3,6]=>[1,5,7,2,4,3,6]=>([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[3,2,4,7,6,5,1]=>[1,2,4,7,3,5,6]=>[1,2,7,4,3,5,6]=>([(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[3,2,5,1,4,6,7]=>[1,4,6,7,2,5,3]=>[1,7,5,4,2,6,3]=>([(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,2,5,1,4,7,6]=>[1,4,7,2,5,3,6]=>[1,7,5,4,2,3,6]=>([(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,2,5,1,6,4,7]=>[1,6,2,5,3,4,7]=>[1,6,5,3,2,4,7]=>([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,2,5,1,6,7,4]=>[1,6,7,2,5,3,4]=>[1,7,5,3,2,6,4]=>([(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,2,5,1,7,4,6]=>[1,7,2,5,3,4,6]=>[1,7,5,3,2,4,6]=>([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,2,5,1,7,6,4]=>[1,7,2,5,3,4,6]=>[1,7,5,3,2,4,6]=>([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,2,5,4,1,6,7]=>[1,6,7,2,5,3,4]=>[1,7,5,3,2,6,4]=>([(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,2,5,4,1,7,6]=>[1,7,2,5,3,4,6]=>[1,7,5,3,2,4,6]=>([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,2,5,4,6,1,7]=>[1,7,2,5,3,4,6]=>[1,7,5,3,2,4,6]=>([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,2,5,4,6,7,1]=>[1,2,5,3,4,6,7]=>[1,2,5,3,4,6,7]=>([(4,6),(5,6)],7)
[3,2,5,4,7,1,6]=>[1,6,2,5,3,4,7]=>[1,6,5,3,2,4,7]=>([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,2,5,4,7,6,1]=>[1,2,5,3,4,7,6]=>[1,2,5,3,4,7,6]=>([(2,3),(4,6),(5,6)],7)
[3,2,5,6,1,4,7]=>[1,4,7,2,5,6,3]=>[1,7,6,4,2,5,3]=>([(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,2,5,6,1,7,4]=>[1,7,2,5,6,3,4]=>[1,7,6,3,2,5,4]=>([(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,2,5,6,4,1,7]=>[1,7,2,5,6,3,4]=>[1,7,6,3,2,5,4]=>([(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,2,5,6,4,7,1]=>[1,2,5,6,3,4,7]=>[1,2,6,3,5,4,7]=>([(3,6),(4,5),(4,6),(5,6)],7)
[3,2,5,6,7,1,4]=>[1,4,2,5,6,7,3]=>[1,4,7,2,5,6,3]=>([(1,2),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,2,5,6,7,4,1]=>[1,2,5,6,7,3,4]=>[1,2,7,3,5,6,4]=>([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,2,5,7,1,4,6]=>[1,4,6,2,5,7,3]=>[1,6,7,4,2,5,3]=>([(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[3,2,5,7,1,6,4]=>[1,6,2,5,7,3,4]=>[1,6,7,3,2,5,4]=>([(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[3,2,5,7,4,1,6]=>[1,6,2,5,7,3,4]=>[1,6,7,3,2,5,4]=>([(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[3,2,5,7,4,6,1]=>[1,2,5,7,3,4,6]=>[1,2,7,3,5,4,6]=>([(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[3,2,5,7,6,1,4]=>[1,4,2,5,7,3,6]=>[1,4,7,2,5,3,6]=>([(1,6),(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7)
[3,2,5,7,6,4,1]=>[1,2,5,7,3,4,6]=>[1,2,7,3,5,4,6]=>([(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[3,2,6,1,4,5,7]=>[1,4,5,7,2,6,3]=>[1,7,6,4,5,2,3]=>([(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,2,6,1,4,7,5]=>[1,4,7,2,6,3,5]=>[1,7,6,4,3,2,5]=>([(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,2,6,1,5,4,7]=>[1,5,2,6,3,4,7]=>[1,5,6,3,2,4,7]=>([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[3,2,6,1,5,7,4]=>[1,5,7,2,6,3,4]=>[1,7,6,3,5,2,4]=>([(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,2,6,1,7,4,5]=>[1,7,2,6,3,4,5]=>[1,7,6,3,4,2,5]=>([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,2,6,1,7,5,4]=>[1,7,2,6,3,4,5]=>[1,7,6,3,4,2,5]=>([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,2,6,4,1,5,7]=>[1,5,7,2,6,3,4]=>[1,7,6,3,5,2,4]=>([(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,2,6,4,1,7,5]=>[1,7,2,6,3,4,5]=>[1,7,6,3,4,2,5]=>([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,2,6,4,5,1,7]=>[1,7,2,6,3,4,5]=>[1,7,6,3,4,2,5]=>([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,2,6,4,5,7,1]=>[1,2,6,3,4,5,7]=>[1,2,6,3,4,5,7]=>([(3,6),(4,6),(5,6)],7)
[3,2,6,4,7,1,5]=>[1,5,2,6,3,4,7]=>[1,5,6,3,2,4,7]=>([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[3,2,6,4,7,5,1]=>[1,2,6,3,4,7,5]=>[1,2,6,3,7,4,5]=>([(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[3,2,6,5,1,4,7]=>[1,4,7,2,6,3,5]=>[1,7,6,4,3,2,5]=>([(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,2,6,5,1,7,4]=>[1,7,2,6,3,4,5]=>[1,7,6,3,4,2,5]=>([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,2,6,5,4,1,7]=>[1,7,2,6,3,4,5]=>[1,7,6,3,4,2,5]=>([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,2,6,5,4,7,1]=>[1,2,6,3,4,7,5]=>[1,2,6,3,7,4,5]=>([(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[3,2,6,5,7,1,4]=>[1,4,2,6,3,5,7]=>[1,4,6,2,3,5,7]=>([(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[3,2,6,5,7,4,1]=>[1,2,6,3,4,5,7]=>[1,2,6,3,4,5,7]=>([(3,6),(4,6),(5,6)],7)
[3,2,6,7,1,4,5]=>[1,4,5,2,6,7,3]=>[1,5,7,4,2,6,3]=>([(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
[3,2,6,7,1,5,4]=>[1,5,2,6,7,3,4]=>[1,5,7,3,2,6,4]=>([(1,5),(1,6),(2,3),(2,4),(2,5),(3,4),(3,6),(4,6),(5,6)],7)
[3,2,6,7,4,1,5]=>[1,5,2,6,7,3,4]=>[1,5,7,3,2,6,4]=>([(1,5),(1,6),(2,3),(2,4),(2,5),(3,4),(3,6),(4,6),(5,6)],7)
[3,2,6,7,4,5,1]=>[1,2,6,7,3,4,5]=>[1,2,7,3,4,6,5]=>([(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[3,2,6,7,5,1,4]=>[1,4,2,6,7,3,5]=>[1,4,7,2,3,6,5]=>([(1,4),(1,5),(2,3),(2,6),(3,6),(4,6),(5,6)],7)
[3,2,6,7,5,4,1]=>[1,2,6,7,3,4,5]=>[1,2,7,3,4,6,5]=>([(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[3,2,7,1,4,5,6]=>[1,4,5,6,2,7,3]=>[1,6,7,4,5,2,3]=>([(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[3,2,7,1,4,6,5]=>[1,4,6,2,7,3,5]=>[1,6,7,4,3,2,5]=>([(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[3,2,7,1,5,4,6]=>[1,5,2,7,3,4,6]=>[1,5,7,3,2,4,6]=>([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[3,2,7,1,5,6,4]=>[1,5,6,2,7,3,4]=>[1,6,7,3,5,2,4]=>([(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[3,2,7,1,6,4,5]=>[1,6,2,7,3,4,5]=>[1,6,7,3,4,2,5]=>([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[3,2,7,1,6,5,4]=>[1,6,2,7,3,4,5]=>[1,6,7,3,4,2,5]=>([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[3,2,7,4,1,5,6]=>[1,5,6,2,7,3,4]=>[1,6,7,3,5,2,4]=>([(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[3,2,7,4,1,6,5]=>[1,6,2,7,3,4,5]=>[1,6,7,3,4,2,5]=>([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[3,2,7,4,5,1,6]=>[1,6,2,7,3,4,5]=>[1,6,7,3,4,2,5]=>([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[3,2,7,4,5,6,1]=>[1,2,7,3,4,5,6]=>[1,2,7,3,4,5,6]=>([(2,6),(3,6),(4,6),(5,6)],7)
[3,2,7,4,6,1,5]=>[1,5,2,7,3,4,6]=>[1,5,7,3,2,4,6]=>([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[3,2,7,4,6,5,1]=>[1,2,7,3,4,6,5]=>[1,2,7,3,6,4,5]=>([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,2,7,5,1,4,6]=>[1,4,6,2,7,3,5]=>[1,6,7,4,3,2,5]=>([(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[3,2,7,5,1,6,4]=>[1,6,2,7,3,4,5]=>[1,6,7,3,4,2,5]=>([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[3,2,7,5,4,1,6]=>[1,6,2,7,3,4,5]=>[1,6,7,3,4,2,5]=>([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[3,2,7,5,4,6,1]=>[1,2,7,3,4,6,5]=>[1,2,7,3,6,4,5]=>([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,2,7,5,6,1,4]=>[1,4,2,7,3,5,6]=>[1,4,7,2,3,5,6]=>([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[3,2,7,5,6,4,1]=>[1,2,7,3,4,5,6]=>[1,2,7,3,4,5,6]=>([(2,6),(3,6),(4,6),(5,6)],7)
[3,2,7,6,1,4,5]=>[1,4,5,2,7,3,6]=>[1,5,7,4,2,3,6]=>([(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,2,7,6,1,5,4]=>[1,5,2,7,3,4,6]=>[1,5,7,3,2,4,6]=>([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[3,2,7,6,4,1,5]=>[1,5,2,7,3,4,6]=>[1,5,7,3,2,4,6]=>([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[3,2,7,6,4,5,1]=>[1,2,7,3,4,5,6]=>[1,2,7,3,4,5,6]=>([(2,6),(3,6),(4,6),(5,6)],7)
[3,2,7,6,5,1,4]=>[1,4,2,7,3,5,6]=>[1,4,7,2,3,5,6]=>([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[3,2,7,6,5,4,1]=>[1,2,7,3,4,5,6]=>[1,2,7,3,4,5,6]=>([(2,6),(3,6),(4,6),(5,6)],7)
[3,4,1,2,5,6,7]=>[1,2,5,6,7,3,4]=>[1,2,7,3,5,6,4]=>([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,4,1,2,5,7,6]=>[1,2,5,7,3,4,6]=>[1,2,7,3,5,4,6]=>([(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[3,4,1,2,6,5,7]=>[1,2,6,3,4,5,7]=>[1,2,6,3,4,5,7]=>([(3,6),(4,6),(5,6)],7)
[3,4,1,2,6,7,5]=>[1,2,6,7,3,4,5]=>[1,2,7,3,4,6,5]=>([(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[3,4,1,2,7,5,6]=>[1,2,7,3,4,5,6]=>[1,2,7,3,4,5,6]=>([(2,6),(3,6),(4,6),(5,6)],7)
[3,4,1,2,7,6,5]=>[1,2,7,3,4,5,6]=>[1,2,7,3,4,5,6]=>([(2,6),(3,6),(4,6),(5,6)],7)
[3,4,1,5,2,6,7]=>[1,5,2,6,7,3,4]=>[1,5,7,3,2,6,4]=>([(1,5),(1,6),(2,3),(2,4),(2,5),(3,4),(3,6),(4,6),(5,6)],7)
[3,4,1,5,2,7,6]=>[1,5,2,7,3,4,6]=>[1,5,7,3,2,4,6]=>([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[3,4,1,5,6,2,7]=>[1,5,6,2,7,3,4]=>[1,6,7,3,5,2,4]=>([(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[3,4,1,5,6,7,2]=>[1,5,6,7,2,3,4]=>[1,7,2,3,5,6,4]=>([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,4,1,5,7,2,6]=>[1,5,7,2,6,3,4]=>[1,7,6,3,5,2,4]=>([(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,4,1,5,7,6,2]=>[1,5,7,2,3,4,6]=>[1,7,2,3,5,4,6]=>([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[3,4,1,6,2,5,7]=>[1,6,2,5,7,3,4]=>[1,6,7,3,2,5,4]=>([(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[3,4,1,6,2,7,5]=>[1,6,2,7,3,4,5]=>[1,6,7,3,4,2,5]=>([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[3,4,1,6,5,2,7]=>[1,6,2,7,3,4,5]=>[1,6,7,3,4,2,5]=>([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[3,4,1,6,5,7,2]=>[1,6,2,3,4,5,7]=>[1,6,2,3,4,5,7]=>([(2,6),(3,6),(4,6),(5,6)],7)
[3,4,1,6,7,2,5]=>[1,6,7,2,5,3,4]=>[1,7,5,3,2,6,4]=>([(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,4,1,6,7,5,2]=>[1,6,7,2,3,4,5]=>[1,7,2,3,4,6,5]=>([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[3,4,1,7,2,5,6]=>[1,7,2,5,6,3,4]=>[1,7,6,3,2,5,4]=>([(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,4,1,7,2,6,5]=>[1,7,2,6,3,4,5]=>[1,7,6,3,4,2,5]=>([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,4,1,7,5,2,6]=>[1,7,2,6,3,4,5]=>[1,7,6,3,4,2,5]=>([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,4,1,7,5,6,2]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[3,4,1,7,6,2,5]=>[1,7,2,5,3,4,6]=>[1,7,5,3,2,4,6]=>([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,4,1,7,6,5,2]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[3,4,2,1,5,6,7]=>[1,5,6,7,2,3,4]=>[1,7,2,3,5,6,4]=>([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,4,2,1,5,7,6]=>[1,5,7,2,3,4,6]=>[1,7,2,3,5,4,6]=>([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[3,4,2,1,6,5,7]=>[1,6,2,3,4,5,7]=>[1,6,2,3,4,5,7]=>([(2,6),(3,6),(4,6),(5,6)],7)
[3,4,2,1,6,7,5]=>[1,6,7,2,3,4,5]=>[1,7,2,3,4,6,5]=>([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[3,4,2,1,7,5,6]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[3,4,2,1,7,6,5]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[3,4,2,5,1,6,7]=>[1,6,7,2,5,3,4]=>[1,7,5,3,2,6,4]=>([(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,4,2,5,1,7,6]=>[1,7,2,5,3,4,6]=>[1,7,5,3,2,4,6]=>([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,4,2,5,6,1,7]=>[1,7,2,5,6,3,4]=>[1,7,6,3,2,5,4]=>([(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,4,2,5,6,7,1]=>[1,2,5,6,7,3,4]=>[1,2,7,3,5,6,4]=>([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,4,2,5,7,1,6]=>[1,6,2,5,7,3,4]=>[1,6,7,3,2,5,4]=>([(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[3,4,2,5,7,6,1]=>[1,2,5,7,3,4,6]=>[1,2,7,3,5,4,6]=>([(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[3,4,2,6,1,5,7]=>[1,5,7,2,6,3,4]=>[1,7,6,3,5,2,4]=>([(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,4,2,6,1,7,5]=>[1,7,2,6,3,4,5]=>[1,7,6,3,4,2,5]=>([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,4,2,6,5,1,7]=>[1,7,2,6,3,4,5]=>[1,7,6,3,4,2,5]=>([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,4,2,6,5,7,1]=>[1,2,6,3,4,5,7]=>[1,2,6,3,4,5,7]=>([(3,6),(4,6),(5,6)],7)
[3,4,2,6,7,1,5]=>[1,5,2,6,7,3,4]=>[1,5,7,3,2,6,4]=>([(1,5),(1,6),(2,3),(2,4),(2,5),(3,4),(3,6),(4,6),(5,6)],7)
[3,4,2,6,7,5,1]=>[1,2,6,7,3,4,5]=>[1,2,7,3,4,6,5]=>([(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[3,4,2,7,1,5,6]=>[1,5,6,2,7,3,4]=>[1,6,7,3,5,2,4]=>([(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[3,4,2,7,1,6,5]=>[1,6,2,7,3,4,5]=>[1,6,7,3,4,2,5]=>([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[3,4,2,7,5,1,6]=>[1,6,2,7,3,4,5]=>[1,6,7,3,4,2,5]=>([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[3,4,2,7,5,6,1]=>[1,2,7,3,4,5,6]=>[1,2,7,3,4,5,6]=>([(2,6),(3,6),(4,6),(5,6)],7)
[3,4,2,7,6,1,5]=>[1,5,2,7,3,4,6]=>[1,5,7,3,2,4,6]=>([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[3,4,2,7,6,5,1]=>[1,2,7,3,4,5,6]=>[1,2,7,3,4,5,6]=>([(2,6),(3,6),(4,6),(5,6)],7)
[3,4,5,1,2,6,7]=>[1,2,6,7,3,4,5]=>[1,2,7,3,4,6,5]=>([(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[3,4,5,1,2,7,6]=>[1,2,7,3,4,5,6]=>[1,2,7,3,4,5,6]=>([(2,6),(3,6),(4,6),(5,6)],7)
[3,4,5,1,6,2,7]=>[1,6,2,7,3,4,5]=>[1,6,7,3,4,2,5]=>([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[3,4,5,1,6,7,2]=>[1,6,7,2,3,4,5]=>[1,7,2,3,4,6,5]=>([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[3,4,5,1,7,2,6]=>[1,7,2,6,3,4,5]=>[1,7,6,3,4,2,5]=>([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,4,5,1,7,6,2]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[3,4,5,2,1,6,7]=>[1,6,7,2,3,4,5]=>[1,7,2,3,4,6,5]=>([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[3,4,5,2,1,7,6]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[3,4,5,2,6,1,7]=>[1,7,2,6,3,4,5]=>[1,7,6,3,4,2,5]=>([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,4,5,2,6,7,1]=>[1,2,6,7,3,4,5]=>[1,2,7,3,4,6,5]=>([(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[3,4,5,2,7,1,6]=>[1,6,2,7,3,4,5]=>[1,6,7,3,4,2,5]=>([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[3,4,5,2,7,6,1]=>[1,2,7,3,4,5,6]=>[1,2,7,3,4,5,6]=>([(2,6),(3,6),(4,6),(5,6)],7)
[3,4,5,6,1,2,7]=>[1,2,7,3,4,5,6]=>[1,2,7,3,4,5,6]=>([(2,6),(3,6),(4,6),(5,6)],7)
[3,4,5,6,1,7,2]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[3,4,5,6,2,1,7]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[3,4,5,6,2,7,1]=>[1,2,7,3,4,5,6]=>[1,2,7,3,4,5,6]=>([(2,6),(3,6),(4,6),(5,6)],7)
[3,4,5,6,7,1,2]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>([],7)
[3,4,5,6,7,2,1]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>([],7)
[3,4,5,7,1,2,6]=>[1,2,6,3,4,5,7]=>[1,2,6,3,4,5,7]=>([(3,6),(4,6),(5,6)],7)
[3,4,5,7,1,6,2]=>[1,6,2,3,4,5,7]=>[1,6,2,3,4,5,7]=>([(2,6),(3,6),(4,6),(5,6)],7)
[3,4,5,7,2,1,6]=>[1,6,2,3,4,5,7]=>[1,6,2,3,4,5,7]=>([(2,6),(3,6),(4,6),(5,6)],7)
[3,4,5,7,2,6,1]=>[1,2,6,3,4,5,7]=>[1,2,6,3,4,5,7]=>([(3,6),(4,6),(5,6)],7)
[3,4,5,7,6,1,2]=>[1,2,3,4,5,7,6]=>[1,2,3,4,5,7,6]=>([(5,6)],7)
[3,4,5,7,6,2,1]=>[1,2,3,4,5,7,6]=>[1,2,3,4,5,7,6]=>([(5,6)],7)
[3,4,6,1,2,5,7]=>[1,2,5,7,3,4,6]=>[1,2,7,3,5,4,6]=>([(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[3,4,6,1,2,7,5]=>[1,2,7,3,4,6,5]=>[1,2,7,3,6,4,5]=>([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,4,6,1,5,2,7]=>[1,5,2,7,3,4,6]=>[1,5,7,3,2,4,6]=>([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[3,4,6,1,5,7,2]=>[1,5,7,2,3,4,6]=>[1,7,2,3,5,4,6]=>([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[3,4,6,1,7,2,5]=>[1,7,2,5,3,4,6]=>[1,7,5,3,2,4,6]=>([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,4,6,1,7,5,2]=>[1,7,2,3,4,6,5]=>[1,7,2,3,6,4,5]=>([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,4,6,2,1,5,7]=>[1,5,7,2,3,4,6]=>[1,7,2,3,5,4,6]=>([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[3,4,6,2,1,7,5]=>[1,7,2,3,4,6,5]=>[1,7,2,3,6,4,5]=>([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,4,6,2,5,1,7]=>[1,7,2,5,3,4,6]=>[1,7,5,3,2,4,6]=>([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,4,6,2,5,7,1]=>[1,2,5,7,3,4,6]=>[1,2,7,3,5,4,6]=>([(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[3,4,6,2,7,1,5]=>[1,5,2,7,3,4,6]=>[1,5,7,3,2,4,6]=>([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[3,4,6,2,7,5,1]=>[1,2,7,3,4,6,5]=>[1,2,7,3,6,4,5]=>([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,4,6,5,1,2,7]=>[1,2,7,3,4,6,5]=>[1,2,7,3,6,4,5]=>([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,4,6,5,1,7,2]=>[1,7,2,3,4,6,5]=>[1,7,2,3,6,4,5]=>([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,4,6,5,2,1,7]=>[1,7,2,3,4,6,5]=>[1,7,2,3,6,4,5]=>([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,4,6,5,2,7,1]=>[1,2,7,3,4,6,5]=>[1,2,7,3,6,4,5]=>([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,4,6,5,7,1,2]=>[1,2,3,4,6,5,7]=>[1,2,3,4,6,5,7]=>([(5,6)],7)
[3,4,6,5,7,2,1]=>[1,2,3,4,6,5,7]=>[1,2,3,4,6,5,7]=>([(5,6)],7)
[3,4,6,7,1,2,5]=>[1,2,5,3,4,6,7]=>[1,2,5,3,4,6,7]=>([(4,6),(5,6)],7)
[3,4,6,7,1,5,2]=>[1,5,2,3,4,6,7]=>[1,5,2,3,4,6,7]=>([(3,6),(4,6),(5,6)],7)
[3,4,6,7,2,1,5]=>[1,5,2,3,4,6,7]=>[1,5,2,3,4,6,7]=>([(3,6),(4,6),(5,6)],7)
[3,4,6,7,2,5,1]=>[1,2,5,3,4,6,7]=>[1,2,5,3,4,6,7]=>([(4,6),(5,6)],7)
[3,4,6,7,5,1,2]=>[1,2,3,4,6,7,5]=>[1,2,3,4,7,6,5]=>([(4,5),(4,6),(5,6)],7)
[3,4,6,7,5,2,1]=>[1,2,3,4,6,7,5]=>[1,2,3,4,7,6,5]=>([(4,5),(4,6),(5,6)],7)
[3,4,7,1,2,5,6]=>[1,2,5,6,3,4,7]=>[1,2,6,3,5,4,7]=>([(3,6),(4,5),(4,6),(5,6)],7)
[3,4,7,1,2,6,5]=>[1,2,6,3,4,7,5]=>[1,2,6,3,7,4,5]=>([(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[3,4,7,1,5,2,6]=>[1,5,2,6,3,4,7]=>[1,5,6,3,2,4,7]=>([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[3,4,7,1,5,6,2]=>[1,5,6,2,3,4,7]=>[1,6,2,3,5,4,7]=>([(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[3,4,7,1,6,2,5]=>[1,6,2,5,3,4,7]=>[1,6,5,3,2,4,7]=>([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,4,7,1,6,5,2]=>[1,6,2,3,4,7,5]=>[1,6,2,3,7,4,5]=>([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[3,4,7,2,1,5,6]=>[1,5,6,2,3,4,7]=>[1,6,2,3,5,4,7]=>([(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[3,4,7,2,1,6,5]=>[1,6,2,3,4,7,5]=>[1,6,2,3,7,4,5]=>([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[3,4,7,2,5,1,6]=>[1,6,2,5,3,4,7]=>[1,6,5,3,2,4,7]=>([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,4,7,2,5,6,1]=>[1,2,5,6,3,4,7]=>[1,2,6,3,5,4,7]=>([(3,6),(4,5),(4,6),(5,6)],7)
[3,4,7,2,6,1,5]=>[1,5,2,6,3,4,7]=>[1,5,6,3,2,4,7]=>([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[3,4,7,2,6,5,1]=>[1,2,6,3,4,7,5]=>[1,2,6,3,7,4,5]=>([(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[3,4,7,5,1,2,6]=>[1,2,6,3,4,7,5]=>[1,2,6,3,7,4,5]=>([(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[3,4,7,5,1,6,2]=>[1,6,2,3,4,7,5]=>[1,6,2,3,7,4,5]=>([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[3,4,7,5,2,1,6]=>[1,6,2,3,4,7,5]=>[1,6,2,3,7,4,5]=>([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[3,4,7,5,2,6,1]=>[1,2,6,3,4,7,5]=>[1,2,6,3,7,4,5]=>([(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[3,4,7,5,6,1,2]=>[1,2,3,4,7,5,6]=>[1,2,3,4,7,5,6]=>([(4,6),(5,6)],7)
[3,4,7,5,6,2,1]=>[1,2,3,4,7,5,6]=>[1,2,3,4,7,5,6]=>([(4,6),(5,6)],7)
[3,4,7,6,1,2,5]=>[1,2,5,3,4,7,6]=>[1,2,5,3,4,7,6]=>([(2,3),(4,6),(5,6)],7)
[3,4,7,6,1,5,2]=>[1,5,2,3,4,7,6]=>[1,5,2,3,4,7,6]=>([(1,2),(3,6),(4,6),(5,6)],7)
[3,4,7,6,2,1,5]=>[1,5,2,3,4,7,6]=>[1,5,2,3,4,7,6]=>([(1,2),(3,6),(4,6),(5,6)],7)
[3,4,7,6,2,5,1]=>[1,2,5,3,4,7,6]=>[1,2,5,3,4,7,6]=>([(2,3),(4,6),(5,6)],7)
[3,4,7,6,5,1,2]=>[1,2,3,4,7,5,6]=>[1,2,3,4,7,5,6]=>([(4,6),(5,6)],7)
[3,4,7,6,5,2,1]=>[1,2,3,4,7,5,6]=>[1,2,3,4,7,5,6]=>([(4,6),(5,6)],7)
[3,5,1,2,4,6,7]=>[1,2,4,6,7,3,5]=>[1,2,7,4,3,6,5]=>([(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7)
[3,5,1,2,4,7,6]=>[1,2,4,7,3,5,6]=>[1,2,7,4,3,5,6]=>([(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[3,5,1,2,6,4,7]=>[1,2,6,3,5,4,7]=>[1,2,6,5,3,4,7]=>([(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,5,1,2,6,7,4]=>[1,2,6,7,3,5,4]=>[1,2,7,5,3,6,4]=>([(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[3,5,1,2,7,4,6]=>[1,2,7,3,5,4,6]=>[1,2,7,5,3,4,6]=>([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,5,1,2,7,6,4]=>[1,2,7,3,5,4,6]=>[1,2,7,5,3,4,6]=>([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,5,1,4,2,6,7]=>[1,4,2,6,7,3,5]=>[1,4,7,2,3,6,5]=>([(1,4),(1,5),(2,3),(2,6),(3,6),(4,6),(5,6)],7)
[3,5,1,4,2,7,6]=>[1,4,2,7,3,5,6]=>[1,4,7,2,3,5,6]=>([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[3,5,1,4,6,2,7]=>[1,4,6,2,7,3,5]=>[1,6,7,4,3,2,5]=>([(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[3,5,1,4,6,7,2]=>[1,4,6,7,2,3,5]=>[1,7,2,4,3,6,5]=>([(1,6),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7)
[3,5,1,4,7,2,6]=>[1,4,7,2,6,3,5]=>[1,7,6,4,3,2,5]=>([(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,5,1,4,7,6,2]=>[1,4,7,2,3,5,6]=>[1,7,2,4,3,5,6]=>([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[3,5,1,6,2,4,7]=>[1,6,2,4,7,3,5]=>[1,6,7,2,3,4,5]=>([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[3,5,1,6,2,7,4]=>[1,6,2,7,3,5,4]=>[1,6,7,5,3,2,4]=>([(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[3,5,1,6,4,2,7]=>[1,6,2,7,3,5,4]=>[1,6,7,5,3,2,4]=>([(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[3,5,1,6,4,7,2]=>[1,6,2,3,5,4,7]=>[1,6,2,5,3,4,7]=>([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,5,1,6,7,2,4]=>[1,6,7,2,4,3,5]=>[1,7,4,2,3,6,5]=>([(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,5,1,6,7,4,2]=>[1,6,7,2,3,5,4]=>[1,7,2,5,3,6,4]=>([(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[3,5,1,7,2,4,6]=>[1,7,2,4,6,3,5]=>[1,7,6,2,3,4,5]=>([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,5,1,7,2,6,4]=>[1,7,2,6,3,5,4]=>[1,7,6,5,3,2,4]=>([(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,5,1,7,4,2,6]=>[1,7,2,6,3,5,4]=>[1,7,6,5,3,2,4]=>([(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,5,1,7,4,6,2]=>[1,7,2,3,5,4,6]=>[1,7,2,5,3,4,6]=>([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,5,1,7,6,2,4]=>[1,7,2,4,3,5,6]=>[1,7,4,2,3,5,6]=>([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,5,1,7,6,4,2]=>[1,7,2,3,5,4,6]=>[1,7,2,5,3,4,6]=>([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,5,2,1,4,6,7]=>[1,4,6,7,2,3,5]=>[1,7,2,4,3,6,5]=>([(1,6),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7)
[3,5,2,1,4,7,6]=>[1,4,7,2,3,5,6]=>[1,7,2,4,3,5,6]=>([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[3,5,2,1,6,4,7]=>[1,6,2,3,5,4,7]=>[1,6,2,5,3,4,7]=>([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,5,2,1,6,7,4]=>[1,6,7,2,3,5,4]=>[1,7,2,5,3,6,4]=>([(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[3,5,2,1,7,4,6]=>[1,7,2,3,5,4,6]=>[1,7,2,5,3,4,6]=>([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,5,2,1,7,6,4]=>[1,7,2,3,5,4,6]=>[1,7,2,5,3,4,6]=>([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,5,2,4,1,6,7]=>[1,6,7,2,4,3,5]=>[1,7,4,2,3,6,5]=>([(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,5,2,4,1,7,6]=>[1,7,2,4,3,5,6]=>[1,7,4,2,3,5,6]=>([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,5,2,4,6,1,7]=>[1,7,2,4,6,3,5]=>[1,7,6,2,3,4,5]=>([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,5,2,4,6,7,1]=>[1,2,4,6,7,3,5]=>[1,2,7,4,3,6,5]=>([(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7)
[3,5,2,4,7,1,6]=>[1,6,2,4,7,3,5]=>[1,6,7,2,3,4,5]=>([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[3,5,2,4,7,6,1]=>[1,2,4,7,3,5,6]=>[1,2,7,4,3,5,6]=>([(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[3,5,2,6,1,4,7]=>[1,4,7,2,6,3,5]=>[1,7,6,4,3,2,5]=>([(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,5,2,6,1,7,4]=>[1,7,2,6,3,5,4]=>[1,7,6,5,3,2,4]=>([(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,5,2,6,4,1,7]=>[1,7,2,6,3,5,4]=>[1,7,6,5,3,2,4]=>([(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,5,2,6,4,7,1]=>[1,2,6,3,5,4,7]=>[1,2,6,5,3,4,7]=>([(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,5,2,6,7,1,4]=>[1,4,2,6,7,3,5]=>[1,4,7,2,3,6,5]=>([(1,4),(1,5),(2,3),(2,6),(3,6),(4,6),(5,6)],7)
[3,5,2,6,7,4,1]=>[1,2,6,7,3,5,4]=>[1,2,7,5,3,6,4]=>([(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[3,5,2,7,1,4,6]=>[1,4,6,2,7,3,5]=>[1,6,7,4,3,2,5]=>([(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[3,5,2,7,1,6,4]=>[1,6,2,7,3,5,4]=>[1,6,7,5,3,2,4]=>([(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[3,5,2,7,4,1,6]=>[1,6,2,7,3,5,4]=>[1,6,7,5,3,2,4]=>([(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[3,5,2,7,4,6,1]=>[1,2,7,3,5,4,6]=>[1,2,7,5,3,4,6]=>([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,5,2,7,6,1,4]=>[1,4,2,7,3,5,6]=>[1,4,7,2,3,5,6]=>([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[3,5,2,7,6,4,1]=>[1,2,7,3,5,4,6]=>[1,2,7,5,3,4,6]=>([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,5,4,1,2,6,7]=>[1,2,6,7,3,5,4]=>[1,2,7,5,3,6,4]=>([(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[3,5,4,1,2,7,6]=>[1,2,7,3,5,4,6]=>[1,2,7,5,3,4,6]=>([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,5,4,1,6,2,7]=>[1,6,2,7,3,5,4]=>[1,6,7,5,3,2,4]=>([(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[3,5,4,1,6,7,2]=>[1,6,7,2,3,5,4]=>[1,7,2,5,3,6,4]=>([(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[3,5,4,1,7,2,6]=>[1,7,2,6,3,5,4]=>[1,7,6,5,3,2,4]=>([(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,5,4,1,7,6,2]=>[1,7,2,3,5,4,6]=>[1,7,2,5,3,4,6]=>([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,5,4,2,1,6,7]=>[1,6,7,2,3,5,4]=>[1,7,2,5,3,6,4]=>([(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[3,5,4,2,1,7,6]=>[1,7,2,3,5,4,6]=>[1,7,2,5,3,4,6]=>([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,5,4,2,6,1,7]=>[1,7,2,6,3,5,4]=>[1,7,6,5,3,2,4]=>([(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,5,4,2,6,7,1]=>[1,2,6,7,3,5,4]=>[1,2,7,5,3,6,4]=>([(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[3,5,4,2,7,1,6]=>[1,6,2,7,3,5,4]=>[1,6,7,5,3,2,4]=>([(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[3,5,4,2,7,6,1]=>[1,2,7,3,5,4,6]=>[1,2,7,5,3,4,6]=>([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,5,4,6,1,2,7]=>[1,2,7,3,5,4,6]=>[1,2,7,5,3,4,6]=>([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,5,4,6,1,7,2]=>[1,7,2,3,5,4,6]=>[1,7,2,5,3,4,6]=>([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,5,4,6,2,1,7]=>[1,7,2,3,5,4,6]=>[1,7,2,5,3,4,6]=>([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,5,4,6,2,7,1]=>[1,2,7,3,5,4,6]=>[1,2,7,5,3,4,6]=>([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,5,4,6,7,1,2]=>[1,2,3,5,4,6,7]=>[1,2,3,5,4,6,7]=>([(5,6)],7)
[3,5,4,6,7,2,1]=>[1,2,3,5,4,6,7]=>[1,2,3,5,4,6,7]=>([(5,6)],7)
[3,5,4,7,1,2,6]=>[1,2,6,3,5,4,7]=>[1,2,6,5,3,4,7]=>([(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,5,4,7,1,6,2]=>[1,6,2,3,5,4,7]=>[1,6,2,5,3,4,7]=>([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,5,4,7,2,1,6]=>[1,6,2,3,5,4,7]=>[1,6,2,5,3,4,7]=>([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,5,4,7,2,6,1]=>[1,2,6,3,5,4,7]=>[1,2,6,5,3,4,7]=>([(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,5,4,7,6,1,2]=>[1,2,3,5,4,7,6]=>[1,2,3,5,4,7,6]=>([(3,6),(4,5)],7)
[3,5,4,7,6,2,1]=>[1,2,3,5,4,7,6]=>[1,2,3,5,4,7,6]=>([(3,6),(4,5)],7)
[3,5,6,1,2,4,7]=>[1,2,4,7,3,5,6]=>[1,2,7,4,3,5,6]=>([(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[3,5,6,1,2,7,4]=>[1,2,7,3,5,6,4]=>[1,2,7,6,3,5,4]=>([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,5,6,1,4,2,7]=>[1,4,2,7,3,5,6]=>[1,4,7,2,3,5,6]=>([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[3,5,6,1,4,7,2]=>[1,4,7,2,3,5,6]=>[1,7,2,4,3,5,6]=>([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[3,5,6,1,7,2,4]=>[1,7,2,4,3,5,6]=>[1,7,4,2,3,5,6]=>([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,5,6,1,7,4,2]=>[1,7,2,3,5,6,4]=>[1,7,2,6,3,5,4]=>([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,5,6,2,1,4,7]=>[1,4,7,2,3,5,6]=>[1,7,2,4,3,5,6]=>([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[3,5,6,2,1,7,4]=>[1,7,2,3,5,6,4]=>[1,7,2,6,3,5,4]=>([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,5,6,2,4,1,7]=>[1,7,2,4,3,5,6]=>[1,7,4,2,3,5,6]=>([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,5,6,2,4,7,1]=>[1,2,4,7,3,5,6]=>[1,2,7,4,3,5,6]=>([(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[3,5,6,2,7,1,4]=>[1,4,2,7,3,5,6]=>[1,4,7,2,3,5,6]=>([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[3,5,6,2,7,4,1]=>[1,2,7,3,5,6,4]=>[1,2,7,6,3,5,4]=>([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,5,6,4,1,2,7]=>[1,2,7,3,5,6,4]=>[1,2,7,6,3,5,4]=>([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,5,6,4,1,7,2]=>[1,7,2,3,5,6,4]=>[1,7,2,6,3,5,4]=>([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,5,6,4,2,1,7]=>[1,7,2,3,5,6,4]=>[1,7,2,6,3,5,4]=>([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,5,6,4,2,7,1]=>[1,2,7,3,5,6,4]=>[1,2,7,6,3,5,4]=>([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,5,6,4,7,1,2]=>[1,2,3,5,6,4,7]=>[1,2,3,6,5,4,7]=>([(4,5),(4,6),(5,6)],7)
[3,5,6,4,7,2,1]=>[1,2,3,5,6,4,7]=>[1,2,3,6,5,4,7]=>([(4,5),(4,6),(5,6)],7)
[3,5,6,7,1,2,4]=>[1,2,4,3,5,6,7]=>[1,2,4,3,5,6,7]=>([(5,6)],7)
[3,5,6,7,1,4,2]=>[1,4,2,3,5,6,7]=>[1,4,2,3,5,6,7]=>([(4,6),(5,6)],7)
[3,5,6,7,2,1,4]=>[1,4,2,3,5,6,7]=>[1,4,2,3,5,6,7]=>([(4,6),(5,6)],7)
[3,5,6,7,2,4,1]=>[1,2,4,3,5,6,7]=>[1,2,4,3,5,6,7]=>([(5,6)],7)
[3,5,6,7,4,1,2]=>[1,2,3,5,6,7,4]=>[1,2,3,7,5,6,4]=>([(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,5,6,7,4,2,1]=>[1,2,3,5,6,7,4]=>[1,2,3,7,5,6,4]=>([(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,5,7,1,2,4,6]=>[1,2,4,6,3,5,7]=>[1,2,6,4,3,5,7]=>([(3,6),(4,5),(4,6),(5,6)],7)
[3,5,7,1,2,6,4]=>[1,2,6,3,5,7,4]=>[1,2,6,7,3,5,4]=>([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[3,5,7,1,4,2,6]=>[1,4,2,6,3,5,7]=>[1,4,6,2,3,5,7]=>([(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[3,5,7,1,4,6,2]=>[1,4,6,2,3,5,7]=>[1,6,2,4,3,5,7]=>([(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[3,5,7,1,6,2,4]=>[1,6,2,4,3,5,7]=>[1,6,4,2,3,5,7]=>([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,5,7,1,6,4,2]=>[1,6,2,3,5,7,4]=>[1,6,2,7,3,5,4]=>([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[3,5,7,2,1,4,6]=>[1,4,6,2,3,5,7]=>[1,6,2,4,3,5,7]=>([(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[3,5,7,2,1,6,4]=>[1,6,2,3,5,7,4]=>[1,6,2,7,3,5,4]=>([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[3,5,7,2,4,1,6]=>[1,6,2,4,3,5,7]=>[1,6,4,2,3,5,7]=>([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,5,7,2,4,6,1]=>[1,2,4,6,3,5,7]=>[1,2,6,4,3,5,7]=>([(3,6),(4,5),(4,6),(5,6)],7)
[3,5,7,2,6,1,4]=>[1,4,2,6,3,5,7]=>[1,4,6,2,3,5,7]=>([(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[3,5,7,2,6,4,1]=>[1,2,6,3,5,7,4]=>[1,2,6,7,3,5,4]=>([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[3,5,7,4,1,2,6]=>[1,2,6,3,5,7,4]=>[1,2,6,7,3,5,4]=>([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[3,5,7,4,1,6,2]=>[1,6,2,3,5,7,4]=>[1,6,2,7,3,5,4]=>([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[3,5,7,4,2,1,6]=>[1,6,2,3,5,7,4]=>[1,6,2,7,3,5,4]=>([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[3,5,7,4,2,6,1]=>[1,2,6,3,5,7,4]=>[1,2,6,7,3,5,4]=>([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[3,5,7,4,6,1,2]=>[1,2,3,5,7,4,6]=>[1,2,3,7,5,4,6]=>([(3,6),(4,5),(4,6),(5,6)],7)
[3,5,7,4,6,2,1]=>[1,2,3,5,7,4,6]=>[1,2,3,7,5,4,6]=>([(3,6),(4,5),(4,6),(5,6)],7)
[3,5,7,6,1,2,4]=>[1,2,4,3,5,7,6]=>[1,2,4,3,5,7,6]=>([(3,6),(4,5)],7)
[3,5,7,6,1,4,2]=>[1,4,2,3,5,7,6]=>[1,4,2,3,5,7,6]=>([(2,3),(4,6),(5,6)],7)
[3,5,7,6,2,1,4]=>[1,4,2,3,5,7,6]=>[1,4,2,3,5,7,6]=>([(2,3),(4,6),(5,6)],7)
[3,5,7,6,2,4,1]=>[1,2,4,3,5,7,6]=>[1,2,4,3,5,7,6]=>([(3,6),(4,5)],7)
[3,5,7,6,4,1,2]=>[1,2,3,5,7,4,6]=>[1,2,3,7,5,4,6]=>([(3,6),(4,5),(4,6),(5,6)],7)
[3,5,7,6,4,2,1]=>[1,2,3,5,7,4,6]=>[1,2,3,7,5,4,6]=>([(3,6),(4,5),(4,6),(5,6)],7)
[3,6,1,2,4,5,7]=>[1,2,4,5,7,3,6]=>[1,2,7,4,5,3,6]=>([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,6,1,2,4,7,5]=>[1,2,4,7,3,6,5]=>[1,2,7,4,6,3,5]=>([(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[3,6,1,2,5,4,7]=>[1,2,5,3,6,4,7]=>[1,2,5,6,3,4,7]=>([(3,5),(3,6),(4,5),(4,6)],7)
[3,6,1,2,5,7,4]=>[1,2,5,7,3,6,4]=>[1,2,7,6,5,3,4]=>([(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,6,1,2,7,4,5]=>[1,2,7,3,6,4,5]=>[1,2,7,6,4,3,5]=>([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,6,1,2,7,5,4]=>[1,2,7,3,6,4,5]=>[1,2,7,6,4,3,5]=>([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,6,1,4,2,5,7]=>[1,4,2,5,7,3,6]=>[1,4,7,2,5,3,6]=>([(1,6),(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7)
[3,6,1,4,2,7,5]=>[1,4,2,7,3,6,5]=>[1,4,7,2,6,3,5]=>([(1,2),(1,6),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,6,1,4,5,2,7]=>[1,4,5,2,7,3,6]=>[1,5,7,4,2,3,6]=>([(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,6,1,4,5,7,2]=>[1,4,5,7,2,3,6]=>[1,7,2,4,5,3,6]=>([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,6,1,4,7,2,5]=>[1,4,7,2,5,3,6]=>[1,7,5,4,2,3,6]=>([(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,6,1,4,7,5,2]=>[1,4,7,2,3,6,5]=>[1,7,2,4,6,3,5]=>([(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[3,6,1,5,2,4,7]=>[1,5,2,4,7,3,6]=>[1,5,7,2,4,3,6]=>([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[3,6,1,5,2,7,4]=>[1,5,2,7,3,6,4]=>[1,5,7,6,2,3,4]=>([(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,6,1,5,4,2,7]=>[1,5,2,7,3,6,4]=>[1,5,7,6,2,3,4]=>([(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,6,1,5,4,7,2]=>[1,5,2,3,6,4,7]=>[1,5,2,6,3,4,7]=>([(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[3,6,1,5,7,2,4]=>[1,5,7,2,4,3,6]=>[1,7,4,2,5,3,6]=>([(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[3,6,1,5,7,4,2]=>[1,5,7,2,3,6,4]=>[1,7,2,6,5,3,4]=>([(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,6,1,7,2,4,5]=>[1,7,2,4,5,3,6]=>[1,7,5,2,4,3,6]=>([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,6,1,7,2,5,4]=>[1,7,2,5,3,6,4]=>[1,7,5,6,2,3,4]=>([(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[3,6,1,7,4,2,5]=>[1,7,2,5,3,6,4]=>[1,7,5,6,2,3,4]=>([(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[3,6,1,7,4,5,2]=>[1,7,2,3,6,4,5]=>[1,7,2,6,4,3,5]=>([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,6,1,7,5,2,4]=>[1,7,2,4,3,6,5]=>[1,7,4,2,6,3,5]=>([(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[3,6,1,7,5,4,2]=>[1,7,2,3,6,4,5]=>[1,7,2,6,4,3,5]=>([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,6,2,1,4,5,7]=>[1,4,5,7,2,3,6]=>[1,7,2,4,5,3,6]=>([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,6,2,1,4,7,5]=>[1,4,7,2,3,6,5]=>[1,7,2,4,6,3,5]=>([(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[3,6,2,1,5,4,7]=>[1,5,2,3,6,4,7]=>[1,5,2,6,3,4,7]=>([(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[3,6,2,1,5,7,4]=>[1,5,7,2,3,6,4]=>[1,7,2,6,5,3,4]=>([(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,6,2,1,7,4,5]=>[1,7,2,3,6,4,5]=>[1,7,2,6,4,3,5]=>([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,6,2,1,7,5,4]=>[1,7,2,3,6,4,5]=>[1,7,2,6,4,3,5]=>([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,6,2,4,1,5,7]=>[1,5,7,2,4,3,6]=>[1,7,4,2,5,3,6]=>([(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[3,6,2,4,1,7,5]=>[1,7,2,4,3,6,5]=>[1,7,4,2,6,3,5]=>([(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[3,6,2,4,5,1,7]=>[1,7,2,4,5,3,6]=>[1,7,5,2,4,3,6]=>([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,6,2,4,5,7,1]=>[1,2,4,5,7,3,6]=>[1,2,7,4,5,3,6]=>([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,6,2,4,7,1,5]=>[1,5,2,4,7,3,6]=>[1,5,7,2,4,3,6]=>([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[3,6,2,4,7,5,1]=>[1,2,4,7,3,6,5]=>[1,2,7,4,6,3,5]=>([(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[3,6,2,5,1,4,7]=>[1,4,7,2,5,3,6]=>[1,7,5,4,2,3,6]=>([(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,6,2,5,1,7,4]=>[1,7,2,5,3,6,4]=>[1,7,5,6,2,3,4]=>([(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[3,6,2,5,4,1,7]=>[1,7,2,5,3,6,4]=>[1,7,5,6,2,3,4]=>([(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[3,6,2,5,4,7,1]=>[1,2,5,3,6,4,7]=>[1,2,5,6,3,4,7]=>([(3,5),(3,6),(4,5),(4,6)],7)
[3,6,2,5,7,1,4]=>[1,4,2,5,7,3,6]=>[1,4,7,2,5,3,6]=>([(1,6),(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7)
[3,6,2,5,7,4,1]=>[1,2,5,7,3,6,4]=>[1,2,7,6,5,3,4]=>([(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,6,2,7,1,4,5]=>[1,4,5,2,7,3,6]=>[1,5,7,4,2,3,6]=>([(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,6,2,7,1,5,4]=>[1,5,2,7,3,6,4]=>[1,5,7,6,2,3,4]=>([(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,6,2,7,4,1,5]=>[1,5,2,7,3,6,4]=>[1,5,7,6,2,3,4]=>([(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,6,2,7,4,5,1]=>[1,2,7,3,6,4,5]=>[1,2,7,6,4,3,5]=>([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,6,2,7,5,1,4]=>[1,4,2,7,3,6,5]=>[1,4,7,2,6,3,5]=>([(1,2),(1,6),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,6,2,7,5,4,1]=>[1,2,7,3,6,4,5]=>[1,2,7,6,4,3,5]=>([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,6,4,1,2,5,7]=>[1,2,5,7,3,6,4]=>[1,2,7,6,5,3,4]=>([(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,6,4,1,2,7,5]=>[1,2,7,3,6,4,5]=>[1,2,7,6,4,3,5]=>([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,6,4,1,5,2,7]=>[1,5,2,7,3,6,4]=>[1,5,7,6,2,3,4]=>([(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,6,4,1,5,7,2]=>[1,5,7,2,3,6,4]=>[1,7,2,6,5,3,4]=>([(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,6,4,1,7,2,5]=>[1,7,2,5,3,6,4]=>[1,7,5,6,2,3,4]=>([(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[3,6,4,1,7,5,2]=>[1,7,2,3,6,4,5]=>[1,7,2,6,4,3,5]=>([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,6,4,2,1,5,7]=>[1,5,7,2,3,6,4]=>[1,7,2,6,5,3,4]=>([(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,6,4,2,1,7,5]=>[1,7,2,3,6,4,5]=>[1,7,2,6,4,3,5]=>([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,6,4,2,5,1,7]=>[1,7,2,5,3,6,4]=>[1,7,5,6,2,3,4]=>([(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[3,6,4,2,5,7,1]=>[1,2,5,7,3,6,4]=>[1,2,7,6,5,3,4]=>([(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,6,4,2,7,1,5]=>[1,5,2,7,3,6,4]=>[1,5,7,6,2,3,4]=>([(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,6,4,2,7,5,1]=>[1,2,7,3,6,4,5]=>[1,2,7,6,4,3,5]=>([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,6,4,5,1,2,7]=>[1,2,7,3,6,4,5]=>[1,2,7,6,4,3,5]=>([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,6,4,5,1,7,2]=>[1,7,2,3,6,4,5]=>[1,7,2,6,4,3,5]=>([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,6,4,5,2,1,7]=>[1,7,2,3,6,4,5]=>[1,7,2,6,4,3,5]=>([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,6,4,5,2,7,1]=>[1,2,7,3,6,4,5]=>[1,2,7,6,4,3,5]=>([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,6,4,5,7,1,2]=>[1,2,3,6,4,5,7]=>[1,2,3,6,4,5,7]=>([(4,6),(5,6)],7)
[3,6,4,5,7,2,1]=>[1,2,3,6,4,5,7]=>[1,2,3,6,4,5,7]=>([(4,6),(5,6)],7)
[3,6,4,7,1,2,5]=>[1,2,5,3,6,4,7]=>[1,2,5,6,3,4,7]=>([(3,5),(3,6),(4,5),(4,6)],7)
[3,6,4,7,1,5,2]=>[1,5,2,3,6,4,7]=>[1,5,2,6,3,4,7]=>([(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[3,6,4,7,2,1,5]=>[1,5,2,3,6,4,7]=>[1,5,2,6,3,4,7]=>([(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[3,6,4,7,2,5,1]=>[1,2,5,3,6,4,7]=>[1,2,5,6,3,4,7]=>([(3,5),(3,6),(4,5),(4,6)],7)
[3,6,4,7,5,1,2]=>[1,2,3,6,4,7,5]=>[1,2,3,6,7,4,5]=>([(3,5),(3,6),(4,5),(4,6)],7)
[3,6,4,7,5,2,1]=>[1,2,3,6,4,7,5]=>[1,2,3,6,7,4,5]=>([(3,5),(3,6),(4,5),(4,6)],7)
[3,6,5,1,2,4,7]=>[1,2,4,7,3,6,5]=>[1,2,7,4,6,3,5]=>([(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[3,6,5,1,2,7,4]=>[1,2,7,3,6,4,5]=>[1,2,7,6,4,3,5]=>([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,6,5,1,4,2,7]=>[1,4,2,7,3,6,5]=>[1,4,7,2,6,3,5]=>([(1,2),(1,6),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,6,5,1,4,7,2]=>[1,4,7,2,3,6,5]=>[1,7,2,4,6,3,5]=>([(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[3,6,5,1,7,2,4]=>[1,7,2,4,3,6,5]=>[1,7,4,2,6,3,5]=>([(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[3,6,5,1,7,4,2]=>[1,7,2,3,6,4,5]=>[1,7,2,6,4,3,5]=>([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,6,5,2,1,4,7]=>[1,4,7,2,3,6,5]=>[1,7,2,4,6,3,5]=>([(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[3,6,5,2,1,7,4]=>[1,7,2,3,6,4,5]=>[1,7,2,6,4,3,5]=>([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,6,5,2,4,1,7]=>[1,7,2,4,3,6,5]=>[1,7,4,2,6,3,5]=>([(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[3,6,5,2,4,7,1]=>[1,2,4,7,3,6,5]=>[1,2,7,4,6,3,5]=>([(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[3,6,5,2,7,1,4]=>[1,4,2,7,3,6,5]=>[1,4,7,2,6,3,5]=>([(1,2),(1,6),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,6,5,2,7,4,1]=>[1,2,7,3,6,4,5]=>[1,2,7,6,4,3,5]=>([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,6,5,4,1,2,7]=>[1,2,7,3,6,4,5]=>[1,2,7,6,4,3,5]=>([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,6,5,4,1,7,2]=>[1,7,2,3,6,4,5]=>[1,7,2,6,4,3,5]=>([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,6,5,4,2,1,7]=>[1,7,2,3,6,4,5]=>[1,7,2,6,4,3,5]=>([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,6,5,4,2,7,1]=>[1,2,7,3,6,4,5]=>[1,2,7,6,4,3,5]=>([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,6,5,4,7,1,2]=>[1,2,3,6,4,7,5]=>[1,2,3,6,7,4,5]=>([(3,5),(3,6),(4,5),(4,6)],7)
[3,6,5,4,7,2,1]=>[1,2,3,6,4,7,5]=>[1,2,3,6,7,4,5]=>([(3,5),(3,6),(4,5),(4,6)],7)
[3,6,5,7,1,2,4]=>[1,2,4,3,6,5,7]=>[1,2,4,3,6,5,7]=>([(3,6),(4,5)],7)
[3,6,5,7,1,4,2]=>[1,4,2,3,6,5,7]=>[1,4,2,3,6,5,7]=>([(2,3),(4,6),(5,6)],7)
[3,6,5,7,2,1,4]=>[1,4,2,3,6,5,7]=>[1,4,2,3,6,5,7]=>([(2,3),(4,6),(5,6)],7)
[3,6,5,7,2,4,1]=>[1,2,4,3,6,5,7]=>[1,2,4,3,6,5,7]=>([(3,6),(4,5)],7)
[3,6,5,7,4,1,2]=>[1,2,3,6,4,5,7]=>[1,2,3,6,4,5,7]=>([(4,6),(5,6)],7)
[3,6,5,7,4,2,1]=>[1,2,3,6,4,5,7]=>[1,2,3,6,4,5,7]=>([(4,6),(5,6)],7)
[3,6,7,1,2,4,5]=>[1,2,4,5,3,6,7]=>[1,2,5,4,3,6,7]=>([(4,5),(4,6),(5,6)],7)
[3,6,7,1,2,5,4]=>[1,2,5,3,6,7,4]=>[1,2,5,7,3,6,4]=>([(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7)
[3,6,7,1,4,2,5]=>[1,4,2,5,3,6,7]=>[1,4,5,2,3,6,7]=>([(3,5),(3,6),(4,5),(4,6)],7)
[3,6,7,1,4,5,2]=>[1,4,5,2,3,6,7]=>[1,5,2,4,3,6,7]=>([(3,6),(4,5),(4,6),(5,6)],7)
[3,6,7,1,5,2,4]=>[1,5,2,4,3,6,7]=>[1,5,4,2,3,6,7]=>([(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,6,7,1,5,4,2]=>[1,5,2,3,6,7,4]=>[1,5,2,7,3,6,4]=>([(1,6),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
[3,6,7,2,1,4,5]=>[1,4,5,2,3,6,7]=>[1,5,2,4,3,6,7]=>([(3,6),(4,5),(4,6),(5,6)],7)
[3,6,7,2,1,5,4]=>[1,5,2,3,6,7,4]=>[1,5,2,7,3,6,4]=>([(1,6),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
[3,6,7,2,4,1,5]=>[1,5,2,4,3,6,7]=>[1,5,4,2,3,6,7]=>([(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,6,7,2,4,5,1]=>[1,2,4,5,3,6,7]=>[1,2,5,4,3,6,7]=>([(4,5),(4,6),(5,6)],7)
[3,6,7,2,5,1,4]=>[1,4,2,5,3,6,7]=>[1,4,5,2,3,6,7]=>([(3,5),(3,6),(4,5),(4,6)],7)
[3,6,7,2,5,4,1]=>[1,2,5,3,6,7,4]=>[1,2,5,7,3,6,4]=>([(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7)
[3,6,7,4,1,2,5]=>[1,2,5,3,6,7,4]=>[1,2,5,7,3,6,4]=>([(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7)
[3,6,7,4,1,5,2]=>[1,5,2,3,6,7,4]=>[1,5,2,7,3,6,4]=>([(1,6),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
[3,6,7,4,2,1,5]=>[1,5,2,3,6,7,4]=>[1,5,2,7,3,6,4]=>([(1,6),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
[3,6,7,4,2,5,1]=>[1,2,5,3,6,7,4]=>[1,2,5,7,3,6,4]=>([(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7)
[3,6,7,4,5,1,2]=>[1,2,3,6,7,4,5]=>[1,2,3,7,4,6,5]=>([(3,6),(4,5),(4,6),(5,6)],7)
[3,6,7,4,5,2,1]=>[1,2,3,6,7,4,5]=>[1,2,3,7,4,6,5]=>([(3,6),(4,5),(4,6),(5,6)],7)
[3,6,7,5,1,2,4]=>[1,2,4,3,6,7,5]=>[1,2,4,3,7,6,5]=>([(2,3),(4,5),(4,6),(5,6)],7)
[3,6,7,5,1,4,2]=>[1,4,2,3,6,7,5]=>[1,4,2,3,7,6,5]=>([(1,6),(2,6),(3,4),(3,5),(4,5)],7)
[3,6,7,5,2,1,4]=>[1,4,2,3,6,7,5]=>[1,4,2,3,7,6,5]=>([(1,6),(2,6),(3,4),(3,5),(4,5)],7)
[3,6,7,5,2,4,1]=>[1,2,4,3,6,7,5]=>[1,2,4,3,7,6,5]=>([(2,3),(4,5),(4,6),(5,6)],7)
[3,6,7,5,4,1,2]=>[1,2,3,6,7,4,5]=>[1,2,3,7,4,6,5]=>([(3,6),(4,5),(4,6),(5,6)],7)
[3,6,7,5,4,2,1]=>[1,2,3,6,7,4,5]=>[1,2,3,7,4,6,5]=>([(3,6),(4,5),(4,6),(5,6)],7)
[3,7,1,2,4,5,6]=>[1,2,4,5,6,3,7]=>[1,2,6,4,5,3,7]=>([(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,7,1,2,4,6,5]=>[1,2,4,6,3,7,5]=>[1,2,6,4,7,3,5]=>([(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7)
[3,7,1,2,5,4,6]=>[1,2,5,3,7,4,6]=>[1,2,5,7,3,4,6]=>([(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[3,7,1,2,5,6,4]=>[1,2,5,6,3,7,4]=>[1,2,6,7,5,3,4]=>([(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[3,7,1,2,6,4,5]=>[1,2,6,3,7,4,5]=>[1,2,6,7,4,3,5]=>([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[3,7,1,2,6,5,4]=>[1,2,6,3,7,4,5]=>[1,2,6,7,4,3,5]=>([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[3,7,1,4,2,5,6]=>[1,4,2,5,6,3,7]=>[1,4,6,2,5,3,7]=>([(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7)
[3,7,1,4,2,6,5]=>[1,4,2,6,3,7,5]=>[1,4,6,2,7,3,5]=>([(1,4),(1,6),(2,3),(2,6),(3,5),(4,5),(5,6)],7)
[3,7,1,4,5,2,6]=>[1,4,5,2,6,3,7]=>[1,5,6,4,2,3,7]=>([(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[3,7,1,4,5,6,2]=>[1,4,5,6,2,3,7]=>[1,6,2,4,5,3,7]=>([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,7,1,4,6,2,5]=>[1,4,6,2,5,3,7]=>[1,6,5,4,2,3,7]=>([(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,7,1,4,6,5,2]=>[1,4,6,2,3,7,5]=>[1,6,2,4,7,3,5]=>([(1,6),(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7)
[3,7,1,5,2,4,6]=>[1,5,2,4,6,3,7]=>[1,5,6,2,4,3,7]=>([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[3,7,1,5,2,6,4]=>[1,5,2,6,3,7,4]=>[1,5,6,7,2,3,4]=>([(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)
[3,7,1,5,4,2,6]=>[1,5,2,6,3,7,4]=>[1,5,6,7,2,3,4]=>([(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)
[3,7,1,5,4,6,2]=>[1,5,2,3,7,4,6]=>[1,5,2,7,3,4,6]=>([(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
[3,7,1,5,6,2,4]=>[1,5,6,2,4,3,7]=>[1,6,4,2,5,3,7]=>([(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[3,7,1,5,6,4,2]=>[1,5,6,2,3,7,4]=>[1,6,2,7,5,3,4]=>([(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,7,1,6,2,4,5]=>[1,6,2,4,5,3,7]=>[1,6,5,2,4,3,7]=>([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,7,1,6,2,5,4]=>[1,6,2,5,3,7,4]=>[1,6,5,7,2,3,4]=>([(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,7,1,6,4,2,5]=>[1,6,2,5,3,7,4]=>[1,6,5,7,2,3,4]=>([(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,7,1,6,4,5,2]=>[1,6,2,3,7,4,5]=>[1,6,2,7,4,3,5]=>([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[3,7,1,6,5,2,4]=>[1,6,2,4,3,7,5]=>[1,6,4,2,7,3,5]=>([(1,2),(1,6),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,7,1,6,5,4,2]=>[1,6,2,3,7,4,5]=>[1,6,2,7,4,3,5]=>([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[3,7,2,1,4,5,6]=>[1,4,5,6,2,3,7]=>[1,6,2,4,5,3,7]=>([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,7,2,1,4,6,5]=>[1,4,6,2,3,7,5]=>[1,6,2,4,7,3,5]=>([(1,6),(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7)
[3,7,2,1,5,4,6]=>[1,5,2,3,7,4,6]=>[1,5,2,7,3,4,6]=>([(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
[3,7,2,1,5,6,4]=>[1,5,6,2,3,7,4]=>[1,6,2,7,5,3,4]=>([(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,7,2,1,6,4,5]=>[1,6,2,3,7,4,5]=>[1,6,2,7,4,3,5]=>([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[3,7,2,1,6,5,4]=>[1,6,2,3,7,4,5]=>[1,6,2,7,4,3,5]=>([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[3,7,2,4,1,5,6]=>[1,5,6,2,4,3,7]=>[1,6,4,2,5,3,7]=>([(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[3,7,2,4,1,6,5]=>[1,6,2,4,3,7,5]=>[1,6,4,2,7,3,5]=>([(1,2),(1,6),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,7,2,4,5,1,6]=>[1,6,2,4,5,3,7]=>[1,6,5,2,4,3,7]=>([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,7,2,4,5,6,1]=>[1,2,4,5,6,3,7]=>[1,2,6,4,5,3,7]=>([(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,7,2,4,6,1,5]=>[1,5,2,4,6,3,7]=>[1,5,6,2,4,3,7]=>([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[3,7,2,4,6,5,1]=>[1,2,4,6,3,7,5]=>[1,2,6,4,7,3,5]=>([(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7)
[3,7,2,5,1,4,6]=>[1,4,6,2,5,3,7]=>[1,6,5,4,2,3,7]=>([(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,7,2,5,1,6,4]=>[1,6,2,5,3,7,4]=>[1,6,5,7,2,3,4]=>([(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,7,2,5,4,1,6]=>[1,6,2,5,3,7,4]=>[1,6,5,7,2,3,4]=>([(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,7,2,5,4,6,1]=>[1,2,5,3,7,4,6]=>[1,2,5,7,3,4,6]=>([(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[3,7,2,5,6,1,4]=>[1,4,2,5,6,3,7]=>[1,4,6,2,5,3,7]=>([(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7)
[3,7,2,5,6,4,1]=>[1,2,5,6,3,7,4]=>[1,2,6,7,5,3,4]=>([(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[3,7,2,6,1,4,5]=>[1,4,5,2,6,3,7]=>[1,5,6,4,2,3,7]=>([(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[3,7,2,6,1,5,4]=>[1,5,2,6,3,7,4]=>[1,5,6,7,2,3,4]=>([(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)
[3,7,2,6,4,1,5]=>[1,5,2,6,3,7,4]=>[1,5,6,7,2,3,4]=>([(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)
[3,7,2,6,4,5,1]=>[1,2,6,3,7,4,5]=>[1,2,6,7,4,3,5]=>([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[3,7,2,6,5,1,4]=>[1,4,2,6,3,7,5]=>[1,4,6,2,7,3,5]=>([(1,4),(1,6),(2,3),(2,6),(3,5),(4,5),(5,6)],7)
[3,7,2,6,5,4,1]=>[1,2,6,3,7,4,5]=>[1,2,6,7,4,3,5]=>([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[3,7,4,1,2,5,6]=>[1,2,5,6,3,7,4]=>[1,2,6,7,5,3,4]=>([(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[3,7,4,1,2,6,5]=>[1,2,6,3,7,4,5]=>[1,2,6,7,4,3,5]=>([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[3,7,4,1,5,2,6]=>[1,5,2,6,3,7,4]=>[1,5,6,7,2,3,4]=>([(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)
[3,7,4,1,5,6,2]=>[1,5,6,2,3,7,4]=>[1,6,2,7,5,3,4]=>([(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,7,4,1,6,2,5]=>[1,6,2,5,3,7,4]=>[1,6,5,7,2,3,4]=>([(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,7,4,1,6,5,2]=>[1,6,2,3,7,4,5]=>[1,6,2,7,4,3,5]=>([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[3,7,4,2,1,5,6]=>[1,5,6,2,3,7,4]=>[1,6,2,7,5,3,4]=>([(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,7,4,2,1,6,5]=>[1,6,2,3,7,4,5]=>[1,6,2,7,4,3,5]=>([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[3,7,4,2,5,1,6]=>[1,6,2,5,3,7,4]=>[1,6,5,7,2,3,4]=>([(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,7,4,2,5,6,1]=>[1,2,5,6,3,7,4]=>[1,2,6,7,5,3,4]=>([(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[3,7,4,2,6,1,5]=>[1,5,2,6,3,7,4]=>[1,5,6,7,2,3,4]=>([(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)
[3,7,4,2,6,5,1]=>[1,2,6,3,7,4,5]=>[1,2,6,7,4,3,5]=>([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[3,7,4,5,1,2,6]=>[1,2,6,3,7,4,5]=>[1,2,6,7,4,3,5]=>([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[3,7,4,5,1,6,2]=>[1,6,2,3,7,4,5]=>[1,6,2,7,4,3,5]=>([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[3,7,4,5,2,1,6]=>[1,6,2,3,7,4,5]=>[1,6,2,7,4,3,5]=>([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[3,7,4,5,2,6,1]=>[1,2,6,3,7,4,5]=>[1,2,6,7,4,3,5]=>([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[3,7,4,5,6,1,2]=>[1,2,3,7,4,5,6]=>[1,2,3,7,4,5,6]=>([(3,6),(4,6),(5,6)],7)
[3,7,4,5,6,2,1]=>[1,2,3,7,4,5,6]=>[1,2,3,7,4,5,6]=>([(3,6),(4,6),(5,6)],7)
[3,7,4,6,1,2,5]=>[1,2,5,3,7,4,6]=>[1,2,5,7,3,4,6]=>([(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[3,7,4,6,1,5,2]=>[1,5,2,3,7,4,6]=>[1,5,2,7,3,4,6]=>([(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
[3,7,4,6,2,1,5]=>[1,5,2,3,7,4,6]=>[1,5,2,7,3,4,6]=>([(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
[3,7,4,6,2,5,1]=>[1,2,5,3,7,4,6]=>[1,2,5,7,3,4,6]=>([(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[3,7,4,6,5,1,2]=>[1,2,3,7,4,6,5]=>[1,2,3,7,6,4,5]=>([(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,7,4,6,5,2,1]=>[1,2,3,7,4,6,5]=>[1,2,3,7,6,4,5]=>([(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,7,5,1,2,4,6]=>[1,2,4,6,3,7,5]=>[1,2,6,4,7,3,5]=>([(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7)
[3,7,5,1,2,6,4]=>[1,2,6,3,7,4,5]=>[1,2,6,7,4,3,5]=>([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[3,7,5,1,4,2,6]=>[1,4,2,6,3,7,5]=>[1,4,6,2,7,3,5]=>([(1,4),(1,6),(2,3),(2,6),(3,5),(4,5),(5,6)],7)
[3,7,5,1,4,6,2]=>[1,4,6,2,3,7,5]=>[1,6,2,4,7,3,5]=>([(1,6),(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7)
[3,7,5,1,6,2,4]=>[1,6,2,4,3,7,5]=>[1,6,4,2,7,3,5]=>([(1,2),(1,6),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,7,5,1,6,4,2]=>[1,6,2,3,7,4,5]=>[1,6,2,7,4,3,5]=>([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[3,7,5,2,1,4,6]=>[1,4,6,2,3,7,5]=>[1,6,2,4,7,3,5]=>([(1,6),(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7)
[3,7,5,2,1,6,4]=>[1,6,2,3,7,4,5]=>[1,6,2,7,4,3,5]=>([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[3,7,5,2,4,1,6]=>[1,6,2,4,3,7,5]=>[1,6,4,2,7,3,5]=>([(1,2),(1,6),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,7,5,2,4,6,1]=>[1,2,4,6,3,7,5]=>[1,2,6,4,7,3,5]=>([(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7)
[3,7,5,2,6,1,4]=>[1,4,2,6,3,7,5]=>[1,4,6,2,7,3,5]=>([(1,4),(1,6),(2,3),(2,6),(3,5),(4,5),(5,6)],7)
[3,7,5,2,6,4,1]=>[1,2,6,3,7,4,5]=>[1,2,6,7,4,3,5]=>([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[3,7,5,4,1,2,6]=>[1,2,6,3,7,4,5]=>[1,2,6,7,4,3,5]=>([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[3,7,5,4,1,6,2]=>[1,6,2,3,7,4,5]=>[1,6,2,7,4,3,5]=>([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[3,7,5,4,2,1,6]=>[1,6,2,3,7,4,5]=>[1,6,2,7,4,3,5]=>([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[3,7,5,4,2,6,1]=>[1,2,6,3,7,4,5]=>[1,2,6,7,4,3,5]=>([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[3,7,5,4,6,1,2]=>[1,2,3,7,4,6,5]=>[1,2,3,7,6,4,5]=>([(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,7,5,4,6,2,1]=>[1,2,3,7,4,6,5]=>[1,2,3,7,6,4,5]=>([(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,7,5,6,1,2,4]=>[1,2,4,3,7,5,6]=>[1,2,4,3,7,5,6]=>([(2,3),(4,6),(5,6)],7)
[3,7,5,6,1,4,2]=>[1,4,2,3,7,5,6]=>[1,4,2,3,7,5,6]=>([(1,6),(2,6),(3,5),(4,5)],7)
[3,7,5,6,2,1,4]=>[1,4,2,3,7,5,6]=>[1,4,2,3,7,5,6]=>([(1,6),(2,6),(3,5),(4,5)],7)
[3,7,5,6,2,4,1]=>[1,2,4,3,7,5,6]=>[1,2,4,3,7,5,6]=>([(2,3),(4,6),(5,6)],7)
[3,7,5,6,4,1,2]=>[1,2,3,7,4,5,6]=>[1,2,3,7,4,5,6]=>([(3,6),(4,6),(5,6)],7)
[3,7,5,6,4,2,1]=>[1,2,3,7,4,5,6]=>[1,2,3,7,4,5,6]=>([(3,6),(4,6),(5,6)],7)
[3,7,6,1,2,4,5]=>[1,2,4,5,3,7,6]=>[1,2,5,4,3,7,6]=>([(2,3),(4,5),(4,6),(5,6)],7)
[3,7,6,1,2,5,4]=>[1,2,5,3,7,4,6]=>[1,2,5,7,3,4,6]=>([(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[3,7,6,1,4,2,5]=>[1,4,2,5,3,7,6]=>[1,4,5,2,3,7,6]=>([(1,2),(3,5),(3,6),(4,5),(4,6)],7)
[3,7,6,1,4,5,2]=>[1,4,5,2,3,7,6]=>[1,5,2,4,3,7,6]=>([(1,2),(3,6),(4,5),(4,6),(5,6)],7)
[3,7,6,1,5,2,4]=>[1,5,2,4,3,7,6]=>[1,5,4,2,3,7,6]=>([(1,2),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,7,6,1,5,4,2]=>[1,5,2,3,7,4,6]=>[1,5,2,7,3,4,6]=>([(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
[3,7,6,2,1,4,5]=>[1,4,5,2,3,7,6]=>[1,5,2,4,3,7,6]=>([(1,2),(3,6),(4,5),(4,6),(5,6)],7)
[3,7,6,2,1,5,4]=>[1,5,2,3,7,4,6]=>[1,5,2,7,3,4,6]=>([(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
[3,7,6,2,4,1,5]=>[1,5,2,4,3,7,6]=>[1,5,4,2,3,7,6]=>([(1,2),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[3,7,6,2,4,5,1]=>[1,2,4,5,3,7,6]=>[1,2,5,4,3,7,6]=>([(2,3),(4,5),(4,6),(5,6)],7)
[3,7,6,2,5,1,4]=>[1,4,2,5,3,7,6]=>[1,4,5,2,3,7,6]=>([(1,2),(3,5),(3,6),(4,5),(4,6)],7)
[3,7,6,2,5,4,1]=>[1,2,5,3,7,4,6]=>[1,2,5,7,3,4,6]=>([(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[3,7,6,4,1,2,5]=>[1,2,5,3,7,4,6]=>[1,2,5,7,3,4,6]=>([(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[3,7,6,4,1,5,2]=>[1,5,2,3,7,4,6]=>[1,5,2,7,3,4,6]=>([(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
[3,7,6,4,2,1,5]=>[1,5,2,3,7,4,6]=>[1,5,2,7,3,4,6]=>([(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
[3,7,6,4,2,5,1]=>[1,2,5,3,7,4,6]=>[1,2,5,7,3,4,6]=>([(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[3,7,6,4,5,1,2]=>[1,2,3,7,4,5,6]=>[1,2,3,7,4,5,6]=>([(3,6),(4,6),(5,6)],7)
[3,7,6,4,5,2,1]=>[1,2,3,7,4,5,6]=>[1,2,3,7,4,5,6]=>([(3,6),(4,6),(5,6)],7)
[3,7,6,5,1,2,4]=>[1,2,4,3,7,5,6]=>[1,2,4,3,7,5,6]=>([(2,3),(4,6),(5,6)],7)
[3,7,6,5,1,4,2]=>[1,4,2,3,7,5,6]=>[1,4,2,3,7,5,6]=>([(1,6),(2,6),(3,5),(4,5)],7)
[3,7,6,5,2,1,4]=>[1,4,2,3,7,5,6]=>[1,4,2,3,7,5,6]=>([(1,6),(2,6),(3,5),(4,5)],7)
[3,7,6,5,2,4,1]=>[1,2,4,3,7,5,6]=>[1,2,4,3,7,5,6]=>([(2,3),(4,6),(5,6)],7)
[3,7,6,5,4,1,2]=>[1,2,3,7,4,5,6]=>[1,2,3,7,4,5,6]=>([(3,6),(4,6),(5,6)],7)
[3,7,6,5,4,2,1]=>[1,2,3,7,4,5,6]=>[1,2,3,7,4,5,6]=>([(3,6),(4,6),(5,6)],7)
[4,1,2,3,5,6,7]=>[1,2,3,5,6,7,4]=>[1,2,3,7,5,6,4]=>([(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,1,2,3,5,7,6]=>[1,2,3,5,7,4,6]=>[1,2,3,7,5,4,6]=>([(3,6),(4,5),(4,6),(5,6)],7)
[4,1,2,3,6,5,7]=>[1,2,3,6,4,5,7]=>[1,2,3,6,4,5,7]=>([(4,6),(5,6)],7)
[4,1,2,3,6,7,5]=>[1,2,3,6,7,4,5]=>[1,2,3,7,4,6,5]=>([(3,6),(4,5),(4,6),(5,6)],7)
[4,1,2,3,7,5,6]=>[1,2,3,7,4,5,6]=>[1,2,3,7,4,5,6]=>([(3,6),(4,6),(5,6)],7)
[4,1,2,3,7,6,5]=>[1,2,3,7,4,5,6]=>[1,2,3,7,4,5,6]=>([(3,6),(4,6),(5,6)],7)
[4,1,2,5,3,6,7]=>[1,2,5,3,6,7,4]=>[1,2,5,7,3,6,4]=>([(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7)
[4,1,2,5,3,7,6]=>[1,2,5,3,7,4,6]=>[1,2,5,7,3,4,6]=>([(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[4,1,2,5,6,3,7]=>[1,2,5,6,3,7,4]=>[1,2,6,7,5,3,4]=>([(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[4,1,2,5,6,7,3]=>[1,2,5,6,7,3,4]=>[1,2,7,3,5,6,4]=>([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,1,2,5,7,3,6]=>[1,2,5,7,3,6,4]=>[1,2,7,6,5,3,4]=>([(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,1,2,5,7,6,3]=>[1,2,5,7,3,4,6]=>[1,2,7,3,5,4,6]=>([(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[4,1,2,6,3,5,7]=>[1,2,6,3,5,7,4]=>[1,2,6,7,3,5,4]=>([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[4,1,2,6,3,7,5]=>[1,2,6,3,7,4,5]=>[1,2,6,7,4,3,5]=>([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[4,1,2,6,5,3,7]=>[1,2,6,3,7,4,5]=>[1,2,6,7,4,3,5]=>([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[4,1,2,6,5,7,3]=>[1,2,6,3,4,5,7]=>[1,2,6,3,4,5,7]=>([(3,6),(4,6),(5,6)],7)
[4,1,2,6,7,3,5]=>[1,2,6,7,3,5,4]=>[1,2,7,5,3,6,4]=>([(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[4,1,2,6,7,5,3]=>[1,2,6,7,3,4,5]=>[1,2,7,3,4,6,5]=>([(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[4,1,2,7,3,5,6]=>[1,2,7,3,5,6,4]=>[1,2,7,6,3,5,4]=>([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,1,2,7,3,6,5]=>[1,2,7,3,6,4,5]=>[1,2,7,6,4,3,5]=>([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,1,2,7,5,3,6]=>[1,2,7,3,6,4,5]=>[1,2,7,6,4,3,5]=>([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,1,2,7,5,6,3]=>[1,2,7,3,4,5,6]=>[1,2,7,3,4,5,6]=>([(2,6),(3,6),(4,6),(5,6)],7)
[4,1,2,7,6,3,5]=>[1,2,7,3,5,4,6]=>[1,2,7,5,3,4,6]=>([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,1,2,7,6,5,3]=>[1,2,7,3,4,5,6]=>[1,2,7,3,4,5,6]=>([(2,6),(3,6),(4,6),(5,6)],7)
[4,1,3,2,5,6,7]=>[1,3,2,5,6,7,4]=>[1,3,2,7,5,6,4]=>([(1,2),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,1,3,2,5,7,6]=>[1,3,2,5,7,4,6]=>[1,3,2,7,5,4,6]=>([(1,2),(3,6),(4,5),(4,6),(5,6)],7)
[4,1,3,2,6,5,7]=>[1,3,2,6,4,5,7]=>[1,3,2,6,4,5,7]=>([(2,3),(4,6),(5,6)],7)
[4,1,3,2,6,7,5]=>[1,3,2,6,7,4,5]=>[1,3,2,7,4,6,5]=>([(1,2),(3,6),(4,5),(4,6),(5,6)],7)
[4,1,3,2,7,5,6]=>[1,3,2,7,4,5,6]=>[1,3,2,7,4,5,6]=>([(1,2),(3,6),(4,6),(5,6)],7)
[4,1,3,2,7,6,5]=>[1,3,2,7,4,5,6]=>[1,3,2,7,4,5,6]=>([(1,2),(3,6),(4,6),(5,6)],7)
[4,1,3,5,2,6,7]=>[1,3,5,2,6,7,4]=>[1,5,3,7,2,6,4]=>([(1,5),(1,6),(2,3),(2,4),(3,4),(3,6),(4,5),(5,6)],7)
[4,1,3,5,2,7,6]=>[1,3,5,2,7,4,6]=>[1,5,3,7,2,4,6]=>([(1,6),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
[4,1,3,5,6,2,7]=>[1,3,5,6,2,7,4]=>[1,6,3,7,5,2,4]=>([(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
[4,1,3,5,6,7,2]=>[1,3,5,6,7,2,4]=>[1,7,3,2,5,6,4]=>([(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,1,3,5,7,2,6]=>[1,3,5,7,2,6,4]=>[1,7,3,6,5,2,4]=>([(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,1,3,5,7,6,2]=>[1,3,5,7,2,4,6]=>[1,7,3,2,5,4,6]=>([(1,6),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7)
[4,1,3,6,2,5,7]=>[1,3,6,2,5,7,4]=>[1,6,3,7,2,5,4]=>([(1,5),(1,6),(2,3),(2,4),(2,5),(3,4),(3,6),(4,6),(5,6)],7)
[4,1,3,6,2,7,5]=>[1,3,6,2,7,4,5]=>[1,6,3,7,4,2,5]=>([(1,5),(1,6),(2,3),(2,5),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[4,1,3,6,5,2,7]=>[1,3,6,2,7,4,5]=>[1,6,3,7,4,2,5]=>([(1,5),(1,6),(2,3),(2,5),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[4,1,3,6,5,7,2]=>[1,3,6,2,4,5,7]=>[1,6,3,2,4,5,7]=>([(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[4,1,3,6,7,2,5]=>[1,3,6,7,2,5,4]=>[1,7,3,5,2,6,4]=>([(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[4,1,3,6,7,5,2]=>[1,3,6,7,2,4,5]=>[1,7,3,2,4,6,5]=>([(1,6),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7)
[4,1,3,7,2,5,6]=>[1,3,7,2,5,6,4]=>[1,7,3,6,2,5,4]=>([(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,1,3,7,2,6,5]=>[1,3,7,2,6,4,5]=>[1,7,3,6,4,2,5]=>([(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,1,3,7,5,2,6]=>[1,3,7,2,6,4,5]=>[1,7,3,6,4,2,5]=>([(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,1,3,7,5,6,2]=>[1,3,7,2,4,5,6]=>[1,7,3,2,4,5,6]=>([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[4,1,3,7,6,2,5]=>[1,3,7,2,5,4,6]=>[1,7,3,5,2,4,6]=>([(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[4,1,3,7,6,5,2]=>[1,3,7,2,4,5,6]=>[1,7,3,2,4,5,6]=>([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[4,1,5,2,3,6,7]=>[1,5,2,3,6,7,4]=>[1,5,2,7,3,6,4]=>([(1,6),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
[4,1,5,2,3,7,6]=>[1,5,2,3,7,4,6]=>[1,5,2,7,3,4,6]=>([(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
[4,1,5,2,6,3,7]=>[1,5,2,6,3,7,4]=>[1,5,6,7,2,3,4]=>([(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)
[4,1,5,2,6,7,3]=>[1,5,2,6,7,3,4]=>[1,5,7,3,2,6,4]=>([(1,5),(1,6),(2,3),(2,4),(2,5),(3,4),(3,6),(4,6),(5,6)],7)
[4,1,5,2,7,3,6]=>[1,5,2,7,3,6,4]=>[1,5,7,6,2,3,4]=>([(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,1,5,2,7,6,3]=>[1,5,2,7,3,4,6]=>[1,5,7,3,2,4,6]=>([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[4,1,5,3,2,6,7]=>[1,5,2,6,7,3,4]=>[1,5,7,3,2,6,4]=>([(1,5),(1,6),(2,3),(2,4),(2,5),(3,4),(3,6),(4,6),(5,6)],7)
[4,1,5,3,2,7,6]=>[1,5,2,7,3,4,6]=>[1,5,7,3,2,4,6]=>([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[4,1,5,3,6,2,7]=>[1,5,2,7,3,6,4]=>[1,5,7,6,2,3,4]=>([(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,1,5,3,6,7,2]=>[1,5,2,3,6,7,4]=>[1,5,2,7,3,6,4]=>([(1,6),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
[4,1,5,3,7,2,6]=>[1,5,2,6,3,7,4]=>[1,5,6,7,2,3,4]=>([(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)
[4,1,5,3,7,6,2]=>[1,5,2,3,7,4,6]=>[1,5,2,7,3,4,6]=>([(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
[4,1,5,6,2,3,7]=>[1,5,6,2,3,7,4]=>[1,6,2,7,5,3,4]=>([(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,1,5,6,2,7,3]=>[1,5,6,2,7,3,4]=>[1,6,7,3,5,2,4]=>([(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[4,1,5,6,3,2,7]=>[1,5,6,2,7,3,4]=>[1,6,7,3,5,2,4]=>([(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[4,1,5,6,3,7,2]=>[1,5,6,2,3,7,4]=>[1,6,2,7,5,3,4]=>([(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,1,5,6,7,2,3]=>[1,5,6,7,2,3,4]=>[1,7,2,3,5,6,4]=>([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,1,5,6,7,3,2]=>[1,5,6,7,2,3,4]=>[1,7,2,3,5,6,4]=>([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,1,5,7,2,3,6]=>[1,5,7,2,3,6,4]=>[1,7,2,6,5,3,4]=>([(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,1,5,7,2,6,3]=>[1,5,7,2,6,3,4]=>[1,7,6,3,5,2,4]=>([(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,1,5,7,3,2,6]=>[1,5,7,2,6,3,4]=>[1,7,6,3,5,2,4]=>([(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,1,5,7,3,6,2]=>[1,5,7,2,3,6,4]=>[1,7,2,6,5,3,4]=>([(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,1,5,7,6,2,3]=>[1,5,7,2,3,4,6]=>[1,7,2,3,5,4,6]=>([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[4,1,5,7,6,3,2]=>[1,5,7,2,3,4,6]=>[1,7,2,3,5,4,6]=>([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[4,1,6,2,3,5,7]=>[1,6,2,3,5,7,4]=>[1,6,2,7,3,5,4]=>([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[4,1,6,2,3,7,5]=>[1,6,2,3,7,4,5]=>[1,6,2,7,4,3,5]=>([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[4,1,6,2,5,3,7]=>[1,6,2,5,3,7,4]=>[1,6,5,7,2,3,4]=>([(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,1,6,2,5,7,3]=>[1,6,2,5,7,3,4]=>[1,6,7,3,2,5,4]=>([(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[4,1,6,2,7,3,5]=>[1,6,2,7,3,5,4]=>[1,6,7,5,3,2,4]=>([(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[4,1,6,2,7,5,3]=>[1,6,2,7,3,4,5]=>[1,6,7,3,4,2,5]=>([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[4,1,6,3,2,5,7]=>[1,6,2,5,7,3,4]=>[1,6,7,3,2,5,4]=>([(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[4,1,6,3,2,7,5]=>[1,6,2,7,3,4,5]=>[1,6,7,3,4,2,5]=>([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[4,1,6,3,5,2,7]=>[1,6,2,7,3,5,4]=>[1,6,7,5,3,2,4]=>([(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[4,1,6,3,5,7,2]=>[1,6,2,3,5,7,4]=>[1,6,2,7,3,5,4]=>([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[4,1,6,3,7,2,5]=>[1,6,2,5,3,7,4]=>[1,6,5,7,2,3,4]=>([(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,1,6,3,7,5,2]=>[1,6,2,3,7,4,5]=>[1,6,2,7,4,3,5]=>([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[4,1,6,5,2,3,7]=>[1,6,2,3,7,4,5]=>[1,6,2,7,4,3,5]=>([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[4,1,6,5,2,7,3]=>[1,6,2,7,3,4,5]=>[1,6,7,3,4,2,5]=>([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[4,1,6,5,3,2,7]=>[1,6,2,7,3,4,5]=>[1,6,7,3,4,2,5]=>([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[4,1,6,5,3,7,2]=>[1,6,2,3,7,4,5]=>[1,6,2,7,4,3,5]=>([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[4,1,6,5,7,2,3]=>[1,6,2,3,4,5,7]=>[1,6,2,3,4,5,7]=>([(2,6),(3,6),(4,6),(5,6)],7)
[4,1,6,5,7,3,2]=>[1,6,2,3,4,5,7]=>[1,6,2,3,4,5,7]=>([(2,6),(3,6),(4,6),(5,6)],7)
[4,1,6,7,2,3,5]=>[1,6,7,2,3,5,4]=>[1,7,2,5,3,6,4]=>([(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[4,1,6,7,2,5,3]=>[1,6,7,2,5,3,4]=>[1,7,5,3,2,6,4]=>([(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,1,6,7,3,2,5]=>[1,6,7,2,5,3,4]=>[1,7,5,3,2,6,4]=>([(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,1,6,7,3,5,2]=>[1,6,7,2,3,5,4]=>[1,7,2,5,3,6,4]=>([(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[4,1,6,7,5,2,3]=>[1,6,7,2,3,4,5]=>[1,7,2,3,4,6,5]=>([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[4,1,6,7,5,3,2]=>[1,6,7,2,3,4,5]=>[1,7,2,3,4,6,5]=>([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[4,1,7,2,3,5,6]=>[1,7,2,3,5,6,4]=>[1,7,2,6,3,5,4]=>([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,1,7,2,3,6,5]=>[1,7,2,3,6,4,5]=>[1,7,2,6,4,3,5]=>([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,1,7,2,5,3,6]=>[1,7,2,5,3,6,4]=>[1,7,5,6,2,3,4]=>([(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[4,1,7,2,5,6,3]=>[1,7,2,5,6,3,4]=>[1,7,6,3,2,5,4]=>([(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,1,7,2,6,3,5]=>[1,7,2,6,3,5,4]=>[1,7,6,5,3,2,4]=>([(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,1,7,2,6,5,3]=>[1,7,2,6,3,4,5]=>[1,7,6,3,4,2,5]=>([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,1,7,3,2,5,6]=>[1,7,2,5,6,3,4]=>[1,7,6,3,2,5,4]=>([(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,1,7,3,2,6,5]=>[1,7,2,6,3,4,5]=>[1,7,6,3,4,2,5]=>([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,1,7,3,5,2,6]=>[1,7,2,6,3,5,4]=>[1,7,6,5,3,2,4]=>([(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,1,7,3,5,6,2]=>[1,7,2,3,5,6,4]=>[1,7,2,6,3,5,4]=>([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,1,7,3,6,2,5]=>[1,7,2,5,3,6,4]=>[1,7,5,6,2,3,4]=>([(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[4,1,7,3,6,5,2]=>[1,7,2,3,6,4,5]=>[1,7,2,6,4,3,5]=>([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,1,7,5,2,3,6]=>[1,7,2,3,6,4,5]=>[1,7,2,6,4,3,5]=>([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,1,7,5,2,6,3]=>[1,7,2,6,3,4,5]=>[1,7,6,3,4,2,5]=>([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,1,7,5,3,2,6]=>[1,7,2,6,3,4,5]=>[1,7,6,3,4,2,5]=>([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,1,7,5,3,6,2]=>[1,7,2,3,6,4,5]=>[1,7,2,6,4,3,5]=>([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,1,7,5,6,2,3]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[4,1,7,5,6,3,2]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[4,1,7,6,2,3,5]=>[1,7,2,3,5,4,6]=>[1,7,2,5,3,4,6]=>([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,1,7,6,2,5,3]=>[1,7,2,5,3,4,6]=>[1,7,5,3,2,4,6]=>([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,1,7,6,3,2,5]=>[1,7,2,5,3,4,6]=>[1,7,5,3,2,4,6]=>([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,1,7,6,3,5,2]=>[1,7,2,3,5,4,6]=>[1,7,2,5,3,4,6]=>([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,1,7,6,5,2,3]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[4,1,7,6,5,3,2]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[4,2,1,3,5,6,7]=>[1,3,5,6,7,2,4]=>[1,7,3,2,5,6,4]=>([(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,2,1,3,5,7,6]=>[1,3,5,7,2,4,6]=>[1,7,3,2,5,4,6]=>([(1,6),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7)
[4,2,1,3,6,5,7]=>[1,3,6,2,4,5,7]=>[1,6,3,2,4,5,7]=>([(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[4,2,1,3,6,7,5]=>[1,3,6,7,2,4,5]=>[1,7,3,2,4,6,5]=>([(1,6),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7)
[4,2,1,3,7,5,6]=>[1,3,7,2,4,5,6]=>[1,7,3,2,4,5,6]=>([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[4,2,1,3,7,6,5]=>[1,3,7,2,4,5,6]=>[1,7,3,2,4,5,6]=>([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[4,2,1,5,3,6,7]=>[1,5,2,3,6,7,4]=>[1,5,2,7,3,6,4]=>([(1,6),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
[4,2,1,5,3,7,6]=>[1,5,2,3,7,4,6]=>[1,5,2,7,3,4,6]=>([(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
[4,2,1,5,6,3,7]=>[1,5,6,2,3,7,4]=>[1,6,2,7,5,3,4]=>([(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,2,1,5,6,7,3]=>[1,5,6,7,2,3,4]=>[1,7,2,3,5,6,4]=>([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,2,1,5,7,3,6]=>[1,5,7,2,3,6,4]=>[1,7,2,6,5,3,4]=>([(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,2,1,5,7,6,3]=>[1,5,7,2,3,4,6]=>[1,7,2,3,5,4,6]=>([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[4,2,1,6,3,5,7]=>[1,6,2,3,5,7,4]=>[1,6,2,7,3,5,4]=>([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[4,2,1,6,3,7,5]=>[1,6,2,3,7,4,5]=>[1,6,2,7,4,3,5]=>([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[4,2,1,6,5,3,7]=>[1,6,2,3,7,4,5]=>[1,6,2,7,4,3,5]=>([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[4,2,1,6,5,7,3]=>[1,6,2,3,4,5,7]=>[1,6,2,3,4,5,7]=>([(2,6),(3,6),(4,6),(5,6)],7)
[4,2,1,6,7,3,5]=>[1,6,7,2,3,5,4]=>[1,7,2,5,3,6,4]=>([(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[4,2,1,6,7,5,3]=>[1,6,7,2,3,4,5]=>[1,7,2,3,4,6,5]=>([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[4,2,1,7,3,5,6]=>[1,7,2,3,5,6,4]=>[1,7,2,6,3,5,4]=>([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,2,1,7,3,6,5]=>[1,7,2,3,6,4,5]=>[1,7,2,6,4,3,5]=>([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,2,1,7,5,3,6]=>[1,7,2,3,6,4,5]=>[1,7,2,6,4,3,5]=>([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,2,1,7,5,6,3]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[4,2,1,7,6,3,5]=>[1,7,2,3,5,4,6]=>[1,7,2,5,3,4,6]=>([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,2,1,7,6,5,3]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[4,2,3,1,5,6,7]=>[1,5,6,7,2,3,4]=>[1,7,2,3,5,6,4]=>([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,2,3,1,5,7,6]=>[1,5,7,2,3,4,6]=>[1,7,2,3,5,4,6]=>([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[4,2,3,1,6,5,7]=>[1,6,2,3,4,5,7]=>[1,6,2,3,4,5,7]=>([(2,6),(3,6),(4,6),(5,6)],7)
[4,2,3,1,6,7,5]=>[1,6,7,2,3,4,5]=>[1,7,2,3,4,6,5]=>([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[4,2,3,1,7,5,6]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[4,2,3,1,7,6,5]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[4,2,3,5,1,6,7]=>[1,6,7,2,3,5,4]=>[1,7,2,5,3,6,4]=>([(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[4,2,3,5,1,7,6]=>[1,7,2,3,5,4,6]=>[1,7,2,5,3,4,6]=>([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,2,3,5,6,1,7]=>[1,7,2,3,5,6,4]=>[1,7,2,6,3,5,4]=>([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,2,3,5,6,7,1]=>[1,2,3,5,6,7,4]=>[1,2,3,7,5,6,4]=>([(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,2,3,5,7,1,6]=>[1,6,2,3,5,7,4]=>[1,6,2,7,3,5,4]=>([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[4,2,3,5,7,6,1]=>[1,2,3,5,7,4,6]=>[1,2,3,7,5,4,6]=>([(3,6),(4,5),(4,6),(5,6)],7)
[4,2,3,6,1,5,7]=>[1,5,7,2,3,6,4]=>[1,7,2,6,5,3,4]=>([(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,2,3,6,1,7,5]=>[1,7,2,3,6,4,5]=>[1,7,2,6,4,3,5]=>([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,2,3,6,5,1,7]=>[1,7,2,3,6,4,5]=>[1,7,2,6,4,3,5]=>([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,2,3,6,5,7,1]=>[1,2,3,6,4,5,7]=>[1,2,3,6,4,5,7]=>([(4,6),(5,6)],7)
[4,2,3,6,7,1,5]=>[1,5,2,3,6,7,4]=>[1,5,2,7,3,6,4]=>([(1,6),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
[4,2,3,6,7,5,1]=>[1,2,3,6,7,4,5]=>[1,2,3,7,4,6,5]=>([(3,6),(4,5),(4,6),(5,6)],7)
[4,2,3,7,1,5,6]=>[1,5,6,2,3,7,4]=>[1,6,2,7,5,3,4]=>([(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,2,3,7,1,6,5]=>[1,6,2,3,7,4,5]=>[1,6,2,7,4,3,5]=>([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[4,2,3,7,5,1,6]=>[1,6,2,3,7,4,5]=>[1,6,2,7,4,3,5]=>([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[4,2,3,7,5,6,1]=>[1,2,3,7,4,5,6]=>[1,2,3,7,4,5,6]=>([(3,6),(4,6),(5,6)],7)
[4,2,3,7,6,1,5]=>[1,5,2,3,7,4,6]=>[1,5,2,7,3,4,6]=>([(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
[4,2,3,7,6,5,1]=>[1,2,3,7,4,5,6]=>[1,2,3,7,4,5,6]=>([(3,6),(4,6),(5,6)],7)
[4,2,5,1,3,6,7]=>[1,3,6,7,2,5,4]=>[1,7,3,5,2,6,4]=>([(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[4,2,5,1,3,7,6]=>[1,3,7,2,5,4,6]=>[1,7,3,5,2,4,6]=>([(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[4,2,5,1,6,3,7]=>[1,6,2,5,3,7,4]=>[1,6,5,7,2,3,4]=>([(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,2,5,1,6,7,3]=>[1,6,7,2,5,3,4]=>[1,7,5,3,2,6,4]=>([(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,2,5,1,7,3,6]=>[1,7,2,5,3,6,4]=>[1,7,5,6,2,3,4]=>([(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[4,2,5,1,7,6,3]=>[1,7,2,5,3,4,6]=>[1,7,5,3,2,4,6]=>([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,2,5,3,1,6,7]=>[1,6,7,2,5,3,4]=>[1,7,5,3,2,6,4]=>([(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,2,5,3,1,7,6]=>[1,7,2,5,3,4,6]=>[1,7,5,3,2,4,6]=>([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,2,5,3,6,1,7]=>[1,7,2,5,3,6,4]=>[1,7,5,6,2,3,4]=>([(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[4,2,5,3,6,7,1]=>[1,2,5,3,6,7,4]=>[1,2,5,7,3,6,4]=>([(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7)
[4,2,5,3,7,1,6]=>[1,6,2,5,3,7,4]=>[1,6,5,7,2,3,4]=>([(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,2,5,3,7,6,1]=>[1,2,5,3,7,4,6]=>[1,2,5,7,3,4,6]=>([(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[4,2,5,6,1,3,7]=>[1,3,7,2,5,6,4]=>[1,7,3,6,2,5,4]=>([(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,2,5,6,1,7,3]=>[1,7,2,5,6,3,4]=>[1,7,6,3,2,5,4]=>([(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,2,5,6,3,1,7]=>[1,7,2,5,6,3,4]=>[1,7,6,3,2,5,4]=>([(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,2,5,6,3,7,1]=>[1,2,5,6,3,7,4]=>[1,2,6,7,5,3,4]=>([(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[4,2,5,6,7,1,3]=>[1,3,2,5,6,7,4]=>[1,3,2,7,5,6,4]=>([(1,2),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,2,5,6,7,3,1]=>[1,2,5,6,7,3,4]=>[1,2,7,3,5,6,4]=>([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,2,5,7,1,3,6]=>[1,3,6,2,5,7,4]=>[1,6,3,7,2,5,4]=>([(1,5),(1,6),(2,3),(2,4),(2,5),(3,4),(3,6),(4,6),(5,6)],7)
[4,2,5,7,1,6,3]=>[1,6,2,5,7,3,4]=>[1,6,7,3,2,5,4]=>([(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[4,2,5,7,3,1,6]=>[1,6,2,5,7,3,4]=>[1,6,7,3,2,5,4]=>([(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[4,2,5,7,3,6,1]=>[1,2,5,7,3,6,4]=>[1,2,7,6,5,3,4]=>([(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,2,5,7,6,1,3]=>[1,3,2,5,7,4,6]=>[1,3,2,7,5,4,6]=>([(1,2),(3,6),(4,5),(4,6),(5,6)],7)
[4,2,5,7,6,3,1]=>[1,2,5,7,3,4,6]=>[1,2,7,3,5,4,6]=>([(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[4,2,6,1,3,5,7]=>[1,3,5,7,2,6,4]=>[1,7,3,6,5,2,4]=>([(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,2,6,1,3,7,5]=>[1,3,7,2,6,4,5]=>[1,7,3,6,4,2,5]=>([(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,2,6,1,5,3,7]=>[1,5,2,6,3,7,4]=>[1,5,6,7,2,3,4]=>([(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)
[4,2,6,1,5,7,3]=>[1,5,7,2,6,3,4]=>[1,7,6,3,5,2,4]=>([(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,2,6,1,7,3,5]=>[1,7,2,6,3,5,4]=>[1,7,6,5,3,2,4]=>([(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,2,6,1,7,5,3]=>[1,7,2,6,3,4,5]=>[1,7,6,3,4,2,5]=>([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,2,6,3,1,5,7]=>[1,5,7,2,6,3,4]=>[1,7,6,3,5,2,4]=>([(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,2,6,3,1,7,5]=>[1,7,2,6,3,4,5]=>[1,7,6,3,4,2,5]=>([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,2,6,3,5,1,7]=>[1,7,2,6,3,5,4]=>[1,7,6,5,3,2,4]=>([(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,2,6,3,5,7,1]=>[1,2,6,3,5,7,4]=>[1,2,6,7,3,5,4]=>([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[4,2,6,3,7,1,5]=>[1,5,2,6,3,7,4]=>[1,5,6,7,2,3,4]=>([(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)
[4,2,6,3,7,5,1]=>[1,2,6,3,7,4,5]=>[1,2,6,7,4,3,5]=>([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[4,2,6,5,1,3,7]=>[1,3,7,2,6,4,5]=>[1,7,3,6,4,2,5]=>([(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,2,6,5,1,7,3]=>[1,7,2,6,3,4,5]=>[1,7,6,3,4,2,5]=>([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,2,6,5,3,1,7]=>[1,7,2,6,3,4,5]=>[1,7,6,3,4,2,5]=>([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,2,6,5,3,7,1]=>[1,2,6,3,7,4,5]=>[1,2,6,7,4,3,5]=>([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[4,2,6,5,7,1,3]=>[1,3,2,6,4,5,7]=>[1,3,2,6,4,5,7]=>([(2,3),(4,6),(5,6)],7)
[4,2,6,5,7,3,1]=>[1,2,6,3,4,5,7]=>[1,2,6,3,4,5,7]=>([(3,6),(4,6),(5,6)],7)
[4,2,6,7,1,3,5]=>[1,3,5,2,6,7,4]=>[1,5,3,7,2,6,4]=>([(1,5),(1,6),(2,3),(2,4),(3,4),(3,6),(4,5),(5,6)],7)
[4,2,6,7,1,5,3]=>[1,5,2,6,7,3,4]=>[1,5,7,3,2,6,4]=>([(1,5),(1,6),(2,3),(2,4),(2,5),(3,4),(3,6),(4,6),(5,6)],7)
[4,2,6,7,3,1,5]=>[1,5,2,6,7,3,4]=>[1,5,7,3,2,6,4]=>([(1,5),(1,6),(2,3),(2,4),(2,5),(3,4),(3,6),(4,6),(5,6)],7)
[4,2,6,7,3,5,1]=>[1,2,6,7,3,5,4]=>[1,2,7,5,3,6,4]=>([(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[4,2,6,7,5,1,3]=>[1,3,2,6,7,4,5]=>[1,3,2,7,4,6,5]=>([(1,2),(3,6),(4,5),(4,6),(5,6)],7)
[4,2,6,7,5,3,1]=>[1,2,6,7,3,4,5]=>[1,2,7,3,4,6,5]=>([(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[4,2,7,1,3,5,6]=>[1,3,5,6,2,7,4]=>[1,6,3,7,5,2,4]=>([(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
[4,2,7,1,3,6,5]=>[1,3,6,2,7,4,5]=>[1,6,3,7,4,2,5]=>([(1,5),(1,6),(2,3),(2,5),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[4,2,7,1,5,3,6]=>[1,5,2,7,3,6,4]=>[1,5,7,6,2,3,4]=>([(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,2,7,1,5,6,3]=>[1,5,6,2,7,3,4]=>[1,6,7,3,5,2,4]=>([(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[4,2,7,1,6,3,5]=>[1,6,2,7,3,5,4]=>[1,6,7,5,3,2,4]=>([(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[4,2,7,1,6,5,3]=>[1,6,2,7,3,4,5]=>[1,6,7,3,4,2,5]=>([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[4,2,7,3,1,5,6]=>[1,5,6,2,7,3,4]=>[1,6,7,3,5,2,4]=>([(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[4,2,7,3,1,6,5]=>[1,6,2,7,3,4,5]=>[1,6,7,3,4,2,5]=>([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[4,2,7,3,5,1,6]=>[1,6,2,7,3,5,4]=>[1,6,7,5,3,2,4]=>([(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[4,2,7,3,5,6,1]=>[1,2,7,3,5,6,4]=>[1,2,7,6,3,5,4]=>([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,2,7,3,6,1,5]=>[1,5,2,7,3,6,4]=>[1,5,7,6,2,3,4]=>([(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,2,7,3,6,5,1]=>[1,2,7,3,6,4,5]=>[1,2,7,6,4,3,5]=>([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,2,7,5,1,3,6]=>[1,3,6,2,7,4,5]=>[1,6,3,7,4,2,5]=>([(1,5),(1,6),(2,3),(2,5),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[4,2,7,5,1,6,3]=>[1,6,2,7,3,4,5]=>[1,6,7,3,4,2,5]=>([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[4,2,7,5,3,1,6]=>[1,6,2,7,3,4,5]=>[1,6,7,3,4,2,5]=>([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[4,2,7,5,3,6,1]=>[1,2,7,3,6,4,5]=>[1,2,7,6,4,3,5]=>([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,2,7,5,6,1,3]=>[1,3,2,7,4,5,6]=>[1,3,2,7,4,5,6]=>([(1,2),(3,6),(4,6),(5,6)],7)
[4,2,7,5,6,3,1]=>[1,2,7,3,4,5,6]=>[1,2,7,3,4,5,6]=>([(2,6),(3,6),(4,6),(5,6)],7)
[4,2,7,6,1,3,5]=>[1,3,5,2,7,4,6]=>[1,5,3,7,2,4,6]=>([(1,6),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
[4,2,7,6,1,5,3]=>[1,5,2,7,3,4,6]=>[1,5,7,3,2,4,6]=>([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[4,2,7,6,3,1,5]=>[1,5,2,7,3,4,6]=>[1,5,7,3,2,4,6]=>([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[4,2,7,6,3,5,1]=>[1,2,7,3,5,4,6]=>[1,2,7,5,3,4,6]=>([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,2,7,6,5,1,3]=>[1,3,2,7,4,5,6]=>[1,3,2,7,4,5,6]=>([(1,2),(3,6),(4,6),(5,6)],7)
[4,2,7,6,5,3,1]=>[1,2,7,3,4,5,6]=>[1,2,7,3,4,5,6]=>([(2,6),(3,6),(4,6),(5,6)],7)
[4,3,1,2,5,6,7]=>[1,2,5,6,7,3,4]=>[1,2,7,3,5,6,4]=>([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,3,1,2,5,7,6]=>[1,2,5,7,3,4,6]=>[1,2,7,3,5,4,6]=>([(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[4,3,1,2,6,5,7]=>[1,2,6,3,4,5,7]=>[1,2,6,3,4,5,7]=>([(3,6),(4,6),(5,6)],7)
[4,3,1,2,6,7,5]=>[1,2,6,7,3,4,5]=>[1,2,7,3,4,6,5]=>([(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[4,3,1,2,7,5,6]=>[1,2,7,3,4,5,6]=>[1,2,7,3,4,5,6]=>([(2,6),(3,6),(4,6),(5,6)],7)
[4,3,1,2,7,6,5]=>[1,2,7,3,4,5,6]=>[1,2,7,3,4,5,6]=>([(2,6),(3,6),(4,6),(5,6)],7)
[4,3,1,5,2,6,7]=>[1,5,2,6,7,3,4]=>[1,5,7,3,2,6,4]=>([(1,5),(1,6),(2,3),(2,4),(2,5),(3,4),(3,6),(4,6),(5,6)],7)
[4,3,1,5,2,7,6]=>[1,5,2,7,3,4,6]=>[1,5,7,3,2,4,6]=>([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[4,3,1,5,6,2,7]=>[1,5,6,2,7,3,4]=>[1,6,7,3,5,2,4]=>([(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[4,3,1,5,6,7,2]=>[1,5,6,7,2,3,4]=>[1,7,2,3,5,6,4]=>([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,3,1,5,7,2,6]=>[1,5,7,2,6,3,4]=>[1,7,6,3,5,2,4]=>([(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,3,1,5,7,6,2]=>[1,5,7,2,3,4,6]=>[1,7,2,3,5,4,6]=>([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[4,3,1,6,2,5,7]=>[1,6,2,5,7,3,4]=>[1,6,7,3,2,5,4]=>([(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[4,3,1,6,2,7,5]=>[1,6,2,7,3,4,5]=>[1,6,7,3,4,2,5]=>([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[4,3,1,6,5,2,7]=>[1,6,2,7,3,4,5]=>[1,6,7,3,4,2,5]=>([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[4,3,1,6,5,7,2]=>[1,6,2,3,4,5,7]=>[1,6,2,3,4,5,7]=>([(2,6),(3,6),(4,6),(5,6)],7)
[4,3,1,6,7,2,5]=>[1,6,7,2,5,3,4]=>[1,7,5,3,2,6,4]=>([(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,3,1,6,7,5,2]=>[1,6,7,2,3,4,5]=>[1,7,2,3,4,6,5]=>([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[4,3,1,7,2,5,6]=>[1,7,2,5,6,3,4]=>[1,7,6,3,2,5,4]=>([(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,3,1,7,2,6,5]=>[1,7,2,6,3,4,5]=>[1,7,6,3,4,2,5]=>([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,3,1,7,5,2,6]=>[1,7,2,6,3,4,5]=>[1,7,6,3,4,2,5]=>([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,3,1,7,5,6,2]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[4,3,1,7,6,2,5]=>[1,7,2,5,3,4,6]=>[1,7,5,3,2,4,6]=>([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,3,1,7,6,5,2]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[4,3,2,1,5,6,7]=>[1,5,6,7,2,3,4]=>[1,7,2,3,5,6,4]=>([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,3,2,1,5,7,6]=>[1,5,7,2,3,4,6]=>[1,7,2,3,5,4,6]=>([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[4,3,2,1,6,5,7]=>[1,6,2,3,4,5,7]=>[1,6,2,3,4,5,7]=>([(2,6),(3,6),(4,6),(5,6)],7)
[4,3,2,1,6,7,5]=>[1,6,7,2,3,4,5]=>[1,7,2,3,4,6,5]=>([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[4,3,2,1,7,5,6]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[4,3,2,1,7,6,5]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[4,3,2,5,1,6,7]=>[1,6,7,2,5,3,4]=>[1,7,5,3,2,6,4]=>([(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,3,2,5,1,7,6]=>[1,7,2,5,3,4,6]=>[1,7,5,3,2,4,6]=>([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,3,2,5,6,1,7]=>[1,7,2,5,6,3,4]=>[1,7,6,3,2,5,4]=>([(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,3,2,5,6,7,1]=>[1,2,5,6,7,3,4]=>[1,2,7,3,5,6,4]=>([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,3,2,5,7,1,6]=>[1,6,2,5,7,3,4]=>[1,6,7,3,2,5,4]=>([(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[4,3,2,5,7,6,1]=>[1,2,5,7,3,4,6]=>[1,2,7,3,5,4,6]=>([(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[4,3,2,6,1,5,7]=>[1,5,7,2,6,3,4]=>[1,7,6,3,5,2,4]=>([(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,3,2,6,1,7,5]=>[1,7,2,6,3,4,5]=>[1,7,6,3,4,2,5]=>([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,3,2,6,5,1,7]=>[1,7,2,6,3,4,5]=>[1,7,6,3,4,2,5]=>([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,3,2,6,5,7,1]=>[1,2,6,3,4,5,7]=>[1,2,6,3,4,5,7]=>([(3,6),(4,6),(5,6)],7)
[4,3,2,6,7,1,5]=>[1,5,2,6,7,3,4]=>[1,5,7,3,2,6,4]=>([(1,5),(1,6),(2,3),(2,4),(2,5),(3,4),(3,6),(4,6),(5,6)],7)
[4,3,2,6,7,5,1]=>[1,2,6,7,3,4,5]=>[1,2,7,3,4,6,5]=>([(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[4,3,2,7,1,5,6]=>[1,5,6,2,7,3,4]=>[1,6,7,3,5,2,4]=>([(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[4,3,2,7,1,6,5]=>[1,6,2,7,3,4,5]=>[1,6,7,3,4,2,5]=>([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[4,3,2,7,5,1,6]=>[1,6,2,7,3,4,5]=>[1,6,7,3,4,2,5]=>([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[4,3,2,7,5,6,1]=>[1,2,7,3,4,5,6]=>[1,2,7,3,4,5,6]=>([(2,6),(3,6),(4,6),(5,6)],7)
[4,3,2,7,6,1,5]=>[1,5,2,7,3,4,6]=>[1,5,7,3,2,4,6]=>([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[4,3,2,7,6,5,1]=>[1,2,7,3,4,5,6]=>[1,2,7,3,4,5,6]=>([(2,6),(3,6),(4,6),(5,6)],7)
[4,3,5,1,2,6,7]=>[1,2,6,7,3,5,4]=>[1,2,7,5,3,6,4]=>([(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[4,3,5,1,2,7,6]=>[1,2,7,3,5,4,6]=>[1,2,7,5,3,4,6]=>([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,3,5,1,6,2,7]=>[1,6,2,7,3,5,4]=>[1,6,7,5,3,2,4]=>([(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[4,3,5,1,6,7,2]=>[1,6,7,2,3,5,4]=>[1,7,2,5,3,6,4]=>([(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[4,3,5,1,7,2,6]=>[1,7,2,6,3,5,4]=>[1,7,6,5,3,2,4]=>([(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,3,5,1,7,6,2]=>[1,7,2,3,5,4,6]=>[1,7,2,5,3,4,6]=>([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,3,5,2,1,6,7]=>[1,6,7,2,3,5,4]=>[1,7,2,5,3,6,4]=>([(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[4,3,5,2,1,7,6]=>[1,7,2,3,5,4,6]=>[1,7,2,5,3,4,6]=>([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,3,5,2,6,1,7]=>[1,7,2,6,3,5,4]=>[1,7,6,5,3,2,4]=>([(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,3,5,2,6,7,1]=>[1,2,6,7,3,5,4]=>[1,2,7,5,3,6,4]=>([(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[4,3,5,2,7,1,6]=>[1,6,2,7,3,5,4]=>[1,6,7,5,3,2,4]=>([(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[4,3,5,2,7,6,1]=>[1,2,7,3,5,4,6]=>[1,2,7,5,3,4,6]=>([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,3,5,6,1,2,7]=>[1,2,7,3,5,6,4]=>[1,2,7,6,3,5,4]=>([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,3,5,6,1,7,2]=>[1,7,2,3,5,6,4]=>[1,7,2,6,3,5,4]=>([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,3,5,6,2,1,7]=>[1,7,2,3,5,6,4]=>[1,7,2,6,3,5,4]=>([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,3,5,6,2,7,1]=>[1,2,7,3,5,6,4]=>[1,2,7,6,3,5,4]=>([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,3,5,6,7,1,2]=>[1,2,3,5,6,7,4]=>[1,2,3,7,5,6,4]=>([(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,3,5,6,7,2,1]=>[1,2,3,5,6,7,4]=>[1,2,3,7,5,6,4]=>([(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,3,5,7,1,2,6]=>[1,2,6,3,5,7,4]=>[1,2,6,7,3,5,4]=>([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[4,3,5,7,1,6,2]=>[1,6,2,3,5,7,4]=>[1,6,2,7,3,5,4]=>([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[4,3,5,7,2,1,6]=>[1,6,2,3,5,7,4]=>[1,6,2,7,3,5,4]=>([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[4,3,5,7,2,6,1]=>[1,2,6,3,5,7,4]=>[1,2,6,7,3,5,4]=>([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[4,3,5,7,6,1,2]=>[1,2,3,5,7,4,6]=>[1,2,3,7,5,4,6]=>([(3,6),(4,5),(4,6),(5,6)],7)
[4,3,5,7,6,2,1]=>[1,2,3,5,7,4,6]=>[1,2,3,7,5,4,6]=>([(3,6),(4,5),(4,6),(5,6)],7)
[4,3,6,1,2,5,7]=>[1,2,5,7,3,6,4]=>[1,2,7,6,5,3,4]=>([(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,3,6,1,2,7,5]=>[1,2,7,3,6,4,5]=>[1,2,7,6,4,3,5]=>([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,3,6,1,5,2,7]=>[1,5,2,7,3,6,4]=>[1,5,7,6,2,3,4]=>([(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,3,6,1,5,7,2]=>[1,5,7,2,3,6,4]=>[1,7,2,6,5,3,4]=>([(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,3,6,1,7,2,5]=>[1,7,2,5,3,6,4]=>[1,7,5,6,2,3,4]=>([(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[4,3,6,1,7,5,2]=>[1,7,2,3,6,4,5]=>[1,7,2,6,4,3,5]=>([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,3,6,2,1,5,7]=>[1,5,7,2,3,6,4]=>[1,7,2,6,5,3,4]=>([(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,3,6,2,1,7,5]=>[1,7,2,3,6,4,5]=>[1,7,2,6,4,3,5]=>([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,3,6,2,5,1,7]=>[1,7,2,5,3,6,4]=>[1,7,5,6,2,3,4]=>([(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[4,3,6,2,5,7,1]=>[1,2,5,7,3,6,4]=>[1,2,7,6,5,3,4]=>([(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,3,6,2,7,1,5]=>[1,5,2,7,3,6,4]=>[1,5,7,6,2,3,4]=>([(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,3,6,2,7,5,1]=>[1,2,7,3,6,4,5]=>[1,2,7,6,4,3,5]=>([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,3,6,5,1,2,7]=>[1,2,7,3,6,4,5]=>[1,2,7,6,4,3,5]=>([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,3,6,5,1,7,2]=>[1,7,2,3,6,4,5]=>[1,7,2,6,4,3,5]=>([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,3,6,5,2,1,7]=>[1,7,2,3,6,4,5]=>[1,7,2,6,4,3,5]=>([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,3,6,5,2,7,1]=>[1,2,7,3,6,4,5]=>[1,2,7,6,4,3,5]=>([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,3,6,5,7,1,2]=>[1,2,3,6,4,5,7]=>[1,2,3,6,4,5,7]=>([(4,6),(5,6)],7)
[4,3,6,5,7,2,1]=>[1,2,3,6,4,5,7]=>[1,2,3,6,4,5,7]=>([(4,6),(5,6)],7)
[4,3,6,7,1,2,5]=>[1,2,5,3,6,7,4]=>[1,2,5,7,3,6,4]=>([(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7)
[4,3,6,7,1,5,2]=>[1,5,2,3,6,7,4]=>[1,5,2,7,3,6,4]=>([(1,6),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
[4,3,6,7,2,1,5]=>[1,5,2,3,6,7,4]=>[1,5,2,7,3,6,4]=>([(1,6),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
[4,3,6,7,2,5,1]=>[1,2,5,3,6,7,4]=>[1,2,5,7,3,6,4]=>([(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7)
[4,3,6,7,5,1,2]=>[1,2,3,6,7,4,5]=>[1,2,3,7,4,6,5]=>([(3,6),(4,5),(4,6),(5,6)],7)
[4,3,6,7,5,2,1]=>[1,2,3,6,7,4,5]=>[1,2,3,7,4,6,5]=>([(3,6),(4,5),(4,6),(5,6)],7)
[4,3,7,1,2,5,6]=>[1,2,5,6,3,7,4]=>[1,2,6,7,5,3,4]=>([(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[4,3,7,1,2,6,5]=>[1,2,6,3,7,4,5]=>[1,2,6,7,4,3,5]=>([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[4,3,7,1,5,2,6]=>[1,5,2,6,3,7,4]=>[1,5,6,7,2,3,4]=>([(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)
[4,3,7,1,5,6,2]=>[1,5,6,2,3,7,4]=>[1,6,2,7,5,3,4]=>([(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,3,7,1,6,2,5]=>[1,6,2,5,3,7,4]=>[1,6,5,7,2,3,4]=>([(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,3,7,1,6,5,2]=>[1,6,2,3,7,4,5]=>[1,6,2,7,4,3,5]=>([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[4,3,7,2,1,5,6]=>[1,5,6,2,3,7,4]=>[1,6,2,7,5,3,4]=>([(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,3,7,2,1,6,5]=>[1,6,2,3,7,4,5]=>[1,6,2,7,4,3,5]=>([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[4,3,7,2,5,1,6]=>[1,6,2,5,3,7,4]=>[1,6,5,7,2,3,4]=>([(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,3,7,2,5,6,1]=>[1,2,5,6,3,7,4]=>[1,2,6,7,5,3,4]=>([(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[4,3,7,2,6,1,5]=>[1,5,2,6,3,7,4]=>[1,5,6,7,2,3,4]=>([(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)
[4,3,7,2,6,5,1]=>[1,2,6,3,7,4,5]=>[1,2,6,7,4,3,5]=>([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[4,3,7,5,1,2,6]=>[1,2,6,3,7,4,5]=>[1,2,6,7,4,3,5]=>([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[4,3,7,5,1,6,2]=>[1,6,2,3,7,4,5]=>[1,6,2,7,4,3,5]=>([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[4,3,7,5,2,1,6]=>[1,6,2,3,7,4,5]=>[1,6,2,7,4,3,5]=>([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[4,3,7,5,2,6,1]=>[1,2,6,3,7,4,5]=>[1,2,6,7,4,3,5]=>([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[4,3,7,5,6,1,2]=>[1,2,3,7,4,5,6]=>[1,2,3,7,4,5,6]=>([(3,6),(4,6),(5,6)],7)
[4,3,7,5,6,2,1]=>[1,2,3,7,4,5,6]=>[1,2,3,7,4,5,6]=>([(3,6),(4,6),(5,6)],7)
[4,3,7,6,1,2,5]=>[1,2,5,3,7,4,6]=>[1,2,5,7,3,4,6]=>([(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[4,3,7,6,1,5,2]=>[1,5,2,3,7,4,6]=>[1,5,2,7,3,4,6]=>([(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
[4,3,7,6,2,1,5]=>[1,5,2,3,7,4,6]=>[1,5,2,7,3,4,6]=>([(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
[4,3,7,6,2,5,1]=>[1,2,5,3,7,4,6]=>[1,2,5,7,3,4,6]=>([(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[4,3,7,6,5,1,2]=>[1,2,3,7,4,5,6]=>[1,2,3,7,4,5,6]=>([(3,6),(4,6),(5,6)],7)
[4,3,7,6,5,2,1]=>[1,2,3,7,4,5,6]=>[1,2,3,7,4,5,6]=>([(3,6),(4,6),(5,6)],7)
[4,5,1,2,3,6,7]=>[1,2,3,6,7,4,5]=>[1,2,3,7,4,6,5]=>([(3,6),(4,5),(4,6),(5,6)],7)
[4,5,1,2,3,7,6]=>[1,2,3,7,4,5,6]=>[1,2,3,7,4,5,6]=>([(3,6),(4,6),(5,6)],7)
[4,5,1,2,6,3,7]=>[1,2,6,3,7,4,5]=>[1,2,6,7,4,3,5]=>([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[4,5,1,2,6,7,3]=>[1,2,6,7,3,4,5]=>[1,2,7,3,4,6,5]=>([(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[4,5,1,2,7,3,6]=>[1,2,7,3,6,4,5]=>[1,2,7,6,4,3,5]=>([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,5,1,2,7,6,3]=>[1,2,7,3,4,5,6]=>[1,2,7,3,4,5,6]=>([(2,6),(3,6),(4,6),(5,6)],7)
[4,5,1,3,2,6,7]=>[1,3,2,6,7,4,5]=>[1,3,2,7,4,6,5]=>([(1,2),(3,6),(4,5),(4,6),(5,6)],7)
[4,5,1,3,2,7,6]=>[1,3,2,7,4,5,6]=>[1,3,2,7,4,5,6]=>([(1,2),(3,6),(4,6),(5,6)],7)
[4,5,1,3,6,2,7]=>[1,3,6,2,7,4,5]=>[1,6,3,7,4,2,5]=>([(1,5),(1,6),(2,3),(2,5),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[4,5,1,3,6,7,2]=>[1,3,6,7,2,4,5]=>[1,7,3,2,4,6,5]=>([(1,6),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7)
[4,5,1,3,7,2,6]=>[1,3,7,2,6,4,5]=>[1,7,3,6,4,2,5]=>([(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,5,1,3,7,6,2]=>[1,3,7,2,4,5,6]=>[1,7,3,2,4,5,6]=>([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[4,5,1,6,2,3,7]=>[1,6,2,3,7,4,5]=>[1,6,2,7,4,3,5]=>([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[4,5,1,6,2,7,3]=>[1,6,2,7,3,4,5]=>[1,6,7,3,4,2,5]=>([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[4,5,1,6,3,2,7]=>[1,6,2,7,3,4,5]=>[1,6,7,3,4,2,5]=>([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[4,5,1,6,3,7,2]=>[1,6,2,3,7,4,5]=>[1,6,2,7,4,3,5]=>([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[4,5,1,6,7,2,3]=>[1,6,7,2,3,4,5]=>[1,7,2,3,4,6,5]=>([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[4,5,1,6,7,3,2]=>[1,6,7,2,3,4,5]=>[1,7,2,3,4,6,5]=>([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[4,5,1,7,2,3,6]=>[1,7,2,3,6,4,5]=>[1,7,2,6,4,3,5]=>([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,5,1,7,2,6,3]=>[1,7,2,6,3,4,5]=>[1,7,6,3,4,2,5]=>([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,5,1,7,3,2,6]=>[1,7,2,6,3,4,5]=>[1,7,6,3,4,2,5]=>([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,5,1,7,3,6,2]=>[1,7,2,3,6,4,5]=>[1,7,2,6,4,3,5]=>([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,5,1,7,6,2,3]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[4,5,1,7,6,3,2]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[4,5,2,1,3,6,7]=>[1,3,6,7,2,4,5]=>[1,7,3,2,4,6,5]=>([(1,6),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7)
[4,5,2,1,3,7,6]=>[1,3,7,2,4,5,6]=>[1,7,3,2,4,5,6]=>([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[4,5,2,1,6,3,7]=>[1,6,2,3,7,4,5]=>[1,6,2,7,4,3,5]=>([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[4,5,2,1,6,7,3]=>[1,6,7,2,3,4,5]=>[1,7,2,3,4,6,5]=>([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[4,5,2,1,7,3,6]=>[1,7,2,3,6,4,5]=>[1,7,2,6,4,3,5]=>([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,5,2,1,7,6,3]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[4,5,2,3,1,6,7]=>[1,6,7,2,3,4,5]=>[1,7,2,3,4,6,5]=>([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[4,5,2,3,1,7,6]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[4,5,2,3,6,1,7]=>[1,7,2,3,6,4,5]=>[1,7,2,6,4,3,5]=>([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,5,2,3,6,7,1]=>[1,2,3,6,7,4,5]=>[1,2,3,7,4,6,5]=>([(3,6),(4,5),(4,6),(5,6)],7)
[4,5,2,3,7,1,6]=>[1,6,2,3,7,4,5]=>[1,6,2,7,4,3,5]=>([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[4,5,2,3,7,6,1]=>[1,2,3,7,4,5,6]=>[1,2,3,7,4,5,6]=>([(3,6),(4,6),(5,6)],7)
[4,5,2,6,1,3,7]=>[1,3,7,2,6,4,5]=>[1,7,3,6,4,2,5]=>([(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,5,2,6,1,7,3]=>[1,7,2,6,3,4,5]=>[1,7,6,3,4,2,5]=>([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,5,2,6,3,1,7]=>[1,7,2,6,3,4,5]=>[1,7,6,3,4,2,5]=>([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,5,2,6,3,7,1]=>[1,2,6,3,7,4,5]=>[1,2,6,7,4,3,5]=>([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[4,5,2,6,7,1,3]=>[1,3,2,6,7,4,5]=>[1,3,2,7,4,6,5]=>([(1,2),(3,6),(4,5),(4,6),(5,6)],7)
[4,5,2,6,7,3,1]=>[1,2,6,7,3,4,5]=>[1,2,7,3,4,6,5]=>([(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[4,5,2,7,1,3,6]=>[1,3,6,2,7,4,5]=>[1,6,3,7,4,2,5]=>([(1,5),(1,6),(2,3),(2,5),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[4,5,2,7,1,6,3]=>[1,6,2,7,3,4,5]=>[1,6,7,3,4,2,5]=>([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[4,5,2,7,3,1,6]=>[1,6,2,7,3,4,5]=>[1,6,7,3,4,2,5]=>([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[4,5,2,7,3,6,1]=>[1,2,7,3,6,4,5]=>[1,2,7,6,4,3,5]=>([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,5,2,7,6,1,3]=>[1,3,2,7,4,5,6]=>[1,3,2,7,4,5,6]=>([(1,2),(3,6),(4,6),(5,6)],7)
[4,5,2,7,6,3,1]=>[1,2,7,3,4,5,6]=>[1,2,7,3,4,5,6]=>([(2,6),(3,6),(4,6),(5,6)],7)
[4,5,3,1,2,6,7]=>[1,2,6,7,3,4,5]=>[1,2,7,3,4,6,5]=>([(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[4,5,3,1,2,7,6]=>[1,2,7,3,4,5,6]=>[1,2,7,3,4,5,6]=>([(2,6),(3,6),(4,6),(5,6)],7)
[4,5,3,1,6,2,7]=>[1,6,2,7,3,4,5]=>[1,6,7,3,4,2,5]=>([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[4,5,3,1,6,7,2]=>[1,6,7,2,3,4,5]=>[1,7,2,3,4,6,5]=>([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[4,5,3,1,7,2,6]=>[1,7,2,6,3,4,5]=>[1,7,6,3,4,2,5]=>([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,5,3,1,7,6,2]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[4,5,3,2,1,6,7]=>[1,6,7,2,3,4,5]=>[1,7,2,3,4,6,5]=>([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[4,5,3,2,1,7,6]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[4,5,3,2,6,1,7]=>[1,7,2,6,3,4,5]=>[1,7,6,3,4,2,5]=>([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,5,3,2,6,7,1]=>[1,2,6,7,3,4,5]=>[1,2,7,3,4,6,5]=>([(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[4,5,3,2,7,1,6]=>[1,6,2,7,3,4,5]=>[1,6,7,3,4,2,5]=>([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[4,5,3,2,7,6,1]=>[1,2,7,3,4,5,6]=>[1,2,7,3,4,5,6]=>([(2,6),(3,6),(4,6),(5,6)],7)
[4,5,3,6,1,2,7]=>[1,2,7,3,6,4,5]=>[1,2,7,6,4,3,5]=>([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,5,3,6,1,7,2]=>[1,7,2,3,6,4,5]=>[1,7,2,6,4,3,5]=>([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,5,3,6,2,1,7]=>[1,7,2,3,6,4,5]=>[1,7,2,6,4,3,5]=>([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,5,3,6,2,7,1]=>[1,2,7,3,6,4,5]=>[1,2,7,6,4,3,5]=>([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,5,3,6,7,1,2]=>[1,2,3,6,7,4,5]=>[1,2,3,7,4,6,5]=>([(3,6),(4,5),(4,6),(5,6)],7)
[4,5,3,6,7,2,1]=>[1,2,3,6,7,4,5]=>[1,2,3,7,4,6,5]=>([(3,6),(4,5),(4,6),(5,6)],7)
[4,5,3,7,1,2,6]=>[1,2,6,3,7,4,5]=>[1,2,6,7,4,3,5]=>([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[4,5,3,7,1,6,2]=>[1,6,2,3,7,4,5]=>[1,6,2,7,4,3,5]=>([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[4,5,3,7,2,1,6]=>[1,6,2,3,7,4,5]=>[1,6,2,7,4,3,5]=>([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[4,5,3,7,2,6,1]=>[1,2,6,3,7,4,5]=>[1,2,6,7,4,3,5]=>([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[4,5,3,7,6,1,2]=>[1,2,3,7,4,5,6]=>[1,2,3,7,4,5,6]=>([(3,6),(4,6),(5,6)],7)
[4,5,3,7,6,2,1]=>[1,2,3,7,4,5,6]=>[1,2,3,7,4,5,6]=>([(3,6),(4,6),(5,6)],7)
[4,5,6,1,2,3,7]=>[1,2,3,7,4,5,6]=>[1,2,3,7,4,5,6]=>([(3,6),(4,6),(5,6)],7)
[4,5,6,1,2,7,3]=>[1,2,7,3,4,5,6]=>[1,2,7,3,4,5,6]=>([(2,6),(3,6),(4,6),(5,6)],7)
[4,5,6,1,3,2,7]=>[1,3,2,7,4,5,6]=>[1,3,2,7,4,5,6]=>([(1,2),(3,6),(4,6),(5,6)],7)
[4,5,6,1,3,7,2]=>[1,3,7,2,4,5,6]=>[1,7,3,2,4,5,6]=>([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[4,5,6,1,7,2,3]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[4,5,6,1,7,3,2]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[4,5,6,2,1,3,7]=>[1,3,7,2,4,5,6]=>[1,7,3,2,4,5,6]=>([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[4,5,6,2,1,7,3]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[4,5,6,2,3,1,7]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[4,5,6,2,3,7,1]=>[1,2,3,7,4,5,6]=>[1,2,3,7,4,5,6]=>([(3,6),(4,6),(5,6)],7)
[4,5,6,2,7,1,3]=>[1,3,2,7,4,5,6]=>[1,3,2,7,4,5,6]=>([(1,2),(3,6),(4,6),(5,6)],7)
[4,5,6,2,7,3,1]=>[1,2,7,3,4,5,6]=>[1,2,7,3,4,5,6]=>([(2,6),(3,6),(4,6),(5,6)],7)
[4,5,6,3,1,2,7]=>[1,2,7,3,4,5,6]=>[1,2,7,3,4,5,6]=>([(2,6),(3,6),(4,6),(5,6)],7)
[4,5,6,3,1,7,2]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[4,5,6,3,2,1,7]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[4,5,6,3,2,7,1]=>[1,2,7,3,4,5,6]=>[1,2,7,3,4,5,6]=>([(2,6),(3,6),(4,6),(5,6)],7)
[4,5,6,3,7,1,2]=>[1,2,3,7,4,5,6]=>[1,2,3,7,4,5,6]=>([(3,6),(4,6),(5,6)],7)
[4,5,6,3,7,2,1]=>[1,2,3,7,4,5,6]=>[1,2,3,7,4,5,6]=>([(3,6),(4,6),(5,6)],7)
[4,5,6,7,1,2,3]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>([],7)
[4,5,6,7,1,3,2]=>[1,3,2,4,5,6,7]=>[1,3,2,4,5,6,7]=>([(5,6)],7)
[4,5,6,7,2,1,3]=>[1,3,2,4,5,6,7]=>[1,3,2,4,5,6,7]=>([(5,6)],7)
[4,5,6,7,2,3,1]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>([],7)
[4,5,6,7,3,1,2]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>([],7)
[4,5,6,7,3,2,1]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>([],7)
[4,5,7,1,2,3,6]=>[1,2,3,6,4,5,7]=>[1,2,3,6,4,5,7]=>([(4,6),(5,6)],7)
[4,5,7,1,2,6,3]=>[1,2,6,3,4,5,7]=>[1,2,6,3,4,5,7]=>([(3,6),(4,6),(5,6)],7)
[4,5,7,1,3,2,6]=>[1,3,2,6,4,5,7]=>[1,3,2,6,4,5,7]=>([(2,3),(4,6),(5,6)],7)
[4,5,7,1,3,6,2]=>[1,3,6,2,4,5,7]=>[1,6,3,2,4,5,7]=>([(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[4,5,7,1,6,2,3]=>[1,6,2,3,4,5,7]=>[1,6,2,3,4,5,7]=>([(2,6),(3,6),(4,6),(5,6)],7)
[4,5,7,1,6,3,2]=>[1,6,2,3,4,5,7]=>[1,6,2,3,4,5,7]=>([(2,6),(3,6),(4,6),(5,6)],7)
[4,5,7,2,1,3,6]=>[1,3,6,2,4,5,7]=>[1,6,3,2,4,5,7]=>([(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[4,5,7,2,1,6,3]=>[1,6,2,3,4,5,7]=>[1,6,2,3,4,5,7]=>([(2,6),(3,6),(4,6),(5,6)],7)
[4,5,7,2,3,1,6]=>[1,6,2,3,4,5,7]=>[1,6,2,3,4,5,7]=>([(2,6),(3,6),(4,6),(5,6)],7)
[4,5,7,2,3,6,1]=>[1,2,3,6,4,5,7]=>[1,2,3,6,4,5,7]=>([(4,6),(5,6)],7)
[4,5,7,2,6,1,3]=>[1,3,2,6,4,5,7]=>[1,3,2,6,4,5,7]=>([(2,3),(4,6),(5,6)],7)
[4,5,7,2,6,3,1]=>[1,2,6,3,4,5,7]=>[1,2,6,3,4,5,7]=>([(3,6),(4,6),(5,6)],7)
[4,5,7,3,1,2,6]=>[1,2,6,3,4,5,7]=>[1,2,6,3,4,5,7]=>([(3,6),(4,6),(5,6)],7)
[4,5,7,3,1,6,2]=>[1,6,2,3,4,5,7]=>[1,6,2,3,4,5,7]=>([(2,6),(3,6),(4,6),(5,6)],7)
[4,5,7,3,2,1,6]=>[1,6,2,3,4,5,7]=>[1,6,2,3,4,5,7]=>([(2,6),(3,6),(4,6),(5,6)],7)
[4,5,7,3,2,6,1]=>[1,2,6,3,4,5,7]=>[1,2,6,3,4,5,7]=>([(3,6),(4,6),(5,6)],7)
[4,5,7,3,6,1,2]=>[1,2,3,6,4,5,7]=>[1,2,3,6,4,5,7]=>([(4,6),(5,6)],7)
[4,5,7,3,6,2,1]=>[1,2,3,6,4,5,7]=>[1,2,3,6,4,5,7]=>([(4,6),(5,6)],7)
[4,5,7,6,1,2,3]=>[1,2,3,4,5,7,6]=>[1,2,3,4,5,7,6]=>([(5,6)],7)
[4,5,7,6,1,3,2]=>[1,3,2,4,5,7,6]=>[1,3,2,4,5,7,6]=>([(3,6),(4,5)],7)
[4,5,7,6,2,1,3]=>[1,3,2,4,5,7,6]=>[1,3,2,4,5,7,6]=>([(3,6),(4,5)],7)
[4,5,7,6,2,3,1]=>[1,2,3,4,5,7,6]=>[1,2,3,4,5,7,6]=>([(5,6)],7)
[4,5,7,6,3,1,2]=>[1,2,3,4,5,7,6]=>[1,2,3,4,5,7,6]=>([(5,6)],7)
[4,5,7,6,3,2,1]=>[1,2,3,4,5,7,6]=>[1,2,3,4,5,7,6]=>([(5,6)],7)
[4,6,1,2,3,5,7]=>[1,2,3,5,7,4,6]=>[1,2,3,7,5,4,6]=>([(3,6),(4,5),(4,6),(5,6)],7)
[4,6,1,2,3,7,5]=>[1,2,3,7,4,6,5]=>[1,2,3,7,6,4,5]=>([(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,6,1,2,5,3,7]=>[1,2,5,3,7,4,6]=>[1,2,5,7,3,4,6]=>([(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[4,6,1,2,5,7,3]=>[1,2,5,7,3,4,6]=>[1,2,7,3,5,4,6]=>([(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[4,6,1,2,7,3,5]=>[1,2,7,3,5,4,6]=>[1,2,7,5,3,4,6]=>([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,6,1,2,7,5,3]=>[1,2,7,3,4,6,5]=>[1,2,7,3,6,4,5]=>([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,6,1,3,2,5,7]=>[1,3,2,5,7,4,6]=>[1,3,2,7,5,4,6]=>([(1,2),(3,6),(4,5),(4,6),(5,6)],7)
[4,6,1,3,2,7,5]=>[1,3,2,7,4,6,5]=>[1,3,2,7,6,4,5]=>([(1,2),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,6,1,3,5,2,7]=>[1,3,5,2,7,4,6]=>[1,5,3,7,2,4,6]=>([(1,6),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
[4,6,1,3,5,7,2]=>[1,3,5,7,2,4,6]=>[1,7,3,2,5,4,6]=>([(1,6),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7)
[4,6,1,3,7,2,5]=>[1,3,7,2,5,4,6]=>[1,7,3,5,2,4,6]=>([(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[4,6,1,3,7,5,2]=>[1,3,7,2,4,6,5]=>[1,7,3,2,6,4,5]=>([(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,6,1,5,2,3,7]=>[1,5,2,3,7,4,6]=>[1,5,2,7,3,4,6]=>([(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
[4,6,1,5,2,7,3]=>[1,5,2,7,3,4,6]=>[1,5,7,3,2,4,6]=>([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[4,6,1,5,3,2,7]=>[1,5,2,7,3,4,6]=>[1,5,7,3,2,4,6]=>([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[4,6,1,5,3,7,2]=>[1,5,2,3,7,4,6]=>[1,5,2,7,3,4,6]=>([(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
[4,6,1,5,7,2,3]=>[1,5,7,2,3,4,6]=>[1,7,2,3,5,4,6]=>([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[4,6,1,5,7,3,2]=>[1,5,7,2,3,4,6]=>[1,7,2,3,5,4,6]=>([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[4,6,1,7,2,3,5]=>[1,7,2,3,5,4,6]=>[1,7,2,5,3,4,6]=>([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,6,1,7,2,5,3]=>[1,7,2,5,3,4,6]=>[1,7,5,3,2,4,6]=>([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,6,1,7,3,2,5]=>[1,7,2,5,3,4,6]=>[1,7,5,3,2,4,6]=>([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,6,1,7,3,5,2]=>[1,7,2,3,5,4,6]=>[1,7,2,5,3,4,6]=>([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,6,1,7,5,2,3]=>[1,7,2,3,4,6,5]=>[1,7,2,3,6,4,5]=>([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,6,1,7,5,3,2]=>[1,7,2,3,4,6,5]=>[1,7,2,3,6,4,5]=>([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,6,2,1,3,5,7]=>[1,3,5,7,2,4,6]=>[1,7,3,2,5,4,6]=>([(1,6),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7)
[4,6,2,1,3,7,5]=>[1,3,7,2,4,6,5]=>[1,7,3,2,6,4,5]=>([(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,6,2,1,5,3,7]=>[1,5,2,3,7,4,6]=>[1,5,2,7,3,4,6]=>([(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
[4,6,2,1,5,7,3]=>[1,5,7,2,3,4,6]=>[1,7,2,3,5,4,6]=>([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[4,6,2,1,7,3,5]=>[1,7,2,3,5,4,6]=>[1,7,2,5,3,4,6]=>([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,6,2,1,7,5,3]=>[1,7,2,3,4,6,5]=>[1,7,2,3,6,4,5]=>([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,6,2,3,1,5,7]=>[1,5,7,2,3,4,6]=>[1,7,2,3,5,4,6]=>([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[4,6,2,3,1,7,5]=>[1,7,2,3,4,6,5]=>[1,7,2,3,6,4,5]=>([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,6,2,3,5,1,7]=>[1,7,2,3,5,4,6]=>[1,7,2,5,3,4,6]=>([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,6,2,3,5,7,1]=>[1,2,3,5,7,4,6]=>[1,2,3,7,5,4,6]=>([(3,6),(4,5),(4,6),(5,6)],7)
[4,6,2,3,7,1,5]=>[1,5,2,3,7,4,6]=>[1,5,2,7,3,4,6]=>([(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
[4,6,2,3,7,5,1]=>[1,2,3,7,4,6,5]=>[1,2,3,7,6,4,5]=>([(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,6,2,5,1,3,7]=>[1,3,7,2,5,4,6]=>[1,7,3,5,2,4,6]=>([(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[4,6,2,5,1,7,3]=>[1,7,2,5,3,4,6]=>[1,7,5,3,2,4,6]=>([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,6,2,5,3,1,7]=>[1,7,2,5,3,4,6]=>[1,7,5,3,2,4,6]=>([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,6,2,5,3,7,1]=>[1,2,5,3,7,4,6]=>[1,2,5,7,3,4,6]=>([(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[4,6,2,5,7,1,3]=>[1,3,2,5,7,4,6]=>[1,3,2,7,5,4,6]=>([(1,2),(3,6),(4,5),(4,6),(5,6)],7)
[4,6,2,5,7,3,1]=>[1,2,5,7,3,4,6]=>[1,2,7,3,5,4,6]=>([(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[4,6,2,7,1,3,5]=>[1,3,5,2,7,4,6]=>[1,5,3,7,2,4,6]=>([(1,6),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
[4,6,2,7,1,5,3]=>[1,5,2,7,3,4,6]=>[1,5,7,3,2,4,6]=>([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[4,6,2,7,3,1,5]=>[1,5,2,7,3,4,6]=>[1,5,7,3,2,4,6]=>([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[4,6,2,7,3,5,1]=>[1,2,7,3,5,4,6]=>[1,2,7,5,3,4,6]=>([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,6,2,7,5,1,3]=>[1,3,2,7,4,6,5]=>[1,3,2,7,6,4,5]=>([(1,2),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,6,2,7,5,3,1]=>[1,2,7,3,4,6,5]=>[1,2,7,3,6,4,5]=>([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,6,3,1,2,5,7]=>[1,2,5,7,3,4,6]=>[1,2,7,3,5,4,6]=>([(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[4,6,3,1,2,7,5]=>[1,2,7,3,4,6,5]=>[1,2,7,3,6,4,5]=>([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,6,3,1,5,2,7]=>[1,5,2,7,3,4,6]=>[1,5,7,3,2,4,6]=>([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[4,6,3,1,5,7,2]=>[1,5,7,2,3,4,6]=>[1,7,2,3,5,4,6]=>([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[4,6,3,1,7,2,5]=>[1,7,2,5,3,4,6]=>[1,7,5,3,2,4,6]=>([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,6,3,1,7,5,2]=>[1,7,2,3,4,6,5]=>[1,7,2,3,6,4,5]=>([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,6,3,2,1,5,7]=>[1,5,7,2,3,4,6]=>[1,7,2,3,5,4,6]=>([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[4,6,3,2,1,7,5]=>[1,7,2,3,4,6,5]=>[1,7,2,3,6,4,5]=>([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,6,3,2,5,1,7]=>[1,7,2,5,3,4,6]=>[1,7,5,3,2,4,6]=>([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,6,3,2,5,7,1]=>[1,2,5,7,3,4,6]=>[1,2,7,3,5,4,6]=>([(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[4,6,3,2,7,1,5]=>[1,5,2,7,3,4,6]=>[1,5,7,3,2,4,6]=>([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[4,6,3,2,7,5,1]=>[1,2,7,3,4,6,5]=>[1,2,7,3,6,4,5]=>([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,6,3,5,1,2,7]=>[1,2,7,3,5,4,6]=>[1,2,7,5,3,4,6]=>([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,6,3,5,1,7,2]=>[1,7,2,3,5,4,6]=>[1,7,2,5,3,4,6]=>([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,6,3,5,2,1,7]=>[1,7,2,3,5,4,6]=>[1,7,2,5,3,4,6]=>([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,6,3,5,2,7,1]=>[1,2,7,3,5,4,6]=>[1,2,7,5,3,4,6]=>([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,6,3,5,7,1,2]=>[1,2,3,5,7,4,6]=>[1,2,3,7,5,4,6]=>([(3,6),(4,5),(4,6),(5,6)],7)
[4,6,3,5,7,2,1]=>[1,2,3,5,7,4,6]=>[1,2,3,7,5,4,6]=>([(3,6),(4,5),(4,6),(5,6)],7)
[4,6,3,7,1,2,5]=>[1,2,5,3,7,4,6]=>[1,2,5,7,3,4,6]=>([(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[4,6,3,7,1,5,2]=>[1,5,2,3,7,4,6]=>[1,5,2,7,3,4,6]=>([(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
[4,6,3,7,2,1,5]=>[1,5,2,3,7,4,6]=>[1,5,2,7,3,4,6]=>([(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
[4,6,3,7,2,5,1]=>[1,2,5,3,7,4,6]=>[1,2,5,7,3,4,6]=>([(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[4,6,3,7,5,1,2]=>[1,2,3,7,4,6,5]=>[1,2,3,7,6,4,5]=>([(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,6,3,7,5,2,1]=>[1,2,3,7,4,6,5]=>[1,2,3,7,6,4,5]=>([(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,6,5,1,2,3,7]=>[1,2,3,7,4,6,5]=>[1,2,3,7,6,4,5]=>([(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,6,5,1,2,7,3]=>[1,2,7,3,4,6,5]=>[1,2,7,3,6,4,5]=>([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,6,5,1,3,2,7]=>[1,3,2,7,4,6,5]=>[1,3,2,7,6,4,5]=>([(1,2),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,6,5,1,3,7,2]=>[1,3,7,2,4,6,5]=>[1,7,3,2,6,4,5]=>([(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,6,5,1,7,2,3]=>[1,7,2,3,4,6,5]=>[1,7,2,3,6,4,5]=>([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,6,5,1,7,3,2]=>[1,7,2,3,4,6,5]=>[1,7,2,3,6,4,5]=>([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,6,5,2,1,3,7]=>[1,3,7,2,4,6,5]=>[1,7,3,2,6,4,5]=>([(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,6,5,2,1,7,3]=>[1,7,2,3,4,6,5]=>[1,7,2,3,6,4,5]=>([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,6,5,2,3,1,7]=>[1,7,2,3,4,6,5]=>[1,7,2,3,6,4,5]=>([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,6,5,2,3,7,1]=>[1,2,3,7,4,6,5]=>[1,2,3,7,6,4,5]=>([(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,6,5,2,7,1,3]=>[1,3,2,7,4,6,5]=>[1,3,2,7,6,4,5]=>([(1,2),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,6,5,2,7,3,1]=>[1,2,7,3,4,6,5]=>[1,2,7,3,6,4,5]=>([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,6,5,3,1,2,7]=>[1,2,7,3,4,6,5]=>[1,2,7,3,6,4,5]=>([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,6,5,3,1,7,2]=>[1,7,2,3,4,6,5]=>[1,7,2,3,6,4,5]=>([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,6,5,3,2,1,7]=>[1,7,2,3,4,6,5]=>[1,7,2,3,6,4,5]=>([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,6,5,3,2,7,1]=>[1,2,7,3,4,6,5]=>[1,2,7,3,6,4,5]=>([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,6,5,3,7,1,2]=>[1,2,3,7,4,6,5]=>[1,2,3,7,6,4,5]=>([(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,6,5,3,7,2,1]=>[1,2,3,7,4,6,5]=>[1,2,3,7,6,4,5]=>([(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,6,5,7,1,2,3]=>[1,2,3,4,6,5,7]=>[1,2,3,4,6,5,7]=>([(5,6)],7)
[4,6,5,7,1,3,2]=>[1,3,2,4,6,5,7]=>[1,3,2,4,6,5,7]=>([(3,6),(4,5)],7)
[4,6,5,7,2,1,3]=>[1,3,2,4,6,5,7]=>[1,3,2,4,6,5,7]=>([(3,6),(4,5)],7)
[4,6,5,7,2,3,1]=>[1,2,3,4,6,5,7]=>[1,2,3,4,6,5,7]=>([(5,6)],7)
[4,6,5,7,3,1,2]=>[1,2,3,4,6,5,7]=>[1,2,3,4,6,5,7]=>([(5,6)],7)
[4,6,5,7,3,2,1]=>[1,2,3,4,6,5,7]=>[1,2,3,4,6,5,7]=>([(5,6)],7)
[4,6,7,1,2,3,5]=>[1,2,3,5,4,6,7]=>[1,2,3,5,4,6,7]=>([(5,6)],7)
[4,6,7,1,2,5,3]=>[1,2,5,3,4,6,7]=>[1,2,5,3,4,6,7]=>([(4,6),(5,6)],7)
[4,6,7,1,3,2,5]=>[1,3,2,5,4,6,7]=>[1,3,2,5,4,6,7]=>([(3,6),(4,5)],7)
[4,6,7,1,3,5,2]=>[1,3,5,2,4,6,7]=>[1,5,3,2,4,6,7]=>([(3,6),(4,5),(4,6),(5,6)],7)
[4,6,7,1,5,2,3]=>[1,5,2,3,4,6,7]=>[1,5,2,3,4,6,7]=>([(3,6),(4,6),(5,6)],7)
[4,6,7,1,5,3,2]=>[1,5,2,3,4,6,7]=>[1,5,2,3,4,6,7]=>([(3,6),(4,6),(5,6)],7)
[4,6,7,2,1,3,5]=>[1,3,5,2,4,6,7]=>[1,5,3,2,4,6,7]=>([(3,6),(4,5),(4,6),(5,6)],7)
[4,6,7,2,1,5,3]=>[1,5,2,3,4,6,7]=>[1,5,2,3,4,6,7]=>([(3,6),(4,6),(5,6)],7)
[4,6,7,2,3,1,5]=>[1,5,2,3,4,6,7]=>[1,5,2,3,4,6,7]=>([(3,6),(4,6),(5,6)],7)
[4,6,7,2,3,5,1]=>[1,2,3,5,4,6,7]=>[1,2,3,5,4,6,7]=>([(5,6)],7)
[4,6,7,2,5,1,3]=>[1,3,2,5,4,6,7]=>[1,3,2,5,4,6,7]=>([(3,6),(4,5)],7)
[4,6,7,2,5,3,1]=>[1,2,5,3,4,6,7]=>[1,2,5,3,4,6,7]=>([(4,6),(5,6)],7)
[4,6,7,3,1,2,5]=>[1,2,5,3,4,6,7]=>[1,2,5,3,4,6,7]=>([(4,6),(5,6)],7)
[4,6,7,3,1,5,2]=>[1,5,2,3,4,6,7]=>[1,5,2,3,4,6,7]=>([(3,6),(4,6),(5,6)],7)
[4,6,7,3,2,1,5]=>[1,5,2,3,4,6,7]=>[1,5,2,3,4,6,7]=>([(3,6),(4,6),(5,6)],7)
[4,6,7,3,2,5,1]=>[1,2,5,3,4,6,7]=>[1,2,5,3,4,6,7]=>([(4,6),(5,6)],7)
[4,6,7,3,5,1,2]=>[1,2,3,5,4,6,7]=>[1,2,3,5,4,6,7]=>([(5,6)],7)
[4,6,7,3,5,2,1]=>[1,2,3,5,4,6,7]=>[1,2,3,5,4,6,7]=>([(5,6)],7)
[4,6,7,5,1,2,3]=>[1,2,3,4,6,7,5]=>[1,2,3,4,7,6,5]=>([(4,5),(4,6),(5,6)],7)
[4,6,7,5,1,3,2]=>[1,3,2,4,6,7,5]=>[1,3,2,4,7,6,5]=>([(2,3),(4,5),(4,6),(5,6)],7)
[4,6,7,5,2,1,3]=>[1,3,2,4,6,7,5]=>[1,3,2,4,7,6,5]=>([(2,3),(4,5),(4,6),(5,6)],7)
[4,6,7,5,2,3,1]=>[1,2,3,4,6,7,5]=>[1,2,3,4,7,6,5]=>([(4,5),(4,6),(5,6)],7)
[4,6,7,5,3,1,2]=>[1,2,3,4,6,7,5]=>[1,2,3,4,7,6,5]=>([(4,5),(4,6),(5,6)],7)
[4,6,7,5,3,2,1]=>[1,2,3,4,6,7,5]=>[1,2,3,4,7,6,5]=>([(4,5),(4,6),(5,6)],7)
[4,7,1,2,3,5,6]=>[1,2,3,5,6,4,7]=>[1,2,3,6,5,4,7]=>([(4,5),(4,6),(5,6)],7)
[4,7,1,2,3,6,5]=>[1,2,3,6,4,7,5]=>[1,2,3,6,7,4,5]=>([(3,5),(3,6),(4,5),(4,6)],7)
[4,7,1,2,5,3,6]=>[1,2,5,3,6,4,7]=>[1,2,5,6,3,4,7]=>([(3,5),(3,6),(4,5),(4,6)],7)
[4,7,1,2,5,6,3]=>[1,2,5,6,3,4,7]=>[1,2,6,3,5,4,7]=>([(3,6),(4,5),(4,6),(5,6)],7)
[4,7,1,2,6,3,5]=>[1,2,6,3,5,4,7]=>[1,2,6,5,3,4,7]=>([(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,7,1,2,6,5,3]=>[1,2,6,3,4,7,5]=>[1,2,6,3,7,4,5]=>([(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[4,7,1,3,2,5,6]=>[1,3,2,5,6,4,7]=>[1,3,2,6,5,4,7]=>([(2,3),(4,5),(4,6),(5,6)],7)
[4,7,1,3,2,6,5]=>[1,3,2,6,4,7,5]=>[1,3,2,6,7,4,5]=>([(1,2),(3,5),(3,6),(4,5),(4,6)],7)
[4,7,1,3,5,2,6]=>[1,3,5,2,6,4,7]=>[1,5,3,6,2,4,7]=>([(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7)
[4,7,1,3,5,6,2]=>[1,3,5,6,2,4,7]=>[1,6,3,2,5,4,7]=>([(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7)
[4,7,1,3,6,2,5]=>[1,3,6,2,5,4,7]=>[1,6,3,5,2,4,7]=>([(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[4,7,1,3,6,5,2]=>[1,3,6,2,4,7,5]=>[1,6,3,2,7,4,5]=>([(1,4),(1,5),(2,3),(2,6),(3,6),(4,6),(5,6)],7)
[4,7,1,5,2,3,6]=>[1,5,2,3,6,4,7]=>[1,5,2,6,3,4,7]=>([(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[4,7,1,5,2,6,3]=>[1,5,2,6,3,4,7]=>[1,5,6,3,2,4,7]=>([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[4,7,1,5,3,2,6]=>[1,5,2,6,3,4,7]=>[1,5,6,3,2,4,7]=>([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[4,7,1,5,3,6,2]=>[1,5,2,3,6,4,7]=>[1,5,2,6,3,4,7]=>([(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[4,7,1,5,6,2,3]=>[1,5,6,2,3,4,7]=>[1,6,2,3,5,4,7]=>([(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[4,7,1,5,6,3,2]=>[1,5,6,2,3,4,7]=>[1,6,2,3,5,4,7]=>([(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[4,7,1,6,2,3,5]=>[1,6,2,3,5,4,7]=>[1,6,2,5,3,4,7]=>([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,7,1,6,2,5,3]=>[1,6,2,5,3,4,7]=>[1,6,5,3,2,4,7]=>([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,7,1,6,3,2,5]=>[1,6,2,5,3,4,7]=>[1,6,5,3,2,4,7]=>([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,7,1,6,3,5,2]=>[1,6,2,3,5,4,7]=>[1,6,2,5,3,4,7]=>([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,7,1,6,5,2,3]=>[1,6,2,3,4,7,5]=>[1,6,2,3,7,4,5]=>([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[4,7,1,6,5,3,2]=>[1,6,2,3,4,7,5]=>[1,6,2,3,7,4,5]=>([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[4,7,2,1,3,5,6]=>[1,3,5,6,2,4,7]=>[1,6,3,2,5,4,7]=>([(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7)
[4,7,2,1,3,6,5]=>[1,3,6,2,4,7,5]=>[1,6,3,2,7,4,5]=>([(1,4),(1,5),(2,3),(2,6),(3,6),(4,6),(5,6)],7)
[4,7,2,1,5,3,6]=>[1,5,2,3,6,4,7]=>[1,5,2,6,3,4,7]=>([(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[4,7,2,1,5,6,3]=>[1,5,6,2,3,4,7]=>[1,6,2,3,5,4,7]=>([(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[4,7,2,1,6,3,5]=>[1,6,2,3,5,4,7]=>[1,6,2,5,3,4,7]=>([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,7,2,1,6,5,3]=>[1,6,2,3,4,7,5]=>[1,6,2,3,7,4,5]=>([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[4,7,2,3,1,5,6]=>[1,5,6,2,3,4,7]=>[1,6,2,3,5,4,7]=>([(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[4,7,2,3,1,6,5]=>[1,6,2,3,4,7,5]=>[1,6,2,3,7,4,5]=>([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[4,7,2,3,5,1,6]=>[1,6,2,3,5,4,7]=>[1,6,2,5,3,4,7]=>([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,7,2,3,5,6,1]=>[1,2,3,5,6,4,7]=>[1,2,3,6,5,4,7]=>([(4,5),(4,6),(5,6)],7)
[4,7,2,3,6,1,5]=>[1,5,2,3,6,4,7]=>[1,5,2,6,3,4,7]=>([(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[4,7,2,3,6,5,1]=>[1,2,3,6,4,7,5]=>[1,2,3,6,7,4,5]=>([(3,5),(3,6),(4,5),(4,6)],7)
[4,7,2,5,1,3,6]=>[1,3,6,2,5,4,7]=>[1,6,3,5,2,4,7]=>([(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[4,7,2,5,1,6,3]=>[1,6,2,5,3,4,7]=>[1,6,5,3,2,4,7]=>([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,7,2,5,3,1,6]=>[1,6,2,5,3,4,7]=>[1,6,5,3,2,4,7]=>([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,7,2,5,3,6,1]=>[1,2,5,3,6,4,7]=>[1,2,5,6,3,4,7]=>([(3,5),(3,6),(4,5),(4,6)],7)
[4,7,2,5,6,1,3]=>[1,3,2,5,6,4,7]=>[1,3,2,6,5,4,7]=>([(2,3),(4,5),(4,6),(5,6)],7)
[4,7,2,5,6,3,1]=>[1,2,5,6,3,4,7]=>[1,2,6,3,5,4,7]=>([(3,6),(4,5),(4,6),(5,6)],7)
[4,7,2,6,1,3,5]=>[1,3,5,2,6,4,7]=>[1,5,3,6,2,4,7]=>([(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7)
[4,7,2,6,1,5,3]=>[1,5,2,6,3,4,7]=>[1,5,6,3,2,4,7]=>([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[4,7,2,6,3,1,5]=>[1,5,2,6,3,4,7]=>[1,5,6,3,2,4,7]=>([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[4,7,2,6,3,5,1]=>[1,2,6,3,5,4,7]=>[1,2,6,5,3,4,7]=>([(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,7,2,6,5,1,3]=>[1,3,2,6,4,7,5]=>[1,3,2,6,7,4,5]=>([(1,2),(3,5),(3,6),(4,5),(4,6)],7)
[4,7,2,6,5,3,1]=>[1,2,6,3,4,7,5]=>[1,2,6,3,7,4,5]=>([(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[4,7,3,1,2,5,6]=>[1,2,5,6,3,4,7]=>[1,2,6,3,5,4,7]=>([(3,6),(4,5),(4,6),(5,6)],7)
[4,7,3,1,2,6,5]=>[1,2,6,3,4,7,5]=>[1,2,6,3,7,4,5]=>([(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[4,7,3,1,5,2,6]=>[1,5,2,6,3,4,7]=>[1,5,6,3,2,4,7]=>([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[4,7,3,1,5,6,2]=>[1,5,6,2,3,4,7]=>[1,6,2,3,5,4,7]=>([(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[4,7,3,1,6,2,5]=>[1,6,2,5,3,4,7]=>[1,6,5,3,2,4,7]=>([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,7,3,1,6,5,2]=>[1,6,2,3,4,7,5]=>[1,6,2,3,7,4,5]=>([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[4,7,3,2,1,5,6]=>[1,5,6,2,3,4,7]=>[1,6,2,3,5,4,7]=>([(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[4,7,3,2,1,6,5]=>[1,6,2,3,4,7,5]=>[1,6,2,3,7,4,5]=>([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[4,7,3,2,5,1,6]=>[1,6,2,5,3,4,7]=>[1,6,5,3,2,4,7]=>([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,7,3,2,5,6,1]=>[1,2,5,6,3,4,7]=>[1,2,6,3,5,4,7]=>([(3,6),(4,5),(4,6),(5,6)],7)
[4,7,3,2,6,1,5]=>[1,5,2,6,3,4,7]=>[1,5,6,3,2,4,7]=>([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[4,7,3,2,6,5,1]=>[1,2,6,3,4,7,5]=>[1,2,6,3,7,4,5]=>([(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[4,7,3,5,1,2,6]=>[1,2,6,3,5,4,7]=>[1,2,6,5,3,4,7]=>([(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,7,3,5,1,6,2]=>[1,6,2,3,5,4,7]=>[1,6,2,5,3,4,7]=>([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,7,3,5,2,1,6]=>[1,6,2,3,5,4,7]=>[1,6,2,5,3,4,7]=>([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,7,3,5,2,6,1]=>[1,2,6,3,5,4,7]=>[1,2,6,5,3,4,7]=>([(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[4,7,3,5,6,1,2]=>[1,2,3,5,6,4,7]=>[1,2,3,6,5,4,7]=>([(4,5),(4,6),(5,6)],7)
[4,7,3,5,6,2,1]=>[1,2,3,5,6,4,7]=>[1,2,3,6,5,4,7]=>([(4,5),(4,6),(5,6)],7)
[4,7,3,6,1,2,5]=>[1,2,5,3,6,4,7]=>[1,2,5,6,3,4,7]=>([(3,5),(3,6),(4,5),(4,6)],7)
[4,7,3,6,1,5,2]=>[1,5,2,3,6,4,7]=>[1,5,2,6,3,4,7]=>([(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[4,7,3,6,2,1,5]=>[1,5,2,3,6,4,7]=>[1,5,2,6,3,4,7]=>([(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[4,7,3,6,2,5,1]=>[1,2,5,3,6,4,7]=>[1,2,5,6,3,4,7]=>([(3,5),(3,6),(4,5),(4,6)],7)
[4,7,3,6,5,1,2]=>[1,2,3,6,4,7,5]=>[1,2,3,6,7,4,5]=>([(3,5),(3,6),(4,5),(4,6)],7)
[4,7,3,6,5,2,1]=>[1,2,3,6,4,7,5]=>[1,2,3,6,7,4,5]=>([(3,5),(3,6),(4,5),(4,6)],7)
[4,7,5,1,2,3,6]=>[1,2,3,6,4,7,5]=>[1,2,3,6,7,4,5]=>([(3,5),(3,6),(4,5),(4,6)],7)
[4,7,5,1,2,6,3]=>[1,2,6,3,4,7,5]=>[1,2,6,3,7,4,5]=>([(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[4,7,5,1,3,2,6]=>[1,3,2,6,4,7,5]=>[1,3,2,6,7,4,5]=>([(1,2),(3,5),(3,6),(4,5),(4,6)],7)
[4,7,5,1,3,6,2]=>[1,3,6,2,4,7,5]=>[1,6,3,2,7,4,5]=>([(1,4),(1,5),(2,3),(2,6),(3,6),(4,6),(5,6)],7)
[4,7,5,1,6,2,3]=>[1,6,2,3,4,7,5]=>[1,6,2,3,7,4,5]=>([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[4,7,5,1,6,3,2]=>[1,6,2,3,4,7,5]=>[1,6,2,3,7,4,5]=>([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[4,7,5,2,1,3,6]=>[1,3,6,2,4,7,5]=>[1,6,3,2,7,4,5]=>([(1,4),(1,5),(2,3),(2,6),(3,6),(4,6),(5,6)],7)
[4,7,5,2,1,6,3]=>[1,6,2,3,4,7,5]=>[1,6,2,3,7,4,5]=>([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[4,7,5,2,3,1,6]=>[1,6,2,3,4,7,5]=>[1,6,2,3,7,4,5]=>([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[4,7,5,2,3,6,1]=>[1,2,3,6,4,7,5]=>[1,2,3,6,7,4,5]=>([(3,5),(3,6),(4,5),(4,6)],7)
[4,7,5,2,6,1,3]=>[1,3,2,6,4,7,5]=>[1,3,2,6,7,4,5]=>([(1,2),(3,5),(3,6),(4,5),(4,6)],7)
[4,7,5,2,6,3,1]=>[1,2,6,3,4,7,5]=>[1,2,6,3,7,4,5]=>([(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[4,7,5,3,1,2,6]=>[1,2,6,3,4,7,5]=>[1,2,6,3,7,4,5]=>([(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[4,7,5,3,1,6,2]=>[1,6,2,3,4,7,5]=>[1,6,2,3,7,4,5]=>([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[4,7,5,3,2,1,6]=>[1,6,2,3,4,7,5]=>[1,6,2,3,7,4,5]=>([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[4,7,5,3,2,6,1]=>[1,2,6,3,4,7,5]=>[1,2,6,3,7,4,5]=>([(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[4,7,5,3,6,1,2]=>[1,2,3,6,4,7,5]=>[1,2,3,6,7,4,5]=>([(3,5),(3,6),(4,5),(4,6)],7)
[4,7,5,3,6,2,1]=>[1,2,3,6,4,7,5]=>[1,2,3,6,7,4,5]=>([(3,5),(3,6),(4,5),(4,6)],7)
[4,7,5,6,1,2,3]=>[1,2,3,4,7,5,6]=>[1,2,3,4,7,5,6]=>([(4,6),(5,6)],7)
[4,7,5,6,1,3,2]=>[1,3,2,4,7,5,6]=>[1,3,2,4,7,5,6]=>([(2,3),(4,6),(5,6)],7)
[4,7,5,6,2,1,3]=>[1,3,2,4,7,5,6]=>[1,3,2,4,7,5,6]=>([(2,3),(4,6),(5,6)],7)
[4,7,5,6,2,3,1]=>[1,2,3,4,7,5,6]=>[1,2,3,4,7,5,6]=>([(4,6),(5,6)],7)
[4,7,5,6,3,1,2]=>[1,2,3,4,7,5,6]=>[1,2,3,4,7,5,6]=>([(4,6),(5,6)],7)
[4,7,5,6,3,2,1]=>[1,2,3,4,7,5,6]=>[1,2,3,4,7,5,6]=>([(4,6),(5,6)],7)
[4,7,6,1,2,3,5]=>[1,2,3,5,4,7,6]=>[1,2,3,5,4,7,6]=>([(3,6),(4,5)],7)
[4,7,6,1,2,5,3]=>[1,2,5,3,4,7,6]=>[1,2,5,3,4,7,6]=>([(2,3),(4,6),(5,6)],7)
[4,7,6,1,3,2,5]=>[1,3,2,5,4,7,6]=>[1,3,2,5,4,7,6]=>([(1,6),(2,5),(3,4)],7)
[4,7,6,1,3,5,2]=>[1,3,5,2,4,7,6]=>[1,5,3,2,4,7,6]=>([(1,2),(3,6),(4,5),(4,6),(5,6)],7)
[4,7,6,1,5,2,3]=>[1,5,2,3,4,7,6]=>[1,5,2,3,4,7,6]=>([(1,2),(3,6),(4,6),(5,6)],7)
[4,7,6,1,5,3,2]=>[1,5,2,3,4,7,6]=>[1,5,2,3,4,7,6]=>([(1,2),(3,6),(4,6),(5,6)],7)
[4,7,6,2,1,3,5]=>[1,3,5,2,4,7,6]=>[1,5,3,2,4,7,6]=>([(1,2),(3,6),(4,5),(4,6),(5,6)],7)
[4,7,6,2,1,5,3]=>[1,5,2,3,4,7,6]=>[1,5,2,3,4,7,6]=>([(1,2),(3,6),(4,6),(5,6)],7)
[4,7,6,2,3,1,5]=>[1,5,2,3,4,7,6]=>[1,5,2,3,4,7,6]=>([(1,2),(3,6),(4,6),(5,6)],7)
[4,7,6,2,3,5,1]=>[1,2,3,5,4,7,6]=>[1,2,3,5,4,7,6]=>([(3,6),(4,5)],7)
[4,7,6,2,5,1,3]=>[1,3,2,5,4,7,6]=>[1,3,2,5,4,7,6]=>([(1,6),(2,5),(3,4)],7)
[4,7,6,2,5,3,1]=>[1,2,5,3,4,7,6]=>[1,2,5,3,4,7,6]=>([(2,3),(4,6),(5,6)],7)
[4,7,6,3,1,2,5]=>[1,2,5,3,4,7,6]=>[1,2,5,3,4,7,6]=>([(2,3),(4,6),(5,6)],7)
[4,7,6,3,1,5,2]=>[1,5,2,3,4,7,6]=>[1,5,2,3,4,7,6]=>([(1,2),(3,6),(4,6),(5,6)],7)
[4,7,6,3,2,1,5]=>[1,5,2,3,4,7,6]=>[1,5,2,3,4,7,6]=>([(1,2),(3,6),(4,6),(5,6)],7)
[4,7,6,3,2,5,1]=>[1,2,5,3,4,7,6]=>[1,2,5,3,4,7,6]=>([(2,3),(4,6),(5,6)],7)
[4,7,6,3,5,1,2]=>[1,2,3,5,4,7,6]=>[1,2,3,5,4,7,6]=>([(3,6),(4,5)],7)
[4,7,6,3,5,2,1]=>[1,2,3,5,4,7,6]=>[1,2,3,5,4,7,6]=>([(3,6),(4,5)],7)
[4,7,6,5,1,2,3]=>[1,2,3,4,7,5,6]=>[1,2,3,4,7,5,6]=>([(4,6),(5,6)],7)
[4,7,6,5,1,3,2]=>[1,3,2,4,7,5,6]=>[1,3,2,4,7,5,6]=>([(2,3),(4,6),(5,6)],7)
[4,7,6,5,2,1,3]=>[1,3,2,4,7,5,6]=>[1,3,2,4,7,5,6]=>([(2,3),(4,6),(5,6)],7)
[4,7,6,5,2,3,1]=>[1,2,3,4,7,5,6]=>[1,2,3,4,7,5,6]=>([(4,6),(5,6)],7)
[4,7,6,5,3,1,2]=>[1,2,3,4,7,5,6]=>[1,2,3,4,7,5,6]=>([(4,6),(5,6)],7)
[4,7,6,5,3,2,1]=>[1,2,3,4,7,5,6]=>[1,2,3,4,7,5,6]=>([(4,6),(5,6)],7)
[5,1,2,3,4,6,7]=>[1,2,3,4,6,7,5]=>[1,2,3,4,7,6,5]=>([(4,5),(4,6),(5,6)],7)
[5,1,2,3,4,7,6]=>[1,2,3,4,7,5,6]=>[1,2,3,4,7,5,6]=>([(4,6),(5,6)],7)
[5,1,2,3,6,4,7]=>[1,2,3,6,4,7,5]=>[1,2,3,6,7,4,5]=>([(3,5),(3,6),(4,5),(4,6)],7)
[5,1,2,3,6,7,4]=>[1,2,3,6,7,4,5]=>[1,2,3,7,4,6,5]=>([(3,6),(4,5),(4,6),(5,6)],7)
[5,1,2,3,7,4,6]=>[1,2,3,7,4,6,5]=>[1,2,3,7,6,4,5]=>([(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,1,2,3,7,6,4]=>[1,2,3,7,4,5,6]=>[1,2,3,7,4,5,6]=>([(3,6),(4,6),(5,6)],7)
[5,1,2,4,3,6,7]=>[1,2,4,3,6,7,5]=>[1,2,4,3,7,6,5]=>([(2,3),(4,5),(4,6),(5,6)],7)
[5,1,2,4,3,7,6]=>[1,2,4,3,7,5,6]=>[1,2,4,3,7,5,6]=>([(2,3),(4,6),(5,6)],7)
[5,1,2,4,6,3,7]=>[1,2,4,6,3,7,5]=>[1,2,6,4,7,3,5]=>([(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7)
[5,1,2,4,6,7,3]=>[1,2,4,6,7,3,5]=>[1,2,7,4,3,6,5]=>([(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7)
[5,1,2,4,7,3,6]=>[1,2,4,7,3,6,5]=>[1,2,7,4,6,3,5]=>([(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[5,1,2,4,7,6,3]=>[1,2,4,7,3,5,6]=>[1,2,7,4,3,5,6]=>([(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[5,1,2,6,3,4,7]=>[1,2,6,3,4,7,5]=>[1,2,6,3,7,4,5]=>([(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[5,1,2,6,3,7,4]=>[1,2,6,3,7,4,5]=>[1,2,6,7,4,3,5]=>([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[5,1,2,6,4,3,7]=>[1,2,6,3,7,4,5]=>[1,2,6,7,4,3,5]=>([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[5,1,2,6,4,7,3]=>[1,2,6,3,4,7,5]=>[1,2,6,3,7,4,5]=>([(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[5,1,2,6,7,3,4]=>[1,2,6,7,3,4,5]=>[1,2,7,3,4,6,5]=>([(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[5,1,2,6,7,4,3]=>[1,2,6,7,3,4,5]=>[1,2,7,3,4,6,5]=>([(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[5,1,2,7,3,4,6]=>[1,2,7,3,4,6,5]=>[1,2,7,3,6,4,5]=>([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,1,2,7,3,6,4]=>[1,2,7,3,6,4,5]=>[1,2,7,6,4,3,5]=>([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,1,2,7,4,3,6]=>[1,2,7,3,6,4,5]=>[1,2,7,6,4,3,5]=>([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,1,2,7,4,6,3]=>[1,2,7,3,4,6,5]=>[1,2,7,3,6,4,5]=>([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,1,2,7,6,3,4]=>[1,2,7,3,4,5,6]=>[1,2,7,3,4,5,6]=>([(2,6),(3,6),(4,6),(5,6)],7)
[5,1,2,7,6,4,3]=>[1,2,7,3,4,5,6]=>[1,2,7,3,4,5,6]=>([(2,6),(3,6),(4,6),(5,6)],7)
[5,1,3,2,4,6,7]=>[1,3,2,4,6,7,5]=>[1,3,2,4,7,6,5]=>([(2,3),(4,5),(4,6),(5,6)],7)
[5,1,3,2,4,7,6]=>[1,3,2,4,7,5,6]=>[1,3,2,4,7,5,6]=>([(2,3),(4,6),(5,6)],7)
[5,1,3,2,6,4,7]=>[1,3,2,6,4,7,5]=>[1,3,2,6,7,4,5]=>([(1,2),(3,5),(3,6),(4,5),(4,6)],7)
[5,1,3,2,6,7,4]=>[1,3,2,6,7,4,5]=>[1,3,2,7,4,6,5]=>([(1,2),(3,6),(4,5),(4,6),(5,6)],7)
[5,1,3,2,7,4,6]=>[1,3,2,7,4,6,5]=>[1,3,2,7,6,4,5]=>([(1,2),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,1,3,2,7,6,4]=>[1,3,2,7,4,5,6]=>[1,3,2,7,4,5,6]=>([(1,2),(3,6),(4,6),(5,6)],7)
[5,1,3,4,2,6,7]=>[1,3,4,2,6,7,5]=>[1,4,3,2,7,6,5]=>([(1,5),(1,6),(2,3),(2,4),(3,4),(5,6)],7)
[5,1,3,4,2,7,6]=>[1,3,4,2,7,5,6]=>[1,4,3,2,7,5,6]=>([(1,6),(2,6),(3,4),(3,5),(4,5)],7)
[5,1,3,4,6,2,7]=>[1,3,4,6,2,7,5]=>[1,6,3,4,7,2,5]=>([(1,2),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,1,3,4,6,7,2]=>[1,3,4,6,7,2,5]=>[1,7,3,4,2,6,5]=>([(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,1,3,4,7,2,6]=>[1,3,4,7,2,6,5]=>[1,7,3,4,6,2,5]=>([(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[5,1,3,4,7,6,2]=>[1,3,4,7,2,5,6]=>[1,7,3,4,2,5,6]=>([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,1,3,6,2,4,7]=>[1,3,6,2,4,7,5]=>[1,6,3,2,7,4,5]=>([(1,4),(1,5),(2,3),(2,6),(3,6),(4,6),(5,6)],7)
[5,1,3,6,2,7,4]=>[1,3,6,2,7,4,5]=>[1,6,3,7,4,2,5]=>([(1,5),(1,6),(2,3),(2,5),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[5,1,3,6,4,2,7]=>[1,3,6,2,7,4,5]=>[1,6,3,7,4,2,5]=>([(1,5),(1,6),(2,3),(2,5),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[5,1,3,6,4,7,2]=>[1,3,6,2,4,7,5]=>[1,6,3,2,7,4,5]=>([(1,4),(1,5),(2,3),(2,6),(3,6),(4,6),(5,6)],7)
[5,1,3,6,7,2,4]=>[1,3,6,7,2,4,5]=>[1,7,3,2,4,6,5]=>([(1,6),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7)
[5,1,3,6,7,4,2]=>[1,3,6,7,2,4,5]=>[1,7,3,2,4,6,5]=>([(1,6),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7)
[5,1,3,7,2,4,6]=>[1,3,7,2,4,6,5]=>[1,7,3,2,6,4,5]=>([(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,1,3,7,2,6,4]=>[1,3,7,2,6,4,5]=>[1,7,3,6,4,2,5]=>([(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,1,3,7,4,2,6]=>[1,3,7,2,6,4,5]=>[1,7,3,6,4,2,5]=>([(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,1,3,7,4,6,2]=>[1,3,7,2,4,6,5]=>[1,7,3,2,6,4,5]=>([(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,1,3,7,6,2,4]=>[1,3,7,2,4,5,6]=>[1,7,3,2,4,5,6]=>([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[5,1,3,7,6,4,2]=>[1,3,7,2,4,5,6]=>[1,7,3,2,4,5,6]=>([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[5,1,4,2,3,6,7]=>[1,4,2,3,6,7,5]=>[1,4,2,3,7,6,5]=>([(1,6),(2,6),(3,4),(3,5),(4,5)],7)
[5,1,4,2,3,7,6]=>[1,4,2,3,7,5,6]=>[1,4,2,3,7,5,6]=>([(1,6),(2,6),(3,5),(4,5)],7)
[5,1,4,2,6,3,7]=>[1,4,2,6,3,7,5]=>[1,4,6,2,7,3,5]=>([(1,4),(1,6),(2,3),(2,6),(3,5),(4,5),(5,6)],7)
[5,1,4,2,6,7,3]=>[1,4,2,6,7,3,5]=>[1,4,7,2,3,6,5]=>([(1,4),(1,5),(2,3),(2,6),(3,6),(4,6),(5,6)],7)
[5,1,4,2,7,3,6]=>[1,4,2,7,3,6,5]=>[1,4,7,2,6,3,5]=>([(1,2),(1,6),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,1,4,2,7,6,3]=>[1,4,2,7,3,5,6]=>[1,4,7,2,3,5,6]=>([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[5,1,4,3,2,6,7]=>[1,4,2,6,7,3,5]=>[1,4,7,2,3,6,5]=>([(1,4),(1,5),(2,3),(2,6),(3,6),(4,6),(5,6)],7)
[5,1,4,3,2,7,6]=>[1,4,2,7,3,5,6]=>[1,4,7,2,3,5,6]=>([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[5,1,4,3,6,2,7]=>[1,4,2,7,3,6,5]=>[1,4,7,2,6,3,5]=>([(1,2),(1,6),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,1,4,3,6,7,2]=>[1,4,2,3,6,7,5]=>[1,4,2,3,7,6,5]=>([(1,6),(2,6),(3,4),(3,5),(4,5)],7)
[5,1,4,3,7,2,6]=>[1,4,2,6,3,7,5]=>[1,4,6,2,7,3,5]=>([(1,4),(1,6),(2,3),(2,6),(3,5),(4,5),(5,6)],7)
[5,1,4,3,7,6,2]=>[1,4,2,3,7,5,6]=>[1,4,2,3,7,5,6]=>([(1,6),(2,6),(3,5),(4,5)],7)
[5,1,4,6,2,3,7]=>[1,4,6,2,3,7,5]=>[1,6,2,4,7,3,5]=>([(1,6),(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7)
[5,1,4,6,2,7,3]=>[1,4,6,2,7,3,5]=>[1,6,7,4,3,2,5]=>([(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[5,1,4,6,3,2,7]=>[1,4,6,2,7,3,5]=>[1,6,7,4,3,2,5]=>([(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[5,1,4,6,3,7,2]=>[1,4,6,2,3,7,5]=>[1,6,2,4,7,3,5]=>([(1,6),(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7)
[5,1,4,6,7,2,3]=>[1,4,6,7,2,3,5]=>[1,7,2,4,3,6,5]=>([(1,6),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7)
[5,1,4,6,7,3,2]=>[1,4,6,7,2,3,5]=>[1,7,2,4,3,6,5]=>([(1,6),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7)
[5,1,4,7,2,3,6]=>[1,4,7,2,3,6,5]=>[1,7,2,4,6,3,5]=>([(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[5,1,4,7,2,6,3]=>[1,4,7,2,6,3,5]=>[1,7,6,4,3,2,5]=>([(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,1,4,7,3,2,6]=>[1,4,7,2,6,3,5]=>[1,7,6,4,3,2,5]=>([(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,1,4,7,3,6,2]=>[1,4,7,2,3,6,5]=>[1,7,2,4,6,3,5]=>([(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[5,1,4,7,6,2,3]=>[1,4,7,2,3,5,6]=>[1,7,2,4,3,5,6]=>([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[5,1,4,7,6,3,2]=>[1,4,7,2,3,5,6]=>[1,7,2,4,3,5,6]=>([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[5,1,6,2,3,4,7]=>[1,6,2,3,4,7,5]=>[1,6,2,3,7,4,5]=>([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[5,1,6,2,3,7,4]=>[1,6,2,3,7,4,5]=>[1,6,2,7,4,3,5]=>([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[5,1,6,2,4,3,7]=>[1,6,2,4,3,7,5]=>[1,6,4,2,7,3,5]=>([(1,2),(1,6),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,1,6,2,4,7,3]=>[1,6,2,4,7,3,5]=>[1,6,7,2,3,4,5]=>([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[5,1,6,2,7,3,4]=>[1,6,2,7,3,4,5]=>[1,6,7,3,4,2,5]=>([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[5,1,6,2,7,4,3]=>[1,6,2,7,3,4,5]=>[1,6,7,3,4,2,5]=>([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[5,1,6,3,2,4,7]=>[1,6,2,4,7,3,5]=>[1,6,7,2,3,4,5]=>([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[5,1,6,3,2,7,4]=>[1,6,2,7,3,4,5]=>[1,6,7,3,4,2,5]=>([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[5,1,6,3,4,2,7]=>[1,6,2,7,3,4,5]=>[1,6,7,3,4,2,5]=>([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[5,1,6,3,4,7,2]=>[1,6,2,3,4,7,5]=>[1,6,2,3,7,4,5]=>([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[5,1,6,3,7,2,4]=>[1,6,2,4,3,7,5]=>[1,6,4,2,7,3,5]=>([(1,2),(1,6),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,1,6,3,7,4,2]=>[1,6,2,3,7,4,5]=>[1,6,2,7,4,3,5]=>([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[5,1,6,4,2,3,7]=>[1,6,2,3,7,4,5]=>[1,6,2,7,4,3,5]=>([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[5,1,6,4,2,7,3]=>[1,6,2,7,3,4,5]=>[1,6,7,3,4,2,5]=>([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[5,1,6,4,3,2,7]=>[1,6,2,7,3,4,5]=>[1,6,7,3,4,2,5]=>([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[5,1,6,4,3,7,2]=>[1,6,2,3,7,4,5]=>[1,6,2,7,4,3,5]=>([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[5,1,6,4,7,2,3]=>[1,6,2,3,4,7,5]=>[1,6,2,3,7,4,5]=>([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[5,1,6,4,7,3,2]=>[1,6,2,3,4,7,5]=>[1,6,2,3,7,4,5]=>([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[5,1,6,7,2,3,4]=>[1,6,7,2,3,4,5]=>[1,7,2,3,4,6,5]=>([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[5,1,6,7,2,4,3]=>[1,6,7,2,4,3,5]=>[1,7,4,2,3,6,5]=>([(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,1,6,7,3,2,4]=>[1,6,7,2,4,3,5]=>[1,7,4,2,3,6,5]=>([(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,1,6,7,3,4,2]=>[1,6,7,2,3,4,5]=>[1,7,2,3,4,6,5]=>([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[5,1,6,7,4,2,3]=>[1,6,7,2,3,4,5]=>[1,7,2,3,4,6,5]=>([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[5,1,6,7,4,3,2]=>[1,6,7,2,3,4,5]=>[1,7,2,3,4,6,5]=>([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[5,1,7,2,3,4,6]=>[1,7,2,3,4,6,5]=>[1,7,2,3,6,4,5]=>([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,1,7,2,3,6,4]=>[1,7,2,3,6,4,5]=>[1,7,2,6,4,3,5]=>([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,1,7,2,4,3,6]=>[1,7,2,4,3,6,5]=>[1,7,4,2,6,3,5]=>([(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[5,1,7,2,4,6,3]=>[1,7,2,4,6,3,5]=>[1,7,6,2,3,4,5]=>([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,1,7,2,6,3,4]=>[1,7,2,6,3,4,5]=>[1,7,6,3,4,2,5]=>([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,1,7,2,6,4,3]=>[1,7,2,6,3,4,5]=>[1,7,6,3,4,2,5]=>([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,1,7,3,2,4,6]=>[1,7,2,4,6,3,5]=>[1,7,6,2,3,4,5]=>([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,1,7,3,2,6,4]=>[1,7,2,6,3,4,5]=>[1,7,6,3,4,2,5]=>([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,1,7,3,4,2,6]=>[1,7,2,6,3,4,5]=>[1,7,6,3,4,2,5]=>([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,1,7,3,4,6,2]=>[1,7,2,3,4,6,5]=>[1,7,2,3,6,4,5]=>([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,1,7,3,6,2,4]=>[1,7,2,4,3,6,5]=>[1,7,4,2,6,3,5]=>([(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[5,1,7,3,6,4,2]=>[1,7,2,3,6,4,5]=>[1,7,2,6,4,3,5]=>([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,1,7,4,2,3,6]=>[1,7,2,3,6,4,5]=>[1,7,2,6,4,3,5]=>([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,1,7,4,2,6,3]=>[1,7,2,6,3,4,5]=>[1,7,6,3,4,2,5]=>([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,1,7,4,3,2,6]=>[1,7,2,6,3,4,5]=>[1,7,6,3,4,2,5]=>([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,1,7,4,3,6,2]=>[1,7,2,3,6,4,5]=>[1,7,2,6,4,3,5]=>([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,1,7,4,6,2,3]=>[1,7,2,3,4,6,5]=>[1,7,2,3,6,4,5]=>([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,1,7,4,6,3,2]=>[1,7,2,3,4,6,5]=>[1,7,2,3,6,4,5]=>([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,1,7,6,2,3,4]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[5,1,7,6,2,4,3]=>[1,7,2,4,3,5,6]=>[1,7,4,2,3,5,6]=>([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,1,7,6,3,2,4]=>[1,7,2,4,3,5,6]=>[1,7,4,2,3,5,6]=>([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,1,7,6,3,4,2]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[5,1,7,6,4,2,3]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[5,1,7,6,4,3,2]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[5,2,1,3,4,6,7]=>[1,3,4,6,7,2,5]=>[1,7,3,4,2,6,5]=>([(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,2,1,3,4,7,6]=>[1,3,4,7,2,5,6]=>[1,7,3,4,2,5,6]=>([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,2,1,3,6,4,7]=>[1,3,6,2,4,7,5]=>[1,6,3,2,7,4,5]=>([(1,4),(1,5),(2,3),(2,6),(3,6),(4,6),(5,6)],7)
[5,2,1,3,6,7,4]=>[1,3,6,7,2,4,5]=>[1,7,3,2,4,6,5]=>([(1,6),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7)
[5,2,1,3,7,4,6]=>[1,3,7,2,4,6,5]=>[1,7,3,2,6,4,5]=>([(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,2,1,3,7,6,4]=>[1,3,7,2,4,5,6]=>[1,7,3,2,4,5,6]=>([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[5,2,1,4,3,6,7]=>[1,4,2,3,6,7,5]=>[1,4,2,3,7,6,5]=>([(1,6),(2,6),(3,4),(3,5),(4,5)],7)
[5,2,1,4,3,7,6]=>[1,4,2,3,7,5,6]=>[1,4,2,3,7,5,6]=>([(1,6),(2,6),(3,5),(4,5)],7)
[5,2,1,4,6,3,7]=>[1,4,6,2,3,7,5]=>[1,6,2,4,7,3,5]=>([(1,6),(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7)
[5,2,1,4,6,7,3]=>[1,4,6,7,2,3,5]=>[1,7,2,4,3,6,5]=>([(1,6),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7)
[5,2,1,4,7,3,6]=>[1,4,7,2,3,6,5]=>[1,7,2,4,6,3,5]=>([(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[5,2,1,4,7,6,3]=>[1,4,7,2,3,5,6]=>[1,7,2,4,3,5,6]=>([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[5,2,1,6,3,4,7]=>[1,6,2,3,4,7,5]=>[1,6,2,3,7,4,5]=>([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[5,2,1,6,3,7,4]=>[1,6,2,3,7,4,5]=>[1,6,2,7,4,3,5]=>([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[5,2,1,6,4,3,7]=>[1,6,2,3,7,4,5]=>[1,6,2,7,4,3,5]=>([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[5,2,1,6,4,7,3]=>[1,6,2,3,4,7,5]=>[1,6,2,3,7,4,5]=>([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[5,2,1,6,7,3,4]=>[1,6,7,2,3,4,5]=>[1,7,2,3,4,6,5]=>([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[5,2,1,6,7,4,3]=>[1,6,7,2,3,4,5]=>[1,7,2,3,4,6,5]=>([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[5,2,1,7,3,4,6]=>[1,7,2,3,4,6,5]=>[1,7,2,3,6,4,5]=>([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,2,1,7,3,6,4]=>[1,7,2,3,6,4,5]=>[1,7,2,6,4,3,5]=>([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,2,1,7,4,3,6]=>[1,7,2,3,6,4,5]=>[1,7,2,6,4,3,5]=>([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,2,1,7,4,6,3]=>[1,7,2,3,4,6,5]=>[1,7,2,3,6,4,5]=>([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,2,1,7,6,3,4]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[5,2,1,7,6,4,3]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[5,2,3,1,4,6,7]=>[1,4,6,7,2,3,5]=>[1,7,2,4,3,6,5]=>([(1,6),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7)
[5,2,3,1,4,7,6]=>[1,4,7,2,3,5,6]=>[1,7,2,4,3,5,6]=>([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[5,2,3,1,6,4,7]=>[1,6,2,3,4,7,5]=>[1,6,2,3,7,4,5]=>([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[5,2,3,1,6,7,4]=>[1,6,7,2,3,4,5]=>[1,7,2,3,4,6,5]=>([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[5,2,3,1,7,4,6]=>[1,7,2,3,4,6,5]=>[1,7,2,3,6,4,5]=>([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,2,3,1,7,6,4]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[5,2,3,4,1,6,7]=>[1,6,7,2,3,4,5]=>[1,7,2,3,4,6,5]=>([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[5,2,3,4,1,7,6]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[5,2,3,4,6,1,7]=>[1,7,2,3,4,6,5]=>[1,7,2,3,6,4,5]=>([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,2,3,4,6,7,1]=>[1,2,3,4,6,7,5]=>[1,2,3,4,7,6,5]=>([(4,5),(4,6),(5,6)],7)
[5,2,3,4,7,1,6]=>[1,6,2,3,4,7,5]=>[1,6,2,3,7,4,5]=>([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[5,2,3,4,7,6,1]=>[1,2,3,4,7,5,6]=>[1,2,3,4,7,5,6]=>([(4,6),(5,6)],7)
[5,2,3,6,1,4,7]=>[1,4,7,2,3,6,5]=>[1,7,2,4,6,3,5]=>([(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[5,2,3,6,1,7,4]=>[1,7,2,3,6,4,5]=>[1,7,2,6,4,3,5]=>([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,2,3,6,4,1,7]=>[1,7,2,3,6,4,5]=>[1,7,2,6,4,3,5]=>([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,2,3,6,4,7,1]=>[1,2,3,6,4,7,5]=>[1,2,3,6,7,4,5]=>([(3,5),(3,6),(4,5),(4,6)],7)
[5,2,3,6,7,1,4]=>[1,4,2,3,6,7,5]=>[1,4,2,3,7,6,5]=>([(1,6),(2,6),(3,4),(3,5),(4,5)],7)
[5,2,3,6,7,4,1]=>[1,2,3,6,7,4,5]=>[1,2,3,7,4,6,5]=>([(3,6),(4,5),(4,6),(5,6)],7)
[5,2,3,7,1,4,6]=>[1,4,6,2,3,7,5]=>[1,6,2,4,7,3,5]=>([(1,6),(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7)
[5,2,3,7,1,6,4]=>[1,6,2,3,7,4,5]=>[1,6,2,7,4,3,5]=>([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[5,2,3,7,4,1,6]=>[1,6,2,3,7,4,5]=>[1,6,2,7,4,3,5]=>([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[5,2,3,7,4,6,1]=>[1,2,3,7,4,6,5]=>[1,2,3,7,6,4,5]=>([(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,2,3,7,6,1,4]=>[1,4,2,3,7,5,6]=>[1,4,2,3,7,5,6]=>([(1,6),(2,6),(3,5),(4,5)],7)
[5,2,3,7,6,4,1]=>[1,2,3,7,4,5,6]=>[1,2,3,7,4,5,6]=>([(3,6),(4,6),(5,6)],7)
[5,2,4,1,3,6,7]=>[1,3,6,7,2,4,5]=>[1,7,3,2,4,6,5]=>([(1,6),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7)
[5,2,4,1,3,7,6]=>[1,3,7,2,4,5,6]=>[1,7,3,2,4,5,6]=>([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[5,2,4,1,6,3,7]=>[1,6,2,4,3,7,5]=>[1,6,4,2,7,3,5]=>([(1,2),(1,6),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,2,4,1,6,7,3]=>[1,6,7,2,4,3,5]=>[1,7,4,2,3,6,5]=>([(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,2,4,1,7,3,6]=>[1,7,2,4,3,6,5]=>[1,7,4,2,6,3,5]=>([(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[5,2,4,1,7,6,3]=>[1,7,2,4,3,5,6]=>[1,7,4,2,3,5,6]=>([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,2,4,3,1,6,7]=>[1,6,7,2,4,3,5]=>[1,7,4,2,3,6,5]=>([(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,2,4,3,1,7,6]=>[1,7,2,4,3,5,6]=>[1,7,4,2,3,5,6]=>([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,2,4,3,6,1,7]=>[1,7,2,4,3,6,5]=>[1,7,4,2,6,3,5]=>([(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[5,2,4,3,6,7,1]=>[1,2,4,3,6,7,5]=>[1,2,4,3,7,6,5]=>([(2,3),(4,5),(4,6),(5,6)],7)
[5,2,4,3,7,1,6]=>[1,6,2,4,3,7,5]=>[1,6,4,2,7,3,5]=>([(1,2),(1,6),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,2,4,3,7,6,1]=>[1,2,4,3,7,5,6]=>[1,2,4,3,7,5,6]=>([(2,3),(4,6),(5,6)],7)
[5,2,4,6,1,3,7]=>[1,3,7,2,4,6,5]=>[1,7,3,2,6,4,5]=>([(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,2,4,6,1,7,3]=>[1,7,2,4,6,3,5]=>[1,7,6,2,3,4,5]=>([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,2,4,6,3,1,7]=>[1,7,2,4,6,3,5]=>[1,7,6,2,3,4,5]=>([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,2,4,6,3,7,1]=>[1,2,4,6,3,7,5]=>[1,2,6,4,7,3,5]=>([(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7)
[5,2,4,6,7,1,3]=>[1,3,2,4,6,7,5]=>[1,3,2,4,7,6,5]=>([(2,3),(4,5),(4,6),(5,6)],7)
[5,2,4,6,7,3,1]=>[1,2,4,6,7,3,5]=>[1,2,7,4,3,6,5]=>([(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7)
[5,2,4,7,1,3,6]=>[1,3,6,2,4,7,5]=>[1,6,3,2,7,4,5]=>([(1,4),(1,5),(2,3),(2,6),(3,6),(4,6),(5,6)],7)
[5,2,4,7,1,6,3]=>[1,6,2,4,7,3,5]=>[1,6,7,2,3,4,5]=>([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[5,2,4,7,3,1,6]=>[1,6,2,4,7,3,5]=>[1,6,7,2,3,4,5]=>([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[5,2,4,7,3,6,1]=>[1,2,4,7,3,6,5]=>[1,2,7,4,6,3,5]=>([(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[5,2,4,7,6,1,3]=>[1,3,2,4,7,5,6]=>[1,3,2,4,7,5,6]=>([(2,3),(4,6),(5,6)],7)
[5,2,4,7,6,3,1]=>[1,2,4,7,3,5,6]=>[1,2,7,4,3,5,6]=>([(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[5,2,6,1,3,4,7]=>[1,3,4,7,2,6,5]=>[1,7,3,4,6,2,5]=>([(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[5,2,6,1,3,7,4]=>[1,3,7,2,6,4,5]=>[1,7,3,6,4,2,5]=>([(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,2,6,1,4,3,7]=>[1,4,2,6,3,7,5]=>[1,4,6,2,7,3,5]=>([(1,4),(1,6),(2,3),(2,6),(3,5),(4,5),(5,6)],7)
[5,2,6,1,4,7,3]=>[1,4,7,2,6,3,5]=>[1,7,6,4,3,2,5]=>([(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,2,6,1,7,3,4]=>[1,7,2,6,3,4,5]=>[1,7,6,3,4,2,5]=>([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,2,6,1,7,4,3]=>[1,7,2,6,3,4,5]=>[1,7,6,3,4,2,5]=>([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,2,6,3,1,4,7]=>[1,4,7,2,6,3,5]=>[1,7,6,4,3,2,5]=>([(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,2,6,3,1,7,4]=>[1,7,2,6,3,4,5]=>[1,7,6,3,4,2,5]=>([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,2,6,3,4,1,7]=>[1,7,2,6,3,4,5]=>[1,7,6,3,4,2,5]=>([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,2,6,3,4,7,1]=>[1,2,6,3,4,7,5]=>[1,2,6,3,7,4,5]=>([(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[5,2,6,3,7,1,4]=>[1,4,2,6,3,7,5]=>[1,4,6,2,7,3,5]=>([(1,4),(1,6),(2,3),(2,6),(3,5),(4,5),(5,6)],7)
[5,2,6,3,7,4,1]=>[1,2,6,3,7,4,5]=>[1,2,6,7,4,3,5]=>([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[5,2,6,4,1,3,7]=>[1,3,7,2,6,4,5]=>[1,7,3,6,4,2,5]=>([(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,2,6,4,1,7,3]=>[1,7,2,6,3,4,5]=>[1,7,6,3,4,2,5]=>([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,2,6,4,3,1,7]=>[1,7,2,6,3,4,5]=>[1,7,6,3,4,2,5]=>([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,2,6,4,3,7,1]=>[1,2,6,3,7,4,5]=>[1,2,6,7,4,3,5]=>([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[5,2,6,4,7,1,3]=>[1,3,2,6,4,7,5]=>[1,3,2,6,7,4,5]=>([(1,2),(3,5),(3,6),(4,5),(4,6)],7)
[5,2,6,4,7,3,1]=>[1,2,6,3,4,7,5]=>[1,2,6,3,7,4,5]=>([(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[5,2,6,7,1,3,4]=>[1,3,4,2,6,7,5]=>[1,4,3,2,7,6,5]=>([(1,5),(1,6),(2,3),(2,4),(3,4),(5,6)],7)
[5,2,6,7,1,4,3]=>[1,4,2,6,7,3,5]=>[1,4,7,2,3,6,5]=>([(1,4),(1,5),(2,3),(2,6),(3,6),(4,6),(5,6)],7)
[5,2,6,7,3,1,4]=>[1,4,2,6,7,3,5]=>[1,4,7,2,3,6,5]=>([(1,4),(1,5),(2,3),(2,6),(3,6),(4,6),(5,6)],7)
[5,2,6,7,3,4,1]=>[1,2,6,7,3,4,5]=>[1,2,7,3,4,6,5]=>([(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[5,2,6,7,4,1,3]=>[1,3,2,6,7,4,5]=>[1,3,2,7,4,6,5]=>([(1,2),(3,6),(4,5),(4,6),(5,6)],7)
[5,2,6,7,4,3,1]=>[1,2,6,7,3,4,5]=>[1,2,7,3,4,6,5]=>([(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[5,2,7,1,3,4,6]=>[1,3,4,6,2,7,5]=>[1,6,3,4,7,2,5]=>([(1,2),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,2,7,1,3,6,4]=>[1,3,6,2,7,4,5]=>[1,6,3,7,4,2,5]=>([(1,5),(1,6),(2,3),(2,5),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[5,2,7,1,4,3,6]=>[1,4,2,7,3,6,5]=>[1,4,7,2,6,3,5]=>([(1,2),(1,6),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,2,7,1,4,6,3]=>[1,4,6,2,7,3,5]=>[1,6,7,4,3,2,5]=>([(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[5,2,7,1,6,3,4]=>[1,6,2,7,3,4,5]=>[1,6,7,3,4,2,5]=>([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[5,2,7,1,6,4,3]=>[1,6,2,7,3,4,5]=>[1,6,7,3,4,2,5]=>([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[5,2,7,3,1,4,6]=>[1,4,6,2,7,3,5]=>[1,6,7,4,3,2,5]=>([(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[5,2,7,3,1,6,4]=>[1,6,2,7,3,4,5]=>[1,6,7,3,4,2,5]=>([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[5,2,7,3,4,1,6]=>[1,6,2,7,3,4,5]=>[1,6,7,3,4,2,5]=>([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[5,2,7,3,4,6,1]=>[1,2,7,3,4,6,5]=>[1,2,7,3,6,4,5]=>([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,2,7,3,6,1,4]=>[1,4,2,7,3,6,5]=>[1,4,7,2,6,3,5]=>([(1,2),(1,6),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,2,7,3,6,4,1]=>[1,2,7,3,6,4,5]=>[1,2,7,6,4,3,5]=>([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,2,7,4,1,3,6]=>[1,3,6,2,7,4,5]=>[1,6,3,7,4,2,5]=>([(1,5),(1,6),(2,3),(2,5),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[5,2,7,4,1,6,3]=>[1,6,2,7,3,4,5]=>[1,6,7,3,4,2,5]=>([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[5,2,7,4,3,1,6]=>[1,6,2,7,3,4,5]=>[1,6,7,3,4,2,5]=>([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[5,2,7,4,3,6,1]=>[1,2,7,3,6,4,5]=>[1,2,7,6,4,3,5]=>([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,2,7,4,6,1,3]=>[1,3,2,7,4,6,5]=>[1,3,2,7,6,4,5]=>([(1,2),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,2,7,4,6,3,1]=>[1,2,7,3,4,6,5]=>[1,2,7,3,6,4,5]=>([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,2,7,6,1,3,4]=>[1,3,4,2,7,5,6]=>[1,4,3,2,7,5,6]=>([(1,6),(2,6),(3,4),(3,5),(4,5)],7)
[5,2,7,6,1,4,3]=>[1,4,2,7,3,5,6]=>[1,4,7,2,3,5,6]=>([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[5,2,7,6,3,1,4]=>[1,4,2,7,3,5,6]=>[1,4,7,2,3,5,6]=>([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[5,2,7,6,3,4,1]=>[1,2,7,3,4,5,6]=>[1,2,7,3,4,5,6]=>([(2,6),(3,6),(4,6),(5,6)],7)
[5,2,7,6,4,1,3]=>[1,3,2,7,4,5,6]=>[1,3,2,7,4,5,6]=>([(1,2),(3,6),(4,6),(5,6)],7)
[5,2,7,6,4,3,1]=>[1,2,7,3,4,5,6]=>[1,2,7,3,4,5,6]=>([(2,6),(3,6),(4,6),(5,6)],7)
[5,3,1,2,4,6,7]=>[1,2,4,6,7,3,5]=>[1,2,7,4,3,6,5]=>([(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7)
[5,3,1,2,4,7,6]=>[1,2,4,7,3,5,6]=>[1,2,7,4,3,5,6]=>([(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[5,3,1,2,6,4,7]=>[1,2,6,3,4,7,5]=>[1,2,6,3,7,4,5]=>([(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[5,3,1,2,6,7,4]=>[1,2,6,7,3,4,5]=>[1,2,7,3,4,6,5]=>([(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[5,3,1,2,7,4,6]=>[1,2,7,3,4,6,5]=>[1,2,7,3,6,4,5]=>([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,3,1,2,7,6,4]=>[1,2,7,3,4,5,6]=>[1,2,7,3,4,5,6]=>([(2,6),(3,6),(4,6),(5,6)],7)
[5,3,1,4,2,6,7]=>[1,4,2,6,7,3,5]=>[1,4,7,2,3,6,5]=>([(1,4),(1,5),(2,3),(2,6),(3,6),(4,6),(5,6)],7)
[5,3,1,4,2,7,6]=>[1,4,2,7,3,5,6]=>[1,4,7,2,3,5,6]=>([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[5,3,1,4,6,2,7]=>[1,4,6,2,7,3,5]=>[1,6,7,4,3,2,5]=>([(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[5,3,1,4,6,7,2]=>[1,4,6,7,2,3,5]=>[1,7,2,4,3,6,5]=>([(1,6),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7)
[5,3,1,4,7,2,6]=>[1,4,7,2,6,3,5]=>[1,7,6,4,3,2,5]=>([(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,3,1,4,7,6,2]=>[1,4,7,2,3,5,6]=>[1,7,2,4,3,5,6]=>([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[5,3,1,6,2,4,7]=>[1,6,2,4,7,3,5]=>[1,6,7,2,3,4,5]=>([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[5,3,1,6,2,7,4]=>[1,6,2,7,3,4,5]=>[1,6,7,3,4,2,5]=>([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[5,3,1,6,4,2,7]=>[1,6,2,7,3,4,5]=>[1,6,7,3,4,2,5]=>([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[5,3,1,6,4,7,2]=>[1,6,2,3,4,7,5]=>[1,6,2,3,7,4,5]=>([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[5,3,1,6,7,2,4]=>[1,6,7,2,4,3,5]=>[1,7,4,2,3,6,5]=>([(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,3,1,6,7,4,2]=>[1,6,7,2,3,4,5]=>[1,7,2,3,4,6,5]=>([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[5,3,1,7,2,4,6]=>[1,7,2,4,6,3,5]=>[1,7,6,2,3,4,5]=>([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,3,1,7,2,6,4]=>[1,7,2,6,3,4,5]=>[1,7,6,3,4,2,5]=>([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,3,1,7,4,2,6]=>[1,7,2,6,3,4,5]=>[1,7,6,3,4,2,5]=>([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,3,1,7,4,6,2]=>[1,7,2,3,4,6,5]=>[1,7,2,3,6,4,5]=>([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,3,1,7,6,2,4]=>[1,7,2,4,3,5,6]=>[1,7,4,2,3,5,6]=>([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,3,1,7,6,4,2]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[5,3,2,1,4,6,7]=>[1,4,6,7,2,3,5]=>[1,7,2,4,3,6,5]=>([(1,6),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7)
[5,3,2,1,4,7,6]=>[1,4,7,2,3,5,6]=>[1,7,2,4,3,5,6]=>([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[5,3,2,1,6,4,7]=>[1,6,2,3,4,7,5]=>[1,6,2,3,7,4,5]=>([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[5,3,2,1,6,7,4]=>[1,6,7,2,3,4,5]=>[1,7,2,3,4,6,5]=>([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[5,3,2,1,7,4,6]=>[1,7,2,3,4,6,5]=>[1,7,2,3,6,4,5]=>([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,3,2,1,7,6,4]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[5,3,2,4,1,6,7]=>[1,6,7,2,4,3,5]=>[1,7,4,2,3,6,5]=>([(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,3,2,4,1,7,6]=>[1,7,2,4,3,5,6]=>[1,7,4,2,3,5,6]=>([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,3,2,4,6,1,7]=>[1,7,2,4,6,3,5]=>[1,7,6,2,3,4,5]=>([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,3,2,4,6,7,1]=>[1,2,4,6,7,3,5]=>[1,2,7,4,3,6,5]=>([(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7)
[5,3,2,4,7,1,6]=>[1,6,2,4,7,3,5]=>[1,6,7,2,3,4,5]=>([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[5,3,2,4,7,6,1]=>[1,2,4,7,3,5,6]=>[1,2,7,4,3,5,6]=>([(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[5,3,2,6,1,4,7]=>[1,4,7,2,6,3,5]=>[1,7,6,4,3,2,5]=>([(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,3,2,6,1,7,4]=>[1,7,2,6,3,4,5]=>[1,7,6,3,4,2,5]=>([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,3,2,6,4,1,7]=>[1,7,2,6,3,4,5]=>[1,7,6,3,4,2,5]=>([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,3,2,6,4,7,1]=>[1,2,6,3,4,7,5]=>[1,2,6,3,7,4,5]=>([(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[5,3,2,6,7,1,4]=>[1,4,2,6,7,3,5]=>[1,4,7,2,3,6,5]=>([(1,4),(1,5),(2,3),(2,6),(3,6),(4,6),(5,6)],7)
[5,3,2,6,7,4,1]=>[1,2,6,7,3,4,5]=>[1,2,7,3,4,6,5]=>([(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[5,3,2,7,1,4,6]=>[1,4,6,2,7,3,5]=>[1,6,7,4,3,2,5]=>([(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[5,3,2,7,1,6,4]=>[1,6,2,7,3,4,5]=>[1,6,7,3,4,2,5]=>([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[5,3,2,7,4,1,6]=>[1,6,2,7,3,4,5]=>[1,6,7,3,4,2,5]=>([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[5,3,2,7,4,6,1]=>[1,2,7,3,4,6,5]=>[1,2,7,3,6,4,5]=>([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,3,2,7,6,1,4]=>[1,4,2,7,3,5,6]=>[1,4,7,2,3,5,6]=>([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[5,3,2,7,6,4,1]=>[1,2,7,3,4,5,6]=>[1,2,7,3,4,5,6]=>([(2,6),(3,6),(4,6),(5,6)],7)
[5,3,4,1,2,6,7]=>[1,2,6,7,3,4,5]=>[1,2,7,3,4,6,5]=>([(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[5,3,4,1,2,7,6]=>[1,2,7,3,4,5,6]=>[1,2,7,3,4,5,6]=>([(2,6),(3,6),(4,6),(5,6)],7)
[5,3,4,1,6,2,7]=>[1,6,2,7,3,4,5]=>[1,6,7,3,4,2,5]=>([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[5,3,4,1,6,7,2]=>[1,6,7,2,3,4,5]=>[1,7,2,3,4,6,5]=>([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[5,3,4,1,7,2,6]=>[1,7,2,6,3,4,5]=>[1,7,6,3,4,2,5]=>([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,3,4,1,7,6,2]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[5,3,4,2,1,6,7]=>[1,6,7,2,3,4,5]=>[1,7,2,3,4,6,5]=>([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[5,3,4,2,1,7,6]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[5,3,4,2,6,1,7]=>[1,7,2,6,3,4,5]=>[1,7,6,3,4,2,5]=>([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,3,4,2,6,7,1]=>[1,2,6,7,3,4,5]=>[1,2,7,3,4,6,5]=>([(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[5,3,4,2,7,1,6]=>[1,6,2,7,3,4,5]=>[1,6,7,3,4,2,5]=>([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[5,3,4,2,7,6,1]=>[1,2,7,3,4,5,6]=>[1,2,7,3,4,5,6]=>([(2,6),(3,6),(4,6),(5,6)],7)
[5,3,4,6,1,2,7]=>[1,2,7,3,4,6,5]=>[1,2,7,3,6,4,5]=>([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,3,4,6,1,7,2]=>[1,7,2,3,4,6,5]=>[1,7,2,3,6,4,5]=>([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,3,4,6,2,1,7]=>[1,7,2,3,4,6,5]=>[1,7,2,3,6,4,5]=>([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,3,4,6,2,7,1]=>[1,2,7,3,4,6,5]=>[1,2,7,3,6,4,5]=>([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,3,4,6,7,1,2]=>[1,2,3,4,6,7,5]=>[1,2,3,4,7,6,5]=>([(4,5),(4,6),(5,6)],7)
[5,3,4,6,7,2,1]=>[1,2,3,4,6,7,5]=>[1,2,3,4,7,6,5]=>([(4,5),(4,6),(5,6)],7)
[5,3,4,7,1,2,6]=>[1,2,6,3,4,7,5]=>[1,2,6,3,7,4,5]=>([(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[5,3,4,7,1,6,2]=>[1,6,2,3,4,7,5]=>[1,6,2,3,7,4,5]=>([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[5,3,4,7,2,1,6]=>[1,6,2,3,4,7,5]=>[1,6,2,3,7,4,5]=>([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[5,3,4,7,2,6,1]=>[1,2,6,3,4,7,5]=>[1,2,6,3,7,4,5]=>([(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[5,3,4,7,6,1,2]=>[1,2,3,4,7,5,6]=>[1,2,3,4,7,5,6]=>([(4,6),(5,6)],7)
[5,3,4,7,6,2,1]=>[1,2,3,4,7,5,6]=>[1,2,3,4,7,5,6]=>([(4,6),(5,6)],7)
[5,3,6,1,2,4,7]=>[1,2,4,7,3,6,5]=>[1,2,7,4,6,3,5]=>([(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[5,3,6,1,2,7,4]=>[1,2,7,3,6,4,5]=>[1,2,7,6,4,3,5]=>([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,3,6,1,4,2,7]=>[1,4,2,7,3,6,5]=>[1,4,7,2,6,3,5]=>([(1,2),(1,6),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,3,6,1,4,7,2]=>[1,4,7,2,3,6,5]=>[1,7,2,4,6,3,5]=>([(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[5,3,6,1,7,2,4]=>[1,7,2,4,3,6,5]=>[1,7,4,2,6,3,5]=>([(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[5,3,6,1,7,4,2]=>[1,7,2,3,6,4,5]=>[1,7,2,6,4,3,5]=>([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,3,6,2,1,4,7]=>[1,4,7,2,3,6,5]=>[1,7,2,4,6,3,5]=>([(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[5,3,6,2,1,7,4]=>[1,7,2,3,6,4,5]=>[1,7,2,6,4,3,5]=>([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,3,6,2,4,1,7]=>[1,7,2,4,3,6,5]=>[1,7,4,2,6,3,5]=>([(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[5,3,6,2,4,7,1]=>[1,2,4,7,3,6,5]=>[1,2,7,4,6,3,5]=>([(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[5,3,6,2,7,1,4]=>[1,4,2,7,3,6,5]=>[1,4,7,2,6,3,5]=>([(1,2),(1,6),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,3,6,2,7,4,1]=>[1,2,7,3,6,4,5]=>[1,2,7,6,4,3,5]=>([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,3,6,4,1,2,7]=>[1,2,7,3,6,4,5]=>[1,2,7,6,4,3,5]=>([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,3,6,4,1,7,2]=>[1,7,2,3,6,4,5]=>[1,7,2,6,4,3,5]=>([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,3,6,4,2,1,7]=>[1,7,2,3,6,4,5]=>[1,7,2,6,4,3,5]=>([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,3,6,4,2,7,1]=>[1,2,7,3,6,4,5]=>[1,2,7,6,4,3,5]=>([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,3,6,4,7,1,2]=>[1,2,3,6,4,7,5]=>[1,2,3,6,7,4,5]=>([(3,5),(3,6),(4,5),(4,6)],7)
[5,3,6,4,7,2,1]=>[1,2,3,6,4,7,5]=>[1,2,3,6,7,4,5]=>([(3,5),(3,6),(4,5),(4,6)],7)
[5,3,6,7,1,2,4]=>[1,2,4,3,6,7,5]=>[1,2,4,3,7,6,5]=>([(2,3),(4,5),(4,6),(5,6)],7)
[5,3,6,7,1,4,2]=>[1,4,2,3,6,7,5]=>[1,4,2,3,7,6,5]=>([(1,6),(2,6),(3,4),(3,5),(4,5)],7)
[5,3,6,7,2,1,4]=>[1,4,2,3,6,7,5]=>[1,4,2,3,7,6,5]=>([(1,6),(2,6),(3,4),(3,5),(4,5)],7)
[5,3,6,7,2,4,1]=>[1,2,4,3,6,7,5]=>[1,2,4,3,7,6,5]=>([(2,3),(4,5),(4,6),(5,6)],7)
[5,3,6,7,4,1,2]=>[1,2,3,6,7,4,5]=>[1,2,3,7,4,6,5]=>([(3,6),(4,5),(4,6),(5,6)],7)
[5,3,6,7,4,2,1]=>[1,2,3,6,7,4,5]=>[1,2,3,7,4,6,5]=>([(3,6),(4,5),(4,6),(5,6)],7)
[5,3,7,1,2,4,6]=>[1,2,4,6,3,7,5]=>[1,2,6,4,7,3,5]=>([(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7)
[5,3,7,1,2,6,4]=>[1,2,6,3,7,4,5]=>[1,2,6,7,4,3,5]=>([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[5,3,7,1,4,2,6]=>[1,4,2,6,3,7,5]=>[1,4,6,2,7,3,5]=>([(1,4),(1,6),(2,3),(2,6),(3,5),(4,5),(5,6)],7)
[5,3,7,1,4,6,2]=>[1,4,6,2,3,7,5]=>[1,6,2,4,7,3,5]=>([(1,6),(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7)
[5,3,7,1,6,2,4]=>[1,6,2,4,3,7,5]=>[1,6,4,2,7,3,5]=>([(1,2),(1,6),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,3,7,1,6,4,2]=>[1,6,2,3,7,4,5]=>[1,6,2,7,4,3,5]=>([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[5,3,7,2,1,4,6]=>[1,4,6,2,3,7,5]=>[1,6,2,4,7,3,5]=>([(1,6),(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7)
[5,3,7,2,1,6,4]=>[1,6,2,3,7,4,5]=>[1,6,2,7,4,3,5]=>([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[5,3,7,2,4,1,6]=>[1,6,2,4,3,7,5]=>[1,6,4,2,7,3,5]=>([(1,2),(1,6),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,3,7,2,4,6,1]=>[1,2,4,6,3,7,5]=>[1,2,6,4,7,3,5]=>([(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7)
[5,3,7,2,6,1,4]=>[1,4,2,6,3,7,5]=>[1,4,6,2,7,3,5]=>([(1,4),(1,6),(2,3),(2,6),(3,5),(4,5),(5,6)],7)
[5,3,7,2,6,4,1]=>[1,2,6,3,7,4,5]=>[1,2,6,7,4,3,5]=>([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[5,3,7,4,1,2,6]=>[1,2,6,3,7,4,5]=>[1,2,6,7,4,3,5]=>([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[5,3,7,4,1,6,2]=>[1,6,2,3,7,4,5]=>[1,6,2,7,4,3,5]=>([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[5,3,7,4,2,1,6]=>[1,6,2,3,7,4,5]=>[1,6,2,7,4,3,5]=>([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[5,3,7,4,2,6,1]=>[1,2,6,3,7,4,5]=>[1,2,6,7,4,3,5]=>([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[5,3,7,4,6,1,2]=>[1,2,3,7,4,6,5]=>[1,2,3,7,6,4,5]=>([(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,3,7,4,6,2,1]=>[1,2,3,7,4,6,5]=>[1,2,3,7,6,4,5]=>([(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,3,7,6,1,2,4]=>[1,2,4,3,7,5,6]=>[1,2,4,3,7,5,6]=>([(2,3),(4,6),(5,6)],7)
[5,3,7,6,1,4,2]=>[1,4,2,3,7,5,6]=>[1,4,2,3,7,5,6]=>([(1,6),(2,6),(3,5),(4,5)],7)
[5,3,7,6,2,1,4]=>[1,4,2,3,7,5,6]=>[1,4,2,3,7,5,6]=>([(1,6),(2,6),(3,5),(4,5)],7)
[5,3,7,6,2,4,1]=>[1,2,4,3,7,5,6]=>[1,2,4,3,7,5,6]=>([(2,3),(4,6),(5,6)],7)
[5,3,7,6,4,1,2]=>[1,2,3,7,4,5,6]=>[1,2,3,7,4,5,6]=>([(3,6),(4,6),(5,6)],7)
[5,3,7,6,4,2,1]=>[1,2,3,7,4,5,6]=>[1,2,3,7,4,5,6]=>([(3,6),(4,6),(5,6)],7)
[5,4,1,2,3,6,7]=>[1,2,3,6,7,4,5]=>[1,2,3,7,4,6,5]=>([(3,6),(4,5),(4,6),(5,6)],7)
[5,4,1,2,3,7,6]=>[1,2,3,7,4,5,6]=>[1,2,3,7,4,5,6]=>([(3,6),(4,6),(5,6)],7)
[5,4,1,2,6,3,7]=>[1,2,6,3,7,4,5]=>[1,2,6,7,4,3,5]=>([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[5,4,1,2,6,7,3]=>[1,2,6,7,3,4,5]=>[1,2,7,3,4,6,5]=>([(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[5,4,1,2,7,3,6]=>[1,2,7,3,6,4,5]=>[1,2,7,6,4,3,5]=>([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,4,1,2,7,6,3]=>[1,2,7,3,4,5,6]=>[1,2,7,3,4,5,6]=>([(2,6),(3,6),(4,6),(5,6)],7)
[5,4,1,3,2,6,7]=>[1,3,2,6,7,4,5]=>[1,3,2,7,4,6,5]=>([(1,2),(3,6),(4,5),(4,6),(5,6)],7)
[5,4,1,3,2,7,6]=>[1,3,2,7,4,5,6]=>[1,3,2,7,4,5,6]=>([(1,2),(3,6),(4,6),(5,6)],7)
[5,4,1,3,6,2,7]=>[1,3,6,2,7,4,5]=>[1,6,3,7,4,2,5]=>([(1,5),(1,6),(2,3),(2,5),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[5,4,1,3,6,7,2]=>[1,3,6,7,2,4,5]=>[1,7,3,2,4,6,5]=>([(1,6),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7)
[5,4,1,3,7,2,6]=>[1,3,7,2,6,4,5]=>[1,7,3,6,4,2,5]=>([(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,4,1,3,7,6,2]=>[1,3,7,2,4,5,6]=>[1,7,3,2,4,5,6]=>([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[5,4,1,6,2,3,7]=>[1,6,2,3,7,4,5]=>[1,6,2,7,4,3,5]=>([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[5,4,1,6,2,7,3]=>[1,6,2,7,3,4,5]=>[1,6,7,3,4,2,5]=>([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[5,4,1,6,3,2,7]=>[1,6,2,7,3,4,5]=>[1,6,7,3,4,2,5]=>([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[5,4,1,6,3,7,2]=>[1,6,2,3,7,4,5]=>[1,6,2,7,4,3,5]=>([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[5,4,1,6,7,2,3]=>[1,6,7,2,3,4,5]=>[1,7,2,3,4,6,5]=>([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[5,4,1,6,7,3,2]=>[1,6,7,2,3,4,5]=>[1,7,2,3,4,6,5]=>([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[5,4,1,7,2,3,6]=>[1,7,2,3,6,4,5]=>[1,7,2,6,4,3,5]=>([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,4,1,7,2,6,3]=>[1,7,2,6,3,4,5]=>[1,7,6,3,4,2,5]=>([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,4,1,7,3,2,6]=>[1,7,2,6,3,4,5]=>[1,7,6,3,4,2,5]=>([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,4,1,7,3,6,2]=>[1,7,2,3,6,4,5]=>[1,7,2,6,4,3,5]=>([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,4,1,7,6,2,3]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[5,4,1,7,6,3,2]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[5,4,2,1,3,6,7]=>[1,3,6,7,2,4,5]=>[1,7,3,2,4,6,5]=>([(1,6),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7)
[5,4,2,1,3,7,6]=>[1,3,7,2,4,5,6]=>[1,7,3,2,4,5,6]=>([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[5,4,2,1,6,3,7]=>[1,6,2,3,7,4,5]=>[1,6,2,7,4,3,5]=>([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[5,4,2,1,6,7,3]=>[1,6,7,2,3,4,5]=>[1,7,2,3,4,6,5]=>([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[5,4,2,1,7,3,6]=>[1,7,2,3,6,4,5]=>[1,7,2,6,4,3,5]=>([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,4,2,1,7,6,3]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[5,4,2,3,1,6,7]=>[1,6,7,2,3,4,5]=>[1,7,2,3,4,6,5]=>([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[5,4,2,3,1,7,6]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[5,4,2,3,6,1,7]=>[1,7,2,3,6,4,5]=>[1,7,2,6,4,3,5]=>([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,4,2,3,6,7,1]=>[1,2,3,6,7,4,5]=>[1,2,3,7,4,6,5]=>([(3,6),(4,5),(4,6),(5,6)],7)
[5,4,2,3,7,1,6]=>[1,6,2,3,7,4,5]=>[1,6,2,7,4,3,5]=>([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[5,4,2,3,7,6,1]=>[1,2,3,7,4,5,6]=>[1,2,3,7,4,5,6]=>([(3,6),(4,6),(5,6)],7)
[5,4,2,6,1,3,7]=>[1,3,7,2,6,4,5]=>[1,7,3,6,4,2,5]=>([(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,4,2,6,1,7,3]=>[1,7,2,6,3,4,5]=>[1,7,6,3,4,2,5]=>([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,4,2,6,3,1,7]=>[1,7,2,6,3,4,5]=>[1,7,6,3,4,2,5]=>([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,4,2,6,3,7,1]=>[1,2,6,3,7,4,5]=>[1,2,6,7,4,3,5]=>([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[5,4,2,6,7,1,3]=>[1,3,2,6,7,4,5]=>[1,3,2,7,4,6,5]=>([(1,2),(3,6),(4,5),(4,6),(5,6)],7)
[5,4,2,6,7,3,1]=>[1,2,6,7,3,4,5]=>[1,2,7,3,4,6,5]=>([(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[5,4,2,7,1,3,6]=>[1,3,6,2,7,4,5]=>[1,6,3,7,4,2,5]=>([(1,5),(1,6),(2,3),(2,5),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[5,4,2,7,1,6,3]=>[1,6,2,7,3,4,5]=>[1,6,7,3,4,2,5]=>([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[5,4,2,7,3,1,6]=>[1,6,2,7,3,4,5]=>[1,6,7,3,4,2,5]=>([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[5,4,2,7,3,6,1]=>[1,2,7,3,6,4,5]=>[1,2,7,6,4,3,5]=>([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,4,2,7,6,1,3]=>[1,3,2,7,4,5,6]=>[1,3,2,7,4,5,6]=>([(1,2),(3,6),(4,6),(5,6)],7)
[5,4,2,7,6,3,1]=>[1,2,7,3,4,5,6]=>[1,2,7,3,4,5,6]=>([(2,6),(3,6),(4,6),(5,6)],7)
[5,4,3,1,2,6,7]=>[1,2,6,7,3,4,5]=>[1,2,7,3,4,6,5]=>([(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[5,4,3,1,2,7,6]=>[1,2,7,3,4,5,6]=>[1,2,7,3,4,5,6]=>([(2,6),(3,6),(4,6),(5,6)],7)
[5,4,3,1,6,2,7]=>[1,6,2,7,3,4,5]=>[1,6,7,3,4,2,5]=>([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[5,4,3,1,6,7,2]=>[1,6,7,2,3,4,5]=>[1,7,2,3,4,6,5]=>([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[5,4,3,1,7,2,6]=>[1,7,2,6,3,4,5]=>[1,7,6,3,4,2,5]=>([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,4,3,1,7,6,2]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[5,4,3,2,1,6,7]=>[1,6,7,2,3,4,5]=>[1,7,2,3,4,6,5]=>([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[5,4,3,2,1,7,6]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[5,4,3,2,6,1,7]=>[1,7,2,6,3,4,5]=>[1,7,6,3,4,2,5]=>([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,4,3,2,6,7,1]=>[1,2,6,7,3,4,5]=>[1,2,7,3,4,6,5]=>([(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[5,4,3,2,7,1,6]=>[1,6,2,7,3,4,5]=>[1,6,7,3,4,2,5]=>([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[5,4,3,2,7,6,1]=>[1,2,7,3,4,5,6]=>[1,2,7,3,4,5,6]=>([(2,6),(3,6),(4,6),(5,6)],7)
[5,4,3,6,1,2,7]=>[1,2,7,3,6,4,5]=>[1,2,7,6,4,3,5]=>([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,4,3,6,1,7,2]=>[1,7,2,3,6,4,5]=>[1,7,2,6,4,3,5]=>([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,4,3,6,2,1,7]=>[1,7,2,3,6,4,5]=>[1,7,2,6,4,3,5]=>([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,4,3,6,2,7,1]=>[1,2,7,3,6,4,5]=>[1,2,7,6,4,3,5]=>([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,4,3,6,7,1,2]=>[1,2,3,6,7,4,5]=>[1,2,3,7,4,6,5]=>([(3,6),(4,5),(4,6),(5,6)],7)
[5,4,3,6,7,2,1]=>[1,2,3,6,7,4,5]=>[1,2,3,7,4,6,5]=>([(3,6),(4,5),(4,6),(5,6)],7)
[5,4,3,7,1,2,6]=>[1,2,6,3,7,4,5]=>[1,2,6,7,4,3,5]=>([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[5,4,3,7,1,6,2]=>[1,6,2,3,7,4,5]=>[1,6,2,7,4,3,5]=>([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[5,4,3,7,2,1,6]=>[1,6,2,3,7,4,5]=>[1,6,2,7,4,3,5]=>([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[5,4,3,7,2,6,1]=>[1,2,6,3,7,4,5]=>[1,2,6,7,4,3,5]=>([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[5,4,3,7,6,1,2]=>[1,2,3,7,4,5,6]=>[1,2,3,7,4,5,6]=>([(3,6),(4,6),(5,6)],7)
[5,4,3,7,6,2,1]=>[1,2,3,7,4,5,6]=>[1,2,3,7,4,5,6]=>([(3,6),(4,6),(5,6)],7)
[5,4,6,1,2,3,7]=>[1,2,3,7,4,6,5]=>[1,2,3,7,6,4,5]=>([(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,4,6,1,2,7,3]=>[1,2,7,3,4,6,5]=>[1,2,7,3,6,4,5]=>([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,4,6,1,3,2,7]=>[1,3,2,7,4,6,5]=>[1,3,2,7,6,4,5]=>([(1,2),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,4,6,1,3,7,2]=>[1,3,7,2,4,6,5]=>[1,7,3,2,6,4,5]=>([(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,4,6,1,7,2,3]=>[1,7,2,3,4,6,5]=>[1,7,2,3,6,4,5]=>([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,4,6,1,7,3,2]=>[1,7,2,3,4,6,5]=>[1,7,2,3,6,4,5]=>([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,4,6,2,1,3,7]=>[1,3,7,2,4,6,5]=>[1,7,3,2,6,4,5]=>([(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,4,6,2,1,7,3]=>[1,7,2,3,4,6,5]=>[1,7,2,3,6,4,5]=>([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,4,6,2,3,1,7]=>[1,7,2,3,4,6,5]=>[1,7,2,3,6,4,5]=>([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,4,6,2,3,7,1]=>[1,2,3,7,4,6,5]=>[1,2,3,7,6,4,5]=>([(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,4,6,2,7,1,3]=>[1,3,2,7,4,6,5]=>[1,3,2,7,6,4,5]=>([(1,2),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,4,6,2,7,3,1]=>[1,2,7,3,4,6,5]=>[1,2,7,3,6,4,5]=>([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,4,6,3,1,2,7]=>[1,2,7,3,4,6,5]=>[1,2,7,3,6,4,5]=>([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,4,6,3,1,7,2]=>[1,7,2,3,4,6,5]=>[1,7,2,3,6,4,5]=>([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,4,6,3,2,1,7]=>[1,7,2,3,4,6,5]=>[1,7,2,3,6,4,5]=>([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,4,6,3,2,7,1]=>[1,2,7,3,4,6,5]=>[1,2,7,3,6,4,5]=>([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,4,6,3,7,1,2]=>[1,2,3,7,4,6,5]=>[1,2,3,7,6,4,5]=>([(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,4,6,3,7,2,1]=>[1,2,3,7,4,6,5]=>[1,2,3,7,6,4,5]=>([(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,4,6,7,1,2,3]=>[1,2,3,4,6,7,5]=>[1,2,3,4,7,6,5]=>([(4,5),(4,6),(5,6)],7)
[5,4,6,7,1,3,2]=>[1,3,2,4,6,7,5]=>[1,3,2,4,7,6,5]=>([(2,3),(4,5),(4,6),(5,6)],7)
[5,4,6,7,2,1,3]=>[1,3,2,4,6,7,5]=>[1,3,2,4,7,6,5]=>([(2,3),(4,5),(4,6),(5,6)],7)
[5,4,6,7,2,3,1]=>[1,2,3,4,6,7,5]=>[1,2,3,4,7,6,5]=>([(4,5),(4,6),(5,6)],7)
[5,4,6,7,3,1,2]=>[1,2,3,4,6,7,5]=>[1,2,3,4,7,6,5]=>([(4,5),(4,6),(5,6)],7)
[5,4,6,7,3,2,1]=>[1,2,3,4,6,7,5]=>[1,2,3,4,7,6,5]=>([(4,5),(4,6),(5,6)],7)
[5,4,7,1,2,3,6]=>[1,2,3,6,4,7,5]=>[1,2,3,6,7,4,5]=>([(3,5),(3,6),(4,5),(4,6)],7)
[5,4,7,1,2,6,3]=>[1,2,6,3,4,7,5]=>[1,2,6,3,7,4,5]=>([(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[5,4,7,1,3,2,6]=>[1,3,2,6,4,7,5]=>[1,3,2,6,7,4,5]=>([(1,2),(3,5),(3,6),(4,5),(4,6)],7)
[5,4,7,1,3,6,2]=>[1,3,6,2,4,7,5]=>[1,6,3,2,7,4,5]=>([(1,4),(1,5),(2,3),(2,6),(3,6),(4,6),(5,6)],7)
[5,4,7,1,6,2,3]=>[1,6,2,3,4,7,5]=>[1,6,2,3,7,4,5]=>([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[5,4,7,1,6,3,2]=>[1,6,2,3,4,7,5]=>[1,6,2,3,7,4,5]=>([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[5,4,7,2,1,3,6]=>[1,3,6,2,4,7,5]=>[1,6,3,2,7,4,5]=>([(1,4),(1,5),(2,3),(2,6),(3,6),(4,6),(5,6)],7)
[5,4,7,2,1,6,3]=>[1,6,2,3,4,7,5]=>[1,6,2,3,7,4,5]=>([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[5,4,7,2,3,1,6]=>[1,6,2,3,4,7,5]=>[1,6,2,3,7,4,5]=>([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[5,4,7,2,3,6,1]=>[1,2,3,6,4,7,5]=>[1,2,3,6,7,4,5]=>([(3,5),(3,6),(4,5),(4,6)],7)
[5,4,7,2,6,1,3]=>[1,3,2,6,4,7,5]=>[1,3,2,6,7,4,5]=>([(1,2),(3,5),(3,6),(4,5),(4,6)],7)
[5,4,7,2,6,3,1]=>[1,2,6,3,4,7,5]=>[1,2,6,3,7,4,5]=>([(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[5,4,7,3,1,2,6]=>[1,2,6,3,4,7,5]=>[1,2,6,3,7,4,5]=>([(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[5,4,7,3,1,6,2]=>[1,6,2,3,4,7,5]=>[1,6,2,3,7,4,5]=>([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[5,4,7,3,2,1,6]=>[1,6,2,3,4,7,5]=>[1,6,2,3,7,4,5]=>([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[5,4,7,3,2,6,1]=>[1,2,6,3,4,7,5]=>[1,2,6,3,7,4,5]=>([(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[5,4,7,3,6,1,2]=>[1,2,3,6,4,7,5]=>[1,2,3,6,7,4,5]=>([(3,5),(3,6),(4,5),(4,6)],7)
[5,4,7,3,6,2,1]=>[1,2,3,6,4,7,5]=>[1,2,3,6,7,4,5]=>([(3,5),(3,6),(4,5),(4,6)],7)
[5,4,7,6,1,2,3]=>[1,2,3,4,7,5,6]=>[1,2,3,4,7,5,6]=>([(4,6),(5,6)],7)
[5,4,7,6,1,3,2]=>[1,3,2,4,7,5,6]=>[1,3,2,4,7,5,6]=>([(2,3),(4,6),(5,6)],7)
[5,4,7,6,2,1,3]=>[1,3,2,4,7,5,6]=>[1,3,2,4,7,5,6]=>([(2,3),(4,6),(5,6)],7)
[5,4,7,6,2,3,1]=>[1,2,3,4,7,5,6]=>[1,2,3,4,7,5,6]=>([(4,6),(5,6)],7)
[5,4,7,6,3,1,2]=>[1,2,3,4,7,5,6]=>[1,2,3,4,7,5,6]=>([(4,6),(5,6)],7)
[5,4,7,6,3,2,1]=>[1,2,3,4,7,5,6]=>[1,2,3,4,7,5,6]=>([(4,6),(5,6)],7)
[5,6,1,2,3,4,7]=>[1,2,3,4,7,5,6]=>[1,2,3,4,7,5,6]=>([(4,6),(5,6)],7)
[5,6,1,2,3,7,4]=>[1,2,3,7,4,5,6]=>[1,2,3,7,4,5,6]=>([(3,6),(4,6),(5,6)],7)
[5,6,1,2,4,3,7]=>[1,2,4,3,7,5,6]=>[1,2,4,3,7,5,6]=>([(2,3),(4,6),(5,6)],7)
[5,6,1,2,4,7,3]=>[1,2,4,7,3,5,6]=>[1,2,7,4,3,5,6]=>([(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[5,6,1,2,7,3,4]=>[1,2,7,3,4,5,6]=>[1,2,7,3,4,5,6]=>([(2,6),(3,6),(4,6),(5,6)],7)
[5,6,1,2,7,4,3]=>[1,2,7,3,4,5,6]=>[1,2,7,3,4,5,6]=>([(2,6),(3,6),(4,6),(5,6)],7)
[5,6,1,3,2,4,7]=>[1,3,2,4,7,5,6]=>[1,3,2,4,7,5,6]=>([(2,3),(4,6),(5,6)],7)
[5,6,1,3,2,7,4]=>[1,3,2,7,4,5,6]=>[1,3,2,7,4,5,6]=>([(1,2),(3,6),(4,6),(5,6)],7)
[5,6,1,3,4,2,7]=>[1,3,4,2,7,5,6]=>[1,4,3,2,7,5,6]=>([(1,6),(2,6),(3,4),(3,5),(4,5)],7)
[5,6,1,3,4,7,2]=>[1,3,4,7,2,5,6]=>[1,7,3,4,2,5,6]=>([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,6,1,3,7,2,4]=>[1,3,7,2,4,5,6]=>[1,7,3,2,4,5,6]=>([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[5,6,1,3,7,4,2]=>[1,3,7,2,4,5,6]=>[1,7,3,2,4,5,6]=>([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[5,6,1,4,2,3,7]=>[1,4,2,3,7,5,6]=>[1,4,2,3,7,5,6]=>([(1,6),(2,6),(3,5),(4,5)],7)
[5,6,1,4,2,7,3]=>[1,4,2,7,3,5,6]=>[1,4,7,2,3,5,6]=>([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[5,6,1,4,3,2,7]=>[1,4,2,7,3,5,6]=>[1,4,7,2,3,5,6]=>([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[5,6,1,4,3,7,2]=>[1,4,2,3,7,5,6]=>[1,4,2,3,7,5,6]=>([(1,6),(2,6),(3,5),(4,5)],7)
[5,6,1,4,7,2,3]=>[1,4,7,2,3,5,6]=>[1,7,2,4,3,5,6]=>([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[5,6,1,4,7,3,2]=>[1,4,7,2,3,5,6]=>[1,7,2,4,3,5,6]=>([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[5,6,1,7,2,3,4]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[5,6,1,7,2,4,3]=>[1,7,2,4,3,5,6]=>[1,7,4,2,3,5,6]=>([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,6,1,7,3,2,4]=>[1,7,2,4,3,5,6]=>[1,7,4,2,3,5,6]=>([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,6,1,7,3,4,2]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[5,6,1,7,4,2,3]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[5,6,1,7,4,3,2]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[5,6,2,1,3,4,7]=>[1,3,4,7,2,5,6]=>[1,7,3,4,2,5,6]=>([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,6,2,1,3,7,4]=>[1,3,7,2,4,5,6]=>[1,7,3,2,4,5,6]=>([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[5,6,2,1,4,3,7]=>[1,4,2,3,7,5,6]=>[1,4,2,3,7,5,6]=>([(1,6),(2,6),(3,5),(4,5)],7)
[5,6,2,1,4,7,3]=>[1,4,7,2,3,5,6]=>[1,7,2,4,3,5,6]=>([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[5,6,2,1,7,3,4]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[5,6,2,1,7,4,3]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[5,6,2,3,1,4,7]=>[1,4,7,2,3,5,6]=>[1,7,2,4,3,5,6]=>([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[5,6,2,3,1,7,4]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[5,6,2,3,4,1,7]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[5,6,2,3,4,7,1]=>[1,2,3,4,7,5,6]=>[1,2,3,4,7,5,6]=>([(4,6),(5,6)],7)
[5,6,2,3,7,1,4]=>[1,4,2,3,7,5,6]=>[1,4,2,3,7,5,6]=>([(1,6),(2,6),(3,5),(4,5)],7)
[5,6,2,3,7,4,1]=>[1,2,3,7,4,5,6]=>[1,2,3,7,4,5,6]=>([(3,6),(4,6),(5,6)],7)
[5,6,2,4,1,3,7]=>[1,3,7,2,4,5,6]=>[1,7,3,2,4,5,6]=>([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[5,6,2,4,1,7,3]=>[1,7,2,4,3,5,6]=>[1,7,4,2,3,5,6]=>([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,6,2,4,3,1,7]=>[1,7,2,4,3,5,6]=>[1,7,4,2,3,5,6]=>([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,6,2,4,3,7,1]=>[1,2,4,3,7,5,6]=>[1,2,4,3,7,5,6]=>([(2,3),(4,6),(5,6)],7)
[5,6,2,4,7,1,3]=>[1,3,2,4,7,5,6]=>[1,3,2,4,7,5,6]=>([(2,3),(4,6),(5,6)],7)
[5,6,2,4,7,3,1]=>[1,2,4,7,3,5,6]=>[1,2,7,4,3,5,6]=>([(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[5,6,2,7,1,3,4]=>[1,3,4,2,7,5,6]=>[1,4,3,2,7,5,6]=>([(1,6),(2,6),(3,4),(3,5),(4,5)],7)
[5,6,2,7,1,4,3]=>[1,4,2,7,3,5,6]=>[1,4,7,2,3,5,6]=>([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[5,6,2,7,3,1,4]=>[1,4,2,7,3,5,6]=>[1,4,7,2,3,5,6]=>([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[5,6,2,7,3,4,1]=>[1,2,7,3,4,5,6]=>[1,2,7,3,4,5,6]=>([(2,6),(3,6),(4,6),(5,6)],7)
[5,6,2,7,4,1,3]=>[1,3,2,7,4,5,6]=>[1,3,2,7,4,5,6]=>([(1,2),(3,6),(4,6),(5,6)],7)
[5,6,2,7,4,3,1]=>[1,2,7,3,4,5,6]=>[1,2,7,3,4,5,6]=>([(2,6),(3,6),(4,6),(5,6)],7)
[5,6,3,1,2,4,7]=>[1,2,4,7,3,5,6]=>[1,2,7,4,3,5,6]=>([(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[5,6,3,1,2,7,4]=>[1,2,7,3,4,5,6]=>[1,2,7,3,4,5,6]=>([(2,6),(3,6),(4,6),(5,6)],7)
[5,6,3,1,4,2,7]=>[1,4,2,7,3,5,6]=>[1,4,7,2,3,5,6]=>([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[5,6,3,1,4,7,2]=>[1,4,7,2,3,5,6]=>[1,7,2,4,3,5,6]=>([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[5,6,3,1,7,2,4]=>[1,7,2,4,3,5,6]=>[1,7,4,2,3,5,6]=>([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,6,3,1,7,4,2]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[5,6,3,2,1,4,7]=>[1,4,7,2,3,5,6]=>[1,7,2,4,3,5,6]=>([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[5,6,3,2,1,7,4]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[5,6,3,2,4,1,7]=>[1,7,2,4,3,5,6]=>[1,7,4,2,3,5,6]=>([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,6,3,2,4,7,1]=>[1,2,4,7,3,5,6]=>[1,2,7,4,3,5,6]=>([(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[5,6,3,2,7,1,4]=>[1,4,2,7,3,5,6]=>[1,4,7,2,3,5,6]=>([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[5,6,3,2,7,4,1]=>[1,2,7,3,4,5,6]=>[1,2,7,3,4,5,6]=>([(2,6),(3,6),(4,6),(5,6)],7)
[5,6,3,4,1,2,7]=>[1,2,7,3,4,5,6]=>[1,2,7,3,4,5,6]=>([(2,6),(3,6),(4,6),(5,6)],7)
[5,6,3,4,1,7,2]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[5,6,3,4,2,1,7]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[5,6,3,4,2,7,1]=>[1,2,7,3,4,5,6]=>[1,2,7,3,4,5,6]=>([(2,6),(3,6),(4,6),(5,6)],7)
[5,6,3,4,7,1,2]=>[1,2,3,4,7,5,6]=>[1,2,3,4,7,5,6]=>([(4,6),(5,6)],7)
[5,6,3,4,7,2,1]=>[1,2,3,4,7,5,6]=>[1,2,3,4,7,5,6]=>([(4,6),(5,6)],7)
[5,6,3,7,1,2,4]=>[1,2,4,3,7,5,6]=>[1,2,4,3,7,5,6]=>([(2,3),(4,6),(5,6)],7)
[5,6,3,7,1,4,2]=>[1,4,2,3,7,5,6]=>[1,4,2,3,7,5,6]=>([(1,6),(2,6),(3,5),(4,5)],7)
[5,6,3,7,2,1,4]=>[1,4,2,3,7,5,6]=>[1,4,2,3,7,5,6]=>([(1,6),(2,6),(3,5),(4,5)],7)
[5,6,3,7,2,4,1]=>[1,2,4,3,7,5,6]=>[1,2,4,3,7,5,6]=>([(2,3),(4,6),(5,6)],7)
[5,6,3,7,4,1,2]=>[1,2,3,7,4,5,6]=>[1,2,3,7,4,5,6]=>([(3,6),(4,6),(5,6)],7)
[5,6,3,7,4,2,1]=>[1,2,3,7,4,5,6]=>[1,2,3,7,4,5,6]=>([(3,6),(4,6),(5,6)],7)
[5,6,4,1,2,3,7]=>[1,2,3,7,4,5,6]=>[1,2,3,7,4,5,6]=>([(3,6),(4,6),(5,6)],7)
[5,6,4,1,2,7,3]=>[1,2,7,3,4,5,6]=>[1,2,7,3,4,5,6]=>([(2,6),(3,6),(4,6),(5,6)],7)
[5,6,4,1,3,2,7]=>[1,3,2,7,4,5,6]=>[1,3,2,7,4,5,6]=>([(1,2),(3,6),(4,6),(5,6)],7)
[5,6,4,1,3,7,2]=>[1,3,7,2,4,5,6]=>[1,7,3,2,4,5,6]=>([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[5,6,4,1,7,2,3]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[5,6,4,1,7,3,2]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[5,6,4,2,1,3,7]=>[1,3,7,2,4,5,6]=>[1,7,3,2,4,5,6]=>([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[5,6,4,2,1,7,3]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[5,6,4,2,3,1,7]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[5,6,4,2,3,7,1]=>[1,2,3,7,4,5,6]=>[1,2,3,7,4,5,6]=>([(3,6),(4,6),(5,6)],7)
[5,6,4,2,7,1,3]=>[1,3,2,7,4,5,6]=>[1,3,2,7,4,5,6]=>([(1,2),(3,6),(4,6),(5,6)],7)
[5,6,4,2,7,3,1]=>[1,2,7,3,4,5,6]=>[1,2,7,3,4,5,6]=>([(2,6),(3,6),(4,6),(5,6)],7)
[5,6,4,3,1,2,7]=>[1,2,7,3,4,5,6]=>[1,2,7,3,4,5,6]=>([(2,6),(3,6),(4,6),(5,6)],7)
[5,6,4,3,1,7,2]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[5,6,4,3,2,1,7]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[5,6,4,3,2,7,1]=>[1,2,7,3,4,5,6]=>[1,2,7,3,4,5,6]=>([(2,6),(3,6),(4,6),(5,6)],7)
[5,6,4,3,7,1,2]=>[1,2,3,7,4,5,6]=>[1,2,3,7,4,5,6]=>([(3,6),(4,6),(5,6)],7)
[5,6,4,3,7,2,1]=>[1,2,3,7,4,5,6]=>[1,2,3,7,4,5,6]=>([(3,6),(4,6),(5,6)],7)
[5,6,4,7,1,2,3]=>[1,2,3,4,7,5,6]=>[1,2,3,4,7,5,6]=>([(4,6),(5,6)],7)
[5,6,4,7,1,3,2]=>[1,3,2,4,7,5,6]=>[1,3,2,4,7,5,6]=>([(2,3),(4,6),(5,6)],7)
[5,6,4,7,2,1,3]=>[1,3,2,4,7,5,6]=>[1,3,2,4,7,5,6]=>([(2,3),(4,6),(5,6)],7)
[5,6,4,7,2,3,1]=>[1,2,3,4,7,5,6]=>[1,2,3,4,7,5,6]=>([(4,6),(5,6)],7)
[5,6,4,7,3,1,2]=>[1,2,3,4,7,5,6]=>[1,2,3,4,7,5,6]=>([(4,6),(5,6)],7)
[5,6,4,7,3,2,1]=>[1,2,3,4,7,5,6]=>[1,2,3,4,7,5,6]=>([(4,6),(5,6)],7)
[5,6,7,1,2,3,4]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>([],7)
[5,6,7,1,2,4,3]=>[1,2,4,3,5,6,7]=>[1,2,4,3,5,6,7]=>([(5,6)],7)
[5,6,7,1,3,2,4]=>[1,3,2,4,5,6,7]=>[1,3,2,4,5,6,7]=>([(5,6)],7)
[5,6,7,1,3,4,2]=>[1,3,4,2,5,6,7]=>[1,4,3,2,5,6,7]=>([(4,5),(4,6),(5,6)],7)
[5,6,7,1,4,2,3]=>[1,4,2,3,5,6,7]=>[1,4,2,3,5,6,7]=>([(4,6),(5,6)],7)
[5,6,7,1,4,3,2]=>[1,4,2,3,5,6,7]=>[1,4,2,3,5,6,7]=>([(4,6),(5,6)],7)
[5,6,7,2,1,3,4]=>[1,3,4,2,5,6,7]=>[1,4,3,2,5,6,7]=>([(4,5),(4,6),(5,6)],7)
[5,6,7,2,1,4,3]=>[1,4,2,3,5,6,7]=>[1,4,2,3,5,6,7]=>([(4,6),(5,6)],7)
[5,6,7,2,3,1,4]=>[1,4,2,3,5,6,7]=>[1,4,2,3,5,6,7]=>([(4,6),(5,6)],7)
[5,6,7,2,3,4,1]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>([],7)
[5,6,7,2,4,1,3]=>[1,3,2,4,5,6,7]=>[1,3,2,4,5,6,7]=>([(5,6)],7)
[5,6,7,2,4,3,1]=>[1,2,4,3,5,6,7]=>[1,2,4,3,5,6,7]=>([(5,6)],7)
[5,6,7,3,1,2,4]=>[1,2,4,3,5,6,7]=>[1,2,4,3,5,6,7]=>([(5,6)],7)
[5,6,7,3,1,4,2]=>[1,4,2,3,5,6,7]=>[1,4,2,3,5,6,7]=>([(4,6),(5,6)],7)
[5,6,7,3,2,1,4]=>[1,4,2,3,5,6,7]=>[1,4,2,3,5,6,7]=>([(4,6),(5,6)],7)
[5,6,7,3,2,4,1]=>[1,2,4,3,5,6,7]=>[1,2,4,3,5,6,7]=>([(5,6)],7)
[5,6,7,3,4,1,2]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>([],7)
[5,6,7,3,4,2,1]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>([],7)
[5,6,7,4,1,2,3]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>([],7)
[5,6,7,4,1,3,2]=>[1,3,2,4,5,6,7]=>[1,3,2,4,5,6,7]=>([(5,6)],7)
[5,6,7,4,2,1,3]=>[1,3,2,4,5,6,7]=>[1,3,2,4,5,6,7]=>([(5,6)],7)
[5,6,7,4,2,3,1]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>([],7)
[5,6,7,4,3,1,2]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>([],7)
[5,6,7,4,3,2,1]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>([],7)
[5,7,1,2,3,4,6]=>[1,2,3,4,6,5,7]=>[1,2,3,4,6,5,7]=>([(5,6)],7)
[5,7,1,2,3,6,4]=>[1,2,3,6,4,5,7]=>[1,2,3,6,4,5,7]=>([(4,6),(5,6)],7)
[5,7,1,2,4,3,6]=>[1,2,4,3,6,5,7]=>[1,2,4,3,6,5,7]=>([(3,6),(4,5)],7)
[5,7,1,2,4,6,3]=>[1,2,4,6,3,5,7]=>[1,2,6,4,3,5,7]=>([(3,6),(4,5),(4,6),(5,6)],7)
[5,7,1,2,6,3,4]=>[1,2,6,3,4,5,7]=>[1,2,6,3,4,5,7]=>([(3,6),(4,6),(5,6)],7)
[5,7,1,2,6,4,3]=>[1,2,6,3,4,5,7]=>[1,2,6,3,4,5,7]=>([(3,6),(4,6),(5,6)],7)
[5,7,1,3,2,4,6]=>[1,3,2,4,6,5,7]=>[1,3,2,4,6,5,7]=>([(3,6),(4,5)],7)
[5,7,1,3,2,6,4]=>[1,3,2,6,4,5,7]=>[1,3,2,6,4,5,7]=>([(2,3),(4,6),(5,6)],7)
[5,7,1,3,4,2,6]=>[1,3,4,2,6,5,7]=>[1,4,3,2,6,5,7]=>([(2,3),(4,5),(4,6),(5,6)],7)
[5,7,1,3,4,6,2]=>[1,3,4,6,2,5,7]=>[1,6,3,4,2,5,7]=>([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,7,1,3,6,2,4]=>[1,3,6,2,4,5,7]=>[1,6,3,2,4,5,7]=>([(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[5,7,1,3,6,4,2]=>[1,3,6,2,4,5,7]=>[1,6,3,2,4,5,7]=>([(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[5,7,1,4,2,3,6]=>[1,4,2,3,6,5,7]=>[1,4,2,3,6,5,7]=>([(2,3),(4,6),(5,6)],7)
[5,7,1,4,2,6,3]=>[1,4,2,6,3,5,7]=>[1,4,6,2,3,5,7]=>([(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[5,7,1,4,3,2,6]=>[1,4,2,6,3,5,7]=>[1,4,6,2,3,5,7]=>([(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[5,7,1,4,3,6,2]=>[1,4,2,3,6,5,7]=>[1,4,2,3,6,5,7]=>([(2,3),(4,6),(5,6)],7)
[5,7,1,4,6,2,3]=>[1,4,6,2,3,5,7]=>[1,6,2,4,3,5,7]=>([(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[5,7,1,4,6,3,2]=>[1,4,6,2,3,5,7]=>[1,6,2,4,3,5,7]=>([(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[5,7,1,6,2,3,4]=>[1,6,2,3,4,5,7]=>[1,6,2,3,4,5,7]=>([(2,6),(3,6),(4,6),(5,6)],7)
[5,7,1,6,2,4,3]=>[1,6,2,4,3,5,7]=>[1,6,4,2,3,5,7]=>([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,7,1,6,3,2,4]=>[1,6,2,4,3,5,7]=>[1,6,4,2,3,5,7]=>([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,7,1,6,3,4,2]=>[1,6,2,3,4,5,7]=>[1,6,2,3,4,5,7]=>([(2,6),(3,6),(4,6),(5,6)],7)
[5,7,1,6,4,2,3]=>[1,6,2,3,4,5,7]=>[1,6,2,3,4,5,7]=>([(2,6),(3,6),(4,6),(5,6)],7)
[5,7,1,6,4,3,2]=>[1,6,2,3,4,5,7]=>[1,6,2,3,4,5,7]=>([(2,6),(3,6),(4,6),(5,6)],7)
[5,7,2,1,3,4,6]=>[1,3,4,6,2,5,7]=>[1,6,3,4,2,5,7]=>([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,7,2,1,3,6,4]=>[1,3,6,2,4,5,7]=>[1,6,3,2,4,5,7]=>([(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[5,7,2,1,4,3,6]=>[1,4,2,3,6,5,7]=>[1,4,2,3,6,5,7]=>([(2,3),(4,6),(5,6)],7)
[5,7,2,1,4,6,3]=>[1,4,6,2,3,5,7]=>[1,6,2,4,3,5,7]=>([(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[5,7,2,1,6,3,4]=>[1,6,2,3,4,5,7]=>[1,6,2,3,4,5,7]=>([(2,6),(3,6),(4,6),(5,6)],7)
[5,7,2,1,6,4,3]=>[1,6,2,3,4,5,7]=>[1,6,2,3,4,5,7]=>([(2,6),(3,6),(4,6),(5,6)],7)
[5,7,2,3,1,4,6]=>[1,4,6,2,3,5,7]=>[1,6,2,4,3,5,7]=>([(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[5,7,2,3,1,6,4]=>[1,6,2,3,4,5,7]=>[1,6,2,3,4,5,7]=>([(2,6),(3,6),(4,6),(5,6)],7)
[5,7,2,3,4,1,6]=>[1,6,2,3,4,5,7]=>[1,6,2,3,4,5,7]=>([(2,6),(3,6),(4,6),(5,6)],7)
[5,7,2,3,4,6,1]=>[1,2,3,4,6,5,7]=>[1,2,3,4,6,5,7]=>([(5,6)],7)
[5,7,2,3,6,1,4]=>[1,4,2,3,6,5,7]=>[1,4,2,3,6,5,7]=>([(2,3),(4,6),(5,6)],7)
[5,7,2,3,6,4,1]=>[1,2,3,6,4,5,7]=>[1,2,3,6,4,5,7]=>([(4,6),(5,6)],7)
[5,7,2,4,1,3,6]=>[1,3,6,2,4,5,7]=>[1,6,3,2,4,5,7]=>([(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[5,7,2,4,1,6,3]=>[1,6,2,4,3,5,7]=>[1,6,4,2,3,5,7]=>([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,7,2,4,3,1,6]=>[1,6,2,4,3,5,7]=>[1,6,4,2,3,5,7]=>([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,7,2,4,3,6,1]=>[1,2,4,3,6,5,7]=>[1,2,4,3,6,5,7]=>([(3,6),(4,5)],7)
[5,7,2,4,6,1,3]=>[1,3,2,4,6,5,7]=>[1,3,2,4,6,5,7]=>([(3,6),(4,5)],7)
[5,7,2,4,6,3,1]=>[1,2,4,6,3,5,7]=>[1,2,6,4,3,5,7]=>([(3,6),(4,5),(4,6),(5,6)],7)
[5,7,2,6,1,3,4]=>[1,3,4,2,6,5,7]=>[1,4,3,2,6,5,7]=>([(2,3),(4,5),(4,6),(5,6)],7)
[5,7,2,6,1,4,3]=>[1,4,2,6,3,5,7]=>[1,4,6,2,3,5,7]=>([(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[5,7,2,6,3,1,4]=>[1,4,2,6,3,5,7]=>[1,4,6,2,3,5,7]=>([(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[5,7,2,6,3,4,1]=>[1,2,6,3,4,5,7]=>[1,2,6,3,4,5,7]=>([(3,6),(4,6),(5,6)],7)
[5,7,2,6,4,1,3]=>[1,3,2,6,4,5,7]=>[1,3,2,6,4,5,7]=>([(2,3),(4,6),(5,6)],7)
[5,7,2,6,4,3,1]=>[1,2,6,3,4,5,7]=>[1,2,6,3,4,5,7]=>([(3,6),(4,6),(5,6)],7)
[5,7,3,1,2,4,6]=>[1,2,4,6,3,5,7]=>[1,2,6,4,3,5,7]=>([(3,6),(4,5),(4,6),(5,6)],7)
[5,7,3,1,2,6,4]=>[1,2,6,3,4,5,7]=>[1,2,6,3,4,5,7]=>([(3,6),(4,6),(5,6)],7)
[5,7,3,1,4,2,6]=>[1,4,2,6,3,5,7]=>[1,4,6,2,3,5,7]=>([(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[5,7,3,1,4,6,2]=>[1,4,6,2,3,5,7]=>[1,6,2,4,3,5,7]=>([(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[5,7,3,1,6,2,4]=>[1,6,2,4,3,5,7]=>[1,6,4,2,3,5,7]=>([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,7,3,1,6,4,2]=>[1,6,2,3,4,5,7]=>[1,6,2,3,4,5,7]=>([(2,6),(3,6),(4,6),(5,6)],7)
[5,7,3,2,1,4,6]=>[1,4,6,2,3,5,7]=>[1,6,2,4,3,5,7]=>([(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[5,7,3,2,1,6,4]=>[1,6,2,3,4,5,7]=>[1,6,2,3,4,5,7]=>([(2,6),(3,6),(4,6),(5,6)],7)
[5,7,3,2,4,1,6]=>[1,6,2,4,3,5,7]=>[1,6,4,2,3,5,7]=>([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[5,7,3,2,4,6,1]=>[1,2,4,6,3,5,7]=>[1,2,6,4,3,5,7]=>([(3,6),(4,5),(4,6),(5,6)],7)
[5,7,3,2,6,1,4]=>[1,4,2,6,3,5,7]=>[1,4,6,2,3,5,7]=>([(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[5,7,3,2,6,4,1]=>[1,2,6,3,4,5,7]=>[1,2,6,3,4,5,7]=>([(3,6),(4,6),(5,6)],7)
[5,7,3,4,1,2,6]=>[1,2,6,3,4,5,7]=>[1,2,6,3,4,5,7]=>([(3,6),(4,6),(5,6)],7)
[5,7,3,4,1,6,2]=>[1,6,2,3,4,5,7]=>[1,6,2,3,4,5,7]=>([(2,6),(3,6),(4,6),(5,6)],7)
[5,7,3,4,2,1,6]=>[1,6,2,3,4,5,7]=>[1,6,2,3,4,5,7]=>([(2,6),(3,6),(4,6),(5,6)],7)
[5,7,3,4,2,6,1]=>[1,2,6,3,4,5,7]=>[1,2,6,3,4,5,7]=>([(3,6),(4,6),(5,6)],7)
[5,7,3,4,6,1,2]=>[1,2,3,4,6,5,7]=>[1,2,3,4,6,5,7]=>([(5,6)],7)
[5,7,3,4,6,2,1]=>[1,2,3,4,6,5,7]=>[1,2,3,4,6,5,7]=>([(5,6)],7)
[5,7,3,6,1,2,4]=>[1,2,4,3,6,5,7]=>[1,2,4,3,6,5,7]=>([(3,6),(4,5)],7)
[5,7,3,6,1,4,2]=>[1,4,2,3,6,5,7]=>[1,4,2,3,6,5,7]=>([(2,3),(4,6),(5,6)],7)
[5,7,3,6,2,1,4]=>[1,4,2,3,6,5,7]=>[1,4,2,3,6,5,7]=>([(2,3),(4,6),(5,6)],7)
[5,7,3,6,2,4,1]=>[1,2,4,3,6,5,7]=>[1,2,4,3,6,5,7]=>([(3,6),(4,5)],7)
[5,7,3,6,4,1,2]=>[1,2,3,6,4,5,7]=>[1,2,3,6,4,5,7]=>([(4,6),(5,6)],7)
[5,7,3,6,4,2,1]=>[1,2,3,6,4,5,7]=>[1,2,3,6,4,5,7]=>([(4,6),(5,6)],7)
[5,7,4,1,2,3,6]=>[1,2,3,6,4,5,7]=>[1,2,3,6,4,5,7]=>([(4,6),(5,6)],7)
[5,7,4,1,2,6,3]=>[1,2,6,3,4,5,7]=>[1,2,6,3,4,5,7]=>([(3,6),(4,6),(5,6)],7)
[5,7,4,1,3,2,6]=>[1,3,2,6,4,5,7]=>[1,3,2,6,4,5,7]=>([(2,3),(4,6),(5,6)],7)
[5,7,4,1,3,6,2]=>[1,3,6,2,4,5,7]=>[1,6,3,2,4,5,7]=>([(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[5,7,4,1,6,2,3]=>[1,6,2,3,4,5,7]=>[1,6,2,3,4,5,7]=>([(2,6),(3,6),(4,6),(5,6)],7)
[5,7,4,1,6,3,2]=>[1,6,2,3,4,5,7]=>[1,6,2,3,4,5,7]=>([(2,6),(3,6),(4,6),(5,6)],7)
[5,7,4,2,1,3,6]=>[1,3,6,2,4,5,7]=>[1,6,3,2,4,5,7]=>([(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[5,7,4,2,1,6,3]=>[1,6,2,3,4,5,7]=>[1,6,2,3,4,5,7]=>([(2,6),(3,6),(4,6),(5,6)],7)
[5,7,4,2,3,1,6]=>[1,6,2,3,4,5,7]=>[1,6,2,3,4,5,7]=>([(2,6),(3,6),(4,6),(5,6)],7)
[5,7,4,2,3,6,1]=>[1,2,3,6,4,5,7]=>[1,2,3,6,4,5,7]=>([(4,6),(5,6)],7)
[5,7,4,2,6,1,3]=>[1,3,2,6,4,5,7]=>[1,3,2,6,4,5,7]=>([(2,3),(4,6),(5,6)],7)
[5,7,4,2,6,3,1]=>[1,2,6,3,4,5,7]=>[1,2,6,3,4,5,7]=>([(3,6),(4,6),(5,6)],7)
[5,7,4,3,1,2,6]=>[1,2,6,3,4,5,7]=>[1,2,6,3,4,5,7]=>([(3,6),(4,6),(5,6)],7)
[5,7,4,3,1,6,2]=>[1,6,2,3,4,5,7]=>[1,6,2,3,4,5,7]=>([(2,6),(3,6),(4,6),(5,6)],7)
[5,7,4,3,2,1,6]=>[1,6,2,3,4,5,7]=>[1,6,2,3,4,5,7]=>([(2,6),(3,6),(4,6),(5,6)],7)
[5,7,4,3,2,6,1]=>[1,2,6,3,4,5,7]=>[1,2,6,3,4,5,7]=>([(3,6),(4,6),(5,6)],7)
[5,7,4,3,6,1,2]=>[1,2,3,6,4,5,7]=>[1,2,3,6,4,5,7]=>([(4,6),(5,6)],7)
[5,7,4,3,6,2,1]=>[1,2,3,6,4,5,7]=>[1,2,3,6,4,5,7]=>([(4,6),(5,6)],7)
[5,7,4,6,1,2,3]=>[1,2,3,4,6,5,7]=>[1,2,3,4,6,5,7]=>([(5,6)],7)
[5,7,4,6,1,3,2]=>[1,3,2,4,6,5,7]=>[1,3,2,4,6,5,7]=>([(3,6),(4,5)],7)
[5,7,4,6,2,1,3]=>[1,3,2,4,6,5,7]=>[1,3,2,4,6,5,7]=>([(3,6),(4,5)],7)
[5,7,4,6,2,3,1]=>[1,2,3,4,6,5,7]=>[1,2,3,4,6,5,7]=>([(5,6)],7)
[5,7,4,6,3,1,2]=>[1,2,3,4,6,5,7]=>[1,2,3,4,6,5,7]=>([(5,6)],7)
[5,7,4,6,3,2,1]=>[1,2,3,4,6,5,7]=>[1,2,3,4,6,5,7]=>([(5,6)],7)
[5,7,6,1,2,3,4]=>[1,2,3,4,5,7,6]=>[1,2,3,4,5,7,6]=>([(5,6)],7)
[5,7,6,1,2,4,3]=>[1,2,4,3,5,7,6]=>[1,2,4,3,5,7,6]=>([(3,6),(4,5)],7)
[5,7,6,1,3,2,4]=>[1,3,2,4,5,7,6]=>[1,3,2,4,5,7,6]=>([(3,6),(4,5)],7)
[5,7,6,1,3,4,2]=>[1,3,4,2,5,7,6]=>[1,4,3,2,5,7,6]=>([(2,3),(4,5),(4,6),(5,6)],7)
[5,7,6,1,4,2,3]=>[1,4,2,3,5,7,6]=>[1,4,2,3,5,7,6]=>([(2,3),(4,6),(5,6)],7)
[5,7,6,1,4,3,2]=>[1,4,2,3,5,7,6]=>[1,4,2,3,5,7,6]=>([(2,3),(4,6),(5,6)],7)
[5,7,6,2,1,3,4]=>[1,3,4,2,5,7,6]=>[1,4,3,2,5,7,6]=>([(2,3),(4,5),(4,6),(5,6)],7)
[5,7,6,2,1,4,3]=>[1,4,2,3,5,7,6]=>[1,4,2,3,5,7,6]=>([(2,3),(4,6),(5,6)],7)
[5,7,6,2,3,1,4]=>[1,4,2,3,5,7,6]=>[1,4,2,3,5,7,6]=>([(2,3),(4,6),(5,6)],7)
[5,7,6,2,3,4,1]=>[1,2,3,4,5,7,6]=>[1,2,3,4,5,7,6]=>([(5,6)],7)
[5,7,6,2,4,1,3]=>[1,3,2,4,5,7,6]=>[1,3,2,4,5,7,6]=>([(3,6),(4,5)],7)
[5,7,6,2,4,3,1]=>[1,2,4,3,5,7,6]=>[1,2,4,3,5,7,6]=>([(3,6),(4,5)],7)
[5,7,6,3,1,2,4]=>[1,2,4,3,5,7,6]=>[1,2,4,3,5,7,6]=>([(3,6),(4,5)],7)
[5,7,6,3,1,4,2]=>[1,4,2,3,5,7,6]=>[1,4,2,3,5,7,6]=>([(2,3),(4,6),(5,6)],7)
[5,7,6,3,2,1,4]=>[1,4,2,3,5,7,6]=>[1,4,2,3,5,7,6]=>([(2,3),(4,6),(5,6)],7)
[5,7,6,3,2,4,1]=>[1,2,4,3,5,7,6]=>[1,2,4,3,5,7,6]=>([(3,6),(4,5)],7)
[5,7,6,3,4,1,2]=>[1,2,3,4,5,7,6]=>[1,2,3,4,5,7,6]=>([(5,6)],7)
[5,7,6,3,4,2,1]=>[1,2,3,4,5,7,6]=>[1,2,3,4,5,7,6]=>([(5,6)],7)
[5,7,6,4,1,2,3]=>[1,2,3,4,5,7,6]=>[1,2,3,4,5,7,6]=>([(5,6)],7)
[5,7,6,4,1,3,2]=>[1,3,2,4,5,7,6]=>[1,3,2,4,5,7,6]=>([(3,6),(4,5)],7)
[5,7,6,4,2,1,3]=>[1,3,2,4,5,7,6]=>[1,3,2,4,5,7,6]=>([(3,6),(4,5)],7)
[5,7,6,4,2,3,1]=>[1,2,3,4,5,7,6]=>[1,2,3,4,5,7,6]=>([(5,6)],7)
[5,7,6,4,3,1,2]=>[1,2,3,4,5,7,6]=>[1,2,3,4,5,7,6]=>([(5,6)],7)
[5,7,6,4,3,2,1]=>[1,2,3,4,5,7,6]=>[1,2,3,4,5,7,6]=>([(5,6)],7)
[6,1,2,3,4,5,7]=>[1,2,3,4,5,7,6]=>[1,2,3,4,5,7,6]=>([(5,6)],7)
[6,1,2,3,4,7,5]=>[1,2,3,4,7,5,6]=>[1,2,3,4,7,5,6]=>([(4,6),(5,6)],7)
[6,1,2,3,5,4,7]=>[1,2,3,5,4,7,6]=>[1,2,3,5,4,7,6]=>([(3,6),(4,5)],7)
[6,1,2,3,5,7,4]=>[1,2,3,5,7,4,6]=>[1,2,3,7,5,4,6]=>([(3,6),(4,5),(4,6),(5,6)],7)
[6,1,2,3,7,4,5]=>[1,2,3,7,4,5,6]=>[1,2,3,7,4,5,6]=>([(3,6),(4,6),(5,6)],7)
[6,1,2,3,7,5,4]=>[1,2,3,7,4,5,6]=>[1,2,3,7,4,5,6]=>([(3,6),(4,6),(5,6)],7)
[6,1,2,4,3,5,7]=>[1,2,4,3,5,7,6]=>[1,2,4,3,5,7,6]=>([(3,6),(4,5)],7)
[6,1,2,4,3,7,5]=>[1,2,4,3,7,5,6]=>[1,2,4,3,7,5,6]=>([(2,3),(4,6),(5,6)],7)
[6,1,2,4,5,3,7]=>[1,2,4,5,3,7,6]=>[1,2,5,4,3,7,6]=>([(2,3),(4,5),(4,6),(5,6)],7)
[6,1,2,4,5,7,3]=>[1,2,4,5,7,3,6]=>[1,2,7,4,5,3,6]=>([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,1,2,4,7,3,5]=>[1,2,4,7,3,5,6]=>[1,2,7,4,3,5,6]=>([(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[6,1,2,4,7,5,3]=>[1,2,4,7,3,5,6]=>[1,2,7,4,3,5,6]=>([(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[6,1,2,5,3,4,7]=>[1,2,5,3,4,7,6]=>[1,2,5,3,4,7,6]=>([(2,3),(4,6),(5,6)],7)
[6,1,2,5,3,7,4]=>[1,2,5,3,7,4,6]=>[1,2,5,7,3,4,6]=>([(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[6,1,2,5,4,3,7]=>[1,2,5,3,7,4,6]=>[1,2,5,7,3,4,6]=>([(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[6,1,2,5,4,7,3]=>[1,2,5,3,4,7,6]=>[1,2,5,3,4,7,6]=>([(2,3),(4,6),(5,6)],7)
[6,1,2,5,7,3,4]=>[1,2,5,7,3,4,6]=>[1,2,7,3,5,4,6]=>([(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[6,1,2,5,7,4,3]=>[1,2,5,7,3,4,6]=>[1,2,7,3,5,4,6]=>([(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[6,1,2,7,3,4,5]=>[1,2,7,3,4,5,6]=>[1,2,7,3,4,5,6]=>([(2,6),(3,6),(4,6),(5,6)],7)
[6,1,2,7,3,5,4]=>[1,2,7,3,5,4,6]=>[1,2,7,5,3,4,6]=>([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,1,2,7,4,3,5]=>[1,2,7,3,5,4,6]=>[1,2,7,5,3,4,6]=>([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,1,2,7,4,5,3]=>[1,2,7,3,4,5,6]=>[1,2,7,3,4,5,6]=>([(2,6),(3,6),(4,6),(5,6)],7)
[6,1,2,7,5,3,4]=>[1,2,7,3,4,5,6]=>[1,2,7,3,4,5,6]=>([(2,6),(3,6),(4,6),(5,6)],7)
[6,1,2,7,5,4,3]=>[1,2,7,3,4,5,6]=>[1,2,7,3,4,5,6]=>([(2,6),(3,6),(4,6),(5,6)],7)
[6,1,3,2,4,5,7]=>[1,3,2,4,5,7,6]=>[1,3,2,4,5,7,6]=>([(3,6),(4,5)],7)
[6,1,3,2,4,7,5]=>[1,3,2,4,7,5,6]=>[1,3,2,4,7,5,6]=>([(2,3),(4,6),(5,6)],7)
[6,1,3,2,5,4,7]=>[1,3,2,5,4,7,6]=>[1,3,2,5,4,7,6]=>([(1,6),(2,5),(3,4)],7)
[6,1,3,2,5,7,4]=>[1,3,2,5,7,4,6]=>[1,3,2,7,5,4,6]=>([(1,2),(3,6),(4,5),(4,6),(5,6)],7)
[6,1,3,2,7,4,5]=>[1,3,2,7,4,5,6]=>[1,3,2,7,4,5,6]=>([(1,2),(3,6),(4,6),(5,6)],7)
[6,1,3,2,7,5,4]=>[1,3,2,7,4,5,6]=>[1,3,2,7,4,5,6]=>([(1,2),(3,6),(4,6),(5,6)],7)
[6,1,3,4,2,5,7]=>[1,3,4,2,5,7,6]=>[1,4,3,2,5,7,6]=>([(2,3),(4,5),(4,6),(5,6)],7)
[6,1,3,4,2,7,5]=>[1,3,4,2,7,5,6]=>[1,4,3,2,7,5,6]=>([(1,6),(2,6),(3,4),(3,5),(4,5)],7)
[6,1,3,4,5,2,7]=>[1,3,4,5,2,7,6]=>[1,5,3,4,2,7,6]=>([(1,2),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,1,3,4,5,7,2]=>[1,3,4,5,7,2,6]=>[1,7,3,4,5,2,6]=>([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,1,3,4,7,2,5]=>[1,3,4,7,2,5,6]=>[1,7,3,4,2,5,6]=>([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,1,3,4,7,5,2]=>[1,3,4,7,2,5,6]=>[1,7,3,4,2,5,6]=>([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,1,3,5,2,4,7]=>[1,3,5,2,4,7,6]=>[1,5,3,2,4,7,6]=>([(1,2),(3,6),(4,5),(4,6),(5,6)],7)
[6,1,3,5,2,7,4]=>[1,3,5,2,7,4,6]=>[1,5,3,7,2,4,6]=>([(1,6),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
[6,1,3,5,4,2,7]=>[1,3,5,2,7,4,6]=>[1,5,3,7,2,4,6]=>([(1,6),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
[6,1,3,5,4,7,2]=>[1,3,5,2,4,7,6]=>[1,5,3,2,4,7,6]=>([(1,2),(3,6),(4,5),(4,6),(5,6)],7)
[6,1,3,5,7,2,4]=>[1,3,5,7,2,4,6]=>[1,7,3,2,5,4,6]=>([(1,6),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7)
[6,1,3,5,7,4,2]=>[1,3,5,7,2,4,6]=>[1,7,3,2,5,4,6]=>([(1,6),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7)
[6,1,3,7,2,4,5]=>[1,3,7,2,4,5,6]=>[1,7,3,2,4,5,6]=>([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[6,1,3,7,2,5,4]=>[1,3,7,2,5,4,6]=>[1,7,3,5,2,4,6]=>([(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[6,1,3,7,4,2,5]=>[1,3,7,2,5,4,6]=>[1,7,3,5,2,4,6]=>([(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[6,1,3,7,4,5,2]=>[1,3,7,2,4,5,6]=>[1,7,3,2,4,5,6]=>([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[6,1,3,7,5,2,4]=>[1,3,7,2,4,5,6]=>[1,7,3,2,4,5,6]=>([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[6,1,3,7,5,4,2]=>[1,3,7,2,4,5,6]=>[1,7,3,2,4,5,6]=>([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[6,1,4,2,3,5,7]=>[1,4,2,3,5,7,6]=>[1,4,2,3,5,7,6]=>([(2,3),(4,6),(5,6)],7)
[6,1,4,2,3,7,5]=>[1,4,2,3,7,5,6]=>[1,4,2,3,7,5,6]=>([(1,6),(2,6),(3,5),(4,5)],7)
[6,1,4,2,5,3,7]=>[1,4,2,5,3,7,6]=>[1,4,5,2,3,7,6]=>([(1,2),(3,5),(3,6),(4,5),(4,6)],7)
[6,1,4,2,5,7,3]=>[1,4,2,5,7,3,6]=>[1,4,7,2,5,3,6]=>([(1,6),(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7)
[6,1,4,2,7,3,5]=>[1,4,2,7,3,5,6]=>[1,4,7,2,3,5,6]=>([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[6,1,4,2,7,5,3]=>[1,4,2,7,3,5,6]=>[1,4,7,2,3,5,6]=>([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[6,1,4,3,2,5,7]=>[1,4,2,5,7,3,6]=>[1,4,7,2,5,3,6]=>([(1,6),(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7)
[6,1,4,3,2,7,5]=>[1,4,2,7,3,5,6]=>[1,4,7,2,3,5,6]=>([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[6,1,4,3,5,2,7]=>[1,4,2,7,3,5,6]=>[1,4,7,2,3,5,6]=>([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[6,1,4,3,5,7,2]=>[1,4,2,3,5,7,6]=>[1,4,2,3,5,7,6]=>([(2,3),(4,6),(5,6)],7)
[6,1,4,3,7,2,5]=>[1,4,2,5,3,7,6]=>[1,4,5,2,3,7,6]=>([(1,2),(3,5),(3,6),(4,5),(4,6)],7)
[6,1,4,3,7,5,2]=>[1,4,2,3,7,5,6]=>[1,4,2,3,7,5,6]=>([(1,6),(2,6),(3,5),(4,5)],7)
[6,1,4,5,2,3,7]=>[1,4,5,2,3,7,6]=>[1,5,2,4,3,7,6]=>([(1,2),(3,6),(4,5),(4,6),(5,6)],7)
[6,1,4,5,2,7,3]=>[1,4,5,2,7,3,6]=>[1,5,7,4,2,3,6]=>([(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,1,4,5,3,2,7]=>[1,4,5,2,7,3,6]=>[1,5,7,4,2,3,6]=>([(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,1,4,5,3,7,2]=>[1,4,5,2,3,7,6]=>[1,5,2,4,3,7,6]=>([(1,2),(3,6),(4,5),(4,6),(5,6)],7)
[6,1,4,5,7,2,3]=>[1,4,5,7,2,3,6]=>[1,7,2,4,5,3,6]=>([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,1,4,5,7,3,2]=>[1,4,5,7,2,3,6]=>[1,7,2,4,5,3,6]=>([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,1,4,7,2,3,5]=>[1,4,7,2,3,5,6]=>[1,7,2,4,3,5,6]=>([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[6,1,4,7,2,5,3]=>[1,4,7,2,5,3,6]=>[1,7,5,4,2,3,6]=>([(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,1,4,7,3,2,5]=>[1,4,7,2,5,3,6]=>[1,7,5,4,2,3,6]=>([(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,1,4,7,3,5,2]=>[1,4,7,2,3,5,6]=>[1,7,2,4,3,5,6]=>([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[6,1,4,7,5,2,3]=>[1,4,7,2,3,5,6]=>[1,7,2,4,3,5,6]=>([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[6,1,4,7,5,3,2]=>[1,4,7,2,3,5,6]=>[1,7,2,4,3,5,6]=>([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[6,1,5,2,3,4,7]=>[1,5,2,3,4,7,6]=>[1,5,2,3,4,7,6]=>([(1,2),(3,6),(4,6),(5,6)],7)
[6,1,5,2,3,7,4]=>[1,5,2,3,7,4,6]=>[1,5,2,7,3,4,6]=>([(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
[6,1,5,2,4,3,7]=>[1,5,2,4,3,7,6]=>[1,5,4,2,3,7,6]=>([(1,2),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,1,5,2,4,7,3]=>[1,5,2,4,7,3,6]=>[1,5,7,2,4,3,6]=>([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[6,1,5,2,7,3,4]=>[1,5,2,7,3,4,6]=>[1,5,7,3,2,4,6]=>([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[6,1,5,2,7,4,3]=>[1,5,2,7,3,4,6]=>[1,5,7,3,2,4,6]=>([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[6,1,5,3,2,4,7]=>[1,5,2,4,7,3,6]=>[1,5,7,2,4,3,6]=>([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[6,1,5,3,2,7,4]=>[1,5,2,7,3,4,6]=>[1,5,7,3,2,4,6]=>([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[6,1,5,3,4,2,7]=>[1,5,2,7,3,4,6]=>[1,5,7,3,2,4,6]=>([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[6,1,5,3,4,7,2]=>[1,5,2,3,4,7,6]=>[1,5,2,3,4,7,6]=>([(1,2),(3,6),(4,6),(5,6)],7)
[6,1,5,3,7,2,4]=>[1,5,2,4,3,7,6]=>[1,5,4,2,3,7,6]=>([(1,2),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,1,5,3,7,4,2]=>[1,5,2,3,7,4,6]=>[1,5,2,7,3,4,6]=>([(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
[6,1,5,4,2,3,7]=>[1,5,2,3,7,4,6]=>[1,5,2,7,3,4,6]=>([(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
[6,1,5,4,2,7,3]=>[1,5,2,7,3,4,6]=>[1,5,7,3,2,4,6]=>([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[6,1,5,4,3,2,7]=>[1,5,2,7,3,4,6]=>[1,5,7,3,2,4,6]=>([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[6,1,5,4,3,7,2]=>[1,5,2,3,7,4,6]=>[1,5,2,7,3,4,6]=>([(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
[6,1,5,4,7,2,3]=>[1,5,2,3,4,7,6]=>[1,5,2,3,4,7,6]=>([(1,2),(3,6),(4,6),(5,6)],7)
[6,1,5,4,7,3,2]=>[1,5,2,3,4,7,6]=>[1,5,2,3,4,7,6]=>([(1,2),(3,6),(4,6),(5,6)],7)
[6,1,5,7,2,3,4]=>[1,5,7,2,3,4,6]=>[1,7,2,3,5,4,6]=>([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[6,1,5,7,2,4,3]=>[1,5,7,2,4,3,6]=>[1,7,4,2,5,3,6]=>([(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[6,1,5,7,3,2,4]=>[1,5,7,2,4,3,6]=>[1,7,4,2,5,3,6]=>([(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[6,1,5,7,3,4,2]=>[1,5,7,2,3,4,6]=>[1,7,2,3,5,4,6]=>([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[6,1,5,7,4,2,3]=>[1,5,7,2,3,4,6]=>[1,7,2,3,5,4,6]=>([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[6,1,5,7,4,3,2]=>[1,5,7,2,3,4,6]=>[1,7,2,3,5,4,6]=>([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[6,1,7,2,3,4,5]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[6,1,7,2,3,5,4]=>[1,7,2,3,5,4,6]=>[1,7,2,5,3,4,6]=>([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,1,7,2,4,3,5]=>[1,7,2,4,3,5,6]=>[1,7,4,2,3,5,6]=>([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,1,7,2,4,5,3]=>[1,7,2,4,5,3,6]=>[1,7,5,2,4,3,6]=>([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,1,7,2,5,3,4]=>[1,7,2,5,3,4,6]=>[1,7,5,3,2,4,6]=>([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,1,7,2,5,4,3]=>[1,7,2,5,3,4,6]=>[1,7,5,3,2,4,6]=>([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,1,7,3,2,4,5]=>[1,7,2,4,5,3,6]=>[1,7,5,2,4,3,6]=>([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,1,7,3,2,5,4]=>[1,7,2,5,3,4,6]=>[1,7,5,3,2,4,6]=>([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,1,7,3,4,2,5]=>[1,7,2,5,3,4,6]=>[1,7,5,3,2,4,6]=>([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,1,7,3,4,5,2]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[6,1,7,3,5,2,4]=>[1,7,2,4,3,5,6]=>[1,7,4,2,3,5,6]=>([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,1,7,3,5,4,2]=>[1,7,2,3,5,4,6]=>[1,7,2,5,3,4,6]=>([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,1,7,4,2,3,5]=>[1,7,2,3,5,4,6]=>[1,7,2,5,3,4,6]=>([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,1,7,4,2,5,3]=>[1,7,2,5,3,4,6]=>[1,7,5,3,2,4,6]=>([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,1,7,4,3,2,5]=>[1,7,2,5,3,4,6]=>[1,7,5,3,2,4,6]=>([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,1,7,4,3,5,2]=>[1,7,2,3,5,4,6]=>[1,7,2,5,3,4,6]=>([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,1,7,4,5,2,3]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[6,1,7,4,5,3,2]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[6,1,7,5,2,3,4]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[6,1,7,5,2,4,3]=>[1,7,2,4,3,5,6]=>[1,7,4,2,3,5,6]=>([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,1,7,5,3,2,4]=>[1,7,2,4,3,5,6]=>[1,7,4,2,3,5,6]=>([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,1,7,5,3,4,2]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[6,1,7,5,4,2,3]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[6,1,7,5,4,3,2]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[6,2,1,3,4,5,7]=>[1,3,4,5,7,2,6]=>[1,7,3,4,5,2,6]=>([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,2,1,3,4,7,5]=>[1,3,4,7,2,5,6]=>[1,7,3,4,2,5,6]=>([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,2,1,3,5,4,7]=>[1,3,5,2,4,7,6]=>[1,5,3,2,4,7,6]=>([(1,2),(3,6),(4,5),(4,6),(5,6)],7)
[6,2,1,3,5,7,4]=>[1,3,5,7,2,4,6]=>[1,7,3,2,5,4,6]=>([(1,6),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7)
[6,2,1,3,7,4,5]=>[1,3,7,2,4,5,6]=>[1,7,3,2,4,5,6]=>([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[6,2,1,3,7,5,4]=>[1,3,7,2,4,5,6]=>[1,7,3,2,4,5,6]=>([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[6,2,1,4,3,5,7]=>[1,4,2,3,5,7,6]=>[1,4,2,3,5,7,6]=>([(2,3),(4,6),(5,6)],7)
[6,2,1,4,3,7,5]=>[1,4,2,3,7,5,6]=>[1,4,2,3,7,5,6]=>([(1,6),(2,6),(3,5),(4,5)],7)
[6,2,1,4,5,3,7]=>[1,4,5,2,3,7,6]=>[1,5,2,4,3,7,6]=>([(1,2),(3,6),(4,5),(4,6),(5,6)],7)
[6,2,1,4,5,7,3]=>[1,4,5,7,2,3,6]=>[1,7,2,4,5,3,6]=>([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,2,1,4,7,3,5]=>[1,4,7,2,3,5,6]=>[1,7,2,4,3,5,6]=>([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[6,2,1,4,7,5,3]=>[1,4,7,2,3,5,6]=>[1,7,2,4,3,5,6]=>([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[6,2,1,5,3,4,7]=>[1,5,2,3,4,7,6]=>[1,5,2,3,4,7,6]=>([(1,2),(3,6),(4,6),(5,6)],7)
[6,2,1,5,3,7,4]=>[1,5,2,3,7,4,6]=>[1,5,2,7,3,4,6]=>([(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
[6,2,1,5,4,3,7]=>[1,5,2,3,7,4,6]=>[1,5,2,7,3,4,6]=>([(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
[6,2,1,5,4,7,3]=>[1,5,2,3,4,7,6]=>[1,5,2,3,4,7,6]=>([(1,2),(3,6),(4,6),(5,6)],7)
[6,2,1,5,7,3,4]=>[1,5,7,2,3,4,6]=>[1,7,2,3,5,4,6]=>([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[6,2,1,5,7,4,3]=>[1,5,7,2,3,4,6]=>[1,7,2,3,5,4,6]=>([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[6,2,1,7,3,4,5]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[6,2,1,7,3,5,4]=>[1,7,2,3,5,4,6]=>[1,7,2,5,3,4,6]=>([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,2,1,7,4,3,5]=>[1,7,2,3,5,4,6]=>[1,7,2,5,3,4,6]=>([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,2,1,7,4,5,3]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[6,2,1,7,5,3,4]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[6,2,1,7,5,4,3]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[6,2,3,1,4,5,7]=>[1,4,5,7,2,3,6]=>[1,7,2,4,5,3,6]=>([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,2,3,1,4,7,5]=>[1,4,7,2,3,5,6]=>[1,7,2,4,3,5,6]=>([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[6,2,3,1,5,4,7]=>[1,5,2,3,4,7,6]=>[1,5,2,3,4,7,6]=>([(1,2),(3,6),(4,6),(5,6)],7)
[6,2,3,1,5,7,4]=>[1,5,7,2,3,4,6]=>[1,7,2,3,5,4,6]=>([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[6,2,3,1,7,4,5]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[6,2,3,1,7,5,4]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[6,2,3,4,1,5,7]=>[1,5,7,2,3,4,6]=>[1,7,2,3,5,4,6]=>([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[6,2,3,4,1,7,5]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[6,2,3,4,5,1,7]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[6,2,3,4,5,7,1]=>[1,2,3,4,5,7,6]=>[1,2,3,4,5,7,6]=>([(5,6)],7)
[6,2,3,4,7,1,5]=>[1,5,2,3,4,7,6]=>[1,5,2,3,4,7,6]=>([(1,2),(3,6),(4,6),(5,6)],7)
[6,2,3,4,7,5,1]=>[1,2,3,4,7,5,6]=>[1,2,3,4,7,5,6]=>([(4,6),(5,6)],7)
[6,2,3,5,1,4,7]=>[1,4,7,2,3,5,6]=>[1,7,2,4,3,5,6]=>([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[6,2,3,5,1,7,4]=>[1,7,2,3,5,4,6]=>[1,7,2,5,3,4,6]=>([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,2,3,5,4,1,7]=>[1,7,2,3,5,4,6]=>[1,7,2,5,3,4,6]=>([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,2,3,5,4,7,1]=>[1,2,3,5,4,7,6]=>[1,2,3,5,4,7,6]=>([(3,6),(4,5)],7)
[6,2,3,5,7,1,4]=>[1,4,2,3,5,7,6]=>[1,4,2,3,5,7,6]=>([(2,3),(4,6),(5,6)],7)
[6,2,3,5,7,4,1]=>[1,2,3,5,7,4,6]=>[1,2,3,7,5,4,6]=>([(3,6),(4,5),(4,6),(5,6)],7)
[6,2,3,7,1,4,5]=>[1,4,5,2,3,7,6]=>[1,5,2,4,3,7,6]=>([(1,2),(3,6),(4,5),(4,6),(5,6)],7)
[6,2,3,7,1,5,4]=>[1,5,2,3,7,4,6]=>[1,5,2,7,3,4,6]=>([(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
[6,2,3,7,4,1,5]=>[1,5,2,3,7,4,6]=>[1,5,2,7,3,4,6]=>([(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
[6,2,3,7,4,5,1]=>[1,2,3,7,4,5,6]=>[1,2,3,7,4,5,6]=>([(3,6),(4,6),(5,6)],7)
[6,2,3,7,5,1,4]=>[1,4,2,3,7,5,6]=>[1,4,2,3,7,5,6]=>([(1,6),(2,6),(3,5),(4,5)],7)
[6,2,3,7,5,4,1]=>[1,2,3,7,4,5,6]=>[1,2,3,7,4,5,6]=>([(3,6),(4,6),(5,6)],7)
[6,2,4,1,3,5,7]=>[1,3,5,7,2,4,6]=>[1,7,3,2,5,4,6]=>([(1,6),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7)
[6,2,4,1,3,7,5]=>[1,3,7,2,4,5,6]=>[1,7,3,2,4,5,6]=>([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[6,2,4,1,5,3,7]=>[1,5,2,4,3,7,6]=>[1,5,4,2,3,7,6]=>([(1,2),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,2,4,1,5,7,3]=>[1,5,7,2,4,3,6]=>[1,7,4,2,5,3,6]=>([(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[6,2,4,1,7,3,5]=>[1,7,2,4,3,5,6]=>[1,7,4,2,3,5,6]=>([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,2,4,1,7,5,3]=>[1,7,2,4,3,5,6]=>[1,7,4,2,3,5,6]=>([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,2,4,3,1,5,7]=>[1,5,7,2,4,3,6]=>[1,7,4,2,5,3,6]=>([(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[6,2,4,3,1,7,5]=>[1,7,2,4,3,5,6]=>[1,7,4,2,3,5,6]=>([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,2,4,3,5,1,7]=>[1,7,2,4,3,5,6]=>[1,7,4,2,3,5,6]=>([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,2,4,3,5,7,1]=>[1,2,4,3,5,7,6]=>[1,2,4,3,5,7,6]=>([(3,6),(4,5)],7)
[6,2,4,3,7,1,5]=>[1,5,2,4,3,7,6]=>[1,5,4,2,3,7,6]=>([(1,2),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,2,4,3,7,5,1]=>[1,2,4,3,7,5,6]=>[1,2,4,3,7,5,6]=>([(2,3),(4,6),(5,6)],7)
[6,2,4,5,1,3,7]=>[1,3,7,2,4,5,6]=>[1,7,3,2,4,5,6]=>([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[6,2,4,5,1,7,3]=>[1,7,2,4,5,3,6]=>[1,7,5,2,4,3,6]=>([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,2,4,5,3,1,7]=>[1,7,2,4,5,3,6]=>[1,7,5,2,4,3,6]=>([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,2,4,5,3,7,1]=>[1,2,4,5,3,7,6]=>[1,2,5,4,3,7,6]=>([(2,3),(4,5),(4,6),(5,6)],7)
[6,2,4,5,7,1,3]=>[1,3,2,4,5,7,6]=>[1,3,2,4,5,7,6]=>([(3,6),(4,5)],7)
[6,2,4,5,7,3,1]=>[1,2,4,5,7,3,6]=>[1,2,7,4,5,3,6]=>([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,2,4,7,1,3,5]=>[1,3,5,2,4,7,6]=>[1,5,3,2,4,7,6]=>([(1,2),(3,6),(4,5),(4,6),(5,6)],7)
[6,2,4,7,1,5,3]=>[1,5,2,4,7,3,6]=>[1,5,7,2,4,3,6]=>([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[6,2,4,7,3,1,5]=>[1,5,2,4,7,3,6]=>[1,5,7,2,4,3,6]=>([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[6,2,4,7,3,5,1]=>[1,2,4,7,3,5,6]=>[1,2,7,4,3,5,6]=>([(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[6,2,4,7,5,1,3]=>[1,3,2,4,7,5,6]=>[1,3,2,4,7,5,6]=>([(2,3),(4,6),(5,6)],7)
[6,2,4,7,5,3,1]=>[1,2,4,7,3,5,6]=>[1,2,7,4,3,5,6]=>([(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[6,2,5,1,3,4,7]=>[1,3,4,7,2,5,6]=>[1,7,3,4,2,5,6]=>([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,2,5,1,3,7,4]=>[1,3,7,2,5,4,6]=>[1,7,3,5,2,4,6]=>([(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[6,2,5,1,4,3,7]=>[1,4,2,5,3,7,6]=>[1,4,5,2,3,7,6]=>([(1,2),(3,5),(3,6),(4,5),(4,6)],7)
[6,2,5,1,4,7,3]=>[1,4,7,2,5,3,6]=>[1,7,5,4,2,3,6]=>([(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,2,5,1,7,3,4]=>[1,7,2,5,3,4,6]=>[1,7,5,3,2,4,6]=>([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,2,5,1,7,4,3]=>[1,7,2,5,3,4,6]=>[1,7,5,3,2,4,6]=>([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,2,5,3,1,4,7]=>[1,4,7,2,5,3,6]=>[1,7,5,4,2,3,6]=>([(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,2,5,3,1,7,4]=>[1,7,2,5,3,4,6]=>[1,7,5,3,2,4,6]=>([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,2,5,3,4,1,7]=>[1,7,2,5,3,4,6]=>[1,7,5,3,2,4,6]=>([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,2,5,3,4,7,1]=>[1,2,5,3,4,7,6]=>[1,2,5,3,4,7,6]=>([(2,3),(4,6),(5,6)],7)
[6,2,5,3,7,1,4]=>[1,4,2,5,3,7,6]=>[1,4,5,2,3,7,6]=>([(1,2),(3,5),(3,6),(4,5),(4,6)],7)
[6,2,5,3,7,4,1]=>[1,2,5,3,7,4,6]=>[1,2,5,7,3,4,6]=>([(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[6,2,5,4,1,3,7]=>[1,3,7,2,5,4,6]=>[1,7,3,5,2,4,6]=>([(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[6,2,5,4,1,7,3]=>[1,7,2,5,3,4,6]=>[1,7,5,3,2,4,6]=>([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,2,5,4,3,1,7]=>[1,7,2,5,3,4,6]=>[1,7,5,3,2,4,6]=>([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,2,5,4,3,7,1]=>[1,2,5,3,7,4,6]=>[1,2,5,7,3,4,6]=>([(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[6,2,5,4,7,1,3]=>[1,3,2,5,4,7,6]=>[1,3,2,5,4,7,6]=>([(1,6),(2,5),(3,4)],7)
[6,2,5,4,7,3,1]=>[1,2,5,3,4,7,6]=>[1,2,5,3,4,7,6]=>([(2,3),(4,6),(5,6)],7)
[6,2,5,7,1,3,4]=>[1,3,4,2,5,7,6]=>[1,4,3,2,5,7,6]=>([(2,3),(4,5),(4,6),(5,6)],7)
[6,2,5,7,1,4,3]=>[1,4,2,5,7,3,6]=>[1,4,7,2,5,3,6]=>([(1,6),(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7)
[6,2,5,7,3,1,4]=>[1,4,2,5,7,3,6]=>[1,4,7,2,5,3,6]=>([(1,6),(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7)
[6,2,5,7,3,4,1]=>[1,2,5,7,3,4,6]=>[1,2,7,3,5,4,6]=>([(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[6,2,5,7,4,1,3]=>[1,3,2,5,7,4,6]=>[1,3,2,7,5,4,6]=>([(1,2),(3,6),(4,5),(4,6),(5,6)],7)
[6,2,5,7,4,3,1]=>[1,2,5,7,3,4,6]=>[1,2,7,3,5,4,6]=>([(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[6,2,7,1,3,4,5]=>[1,3,4,5,2,7,6]=>[1,5,3,4,2,7,6]=>([(1,2),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,2,7,1,3,5,4]=>[1,3,5,2,7,4,6]=>[1,5,3,7,2,4,6]=>([(1,6),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
[6,2,7,1,4,3,5]=>[1,4,2,7,3,5,6]=>[1,4,7,2,3,5,6]=>([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[6,2,7,1,4,5,3]=>[1,4,5,2,7,3,6]=>[1,5,7,4,2,3,6]=>([(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,2,7,1,5,3,4]=>[1,5,2,7,3,4,6]=>[1,5,7,3,2,4,6]=>([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[6,2,7,1,5,4,3]=>[1,5,2,7,3,4,6]=>[1,5,7,3,2,4,6]=>([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[6,2,7,3,1,4,5]=>[1,4,5,2,7,3,6]=>[1,5,7,4,2,3,6]=>([(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,2,7,3,1,5,4]=>[1,5,2,7,3,4,6]=>[1,5,7,3,2,4,6]=>([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[6,2,7,3,4,1,5]=>[1,5,2,7,3,4,6]=>[1,5,7,3,2,4,6]=>([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[6,2,7,3,4,5,1]=>[1,2,7,3,4,5,6]=>[1,2,7,3,4,5,6]=>([(2,6),(3,6),(4,6),(5,6)],7)
[6,2,7,3,5,1,4]=>[1,4,2,7,3,5,6]=>[1,4,7,2,3,5,6]=>([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[6,2,7,3,5,4,1]=>[1,2,7,3,5,4,6]=>[1,2,7,5,3,4,6]=>([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,2,7,4,1,3,5]=>[1,3,5,2,7,4,6]=>[1,5,3,7,2,4,6]=>([(1,6),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
[6,2,7,4,1,5,3]=>[1,5,2,7,3,4,6]=>[1,5,7,3,2,4,6]=>([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[6,2,7,4,3,1,5]=>[1,5,2,7,3,4,6]=>[1,5,7,3,2,4,6]=>([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[6,2,7,4,3,5,1]=>[1,2,7,3,5,4,6]=>[1,2,7,5,3,4,6]=>([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,2,7,4,5,1,3]=>[1,3,2,7,4,5,6]=>[1,3,2,7,4,5,6]=>([(1,2),(3,6),(4,6),(5,6)],7)
[6,2,7,4,5,3,1]=>[1,2,7,3,4,5,6]=>[1,2,7,3,4,5,6]=>([(2,6),(3,6),(4,6),(5,6)],7)
[6,2,7,5,1,3,4]=>[1,3,4,2,7,5,6]=>[1,4,3,2,7,5,6]=>([(1,6),(2,6),(3,4),(3,5),(4,5)],7)
[6,2,7,5,1,4,3]=>[1,4,2,7,3,5,6]=>[1,4,7,2,3,5,6]=>([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[6,2,7,5,3,1,4]=>[1,4,2,7,3,5,6]=>[1,4,7,2,3,5,6]=>([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[6,2,7,5,3,4,1]=>[1,2,7,3,4,5,6]=>[1,2,7,3,4,5,6]=>([(2,6),(3,6),(4,6),(5,6)],7)
[6,2,7,5,4,1,3]=>[1,3,2,7,4,5,6]=>[1,3,2,7,4,5,6]=>([(1,2),(3,6),(4,6),(5,6)],7)
[6,2,7,5,4,3,1]=>[1,2,7,3,4,5,6]=>[1,2,7,3,4,5,6]=>([(2,6),(3,6),(4,6),(5,6)],7)
[6,3,1,2,4,5,7]=>[1,2,4,5,7,3,6]=>[1,2,7,4,5,3,6]=>([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,3,1,2,4,7,5]=>[1,2,4,7,3,5,6]=>[1,2,7,4,3,5,6]=>([(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[6,3,1,2,5,4,7]=>[1,2,5,3,4,7,6]=>[1,2,5,3,4,7,6]=>([(2,3),(4,6),(5,6)],7)
[6,3,1,2,5,7,4]=>[1,2,5,7,3,4,6]=>[1,2,7,3,5,4,6]=>([(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[6,3,1,2,7,4,5]=>[1,2,7,3,4,5,6]=>[1,2,7,3,4,5,6]=>([(2,6),(3,6),(4,6),(5,6)],7)
[6,3,1,2,7,5,4]=>[1,2,7,3,4,5,6]=>[1,2,7,3,4,5,6]=>([(2,6),(3,6),(4,6),(5,6)],7)
[6,3,1,4,2,5,7]=>[1,4,2,5,7,3,6]=>[1,4,7,2,5,3,6]=>([(1,6),(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7)
[6,3,1,4,2,7,5]=>[1,4,2,7,3,5,6]=>[1,4,7,2,3,5,6]=>([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[6,3,1,4,5,2,7]=>[1,4,5,2,7,3,6]=>[1,5,7,4,2,3,6]=>([(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,3,1,4,5,7,2]=>[1,4,5,7,2,3,6]=>[1,7,2,4,5,3,6]=>([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,3,1,4,7,2,5]=>[1,4,7,2,5,3,6]=>[1,7,5,4,2,3,6]=>([(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,3,1,4,7,5,2]=>[1,4,7,2,3,5,6]=>[1,7,2,4,3,5,6]=>([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[6,3,1,5,2,4,7]=>[1,5,2,4,7,3,6]=>[1,5,7,2,4,3,6]=>([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[6,3,1,5,2,7,4]=>[1,5,2,7,3,4,6]=>[1,5,7,3,2,4,6]=>([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[6,3,1,5,4,2,7]=>[1,5,2,7,3,4,6]=>[1,5,7,3,2,4,6]=>([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[6,3,1,5,4,7,2]=>[1,5,2,3,4,7,6]=>[1,5,2,3,4,7,6]=>([(1,2),(3,6),(4,6),(5,6)],7)
[6,3,1,5,7,2,4]=>[1,5,7,2,4,3,6]=>[1,7,4,2,5,3,6]=>([(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[6,3,1,5,7,4,2]=>[1,5,7,2,3,4,6]=>[1,7,2,3,5,4,6]=>([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[6,3,1,7,2,4,5]=>[1,7,2,4,5,3,6]=>[1,7,5,2,4,3,6]=>([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,3,1,7,2,5,4]=>[1,7,2,5,3,4,6]=>[1,7,5,3,2,4,6]=>([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,3,1,7,4,2,5]=>[1,7,2,5,3,4,6]=>[1,7,5,3,2,4,6]=>([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,3,1,7,4,5,2]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[6,3,1,7,5,2,4]=>[1,7,2,4,3,5,6]=>[1,7,4,2,3,5,6]=>([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,3,1,7,5,4,2]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[6,3,2,1,4,5,7]=>[1,4,5,7,2,3,6]=>[1,7,2,4,5,3,6]=>([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,3,2,1,4,7,5]=>[1,4,7,2,3,5,6]=>[1,7,2,4,3,5,6]=>([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[6,3,2,1,5,4,7]=>[1,5,2,3,4,7,6]=>[1,5,2,3,4,7,6]=>([(1,2),(3,6),(4,6),(5,6)],7)
[6,3,2,1,5,7,4]=>[1,5,7,2,3,4,6]=>[1,7,2,3,5,4,6]=>([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[6,3,2,1,7,4,5]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[6,3,2,1,7,5,4]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[6,3,2,4,1,5,7]=>[1,5,7,2,4,3,6]=>[1,7,4,2,5,3,6]=>([(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[6,3,2,4,1,7,5]=>[1,7,2,4,3,5,6]=>[1,7,4,2,3,5,6]=>([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,3,2,4,5,1,7]=>[1,7,2,4,5,3,6]=>[1,7,5,2,4,3,6]=>([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,3,2,4,5,7,1]=>[1,2,4,5,7,3,6]=>[1,2,7,4,5,3,6]=>([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,3,2,4,7,1,5]=>[1,5,2,4,7,3,6]=>[1,5,7,2,4,3,6]=>([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[6,3,2,4,7,5,1]=>[1,2,4,7,3,5,6]=>[1,2,7,4,3,5,6]=>([(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[6,3,2,5,1,4,7]=>[1,4,7,2,5,3,6]=>[1,7,5,4,2,3,6]=>([(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,3,2,5,1,7,4]=>[1,7,2,5,3,4,6]=>[1,7,5,3,2,4,6]=>([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,3,2,5,4,1,7]=>[1,7,2,5,3,4,6]=>[1,7,5,3,2,4,6]=>([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,3,2,5,4,7,1]=>[1,2,5,3,4,7,6]=>[1,2,5,3,4,7,6]=>([(2,3),(4,6),(5,6)],7)
[6,3,2,5,7,1,4]=>[1,4,2,5,7,3,6]=>[1,4,7,2,5,3,6]=>([(1,6),(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7)
[6,3,2,5,7,4,1]=>[1,2,5,7,3,4,6]=>[1,2,7,3,5,4,6]=>([(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[6,3,2,7,1,4,5]=>[1,4,5,2,7,3,6]=>[1,5,7,4,2,3,6]=>([(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,3,2,7,1,5,4]=>[1,5,2,7,3,4,6]=>[1,5,7,3,2,4,6]=>([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[6,3,2,7,4,1,5]=>[1,5,2,7,3,4,6]=>[1,5,7,3,2,4,6]=>([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[6,3,2,7,4,5,1]=>[1,2,7,3,4,5,6]=>[1,2,7,3,4,5,6]=>([(2,6),(3,6),(4,6),(5,6)],7)
[6,3,2,7,5,1,4]=>[1,4,2,7,3,5,6]=>[1,4,7,2,3,5,6]=>([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[6,3,2,7,5,4,1]=>[1,2,7,3,4,5,6]=>[1,2,7,3,4,5,6]=>([(2,6),(3,6),(4,6),(5,6)],7)
[6,3,4,1,2,5,7]=>[1,2,5,7,3,4,6]=>[1,2,7,3,5,4,6]=>([(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[6,3,4,1,2,7,5]=>[1,2,7,3,4,5,6]=>[1,2,7,3,4,5,6]=>([(2,6),(3,6),(4,6),(5,6)],7)
[6,3,4,1,5,2,7]=>[1,5,2,7,3,4,6]=>[1,5,7,3,2,4,6]=>([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[6,3,4,1,5,7,2]=>[1,5,7,2,3,4,6]=>[1,7,2,3,5,4,6]=>([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[6,3,4,1,7,2,5]=>[1,7,2,5,3,4,6]=>[1,7,5,3,2,4,6]=>([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,3,4,1,7,5,2]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[6,3,4,2,1,5,7]=>[1,5,7,2,3,4,6]=>[1,7,2,3,5,4,6]=>([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[6,3,4,2,1,7,5]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[6,3,4,2,5,1,7]=>[1,7,2,5,3,4,6]=>[1,7,5,3,2,4,6]=>([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,3,4,2,5,7,1]=>[1,2,5,7,3,4,6]=>[1,2,7,3,5,4,6]=>([(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[6,3,4,2,7,1,5]=>[1,5,2,7,3,4,6]=>[1,5,7,3,2,4,6]=>([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[6,3,4,2,7,5,1]=>[1,2,7,3,4,5,6]=>[1,2,7,3,4,5,6]=>([(2,6),(3,6),(4,6),(5,6)],7)
[6,3,4,5,1,2,7]=>[1,2,7,3,4,5,6]=>[1,2,7,3,4,5,6]=>([(2,6),(3,6),(4,6),(5,6)],7)
[6,3,4,5,1,7,2]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[6,3,4,5,2,1,7]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[6,3,4,5,2,7,1]=>[1,2,7,3,4,5,6]=>[1,2,7,3,4,5,6]=>([(2,6),(3,6),(4,6),(5,6)],7)
[6,3,4,5,7,1,2]=>[1,2,3,4,5,7,6]=>[1,2,3,4,5,7,6]=>([(5,6)],7)
[6,3,4,5,7,2,1]=>[1,2,3,4,5,7,6]=>[1,2,3,4,5,7,6]=>([(5,6)],7)
[6,3,4,7,1,2,5]=>[1,2,5,3,4,7,6]=>[1,2,5,3,4,7,6]=>([(2,3),(4,6),(5,6)],7)
[6,3,4,7,1,5,2]=>[1,5,2,3,4,7,6]=>[1,5,2,3,4,7,6]=>([(1,2),(3,6),(4,6),(5,6)],7)
[6,3,4,7,2,1,5]=>[1,5,2,3,4,7,6]=>[1,5,2,3,4,7,6]=>([(1,2),(3,6),(4,6),(5,6)],7)
[6,3,4,7,2,5,1]=>[1,2,5,3,4,7,6]=>[1,2,5,3,4,7,6]=>([(2,3),(4,6),(5,6)],7)
[6,3,4,7,5,1,2]=>[1,2,3,4,7,5,6]=>[1,2,3,4,7,5,6]=>([(4,6),(5,6)],7)
[6,3,4,7,5,2,1]=>[1,2,3,4,7,5,6]=>[1,2,3,4,7,5,6]=>([(4,6),(5,6)],7)
[6,3,5,1,2,4,7]=>[1,2,4,7,3,5,6]=>[1,2,7,4,3,5,6]=>([(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[6,3,5,1,2,7,4]=>[1,2,7,3,5,4,6]=>[1,2,7,5,3,4,6]=>([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,3,5,1,4,2,7]=>[1,4,2,7,3,5,6]=>[1,4,7,2,3,5,6]=>([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[6,3,5,1,4,7,2]=>[1,4,7,2,3,5,6]=>[1,7,2,4,3,5,6]=>([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[6,3,5,1,7,2,4]=>[1,7,2,4,3,5,6]=>[1,7,4,2,3,5,6]=>([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,3,5,1,7,4,2]=>[1,7,2,3,5,4,6]=>[1,7,2,5,3,4,6]=>([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,3,5,2,1,4,7]=>[1,4,7,2,3,5,6]=>[1,7,2,4,3,5,6]=>([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[6,3,5,2,1,7,4]=>[1,7,2,3,5,4,6]=>[1,7,2,5,3,4,6]=>([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,3,5,2,4,1,7]=>[1,7,2,4,3,5,6]=>[1,7,4,2,3,5,6]=>([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,3,5,2,4,7,1]=>[1,2,4,7,3,5,6]=>[1,2,7,4,3,5,6]=>([(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[6,3,5,2,7,1,4]=>[1,4,2,7,3,5,6]=>[1,4,7,2,3,5,6]=>([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[6,3,5,2,7,4,1]=>[1,2,7,3,5,4,6]=>[1,2,7,5,3,4,6]=>([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,3,5,4,1,2,7]=>[1,2,7,3,5,4,6]=>[1,2,7,5,3,4,6]=>([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,3,5,4,1,7,2]=>[1,7,2,3,5,4,6]=>[1,7,2,5,3,4,6]=>([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,3,5,4,2,1,7]=>[1,7,2,3,5,4,6]=>[1,7,2,5,3,4,6]=>([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,3,5,4,2,7,1]=>[1,2,7,3,5,4,6]=>[1,2,7,5,3,4,6]=>([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,3,5,4,7,1,2]=>[1,2,3,5,4,7,6]=>[1,2,3,5,4,7,6]=>([(3,6),(4,5)],7)
[6,3,5,4,7,2,1]=>[1,2,3,5,4,7,6]=>[1,2,3,5,4,7,6]=>([(3,6),(4,5)],7)
[6,3,5,7,1,2,4]=>[1,2,4,3,5,7,6]=>[1,2,4,3,5,7,6]=>([(3,6),(4,5)],7)
[6,3,5,7,1,4,2]=>[1,4,2,3,5,7,6]=>[1,4,2,3,5,7,6]=>([(2,3),(4,6),(5,6)],7)
[6,3,5,7,2,1,4]=>[1,4,2,3,5,7,6]=>[1,4,2,3,5,7,6]=>([(2,3),(4,6),(5,6)],7)
[6,3,5,7,2,4,1]=>[1,2,4,3,5,7,6]=>[1,2,4,3,5,7,6]=>([(3,6),(4,5)],7)
[6,3,5,7,4,1,2]=>[1,2,3,5,7,4,6]=>[1,2,3,7,5,4,6]=>([(3,6),(4,5),(4,6),(5,6)],7)
[6,3,5,7,4,2,1]=>[1,2,3,5,7,4,6]=>[1,2,3,7,5,4,6]=>([(3,6),(4,5),(4,6),(5,6)],7)
[6,3,7,1,2,4,5]=>[1,2,4,5,3,7,6]=>[1,2,5,4,3,7,6]=>([(2,3),(4,5),(4,6),(5,6)],7)
[6,3,7,1,2,5,4]=>[1,2,5,3,7,4,6]=>[1,2,5,7,3,4,6]=>([(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[6,3,7,1,4,2,5]=>[1,4,2,5,3,7,6]=>[1,4,5,2,3,7,6]=>([(1,2),(3,5),(3,6),(4,5),(4,6)],7)
[6,3,7,1,4,5,2]=>[1,4,5,2,3,7,6]=>[1,5,2,4,3,7,6]=>([(1,2),(3,6),(4,5),(4,6),(5,6)],7)
[6,3,7,1,5,2,4]=>[1,5,2,4,3,7,6]=>[1,5,4,2,3,7,6]=>([(1,2),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,3,7,1,5,4,2]=>[1,5,2,3,7,4,6]=>[1,5,2,7,3,4,6]=>([(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
[6,3,7,2,1,4,5]=>[1,4,5,2,3,7,6]=>[1,5,2,4,3,7,6]=>([(1,2),(3,6),(4,5),(4,6),(5,6)],7)
[6,3,7,2,1,5,4]=>[1,5,2,3,7,4,6]=>[1,5,2,7,3,4,6]=>([(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
[6,3,7,2,4,1,5]=>[1,5,2,4,3,7,6]=>[1,5,4,2,3,7,6]=>([(1,2),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,3,7,2,4,5,1]=>[1,2,4,5,3,7,6]=>[1,2,5,4,3,7,6]=>([(2,3),(4,5),(4,6),(5,6)],7)
[6,3,7,2,5,1,4]=>[1,4,2,5,3,7,6]=>[1,4,5,2,3,7,6]=>([(1,2),(3,5),(3,6),(4,5),(4,6)],7)
[6,3,7,2,5,4,1]=>[1,2,5,3,7,4,6]=>[1,2,5,7,3,4,6]=>([(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[6,3,7,4,1,2,5]=>[1,2,5,3,7,4,6]=>[1,2,5,7,3,4,6]=>([(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[6,3,7,4,1,5,2]=>[1,5,2,3,7,4,6]=>[1,5,2,7,3,4,6]=>([(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
[6,3,7,4,2,1,5]=>[1,5,2,3,7,4,6]=>[1,5,2,7,3,4,6]=>([(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
[6,3,7,4,2,5,1]=>[1,2,5,3,7,4,6]=>[1,2,5,7,3,4,6]=>([(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[6,3,7,4,5,1,2]=>[1,2,3,7,4,5,6]=>[1,2,3,7,4,5,6]=>([(3,6),(4,6),(5,6)],7)
[6,3,7,4,5,2,1]=>[1,2,3,7,4,5,6]=>[1,2,3,7,4,5,6]=>([(3,6),(4,6),(5,6)],7)
[6,3,7,5,1,2,4]=>[1,2,4,3,7,5,6]=>[1,2,4,3,7,5,6]=>([(2,3),(4,6),(5,6)],7)
[6,3,7,5,1,4,2]=>[1,4,2,3,7,5,6]=>[1,4,2,3,7,5,6]=>([(1,6),(2,6),(3,5),(4,5)],7)
[6,3,7,5,2,1,4]=>[1,4,2,3,7,5,6]=>[1,4,2,3,7,5,6]=>([(1,6),(2,6),(3,5),(4,5)],7)
[6,3,7,5,2,4,1]=>[1,2,4,3,7,5,6]=>[1,2,4,3,7,5,6]=>([(2,3),(4,6),(5,6)],7)
[6,3,7,5,4,1,2]=>[1,2,3,7,4,5,6]=>[1,2,3,7,4,5,6]=>([(3,6),(4,6),(5,6)],7)
[6,3,7,5,4,2,1]=>[1,2,3,7,4,5,6]=>[1,2,3,7,4,5,6]=>([(3,6),(4,6),(5,6)],7)
[6,4,1,2,3,5,7]=>[1,2,3,5,7,4,6]=>[1,2,3,7,5,4,6]=>([(3,6),(4,5),(4,6),(5,6)],7)
[6,4,1,2,3,7,5]=>[1,2,3,7,4,5,6]=>[1,2,3,7,4,5,6]=>([(3,6),(4,6),(5,6)],7)
[6,4,1,2,5,3,7]=>[1,2,5,3,7,4,6]=>[1,2,5,7,3,4,6]=>([(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[6,4,1,2,5,7,3]=>[1,2,5,7,3,4,6]=>[1,2,7,3,5,4,6]=>([(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[6,4,1,2,7,3,5]=>[1,2,7,3,5,4,6]=>[1,2,7,5,3,4,6]=>([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,4,1,2,7,5,3]=>[1,2,7,3,4,5,6]=>[1,2,7,3,4,5,6]=>([(2,6),(3,6),(4,6),(5,6)],7)
[6,4,1,3,2,5,7]=>[1,3,2,5,7,4,6]=>[1,3,2,7,5,4,6]=>([(1,2),(3,6),(4,5),(4,6),(5,6)],7)
[6,4,1,3,2,7,5]=>[1,3,2,7,4,5,6]=>[1,3,2,7,4,5,6]=>([(1,2),(3,6),(4,6),(5,6)],7)
[6,4,1,3,5,2,7]=>[1,3,5,2,7,4,6]=>[1,5,3,7,2,4,6]=>([(1,6),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
[6,4,1,3,5,7,2]=>[1,3,5,7,2,4,6]=>[1,7,3,2,5,4,6]=>([(1,6),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7)
[6,4,1,3,7,2,5]=>[1,3,7,2,5,4,6]=>[1,7,3,5,2,4,6]=>([(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[6,4,1,3,7,5,2]=>[1,3,7,2,4,5,6]=>[1,7,3,2,4,5,6]=>([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[6,4,1,5,2,3,7]=>[1,5,2,3,7,4,6]=>[1,5,2,7,3,4,6]=>([(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
[6,4,1,5,2,7,3]=>[1,5,2,7,3,4,6]=>[1,5,7,3,2,4,6]=>([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[6,4,1,5,3,2,7]=>[1,5,2,7,3,4,6]=>[1,5,7,3,2,4,6]=>([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[6,4,1,5,3,7,2]=>[1,5,2,3,7,4,6]=>[1,5,2,7,3,4,6]=>([(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
[6,4,1,5,7,2,3]=>[1,5,7,2,3,4,6]=>[1,7,2,3,5,4,6]=>([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[6,4,1,5,7,3,2]=>[1,5,7,2,3,4,6]=>[1,7,2,3,5,4,6]=>([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[6,4,1,7,2,3,5]=>[1,7,2,3,5,4,6]=>[1,7,2,5,3,4,6]=>([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,4,1,7,2,5,3]=>[1,7,2,5,3,4,6]=>[1,7,5,3,2,4,6]=>([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,4,1,7,3,2,5]=>[1,7,2,5,3,4,6]=>[1,7,5,3,2,4,6]=>([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,4,1,7,3,5,2]=>[1,7,2,3,5,4,6]=>[1,7,2,5,3,4,6]=>([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,4,1,7,5,2,3]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[6,4,1,7,5,3,2]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[6,4,2,1,3,5,7]=>[1,3,5,7,2,4,6]=>[1,7,3,2,5,4,6]=>([(1,6),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7)
[6,4,2,1,3,7,5]=>[1,3,7,2,4,5,6]=>[1,7,3,2,4,5,6]=>([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[6,4,2,1,5,3,7]=>[1,5,2,3,7,4,6]=>[1,5,2,7,3,4,6]=>([(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
[6,4,2,1,5,7,3]=>[1,5,7,2,3,4,6]=>[1,7,2,3,5,4,6]=>([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[6,4,2,1,7,3,5]=>[1,7,2,3,5,4,6]=>[1,7,2,5,3,4,6]=>([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,4,2,1,7,5,3]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[6,4,2,3,1,5,7]=>[1,5,7,2,3,4,6]=>[1,7,2,3,5,4,6]=>([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[6,4,2,3,1,7,5]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[6,4,2,3,5,1,7]=>[1,7,2,3,5,4,6]=>[1,7,2,5,3,4,6]=>([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,4,2,3,5,7,1]=>[1,2,3,5,7,4,6]=>[1,2,3,7,5,4,6]=>([(3,6),(4,5),(4,6),(5,6)],7)
[6,4,2,3,7,1,5]=>[1,5,2,3,7,4,6]=>[1,5,2,7,3,4,6]=>([(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
[6,4,2,3,7,5,1]=>[1,2,3,7,4,5,6]=>[1,2,3,7,4,5,6]=>([(3,6),(4,6),(5,6)],7)
[6,4,2,5,1,3,7]=>[1,3,7,2,5,4,6]=>[1,7,3,5,2,4,6]=>([(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[6,4,2,5,1,7,3]=>[1,7,2,5,3,4,6]=>[1,7,5,3,2,4,6]=>([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,4,2,5,3,1,7]=>[1,7,2,5,3,4,6]=>[1,7,5,3,2,4,6]=>([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,4,2,5,3,7,1]=>[1,2,5,3,7,4,6]=>[1,2,5,7,3,4,6]=>([(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[6,4,2,5,7,1,3]=>[1,3,2,5,7,4,6]=>[1,3,2,7,5,4,6]=>([(1,2),(3,6),(4,5),(4,6),(5,6)],7)
[6,4,2,5,7,3,1]=>[1,2,5,7,3,4,6]=>[1,2,7,3,5,4,6]=>([(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[6,4,2,7,1,3,5]=>[1,3,5,2,7,4,6]=>[1,5,3,7,2,4,6]=>([(1,6),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
[6,4,2,7,1,5,3]=>[1,5,2,7,3,4,6]=>[1,5,7,3,2,4,6]=>([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[6,4,2,7,3,1,5]=>[1,5,2,7,3,4,6]=>[1,5,7,3,2,4,6]=>([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[6,4,2,7,3,5,1]=>[1,2,7,3,5,4,6]=>[1,2,7,5,3,4,6]=>([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,4,2,7,5,1,3]=>[1,3,2,7,4,5,6]=>[1,3,2,7,4,5,6]=>([(1,2),(3,6),(4,6),(5,6)],7)
[6,4,2,7,5,3,1]=>[1,2,7,3,4,5,6]=>[1,2,7,3,4,5,6]=>([(2,6),(3,6),(4,6),(5,6)],7)
[6,4,3,1,2,5,7]=>[1,2,5,7,3,4,6]=>[1,2,7,3,5,4,6]=>([(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[6,4,3,1,2,7,5]=>[1,2,7,3,4,5,6]=>[1,2,7,3,4,5,6]=>([(2,6),(3,6),(4,6),(5,6)],7)
[6,4,3,1,5,2,7]=>[1,5,2,7,3,4,6]=>[1,5,7,3,2,4,6]=>([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[6,4,3,1,5,7,2]=>[1,5,7,2,3,4,6]=>[1,7,2,3,5,4,6]=>([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[6,4,3,1,7,2,5]=>[1,7,2,5,3,4,6]=>[1,7,5,3,2,4,6]=>([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,4,3,1,7,5,2]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[6,4,3,2,1,5,7]=>[1,5,7,2,3,4,6]=>[1,7,2,3,5,4,6]=>([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[6,4,3,2,1,7,5]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[6,4,3,2,5,1,7]=>[1,7,2,5,3,4,6]=>[1,7,5,3,2,4,6]=>([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,4,3,2,5,7,1]=>[1,2,5,7,3,4,6]=>[1,2,7,3,5,4,6]=>([(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[6,4,3,2,7,1,5]=>[1,5,2,7,3,4,6]=>[1,5,7,3,2,4,6]=>([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[6,4,3,2,7,5,1]=>[1,2,7,3,4,5,6]=>[1,2,7,3,4,5,6]=>([(2,6),(3,6),(4,6),(5,6)],7)
[6,4,3,5,1,2,7]=>[1,2,7,3,5,4,6]=>[1,2,7,5,3,4,6]=>([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,4,3,5,1,7,2]=>[1,7,2,3,5,4,6]=>[1,7,2,5,3,4,6]=>([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,4,3,5,2,1,7]=>[1,7,2,3,5,4,6]=>[1,7,2,5,3,4,6]=>([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,4,3,5,2,7,1]=>[1,2,7,3,5,4,6]=>[1,2,7,5,3,4,6]=>([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,4,3,5,7,1,2]=>[1,2,3,5,7,4,6]=>[1,2,3,7,5,4,6]=>([(3,6),(4,5),(4,6),(5,6)],7)
[6,4,3,5,7,2,1]=>[1,2,3,5,7,4,6]=>[1,2,3,7,5,4,6]=>([(3,6),(4,5),(4,6),(5,6)],7)
[6,4,3,7,1,2,5]=>[1,2,5,3,7,4,6]=>[1,2,5,7,3,4,6]=>([(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[6,4,3,7,1,5,2]=>[1,5,2,3,7,4,6]=>[1,5,2,7,3,4,6]=>([(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
[6,4,3,7,2,1,5]=>[1,5,2,3,7,4,6]=>[1,5,2,7,3,4,6]=>([(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
[6,4,3,7,2,5,1]=>[1,2,5,3,7,4,6]=>[1,2,5,7,3,4,6]=>([(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[6,4,3,7,5,1,2]=>[1,2,3,7,4,5,6]=>[1,2,3,7,4,5,6]=>([(3,6),(4,6),(5,6)],7)
[6,4,3,7,5,2,1]=>[1,2,3,7,4,5,6]=>[1,2,3,7,4,5,6]=>([(3,6),(4,6),(5,6)],7)
[6,4,5,1,2,3,7]=>[1,2,3,7,4,5,6]=>[1,2,3,7,4,5,6]=>([(3,6),(4,6),(5,6)],7)
[6,4,5,1,2,7,3]=>[1,2,7,3,4,5,6]=>[1,2,7,3,4,5,6]=>([(2,6),(3,6),(4,6),(5,6)],7)
[6,4,5,1,3,2,7]=>[1,3,2,7,4,5,6]=>[1,3,2,7,4,5,6]=>([(1,2),(3,6),(4,6),(5,6)],7)
[6,4,5,1,3,7,2]=>[1,3,7,2,4,5,6]=>[1,7,3,2,4,5,6]=>([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[6,4,5,1,7,2,3]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[6,4,5,1,7,3,2]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[6,4,5,2,1,3,7]=>[1,3,7,2,4,5,6]=>[1,7,3,2,4,5,6]=>([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[6,4,5,2,1,7,3]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[6,4,5,2,3,1,7]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[6,4,5,2,3,7,1]=>[1,2,3,7,4,5,6]=>[1,2,3,7,4,5,6]=>([(3,6),(4,6),(5,6)],7)
[6,4,5,2,7,1,3]=>[1,3,2,7,4,5,6]=>[1,3,2,7,4,5,6]=>([(1,2),(3,6),(4,6),(5,6)],7)
[6,4,5,2,7,3,1]=>[1,2,7,3,4,5,6]=>[1,2,7,3,4,5,6]=>([(2,6),(3,6),(4,6),(5,6)],7)
[6,4,5,3,1,2,7]=>[1,2,7,3,4,5,6]=>[1,2,7,3,4,5,6]=>([(2,6),(3,6),(4,6),(5,6)],7)
[6,4,5,3,1,7,2]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[6,4,5,3,2,1,7]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[6,4,5,3,2,7,1]=>[1,2,7,3,4,5,6]=>[1,2,7,3,4,5,6]=>([(2,6),(3,6),(4,6),(5,6)],7)
[6,4,5,3,7,1,2]=>[1,2,3,7,4,5,6]=>[1,2,3,7,4,5,6]=>([(3,6),(4,6),(5,6)],7)
[6,4,5,3,7,2,1]=>[1,2,3,7,4,5,6]=>[1,2,3,7,4,5,6]=>([(3,6),(4,6),(5,6)],7)
[6,4,5,7,1,2,3]=>[1,2,3,4,5,7,6]=>[1,2,3,4,5,7,6]=>([(5,6)],7)
[6,4,5,7,1,3,2]=>[1,3,2,4,5,7,6]=>[1,3,2,4,5,7,6]=>([(3,6),(4,5)],7)
[6,4,5,7,2,1,3]=>[1,3,2,4,5,7,6]=>[1,3,2,4,5,7,6]=>([(3,6),(4,5)],7)
[6,4,5,7,2,3,1]=>[1,2,3,4,5,7,6]=>[1,2,3,4,5,7,6]=>([(5,6)],7)
[6,4,5,7,3,1,2]=>[1,2,3,4,5,7,6]=>[1,2,3,4,5,7,6]=>([(5,6)],7)
[6,4,5,7,3,2,1]=>[1,2,3,4,5,7,6]=>[1,2,3,4,5,7,6]=>([(5,6)],7)
[6,4,7,1,2,3,5]=>[1,2,3,5,4,7,6]=>[1,2,3,5,4,7,6]=>([(3,6),(4,5)],7)
[6,4,7,1,2,5,3]=>[1,2,5,3,4,7,6]=>[1,2,5,3,4,7,6]=>([(2,3),(4,6),(5,6)],7)
[6,4,7,1,3,2,5]=>[1,3,2,5,4,7,6]=>[1,3,2,5,4,7,6]=>([(1,6),(2,5),(3,4)],7)
[6,4,7,1,3,5,2]=>[1,3,5,2,4,7,6]=>[1,5,3,2,4,7,6]=>([(1,2),(3,6),(4,5),(4,6),(5,6)],7)
[6,4,7,1,5,2,3]=>[1,5,2,3,4,7,6]=>[1,5,2,3,4,7,6]=>([(1,2),(3,6),(4,6),(5,6)],7)
[6,4,7,1,5,3,2]=>[1,5,2,3,4,7,6]=>[1,5,2,3,4,7,6]=>([(1,2),(3,6),(4,6),(5,6)],7)
[6,4,7,2,1,3,5]=>[1,3,5,2,4,7,6]=>[1,5,3,2,4,7,6]=>([(1,2),(3,6),(4,5),(4,6),(5,6)],7)
[6,4,7,2,1,5,3]=>[1,5,2,3,4,7,6]=>[1,5,2,3,4,7,6]=>([(1,2),(3,6),(4,6),(5,6)],7)
[6,4,7,2,3,1,5]=>[1,5,2,3,4,7,6]=>[1,5,2,3,4,7,6]=>([(1,2),(3,6),(4,6),(5,6)],7)
[6,4,7,2,3,5,1]=>[1,2,3,5,4,7,6]=>[1,2,3,5,4,7,6]=>([(3,6),(4,5)],7)
[6,4,7,2,5,1,3]=>[1,3,2,5,4,7,6]=>[1,3,2,5,4,7,6]=>([(1,6),(2,5),(3,4)],7)
[6,4,7,2,5,3,1]=>[1,2,5,3,4,7,6]=>[1,2,5,3,4,7,6]=>([(2,3),(4,6),(5,6)],7)
[6,4,7,3,1,2,5]=>[1,2,5,3,4,7,6]=>[1,2,5,3,4,7,6]=>([(2,3),(4,6),(5,6)],7)
[6,4,7,3,1,5,2]=>[1,5,2,3,4,7,6]=>[1,5,2,3,4,7,6]=>([(1,2),(3,6),(4,6),(5,6)],7)
[6,4,7,3,2,1,5]=>[1,5,2,3,4,7,6]=>[1,5,2,3,4,7,6]=>([(1,2),(3,6),(4,6),(5,6)],7)
[6,4,7,3,2,5,1]=>[1,2,5,3,4,7,6]=>[1,2,5,3,4,7,6]=>([(2,3),(4,6),(5,6)],7)
[6,4,7,3,5,1,2]=>[1,2,3,5,4,7,6]=>[1,2,3,5,4,7,6]=>([(3,6),(4,5)],7)
[6,4,7,3,5,2,1]=>[1,2,3,5,4,7,6]=>[1,2,3,5,4,7,6]=>([(3,6),(4,5)],7)
[6,4,7,5,1,2,3]=>[1,2,3,4,7,5,6]=>[1,2,3,4,7,5,6]=>([(4,6),(5,6)],7)
[6,4,7,5,1,3,2]=>[1,3,2,4,7,5,6]=>[1,3,2,4,7,5,6]=>([(2,3),(4,6),(5,6)],7)
[6,4,7,5,2,1,3]=>[1,3,2,4,7,5,6]=>[1,3,2,4,7,5,6]=>([(2,3),(4,6),(5,6)],7)
[6,4,7,5,2,3,1]=>[1,2,3,4,7,5,6]=>[1,2,3,4,7,5,6]=>([(4,6),(5,6)],7)
[6,4,7,5,3,1,2]=>[1,2,3,4,7,5,6]=>[1,2,3,4,7,5,6]=>([(4,6),(5,6)],7)
[6,4,7,5,3,2,1]=>[1,2,3,4,7,5,6]=>[1,2,3,4,7,5,6]=>([(4,6),(5,6)],7)
[6,5,1,2,3,4,7]=>[1,2,3,4,7,5,6]=>[1,2,3,4,7,5,6]=>([(4,6),(5,6)],7)
[6,5,1,2,3,7,4]=>[1,2,3,7,4,5,6]=>[1,2,3,7,4,5,6]=>([(3,6),(4,6),(5,6)],7)
[6,5,1,2,4,3,7]=>[1,2,4,3,7,5,6]=>[1,2,4,3,7,5,6]=>([(2,3),(4,6),(5,6)],7)
[6,5,1,2,4,7,3]=>[1,2,4,7,3,5,6]=>[1,2,7,4,3,5,6]=>([(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[6,5,1,2,7,3,4]=>[1,2,7,3,4,5,6]=>[1,2,7,3,4,5,6]=>([(2,6),(3,6),(4,6),(5,6)],7)
[6,5,1,2,7,4,3]=>[1,2,7,3,4,5,6]=>[1,2,7,3,4,5,6]=>([(2,6),(3,6),(4,6),(5,6)],7)
[6,5,1,3,2,4,7]=>[1,3,2,4,7,5,6]=>[1,3,2,4,7,5,6]=>([(2,3),(4,6),(5,6)],7)
[6,5,1,3,2,7,4]=>[1,3,2,7,4,5,6]=>[1,3,2,7,4,5,6]=>([(1,2),(3,6),(4,6),(5,6)],7)
[6,5,1,3,4,2,7]=>[1,3,4,2,7,5,6]=>[1,4,3,2,7,5,6]=>([(1,6),(2,6),(3,4),(3,5),(4,5)],7)
[6,5,1,3,4,7,2]=>[1,3,4,7,2,5,6]=>[1,7,3,4,2,5,6]=>([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,5,1,3,7,2,4]=>[1,3,7,2,4,5,6]=>[1,7,3,2,4,5,6]=>([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[6,5,1,3,7,4,2]=>[1,3,7,2,4,5,6]=>[1,7,3,2,4,5,6]=>([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[6,5,1,4,2,3,7]=>[1,4,2,3,7,5,6]=>[1,4,2,3,7,5,6]=>([(1,6),(2,6),(3,5),(4,5)],7)
[6,5,1,4,2,7,3]=>[1,4,2,7,3,5,6]=>[1,4,7,2,3,5,6]=>([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[6,5,1,4,3,2,7]=>[1,4,2,7,3,5,6]=>[1,4,7,2,3,5,6]=>([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[6,5,1,4,3,7,2]=>[1,4,2,3,7,5,6]=>[1,4,2,3,7,5,6]=>([(1,6),(2,6),(3,5),(4,5)],7)
[6,5,1,4,7,2,3]=>[1,4,7,2,3,5,6]=>[1,7,2,4,3,5,6]=>([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[6,5,1,4,7,3,2]=>[1,4,7,2,3,5,6]=>[1,7,2,4,3,5,6]=>([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[6,5,1,7,2,3,4]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[6,5,1,7,2,4,3]=>[1,7,2,4,3,5,6]=>[1,7,4,2,3,5,6]=>([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,5,1,7,3,2,4]=>[1,7,2,4,3,5,6]=>[1,7,4,2,3,5,6]=>([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,5,1,7,3,4,2]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[6,5,1,7,4,2,3]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[6,5,1,7,4,3,2]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[6,5,2,1,3,4,7]=>[1,3,4,7,2,5,6]=>[1,7,3,4,2,5,6]=>([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,5,2,1,3,7,4]=>[1,3,7,2,4,5,6]=>[1,7,3,2,4,5,6]=>([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[6,5,2,1,4,3,7]=>[1,4,2,3,7,5,6]=>[1,4,2,3,7,5,6]=>([(1,6),(2,6),(3,5),(4,5)],7)
[6,5,2,1,4,7,3]=>[1,4,7,2,3,5,6]=>[1,7,2,4,3,5,6]=>([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[6,5,2,1,7,3,4]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[6,5,2,1,7,4,3]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[6,5,2,3,1,4,7]=>[1,4,7,2,3,5,6]=>[1,7,2,4,3,5,6]=>([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[6,5,2,3,1,7,4]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[6,5,2,3,4,1,7]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[6,5,2,3,4,7,1]=>[1,2,3,4,7,5,6]=>[1,2,3,4,7,5,6]=>([(4,6),(5,6)],7)
[6,5,2,3,7,1,4]=>[1,4,2,3,7,5,6]=>[1,4,2,3,7,5,6]=>([(1,6),(2,6),(3,5),(4,5)],7)
[6,5,2,3,7,4,1]=>[1,2,3,7,4,5,6]=>[1,2,3,7,4,5,6]=>([(3,6),(4,6),(5,6)],7)
[6,5,2,4,1,3,7]=>[1,3,7,2,4,5,6]=>[1,7,3,2,4,5,6]=>([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[6,5,2,4,1,7,3]=>[1,7,2,4,3,5,6]=>[1,7,4,2,3,5,6]=>([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,5,2,4,3,1,7]=>[1,7,2,4,3,5,6]=>[1,7,4,2,3,5,6]=>([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,5,2,4,3,7,1]=>[1,2,4,3,7,5,6]=>[1,2,4,3,7,5,6]=>([(2,3),(4,6),(5,6)],7)
[6,5,2,4,7,1,3]=>[1,3,2,4,7,5,6]=>[1,3,2,4,7,5,6]=>([(2,3),(4,6),(5,6)],7)
[6,5,2,4,7,3,1]=>[1,2,4,7,3,5,6]=>[1,2,7,4,3,5,6]=>([(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[6,5,2,7,1,3,4]=>[1,3,4,2,7,5,6]=>[1,4,3,2,7,5,6]=>([(1,6),(2,6),(3,4),(3,5),(4,5)],7)
[6,5,2,7,1,4,3]=>[1,4,2,7,3,5,6]=>[1,4,7,2,3,5,6]=>([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[6,5,2,7,3,1,4]=>[1,4,2,7,3,5,6]=>[1,4,7,2,3,5,6]=>([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[6,5,2,7,3,4,1]=>[1,2,7,3,4,5,6]=>[1,2,7,3,4,5,6]=>([(2,6),(3,6),(4,6),(5,6)],7)
[6,5,2,7,4,1,3]=>[1,3,2,7,4,5,6]=>[1,3,2,7,4,5,6]=>([(1,2),(3,6),(4,6),(5,6)],7)
[6,5,2,7,4,3,1]=>[1,2,7,3,4,5,6]=>[1,2,7,3,4,5,6]=>([(2,6),(3,6),(4,6),(5,6)],7)
[6,5,3,1,2,4,7]=>[1,2,4,7,3,5,6]=>[1,2,7,4,3,5,6]=>([(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[6,5,3,1,2,7,4]=>[1,2,7,3,4,5,6]=>[1,2,7,3,4,5,6]=>([(2,6),(3,6),(4,6),(5,6)],7)
[6,5,3,1,4,2,7]=>[1,4,2,7,3,5,6]=>[1,4,7,2,3,5,6]=>([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[6,5,3,1,4,7,2]=>[1,4,7,2,3,5,6]=>[1,7,2,4,3,5,6]=>([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[6,5,3,1,7,2,4]=>[1,7,2,4,3,5,6]=>[1,7,4,2,3,5,6]=>([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,5,3,1,7,4,2]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[6,5,3,2,1,4,7]=>[1,4,7,2,3,5,6]=>[1,7,2,4,3,5,6]=>([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[6,5,3,2,1,7,4]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[6,5,3,2,4,1,7]=>[1,7,2,4,3,5,6]=>[1,7,4,2,3,5,6]=>([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,5,3,2,4,7,1]=>[1,2,4,7,3,5,6]=>[1,2,7,4,3,5,6]=>([(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[6,5,3,2,7,1,4]=>[1,4,2,7,3,5,6]=>[1,4,7,2,3,5,6]=>([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[6,5,3,2,7,4,1]=>[1,2,7,3,4,5,6]=>[1,2,7,3,4,5,6]=>([(2,6),(3,6),(4,6),(5,6)],7)
[6,5,3,4,1,2,7]=>[1,2,7,3,4,5,6]=>[1,2,7,3,4,5,6]=>([(2,6),(3,6),(4,6),(5,6)],7)
[6,5,3,4,1,7,2]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[6,5,3,4,2,1,7]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[6,5,3,4,2,7,1]=>[1,2,7,3,4,5,6]=>[1,2,7,3,4,5,6]=>([(2,6),(3,6),(4,6),(5,6)],7)
[6,5,3,4,7,1,2]=>[1,2,3,4,7,5,6]=>[1,2,3,4,7,5,6]=>([(4,6),(5,6)],7)
[6,5,3,4,7,2,1]=>[1,2,3,4,7,5,6]=>[1,2,3,4,7,5,6]=>([(4,6),(5,6)],7)
[6,5,3,7,1,2,4]=>[1,2,4,3,7,5,6]=>[1,2,4,3,7,5,6]=>([(2,3),(4,6),(5,6)],7)
[6,5,3,7,1,4,2]=>[1,4,2,3,7,5,6]=>[1,4,2,3,7,5,6]=>([(1,6),(2,6),(3,5),(4,5)],7)
[6,5,3,7,2,1,4]=>[1,4,2,3,7,5,6]=>[1,4,2,3,7,5,6]=>([(1,6),(2,6),(3,5),(4,5)],7)
[6,5,3,7,2,4,1]=>[1,2,4,3,7,5,6]=>[1,2,4,3,7,5,6]=>([(2,3),(4,6),(5,6)],7)
[6,5,3,7,4,1,2]=>[1,2,3,7,4,5,6]=>[1,2,3,7,4,5,6]=>([(3,6),(4,6),(5,6)],7)
[6,5,3,7,4,2,1]=>[1,2,3,7,4,5,6]=>[1,2,3,7,4,5,6]=>([(3,6),(4,6),(5,6)],7)
[6,5,4,1,2,3,7]=>[1,2,3,7,4,5,6]=>[1,2,3,7,4,5,6]=>([(3,6),(4,6),(5,6)],7)
[6,5,4,1,2,7,3]=>[1,2,7,3,4,5,6]=>[1,2,7,3,4,5,6]=>([(2,6),(3,6),(4,6),(5,6)],7)
[6,5,4,1,3,2,7]=>[1,3,2,7,4,5,6]=>[1,3,2,7,4,5,6]=>([(1,2),(3,6),(4,6),(5,6)],7)
[6,5,4,1,3,7,2]=>[1,3,7,2,4,5,6]=>[1,7,3,2,4,5,6]=>([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[6,5,4,1,7,2,3]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[6,5,4,1,7,3,2]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[6,5,4,2,1,3,7]=>[1,3,7,2,4,5,6]=>[1,7,3,2,4,5,6]=>([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[6,5,4,2,1,7,3]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[6,5,4,2,3,1,7]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[6,5,4,2,3,7,1]=>[1,2,3,7,4,5,6]=>[1,2,3,7,4,5,6]=>([(3,6),(4,6),(5,6)],7)
[6,5,4,2,7,1,3]=>[1,3,2,7,4,5,6]=>[1,3,2,7,4,5,6]=>([(1,2),(3,6),(4,6),(5,6)],7)
[6,5,4,2,7,3,1]=>[1,2,7,3,4,5,6]=>[1,2,7,3,4,5,6]=>([(2,6),(3,6),(4,6),(5,6)],7)
[6,5,4,3,1,2,7]=>[1,2,7,3,4,5,6]=>[1,2,7,3,4,5,6]=>([(2,6),(3,6),(4,6),(5,6)],7)
[6,5,4,3,1,7,2]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[6,5,4,3,2,1,7]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[6,5,4,3,2,7,1]=>[1,2,7,3,4,5,6]=>[1,2,7,3,4,5,6]=>([(2,6),(3,6),(4,6),(5,6)],7)
[6,5,4,3,7,1,2]=>[1,2,3,7,4,5,6]=>[1,2,3,7,4,5,6]=>([(3,6),(4,6),(5,6)],7)
[6,5,4,3,7,2,1]=>[1,2,3,7,4,5,6]=>[1,2,3,7,4,5,6]=>([(3,6),(4,6),(5,6)],7)
[6,5,4,7,1,2,3]=>[1,2,3,4,7,5,6]=>[1,2,3,4,7,5,6]=>([(4,6),(5,6)],7)
[6,5,4,7,1,3,2]=>[1,3,2,4,7,5,6]=>[1,3,2,4,7,5,6]=>([(2,3),(4,6),(5,6)],7)
[6,5,4,7,2,1,3]=>[1,3,2,4,7,5,6]=>[1,3,2,4,7,5,6]=>([(2,3),(4,6),(5,6)],7)
[6,5,4,7,2,3,1]=>[1,2,3,4,7,5,6]=>[1,2,3,4,7,5,6]=>([(4,6),(5,6)],7)
[6,5,4,7,3,1,2]=>[1,2,3,4,7,5,6]=>[1,2,3,4,7,5,6]=>([(4,6),(5,6)],7)
[6,5,4,7,3,2,1]=>[1,2,3,4,7,5,6]=>[1,2,3,4,7,5,6]=>([(4,6),(5,6)],7)
[6,5,7,1,2,3,4]=>[1,2,3,4,5,7,6]=>[1,2,3,4,5,7,6]=>([(5,6)],7)
[6,5,7,1,2,4,3]=>[1,2,4,3,5,7,6]=>[1,2,4,3,5,7,6]=>([(3,6),(4,5)],7)
[6,5,7,1,3,2,4]=>[1,3,2,4,5,7,6]=>[1,3,2,4,5,7,6]=>([(3,6),(4,5)],7)
[6,5,7,1,3,4,2]=>[1,3,4,2,5,7,6]=>[1,4,3,2,5,7,6]=>([(2,3),(4,5),(4,6),(5,6)],7)
[6,5,7,1,4,2,3]=>[1,4,2,3,5,7,6]=>[1,4,2,3,5,7,6]=>([(2,3),(4,6),(5,6)],7)
[6,5,7,1,4,3,2]=>[1,4,2,3,5,7,6]=>[1,4,2,3,5,7,6]=>([(2,3),(4,6),(5,6)],7)
[6,5,7,2,1,3,4]=>[1,3,4,2,5,7,6]=>[1,4,3,2,5,7,6]=>([(2,3),(4,5),(4,6),(5,6)],7)
[6,5,7,2,1,4,3]=>[1,4,2,3,5,7,6]=>[1,4,2,3,5,7,6]=>([(2,3),(4,6),(5,6)],7)
[6,5,7,2,3,1,4]=>[1,4,2,3,5,7,6]=>[1,4,2,3,5,7,6]=>([(2,3),(4,6),(5,6)],7)
[6,5,7,2,3,4,1]=>[1,2,3,4,5,7,6]=>[1,2,3,4,5,7,6]=>([(5,6)],7)
[6,5,7,2,4,1,3]=>[1,3,2,4,5,7,6]=>[1,3,2,4,5,7,6]=>([(3,6),(4,5)],7)
[6,5,7,2,4,3,1]=>[1,2,4,3,5,7,6]=>[1,2,4,3,5,7,6]=>([(3,6),(4,5)],7)
[6,5,7,3,1,2,4]=>[1,2,4,3,5,7,6]=>[1,2,4,3,5,7,6]=>([(3,6),(4,5)],7)
[6,5,7,3,1,4,2]=>[1,4,2,3,5,7,6]=>[1,4,2,3,5,7,6]=>([(2,3),(4,6),(5,6)],7)
[6,5,7,3,2,1,4]=>[1,4,2,3,5,7,6]=>[1,4,2,3,5,7,6]=>([(2,3),(4,6),(5,6)],7)
[6,5,7,3,2,4,1]=>[1,2,4,3,5,7,6]=>[1,2,4,3,5,7,6]=>([(3,6),(4,5)],7)
[6,5,7,3,4,1,2]=>[1,2,3,4,5,7,6]=>[1,2,3,4,5,7,6]=>([(5,6)],7)
[6,5,7,3,4,2,1]=>[1,2,3,4,5,7,6]=>[1,2,3,4,5,7,6]=>([(5,6)],7)
[6,5,7,4,1,2,3]=>[1,2,3,4,5,7,6]=>[1,2,3,4,5,7,6]=>([(5,6)],7)
[6,5,7,4,1,3,2]=>[1,3,2,4,5,7,6]=>[1,3,2,4,5,7,6]=>([(3,6),(4,5)],7)
[6,5,7,4,2,1,3]=>[1,3,2,4,5,7,6]=>[1,3,2,4,5,7,6]=>([(3,6),(4,5)],7)
[6,5,7,4,2,3,1]=>[1,2,3,4,5,7,6]=>[1,2,3,4,5,7,6]=>([(5,6)],7)
[6,5,7,4,3,1,2]=>[1,2,3,4,5,7,6]=>[1,2,3,4,5,7,6]=>([(5,6)],7)
[6,5,7,4,3,2,1]=>[1,2,3,4,5,7,6]=>[1,2,3,4,5,7,6]=>([(5,6)],7)
[6,7,1,2,3,4,5]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>([],7)
[6,7,1,2,3,5,4]=>[1,2,3,5,4,6,7]=>[1,2,3,5,4,6,7]=>([(5,6)],7)
[6,7,1,2,4,3,5]=>[1,2,4,3,5,6,7]=>[1,2,4,3,5,6,7]=>([(5,6)],7)
[6,7,1,2,4,5,3]=>[1,2,4,5,3,6,7]=>[1,2,5,4,3,6,7]=>([(4,5),(4,6),(5,6)],7)
[6,7,1,2,5,3,4]=>[1,2,5,3,4,6,7]=>[1,2,5,3,4,6,7]=>([(4,6),(5,6)],7)
[6,7,1,2,5,4,3]=>[1,2,5,3,4,6,7]=>[1,2,5,3,4,6,7]=>([(4,6),(5,6)],7)
[6,7,1,3,2,4,5]=>[1,3,2,4,5,6,7]=>[1,3,2,4,5,6,7]=>([(5,6)],7)
[6,7,1,3,2,5,4]=>[1,3,2,5,4,6,7]=>[1,3,2,5,4,6,7]=>([(3,6),(4,5)],7)
[6,7,1,3,4,2,5]=>[1,3,4,2,5,6,7]=>[1,4,3,2,5,6,7]=>([(4,5),(4,6),(5,6)],7)
[6,7,1,3,4,5,2]=>[1,3,4,5,2,6,7]=>[1,5,3,4,2,6,7]=>([(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,7,1,3,5,2,4]=>[1,3,5,2,4,6,7]=>[1,5,3,2,4,6,7]=>([(3,6),(4,5),(4,6),(5,6)],7)
[6,7,1,3,5,4,2]=>[1,3,5,2,4,6,7]=>[1,5,3,2,4,6,7]=>([(3,6),(4,5),(4,6),(5,6)],7)
[6,7,1,4,2,3,5]=>[1,4,2,3,5,6,7]=>[1,4,2,3,5,6,7]=>([(4,6),(5,6)],7)
[6,7,1,4,2,5,3]=>[1,4,2,5,3,6,7]=>[1,4,5,2,3,6,7]=>([(3,5),(3,6),(4,5),(4,6)],7)
[6,7,1,4,3,2,5]=>[1,4,2,5,3,6,7]=>[1,4,5,2,3,6,7]=>([(3,5),(3,6),(4,5),(4,6)],7)
[6,7,1,4,3,5,2]=>[1,4,2,3,5,6,7]=>[1,4,2,3,5,6,7]=>([(4,6),(5,6)],7)
[6,7,1,4,5,2,3]=>[1,4,5,2,3,6,7]=>[1,5,2,4,3,6,7]=>([(3,6),(4,5),(4,6),(5,6)],7)
[6,7,1,4,5,3,2]=>[1,4,5,2,3,6,7]=>[1,5,2,4,3,6,7]=>([(3,6),(4,5),(4,6),(5,6)],7)
[6,7,1,5,2,3,4]=>[1,5,2,3,4,6,7]=>[1,5,2,3,4,6,7]=>([(3,6),(4,6),(5,6)],7)
[6,7,1,5,2,4,3]=>[1,5,2,4,3,6,7]=>[1,5,4,2,3,6,7]=>([(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,7,1,5,3,2,4]=>[1,5,2,4,3,6,7]=>[1,5,4,2,3,6,7]=>([(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,7,1,5,3,4,2]=>[1,5,2,3,4,6,7]=>[1,5,2,3,4,6,7]=>([(3,6),(4,6),(5,6)],7)
[6,7,1,5,4,2,3]=>[1,5,2,3,4,6,7]=>[1,5,2,3,4,6,7]=>([(3,6),(4,6),(5,6)],7)
[6,7,1,5,4,3,2]=>[1,5,2,3,4,6,7]=>[1,5,2,3,4,6,7]=>([(3,6),(4,6),(5,6)],7)
[6,7,2,1,3,4,5]=>[1,3,4,5,2,6,7]=>[1,5,3,4,2,6,7]=>([(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,7,2,1,3,5,4]=>[1,3,5,2,4,6,7]=>[1,5,3,2,4,6,7]=>([(3,6),(4,5),(4,6),(5,6)],7)
[6,7,2,1,4,3,5]=>[1,4,2,3,5,6,7]=>[1,4,2,3,5,6,7]=>([(4,6),(5,6)],7)
[6,7,2,1,4,5,3]=>[1,4,5,2,3,6,7]=>[1,5,2,4,3,6,7]=>([(3,6),(4,5),(4,6),(5,6)],7)
[6,7,2,1,5,3,4]=>[1,5,2,3,4,6,7]=>[1,5,2,3,4,6,7]=>([(3,6),(4,6),(5,6)],7)
[6,7,2,1,5,4,3]=>[1,5,2,3,4,6,7]=>[1,5,2,3,4,6,7]=>([(3,6),(4,6),(5,6)],7)
[6,7,2,3,1,4,5]=>[1,4,5,2,3,6,7]=>[1,5,2,4,3,6,7]=>([(3,6),(4,5),(4,6),(5,6)],7)
[6,7,2,3,1,5,4]=>[1,5,2,3,4,6,7]=>[1,5,2,3,4,6,7]=>([(3,6),(4,6),(5,6)],7)
[6,7,2,3,4,1,5]=>[1,5,2,3,4,6,7]=>[1,5,2,3,4,6,7]=>([(3,6),(4,6),(5,6)],7)
[6,7,2,3,4,5,1]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>([],7)
[6,7,2,3,5,1,4]=>[1,4,2,3,5,6,7]=>[1,4,2,3,5,6,7]=>([(4,6),(5,6)],7)
[6,7,2,3,5,4,1]=>[1,2,3,5,4,6,7]=>[1,2,3,5,4,6,7]=>([(5,6)],7)
[6,7,2,4,1,3,5]=>[1,3,5,2,4,6,7]=>[1,5,3,2,4,6,7]=>([(3,6),(4,5),(4,6),(5,6)],7)
[6,7,2,4,1,5,3]=>[1,5,2,4,3,6,7]=>[1,5,4,2,3,6,7]=>([(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,7,2,4,3,1,5]=>[1,5,2,4,3,6,7]=>[1,5,4,2,3,6,7]=>([(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,7,2,4,3,5,1]=>[1,2,4,3,5,6,7]=>[1,2,4,3,5,6,7]=>([(5,6)],7)
[6,7,2,4,5,1,3]=>[1,3,2,4,5,6,7]=>[1,3,2,4,5,6,7]=>([(5,6)],7)
[6,7,2,4,5,3,1]=>[1,2,4,5,3,6,7]=>[1,2,5,4,3,6,7]=>([(4,5),(4,6),(5,6)],7)
[6,7,2,5,1,3,4]=>[1,3,4,2,5,6,7]=>[1,4,3,2,5,6,7]=>([(4,5),(4,6),(5,6)],7)
[6,7,2,5,1,4,3]=>[1,4,2,5,3,6,7]=>[1,4,5,2,3,6,7]=>([(3,5),(3,6),(4,5),(4,6)],7)
[6,7,2,5,3,1,4]=>[1,4,2,5,3,6,7]=>[1,4,5,2,3,6,7]=>([(3,5),(3,6),(4,5),(4,6)],7)
[6,7,2,5,3,4,1]=>[1,2,5,3,4,6,7]=>[1,2,5,3,4,6,7]=>([(4,6),(5,6)],7)
[6,7,2,5,4,1,3]=>[1,3,2,5,4,6,7]=>[1,3,2,5,4,6,7]=>([(3,6),(4,5)],7)
[6,7,2,5,4,3,1]=>[1,2,5,3,4,6,7]=>[1,2,5,3,4,6,7]=>([(4,6),(5,6)],7)
[6,7,3,1,2,4,5]=>[1,2,4,5,3,6,7]=>[1,2,5,4,3,6,7]=>([(4,5),(4,6),(5,6)],7)
[6,7,3,1,2,5,4]=>[1,2,5,3,4,6,7]=>[1,2,5,3,4,6,7]=>([(4,6),(5,6)],7)
[6,7,3,1,4,2,5]=>[1,4,2,5,3,6,7]=>[1,4,5,2,3,6,7]=>([(3,5),(3,6),(4,5),(4,6)],7)
[6,7,3,1,4,5,2]=>[1,4,5,2,3,6,7]=>[1,5,2,4,3,6,7]=>([(3,6),(4,5),(4,6),(5,6)],7)
[6,7,3,1,5,2,4]=>[1,5,2,4,3,6,7]=>[1,5,4,2,3,6,7]=>([(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,7,3,1,5,4,2]=>[1,5,2,3,4,6,7]=>[1,5,2,3,4,6,7]=>([(3,6),(4,6),(5,6)],7)
[6,7,3,2,1,4,5]=>[1,4,5,2,3,6,7]=>[1,5,2,4,3,6,7]=>([(3,6),(4,5),(4,6),(5,6)],7)
[6,7,3,2,1,5,4]=>[1,5,2,3,4,6,7]=>[1,5,2,3,4,6,7]=>([(3,6),(4,6),(5,6)],7)
[6,7,3,2,4,1,5]=>[1,5,2,4,3,6,7]=>[1,5,4,2,3,6,7]=>([(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[6,7,3,2,4,5,1]=>[1,2,4,5,3,6,7]=>[1,2,5,4,3,6,7]=>([(4,5),(4,6),(5,6)],7)
[6,7,3,2,5,1,4]=>[1,4,2,5,3,6,7]=>[1,4,5,2,3,6,7]=>([(3,5),(3,6),(4,5),(4,6)],7)
[6,7,3,2,5,4,1]=>[1,2,5,3,4,6,7]=>[1,2,5,3,4,6,7]=>([(4,6),(5,6)],7)
[6,7,3,4,1,2,5]=>[1,2,5,3,4,6,7]=>[1,2,5,3,4,6,7]=>([(4,6),(5,6)],7)
[6,7,3,4,1,5,2]=>[1,5,2,3,4,6,7]=>[1,5,2,3,4,6,7]=>([(3,6),(4,6),(5,6)],7)
[6,7,3,4,2,1,5]=>[1,5,2,3,4,6,7]=>[1,5,2,3,4,6,7]=>([(3,6),(4,6),(5,6)],7)
[6,7,3,4,2,5,1]=>[1,2,5,3,4,6,7]=>[1,2,5,3,4,6,7]=>([(4,6),(5,6)],7)
[6,7,3,4,5,1,2]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>([],7)
[6,7,3,4,5,2,1]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>([],7)
[6,7,3,5,1,2,4]=>[1,2,4,3,5,6,7]=>[1,2,4,3,5,6,7]=>([(5,6)],7)
[6,7,3,5,1,4,2]=>[1,4,2,3,5,6,7]=>[1,4,2,3,5,6,7]=>([(4,6),(5,6)],7)
[6,7,3,5,2,1,4]=>[1,4,2,3,5,6,7]=>[1,4,2,3,5,6,7]=>([(4,6),(5,6)],7)
[6,7,3,5,2,4,1]=>[1,2,4,3,5,6,7]=>[1,2,4,3,5,6,7]=>([(5,6)],7)
[6,7,3,5,4,1,2]=>[1,2,3,5,4,6,7]=>[1,2,3,5,4,6,7]=>([(5,6)],7)
[6,7,3,5,4,2,1]=>[1,2,3,5,4,6,7]=>[1,2,3,5,4,6,7]=>([(5,6)],7)
[6,7,4,1,2,3,5]=>[1,2,3,5,4,6,7]=>[1,2,3,5,4,6,7]=>([(5,6)],7)
[6,7,4,1,2,5,3]=>[1,2,5,3,4,6,7]=>[1,2,5,3,4,6,7]=>([(4,6),(5,6)],7)
[6,7,4,1,3,2,5]=>[1,3,2,5,4,6,7]=>[1,3,2,5,4,6,7]=>([(3,6),(4,5)],7)
[6,7,4,1,3,5,2]=>[1,3,5,2,4,6,7]=>[1,5,3,2,4,6,7]=>([(3,6),(4,5),(4,6),(5,6)],7)
[6,7,4,1,5,2,3]=>[1,5,2,3,4,6,7]=>[1,5,2,3,4,6,7]=>([(3,6),(4,6),(5,6)],7)
[6,7,4,1,5,3,2]=>[1,5,2,3,4,6,7]=>[1,5,2,3,4,6,7]=>([(3,6),(4,6),(5,6)],7)
[6,7,4,2,1,3,5]=>[1,3,5,2,4,6,7]=>[1,5,3,2,4,6,7]=>([(3,6),(4,5),(4,6),(5,6)],7)
[6,7,4,2,1,5,3]=>[1,5,2,3,4,6,7]=>[1,5,2,3,4,6,7]=>([(3,6),(4,6),(5,6)],7)
[6,7,4,2,3,1,5]=>[1,5,2,3,4,6,7]=>[1,5,2,3,4,6,7]=>([(3,6),(4,6),(5,6)],7)
[6,7,4,2,3,5,1]=>[1,2,3,5,4,6,7]=>[1,2,3,5,4,6,7]=>([(5,6)],7)
[6,7,4,2,5,1,3]=>[1,3,2,5,4,6,7]=>[1,3,2,5,4,6,7]=>([(3,6),(4,5)],7)
[6,7,4,2,5,3,1]=>[1,2,5,3,4,6,7]=>[1,2,5,3,4,6,7]=>([(4,6),(5,6)],7)
[6,7,4,3,1,2,5]=>[1,2,5,3,4,6,7]=>[1,2,5,3,4,6,7]=>([(4,6),(5,6)],7)
[6,7,4,3,1,5,2]=>[1,5,2,3,4,6,7]=>[1,5,2,3,4,6,7]=>([(3,6),(4,6),(5,6)],7)
[6,7,4,3,2,1,5]=>[1,5,2,3,4,6,7]=>[1,5,2,3,4,6,7]=>([(3,6),(4,6),(5,6)],7)
[6,7,4,3,2,5,1]=>[1,2,5,3,4,6,7]=>[1,2,5,3,4,6,7]=>([(4,6),(5,6)],7)
[6,7,4,3,5,1,2]=>[1,2,3,5,4,6,7]=>[1,2,3,5,4,6,7]=>([(5,6)],7)
[6,7,4,3,5,2,1]=>[1,2,3,5,4,6,7]=>[1,2,3,5,4,6,7]=>([(5,6)],7)
[6,7,4,5,1,2,3]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>([],7)
[6,7,4,5,1,3,2]=>[1,3,2,4,5,6,7]=>[1,3,2,4,5,6,7]=>([(5,6)],7)
[6,7,4,5,2,1,3]=>[1,3,2,4,5,6,7]=>[1,3,2,4,5,6,7]=>([(5,6)],7)
[6,7,4,5,2,3,1]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>([],7)
[6,7,4,5,3,1,2]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>([],7)
[6,7,4,5,3,2,1]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>([],7)
[6,7,5,1,2,3,4]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>([],7)
[6,7,5,1,2,4,3]=>[1,2,4,3,5,6,7]=>[1,2,4,3,5,6,7]=>([(5,6)],7)
[6,7,5,1,3,2,4]=>[1,3,2,4,5,6,7]=>[1,3,2,4,5,6,7]=>([(5,6)],7)
[6,7,5,1,3,4,2]=>[1,3,4,2,5,6,7]=>[1,4,3,2,5,6,7]=>([(4,5),(4,6),(5,6)],7)
[6,7,5,1,4,2,3]=>[1,4,2,3,5,6,7]=>[1,4,2,3,5,6,7]=>([(4,6),(5,6)],7)
[6,7,5,1,4,3,2]=>[1,4,2,3,5,6,7]=>[1,4,2,3,5,6,7]=>([(4,6),(5,6)],7)
[6,7,5,2,1,3,4]=>[1,3,4,2,5,6,7]=>[1,4,3,2,5,6,7]=>([(4,5),(4,6),(5,6)],7)
[6,7,5,2,1,4,3]=>[1,4,2,3,5,6,7]=>[1,4,2,3,5,6,7]=>([(4,6),(5,6)],7)
[6,7,5,2,3,1,4]=>[1,4,2,3,5,6,7]=>[1,4,2,3,5,6,7]=>([(4,6),(5,6)],7)
[6,7,5,2,3,4,1]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>([],7)
[6,7,5,2,4,1,3]=>[1,3,2,4,5,6,7]=>[1,3,2,4,5,6,7]=>([(5,6)],7)
[6,7,5,2,4,3,1]=>[1,2,4,3,5,6,7]=>[1,2,4,3,5,6,7]=>([(5,6)],7)
[6,7,5,3,1,2,4]=>[1,2,4,3,5,6,7]=>[1,2,4,3,5,6,7]=>([(5,6)],7)
[6,7,5,3,1,4,2]=>[1,4,2,3,5,6,7]=>[1,4,2,3,5,6,7]=>([(4,6),(5,6)],7)
[6,7,5,3,2,1,4]=>[1,4,2,3,5,6,7]=>[1,4,2,3,5,6,7]=>([(4,6),(5,6)],7)
[6,7,5,3,2,4,1]=>[1,2,4,3,5,6,7]=>[1,2,4,3,5,6,7]=>([(5,6)],7)
[6,7,5,3,4,1,2]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>([],7)
[6,7,5,3,4,2,1]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>([],7)
[6,7,5,4,1,2,3]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>([],7)
[6,7,5,4,1,3,2]=>[1,3,2,4,5,6,7]=>[1,3,2,4,5,6,7]=>([(5,6)],7)
[6,7,5,4,2,1,3]=>[1,3,2,4,5,6,7]=>[1,3,2,4,5,6,7]=>([(5,6)],7)
[6,7,5,4,2,3,1]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>([],7)
[6,7,5,4,3,1,2]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>([],7)
[6,7,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>([],7)
[7,1,2,3,4,5,6]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>([],7)
[7,1,2,3,4,6,5]=>[1,2,3,4,6,5,7]=>[1,2,3,4,6,5,7]=>([(5,6)],7)
[7,1,2,3,5,4,6]=>[1,2,3,5,4,6,7]=>[1,2,3,5,4,6,7]=>([(5,6)],7)
[7,1,2,3,5,6,4]=>[1,2,3,5,6,4,7]=>[1,2,3,6,5,4,7]=>([(4,5),(4,6),(5,6)],7)
[7,1,2,3,6,4,5]=>[1,2,3,6,4,5,7]=>[1,2,3,6,4,5,7]=>([(4,6),(5,6)],7)
[7,1,2,3,6,5,4]=>[1,2,3,6,4,5,7]=>[1,2,3,6,4,5,7]=>([(4,6),(5,6)],7)
[7,1,2,4,3,5,6]=>[1,2,4,3,5,6,7]=>[1,2,4,3,5,6,7]=>([(5,6)],7)
[7,1,2,4,3,6,5]=>[1,2,4,3,6,5,7]=>[1,2,4,3,6,5,7]=>([(3,6),(4,5)],7)
[7,1,2,4,5,3,6]=>[1,2,4,5,3,6,7]=>[1,2,5,4,3,6,7]=>([(4,5),(4,6),(5,6)],7)
[7,1,2,4,5,6,3]=>[1,2,4,5,6,3,7]=>[1,2,6,4,5,3,7]=>([(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,1,2,4,6,3,5]=>[1,2,4,6,3,5,7]=>[1,2,6,4,3,5,7]=>([(3,6),(4,5),(4,6),(5,6)],7)
[7,1,2,4,6,5,3]=>[1,2,4,6,3,5,7]=>[1,2,6,4,3,5,7]=>([(3,6),(4,5),(4,6),(5,6)],7)
[7,1,2,5,3,4,6]=>[1,2,5,3,4,6,7]=>[1,2,5,3,4,6,7]=>([(4,6),(5,6)],7)
[7,1,2,5,3,6,4]=>[1,2,5,3,6,4,7]=>[1,2,5,6,3,4,7]=>([(3,5),(3,6),(4,5),(4,6)],7)
[7,1,2,5,4,3,6]=>[1,2,5,3,6,4,7]=>[1,2,5,6,3,4,7]=>([(3,5),(3,6),(4,5),(4,6)],7)
[7,1,2,5,4,6,3]=>[1,2,5,3,4,6,7]=>[1,2,5,3,4,6,7]=>([(4,6),(5,6)],7)
[7,1,2,5,6,3,4]=>[1,2,5,6,3,4,7]=>[1,2,6,3,5,4,7]=>([(3,6),(4,5),(4,6),(5,6)],7)
[7,1,2,5,6,4,3]=>[1,2,5,6,3,4,7]=>[1,2,6,3,5,4,7]=>([(3,6),(4,5),(4,6),(5,6)],7)
[7,1,2,6,3,4,5]=>[1,2,6,3,4,5,7]=>[1,2,6,3,4,5,7]=>([(3,6),(4,6),(5,6)],7)
[7,1,2,6,3,5,4]=>[1,2,6,3,5,4,7]=>[1,2,6,5,3,4,7]=>([(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,1,2,6,4,3,5]=>[1,2,6,3,5,4,7]=>[1,2,6,5,3,4,7]=>([(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,1,2,6,4,5,3]=>[1,2,6,3,4,5,7]=>[1,2,6,3,4,5,7]=>([(3,6),(4,6),(5,6)],7)
[7,1,2,6,5,3,4]=>[1,2,6,3,4,5,7]=>[1,2,6,3,4,5,7]=>([(3,6),(4,6),(5,6)],7)
[7,1,2,6,5,4,3]=>[1,2,6,3,4,5,7]=>[1,2,6,3,4,5,7]=>([(3,6),(4,6),(5,6)],7)
[7,1,3,2,4,5,6]=>[1,3,2,4,5,6,7]=>[1,3,2,4,5,6,7]=>([(5,6)],7)
[7,1,3,2,4,6,5]=>[1,3,2,4,6,5,7]=>[1,3,2,4,6,5,7]=>([(3,6),(4,5)],7)
[7,1,3,2,5,4,6]=>[1,3,2,5,4,6,7]=>[1,3,2,5,4,6,7]=>([(3,6),(4,5)],7)
[7,1,3,2,5,6,4]=>[1,3,2,5,6,4,7]=>[1,3,2,6,5,4,7]=>([(2,3),(4,5),(4,6),(5,6)],7)
[7,1,3,2,6,4,5]=>[1,3,2,6,4,5,7]=>[1,3,2,6,4,5,7]=>([(2,3),(4,6),(5,6)],7)
[7,1,3,2,6,5,4]=>[1,3,2,6,4,5,7]=>[1,3,2,6,4,5,7]=>([(2,3),(4,6),(5,6)],7)
[7,1,3,4,2,5,6]=>[1,3,4,2,5,6,7]=>[1,4,3,2,5,6,7]=>([(4,5),(4,6),(5,6)],7)
[7,1,3,4,2,6,5]=>[1,3,4,2,6,5,7]=>[1,4,3,2,6,5,7]=>([(2,3),(4,5),(4,6),(5,6)],7)
[7,1,3,4,5,2,6]=>[1,3,4,5,2,6,7]=>[1,5,3,4,2,6,7]=>([(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,1,3,4,5,6,2]=>[1,3,4,5,6,2,7]=>[1,6,3,4,5,2,7]=>([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,1,3,4,6,2,5]=>[1,3,4,6,2,5,7]=>[1,6,3,4,2,5,7]=>([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,1,3,4,6,5,2]=>[1,3,4,6,2,5,7]=>[1,6,3,4,2,5,7]=>([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,1,3,5,2,4,6]=>[1,3,5,2,4,6,7]=>[1,5,3,2,4,6,7]=>([(3,6),(4,5),(4,6),(5,6)],7)
[7,1,3,5,2,6,4]=>[1,3,5,2,6,4,7]=>[1,5,3,6,2,4,7]=>([(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7)
[7,1,3,5,4,2,6]=>[1,3,5,2,6,4,7]=>[1,5,3,6,2,4,7]=>([(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7)
[7,1,3,5,4,6,2]=>[1,3,5,2,4,6,7]=>[1,5,3,2,4,6,7]=>([(3,6),(4,5),(4,6),(5,6)],7)
[7,1,3,5,6,2,4]=>[1,3,5,6,2,4,7]=>[1,6,3,2,5,4,7]=>([(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7)
[7,1,3,5,6,4,2]=>[1,3,5,6,2,4,7]=>[1,6,3,2,5,4,7]=>([(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7)
[7,1,3,6,2,4,5]=>[1,3,6,2,4,5,7]=>[1,6,3,2,4,5,7]=>([(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[7,1,3,6,2,5,4]=>[1,3,6,2,5,4,7]=>[1,6,3,5,2,4,7]=>([(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[7,1,3,6,4,2,5]=>[1,3,6,2,5,4,7]=>[1,6,3,5,2,4,7]=>([(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[7,1,3,6,4,5,2]=>[1,3,6,2,4,5,7]=>[1,6,3,2,4,5,7]=>([(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[7,1,3,6,5,2,4]=>[1,3,6,2,4,5,7]=>[1,6,3,2,4,5,7]=>([(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[7,1,3,6,5,4,2]=>[1,3,6,2,4,5,7]=>[1,6,3,2,4,5,7]=>([(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[7,1,4,2,3,5,6]=>[1,4,2,3,5,6,7]=>[1,4,2,3,5,6,7]=>([(4,6),(5,6)],7)
[7,1,4,2,3,6,5]=>[1,4,2,3,6,5,7]=>[1,4,2,3,6,5,7]=>([(2,3),(4,6),(5,6)],7)
[7,1,4,2,5,3,6]=>[1,4,2,5,3,6,7]=>[1,4,5,2,3,6,7]=>([(3,5),(3,6),(4,5),(4,6)],7)
[7,1,4,2,5,6,3]=>[1,4,2,5,6,3,7]=>[1,4,6,2,5,3,7]=>([(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7)
[7,1,4,2,6,3,5]=>[1,4,2,6,3,5,7]=>[1,4,6,2,3,5,7]=>([(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[7,1,4,2,6,5,3]=>[1,4,2,6,3,5,7]=>[1,4,6,2,3,5,7]=>([(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[7,1,4,3,2,5,6]=>[1,4,2,5,6,3,7]=>[1,4,6,2,5,3,7]=>([(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7)
[7,1,4,3,2,6,5]=>[1,4,2,6,3,5,7]=>[1,4,6,2,3,5,7]=>([(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[7,1,4,3,5,2,6]=>[1,4,2,6,3,5,7]=>[1,4,6,2,3,5,7]=>([(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[7,1,4,3,5,6,2]=>[1,4,2,3,5,6,7]=>[1,4,2,3,5,6,7]=>([(4,6),(5,6)],7)
[7,1,4,3,6,2,5]=>[1,4,2,5,3,6,7]=>[1,4,5,2,3,6,7]=>([(3,5),(3,6),(4,5),(4,6)],7)
[7,1,4,3,6,5,2]=>[1,4,2,3,6,5,7]=>[1,4,2,3,6,5,7]=>([(2,3),(4,6),(5,6)],7)
[7,1,4,5,2,3,6]=>[1,4,5,2,3,6,7]=>[1,5,2,4,3,6,7]=>([(3,6),(4,5),(4,6),(5,6)],7)
[7,1,4,5,2,6,3]=>[1,4,5,2,6,3,7]=>[1,5,6,4,2,3,7]=>([(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[7,1,4,5,3,2,6]=>[1,4,5,2,6,3,7]=>[1,5,6,4,2,3,7]=>([(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[7,1,4,5,3,6,2]=>[1,4,5,2,3,6,7]=>[1,5,2,4,3,6,7]=>([(3,6),(4,5),(4,6),(5,6)],7)
[7,1,4,5,6,2,3]=>[1,4,5,6,2,3,7]=>[1,6,2,4,5,3,7]=>([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,1,4,5,6,3,2]=>[1,4,5,6,2,3,7]=>[1,6,2,4,5,3,7]=>([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,1,4,6,2,3,5]=>[1,4,6,2,3,5,7]=>[1,6,2,4,3,5,7]=>([(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[7,1,4,6,2,5,3]=>[1,4,6,2,5,3,7]=>[1,6,5,4,2,3,7]=>([(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,1,4,6,3,2,5]=>[1,4,6,2,5,3,7]=>[1,6,5,4,2,3,7]=>([(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,1,4,6,3,5,2]=>[1,4,6,2,3,5,7]=>[1,6,2,4,3,5,7]=>([(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[7,1,4,6,5,2,3]=>[1,4,6,2,3,5,7]=>[1,6,2,4,3,5,7]=>([(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[7,1,4,6,5,3,2]=>[1,4,6,2,3,5,7]=>[1,6,2,4,3,5,7]=>([(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[7,1,5,2,3,4,6]=>[1,5,2,3,4,6,7]=>[1,5,2,3,4,6,7]=>([(3,6),(4,6),(5,6)],7)
[7,1,5,2,3,6,4]=>[1,5,2,3,6,4,7]=>[1,5,2,6,3,4,7]=>([(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[7,1,5,2,4,3,6]=>[1,5,2,4,3,6,7]=>[1,5,4,2,3,6,7]=>([(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,1,5,2,4,6,3]=>[1,5,2,4,6,3,7]=>[1,5,6,2,4,3,7]=>([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[7,1,5,2,6,3,4]=>[1,5,2,6,3,4,7]=>[1,5,6,3,2,4,7]=>([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[7,1,5,2,6,4,3]=>[1,5,2,6,3,4,7]=>[1,5,6,3,2,4,7]=>([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[7,1,5,3,2,4,6]=>[1,5,2,4,6,3,7]=>[1,5,6,2,4,3,7]=>([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[7,1,5,3,2,6,4]=>[1,5,2,6,3,4,7]=>[1,5,6,3,2,4,7]=>([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[7,1,5,3,4,2,6]=>[1,5,2,6,3,4,7]=>[1,5,6,3,2,4,7]=>([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[7,1,5,3,4,6,2]=>[1,5,2,3,4,6,7]=>[1,5,2,3,4,6,7]=>([(3,6),(4,6),(5,6)],7)
[7,1,5,3,6,2,4]=>[1,5,2,4,3,6,7]=>[1,5,4,2,3,6,7]=>([(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,1,5,3,6,4,2]=>[1,5,2,3,6,4,7]=>[1,5,2,6,3,4,7]=>([(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[7,1,5,4,2,3,6]=>[1,5,2,3,6,4,7]=>[1,5,2,6,3,4,7]=>([(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[7,1,5,4,2,6,3]=>[1,5,2,6,3,4,7]=>[1,5,6,3,2,4,7]=>([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[7,1,5,4,3,2,6]=>[1,5,2,6,3,4,7]=>[1,5,6,3,2,4,7]=>([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[7,1,5,4,3,6,2]=>[1,5,2,3,6,4,7]=>[1,5,2,6,3,4,7]=>([(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[7,1,5,4,6,2,3]=>[1,5,2,3,4,6,7]=>[1,5,2,3,4,6,7]=>([(3,6),(4,6),(5,6)],7)
[7,1,5,4,6,3,2]=>[1,5,2,3,4,6,7]=>[1,5,2,3,4,6,7]=>([(3,6),(4,6),(5,6)],7)
[7,1,5,6,2,3,4]=>[1,5,6,2,3,4,7]=>[1,6,2,3,5,4,7]=>([(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[7,1,5,6,2,4,3]=>[1,5,6,2,4,3,7]=>[1,6,4,2,5,3,7]=>([(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[7,1,5,6,3,2,4]=>[1,5,6,2,4,3,7]=>[1,6,4,2,5,3,7]=>([(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[7,1,5,6,3,4,2]=>[1,5,6,2,3,4,7]=>[1,6,2,3,5,4,7]=>([(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[7,1,5,6,4,2,3]=>[1,5,6,2,3,4,7]=>[1,6,2,3,5,4,7]=>([(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[7,1,5,6,4,3,2]=>[1,5,6,2,3,4,7]=>[1,6,2,3,5,4,7]=>([(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[7,1,6,2,3,4,5]=>[1,6,2,3,4,5,7]=>[1,6,2,3,4,5,7]=>([(2,6),(3,6),(4,6),(5,6)],7)
[7,1,6,2,3,5,4]=>[1,6,2,3,5,4,7]=>[1,6,2,5,3,4,7]=>([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,1,6,2,4,3,5]=>[1,6,2,4,3,5,7]=>[1,6,4,2,3,5,7]=>([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,1,6,2,4,5,3]=>[1,6,2,4,5,3,7]=>[1,6,5,2,4,3,7]=>([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,1,6,2,5,3,4]=>[1,6,2,5,3,4,7]=>[1,6,5,3,2,4,7]=>([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,1,6,2,5,4,3]=>[1,6,2,5,3,4,7]=>[1,6,5,3,2,4,7]=>([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,1,6,3,2,4,5]=>[1,6,2,4,5,3,7]=>[1,6,5,2,4,3,7]=>([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,1,6,3,2,5,4]=>[1,6,2,5,3,4,7]=>[1,6,5,3,2,4,7]=>([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,1,6,3,4,2,5]=>[1,6,2,5,3,4,7]=>[1,6,5,3,2,4,7]=>([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,1,6,3,4,5,2]=>[1,6,2,3,4,5,7]=>[1,6,2,3,4,5,7]=>([(2,6),(3,6),(4,6),(5,6)],7)
[7,1,6,3,5,2,4]=>[1,6,2,4,3,5,7]=>[1,6,4,2,3,5,7]=>([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,1,6,3,5,4,2]=>[1,6,2,3,5,4,7]=>[1,6,2,5,3,4,7]=>([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,1,6,4,2,3,5]=>[1,6,2,3,5,4,7]=>[1,6,2,5,3,4,7]=>([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,1,6,4,2,5,3]=>[1,6,2,5,3,4,7]=>[1,6,5,3,2,4,7]=>([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,1,6,4,3,2,5]=>[1,6,2,5,3,4,7]=>[1,6,5,3,2,4,7]=>([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,1,6,4,3,5,2]=>[1,6,2,3,5,4,7]=>[1,6,2,5,3,4,7]=>([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,1,6,4,5,2,3]=>[1,6,2,3,4,5,7]=>[1,6,2,3,4,5,7]=>([(2,6),(3,6),(4,6),(5,6)],7)
[7,1,6,4,5,3,2]=>[1,6,2,3,4,5,7]=>[1,6,2,3,4,5,7]=>([(2,6),(3,6),(4,6),(5,6)],7)
[7,1,6,5,2,3,4]=>[1,6,2,3,4,5,7]=>[1,6,2,3,4,5,7]=>([(2,6),(3,6),(4,6),(5,6)],7)
[7,1,6,5,2,4,3]=>[1,6,2,4,3,5,7]=>[1,6,4,2,3,5,7]=>([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,1,6,5,3,2,4]=>[1,6,2,4,3,5,7]=>[1,6,4,2,3,5,7]=>([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,1,6,5,3,4,2]=>[1,6,2,3,4,5,7]=>[1,6,2,3,4,5,7]=>([(2,6),(3,6),(4,6),(5,6)],7)
[7,1,6,5,4,2,3]=>[1,6,2,3,4,5,7]=>[1,6,2,3,4,5,7]=>([(2,6),(3,6),(4,6),(5,6)],7)
[7,1,6,5,4,3,2]=>[1,6,2,3,4,5,7]=>[1,6,2,3,4,5,7]=>([(2,6),(3,6),(4,6),(5,6)],7)
[7,2,1,3,4,5,6]=>[1,3,4,5,6,2,7]=>[1,6,3,4,5,2,7]=>([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,2,1,3,4,6,5]=>[1,3,4,6,2,5,7]=>[1,6,3,4,2,5,7]=>([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,2,1,3,5,4,6]=>[1,3,5,2,4,6,7]=>[1,5,3,2,4,6,7]=>([(3,6),(4,5),(4,6),(5,6)],7)
[7,2,1,3,5,6,4]=>[1,3,5,6,2,4,7]=>[1,6,3,2,5,4,7]=>([(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7)
[7,2,1,3,6,4,5]=>[1,3,6,2,4,5,7]=>[1,6,3,2,4,5,7]=>([(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[7,2,1,3,6,5,4]=>[1,3,6,2,4,5,7]=>[1,6,3,2,4,5,7]=>([(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[7,2,1,4,3,5,6]=>[1,4,2,3,5,6,7]=>[1,4,2,3,5,6,7]=>([(4,6),(5,6)],7)
[7,2,1,4,3,6,5]=>[1,4,2,3,6,5,7]=>[1,4,2,3,6,5,7]=>([(2,3),(4,6),(5,6)],7)
[7,2,1,4,5,3,6]=>[1,4,5,2,3,6,7]=>[1,5,2,4,3,6,7]=>([(3,6),(4,5),(4,6),(5,6)],7)
[7,2,1,4,5,6,3]=>[1,4,5,6,2,3,7]=>[1,6,2,4,5,3,7]=>([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,2,1,4,6,3,5]=>[1,4,6,2,3,5,7]=>[1,6,2,4,3,5,7]=>([(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[7,2,1,4,6,5,3]=>[1,4,6,2,3,5,7]=>[1,6,2,4,3,5,7]=>([(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[7,2,1,5,3,4,6]=>[1,5,2,3,4,6,7]=>[1,5,2,3,4,6,7]=>([(3,6),(4,6),(5,6)],7)
[7,2,1,5,3,6,4]=>[1,5,2,3,6,4,7]=>[1,5,2,6,3,4,7]=>([(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[7,2,1,5,4,3,6]=>[1,5,2,3,6,4,7]=>[1,5,2,6,3,4,7]=>([(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[7,2,1,5,4,6,3]=>[1,5,2,3,4,6,7]=>[1,5,2,3,4,6,7]=>([(3,6),(4,6),(5,6)],7)
[7,2,1,5,6,3,4]=>[1,5,6,2,3,4,7]=>[1,6,2,3,5,4,7]=>([(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[7,2,1,5,6,4,3]=>[1,5,6,2,3,4,7]=>[1,6,2,3,5,4,7]=>([(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[7,2,1,6,3,4,5]=>[1,6,2,3,4,5,7]=>[1,6,2,3,4,5,7]=>([(2,6),(3,6),(4,6),(5,6)],7)
[7,2,1,6,3,5,4]=>[1,6,2,3,5,4,7]=>[1,6,2,5,3,4,7]=>([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,2,1,6,4,3,5]=>[1,6,2,3,5,4,7]=>[1,6,2,5,3,4,7]=>([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,2,1,6,4,5,3]=>[1,6,2,3,4,5,7]=>[1,6,2,3,4,5,7]=>([(2,6),(3,6),(4,6),(5,6)],7)
[7,2,1,6,5,3,4]=>[1,6,2,3,4,5,7]=>[1,6,2,3,4,5,7]=>([(2,6),(3,6),(4,6),(5,6)],7)
[7,2,1,6,5,4,3]=>[1,6,2,3,4,5,7]=>[1,6,2,3,4,5,7]=>([(2,6),(3,6),(4,6),(5,6)],7)
[7,2,3,1,4,5,6]=>[1,4,5,6,2,3,7]=>[1,6,2,4,5,3,7]=>([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,2,3,1,4,6,5]=>[1,4,6,2,3,5,7]=>[1,6,2,4,3,5,7]=>([(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[7,2,3,1,5,4,6]=>[1,5,2,3,4,6,7]=>[1,5,2,3,4,6,7]=>([(3,6),(4,6),(5,6)],7)
[7,2,3,1,5,6,4]=>[1,5,6,2,3,4,7]=>[1,6,2,3,5,4,7]=>([(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[7,2,3,1,6,4,5]=>[1,6,2,3,4,5,7]=>[1,6,2,3,4,5,7]=>([(2,6),(3,6),(4,6),(5,6)],7)
[7,2,3,1,6,5,4]=>[1,6,2,3,4,5,7]=>[1,6,2,3,4,5,7]=>([(2,6),(3,6),(4,6),(5,6)],7)
[7,2,3,4,1,5,6]=>[1,5,6,2,3,4,7]=>[1,6,2,3,5,4,7]=>([(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[7,2,3,4,1,6,5]=>[1,6,2,3,4,5,7]=>[1,6,2,3,4,5,7]=>([(2,6),(3,6),(4,6),(5,6)],7)
[7,2,3,4,5,1,6]=>[1,6,2,3,4,5,7]=>[1,6,2,3,4,5,7]=>([(2,6),(3,6),(4,6),(5,6)],7)
[7,2,3,4,5,6,1]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>([],7)
[7,2,3,4,6,1,5]=>[1,5,2,3,4,6,7]=>[1,5,2,3,4,6,7]=>([(3,6),(4,6),(5,6)],7)
[7,2,3,4,6,5,1]=>[1,2,3,4,6,5,7]=>[1,2,3,4,6,5,7]=>([(5,6)],7)
[7,2,3,5,1,4,6]=>[1,4,6,2,3,5,7]=>[1,6,2,4,3,5,7]=>([(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[7,2,3,5,1,6,4]=>[1,6,2,3,5,4,7]=>[1,6,2,5,3,4,7]=>([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,2,3,5,4,1,6]=>[1,6,2,3,5,4,7]=>[1,6,2,5,3,4,7]=>([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,2,3,5,4,6,1]=>[1,2,3,5,4,6,7]=>[1,2,3,5,4,6,7]=>([(5,6)],7)
[7,2,3,5,6,1,4]=>[1,4,2,3,5,6,7]=>[1,4,2,3,5,6,7]=>([(4,6),(5,6)],7)
[7,2,3,5,6,4,1]=>[1,2,3,5,6,4,7]=>[1,2,3,6,5,4,7]=>([(4,5),(4,6),(5,6)],7)
[7,2,3,6,1,4,5]=>[1,4,5,2,3,6,7]=>[1,5,2,4,3,6,7]=>([(3,6),(4,5),(4,6),(5,6)],7)
[7,2,3,6,1,5,4]=>[1,5,2,3,6,4,7]=>[1,5,2,6,3,4,7]=>([(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[7,2,3,6,4,1,5]=>[1,5,2,3,6,4,7]=>[1,5,2,6,3,4,7]=>([(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[7,2,3,6,4,5,1]=>[1,2,3,6,4,5,7]=>[1,2,3,6,4,5,7]=>([(4,6),(5,6)],7)
[7,2,3,6,5,1,4]=>[1,4,2,3,6,5,7]=>[1,4,2,3,6,5,7]=>([(2,3),(4,6),(5,6)],7)
[7,2,3,6,5,4,1]=>[1,2,3,6,4,5,7]=>[1,2,3,6,4,5,7]=>([(4,6),(5,6)],7)
[7,2,4,1,3,5,6]=>[1,3,5,6,2,4,7]=>[1,6,3,2,5,4,7]=>([(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7)
[7,2,4,1,3,6,5]=>[1,3,6,2,4,5,7]=>[1,6,3,2,4,5,7]=>([(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[7,2,4,1,5,3,6]=>[1,5,2,4,3,6,7]=>[1,5,4,2,3,6,7]=>([(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,2,4,1,5,6,3]=>[1,5,6,2,4,3,7]=>[1,6,4,2,5,3,7]=>([(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[7,2,4,1,6,3,5]=>[1,6,2,4,3,5,7]=>[1,6,4,2,3,5,7]=>([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,2,4,1,6,5,3]=>[1,6,2,4,3,5,7]=>[1,6,4,2,3,5,7]=>([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,2,4,3,1,5,6]=>[1,5,6,2,4,3,7]=>[1,6,4,2,5,3,7]=>([(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[7,2,4,3,1,6,5]=>[1,6,2,4,3,5,7]=>[1,6,4,2,3,5,7]=>([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,2,4,3,5,1,6]=>[1,6,2,4,3,5,7]=>[1,6,4,2,3,5,7]=>([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,2,4,3,5,6,1]=>[1,2,4,3,5,6,7]=>[1,2,4,3,5,6,7]=>([(5,6)],7)
[7,2,4,3,6,1,5]=>[1,5,2,4,3,6,7]=>[1,5,4,2,3,6,7]=>([(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,2,4,3,6,5,1]=>[1,2,4,3,6,5,7]=>[1,2,4,3,6,5,7]=>([(3,6),(4,5)],7)
[7,2,4,5,1,3,6]=>[1,3,6,2,4,5,7]=>[1,6,3,2,4,5,7]=>([(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[7,2,4,5,1,6,3]=>[1,6,2,4,5,3,7]=>[1,6,5,2,4,3,7]=>([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,2,4,5,3,1,6]=>[1,6,2,4,5,3,7]=>[1,6,5,2,4,3,7]=>([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,2,4,5,3,6,1]=>[1,2,4,5,3,6,7]=>[1,2,5,4,3,6,7]=>([(4,5),(4,6),(5,6)],7)
[7,2,4,5,6,1,3]=>[1,3,2,4,5,6,7]=>[1,3,2,4,5,6,7]=>([(5,6)],7)
[7,2,4,5,6,3,1]=>[1,2,4,5,6,3,7]=>[1,2,6,4,5,3,7]=>([(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,2,4,6,1,3,5]=>[1,3,5,2,4,6,7]=>[1,5,3,2,4,6,7]=>([(3,6),(4,5),(4,6),(5,6)],7)
[7,2,4,6,1,5,3]=>[1,5,2,4,6,3,7]=>[1,5,6,2,4,3,7]=>([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[7,2,4,6,3,1,5]=>[1,5,2,4,6,3,7]=>[1,5,6,2,4,3,7]=>([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[7,2,4,6,3,5,1]=>[1,2,4,6,3,5,7]=>[1,2,6,4,3,5,7]=>([(3,6),(4,5),(4,6),(5,6)],7)
[7,2,4,6,5,1,3]=>[1,3,2,4,6,5,7]=>[1,3,2,4,6,5,7]=>([(3,6),(4,5)],7)
[7,2,4,6,5,3,1]=>[1,2,4,6,3,5,7]=>[1,2,6,4,3,5,7]=>([(3,6),(4,5),(4,6),(5,6)],7)
[7,2,5,1,3,4,6]=>[1,3,4,6,2,5,7]=>[1,6,3,4,2,5,7]=>([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,2,5,1,3,6,4]=>[1,3,6,2,5,4,7]=>[1,6,3,5,2,4,7]=>([(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[7,2,5,1,4,3,6]=>[1,4,2,5,3,6,7]=>[1,4,5,2,3,6,7]=>([(3,5),(3,6),(4,5),(4,6)],7)
[7,2,5,1,4,6,3]=>[1,4,6,2,5,3,7]=>[1,6,5,4,2,3,7]=>([(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,2,5,1,6,3,4]=>[1,6,2,5,3,4,7]=>[1,6,5,3,2,4,7]=>([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,2,5,1,6,4,3]=>[1,6,2,5,3,4,7]=>[1,6,5,3,2,4,7]=>([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,2,5,3,1,4,6]=>[1,4,6,2,5,3,7]=>[1,6,5,4,2,3,7]=>([(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,2,5,3,1,6,4]=>[1,6,2,5,3,4,7]=>[1,6,5,3,2,4,7]=>([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,2,5,3,4,1,6]=>[1,6,2,5,3,4,7]=>[1,6,5,3,2,4,7]=>([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,2,5,3,4,6,1]=>[1,2,5,3,4,6,7]=>[1,2,5,3,4,6,7]=>([(4,6),(5,6)],7)
[7,2,5,3,6,1,4]=>[1,4,2,5,3,6,7]=>[1,4,5,2,3,6,7]=>([(3,5),(3,6),(4,5),(4,6)],7)
[7,2,5,3,6,4,1]=>[1,2,5,3,6,4,7]=>[1,2,5,6,3,4,7]=>([(3,5),(3,6),(4,5),(4,6)],7)
[7,2,5,4,1,3,6]=>[1,3,6,2,5,4,7]=>[1,6,3,5,2,4,7]=>([(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[7,2,5,4,1,6,3]=>[1,6,2,5,3,4,7]=>[1,6,5,3,2,4,7]=>([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,2,5,4,3,1,6]=>[1,6,2,5,3,4,7]=>[1,6,5,3,2,4,7]=>([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,2,5,4,3,6,1]=>[1,2,5,3,6,4,7]=>[1,2,5,6,3,4,7]=>([(3,5),(3,6),(4,5),(4,6)],7)
[7,2,5,4,6,1,3]=>[1,3,2,5,4,6,7]=>[1,3,2,5,4,6,7]=>([(3,6),(4,5)],7)
[7,2,5,4,6,3,1]=>[1,2,5,3,4,6,7]=>[1,2,5,3,4,6,7]=>([(4,6),(5,6)],7)
[7,2,5,6,1,3,4]=>[1,3,4,2,5,6,7]=>[1,4,3,2,5,6,7]=>([(4,5),(4,6),(5,6)],7)
[7,2,5,6,1,4,3]=>[1,4,2,5,6,3,7]=>[1,4,6,2,5,3,7]=>([(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7)
[7,2,5,6,3,1,4]=>[1,4,2,5,6,3,7]=>[1,4,6,2,5,3,7]=>([(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7)
[7,2,5,6,3,4,1]=>[1,2,5,6,3,4,7]=>[1,2,6,3,5,4,7]=>([(3,6),(4,5),(4,6),(5,6)],7)
[7,2,5,6,4,1,3]=>[1,3,2,5,6,4,7]=>[1,3,2,6,5,4,7]=>([(2,3),(4,5),(4,6),(5,6)],7)
[7,2,5,6,4,3,1]=>[1,2,5,6,3,4,7]=>[1,2,6,3,5,4,7]=>([(3,6),(4,5),(4,6),(5,6)],7)
[7,2,6,1,3,4,5]=>[1,3,4,5,2,6,7]=>[1,5,3,4,2,6,7]=>([(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,2,6,1,3,5,4]=>[1,3,5,2,6,4,7]=>[1,5,3,6,2,4,7]=>([(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7)
[7,2,6,1,4,3,5]=>[1,4,2,6,3,5,7]=>[1,4,6,2,3,5,7]=>([(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[7,2,6,1,4,5,3]=>[1,4,5,2,6,3,7]=>[1,5,6,4,2,3,7]=>([(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[7,2,6,1,5,3,4]=>[1,5,2,6,3,4,7]=>[1,5,6,3,2,4,7]=>([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[7,2,6,1,5,4,3]=>[1,5,2,6,3,4,7]=>[1,5,6,3,2,4,7]=>([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[7,2,6,3,1,4,5]=>[1,4,5,2,6,3,7]=>[1,5,6,4,2,3,7]=>([(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[7,2,6,3,1,5,4]=>[1,5,2,6,3,4,7]=>[1,5,6,3,2,4,7]=>([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[7,2,6,3,4,1,5]=>[1,5,2,6,3,4,7]=>[1,5,6,3,2,4,7]=>([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[7,2,6,3,4,5,1]=>[1,2,6,3,4,5,7]=>[1,2,6,3,4,5,7]=>([(3,6),(4,6),(5,6)],7)
[7,2,6,3,5,1,4]=>[1,4,2,6,3,5,7]=>[1,4,6,2,3,5,7]=>([(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[7,2,6,3,5,4,1]=>[1,2,6,3,5,4,7]=>[1,2,6,5,3,4,7]=>([(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,2,6,4,1,3,5]=>[1,3,5,2,6,4,7]=>[1,5,3,6,2,4,7]=>([(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7)
[7,2,6,4,1,5,3]=>[1,5,2,6,3,4,7]=>[1,5,6,3,2,4,7]=>([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[7,2,6,4,3,1,5]=>[1,5,2,6,3,4,7]=>[1,5,6,3,2,4,7]=>([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[7,2,6,4,3,5,1]=>[1,2,6,3,5,4,7]=>[1,2,6,5,3,4,7]=>([(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,2,6,4,5,1,3]=>[1,3,2,6,4,5,7]=>[1,3,2,6,4,5,7]=>([(2,3),(4,6),(5,6)],7)
[7,2,6,4,5,3,1]=>[1,2,6,3,4,5,7]=>[1,2,6,3,4,5,7]=>([(3,6),(4,6),(5,6)],7)
[7,2,6,5,1,3,4]=>[1,3,4,2,6,5,7]=>[1,4,3,2,6,5,7]=>([(2,3),(4,5),(4,6),(5,6)],7)
[7,2,6,5,1,4,3]=>[1,4,2,6,3,5,7]=>[1,4,6,2,3,5,7]=>([(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[7,2,6,5,3,1,4]=>[1,4,2,6,3,5,7]=>[1,4,6,2,3,5,7]=>([(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[7,2,6,5,3,4,1]=>[1,2,6,3,4,5,7]=>[1,2,6,3,4,5,7]=>([(3,6),(4,6),(5,6)],7)
[7,2,6,5,4,1,3]=>[1,3,2,6,4,5,7]=>[1,3,2,6,4,5,7]=>([(2,3),(4,6),(5,6)],7)
[7,2,6,5,4,3,1]=>[1,2,6,3,4,5,7]=>[1,2,6,3,4,5,7]=>([(3,6),(4,6),(5,6)],7)
[7,3,1,2,4,5,6]=>[1,2,4,5,6,3,7]=>[1,2,6,4,5,3,7]=>([(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,3,1,2,4,6,5]=>[1,2,4,6,3,5,7]=>[1,2,6,4,3,5,7]=>([(3,6),(4,5),(4,6),(5,6)],7)
[7,3,1,2,5,4,6]=>[1,2,5,3,4,6,7]=>[1,2,5,3,4,6,7]=>([(4,6),(5,6)],7)
[7,3,1,2,5,6,4]=>[1,2,5,6,3,4,7]=>[1,2,6,3,5,4,7]=>([(3,6),(4,5),(4,6),(5,6)],7)
[7,3,1,2,6,4,5]=>[1,2,6,3,4,5,7]=>[1,2,6,3,4,5,7]=>([(3,6),(4,6),(5,6)],7)
[7,3,1,2,6,5,4]=>[1,2,6,3,4,5,7]=>[1,2,6,3,4,5,7]=>([(3,6),(4,6),(5,6)],7)
[7,3,1,4,2,5,6]=>[1,4,2,5,6,3,7]=>[1,4,6,2,5,3,7]=>([(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7)
[7,3,1,4,2,6,5]=>[1,4,2,6,3,5,7]=>[1,4,6,2,3,5,7]=>([(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[7,3,1,4,5,2,6]=>[1,4,5,2,6,3,7]=>[1,5,6,4,2,3,7]=>([(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[7,3,1,4,5,6,2]=>[1,4,5,6,2,3,7]=>[1,6,2,4,5,3,7]=>([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,3,1,4,6,2,5]=>[1,4,6,2,5,3,7]=>[1,6,5,4,2,3,7]=>([(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,3,1,4,6,5,2]=>[1,4,6,2,3,5,7]=>[1,6,2,4,3,5,7]=>([(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[7,3,1,5,2,4,6]=>[1,5,2,4,6,3,7]=>[1,5,6,2,4,3,7]=>([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[7,3,1,5,2,6,4]=>[1,5,2,6,3,4,7]=>[1,5,6,3,2,4,7]=>([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[7,3,1,5,4,2,6]=>[1,5,2,6,3,4,7]=>[1,5,6,3,2,4,7]=>([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[7,3,1,5,4,6,2]=>[1,5,2,3,4,6,7]=>[1,5,2,3,4,6,7]=>([(3,6),(4,6),(5,6)],7)
[7,3,1,5,6,2,4]=>[1,5,6,2,4,3,7]=>[1,6,4,2,5,3,7]=>([(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[7,3,1,5,6,4,2]=>[1,5,6,2,3,4,7]=>[1,6,2,3,5,4,7]=>([(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[7,3,1,6,2,4,5]=>[1,6,2,4,5,3,7]=>[1,6,5,2,4,3,7]=>([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,3,1,6,2,5,4]=>[1,6,2,5,3,4,7]=>[1,6,5,3,2,4,7]=>([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,3,1,6,4,2,5]=>[1,6,2,5,3,4,7]=>[1,6,5,3,2,4,7]=>([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,3,1,6,4,5,2]=>[1,6,2,3,4,5,7]=>[1,6,2,3,4,5,7]=>([(2,6),(3,6),(4,6),(5,6)],7)
[7,3,1,6,5,2,4]=>[1,6,2,4,3,5,7]=>[1,6,4,2,3,5,7]=>([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,3,1,6,5,4,2]=>[1,6,2,3,4,5,7]=>[1,6,2,3,4,5,7]=>([(2,6),(3,6),(4,6),(5,6)],7)
[7,3,2,1,4,5,6]=>[1,4,5,6,2,3,7]=>[1,6,2,4,5,3,7]=>([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,3,2,1,4,6,5]=>[1,4,6,2,3,5,7]=>[1,6,2,4,3,5,7]=>([(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[7,3,2,1,5,4,6]=>[1,5,2,3,4,6,7]=>[1,5,2,3,4,6,7]=>([(3,6),(4,6),(5,6)],7)
[7,3,2,1,5,6,4]=>[1,5,6,2,3,4,7]=>[1,6,2,3,5,4,7]=>([(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[7,3,2,1,6,4,5]=>[1,6,2,3,4,5,7]=>[1,6,2,3,4,5,7]=>([(2,6),(3,6),(4,6),(5,6)],7)
[7,3,2,1,6,5,4]=>[1,6,2,3,4,5,7]=>[1,6,2,3,4,5,7]=>([(2,6),(3,6),(4,6),(5,6)],7)
[7,3,2,4,1,5,6]=>[1,5,6,2,4,3,7]=>[1,6,4,2,5,3,7]=>([(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[7,3,2,4,1,6,5]=>[1,6,2,4,3,5,7]=>[1,6,4,2,3,5,7]=>([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,3,2,4,5,1,6]=>[1,6,2,4,5,3,7]=>[1,6,5,2,4,3,7]=>([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,3,2,4,5,6,1]=>[1,2,4,5,6,3,7]=>[1,2,6,4,5,3,7]=>([(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,3,2,4,6,1,5]=>[1,5,2,4,6,3,7]=>[1,5,6,2,4,3,7]=>([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[7,3,2,4,6,5,1]=>[1,2,4,6,3,5,7]=>[1,2,6,4,3,5,7]=>([(3,6),(4,5),(4,6),(5,6)],7)
[7,3,2,5,1,4,6]=>[1,4,6,2,5,3,7]=>[1,6,5,4,2,3,7]=>([(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,3,2,5,1,6,4]=>[1,6,2,5,3,4,7]=>[1,6,5,3,2,4,7]=>([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,3,2,5,4,1,6]=>[1,6,2,5,3,4,7]=>[1,6,5,3,2,4,7]=>([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,3,2,5,4,6,1]=>[1,2,5,3,4,6,7]=>[1,2,5,3,4,6,7]=>([(4,6),(5,6)],7)
[7,3,2,5,6,1,4]=>[1,4,2,5,6,3,7]=>[1,4,6,2,5,3,7]=>([(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7)
[7,3,2,5,6,4,1]=>[1,2,5,6,3,4,7]=>[1,2,6,3,5,4,7]=>([(3,6),(4,5),(4,6),(5,6)],7)
[7,3,2,6,1,4,5]=>[1,4,5,2,6,3,7]=>[1,5,6,4,2,3,7]=>([(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[7,3,2,6,1,5,4]=>[1,5,2,6,3,4,7]=>[1,5,6,3,2,4,7]=>([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[7,3,2,6,4,1,5]=>[1,5,2,6,3,4,7]=>[1,5,6,3,2,4,7]=>([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[7,3,2,6,4,5,1]=>[1,2,6,3,4,5,7]=>[1,2,6,3,4,5,7]=>([(3,6),(4,6),(5,6)],7)
[7,3,2,6,5,1,4]=>[1,4,2,6,3,5,7]=>[1,4,6,2,3,5,7]=>([(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[7,3,2,6,5,4,1]=>[1,2,6,3,4,5,7]=>[1,2,6,3,4,5,7]=>([(3,6),(4,6),(5,6)],7)
[7,3,4,1,2,5,6]=>[1,2,5,6,3,4,7]=>[1,2,6,3,5,4,7]=>([(3,6),(4,5),(4,6),(5,6)],7)
[7,3,4,1,2,6,5]=>[1,2,6,3,4,5,7]=>[1,2,6,3,4,5,7]=>([(3,6),(4,6),(5,6)],7)
[7,3,4,1,5,2,6]=>[1,5,2,6,3,4,7]=>[1,5,6,3,2,4,7]=>([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[7,3,4,1,5,6,2]=>[1,5,6,2,3,4,7]=>[1,6,2,3,5,4,7]=>([(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[7,3,4,1,6,2,5]=>[1,6,2,5,3,4,7]=>[1,6,5,3,2,4,7]=>([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,3,4,1,6,5,2]=>[1,6,2,3,4,5,7]=>[1,6,2,3,4,5,7]=>([(2,6),(3,6),(4,6),(5,6)],7)
[7,3,4,2,1,5,6]=>[1,5,6,2,3,4,7]=>[1,6,2,3,5,4,7]=>([(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[7,3,4,2,1,6,5]=>[1,6,2,3,4,5,7]=>[1,6,2,3,4,5,7]=>([(2,6),(3,6),(4,6),(5,6)],7)
[7,3,4,2,5,1,6]=>[1,6,2,5,3,4,7]=>[1,6,5,3,2,4,7]=>([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,3,4,2,5,6,1]=>[1,2,5,6,3,4,7]=>[1,2,6,3,5,4,7]=>([(3,6),(4,5),(4,6),(5,6)],7)
[7,3,4,2,6,1,5]=>[1,5,2,6,3,4,7]=>[1,5,6,3,2,4,7]=>([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[7,3,4,2,6,5,1]=>[1,2,6,3,4,5,7]=>[1,2,6,3,4,5,7]=>([(3,6),(4,6),(5,6)],7)
[7,3,4,5,1,2,6]=>[1,2,6,3,4,5,7]=>[1,2,6,3,4,5,7]=>([(3,6),(4,6),(5,6)],7)
[7,3,4,5,1,6,2]=>[1,6,2,3,4,5,7]=>[1,6,2,3,4,5,7]=>([(2,6),(3,6),(4,6),(5,6)],7)
[7,3,4,5,2,1,6]=>[1,6,2,3,4,5,7]=>[1,6,2,3,4,5,7]=>([(2,6),(3,6),(4,6),(5,6)],7)
[7,3,4,5,2,6,1]=>[1,2,6,3,4,5,7]=>[1,2,6,3,4,5,7]=>([(3,6),(4,6),(5,6)],7)
[7,3,4,5,6,1,2]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>([],7)
[7,3,4,5,6,2,1]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>([],7)
[7,3,4,6,1,2,5]=>[1,2,5,3,4,6,7]=>[1,2,5,3,4,6,7]=>([(4,6),(5,6)],7)
[7,3,4,6,1,5,2]=>[1,5,2,3,4,6,7]=>[1,5,2,3,4,6,7]=>([(3,6),(4,6),(5,6)],7)
[7,3,4,6,2,1,5]=>[1,5,2,3,4,6,7]=>[1,5,2,3,4,6,7]=>([(3,6),(4,6),(5,6)],7)
[7,3,4,6,2,5,1]=>[1,2,5,3,4,6,7]=>[1,2,5,3,4,6,7]=>([(4,6),(5,6)],7)
[7,3,4,6,5,1,2]=>[1,2,3,4,6,5,7]=>[1,2,3,4,6,5,7]=>([(5,6)],7)
[7,3,4,6,5,2,1]=>[1,2,3,4,6,5,7]=>[1,2,3,4,6,5,7]=>([(5,6)],7)
[7,3,5,1,2,4,6]=>[1,2,4,6,3,5,7]=>[1,2,6,4,3,5,7]=>([(3,6),(4,5),(4,6),(5,6)],7)
[7,3,5,1,2,6,4]=>[1,2,6,3,5,4,7]=>[1,2,6,5,3,4,7]=>([(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,3,5,1,4,2,6]=>[1,4,2,6,3,5,7]=>[1,4,6,2,3,5,7]=>([(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[7,3,5,1,4,6,2]=>[1,4,6,2,3,5,7]=>[1,6,2,4,3,5,7]=>([(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[7,3,5,1,6,2,4]=>[1,6,2,4,3,5,7]=>[1,6,4,2,3,5,7]=>([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,3,5,1,6,4,2]=>[1,6,2,3,5,4,7]=>[1,6,2,5,3,4,7]=>([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,3,5,2,1,4,6]=>[1,4,6,2,3,5,7]=>[1,6,2,4,3,5,7]=>([(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[7,3,5,2,1,6,4]=>[1,6,2,3,5,4,7]=>[1,6,2,5,3,4,7]=>([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,3,5,2,4,1,6]=>[1,6,2,4,3,5,7]=>[1,6,4,2,3,5,7]=>([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,3,5,2,4,6,1]=>[1,2,4,6,3,5,7]=>[1,2,6,4,3,5,7]=>([(3,6),(4,5),(4,6),(5,6)],7)
[7,3,5,2,6,1,4]=>[1,4,2,6,3,5,7]=>[1,4,6,2,3,5,7]=>([(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[7,3,5,2,6,4,1]=>[1,2,6,3,5,4,7]=>[1,2,6,5,3,4,7]=>([(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,3,5,4,1,2,6]=>[1,2,6,3,5,4,7]=>[1,2,6,5,3,4,7]=>([(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,3,5,4,1,6,2]=>[1,6,2,3,5,4,7]=>[1,6,2,5,3,4,7]=>([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,3,5,4,2,1,6]=>[1,6,2,3,5,4,7]=>[1,6,2,5,3,4,7]=>([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,3,5,4,2,6,1]=>[1,2,6,3,5,4,7]=>[1,2,6,5,3,4,7]=>([(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,3,5,4,6,1,2]=>[1,2,3,5,4,6,7]=>[1,2,3,5,4,6,7]=>([(5,6)],7)
[7,3,5,4,6,2,1]=>[1,2,3,5,4,6,7]=>[1,2,3,5,4,6,7]=>([(5,6)],7)
[7,3,5,6,1,2,4]=>[1,2,4,3,5,6,7]=>[1,2,4,3,5,6,7]=>([(5,6)],7)
[7,3,5,6,1,4,2]=>[1,4,2,3,5,6,7]=>[1,4,2,3,5,6,7]=>([(4,6),(5,6)],7)
[7,3,5,6,2,1,4]=>[1,4,2,3,5,6,7]=>[1,4,2,3,5,6,7]=>([(4,6),(5,6)],7)
[7,3,5,6,2,4,1]=>[1,2,4,3,5,6,7]=>[1,2,4,3,5,6,7]=>([(5,6)],7)
[7,3,5,6,4,1,2]=>[1,2,3,5,6,4,7]=>[1,2,3,6,5,4,7]=>([(4,5),(4,6),(5,6)],7)
[7,3,5,6,4,2,1]=>[1,2,3,5,6,4,7]=>[1,2,3,6,5,4,7]=>([(4,5),(4,6),(5,6)],7)
[7,3,6,1,2,4,5]=>[1,2,4,5,3,6,7]=>[1,2,5,4,3,6,7]=>([(4,5),(4,6),(5,6)],7)
[7,3,6,1,2,5,4]=>[1,2,5,3,6,4,7]=>[1,2,5,6,3,4,7]=>([(3,5),(3,6),(4,5),(4,6)],7)
[7,3,6,1,4,2,5]=>[1,4,2,5,3,6,7]=>[1,4,5,2,3,6,7]=>([(3,5),(3,6),(4,5),(4,6)],7)
[7,3,6,1,4,5,2]=>[1,4,5,2,3,6,7]=>[1,5,2,4,3,6,7]=>([(3,6),(4,5),(4,6),(5,6)],7)
[7,3,6,1,5,2,4]=>[1,5,2,4,3,6,7]=>[1,5,4,2,3,6,7]=>([(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,3,6,1,5,4,2]=>[1,5,2,3,6,4,7]=>[1,5,2,6,3,4,7]=>([(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[7,3,6,2,1,4,5]=>[1,4,5,2,3,6,7]=>[1,5,2,4,3,6,7]=>([(3,6),(4,5),(4,6),(5,6)],7)
[7,3,6,2,1,5,4]=>[1,5,2,3,6,4,7]=>[1,5,2,6,3,4,7]=>([(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[7,3,6,2,4,1,5]=>[1,5,2,4,3,6,7]=>[1,5,4,2,3,6,7]=>([(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,3,6,2,4,5,1]=>[1,2,4,5,3,6,7]=>[1,2,5,4,3,6,7]=>([(4,5),(4,6),(5,6)],7)
[7,3,6,2,5,1,4]=>[1,4,2,5,3,6,7]=>[1,4,5,2,3,6,7]=>([(3,5),(3,6),(4,5),(4,6)],7)
[7,3,6,2,5,4,1]=>[1,2,5,3,6,4,7]=>[1,2,5,6,3,4,7]=>([(3,5),(3,6),(4,5),(4,6)],7)
[7,3,6,4,1,2,5]=>[1,2,5,3,6,4,7]=>[1,2,5,6,3,4,7]=>([(3,5),(3,6),(4,5),(4,6)],7)
[7,3,6,4,1,5,2]=>[1,5,2,3,6,4,7]=>[1,5,2,6,3,4,7]=>([(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[7,3,6,4,2,1,5]=>[1,5,2,3,6,4,7]=>[1,5,2,6,3,4,7]=>([(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[7,3,6,4,2,5,1]=>[1,2,5,3,6,4,7]=>[1,2,5,6,3,4,7]=>([(3,5),(3,6),(4,5),(4,6)],7)
[7,3,6,4,5,1,2]=>[1,2,3,6,4,5,7]=>[1,2,3,6,4,5,7]=>([(4,6),(5,6)],7)
[7,3,6,4,5,2,1]=>[1,2,3,6,4,5,7]=>[1,2,3,6,4,5,7]=>([(4,6),(5,6)],7)
[7,3,6,5,1,2,4]=>[1,2,4,3,6,5,7]=>[1,2,4,3,6,5,7]=>([(3,6),(4,5)],7)
[7,3,6,5,1,4,2]=>[1,4,2,3,6,5,7]=>[1,4,2,3,6,5,7]=>([(2,3),(4,6),(5,6)],7)
[7,3,6,5,2,1,4]=>[1,4,2,3,6,5,7]=>[1,4,2,3,6,5,7]=>([(2,3),(4,6),(5,6)],7)
[7,3,6,5,2,4,1]=>[1,2,4,3,6,5,7]=>[1,2,4,3,6,5,7]=>([(3,6),(4,5)],7)
[7,3,6,5,4,1,2]=>[1,2,3,6,4,5,7]=>[1,2,3,6,4,5,7]=>([(4,6),(5,6)],7)
[7,3,6,5,4,2,1]=>[1,2,3,6,4,5,7]=>[1,2,3,6,4,5,7]=>([(4,6),(5,6)],7)
[7,4,1,2,3,5,6]=>[1,2,3,5,6,4,7]=>[1,2,3,6,5,4,7]=>([(4,5),(4,6),(5,6)],7)
[7,4,1,2,3,6,5]=>[1,2,3,6,4,5,7]=>[1,2,3,6,4,5,7]=>([(4,6),(5,6)],7)
[7,4,1,2,5,3,6]=>[1,2,5,3,6,4,7]=>[1,2,5,6,3,4,7]=>([(3,5),(3,6),(4,5),(4,6)],7)
[7,4,1,2,5,6,3]=>[1,2,5,6,3,4,7]=>[1,2,6,3,5,4,7]=>([(3,6),(4,5),(4,6),(5,6)],7)
[7,4,1,2,6,3,5]=>[1,2,6,3,5,4,7]=>[1,2,6,5,3,4,7]=>([(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,4,1,2,6,5,3]=>[1,2,6,3,4,5,7]=>[1,2,6,3,4,5,7]=>([(3,6),(4,6),(5,6)],7)
[7,4,1,3,2,5,6]=>[1,3,2,5,6,4,7]=>[1,3,2,6,5,4,7]=>([(2,3),(4,5),(4,6),(5,6)],7)
[7,4,1,3,2,6,5]=>[1,3,2,6,4,5,7]=>[1,3,2,6,4,5,7]=>([(2,3),(4,6),(5,6)],7)
[7,4,1,3,5,2,6]=>[1,3,5,2,6,4,7]=>[1,5,3,6,2,4,7]=>([(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7)
[7,4,1,3,5,6,2]=>[1,3,5,6,2,4,7]=>[1,6,3,2,5,4,7]=>([(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7)
[7,4,1,3,6,2,5]=>[1,3,6,2,5,4,7]=>[1,6,3,5,2,4,7]=>([(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[7,4,1,3,6,5,2]=>[1,3,6,2,4,5,7]=>[1,6,3,2,4,5,7]=>([(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[7,4,1,5,2,3,6]=>[1,5,2,3,6,4,7]=>[1,5,2,6,3,4,7]=>([(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[7,4,1,5,2,6,3]=>[1,5,2,6,3,4,7]=>[1,5,6,3,2,4,7]=>([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[7,4,1,5,3,2,6]=>[1,5,2,6,3,4,7]=>[1,5,6,3,2,4,7]=>([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[7,4,1,5,3,6,2]=>[1,5,2,3,6,4,7]=>[1,5,2,6,3,4,7]=>([(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[7,4,1,5,6,2,3]=>[1,5,6,2,3,4,7]=>[1,6,2,3,5,4,7]=>([(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[7,4,1,5,6,3,2]=>[1,5,6,2,3,4,7]=>[1,6,2,3,5,4,7]=>([(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[7,4,1,6,2,3,5]=>[1,6,2,3,5,4,7]=>[1,6,2,5,3,4,7]=>([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,4,1,6,2,5,3]=>[1,6,2,5,3,4,7]=>[1,6,5,3,2,4,7]=>([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,4,1,6,3,2,5]=>[1,6,2,5,3,4,7]=>[1,6,5,3,2,4,7]=>([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,4,1,6,3,5,2]=>[1,6,2,3,5,4,7]=>[1,6,2,5,3,4,7]=>([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,4,1,6,5,2,3]=>[1,6,2,3,4,5,7]=>[1,6,2,3,4,5,7]=>([(2,6),(3,6),(4,6),(5,6)],7)
[7,4,1,6,5,3,2]=>[1,6,2,3,4,5,7]=>[1,6,2,3,4,5,7]=>([(2,6),(3,6),(4,6),(5,6)],7)
[7,4,2,1,3,5,6]=>[1,3,5,6,2,4,7]=>[1,6,3,2,5,4,7]=>([(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7)
[7,4,2,1,3,6,5]=>[1,3,6,2,4,5,7]=>[1,6,3,2,4,5,7]=>([(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[7,4,2,1,5,3,6]=>[1,5,2,3,6,4,7]=>[1,5,2,6,3,4,7]=>([(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[7,4,2,1,5,6,3]=>[1,5,6,2,3,4,7]=>[1,6,2,3,5,4,7]=>([(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[7,4,2,1,6,3,5]=>[1,6,2,3,5,4,7]=>[1,6,2,5,3,4,7]=>([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,4,2,1,6,5,3]=>[1,6,2,3,4,5,7]=>[1,6,2,3,4,5,7]=>([(2,6),(3,6),(4,6),(5,6)],7)
[7,4,2,3,1,5,6]=>[1,5,6,2,3,4,7]=>[1,6,2,3,5,4,7]=>([(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[7,4,2,3,1,6,5]=>[1,6,2,3,4,5,7]=>[1,6,2,3,4,5,7]=>([(2,6),(3,6),(4,6),(5,6)],7)
[7,4,2,3,5,1,6]=>[1,6,2,3,5,4,7]=>[1,6,2,5,3,4,7]=>([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,4,2,3,5,6,1]=>[1,2,3,5,6,4,7]=>[1,2,3,6,5,4,7]=>([(4,5),(4,6),(5,6)],7)
[7,4,2,3,6,1,5]=>[1,5,2,3,6,4,7]=>[1,5,2,6,3,4,7]=>([(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[7,4,2,3,6,5,1]=>[1,2,3,6,4,5,7]=>[1,2,3,6,4,5,7]=>([(4,6),(5,6)],7)
[7,4,2,5,1,3,6]=>[1,3,6,2,5,4,7]=>[1,6,3,5,2,4,7]=>([(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[7,4,2,5,1,6,3]=>[1,6,2,5,3,4,7]=>[1,6,5,3,2,4,7]=>([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,4,2,5,3,1,6]=>[1,6,2,5,3,4,7]=>[1,6,5,3,2,4,7]=>([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,4,2,5,3,6,1]=>[1,2,5,3,6,4,7]=>[1,2,5,6,3,4,7]=>([(3,5),(3,6),(4,5),(4,6)],7)
[7,4,2,5,6,1,3]=>[1,3,2,5,6,4,7]=>[1,3,2,6,5,4,7]=>([(2,3),(4,5),(4,6),(5,6)],7)
[7,4,2,5,6,3,1]=>[1,2,5,6,3,4,7]=>[1,2,6,3,5,4,7]=>([(3,6),(4,5),(4,6),(5,6)],7)
[7,4,2,6,1,3,5]=>[1,3,5,2,6,4,7]=>[1,5,3,6,2,4,7]=>([(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7)
[7,4,2,6,1,5,3]=>[1,5,2,6,3,4,7]=>[1,5,6,3,2,4,7]=>([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[7,4,2,6,3,1,5]=>[1,5,2,6,3,4,7]=>[1,5,6,3,2,4,7]=>([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[7,4,2,6,3,5,1]=>[1,2,6,3,5,4,7]=>[1,2,6,5,3,4,7]=>([(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,4,2,6,5,1,3]=>[1,3,2,6,4,5,7]=>[1,3,2,6,4,5,7]=>([(2,3),(4,6),(5,6)],7)
[7,4,2,6,5,3,1]=>[1,2,6,3,4,5,7]=>[1,2,6,3,4,5,7]=>([(3,6),(4,6),(5,6)],7)
[7,4,3,1,2,5,6]=>[1,2,5,6,3,4,7]=>[1,2,6,3,5,4,7]=>([(3,6),(4,5),(4,6),(5,6)],7)
[7,4,3,1,2,6,5]=>[1,2,6,3,4,5,7]=>[1,2,6,3,4,5,7]=>([(3,6),(4,6),(5,6)],7)
[7,4,3,1,5,2,6]=>[1,5,2,6,3,4,7]=>[1,5,6,3,2,4,7]=>([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[7,4,3,1,5,6,2]=>[1,5,6,2,3,4,7]=>[1,6,2,3,5,4,7]=>([(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[7,4,3,1,6,2,5]=>[1,6,2,5,3,4,7]=>[1,6,5,3,2,4,7]=>([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,4,3,1,6,5,2]=>[1,6,2,3,4,5,7]=>[1,6,2,3,4,5,7]=>([(2,6),(3,6),(4,6),(5,6)],7)
[7,4,3,2,1,5,6]=>[1,5,6,2,3,4,7]=>[1,6,2,3,5,4,7]=>([(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[7,4,3,2,1,6,5]=>[1,6,2,3,4,5,7]=>[1,6,2,3,4,5,7]=>([(2,6),(3,6),(4,6),(5,6)],7)
[7,4,3,2,5,1,6]=>[1,6,2,5,3,4,7]=>[1,6,5,3,2,4,7]=>([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,4,3,2,5,6,1]=>[1,2,5,6,3,4,7]=>[1,2,6,3,5,4,7]=>([(3,6),(4,5),(4,6),(5,6)],7)
[7,4,3,2,6,1,5]=>[1,5,2,6,3,4,7]=>[1,5,6,3,2,4,7]=>([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[7,4,3,2,6,5,1]=>[1,2,6,3,4,5,7]=>[1,2,6,3,4,5,7]=>([(3,6),(4,6),(5,6)],7)
[7,4,3,5,1,2,6]=>[1,2,6,3,5,4,7]=>[1,2,6,5,3,4,7]=>([(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,4,3,5,1,6,2]=>[1,6,2,3,5,4,7]=>[1,6,2,5,3,4,7]=>([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,4,3,5,2,1,6]=>[1,6,2,3,5,4,7]=>[1,6,2,5,3,4,7]=>([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,4,3,5,2,6,1]=>[1,2,6,3,5,4,7]=>[1,2,6,5,3,4,7]=>([(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,4,3,5,6,1,2]=>[1,2,3,5,6,4,7]=>[1,2,3,6,5,4,7]=>([(4,5),(4,6),(5,6)],7)
[7,4,3,5,6,2,1]=>[1,2,3,5,6,4,7]=>[1,2,3,6,5,4,7]=>([(4,5),(4,6),(5,6)],7)
[7,4,3,6,1,2,5]=>[1,2,5,3,6,4,7]=>[1,2,5,6,3,4,7]=>([(3,5),(3,6),(4,5),(4,6)],7)
[7,4,3,6,1,5,2]=>[1,5,2,3,6,4,7]=>[1,5,2,6,3,4,7]=>([(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[7,4,3,6,2,1,5]=>[1,5,2,3,6,4,7]=>[1,5,2,6,3,4,7]=>([(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[7,4,3,6,2,5,1]=>[1,2,5,3,6,4,7]=>[1,2,5,6,3,4,7]=>([(3,5),(3,6),(4,5),(4,6)],7)
[7,4,3,6,5,1,2]=>[1,2,3,6,4,5,7]=>[1,2,3,6,4,5,7]=>([(4,6),(5,6)],7)
[7,4,3,6,5,2,1]=>[1,2,3,6,4,5,7]=>[1,2,3,6,4,5,7]=>([(4,6),(5,6)],7)
[7,4,5,1,2,3,6]=>[1,2,3,6,4,5,7]=>[1,2,3,6,4,5,7]=>([(4,6),(5,6)],7)
[7,4,5,1,2,6,3]=>[1,2,6,3,4,5,7]=>[1,2,6,3,4,5,7]=>([(3,6),(4,6),(5,6)],7)
[7,4,5,1,3,2,6]=>[1,3,2,6,4,5,7]=>[1,3,2,6,4,5,7]=>([(2,3),(4,6),(5,6)],7)
[7,4,5,1,3,6,2]=>[1,3,6,2,4,5,7]=>[1,6,3,2,4,5,7]=>([(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[7,4,5,1,6,2,3]=>[1,6,2,3,4,5,7]=>[1,6,2,3,4,5,7]=>([(2,6),(3,6),(4,6),(5,6)],7)
[7,4,5,1,6,3,2]=>[1,6,2,3,4,5,7]=>[1,6,2,3,4,5,7]=>([(2,6),(3,6),(4,6),(5,6)],7)
[7,4,5,2,1,3,6]=>[1,3,6,2,4,5,7]=>[1,6,3,2,4,5,7]=>([(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[7,4,5,2,1,6,3]=>[1,6,2,3,4,5,7]=>[1,6,2,3,4,5,7]=>([(2,6),(3,6),(4,6),(5,6)],7)
[7,4,5,2,3,1,6]=>[1,6,2,3,4,5,7]=>[1,6,2,3,4,5,7]=>([(2,6),(3,6),(4,6),(5,6)],7)
[7,4,5,2,3,6,1]=>[1,2,3,6,4,5,7]=>[1,2,3,6,4,5,7]=>([(4,6),(5,6)],7)
[7,4,5,2,6,1,3]=>[1,3,2,6,4,5,7]=>[1,3,2,6,4,5,7]=>([(2,3),(4,6),(5,6)],7)
[7,4,5,2,6,3,1]=>[1,2,6,3,4,5,7]=>[1,2,6,3,4,5,7]=>([(3,6),(4,6),(5,6)],7)
[7,4,5,3,1,2,6]=>[1,2,6,3,4,5,7]=>[1,2,6,3,4,5,7]=>([(3,6),(4,6),(5,6)],7)
[7,4,5,3,1,6,2]=>[1,6,2,3,4,5,7]=>[1,6,2,3,4,5,7]=>([(2,6),(3,6),(4,6),(5,6)],7)
[7,4,5,3,2,1,6]=>[1,6,2,3,4,5,7]=>[1,6,2,3,4,5,7]=>([(2,6),(3,6),(4,6),(5,6)],7)
[7,4,5,3,2,6,1]=>[1,2,6,3,4,5,7]=>[1,2,6,3,4,5,7]=>([(3,6),(4,6),(5,6)],7)
[7,4,5,3,6,1,2]=>[1,2,3,6,4,5,7]=>[1,2,3,6,4,5,7]=>([(4,6),(5,6)],7)
[7,4,5,3,6,2,1]=>[1,2,3,6,4,5,7]=>[1,2,3,6,4,5,7]=>([(4,6),(5,6)],7)
[7,4,5,6,1,2,3]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>([],7)
[7,4,5,6,1,3,2]=>[1,3,2,4,5,6,7]=>[1,3,2,4,5,6,7]=>([(5,6)],7)
[7,4,5,6,2,1,3]=>[1,3,2,4,5,6,7]=>[1,3,2,4,5,6,7]=>([(5,6)],7)
[7,4,5,6,2,3,1]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>([],7)
[7,4,5,6,3,1,2]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>([],7)
[7,4,5,6,3,2,1]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>([],7)
[7,4,6,1,2,3,5]=>[1,2,3,5,4,6,7]=>[1,2,3,5,4,6,7]=>([(5,6)],7)
[7,4,6,1,2,5,3]=>[1,2,5,3,4,6,7]=>[1,2,5,3,4,6,7]=>([(4,6),(5,6)],7)
[7,4,6,1,3,2,5]=>[1,3,2,5,4,6,7]=>[1,3,2,5,4,6,7]=>([(3,6),(4,5)],7)
[7,4,6,1,3,5,2]=>[1,3,5,2,4,6,7]=>[1,5,3,2,4,6,7]=>([(3,6),(4,5),(4,6),(5,6)],7)
[7,4,6,1,5,2,3]=>[1,5,2,3,4,6,7]=>[1,5,2,3,4,6,7]=>([(3,6),(4,6),(5,6)],7)
[7,4,6,1,5,3,2]=>[1,5,2,3,4,6,7]=>[1,5,2,3,4,6,7]=>([(3,6),(4,6),(5,6)],7)
[7,4,6,2,1,3,5]=>[1,3,5,2,4,6,7]=>[1,5,3,2,4,6,7]=>([(3,6),(4,5),(4,6),(5,6)],7)
[7,4,6,2,1,5,3]=>[1,5,2,3,4,6,7]=>[1,5,2,3,4,6,7]=>([(3,6),(4,6),(5,6)],7)
[7,4,6,2,3,1,5]=>[1,5,2,3,4,6,7]=>[1,5,2,3,4,6,7]=>([(3,6),(4,6),(5,6)],7)
[7,4,6,2,3,5,1]=>[1,2,3,5,4,6,7]=>[1,2,3,5,4,6,7]=>([(5,6)],7)
[7,4,6,2,5,1,3]=>[1,3,2,5,4,6,7]=>[1,3,2,5,4,6,7]=>([(3,6),(4,5)],7)
[7,4,6,2,5,3,1]=>[1,2,5,3,4,6,7]=>[1,2,5,3,4,6,7]=>([(4,6),(5,6)],7)
[7,4,6,3,1,2,5]=>[1,2,5,3,4,6,7]=>[1,2,5,3,4,6,7]=>([(4,6),(5,6)],7)
[7,4,6,3,1,5,2]=>[1,5,2,3,4,6,7]=>[1,5,2,3,4,6,7]=>([(3,6),(4,6),(5,6)],7)
[7,4,6,3,2,1,5]=>[1,5,2,3,4,6,7]=>[1,5,2,3,4,6,7]=>([(3,6),(4,6),(5,6)],7)
[7,4,6,3,2,5,1]=>[1,2,5,3,4,6,7]=>[1,2,5,3,4,6,7]=>([(4,6),(5,6)],7)
[7,4,6,3,5,1,2]=>[1,2,3,5,4,6,7]=>[1,2,3,5,4,6,7]=>([(5,6)],7)
[7,4,6,3,5,2,1]=>[1,2,3,5,4,6,7]=>[1,2,3,5,4,6,7]=>([(5,6)],7)
[7,4,6,5,1,2,3]=>[1,2,3,4,6,5,7]=>[1,2,3,4,6,5,7]=>([(5,6)],7)
[7,4,6,5,1,3,2]=>[1,3,2,4,6,5,7]=>[1,3,2,4,6,5,7]=>([(3,6),(4,5)],7)
[7,4,6,5,2,1,3]=>[1,3,2,4,6,5,7]=>[1,3,2,4,6,5,7]=>([(3,6),(4,5)],7)
[7,4,6,5,2,3,1]=>[1,2,3,4,6,5,7]=>[1,2,3,4,6,5,7]=>([(5,6)],7)
[7,4,6,5,3,1,2]=>[1,2,3,4,6,5,7]=>[1,2,3,4,6,5,7]=>([(5,6)],7)
[7,4,6,5,3,2,1]=>[1,2,3,4,6,5,7]=>[1,2,3,4,6,5,7]=>([(5,6)],7)
[7,5,1,2,3,4,6]=>[1,2,3,4,6,5,7]=>[1,2,3,4,6,5,7]=>([(5,6)],7)
[7,5,1,2,3,6,4]=>[1,2,3,6,4,5,7]=>[1,2,3,6,4,5,7]=>([(4,6),(5,6)],7)
[7,5,1,2,4,3,6]=>[1,2,4,3,6,5,7]=>[1,2,4,3,6,5,7]=>([(3,6),(4,5)],7)
[7,5,1,2,4,6,3]=>[1,2,4,6,3,5,7]=>[1,2,6,4,3,5,7]=>([(3,6),(4,5),(4,6),(5,6)],7)
[7,5,1,2,6,3,4]=>[1,2,6,3,4,5,7]=>[1,2,6,3,4,5,7]=>([(3,6),(4,6),(5,6)],7)
[7,5,1,2,6,4,3]=>[1,2,6,3,4,5,7]=>[1,2,6,3,4,5,7]=>([(3,6),(4,6),(5,6)],7)
[7,5,1,3,2,4,6]=>[1,3,2,4,6,5,7]=>[1,3,2,4,6,5,7]=>([(3,6),(4,5)],7)
[7,5,1,3,2,6,4]=>[1,3,2,6,4,5,7]=>[1,3,2,6,4,5,7]=>([(2,3),(4,6),(5,6)],7)
[7,5,1,3,4,2,6]=>[1,3,4,2,6,5,7]=>[1,4,3,2,6,5,7]=>([(2,3),(4,5),(4,6),(5,6)],7)
[7,5,1,3,4,6,2]=>[1,3,4,6,2,5,7]=>[1,6,3,4,2,5,7]=>([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,5,1,3,6,2,4]=>[1,3,6,2,4,5,7]=>[1,6,3,2,4,5,7]=>([(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[7,5,1,3,6,4,2]=>[1,3,6,2,4,5,7]=>[1,6,3,2,4,5,7]=>([(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[7,5,1,4,2,3,6]=>[1,4,2,3,6,5,7]=>[1,4,2,3,6,5,7]=>([(2,3),(4,6),(5,6)],7)
[7,5,1,4,2,6,3]=>[1,4,2,6,3,5,7]=>[1,4,6,2,3,5,7]=>([(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[7,5,1,4,3,2,6]=>[1,4,2,6,3,5,7]=>[1,4,6,2,3,5,7]=>([(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[7,5,1,4,3,6,2]=>[1,4,2,3,6,5,7]=>[1,4,2,3,6,5,7]=>([(2,3),(4,6),(5,6)],7)
[7,5,1,4,6,2,3]=>[1,4,6,2,3,5,7]=>[1,6,2,4,3,5,7]=>([(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[7,5,1,4,6,3,2]=>[1,4,6,2,3,5,7]=>[1,6,2,4,3,5,7]=>([(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[7,5,1,6,2,3,4]=>[1,6,2,3,4,5,7]=>[1,6,2,3,4,5,7]=>([(2,6),(3,6),(4,6),(5,6)],7)
[7,5,1,6,2,4,3]=>[1,6,2,4,3,5,7]=>[1,6,4,2,3,5,7]=>([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,5,1,6,3,2,4]=>[1,6,2,4,3,5,7]=>[1,6,4,2,3,5,7]=>([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,5,1,6,3,4,2]=>[1,6,2,3,4,5,7]=>[1,6,2,3,4,5,7]=>([(2,6),(3,6),(4,6),(5,6)],7)
[7,5,1,6,4,2,3]=>[1,6,2,3,4,5,7]=>[1,6,2,3,4,5,7]=>([(2,6),(3,6),(4,6),(5,6)],7)
[7,5,1,6,4,3,2]=>[1,6,2,3,4,5,7]=>[1,6,2,3,4,5,7]=>([(2,6),(3,6),(4,6),(5,6)],7)
[7,5,2,1,3,4,6]=>[1,3,4,6,2,5,7]=>[1,6,3,4,2,5,7]=>([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,5,2,1,3,6,4]=>[1,3,6,2,4,5,7]=>[1,6,3,2,4,5,7]=>([(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[7,5,2,1,4,3,6]=>[1,4,2,3,6,5,7]=>[1,4,2,3,6,5,7]=>([(2,3),(4,6),(5,6)],7)
[7,5,2,1,4,6,3]=>[1,4,6,2,3,5,7]=>[1,6,2,4,3,5,7]=>([(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[7,5,2,1,6,3,4]=>[1,6,2,3,4,5,7]=>[1,6,2,3,4,5,7]=>([(2,6),(3,6),(4,6),(5,6)],7)
[7,5,2,1,6,4,3]=>[1,6,2,3,4,5,7]=>[1,6,2,3,4,5,7]=>([(2,6),(3,6),(4,6),(5,6)],7)
[7,5,2,3,1,4,6]=>[1,4,6,2,3,5,7]=>[1,6,2,4,3,5,7]=>([(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[7,5,2,3,1,6,4]=>[1,6,2,3,4,5,7]=>[1,6,2,3,4,5,7]=>([(2,6),(3,6),(4,6),(5,6)],7)
[7,5,2,3,4,1,6]=>[1,6,2,3,4,5,7]=>[1,6,2,3,4,5,7]=>([(2,6),(3,6),(4,6),(5,6)],7)
[7,5,2,3,4,6,1]=>[1,2,3,4,6,5,7]=>[1,2,3,4,6,5,7]=>([(5,6)],7)
[7,5,2,3,6,1,4]=>[1,4,2,3,6,5,7]=>[1,4,2,3,6,5,7]=>([(2,3),(4,6),(5,6)],7)
[7,5,2,3,6,4,1]=>[1,2,3,6,4,5,7]=>[1,2,3,6,4,5,7]=>([(4,6),(5,6)],7)
[7,5,2,4,1,3,6]=>[1,3,6,2,4,5,7]=>[1,6,3,2,4,5,7]=>([(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[7,5,2,4,1,6,3]=>[1,6,2,4,3,5,7]=>[1,6,4,2,3,5,7]=>([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,5,2,4,3,1,6]=>[1,6,2,4,3,5,7]=>[1,6,4,2,3,5,7]=>([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,5,2,4,3,6,1]=>[1,2,4,3,6,5,7]=>[1,2,4,3,6,5,7]=>([(3,6),(4,5)],7)
[7,5,2,4,6,1,3]=>[1,3,2,4,6,5,7]=>[1,3,2,4,6,5,7]=>([(3,6),(4,5)],7)
[7,5,2,4,6,3,1]=>[1,2,4,6,3,5,7]=>[1,2,6,4,3,5,7]=>([(3,6),(4,5),(4,6),(5,6)],7)
[7,5,2,6,1,3,4]=>[1,3,4,2,6,5,7]=>[1,4,3,2,6,5,7]=>([(2,3),(4,5),(4,6),(5,6)],7)
[7,5,2,6,1,4,3]=>[1,4,2,6,3,5,7]=>[1,4,6,2,3,5,7]=>([(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[7,5,2,6,3,1,4]=>[1,4,2,6,3,5,7]=>[1,4,6,2,3,5,7]=>([(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[7,5,2,6,3,4,1]=>[1,2,6,3,4,5,7]=>[1,2,6,3,4,5,7]=>([(3,6),(4,6),(5,6)],7)
[7,5,2,6,4,1,3]=>[1,3,2,6,4,5,7]=>[1,3,2,6,4,5,7]=>([(2,3),(4,6),(5,6)],7)
[7,5,2,6,4,3,1]=>[1,2,6,3,4,5,7]=>[1,2,6,3,4,5,7]=>([(3,6),(4,6),(5,6)],7)
[7,5,3,1,2,4,6]=>[1,2,4,6,3,5,7]=>[1,2,6,4,3,5,7]=>([(3,6),(4,5),(4,6),(5,6)],7)
[7,5,3,1,2,6,4]=>[1,2,6,3,4,5,7]=>[1,2,6,3,4,5,7]=>([(3,6),(4,6),(5,6)],7)
[7,5,3,1,4,2,6]=>[1,4,2,6,3,5,7]=>[1,4,6,2,3,5,7]=>([(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[7,5,3,1,4,6,2]=>[1,4,6,2,3,5,7]=>[1,6,2,4,3,5,7]=>([(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[7,5,3,1,6,2,4]=>[1,6,2,4,3,5,7]=>[1,6,4,2,3,5,7]=>([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,5,3,1,6,4,2]=>[1,6,2,3,4,5,7]=>[1,6,2,3,4,5,7]=>([(2,6),(3,6),(4,6),(5,6)],7)
[7,5,3,2,1,4,6]=>[1,4,6,2,3,5,7]=>[1,6,2,4,3,5,7]=>([(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[7,5,3,2,1,6,4]=>[1,6,2,3,4,5,7]=>[1,6,2,3,4,5,7]=>([(2,6),(3,6),(4,6),(5,6)],7)
[7,5,3,2,4,1,6]=>[1,6,2,4,3,5,7]=>[1,6,4,2,3,5,7]=>([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,5,3,2,4,6,1]=>[1,2,4,6,3,5,7]=>[1,2,6,4,3,5,7]=>([(3,6),(4,5),(4,6),(5,6)],7)
[7,5,3,2,6,1,4]=>[1,4,2,6,3,5,7]=>[1,4,6,2,3,5,7]=>([(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[7,5,3,2,6,4,1]=>[1,2,6,3,4,5,7]=>[1,2,6,3,4,5,7]=>([(3,6),(4,6),(5,6)],7)
[7,5,3,4,1,2,6]=>[1,2,6,3,4,5,7]=>[1,2,6,3,4,5,7]=>([(3,6),(4,6),(5,6)],7)
[7,5,3,4,1,6,2]=>[1,6,2,3,4,5,7]=>[1,6,2,3,4,5,7]=>([(2,6),(3,6),(4,6),(5,6)],7)
[7,5,3,4,2,1,6]=>[1,6,2,3,4,5,7]=>[1,6,2,3,4,5,7]=>([(2,6),(3,6),(4,6),(5,6)],7)
[7,5,3,4,2,6,1]=>[1,2,6,3,4,5,7]=>[1,2,6,3,4,5,7]=>([(3,6),(4,6),(5,6)],7)
[7,5,3,4,6,1,2]=>[1,2,3,4,6,5,7]=>[1,2,3,4,6,5,7]=>([(5,6)],7)
[7,5,3,4,6,2,1]=>[1,2,3,4,6,5,7]=>[1,2,3,4,6,5,7]=>([(5,6)],7)
[7,5,3,6,1,2,4]=>[1,2,4,3,6,5,7]=>[1,2,4,3,6,5,7]=>([(3,6),(4,5)],7)
[7,5,3,6,1,4,2]=>[1,4,2,3,6,5,7]=>[1,4,2,3,6,5,7]=>([(2,3),(4,6),(5,6)],7)
[7,5,3,6,2,1,4]=>[1,4,2,3,6,5,7]=>[1,4,2,3,6,5,7]=>([(2,3),(4,6),(5,6)],7)
[7,5,3,6,2,4,1]=>[1,2,4,3,6,5,7]=>[1,2,4,3,6,5,7]=>([(3,6),(4,5)],7)
[7,5,3,6,4,1,2]=>[1,2,3,6,4,5,7]=>[1,2,3,6,4,5,7]=>([(4,6),(5,6)],7)
[7,5,3,6,4,2,1]=>[1,2,3,6,4,5,7]=>[1,2,3,6,4,5,7]=>([(4,6),(5,6)],7)
[7,5,4,1,2,3,6]=>[1,2,3,6,4,5,7]=>[1,2,3,6,4,5,7]=>([(4,6),(5,6)],7)
[7,5,4,1,2,6,3]=>[1,2,6,3,4,5,7]=>[1,2,6,3,4,5,7]=>([(3,6),(4,6),(5,6)],7)
[7,5,4,1,3,2,6]=>[1,3,2,6,4,5,7]=>[1,3,2,6,4,5,7]=>([(2,3),(4,6),(5,6)],7)
[7,5,4,1,3,6,2]=>[1,3,6,2,4,5,7]=>[1,6,3,2,4,5,7]=>([(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[7,5,4,1,6,2,3]=>[1,6,2,3,4,5,7]=>[1,6,2,3,4,5,7]=>([(2,6),(3,6),(4,6),(5,6)],7)
[7,5,4,1,6,3,2]=>[1,6,2,3,4,5,7]=>[1,6,2,3,4,5,7]=>([(2,6),(3,6),(4,6),(5,6)],7)
[7,5,4,2,1,3,6]=>[1,3,6,2,4,5,7]=>[1,6,3,2,4,5,7]=>([(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[7,5,4,2,1,6,3]=>[1,6,2,3,4,5,7]=>[1,6,2,3,4,5,7]=>([(2,6),(3,6),(4,6),(5,6)],7)
[7,5,4,2,3,1,6]=>[1,6,2,3,4,5,7]=>[1,6,2,3,4,5,7]=>([(2,6),(3,6),(4,6),(5,6)],7)
[7,5,4,2,3,6,1]=>[1,2,3,6,4,5,7]=>[1,2,3,6,4,5,7]=>([(4,6),(5,6)],7)
[7,5,4,2,6,1,3]=>[1,3,2,6,4,5,7]=>[1,3,2,6,4,5,7]=>([(2,3),(4,6),(5,6)],7)
[7,5,4,2,6,3,1]=>[1,2,6,3,4,5,7]=>[1,2,6,3,4,5,7]=>([(3,6),(4,6),(5,6)],7)
[7,5,4,3,1,2,6]=>[1,2,6,3,4,5,7]=>[1,2,6,3,4,5,7]=>([(3,6),(4,6),(5,6)],7)
[7,5,4,3,1,6,2]=>[1,6,2,3,4,5,7]=>[1,6,2,3,4,5,7]=>([(2,6),(3,6),(4,6),(5,6)],7)
[7,5,4,3,2,1,6]=>[1,6,2,3,4,5,7]=>[1,6,2,3,4,5,7]=>([(2,6),(3,6),(4,6),(5,6)],7)
[7,5,4,3,2,6,1]=>[1,2,6,3,4,5,7]=>[1,2,6,3,4,5,7]=>([(3,6),(4,6),(5,6)],7)
[7,5,4,3,6,1,2]=>[1,2,3,6,4,5,7]=>[1,2,3,6,4,5,7]=>([(4,6),(5,6)],7)
[7,5,4,3,6,2,1]=>[1,2,3,6,4,5,7]=>[1,2,3,6,4,5,7]=>([(4,6),(5,6)],7)
[7,5,4,6,1,2,3]=>[1,2,3,4,6,5,7]=>[1,2,3,4,6,5,7]=>([(5,6)],7)
[7,5,4,6,1,3,2]=>[1,3,2,4,6,5,7]=>[1,3,2,4,6,5,7]=>([(3,6),(4,5)],7)
[7,5,4,6,2,1,3]=>[1,3,2,4,6,5,7]=>[1,3,2,4,6,5,7]=>([(3,6),(4,5)],7)
[7,5,4,6,2,3,1]=>[1,2,3,4,6,5,7]=>[1,2,3,4,6,5,7]=>([(5,6)],7)
[7,5,4,6,3,1,2]=>[1,2,3,4,6,5,7]=>[1,2,3,4,6,5,7]=>([(5,6)],7)
[7,5,4,6,3,2,1]=>[1,2,3,4,6,5,7]=>[1,2,3,4,6,5,7]=>([(5,6)],7)
[7,5,6,1,2,3,4]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>([],7)
[7,5,6,1,2,4,3]=>[1,2,4,3,5,6,7]=>[1,2,4,3,5,6,7]=>([(5,6)],7)
[7,5,6,1,3,2,4]=>[1,3,2,4,5,6,7]=>[1,3,2,4,5,6,7]=>([(5,6)],7)
[7,5,6,1,3,4,2]=>[1,3,4,2,5,6,7]=>[1,4,3,2,5,6,7]=>([(4,5),(4,6),(5,6)],7)
[7,5,6,1,4,2,3]=>[1,4,2,3,5,6,7]=>[1,4,2,3,5,6,7]=>([(4,6),(5,6)],7)
[7,5,6,1,4,3,2]=>[1,4,2,3,5,6,7]=>[1,4,2,3,5,6,7]=>([(4,6),(5,6)],7)
[7,5,6,2,1,3,4]=>[1,3,4,2,5,6,7]=>[1,4,3,2,5,6,7]=>([(4,5),(4,6),(5,6)],7)
[7,5,6,2,1,4,3]=>[1,4,2,3,5,6,7]=>[1,4,2,3,5,6,7]=>([(4,6),(5,6)],7)
[7,5,6,2,3,1,4]=>[1,4,2,3,5,6,7]=>[1,4,2,3,5,6,7]=>([(4,6),(5,6)],7)
[7,5,6,2,3,4,1]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>([],7)
[7,5,6,2,4,1,3]=>[1,3,2,4,5,6,7]=>[1,3,2,4,5,6,7]=>([(5,6)],7)
[7,5,6,2,4,3,1]=>[1,2,4,3,5,6,7]=>[1,2,4,3,5,6,7]=>([(5,6)],7)
[7,5,6,3,1,2,4]=>[1,2,4,3,5,6,7]=>[1,2,4,3,5,6,7]=>([(5,6)],7)
[7,5,6,3,1,4,2]=>[1,4,2,3,5,6,7]=>[1,4,2,3,5,6,7]=>([(4,6),(5,6)],7)
[7,5,6,3,2,1,4]=>[1,4,2,3,5,6,7]=>[1,4,2,3,5,6,7]=>([(4,6),(5,6)],7)
[7,5,6,3,2,4,1]=>[1,2,4,3,5,6,7]=>[1,2,4,3,5,6,7]=>([(5,6)],7)
[7,5,6,3,4,1,2]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>([],7)
[7,5,6,3,4,2,1]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>([],7)
[7,5,6,4,1,2,3]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>([],7)
[7,5,6,4,1,3,2]=>[1,3,2,4,5,6,7]=>[1,3,2,4,5,6,7]=>([(5,6)],7)
[7,5,6,4,2,1,3]=>[1,3,2,4,5,6,7]=>[1,3,2,4,5,6,7]=>([(5,6)],7)
[7,5,6,4,2,3,1]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>([],7)
[7,5,6,4,3,1,2]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>([],7)
[7,5,6,4,3,2,1]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>([],7)
[7,6,1,2,3,4,5]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>([],7)
[7,6,1,2,3,5,4]=>[1,2,3,5,4,6,7]=>[1,2,3,5,4,6,7]=>([(5,6)],7)
[7,6,1,2,4,3,5]=>[1,2,4,3,5,6,7]=>[1,2,4,3,5,6,7]=>([(5,6)],7)
[7,6,1,2,4,5,3]=>[1,2,4,5,3,6,7]=>[1,2,5,4,3,6,7]=>([(4,5),(4,6),(5,6)],7)
[7,6,1,2,5,3,4]=>[1,2,5,3,4,6,7]=>[1,2,5,3,4,6,7]=>([(4,6),(5,6)],7)
[7,6,1,2,5,4,3]=>[1,2,5,3,4,6,7]=>[1,2,5,3,4,6,7]=>([(4,6),(5,6)],7)
[7,6,1,3,2,4,5]=>[1,3,2,4,5,6,7]=>[1,3,2,4,5,6,7]=>([(5,6)],7)
[7,6,1,3,2,5,4]=>[1,3,2,5,4,6,7]=>[1,3,2,5,4,6,7]=>([(3,6),(4,5)],7)
[7,6,1,3,4,2,5]=>[1,3,4,2,5,6,7]=>[1,4,3,2,5,6,7]=>([(4,5),(4,6),(5,6)],7)
[7,6,1,3,4,5,2]=>[1,3,4,5,2,6,7]=>[1,5,3,4,2,6,7]=>([(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,6,1,3,5,2,4]=>[1,3,5,2,4,6,7]=>[1,5,3,2,4,6,7]=>([(3,6),(4,5),(4,6),(5,6)],7)
[7,6,1,3,5,4,2]=>[1,3,5,2,4,6,7]=>[1,5,3,2,4,6,7]=>([(3,6),(4,5),(4,6),(5,6)],7)
[7,6,1,4,2,3,5]=>[1,4,2,3,5,6,7]=>[1,4,2,3,5,6,7]=>([(4,6),(5,6)],7)
[7,6,1,4,2,5,3]=>[1,4,2,5,3,6,7]=>[1,4,5,2,3,6,7]=>([(3,5),(3,6),(4,5),(4,6)],7)
[7,6,1,4,3,2,5]=>[1,4,2,5,3,6,7]=>[1,4,5,2,3,6,7]=>([(3,5),(3,6),(4,5),(4,6)],7)
[7,6,1,4,3,5,2]=>[1,4,2,3,5,6,7]=>[1,4,2,3,5,6,7]=>([(4,6),(5,6)],7)
[7,6,1,4,5,2,3]=>[1,4,5,2,3,6,7]=>[1,5,2,4,3,6,7]=>([(3,6),(4,5),(4,6),(5,6)],7)
[7,6,1,4,5,3,2]=>[1,4,5,2,3,6,7]=>[1,5,2,4,3,6,7]=>([(3,6),(4,5),(4,6),(5,6)],7)
[7,6,1,5,2,3,4]=>[1,5,2,3,4,6,7]=>[1,5,2,3,4,6,7]=>([(3,6),(4,6),(5,6)],7)
[7,6,1,5,2,4,3]=>[1,5,2,4,3,6,7]=>[1,5,4,2,3,6,7]=>([(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,6,1,5,3,2,4]=>[1,5,2,4,3,6,7]=>[1,5,4,2,3,6,7]=>([(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,6,1,5,3,4,2]=>[1,5,2,3,4,6,7]=>[1,5,2,3,4,6,7]=>([(3,6),(4,6),(5,6)],7)
[7,6,1,5,4,2,3]=>[1,5,2,3,4,6,7]=>[1,5,2,3,4,6,7]=>([(3,6),(4,6),(5,6)],7)
[7,6,1,5,4,3,2]=>[1,5,2,3,4,6,7]=>[1,5,2,3,4,6,7]=>([(3,6),(4,6),(5,6)],7)
[7,6,2,1,3,4,5]=>[1,3,4,5,2,6,7]=>[1,5,3,4,2,6,7]=>([(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,6,2,1,3,5,4]=>[1,3,5,2,4,6,7]=>[1,5,3,2,4,6,7]=>([(3,6),(4,5),(4,6),(5,6)],7)
[7,6,2,1,4,3,5]=>[1,4,2,3,5,6,7]=>[1,4,2,3,5,6,7]=>([(4,6),(5,6)],7)
[7,6,2,1,4,5,3]=>[1,4,5,2,3,6,7]=>[1,5,2,4,3,6,7]=>([(3,6),(4,5),(4,6),(5,6)],7)
[7,6,2,1,5,3,4]=>[1,5,2,3,4,6,7]=>[1,5,2,3,4,6,7]=>([(3,6),(4,6),(5,6)],7)
[7,6,2,1,5,4,3]=>[1,5,2,3,4,6,7]=>[1,5,2,3,4,6,7]=>([(3,6),(4,6),(5,6)],7)
[7,6,2,3,1,4,5]=>[1,4,5,2,3,6,7]=>[1,5,2,4,3,6,7]=>([(3,6),(4,5),(4,6),(5,6)],7)
[7,6,2,3,1,5,4]=>[1,5,2,3,4,6,7]=>[1,5,2,3,4,6,7]=>([(3,6),(4,6),(5,6)],7)
[7,6,2,3,4,1,5]=>[1,5,2,3,4,6,7]=>[1,5,2,3,4,6,7]=>([(3,6),(4,6),(5,6)],7)
[7,6,2,3,4,5,1]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>([],7)
[7,6,2,3,5,1,4]=>[1,4,2,3,5,6,7]=>[1,4,2,3,5,6,7]=>([(4,6),(5,6)],7)
[7,6,2,3,5,4,1]=>[1,2,3,5,4,6,7]=>[1,2,3,5,4,6,7]=>([(5,6)],7)
[7,6,2,4,1,3,5]=>[1,3,5,2,4,6,7]=>[1,5,3,2,4,6,7]=>([(3,6),(4,5),(4,6),(5,6)],7)
[7,6,2,4,1,5,3]=>[1,5,2,4,3,6,7]=>[1,5,4,2,3,6,7]=>([(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,6,2,4,3,1,5]=>[1,5,2,4,3,6,7]=>[1,5,4,2,3,6,7]=>([(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,6,2,4,3,5,1]=>[1,2,4,3,5,6,7]=>[1,2,4,3,5,6,7]=>([(5,6)],7)
[7,6,2,4,5,1,3]=>[1,3,2,4,5,6,7]=>[1,3,2,4,5,6,7]=>([(5,6)],7)
[7,6,2,4,5,3,1]=>[1,2,4,5,3,6,7]=>[1,2,5,4,3,6,7]=>([(4,5),(4,6),(5,6)],7)
[7,6,2,5,1,3,4]=>[1,3,4,2,5,6,7]=>[1,4,3,2,5,6,7]=>([(4,5),(4,6),(5,6)],7)
[7,6,2,5,1,4,3]=>[1,4,2,5,3,6,7]=>[1,4,5,2,3,6,7]=>([(3,5),(3,6),(4,5),(4,6)],7)
[7,6,2,5,3,1,4]=>[1,4,2,5,3,6,7]=>[1,4,5,2,3,6,7]=>([(3,5),(3,6),(4,5),(4,6)],7)
[7,6,2,5,3,4,1]=>[1,2,5,3,4,6,7]=>[1,2,5,3,4,6,7]=>([(4,6),(5,6)],7)
[7,6,2,5,4,1,3]=>[1,3,2,5,4,6,7]=>[1,3,2,5,4,6,7]=>([(3,6),(4,5)],7)
[7,6,2,5,4,3,1]=>[1,2,5,3,4,6,7]=>[1,2,5,3,4,6,7]=>([(4,6),(5,6)],7)
[7,6,3,1,2,4,5]=>[1,2,4,5,3,6,7]=>[1,2,5,4,3,6,7]=>([(4,5),(4,6),(5,6)],7)
[7,6,3,1,2,5,4]=>[1,2,5,3,4,6,7]=>[1,2,5,3,4,6,7]=>([(4,6),(5,6)],7)
[7,6,3,1,4,2,5]=>[1,4,2,5,3,6,7]=>[1,4,5,2,3,6,7]=>([(3,5),(3,6),(4,5),(4,6)],7)
[7,6,3,1,4,5,2]=>[1,4,5,2,3,6,7]=>[1,5,2,4,3,6,7]=>([(3,6),(4,5),(4,6),(5,6)],7)
[7,6,3,1,5,2,4]=>[1,5,2,4,3,6,7]=>[1,5,4,2,3,6,7]=>([(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,6,3,1,5,4,2]=>[1,5,2,3,4,6,7]=>[1,5,2,3,4,6,7]=>([(3,6),(4,6),(5,6)],7)
[7,6,3,2,1,4,5]=>[1,4,5,2,3,6,7]=>[1,5,2,4,3,6,7]=>([(3,6),(4,5),(4,6),(5,6)],7)
[7,6,3,2,1,5,4]=>[1,5,2,3,4,6,7]=>[1,5,2,3,4,6,7]=>([(3,6),(4,6),(5,6)],7)
[7,6,3,2,4,1,5]=>[1,5,2,4,3,6,7]=>[1,5,4,2,3,6,7]=>([(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[7,6,3,2,4,5,1]=>[1,2,4,5,3,6,7]=>[1,2,5,4,3,6,7]=>([(4,5),(4,6),(5,6)],7)
[7,6,3,2,5,1,4]=>[1,4,2,5,3,6,7]=>[1,4,5,2,3,6,7]=>([(3,5),(3,6),(4,5),(4,6)],7)
[7,6,3,2,5,4,1]=>[1,2,5,3,4,6,7]=>[1,2,5,3,4,6,7]=>([(4,6),(5,6)],7)
[7,6,3,4,1,2,5]=>[1,2,5,3,4,6,7]=>[1,2,5,3,4,6,7]=>([(4,6),(5,6)],7)
[7,6,3,4,1,5,2]=>[1,5,2,3,4,6,7]=>[1,5,2,3,4,6,7]=>([(3,6),(4,6),(5,6)],7)
[7,6,3,4,2,1,5]=>[1,5,2,3,4,6,7]=>[1,5,2,3,4,6,7]=>([(3,6),(4,6),(5,6)],7)
[7,6,3,4,2,5,1]=>[1,2,5,3,4,6,7]=>[1,2,5,3,4,6,7]=>([(4,6),(5,6)],7)
[7,6,3,4,5,1,2]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>([],7)
[7,6,3,4,5,2,1]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>([],7)
[7,6,3,5,1,2,4]=>[1,2,4,3,5,6,7]=>[1,2,4,3,5,6,7]=>([(5,6)],7)
[7,6,3,5,1,4,2]=>[1,4,2,3,5,6,7]=>[1,4,2,3,5,6,7]=>([(4,6),(5,6)],7)
[7,6,3,5,2,1,4]=>[1,4,2,3,5,6,7]=>[1,4,2,3,5,6,7]=>([(4,6),(5,6)],7)
[7,6,3,5,2,4,1]=>[1,2,4,3,5,6,7]=>[1,2,4,3,5,6,7]=>([(5,6)],7)
[7,6,3,5,4,1,2]=>[1,2,3,5,4,6,7]=>[1,2,3,5,4,6,7]=>([(5,6)],7)
[7,6,3,5,4,2,1]=>[1,2,3,5,4,6,7]=>[1,2,3,5,4,6,7]=>([(5,6)],7)
[7,6,4,1,2,3,5]=>[1,2,3,5,4,6,7]=>[1,2,3,5,4,6,7]=>([(5,6)],7)
[7,6,4,1,2,5,3]=>[1,2,5,3,4,6,7]=>[1,2,5,3,4,6,7]=>([(4,6),(5,6)],7)
[7,6,4,1,3,2,5]=>[1,3,2,5,4,6,7]=>[1,3,2,5,4,6,7]=>([(3,6),(4,5)],7)
[7,6,4,1,3,5,2]=>[1,3,5,2,4,6,7]=>[1,5,3,2,4,6,7]=>([(3,6),(4,5),(4,6),(5,6)],7)
[7,6,4,1,5,2,3]=>[1,5,2,3,4,6,7]=>[1,5,2,3,4,6,7]=>([(3,6),(4,6),(5,6)],7)
[7,6,4,1,5,3,2]=>[1,5,2,3,4,6,7]=>[1,5,2,3,4,6,7]=>([(3,6),(4,6),(5,6)],7)
[7,6,4,2,1,3,5]=>[1,3,5,2,4,6,7]=>[1,5,3,2,4,6,7]=>([(3,6),(4,5),(4,6),(5,6)],7)
[7,6,4,2,1,5,3]=>[1,5,2,3,4,6,7]=>[1,5,2,3,4,6,7]=>([(3,6),(4,6),(5,6)],7)
[7,6,4,2,3,1,5]=>[1,5,2,3,4,6,7]=>[1,5,2,3,4,6,7]=>([(3,6),(4,6),(5,6)],7)
[7,6,4,2,3,5,1]=>[1,2,3,5,4,6,7]=>[1,2,3,5,4,6,7]=>([(5,6)],7)
[7,6,4,2,5,1,3]=>[1,3,2,5,4,6,7]=>[1,3,2,5,4,6,7]=>([(3,6),(4,5)],7)
[7,6,4,2,5,3,1]=>[1,2,5,3,4,6,7]=>[1,2,5,3,4,6,7]=>([(4,6),(5,6)],7)
[7,6,4,3,1,2,5]=>[1,2,5,3,4,6,7]=>[1,2,5,3,4,6,7]=>([(4,6),(5,6)],7)
[7,6,4,3,1,5,2]=>[1,5,2,3,4,6,7]=>[1,5,2,3,4,6,7]=>([(3,6),(4,6),(5,6)],7)
[7,6,4,3,2,1,5]=>[1,5,2,3,4,6,7]=>[1,5,2,3,4,6,7]=>([(3,6),(4,6),(5,6)],7)
[7,6,4,3,2,5,1]=>[1,2,5,3,4,6,7]=>[1,2,5,3,4,6,7]=>([(4,6),(5,6)],7)
[7,6,4,3,5,1,2]=>[1,2,3,5,4,6,7]=>[1,2,3,5,4,6,7]=>([(5,6)],7)
[7,6,4,3,5,2,1]=>[1,2,3,5,4,6,7]=>[1,2,3,5,4,6,7]=>([(5,6)],7)
[7,6,4,5,1,2,3]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>([],7)
[7,6,4,5,1,3,2]=>[1,3,2,4,5,6,7]=>[1,3,2,4,5,6,7]=>([(5,6)],7)
[7,6,4,5,2,1,3]=>[1,3,2,4,5,6,7]=>[1,3,2,4,5,6,7]=>([(5,6)],7)
[7,6,4,5,2,3,1]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>([],7)
[7,6,4,5,3,1,2]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>([],7)
[7,6,4,5,3,2,1]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>([],7)
[7,6,5,1,2,3,4]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>([],7)
[7,6,5,1,2,4,3]=>[1,2,4,3,5,6,7]=>[1,2,4,3,5,6,7]=>([(5,6)],7)
[7,6,5,1,3,2,4]=>[1,3,2,4,5,6,7]=>[1,3,2,4,5,6,7]=>([(5,6)],7)
[7,6,5,1,3,4,2]=>[1,3,4,2,5,6,7]=>[1,4,3,2,5,6,7]=>([(4,5),(4,6),(5,6)],7)
[7,6,5,1,4,2,3]=>[1,4,2,3,5,6,7]=>[1,4,2,3,5,6,7]=>([(4,6),(5,6)],7)
[7,6,5,1,4,3,2]=>[1,4,2,3,5,6,7]=>[1,4,2,3,5,6,7]=>([(4,6),(5,6)],7)
[7,6,5,2,1,3,4]=>[1,3,4,2,5,6,7]=>[1,4,3,2,5,6,7]=>([(4,5),(4,6),(5,6)],7)
[7,6,5,2,1,4,3]=>[1,4,2,3,5,6,7]=>[1,4,2,3,5,6,7]=>([(4,6),(5,6)],7)
[7,6,5,2,3,1,4]=>[1,4,2,3,5,6,7]=>[1,4,2,3,5,6,7]=>([(4,6),(5,6)],7)
[7,6,5,2,3,4,1]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>([],7)
[7,6,5,2,4,1,3]=>[1,3,2,4,5,6,7]=>[1,3,2,4,5,6,7]=>([(5,6)],7)
[7,6,5,2,4,3,1]=>[1,2,4,3,5,6,7]=>[1,2,4,3,5,6,7]=>([(5,6)],7)
[7,6,5,3,1,2,4]=>[1,2,4,3,5,6,7]=>[1,2,4,3,5,6,7]=>([(5,6)],7)
[7,6,5,3,1,4,2]=>[1,4,2,3,5,6,7]=>[1,4,2,3,5,6,7]=>([(4,6),(5,6)],7)
[7,6,5,3,2,1,4]=>[1,4,2,3,5,6,7]=>[1,4,2,3,5,6,7]=>([(4,6),(5,6)],7)
[7,6,5,3,2,4,1]=>[1,2,4,3,5,6,7]=>[1,2,4,3,5,6,7]=>([(5,6)],7)
[7,6,5,3,4,1,2]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>([],7)
[7,6,5,3,4,2,1]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>([],7)
[7,6,5,4,1,2,3]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>([],7)
[7,6,5,4,1,3,2]=>[1,3,2,4,5,6,7]=>[1,3,2,4,5,6,7]=>([(5,6)],7)
[7,6,5,4,2,1,3]=>[1,3,2,4,5,6,7]=>[1,3,2,4,5,6,7]=>([(5,6)],7)
[7,6,5,4,2,3,1]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>([],7)
[7,6,5,4,3,1,2]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>([],7)
[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>([],7)
[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>([],8)
[7,8,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>([],8)
[7,6,8,5,4,3,2,1]=>[1,2,3,4,5,6,8,7]=>[1,2,3,4,5,6,8,7]=>([(6,7)],8)
[6,7,8,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>([],8)
[7,8,5,6,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>([],8)
[7,6,5,8,4,3,2,1]=>[1,2,3,4,5,8,6,7]=>[1,2,3,4,5,8,6,7]=>([(5,7),(6,7)],8)
[7,5,6,8,4,3,2,1]=>[1,2,3,4,5,6,8,7]=>[1,2,3,4,5,6,8,7]=>([(6,7)],8)
[6,5,7,8,4,3,2,1]=>[1,2,3,4,5,7,8,6]=>[1,2,3,4,5,8,7,6]=>([(5,6),(5,7),(6,7)],8)
[5,6,7,8,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>([],8)
[8,7,6,4,5,3,2,1]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>([],8)
[7,8,6,4,5,3,2,1]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>([],8)
[8,6,7,4,5,3,2,1]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>([],8)
[7,6,5,4,8,3,2,1]=>[1,2,3,4,8,5,6,7]=>[1,2,3,4,8,5,6,7]=>([(4,7),(5,7),(6,7)],8)
[6,5,7,4,8,3,2,1]=>[1,2,3,4,8,5,7,6]=>[1,2,3,4,8,7,5,6]=>([(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,6,4,5,8,3,2,1]=>[1,2,3,4,5,8,6,7]=>[1,2,3,4,5,8,6,7]=>([(5,7),(6,7)],8)
[7,5,4,6,8,3,2,1]=>[1,2,3,4,6,8,5,7]=>[1,2,3,4,8,6,5,7]=>([(4,7),(5,6),(5,7),(6,7)],8)
[7,4,5,6,8,3,2,1]=>[1,2,3,4,5,6,8,7]=>[1,2,3,4,5,6,8,7]=>([(6,7)],8)
[4,5,6,7,8,3,2,1]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>([],8)
[8,7,6,5,3,4,2,1]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>([],8)
[7,8,6,5,3,4,2,1]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>([],8)
[8,6,7,5,3,4,2,1]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>([],8)
[8,7,5,6,3,4,2,1]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>([],8)
[5,6,7,8,3,4,2,1]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>([],8)
[6,7,8,3,4,5,2,1]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>([],8)
[8,7,5,4,3,6,2,1]=>[1,2,3,6,4,5,7,8]=>[1,2,3,6,4,5,7,8]=>([(5,7),(6,7)],8)
[7,6,5,4,3,8,2,1]=>[1,2,3,8,4,5,6,7]=>[1,2,3,8,4,5,6,7]=>([(3,7),(4,7),(5,7),(6,7)],8)
[6,4,5,7,3,8,2,1]=>[1,2,3,8,4,5,7,6]=>[1,2,3,8,4,7,5,6]=>([(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,4,6,7,3,8,2,1]=>[1,2,3,8,4,6,7,5]=>[1,2,3,8,7,4,6,5]=>([(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,5,6,7,3,8,2,1]=>[1,2,3,8,4,5,6,7]=>[1,2,3,8,4,5,6,7]=>([(3,7),(4,7),(5,7),(6,7)],8)
[7,6,5,3,4,8,2,1]=>[1,2,3,4,8,5,6,7]=>[1,2,3,4,8,5,6,7]=>([(4,7),(5,7),(6,7)],8)
[7,6,4,3,5,8,2,1]=>[1,2,3,5,8,4,6,7]=>[1,2,3,8,5,4,6,7]=>([(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[7,6,3,4,5,8,2,1]=>[1,2,3,4,5,8,6,7]=>[1,2,3,4,5,8,6,7]=>([(5,7),(6,7)],8)
[6,3,4,5,7,8,2,1]=>[1,2,3,4,5,7,8,6]=>[1,2,3,4,5,8,7,6]=>([(5,6),(5,7),(6,7)],8)
[4,3,5,6,7,8,2,1]=>[1,2,3,5,6,7,8,4]=>[1,2,3,8,5,6,7,4]=>([(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,7,6,5,4,2,3,1]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>([],8)
[7,8,6,5,4,2,3,1]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>([],8)
[8,6,7,5,4,2,3,1]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>([],8)
[8,7,5,6,4,2,3,1]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>([],8)
[5,6,7,8,4,2,3,1]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>([],8)
[8,7,6,4,5,2,3,1]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>([],8)
[8,6,7,4,5,2,3,1]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>([],8)
[4,5,6,7,8,2,3,1]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>([],8)
[8,7,6,5,3,2,4,1]=>[1,2,4,3,5,6,7,8]=>[1,2,4,3,5,6,7,8]=>([(6,7)],8)
[8,6,5,7,3,2,4,1]=>[1,2,4,3,5,7,6,8]=>[1,2,4,3,5,7,6,8]=>([(4,7),(5,6)],8)
[5,6,7,8,3,2,4,1]=>[1,2,4,3,5,6,7,8]=>[1,2,4,3,5,6,7,8]=>([(6,7)],8)
[8,7,6,5,2,3,4,1]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>([],8)
[6,7,8,5,2,3,4,1]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>([],8)
[8,5,6,7,2,3,4,1]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>([],8)
[5,6,7,8,2,3,4,1]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>([],8)
[7,8,3,2,4,5,6,1]=>[1,2,4,5,6,3,7,8]=>[1,2,6,4,5,3,7,8]=>([(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,6,5,4,3,2,8,1]=>[1,2,8,3,4,5,6,7]=>[1,2,8,3,4,5,6,7]=>([(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[6,7,5,4,3,2,8,1]=>[1,2,8,3,4,5,6,7]=>[1,2,8,3,4,5,6,7]=>([(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[4,5,6,7,3,2,8,1]=>[1,2,8,3,4,5,6,7]=>[1,2,8,3,4,5,6,7]=>([(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[6,5,4,3,7,2,8,1]=>[1,2,8,3,7,4,5,6]=>[1,2,8,7,4,5,3,6]=>([(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,4,6,3,7,2,8,1]=>[1,2,8,3,7,4,6,5]=>[1,2,8,7,6,4,3,5]=>([(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,5,3,4,7,2,8,1]=>[1,2,8,3,4,7,5,6]=>[1,2,8,3,7,5,4,6]=>([(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,6,5,4,2,3,8,1]=>[1,2,3,8,4,5,6,7]=>[1,2,3,8,4,5,6,7]=>([(3,7),(4,7),(5,7),(6,7)],8)
[6,7,4,5,2,3,8,1]=>[1,2,3,8,4,5,6,7]=>[1,2,3,8,4,5,6,7]=>([(3,7),(4,7),(5,7),(6,7)],8)
[6,4,5,7,2,3,8,1]=>[1,2,3,8,4,5,7,6]=>[1,2,3,8,4,7,5,6]=>([(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,5,6,7,2,3,8,1]=>[1,2,3,8,4,5,6,7]=>[1,2,3,8,4,5,6,7]=>([(3,7),(4,7),(5,7),(6,7)],8)
[7,6,5,3,2,4,8,1]=>[1,2,4,8,3,5,6,7]=>[1,2,8,4,3,5,6,7]=>([(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[7,6,5,2,3,4,8,1]=>[1,2,3,4,8,5,6,7]=>[1,2,3,4,8,5,6,7]=>([(4,7),(5,7),(6,7)],8)
[6,7,2,3,4,5,8,1]=>[1,2,3,4,5,8,6,7]=>[1,2,3,4,5,8,6,7]=>([(5,7),(6,7)],8)
[5,4,3,2,6,7,8,1]=>[1,2,6,7,8,3,4,5]=>[1,2,8,3,4,6,7,5]=>([(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,4,5,2,6,7,8,1]=>[1,2,6,7,8,3,4,5]=>[1,2,8,3,4,6,7,5]=>([(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,2,3,4,6,7,8,1]=>[1,2,3,4,6,7,8,5]=>[1,2,3,4,8,6,7,5]=>([(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,3,2,5,6,7,8,1]=>[1,2,5,6,7,8,3,4]=>[1,2,8,3,5,6,7,4]=>([(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,4,2,5,6,7,8,1]=>[1,2,5,6,7,8,3,4]=>[1,2,8,3,5,6,7,4]=>([(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,2,3,5,6,7,8,1]=>[1,2,3,5,6,7,8,4]=>[1,2,3,8,5,6,7,4]=>([(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,2,4,5,6,7,8,1]=>[1,2,4,5,6,7,8,3]=>[1,2,8,4,5,6,7,3]=>([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,3,4,5,6,7,8,1]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>([],8)
[8,7,6,5,4,3,1,2]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>([],8)
[7,8,6,5,4,3,1,2]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>([],8)
[8,6,7,5,4,3,1,2]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>([],8)
[8,7,5,6,4,3,1,2]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>([],8)
[6,5,7,8,4,3,1,2]=>[1,2,3,4,5,7,8,6]=>[1,2,3,4,5,8,7,6]=>([(5,6),(5,7),(6,7)],8)
[5,6,7,8,4,3,1,2]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>([],8)
[8,7,6,4,5,3,1,2]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>([],8)
[7,8,6,4,5,3,1,2]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>([],8)
[4,5,6,7,8,3,1,2]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>([],8)
[8,7,6,5,3,4,1,2]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>([],8)
[8,7,5,6,3,4,1,2]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>([],8)
[7,8,5,6,3,4,1,2]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>([],8)
[7,6,5,8,3,4,1,2]=>[1,2,3,4,5,8,6,7]=>[1,2,3,4,5,8,6,7]=>([(5,7),(6,7)],8)
[6,7,5,8,3,4,1,2]=>[1,2,3,4,5,8,6,7]=>[1,2,3,4,5,8,6,7]=>([(5,7),(6,7)],8)
[7,5,6,8,3,4,1,2]=>[1,2,3,4,5,6,8,7]=>[1,2,3,4,5,6,8,7]=>([(6,7)],8)
[6,5,7,8,3,4,1,2]=>[1,2,3,4,5,7,8,6]=>[1,2,3,4,5,8,7,6]=>([(5,6),(5,7),(6,7)],8)
[5,6,7,8,3,4,1,2]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>([],8)
[7,8,5,4,3,6,1,2]=>[1,2,3,6,4,5,7,8]=>[1,2,3,6,4,5,7,8]=>([(5,7),(6,7)],8)
[7,8,4,5,3,6,1,2]=>[1,2,3,6,4,5,7,8]=>[1,2,3,6,4,5,7,8]=>([(5,7),(6,7)],8)
[7,8,5,3,4,6,1,2]=>[1,2,3,4,6,5,7,8]=>[1,2,3,4,6,5,7,8]=>([(6,7)],8)
[7,8,4,3,5,6,1,2]=>[1,2,3,5,6,4,7,8]=>[1,2,3,6,5,4,7,8]=>([(5,6),(5,7),(6,7)],8)
[7,8,3,4,5,6,1,2]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>([],8)
[8,4,3,5,6,7,1,2]=>[1,2,3,5,6,7,4,8]=>[1,2,3,7,5,6,4,8]=>([(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,3,4,5,6,7,1,2]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>([],8)
[7,6,5,4,3,8,1,2]=>[1,2,3,8,4,5,6,7]=>[1,2,3,8,4,5,6,7]=>([(3,7),(4,7),(5,7),(6,7)],8)
[6,5,7,4,3,8,1,2]=>[1,2,3,8,4,5,7,6]=>[1,2,3,8,4,7,5,6]=>([(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,6,7,4,3,8,1,2]=>[1,2,3,8,4,5,6,7]=>[1,2,3,8,4,5,6,7]=>([(3,7),(4,7),(5,7),(6,7)],8)
[6,7,4,5,3,8,1,2]=>[1,2,3,8,4,5,6,7]=>[1,2,3,8,4,5,6,7]=>([(3,7),(4,7),(5,7),(6,7)],8)
[5,6,4,7,3,8,1,2]=>[1,2,3,8,4,7,5,6]=>[1,2,3,8,7,5,4,6]=>([(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,4,6,7,3,8,1,2]=>[1,2,3,8,4,6,7,5]=>[1,2,3,8,7,4,6,5]=>([(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,5,6,7,3,8,1,2]=>[1,2,3,8,4,5,6,7]=>[1,2,3,8,4,5,6,7]=>([(3,7),(4,7),(5,7),(6,7)],8)
[5,4,6,3,7,8,1,2]=>[1,2,3,7,8,4,6,5]=>[1,2,3,8,6,4,7,5]=>([(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[5,6,3,4,7,8,1,2]=>[1,2,3,4,7,8,5,6]=>[1,2,3,4,8,5,7,6]=>([(4,7),(5,6),(5,7),(6,7)],8)
[6,4,3,5,7,8,1,2]=>[1,2,3,5,7,8,4,6]=>[1,2,3,8,5,4,7,6]=>([(3,6),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[6,3,4,5,7,8,1,2]=>[1,2,3,4,5,7,8,6]=>[1,2,3,4,5,8,7,6]=>([(5,6),(5,7),(6,7)],8)
[5,4,3,6,7,8,1,2]=>[1,2,3,6,7,8,4,5]=>[1,2,3,8,4,6,7,5]=>([(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,5,3,6,7,8,1,2]=>[1,2,3,6,7,8,4,5]=>[1,2,3,8,4,6,7,5]=>([(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,3,5,6,7,8,1,2]=>[1,2,3,5,6,7,8,4]=>[1,2,3,8,5,6,7,4]=>([(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,4,5,6,7,8,1,2]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>([],8)
[8,7,6,5,4,2,1,3]=>[1,3,2,4,5,6,7,8]=>[1,3,2,4,5,6,7,8]=>([(6,7)],8)
[7,6,8,5,4,2,1,3]=>[1,3,2,4,5,6,8,7]=>[1,3,2,4,5,6,8,7]=>([(4,7),(5,6)],8)
[5,6,7,8,4,2,1,3]=>[1,3,2,4,5,6,7,8]=>[1,3,2,4,5,6,7,8]=>([(6,7)],8)
[4,5,6,7,8,2,1,3]=>[1,3,2,4,5,6,7,8]=>[1,3,2,4,5,6,7,8]=>([(6,7)],8)
[8,7,6,5,4,1,2,3]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>([],8)
[6,7,8,5,4,1,2,3]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>([],8)
[8,5,6,7,4,1,2,3]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>([],8)
[6,5,7,8,4,1,2,3]=>[1,2,3,4,5,7,8,6]=>[1,2,3,4,5,8,7,6]=>([(5,6),(5,7),(6,7)],8)
[5,6,7,8,4,1,2,3]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>([],8)
[8,7,6,4,5,1,2,3]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>([],8)
[8,6,7,4,5,1,2,3]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>([],8)
[8,7,4,5,6,1,2,3]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>([],8)
[7,8,4,5,6,1,2,3]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>([],8)
[6,7,4,5,8,1,2,3]=>[1,2,3,4,5,8,6,7]=>[1,2,3,4,5,8,6,7]=>([(5,7),(6,7)],8)
[6,5,4,7,8,1,2,3]=>[1,2,3,4,7,8,5,6]=>[1,2,3,4,8,5,7,6]=>([(4,7),(5,6),(5,7),(6,7)],8)
[4,5,6,7,8,1,2,3]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>([],8)
[8,7,6,5,3,2,1,4]=>[1,4,2,3,5,6,7,8]=>[1,4,2,3,5,6,7,8]=>([(5,7),(6,7)],8)
[7,8,5,6,3,2,1,4]=>[1,4,2,3,5,6,7,8]=>[1,4,2,3,5,6,7,8]=>([(5,7),(6,7)],8)
[7,6,5,8,3,2,1,4]=>[1,4,2,3,5,8,6,7]=>[1,4,2,3,5,8,6,7]=>([(2,7),(3,7),(4,6),(5,6)],8)
[5,6,7,8,3,2,1,4]=>[1,4,2,3,5,6,7,8]=>[1,4,2,3,5,6,7,8]=>([(5,7),(6,7)],8)
[8,7,6,5,2,3,1,4]=>[1,4,2,3,5,6,7,8]=>[1,4,2,3,5,6,7,8]=>([(5,7),(6,7)],8)
[7,8,5,6,2,3,1,4]=>[1,4,2,3,5,6,7,8]=>[1,4,2,3,5,6,7,8]=>([(5,7),(6,7)],8)
[6,7,5,8,2,3,1,4]=>[1,4,2,3,5,8,6,7]=>[1,4,2,3,5,8,6,7]=>([(2,7),(3,7),(4,6),(5,6)],8)
[7,5,6,8,2,3,1,4]=>[1,4,2,3,5,6,8,7]=>[1,4,2,3,5,6,8,7]=>([(3,4),(5,7),(6,7)],8)
[5,6,7,8,2,3,1,4]=>[1,4,2,3,5,6,7,8]=>[1,4,2,3,5,6,7,8]=>([(5,7),(6,7)],8)
[8,7,6,5,3,1,2,4]=>[1,2,4,3,5,6,7,8]=>[1,2,4,3,5,6,7,8]=>([(6,7)],8)
[7,8,5,6,3,1,2,4]=>[1,2,4,3,5,6,7,8]=>[1,2,4,3,5,6,7,8]=>([(6,7)],8)
[6,7,5,8,3,1,2,4]=>[1,2,4,3,5,8,6,7]=>[1,2,4,3,5,8,6,7]=>([(3,4),(5,7),(6,7)],8)
[7,5,6,8,3,1,2,4]=>[1,2,4,3,5,6,8,7]=>[1,2,4,3,5,6,8,7]=>([(4,7),(5,6)],8)
[5,6,7,8,3,1,2,4]=>[1,2,4,3,5,6,7,8]=>[1,2,4,3,5,6,7,8]=>([(6,7)],8)
[8,7,6,5,2,1,3,4]=>[1,3,4,2,5,6,7,8]=>[1,4,3,2,5,6,7,8]=>([(5,6),(5,7),(6,7)],8)
[7,8,6,5,2,1,3,4]=>[1,3,4,2,5,6,7,8]=>[1,4,3,2,5,6,7,8]=>([(5,6),(5,7),(6,7)],8)
[6,7,8,5,2,1,3,4]=>[1,3,4,2,5,6,7,8]=>[1,4,3,2,5,6,7,8]=>([(5,6),(5,7),(6,7)],8)
[7,8,5,6,2,1,3,4]=>[1,3,4,2,5,6,7,8]=>[1,4,3,2,5,6,7,8]=>([(5,6),(5,7),(6,7)],8)
[6,5,7,8,2,1,3,4]=>[1,3,4,2,5,7,8,6]=>[1,4,3,2,5,8,7,6]=>([(2,6),(2,7),(3,4),(3,5),(4,5),(6,7)],8)
[5,6,7,8,2,1,3,4]=>[1,3,4,2,5,6,7,8]=>[1,4,3,2,5,6,7,8]=>([(5,6),(5,7),(6,7)],8)
[8,7,6,5,1,2,3,4]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>([],8)
[7,8,6,5,1,2,3,4]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>([],8)
[8,6,7,5,1,2,3,4]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>([],8)
[7,6,8,5,1,2,3,4]=>[1,2,3,4,5,6,8,7]=>[1,2,3,4,5,6,8,7]=>([(6,7)],8)
[6,7,8,5,1,2,3,4]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>([],8)
[8,7,5,6,1,2,3,4]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>([],8)
[7,8,5,6,1,2,3,4]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>([],8)
[8,6,5,7,1,2,3,4]=>[1,2,3,4,5,7,6,8]=>[1,2,3,4,5,7,6,8]=>([(6,7)],8)
[8,5,6,7,1,2,3,4]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>([],8)
[7,6,5,8,1,2,3,4]=>[1,2,3,4,5,8,6,7]=>[1,2,3,4,5,8,6,7]=>([(5,7),(6,7)],8)
[6,7,5,8,1,2,3,4]=>[1,2,3,4,5,8,6,7]=>[1,2,3,4,5,8,6,7]=>([(5,7),(6,7)],8)
[7,5,6,8,1,2,3,4]=>[1,2,3,4,5,6,8,7]=>[1,2,3,4,5,6,8,7]=>([(6,7)],8)
[6,5,7,8,1,2,3,4]=>[1,2,3,4,5,7,8,6]=>[1,2,3,4,5,8,7,6]=>([(5,6),(5,7),(6,7)],8)
[5,6,7,8,1,2,3,4]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>([],8)
[8,7,6,4,3,2,1,5]=>[1,5,2,3,4,6,7,8]=>[1,5,2,3,4,6,7,8]=>([(4,7),(5,7),(6,7)],8)
[6,7,8,4,3,2,1,5]=>[1,5,2,3,4,6,7,8]=>[1,5,2,3,4,6,7,8]=>([(4,7),(5,7),(6,7)],8)
[8,7,6,3,4,2,1,5]=>[1,5,2,3,4,6,7,8]=>[1,5,2,3,4,6,7,8]=>([(4,7),(5,7),(6,7)],8)
[6,7,8,3,4,2,1,5]=>[1,5,2,3,4,6,7,8]=>[1,5,2,3,4,6,7,8]=>([(4,7),(5,7),(6,7)],8)
[8,7,6,4,2,3,1,5]=>[1,5,2,3,4,6,7,8]=>[1,5,2,3,4,6,7,8]=>([(4,7),(5,7),(6,7)],8)
[6,7,8,4,2,3,1,5]=>[1,5,2,3,4,6,7,8]=>[1,5,2,3,4,6,7,8]=>([(4,7),(5,7),(6,7)],8)
[8,7,6,3,2,4,1,5]=>[1,5,2,4,3,6,7,8]=>[1,5,4,2,3,6,7,8]=>([(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,7,8,3,2,4,1,5]=>[1,5,2,4,3,6,7,8]=>[1,5,4,2,3,6,7,8]=>([(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,7,6,2,3,4,1,5]=>[1,5,2,3,4,6,7,8]=>[1,5,2,3,4,6,7,8]=>([(4,7),(5,7),(6,7)],8)
[6,7,8,2,3,4,1,5]=>[1,5,2,3,4,6,7,8]=>[1,5,2,3,4,6,7,8]=>([(4,7),(5,7),(6,7)],8)
[8,7,6,4,3,1,2,5]=>[1,2,5,3,4,6,7,8]=>[1,2,5,3,4,6,7,8]=>([(5,7),(6,7)],8)
[6,7,8,4,3,1,2,5]=>[1,2,5,3,4,6,7,8]=>[1,2,5,3,4,6,7,8]=>([(5,7),(6,7)],8)
[8,7,6,3,4,1,2,5]=>[1,2,5,3,4,6,7,8]=>[1,2,5,3,4,6,7,8]=>([(5,7),(6,7)],8)
[6,7,8,3,4,1,2,5]=>[1,2,5,3,4,6,7,8]=>[1,2,5,3,4,6,7,8]=>([(5,7),(6,7)],8)
[8,7,6,4,2,1,3,5]=>[1,3,5,2,4,6,7,8]=>[1,5,3,2,4,6,7,8]=>([(4,7),(5,6),(5,7),(6,7)],8)
[6,7,8,4,2,1,3,5]=>[1,3,5,2,4,6,7,8]=>[1,5,3,2,4,6,7,8]=>([(4,7),(5,6),(5,7),(6,7)],8)
[8,7,6,4,1,2,3,5]=>[1,2,3,5,4,6,7,8]=>[1,2,3,5,4,6,7,8]=>([(6,7)],8)
[6,7,8,4,1,2,3,5]=>[1,2,3,5,4,6,7,8]=>[1,2,3,5,4,6,7,8]=>([(6,7)],8)
[8,7,6,3,2,1,4,5]=>[1,4,5,2,3,6,7,8]=>[1,5,2,4,3,6,7,8]=>([(4,7),(5,6),(5,7),(6,7)],8)
[6,7,8,3,2,1,4,5]=>[1,4,5,2,3,6,7,8]=>[1,5,2,4,3,6,7,8]=>([(4,7),(5,6),(5,7),(6,7)],8)
[8,7,6,2,3,1,4,5]=>[1,4,5,2,3,6,7,8]=>[1,5,2,4,3,6,7,8]=>([(4,7),(5,6),(5,7),(6,7)],8)
[6,7,8,2,3,1,4,5]=>[1,4,5,2,3,6,7,8]=>[1,5,2,4,3,6,7,8]=>([(4,7),(5,6),(5,7),(6,7)],8)
[8,7,6,3,1,2,4,5]=>[1,2,4,5,3,6,7,8]=>[1,2,5,4,3,6,7,8]=>([(5,6),(5,7),(6,7)],8)
[6,7,8,3,1,2,4,5]=>[1,2,4,5,3,6,7,8]=>[1,2,5,4,3,6,7,8]=>([(5,6),(5,7),(6,7)],8)
[8,7,6,2,1,3,4,5]=>[1,3,4,5,2,6,7,8]=>[1,5,3,4,2,6,7,8]=>([(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,7,8,2,1,3,4,5]=>[1,3,4,5,2,6,7,8]=>[1,5,3,4,2,6,7,8]=>([(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,7,6,1,2,3,4,5]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>([],8)
[7,8,6,1,2,3,4,5]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>([],8)
[8,6,7,1,2,3,4,5]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>([],8)
[7,6,8,1,2,3,4,5]=>[1,2,3,4,5,6,8,7]=>[1,2,3,4,5,6,8,7]=>([(6,7)],8)
[6,7,8,1,2,3,4,5]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>([],8)
[7,8,5,4,3,2,1,6]=>[1,6,2,3,4,5,7,8]=>[1,6,2,3,4,5,7,8]=>([(3,7),(4,7),(5,7),(6,7)],8)
[7,8,4,5,2,3,1,6]=>[1,6,2,3,4,5,7,8]=>[1,6,2,3,4,5,7,8]=>([(3,7),(4,7),(5,7),(6,7)],8)
[7,8,3,4,2,5,1,6]=>[1,6,2,5,3,4,7,8]=>[1,6,5,3,2,4,7,8]=>([(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,8,5,4,2,1,3,6]=>[1,3,6,2,4,5,7,8]=>[1,6,3,2,4,5,7,8]=>([(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[7,8,5,4,1,2,3,6]=>[1,2,3,6,4,5,7,8]=>[1,2,3,6,4,5,7,8]=>([(5,7),(6,7)],8)
[7,8,4,5,1,2,3,6]=>[1,2,3,6,4,5,7,8]=>[1,2,3,6,4,5,7,8]=>([(5,7),(6,7)],8)
[8,7,5,2,1,3,4,6]=>[1,3,4,6,2,5,7,8]=>[1,6,3,4,2,5,7,8]=>([(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,8,5,2,1,3,4,6]=>[1,3,4,6,2,5,7,8]=>[1,6,3,4,2,5,7,8]=>([(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,7,5,1,2,3,4,6]=>[1,2,3,4,6,5,7,8]=>[1,2,3,4,6,5,7,8]=>([(6,7)],8)
[7,8,5,1,2,3,4,6]=>[1,2,3,4,6,5,7,8]=>[1,2,3,4,6,5,7,8]=>([(6,7)],8)
[7,8,3,4,1,2,5,6]=>[1,2,5,6,3,4,7,8]=>[1,2,6,3,5,4,7,8]=>([(4,7),(5,6),(5,7),(6,7)],8)
[7,8,4,2,1,3,5,6]=>[1,3,5,6,2,4,7,8]=>[1,6,3,2,5,4,7,8]=>([(3,6),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[8,7,4,1,2,3,5,6]=>[1,2,3,5,6,4,7,8]=>[1,2,3,6,5,4,7,8]=>([(5,6),(5,7),(6,7)],8)
[8,7,3,2,1,4,5,6]=>[1,4,5,6,2,3,7,8]=>[1,6,2,4,5,3,7,8]=>([(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,8,3,2,1,4,5,6]=>[1,4,5,6,2,3,7,8]=>[1,6,2,4,5,3,7,8]=>([(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,8,2,1,3,4,5,6]=>[1,3,4,5,6,2,7,8]=>[1,6,3,4,5,2,7,8]=>([(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,7,1,2,3,4,5,6]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>([],8)
[7,8,1,2,3,4,5,6]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>([],8)
[8,6,5,4,3,2,1,7]=>[1,7,2,3,4,5,6,8]=>[1,7,2,3,4,5,6,8]=>([(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[8,4,5,6,3,2,1,7]=>[1,7,2,3,4,5,6,8]=>[1,7,2,3,4,5,6,8]=>([(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[8,6,5,4,3,1,2,7]=>[1,2,7,3,4,5,6,8]=>[1,2,7,3,4,5,6,8]=>([(3,7),(4,7),(5,7),(6,7)],8)
[8,5,6,3,4,1,2,7]=>[1,2,7,3,4,5,6,8]=>[1,2,7,3,4,5,6,8]=>([(3,7),(4,7),(5,7),(6,7)],8)
[8,3,4,5,6,1,2,7]=>[1,2,7,3,4,5,6,8]=>[1,2,7,3,4,5,6,8]=>([(3,7),(4,7),(5,7),(6,7)],8)
[8,6,5,4,2,1,3,7]=>[1,3,7,2,4,5,6,8]=>[1,7,3,2,4,5,6,8]=>([(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[8,6,4,5,1,2,3,7]=>[1,2,3,7,4,5,6,8]=>[1,2,3,7,4,5,6,8]=>([(4,7),(5,7),(6,7)],8)
[8,6,5,2,3,1,4,7]=>[1,4,7,2,3,5,6,8]=>[1,7,2,4,3,5,6,8]=>([(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[8,5,6,2,3,1,4,7]=>[1,4,7,2,3,5,6,8]=>[1,7,2,4,3,5,6,8]=>([(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[8,5,6,2,1,3,4,7]=>[1,3,4,7,2,5,6,8]=>[1,7,3,4,2,5,6,8]=>([(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,6,5,1,2,3,4,7]=>[1,2,3,4,7,5,6,8]=>[1,2,3,4,7,5,6,8]=>([(5,7),(6,7)],8)
[8,5,6,1,2,3,4,7]=>[1,2,3,4,7,5,6,8]=>[1,2,3,4,7,5,6,8]=>([(5,7),(6,7)],8)
[8,6,4,3,2,1,5,7]=>[1,5,7,2,3,4,6,8]=>[1,7,2,3,5,4,6,8]=>([(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[8,6,3,4,2,1,5,7]=>[1,5,7,2,3,4,6,8]=>[1,7,2,3,5,4,6,8]=>([(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[8,6,4,2,1,3,5,7]=>[1,3,5,7,2,4,6,8]=>[1,7,3,2,5,4,6,8]=>([(2,7),(3,6),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[8,4,1,2,3,5,6,7]=>[1,2,3,5,6,7,4,8]=>[1,2,3,7,5,6,4,8]=>([(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,3,2,1,4,5,6,7]=>[1,4,5,6,7,2,3,8]=>[1,7,2,4,5,6,3,8]=>([(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,2,3,1,4,5,6,7]=>[1,4,5,6,7,2,3,8]=>[1,7,2,4,5,6,3,8]=>([(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,2,1,3,4,5,6,7]=>[1,3,4,5,6,7,2,8]=>[1,7,3,4,5,6,2,8]=>([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>([],8)
[7,6,5,4,3,2,1,8]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>([(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[6,7,5,4,3,2,1,8]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>([(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[6,5,7,4,3,2,1,8]=>[1,8,2,3,4,5,7,6]=>[1,8,2,3,4,7,5,6]=>([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,6,7,4,3,2,1,8]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>([(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[7,6,4,5,3,2,1,8]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>([(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[7,4,5,6,3,2,1,8]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>([(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[6,5,4,7,3,2,1,8]=>[1,8,2,3,4,7,5,6]=>[1,8,2,3,7,5,4,6]=>([(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,5,6,7,3,2,1,8]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>([(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[7,5,6,3,4,2,1,8]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>([(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[5,6,7,3,4,2,1,8]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>([(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[7,6,4,3,5,2,1,8]=>[1,8,2,3,5,4,6,7]=>[1,8,2,5,3,4,6,7]=>([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,6,3,4,5,2,1,8]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>([(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[7,5,4,3,6,2,1,8]=>[1,8,2,3,6,4,5,7]=>[1,8,2,6,4,3,5,7]=>([(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,7,5,4,2,3,1,8]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>([(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[5,6,7,4,2,3,1,8]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>([(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[7,6,4,5,2,3,1,8]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>([(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[6,7,4,5,2,3,1,8]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>([(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[7,4,5,6,2,3,1,8]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>([(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[5,6,4,7,2,3,1,8]=>[1,8,2,3,4,7,5,6]=>[1,8,2,3,7,5,4,6]=>([(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,5,6,7,2,3,1,8]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>([(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[6,5,7,3,2,4,1,8]=>[1,8,2,4,3,5,7,6]=>[1,8,4,2,3,7,5,6]=>([(1,6),(1,7),(2,6),(2,7),(3,5),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[5,6,7,3,2,4,1,8]=>[1,8,2,4,3,5,6,7]=>[1,8,4,2,3,5,6,7]=>([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,6,5,2,3,4,1,8]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>([(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[6,7,5,2,3,4,1,8]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>([(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[7,5,6,2,3,4,1,8]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>([(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[6,5,7,2,3,4,1,8]=>[1,8,2,3,4,5,7,6]=>[1,8,2,3,4,7,5,6]=>([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,6,7,2,3,4,1,8]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>([(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[6,7,3,4,2,5,1,8]=>[1,8,2,5,3,4,6,7]=>[1,8,5,3,2,4,6,7]=>([(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,4,5,2,3,6,1,8]=>[1,8,2,3,6,4,5,7]=>[1,8,2,6,4,3,5,7]=>([(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,6,3,4,2,7,1,8]=>[1,8,2,7,3,4,5,6]=>[1,8,7,3,4,5,2,6]=>([(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,5,3,6,2,7,1,8]=>[1,8,2,7,3,6,4,5]=>[1,8,7,6,4,3,2,5]=>([(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,2,4,5,6,7,1,8]=>[1,8,2,4,5,6,7,3]=>[1,8,7,2,4,5,6,3]=>([(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,3,4,5,6,7,1,8]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>([(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[7,6,5,4,3,1,2,8]=>[1,2,8,3,4,5,6,7]=>[1,2,8,3,4,5,6,7]=>([(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[7,5,6,4,3,1,2,8]=>[1,2,8,3,4,5,6,7]=>[1,2,8,3,4,5,6,7]=>([(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[7,4,5,6,3,1,2,8]=>[1,2,8,3,4,5,6,7]=>[1,2,8,3,4,5,6,7]=>([(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[4,5,6,7,3,1,2,8]=>[1,2,8,3,4,5,6,7]=>[1,2,8,3,4,5,6,7]=>([(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[7,6,5,4,2,1,3,8]=>[1,3,8,2,4,5,6,7]=>[1,8,3,2,4,5,6,7]=>([(1,7),(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[6,5,7,4,2,1,3,8]=>[1,3,8,2,4,5,7,6]=>[1,8,3,2,4,7,5,6]=>([(1,7),(2,3),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,5,4,6,2,1,3,8]=>[1,3,8,2,4,6,5,7]=>[1,8,3,2,6,4,5,7]=>([(1,7),(2,3),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,4,5,6,2,1,3,8]=>[1,3,8,2,4,5,6,7]=>[1,8,3,2,4,5,6,7]=>([(1,7),(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[4,5,6,7,2,1,3,8]=>[1,3,8,2,4,5,6,7]=>[1,8,3,2,4,5,6,7]=>([(1,7),(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[7,6,5,4,1,2,3,8]=>[1,2,3,8,4,5,6,7]=>[1,2,3,8,4,5,6,7]=>([(3,7),(4,7),(5,7),(6,7)],8)
[5,6,7,4,1,2,3,8]=>[1,2,3,8,4,5,6,7]=>[1,2,3,8,4,5,6,7]=>([(3,7),(4,7),(5,7),(6,7)],8)
[7,4,5,6,1,2,3,8]=>[1,2,3,8,4,5,6,7]=>[1,2,3,8,4,5,6,7]=>([(3,7),(4,7),(5,7),(6,7)],8)
[5,6,4,7,1,2,3,8]=>[1,2,3,8,4,7,5,6]=>[1,2,3,8,7,5,4,6]=>([(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,4,6,7,1,2,3,8]=>[1,2,3,8,4,6,7,5]=>[1,2,3,8,7,4,6,5]=>([(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,5,6,7,1,2,3,8]=>[1,2,3,8,4,5,6,7]=>[1,2,3,8,4,5,6,7]=>([(3,7),(4,7),(5,7),(6,7)],8)
[5,6,7,3,1,2,4,8]=>[1,2,4,8,3,5,6,7]=>[1,2,8,4,3,5,6,7]=>([(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[5,6,7,2,1,3,4,8]=>[1,3,4,8,2,5,6,7]=>[1,8,3,4,2,5,6,7]=>([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,6,5,1,2,3,4,8]=>[1,2,3,4,8,5,6,7]=>[1,2,3,4,8,5,6,7]=>([(4,7),(5,7),(6,7)],8)
[6,7,5,1,2,3,4,8]=>[1,2,3,4,8,5,6,7]=>[1,2,3,4,8,5,6,7]=>([(4,7),(5,7),(6,7)],8)
[7,5,6,1,2,3,4,8]=>[1,2,3,4,8,5,6,7]=>[1,2,3,4,8,5,6,7]=>([(4,7),(5,7),(6,7)],8)
[6,5,7,1,2,3,4,8]=>[1,2,3,4,8,5,7,6]=>[1,2,3,4,8,7,5,6]=>([(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,6,7,1,2,3,4,8]=>[1,2,3,4,8,5,6,7]=>[1,2,3,4,8,5,6,7]=>([(4,7),(5,7),(6,7)],8)
[7,6,4,3,2,1,5,8]=>[1,5,8,2,3,4,6,7]=>[1,8,2,3,5,4,6,7]=>([(1,7),(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[7,6,4,3,1,2,5,8]=>[1,2,5,8,3,4,6,7]=>[1,2,8,3,5,4,6,7]=>([(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[6,7,1,2,3,4,5,8]=>[1,2,3,4,5,8,6,7]=>[1,2,3,4,5,8,6,7]=>([(5,7),(6,7)],8)
[7,5,3,1,2,4,6,8]=>[1,2,4,6,8,3,5,7]=>[1,2,8,4,3,6,5,7]=>([(2,7),(3,6),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[7,5,1,2,3,4,6,8]=>[1,2,3,4,6,8,5,7]=>[1,2,3,4,8,6,5,7]=>([(4,7),(5,6),(5,7),(6,7)],8)
[7,4,3,2,1,5,6,8]=>[1,5,6,8,2,3,4,7]=>[1,8,2,3,5,6,4,7]=>([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,3,1,2,4,5,6,8]=>[1,2,4,5,6,8,3,7]=>[1,2,8,4,5,6,3,7]=>([(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,2,1,3,4,5,6,8]=>[1,3,4,5,6,8,2,7]=>[1,8,3,4,5,6,2,7]=>([(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,1,2,3,4,5,6,8]=>[1,2,3,4,5,6,8,7]=>[1,2,3,4,5,6,8,7]=>([(6,7)],8)
[6,5,4,3,2,1,7,8]=>[1,7,8,2,3,4,5,6]=>[1,8,2,3,4,5,7,6]=>([(1,7),(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[2,3,4,5,6,1,7,8]=>[1,7,8,2,3,4,5,6]=>[1,8,2,3,4,5,7,6]=>([(1,7),(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[5,6,4,3,1,2,7,8]=>[1,2,7,8,3,4,5,6]=>[1,2,8,3,4,5,7,6]=>([(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[5,4,6,3,1,2,7,8]=>[1,2,7,8,3,4,6,5]=>[1,2,8,3,6,4,7,5]=>([(2,7),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[5,6,3,4,1,2,7,8]=>[1,2,7,8,3,4,5,6]=>[1,2,8,3,4,5,7,6]=>([(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[5,4,3,6,1,2,7,8]=>[1,2,7,8,3,6,4,5]=>[1,2,8,6,4,3,7,5]=>([(2,5),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,6,4,2,1,3,7,8]=>[1,3,7,8,2,4,5,6]=>[1,8,3,2,4,5,7,6]=>([(1,7),(2,7),(3,6),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[5,4,6,2,1,3,7,8]=>[1,3,7,8,2,4,6,5]=>[1,8,3,2,6,4,7,5]=>([(1,2),(1,7),(2,7),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[4,5,6,1,2,3,7,8]=>[1,2,3,7,8,4,5,6]=>[1,2,3,8,4,5,7,6]=>([(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[6,4,3,1,2,5,7,8]=>[1,2,5,7,8,3,4,6]=>[1,2,8,3,5,4,7,6]=>([(2,7),(3,6),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[6,4,1,2,3,5,7,8]=>[1,2,3,5,7,8,4,6]=>[1,2,3,8,5,4,7,6]=>([(3,6),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[6,1,2,3,4,5,7,8]=>[1,2,3,4,5,7,8,6]=>[1,2,3,4,5,8,7,6]=>([(5,6),(5,7),(6,7)],8)
[5,4,3,2,1,6,7,8]=>[1,6,7,8,2,3,4,5]=>[1,8,2,3,4,6,7,5]=>([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,5,2,3,1,6,7,8]=>[1,6,7,8,2,3,4,5]=>[1,8,2,3,4,6,7,5]=>([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,2,3,4,1,6,7,8]=>[1,6,7,8,2,3,4,5]=>[1,8,2,3,4,6,7,5]=>([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,3,4,5,1,6,7,8]=>[1,6,7,8,2,3,4,5]=>[1,8,2,3,4,6,7,5]=>([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,3,1,2,4,6,7,8]=>[1,2,4,6,7,8,3,5]=>[1,2,8,4,3,6,7,5]=>([(2,3),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,1,2,3,4,6,7,8]=>[1,2,3,4,6,7,8,5]=>[1,2,3,4,8,6,7,5]=>([(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,3,2,1,5,6,7,8]=>[1,5,6,7,8,2,3,4]=>[1,8,2,3,5,6,7,4]=>([(1,7),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,2,4,1,5,6,7,8]=>[1,5,6,7,8,2,4,3]=>[1,8,4,2,5,6,7,3]=>([(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[2,3,4,1,5,6,7,8]=>[1,5,6,7,8,2,3,4]=>[1,8,2,3,5,6,7,4]=>([(1,7),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,4,1,2,5,6,7,8]=>[1,2,5,6,7,8,3,4]=>[1,2,8,3,5,6,7,4]=>([(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,1,2,3,5,6,7,8]=>[1,2,3,5,6,7,8,4]=>[1,2,3,8,5,6,7,4]=>([(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,2,1,4,5,6,7,8]=>[1,4,5,6,7,8,2,3]=>[1,8,2,4,5,6,7,3]=>([(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,1,2,4,5,6,7,8]=>[1,2,4,5,6,7,8,3]=>[1,2,8,4,5,6,7,3]=>([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,1,3,4,5,6,7,8]=>[1,3,4,5,6,7,8,2]=>[1,8,3,4,5,6,7,2]=>([(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>([],8)
[5,8,7,6,4,3,2,1]=>[1,2,3,4,5,8,6,7]=>[1,2,3,4,5,8,6,7]=>([(5,7),(6,7)],8)
[6,5,8,7,4,3,2,1]=>[1,2,3,4,5,8,6,7]=>[1,2,3,4,5,8,6,7]=>([(5,7),(6,7)],8)
[4,8,7,6,5,3,2,1]=>[1,2,3,4,8,5,6,7]=>[1,2,3,4,8,5,6,7]=>([(4,7),(5,7),(6,7)],8)
[4,7,6,5,8,3,2,1]=>[1,2,3,4,7,5,8,6]=>[1,2,3,4,7,8,5,6]=>([(4,6),(4,7),(5,6),(5,7)],8)
[3,7,6,8,5,4,2,1]=>[1,2,3,7,4,5,6,8]=>[1,2,3,7,4,5,6,8]=>([(4,7),(5,7),(6,7)],8)
[3,5,8,7,6,4,2,1]=>[1,2,3,5,8,4,6,7]=>[1,2,3,8,5,4,6,7]=>([(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[3,5,6,8,7,4,2,1]=>[1,2,3,5,6,8,4,7]=>[1,2,3,8,5,6,4,7]=>([(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,5,6,7,8,4,2,1]=>[1,2,3,5,6,7,8,4]=>[1,2,3,8,5,6,7,4]=>([(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,4,8,7,6,5,2,1]=>[1,2,3,4,8,5,6,7]=>[1,2,3,4,8,5,6,7]=>([(4,7),(5,7),(6,7)],8)
[3,4,5,8,7,6,2,1]=>[1,2,3,4,5,8,6,7]=>[1,2,3,4,5,8,6,7]=>([(5,7),(6,7)],8)
[4,3,6,5,8,7,2,1]=>[1,2,3,6,4,5,8,7]=>[1,2,3,6,4,5,8,7]=>([(3,4),(5,7),(6,7)],8)
[5,7,6,4,3,8,2,1]=>[1,2,3,8,4,5,7,6]=>[1,2,3,8,4,7,5,6]=>([(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,7,8,6,5,4,3,1]=>[1,2,7,8,3,4,5,6]=>[1,2,8,3,4,5,7,6]=>([(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[2,6,8,7,5,4,3,1]=>[1,2,6,8,3,4,5,7]=>[1,2,8,3,4,6,5,7]=>([(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[2,5,6,7,8,4,3,1]=>[1,2,5,6,7,8,3,4]=>[1,2,8,3,5,6,7,4]=>([(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,4,8,7,6,5,3,1]=>[1,2,4,8,3,5,6,7]=>[1,2,8,4,3,5,6,7]=>([(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[2,4,6,8,7,5,3,1]=>[1,2,4,6,8,3,5,7]=>[1,2,8,4,3,6,5,7]=>([(2,7),(3,6),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[2,7,6,5,4,8,3,1]=>[1,2,7,3,4,8,5,6]=>[1,2,7,3,8,5,4,6]=>([(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[2,3,5,6,8,7,4,1]=>[1,2,3,5,6,8,4,7]=>[1,2,3,8,5,6,4,7]=>([(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,3,5,6,7,8,4,1]=>[1,2,3,5,6,7,8,4]=>[1,2,3,8,5,6,7,4]=>([(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,3,2,8,7,6,5,1]=>[1,2,8,3,4,5,6,7]=>[1,2,8,3,4,5,6,7]=>([(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[3,4,2,8,7,6,5,1]=>[1,2,8,3,4,5,6,7]=>[1,2,8,3,4,5,6,7]=>([(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[2,4,3,8,7,6,5,1]=>[1,2,4,3,8,5,6,7]=>[1,2,4,3,8,5,6,7]=>([(2,3),(4,7),(5,7),(6,7)],8)
[3,2,4,8,7,6,5,1]=>[1,2,4,8,3,5,6,7]=>[1,2,8,4,3,5,6,7]=>([(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[2,3,4,8,7,6,5,1]=>[1,2,3,4,8,5,6,7]=>[1,2,3,4,8,5,6,7]=>([(4,7),(5,7),(6,7)],8)
[5,4,3,2,8,7,6,1]=>[1,2,8,3,4,5,6,7]=>[1,2,8,3,4,5,6,7]=>([(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[5,4,3,2,7,8,6,1]=>[1,2,7,8,3,4,5,6]=>[1,2,8,3,4,5,7,6]=>([(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[2,5,4,3,8,7,6,1]=>[1,2,5,3,8,4,6,7]=>[1,2,5,8,3,4,6,7]=>([(2,7),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[2,5,4,3,7,8,6,1]=>[1,2,5,3,7,8,4,6]=>[1,2,5,8,3,4,7,6]=>([(2,5),(2,6),(3,4),(3,7),(4,7),(5,7),(6,7)],8)
[2,4,5,3,7,8,6,1]=>[1,2,4,5,3,7,8,6]=>[1,2,5,4,3,8,7,6]=>([(2,6),(2,7),(3,4),(3,5),(4,5),(6,7)],8)
[3,4,2,5,7,8,6,1]=>[1,2,5,7,8,3,4,6]=>[1,2,8,3,5,4,7,6]=>([(2,7),(3,6),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[4,3,6,5,2,8,7,1]=>[1,2,8,3,6,4,5,7]=>[1,2,8,6,4,3,5,7]=>([(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,2,6,5,4,8,7,1]=>[1,2,6,3,4,8,5,7]=>[1,2,6,3,8,4,5,7]=>([(2,7),(3,6),(4,6),(4,7),(5,6),(5,7)],8)
[2,4,3,6,5,8,7,1]=>[1,2,4,3,6,5,8,7]=>[1,2,4,3,6,5,8,7]=>([(2,7),(3,6),(4,5)],8)
[5,4,3,2,6,8,7,1]=>[1,2,6,8,3,4,5,7]=>[1,2,8,3,4,6,5,7]=>([(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[2,5,4,3,6,8,7,1]=>[1,2,5,3,6,8,4,7]=>[1,2,5,8,3,6,4,7]=>([(2,7),(3,4),(3,7),(4,6),(5,6),(5,7),(6,7)],8)
[2,4,3,5,6,8,7,1]=>[1,2,4,3,5,6,8,7]=>[1,2,4,3,5,6,8,7]=>([(4,7),(5,6)],8)
[2,3,4,5,6,8,7,1]=>[1,2,3,4,5,6,8,7]=>[1,2,3,4,5,6,8,7]=>([(6,7)],8)
[4,3,6,5,7,2,8,1]=>[1,2,8,3,6,4,5,7]=>[1,2,8,6,4,3,5,7]=>([(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,5,4,7,6,3,8,1]=>[1,2,5,3,8,4,7,6]=>[1,2,5,8,3,7,4,6]=>([(2,3),(2,7),(3,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,5,4,6,7,3,8,1]=>[1,2,5,3,8,4,6,7]=>[1,2,5,8,3,4,6,7]=>([(2,7),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[3,2,6,5,7,4,8,1]=>[1,2,6,3,4,8,5,7]=>[1,2,6,3,8,4,5,7]=>([(2,7),(3,6),(4,6),(4,7),(5,6),(5,7)],8)
[4,3,2,7,6,5,8,1]=>[1,2,7,3,4,5,8,6]=>[1,2,7,3,4,8,5,6]=>([(2,7),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[3,4,2,7,6,5,8,1]=>[1,2,7,3,4,5,8,6]=>[1,2,7,3,4,8,5,6]=>([(2,7),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[3,4,2,6,7,5,8,1]=>[1,2,6,7,3,4,5,8]=>[1,2,7,3,4,6,5,8]=>([(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[2,4,3,7,6,5,8,1]=>[1,2,4,3,7,5,8,6]=>[1,2,4,3,7,8,5,6]=>([(2,3),(4,6),(4,7),(5,6),(5,7)],8)
[2,3,4,7,6,5,8,1]=>[1,2,3,4,7,5,8,6]=>[1,2,3,4,7,8,5,6]=>([(4,6),(4,7),(5,6),(5,7)],8)
[5,4,3,2,7,6,8,1]=>[1,2,7,3,4,5,6,8]=>[1,2,7,3,4,5,6,8]=>([(3,7),(4,7),(5,7),(6,7)],8)
[4,3,5,2,7,6,8,1]=>[1,2,7,3,5,4,6,8]=>[1,2,7,5,3,4,6,8]=>([(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,5,4,3,7,6,8,1]=>[1,2,5,3,7,4,6,8]=>[1,2,5,7,3,4,6,8]=>([(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[3,2,5,4,7,6,8,1]=>[1,2,5,3,4,7,6,8]=>[1,2,5,3,4,7,6,8]=>([(3,4),(5,7),(6,7)],8)
[2,3,5,4,7,6,8,1]=>[1,2,3,5,4,7,6,8]=>[1,2,3,5,4,7,6,8]=>([(4,7),(5,6)],8)
[2,4,3,6,5,7,8,1]=>[1,2,4,3,6,5,7,8]=>[1,2,4,3,6,5,7,8]=>([(4,7),(5,6)],8)
[2,5,4,3,6,7,8,1]=>[1,2,5,3,6,7,8,4]=>[1,2,5,8,3,6,7,4]=>([(2,3),(2,7),(3,6),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,8,7,6,5,4,3,2]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>([(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[1,7,8,6,5,4,3,2]=>[1,7,8,2,3,4,5,6]=>[1,8,2,3,4,5,7,6]=>([(1,7),(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[1,6,8,7,5,4,3,2]=>[1,6,8,2,3,4,5,7]=>[1,8,2,3,4,6,5,7]=>([(1,7),(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[1,7,6,8,5,4,3,2]=>[1,7,2,3,4,5,6,8]=>[1,7,2,3,4,5,6,8]=>([(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[1,6,7,8,5,4,3,2]=>[1,6,7,8,2,3,4,5]=>[1,8,2,3,4,6,7,5]=>([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,5,8,7,6,4,3,2]=>[1,5,8,2,3,4,6,7]=>[1,8,2,3,5,4,6,7]=>([(1,7),(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[1,7,6,5,8,4,3,2]=>[1,7,2,3,4,5,8,6]=>[1,7,2,3,4,8,5,6]=>([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[1,5,6,7,8,4,3,2]=>[1,5,6,7,8,2,3,4]=>[1,8,2,3,5,6,7,4]=>([(1,7),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,4,8,7,6,5,3,2]=>[1,4,8,2,3,5,6,7]=>[1,8,2,4,3,5,6,7]=>([(1,7),(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[1,3,5,7,8,6,4,2]=>[1,3,5,7,8,2,4,6]=>[1,8,3,2,5,4,7,6]=>([(1,6),(1,7),(2,5),(2,7),(3,4),(3,7),(4,7),(5,7),(6,7)],8)
[1,3,6,5,7,8,4,2]=>[1,3,6,2,4,5,7,8]=>[1,6,3,2,4,5,7,8]=>([(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[1,3,5,6,7,8,4,2]=>[1,3,5,6,7,8,2,4]=>[1,8,3,2,5,6,7,4]=>([(1,2),(1,7),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,4,3,8,7,6,5,2]=>[1,4,2,3,8,5,6,7]=>[1,4,2,3,8,5,6,7]=>([(1,7),(2,7),(3,7),(4,6),(5,6)],8)
[1,4,3,7,8,6,5,2]=>[1,4,2,3,7,8,5,6]=>[1,4,2,3,8,5,7,6]=>([(1,7),(2,4),(3,4),(5,6),(5,7),(6,7)],8)
[1,4,3,7,6,8,5,2]=>[1,4,2,3,7,5,6,8]=>[1,4,2,3,7,5,6,8]=>([(2,7),(3,7),(4,6),(5,6)],8)
[1,3,4,8,7,6,5,2]=>[1,3,4,8,2,5,6,7]=>[1,8,3,4,2,5,6,7]=>([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,3,4,7,6,8,5,2]=>[1,3,4,7,2,5,6,8]=>[1,7,3,4,2,5,6,8]=>([(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,3,4,5,7,8,6,2]=>[1,3,4,5,7,8,2,6]=>[1,8,3,4,5,2,7,6]=>([(1,2),(1,7),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,6,5,4,3,8,7,2]=>[1,6,2,3,8,4,5,7]=>[1,6,2,8,4,3,5,7]=>([(1,7),(2,6),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[1,5,6,4,3,8,7,2]=>[1,5,6,2,3,8,4,7]=>[1,6,2,8,5,3,4,7]=>([(1,7),(2,6),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[1,4,3,6,5,8,7,2]=>[1,4,2,3,6,5,8,7]=>[1,4,2,3,6,5,8,7]=>([(1,4),(2,3),(5,7),(6,7)],8)
[1,3,4,5,6,8,7,2]=>[1,3,4,5,6,8,2,7]=>[1,8,3,4,5,6,2,7]=>([(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,4,5,3,6,7,8,2]=>[1,4,5,2,3,6,7,8]=>[1,5,2,4,3,6,7,8]=>([(4,7),(5,6),(5,7),(6,7)],8)
[1,4,3,5,6,7,8,2]=>[1,4,2,3,5,6,7,8]=>[1,4,2,3,5,6,7,8]=>([(5,7),(6,7)],8)
[1,3,4,5,6,7,8,2]=>[1,3,4,5,6,7,8,2]=>[1,8,3,4,5,6,7,2]=>([(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,1,8,7,6,5,4,3]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>([(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[2,1,6,7,8,5,4,3]=>[1,6,7,8,2,3,4,5]=>[1,8,2,3,4,6,7,5]=>([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,1,6,5,8,7,4,3]=>[1,6,2,3,4,5,8,7]=>[1,6,2,3,4,5,8,7]=>([(1,2),(3,7),(4,7),(5,7),(6,7)],8)
[2,1,7,6,5,8,4,3]=>[1,7,2,3,4,5,8,6]=>[1,7,2,3,4,8,5,6]=>([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[2,1,6,7,5,8,4,3]=>[1,6,7,2,3,4,5,8]=>[1,7,2,3,4,6,5,8]=>([(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[2,1,6,5,7,8,4,3]=>[1,6,2,3,4,5,7,8]=>[1,6,2,3,4,5,7,8]=>([(3,7),(4,7),(5,7),(6,7)],8)
[2,1,5,6,7,8,4,3]=>[1,5,6,7,8,2,3,4]=>[1,8,2,3,5,6,7,4]=>([(1,7),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,1,4,8,7,6,5,3]=>[1,4,8,2,3,5,6,7]=>[1,8,2,4,3,5,6,7]=>([(1,7),(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[2,1,4,6,5,8,7,3]=>[1,4,6,2,3,5,8,7]=>[1,6,2,4,3,5,8,7]=>([(1,2),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[2,1,6,5,7,4,8,3]=>[1,6,2,3,4,8,5,7]=>[1,6,2,3,8,4,5,7]=>([(1,7),(2,7),(3,6),(4,6),(4,7),(5,6),(5,7)],8)
[2,1,5,4,7,6,8,3]=>[1,5,2,3,4,7,6,8]=>[1,5,2,3,4,7,6,8]=>([(2,3),(4,7),(5,7),(6,7)],8)
[2,1,4,5,6,7,8,3]=>[1,4,5,6,7,8,2,3]=>[1,8,2,4,5,6,7,3]=>([(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,2,6,7,8,5,4,3]=>[1,2,6,7,8,3,4,5]=>[1,2,8,3,4,6,7,5]=>([(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,2,5,6,7,8,4,3]=>[1,2,5,6,7,8,3,4]=>[1,2,8,3,5,6,7,4]=>([(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,2,4,8,7,6,5,3]=>[1,2,4,8,3,5,6,7]=>[1,2,8,4,3,5,6,7]=>([(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[1,2,4,7,8,6,5,3]=>[1,2,4,7,8,3,5,6]=>[1,2,8,4,3,5,7,6]=>([(2,7),(3,6),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[1,2,4,6,7,8,5,3]=>[1,2,4,6,7,8,3,5]=>[1,2,8,4,3,6,7,5]=>([(2,3),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,2,6,5,4,7,8,3]=>[1,2,6,3,4,7,8,5]=>[1,2,6,3,8,4,7,5]=>([(2,7),(3,5),(3,6),(4,6),(4,7),(5,6),(5,7)],8)
[1,2,5,6,4,7,8,3]=>[1,2,5,6,3,4,7,8]=>[1,2,6,3,5,4,7,8]=>([(4,7),(5,6),(5,7),(6,7)],8)
[1,2,5,4,6,7,8,3]=>[1,2,5,3,4,6,7,8]=>[1,2,5,3,4,6,7,8]=>([(5,7),(6,7)],8)
[1,2,4,5,6,7,8,3]=>[1,2,4,5,6,7,8,3]=>[1,2,8,4,5,6,7,3]=>([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,2,1,8,7,6,5,4]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>([(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[3,2,1,7,8,6,5,4]=>[1,7,8,2,3,4,5,6]=>[1,8,2,3,4,5,7,6]=>([(1,7),(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[3,2,1,6,8,7,5,4]=>[1,6,8,2,3,4,5,7]=>[1,8,2,3,4,6,5,7]=>([(1,7),(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[3,2,1,7,6,8,5,4]=>[1,7,2,3,4,5,6,8]=>[1,7,2,3,4,5,6,8]=>([(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[3,2,1,6,7,8,5,4]=>[1,6,7,8,2,3,4,5]=>[1,8,2,3,4,6,7,5]=>([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,2,1,5,8,7,6,4]=>[1,5,8,2,3,4,6,7]=>[1,8,2,3,5,4,6,7]=>([(1,7),(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[3,2,1,6,5,8,7,4]=>[1,6,2,3,4,5,8,7]=>[1,6,2,3,4,5,8,7]=>([(1,2),(3,7),(4,7),(5,7),(6,7)],8)
[3,2,1,5,6,8,7,4]=>[1,5,6,8,2,3,4,7]=>[1,8,2,3,5,6,4,7]=>([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,2,1,7,6,5,8,4]=>[1,7,2,3,4,5,8,6]=>[1,7,2,3,4,8,5,6]=>([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[3,2,1,6,7,5,8,4]=>[1,6,7,2,3,4,5,8]=>[1,7,2,3,4,6,5,8]=>([(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[3,2,1,5,7,6,8,4]=>[1,5,7,2,3,4,6,8]=>[1,7,2,3,5,4,6,8]=>([(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[3,2,1,6,5,7,8,4]=>[1,6,2,3,4,5,7,8]=>[1,6,2,3,4,5,7,8]=>([(3,7),(4,7),(5,7),(6,7)],8)
[3,2,1,5,6,7,8,4]=>[1,5,6,7,8,2,3,4]=>[1,8,2,3,5,6,7,4]=>([(1,7),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,3,1,8,7,6,5,4]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>([(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[1,3,2,8,7,6,5,4]=>[1,3,2,8,4,5,6,7]=>[1,3,2,8,4,5,6,7]=>([(1,2),(3,7),(4,7),(5,7),(6,7)],8)
[2,1,3,8,7,6,5,4]=>[1,3,8,2,4,5,6,7]=>[1,8,3,2,4,5,6,7]=>([(1,7),(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[1,2,3,8,7,6,5,4]=>[1,2,3,8,4,5,6,7]=>[1,2,3,8,4,5,6,7]=>([(3,7),(4,7),(5,7),(6,7)],8)
[1,2,3,7,8,6,5,4]=>[1,2,3,7,8,4,5,6]=>[1,2,3,8,4,5,7,6]=>([(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[1,2,3,6,8,7,5,4]=>[1,2,3,6,8,4,5,7]=>[1,2,3,8,4,6,5,7]=>([(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[1,2,3,7,6,8,5,4]=>[1,2,3,7,4,5,6,8]=>[1,2,3,7,4,5,6,8]=>([(4,7),(5,7),(6,7)],8)
[1,2,3,6,7,8,5,4]=>[1,2,3,6,7,8,4,5]=>[1,2,3,8,4,6,7,5]=>([(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,2,3,5,8,7,6,4]=>[1,2,3,5,8,4,6,7]=>[1,2,3,8,5,4,6,7]=>([(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[1,2,3,5,7,8,6,4]=>[1,2,3,5,7,8,4,6]=>[1,2,3,8,5,4,7,6]=>([(3,6),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[1,2,3,6,5,8,7,4]=>[1,2,3,6,4,5,8,7]=>[1,2,3,6,4,5,8,7]=>([(3,4),(5,7),(6,7)],8)
[1,2,3,5,6,8,7,4]=>[1,2,3,5,6,8,4,7]=>[1,2,3,8,5,6,4,7]=>([(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,2,3,7,6,5,8,4]=>[1,2,3,7,4,5,8,6]=>[1,2,3,7,4,8,5,6]=>([(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[1,2,3,6,7,5,8,4]=>[1,2,3,6,7,4,5,8]=>[1,2,3,7,4,6,5,8]=>([(4,7),(5,6),(5,7),(6,7)],8)
[1,2,3,5,7,6,8,4]=>[1,2,3,5,7,4,6,8]=>[1,2,3,7,5,4,6,8]=>([(4,7),(5,6),(5,7),(6,7)],8)
[1,2,3,6,5,7,8,4]=>[1,2,3,6,4,5,7,8]=>[1,2,3,6,4,5,7,8]=>([(5,7),(6,7)],8)
[1,2,3,5,6,7,8,4]=>[1,2,3,5,6,7,8,4]=>[1,2,3,8,5,6,7,4]=>([(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,3,2,1,8,7,6,5]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>([(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[4,3,2,1,7,8,6,5]=>[1,7,8,2,3,4,5,6]=>[1,8,2,3,4,5,7,6]=>([(1,7),(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[4,3,2,1,6,8,7,5]=>[1,6,8,2,3,4,5,7]=>[1,8,2,3,4,6,5,7]=>([(1,7),(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[4,3,2,1,7,6,8,5]=>[1,7,2,3,4,5,6,8]=>[1,7,2,3,4,5,6,8]=>([(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[4,3,2,1,6,7,8,5]=>[1,6,7,8,2,3,4,5]=>[1,8,2,3,4,6,7,5]=>([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,4,2,1,8,7,6,5]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>([(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[3,4,2,1,7,8,6,5]=>[1,7,8,2,3,4,5,6]=>[1,8,2,3,4,5,7,6]=>([(1,7),(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[3,4,2,1,6,8,7,5]=>[1,6,8,2,3,4,5,7]=>[1,8,2,3,4,6,5,7]=>([(1,7),(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[3,4,2,1,7,6,8,5]=>[1,7,2,3,4,5,6,8]=>[1,7,2,3,4,5,6,8]=>([(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[3,4,2,1,6,7,8,5]=>[1,6,7,8,2,3,4,5]=>[1,8,2,3,4,6,7,5]=>([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,4,3,1,8,7,6,5]=>[1,8,2,4,3,5,6,7]=>[1,8,4,2,3,5,6,7]=>([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,4,3,1,7,8,6,5]=>[1,7,8,2,4,3,5,6]=>[1,8,4,2,3,5,7,6]=>([(1,7),(2,3),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,4,3,1,6,8,7,5]=>[1,6,8,2,4,3,5,7]=>[1,8,4,2,3,6,5,7]=>([(1,7),(2,3),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,4,3,1,7,6,8,5]=>[1,7,2,4,3,5,6,8]=>[1,7,4,2,3,5,6,8]=>([(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,4,3,1,6,7,8,5]=>[1,6,7,8,2,4,3,5]=>[1,8,4,2,3,6,7,5]=>([(1,6),(1,7),(2,6),(2,7),(3,5),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[3,2,4,1,8,7,6,5]=>[1,8,2,4,3,5,6,7]=>[1,8,4,2,3,5,6,7]=>([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,2,4,1,7,8,6,5]=>[1,7,8,2,4,3,5,6]=>[1,8,4,2,3,5,7,6]=>([(1,7),(2,3),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,2,4,1,6,8,7,5]=>[1,6,8,2,4,3,5,7]=>[1,8,4,2,3,6,5,7]=>([(1,7),(2,3),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,2,4,1,7,6,8,5]=>[1,7,2,4,3,5,6,8]=>[1,7,4,2,3,5,6,8]=>([(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,2,4,1,6,7,8,5]=>[1,6,7,8,2,4,3,5]=>[1,8,4,2,3,6,7,5]=>([(1,6),(1,7),(2,6),(2,7),(3,5),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[2,3,4,1,8,7,6,5]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>([(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[2,3,4,1,7,8,6,5]=>[1,7,8,2,3,4,5,6]=>[1,8,2,3,4,5,7,6]=>([(1,7),(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[2,3,4,1,6,8,7,5]=>[1,6,8,2,3,4,5,7]=>[1,8,2,3,4,6,5,7]=>([(1,7),(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[2,3,4,1,7,6,8,5]=>[1,7,2,3,4,5,6,8]=>[1,7,2,3,4,5,6,8]=>([(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[2,3,4,1,6,7,8,5]=>[1,6,7,8,2,3,4,5]=>[1,8,2,3,4,6,7,5]=>([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,4,3,2,8,7,6,5]=>[1,4,2,8,3,5,6,7]=>[1,4,8,2,3,5,6,7]=>([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[1,4,3,2,7,6,8,5]=>[1,4,2,7,3,5,6,8]=>[1,4,7,2,3,5,6,8]=>([(2,7),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[1,4,3,2,6,7,8,5]=>[1,4,2,6,7,8,3,5]=>[1,4,8,2,3,6,7,5]=>([(1,2),(1,3),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,3,4,2,8,7,6,5]=>[1,3,4,2,8,5,6,7]=>[1,4,3,2,8,5,6,7]=>([(1,7),(2,7),(3,7),(4,5),(4,6),(5,6)],8)
[1,3,4,2,6,7,8,5]=>[1,3,4,2,6,7,8,5]=>[1,4,3,2,8,6,7,5]=>([(1,2),(1,3),(2,3),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,1,4,3,8,7,6,5]=>[1,4,2,3,8,5,6,7]=>[1,4,2,3,8,5,6,7]=>([(1,7),(2,7),(3,7),(4,6),(5,6)],8)
[2,1,4,3,7,8,6,5]=>[1,4,2,3,7,8,5,6]=>[1,4,2,3,8,5,7,6]=>([(1,7),(2,4),(3,4),(5,6),(5,7),(6,7)],8)
[2,1,4,3,6,8,7,5]=>[1,4,2,3,6,8,5,7]=>[1,4,2,3,8,6,5,7]=>([(1,7),(2,4),(3,4),(5,6),(5,7),(6,7)],8)
[2,1,4,3,7,6,8,5]=>[1,4,2,3,7,5,6,8]=>[1,4,2,3,7,5,6,8]=>([(2,7),(3,7),(4,6),(5,6)],8)
[1,2,4,3,8,7,6,5]=>[1,2,4,3,8,5,6,7]=>[1,2,4,3,8,5,6,7]=>([(2,3),(4,7),(5,7),(6,7)],8)
[1,2,4,3,7,6,8,5]=>[1,2,4,3,7,5,6,8]=>[1,2,4,3,7,5,6,8]=>([(3,4),(5,7),(6,7)],8)
[1,2,4,3,6,7,8,5]=>[1,2,4,3,6,7,8,5]=>[1,2,4,3,8,6,7,5]=>([(2,3),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,2,1,4,8,7,6,5]=>[1,4,8,2,3,5,6,7]=>[1,8,2,4,3,5,6,7]=>([(1,7),(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[3,2,1,4,7,6,8,5]=>[1,4,7,2,3,5,6,8]=>[1,7,2,4,3,5,6,8]=>([(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[2,3,1,4,8,7,6,5]=>[1,4,8,2,3,5,6,7]=>[1,8,2,4,3,5,6,7]=>([(1,7),(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[2,3,1,4,7,6,8,5]=>[1,4,7,2,3,5,6,8]=>[1,7,2,4,3,5,6,8]=>([(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[1,3,2,4,8,7,6,5]=>[1,3,2,4,8,5,6,7]=>[1,3,2,4,8,5,6,7]=>([(2,3),(4,7),(5,7),(6,7)],8)
[1,3,2,4,6,7,8,5]=>[1,3,2,4,6,7,8,5]=>[1,3,2,4,8,6,7,5]=>([(2,3),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,1,3,4,8,7,6,5]=>[1,3,4,8,2,5,6,7]=>[1,8,3,4,2,5,6,7]=>([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,1,3,4,7,6,8,5]=>[1,3,4,7,2,5,6,8]=>[1,7,3,4,2,5,6,8]=>([(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,1,3,4,6,7,8,5]=>[1,3,4,6,7,8,2,5]=>[1,8,3,4,2,6,7,5]=>([(1,6),(1,7),(2,6),(2,7),(3,5),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[1,2,3,4,8,7,6,5]=>[1,2,3,4,8,5,6,7]=>[1,2,3,4,8,5,6,7]=>([(4,7),(5,7),(6,7)],8)
[1,2,3,4,7,8,6,5]=>[1,2,3,4,7,8,5,6]=>[1,2,3,4,8,5,7,6]=>([(4,7),(5,6),(5,7),(6,7)],8)
[1,2,3,4,7,6,8,5]=>[1,2,3,4,7,5,6,8]=>[1,2,3,4,7,5,6,8]=>([(5,7),(6,7)],8)
[1,2,3,4,6,7,8,5]=>[1,2,3,4,6,7,8,5]=>[1,2,3,4,8,6,7,5]=>([(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,4,3,2,1,8,7,6]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>([(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[5,4,3,2,1,7,8,6]=>[1,7,8,2,3,4,5,6]=>[1,8,2,3,4,5,7,6]=>([(1,7),(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[4,5,3,2,1,8,7,6]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>([(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[3,5,4,2,1,8,7,6]=>[1,8,2,3,5,4,6,7]=>[1,8,2,5,3,4,6,7]=>([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,3,5,2,1,8,7,6]=>[1,8,2,3,5,4,6,7]=>[1,8,2,5,3,4,6,7]=>([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,4,5,2,1,8,7,6]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>([(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[2,5,4,3,1,8,7,6]=>[1,8,2,5,3,4,6,7]=>[1,8,5,3,2,4,6,7]=>([(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,2,5,4,1,8,7,6]=>[1,8,2,5,3,4,6,7]=>[1,8,5,3,2,4,6,7]=>([(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,3,5,4,1,8,7,6]=>[1,8,2,3,5,4,6,7]=>[1,8,2,5,3,4,6,7]=>([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,3,2,5,1,8,7,6]=>[1,8,2,5,3,4,6,7]=>[1,8,5,3,2,4,6,7]=>([(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,4,2,5,1,8,7,6]=>[1,8,2,5,3,4,6,7]=>[1,8,5,3,2,4,6,7]=>([(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,4,3,5,1,8,7,6]=>[1,8,2,4,3,5,6,7]=>[1,8,4,2,3,5,6,7]=>([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,3,4,5,1,8,7,6]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>([(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[4,3,2,1,5,8,7,6]=>[1,5,8,2,3,4,6,7]=>[1,8,2,3,5,4,6,7]=>([(1,7),(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[3,2,4,1,5,8,7,6]=>[1,5,8,2,4,3,6,7]=>[1,8,4,2,5,3,6,7]=>([(1,7),(2,7),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[3,2,4,1,5,7,8,6]=>[1,5,7,8,2,4,3,6]=>[1,8,4,2,5,3,7,6]=>([(1,2),(1,7),(2,7),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[2,3,4,1,5,8,7,6]=>[1,5,8,2,3,4,6,7]=>[1,8,2,3,5,4,6,7]=>([(1,7),(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[1,2,3,4,5,8,7,6]=>[1,2,3,4,5,8,6,7]=>[1,2,3,4,5,8,6,7]=>([(5,7),(6,7)],8)
[1,2,3,4,5,7,8,6]=>[1,2,3,4,5,7,8,6]=>[1,2,3,4,5,8,7,6]=>([(5,6),(5,7),(6,7)],8)
[6,5,4,3,2,1,8,7]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>([(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[5,6,4,3,2,1,8,7]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>([(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[4,5,6,3,2,1,8,7]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>([(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[3,6,5,4,2,1,8,7]=>[1,8,2,3,6,4,5,7]=>[1,8,2,6,4,3,5,7]=>([(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,3,6,5,2,1,8,7]=>[1,8,2,3,6,4,5,7]=>[1,8,2,6,4,3,5,7]=>([(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,4,3,6,2,1,8,7]=>[1,8,2,3,6,4,5,7]=>[1,8,2,6,4,3,5,7]=>([(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,5,3,6,2,1,8,7]=>[1,8,2,3,6,4,5,7]=>[1,8,2,6,4,3,5,7]=>([(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,3,5,6,2,1,8,7]=>[1,8,2,3,5,6,4,7]=>[1,8,2,6,3,5,4,7]=>([(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,3,6,5,4,1,8,7]=>[1,8,2,3,6,4,5,7]=>[1,8,2,6,4,3,5,7]=>([(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,4,3,6,5,1,8,7]=>[1,8,2,4,3,6,5,7]=>[1,8,4,2,6,3,5,7]=>([(1,7),(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[5,4,3,2,6,1,8,7]=>[1,8,2,6,3,4,5,7]=>[1,8,6,3,4,2,5,7]=>([(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,5,3,2,6,1,8,7]=>[1,8,2,6,3,4,5,7]=>[1,8,6,3,4,2,5,7]=>([(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,3,5,2,6,1,8,7]=>[1,8,2,6,3,5,4,7]=>[1,8,6,5,3,2,4,7]=>([(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,2,5,4,6,1,8,7]=>[1,8,2,5,3,4,6,7]=>[1,8,5,3,2,4,6,7]=>([(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,3,4,5,6,1,8,7]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>([(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[1,5,6,4,3,2,8,7]=>[1,5,6,2,8,3,4,7]=>[1,6,8,3,5,2,4,7]=>([(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[2,1,6,5,4,3,8,7]=>[1,6,2,3,8,4,5,7]=>[1,6,2,8,4,3,5,7]=>([(1,7),(2,6),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[2,1,5,6,4,3,8,7]=>[1,5,6,2,3,8,4,7]=>[1,6,2,8,5,3,4,7]=>([(1,7),(2,6),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[2,1,4,6,5,3,8,7]=>[1,4,6,2,3,8,5,7]=>[1,6,2,4,8,3,5,7]=>([(1,7),(2,5),(3,5),(3,7),(4,6),(4,7),(5,6),(6,7)],8)
[2,1,5,4,6,3,8,7]=>[1,5,2,3,8,4,6,7]=>[1,5,2,8,3,4,6,7]=>([(1,7),(2,7),(3,6),(4,6),(4,7),(5,6),(5,7)],8)
[4,3,2,1,6,5,8,7]=>[1,6,2,3,4,5,8,7]=>[1,6,2,3,4,5,8,7]=>([(1,2),(3,7),(4,7),(5,7),(6,7)],8)
[3,4,2,1,6,5,8,7]=>[1,6,2,3,4,5,8,7]=>[1,6,2,3,4,5,8,7]=>([(1,2),(3,7),(4,7),(5,7),(6,7)],8)
[2,4,3,1,6,5,8,7]=>[1,6,2,4,3,5,8,7]=>[1,6,4,2,3,5,8,7]=>([(1,2),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,2,4,1,6,5,8,7]=>[1,6,2,4,3,5,8,7]=>[1,6,4,2,3,5,8,7]=>([(1,2),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,3,4,1,6,5,8,7]=>[1,6,2,3,4,5,8,7]=>[1,6,2,3,4,5,8,7]=>([(1,2),(3,7),(4,7),(5,7),(6,7)],8)
[2,1,4,3,6,5,8,7]=>[1,4,2,3,6,5,8,7]=>[1,4,2,3,6,5,8,7]=>([(1,4),(2,3),(5,7),(6,7)],8)
[5,4,3,2,1,6,8,7]=>[1,6,8,2,3,4,5,7]=>[1,8,2,3,4,6,5,7]=>([(1,7),(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[2,1,5,4,3,6,8,7]=>[1,5,2,3,6,8,4,7]=>[1,5,2,8,3,6,4,7]=>([(1,7),(2,5),(3,5),(3,7),(4,6),(4,7),(5,6),(6,7)],8)
[4,3,2,1,5,6,8,7]=>[1,5,6,8,2,3,4,7]=>[1,8,2,3,5,6,4,7]=>([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,3,4,1,5,6,8,7]=>[1,5,6,8,2,3,4,7]=>[1,8,2,3,5,6,4,7]=>([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,1,3,4,5,6,8,7]=>[1,3,4,5,6,8,2,7]=>[1,8,3,4,5,6,2,7]=>([(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,2,3,4,5,6,8,7]=>[1,2,3,4,5,6,8,7]=>[1,2,3,4,5,6,8,7]=>([(6,7)],8)
[5,7,6,4,3,2,1,8]=>[1,8,2,3,4,5,7,6]=>[1,8,2,3,4,7,5,6]=>([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,7,6,5,3,2,1,8]=>[1,8,2,3,4,7,5,6]=>[1,8,2,3,7,5,4,6]=>([(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,4,7,6,5,2,1,8]=>[1,8,2,3,4,7,5,6]=>[1,8,2,3,7,5,4,6]=>([(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,2,7,6,5,4,1,8]=>[1,8,2,7,3,4,5,6]=>[1,8,7,3,4,5,2,6]=>([(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,4,3,2,7,6,1,8]=>[1,8,2,7,3,4,5,6]=>[1,8,7,3,4,5,2,6]=>([(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,5,3,2,7,6,1,8]=>[1,8,2,7,3,4,5,6]=>[1,8,7,3,4,5,2,6]=>([(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,5,4,2,7,6,1,8]=>[1,8,2,7,3,5,4,6]=>[1,8,7,5,3,4,2,6]=>([(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,2,5,4,7,6,1,8]=>[1,8,2,5,3,4,7,6]=>[1,8,5,3,2,7,4,6]=>([(1,5),(1,7),(2,3),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[2,3,4,5,7,6,1,8]=>[1,8,2,3,4,5,7,6]=>[1,8,2,3,4,7,5,6]=>([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,5,4,2,6,7,1,8]=>[1,8,2,6,7,3,5,4]=>[1,8,7,5,3,2,6,4]=>([(1,4),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,3,4,6,7,5,2,8]=>[1,3,4,6,7,2,8,5]=>[1,7,3,4,8,6,2,5]=>([(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[1,3,4,5,7,6,2,8]=>[1,3,4,5,7,2,8,6]=>[1,7,3,4,5,8,2,6]=>([(1,2),(1,7),(2,6),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,3,2,1,7,6,5,8]=>[1,7,2,3,4,5,8,6]=>[1,7,2,3,4,8,5,6]=>([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[4,3,2,1,6,7,5,8]=>[1,6,7,2,3,4,5,8]=>[1,7,2,3,4,6,5,8]=>([(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[3,2,4,1,7,6,5,8]=>[1,7,2,4,3,5,8,6]=>[1,7,4,2,3,8,5,6]=>([(1,2),(1,3),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,3,4,1,7,6,5,8]=>[1,7,2,3,4,5,8,6]=>[1,7,2,3,4,8,5,6]=>([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[2,3,4,1,6,7,5,8]=>[1,6,7,2,3,4,5,8]=>[1,7,2,3,4,6,5,8]=>([(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[1,4,3,2,7,6,5,8]=>[1,4,2,7,3,5,8,6]=>[1,4,7,2,3,8,5,6]=>([(1,5),(1,6),(2,3),(2,4),(3,7),(4,7),(5,7),(6,7)],8)
[1,3,4,2,6,7,5,8]=>[1,3,4,2,6,7,5,8]=>[1,4,3,2,7,6,5,8]=>([(2,6),(2,7),(3,4),(3,5),(4,5),(6,7)],8)
[3,2,1,4,7,6,5,8]=>[1,4,7,2,3,5,8,6]=>[1,7,2,4,3,8,5,6]=>([(1,7),(2,5),(2,6),(3,4),(3,7),(4,7),(5,7),(6,7)],8)
[5,4,3,2,1,7,6,8]=>[1,7,2,3,4,5,6,8]=>[1,7,2,3,4,5,6,8]=>([(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[3,2,1,5,4,7,6,8]=>[1,5,2,3,4,7,6,8]=>[1,5,2,3,4,7,6,8]=>([(2,3),(4,7),(5,7),(6,7)],8)
[2,3,1,5,4,7,6,8]=>[1,5,2,3,4,7,6,8]=>[1,5,2,3,4,7,6,8]=>([(2,3),(4,7),(5,7),(6,7)],8)
[1,3,2,5,4,7,6,8]=>[1,3,2,5,4,7,6,8]=>[1,3,2,5,4,7,6,8]=>([(2,7),(3,6),(4,5)],8)
[1,2,3,5,4,7,6,8]=>[1,2,3,5,4,7,6,8]=>[1,2,3,5,4,7,6,8]=>([(4,7),(5,6)],8)
[4,3,2,1,5,7,6,8]=>[1,5,7,2,3,4,6,8]=>[1,7,2,3,5,4,6,8]=>([(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[3,2,4,1,5,7,6,8]=>[1,5,7,2,4,3,6,8]=>[1,7,4,2,5,3,6,8]=>([(2,7),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[2,3,4,1,5,7,6,8]=>[1,5,7,2,3,4,6,8]=>[1,7,2,3,5,4,6,8]=>([(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[1,3,2,4,5,7,6,8]=>[1,3,2,4,5,7,6,8]=>[1,3,2,4,5,7,6,8]=>([(4,7),(5,6)],8)
[1,2,3,4,5,7,6,8]=>[1,2,3,4,5,7,6,8]=>[1,2,3,4,5,7,6,8]=>([(6,7)],8)
[2,3,4,6,5,1,7,8]=>[1,7,8,2,3,4,6,5]=>[1,8,2,3,6,4,7,5]=>([(1,7),(2,7),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[1,2,4,6,5,3,7,8]=>[1,2,4,6,3,7,8,5]=>[1,2,6,4,8,3,7,5]=>([(2,6),(2,7),(3,4),(3,5),(4,5),(4,7),(5,6),(6,7)],8)
[4,3,2,1,6,5,7,8]=>[1,6,2,3,4,5,7,8]=>[1,6,2,3,4,5,7,8]=>([(3,7),(4,7),(5,7),(6,7)],8)
[3,2,4,1,6,5,7,8]=>[1,6,2,4,3,5,7,8]=>[1,6,4,2,3,5,7,8]=>([(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,3,4,1,6,5,7,8]=>[1,6,2,3,4,5,7,8]=>[1,6,2,3,4,5,7,8]=>([(3,7),(4,7),(5,7),(6,7)],8)
[1,2,4,3,6,5,7,8]=>[1,2,4,3,6,5,7,8]=>[1,2,4,3,6,5,7,8]=>([(4,7),(5,6)],8)
[3,2,5,4,1,6,7,8]=>[1,6,7,8,2,5,3,4]=>[1,8,5,3,2,6,7,4]=>([(1,5),(1,7),(2,5),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,3,2,5,4,6,7,8]=>[1,3,2,5,4,6,7,8]=>[1,3,2,5,4,6,7,8]=>([(4,7),(5,6)],8)
[1,2,3,5,4,6,7,8]=>[1,2,3,5,4,6,7,8]=>[1,2,3,5,4,6,7,8]=>([(6,7)],8)
[1,3,2,4,5,6,7,8]=>[1,3,2,4,5,6,7,8]=>[1,3,2,4,5,6,7,8]=>([(6,7)],8)
[1,2,3,4,8,6,7,5]=>[1,2,3,4,8,5,6,7]=>[1,2,3,4,8,5,6,7]=>([(4,7),(5,7),(6,7)],8)
[1,2,3,5,8,6,7,4]=>[1,2,3,5,8,4,6,7]=>[1,2,3,8,5,4,6,7]=>([(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[1,2,3,7,5,6,8,4]=>[1,2,3,7,4,5,6,8]=>[1,2,3,7,4,5,6,8]=>([(4,7),(5,7),(6,7)],8)
[1,2,3,8,5,6,7,4]=>[1,2,3,8,4,5,6,7]=>[1,2,3,8,4,5,6,7]=>([(3,7),(4,7),(5,7),(6,7)],8)
[1,2,3,8,5,7,6,4]=>[1,2,3,8,4,5,7,6]=>[1,2,3,8,4,7,5,6]=>([(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,2,3,8,6,5,7,4]=>[1,2,3,8,4,5,7,6]=>[1,2,3,8,4,7,5,6]=>([(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,2,3,8,6,7,5,4]=>[1,2,3,8,4,5,6,7]=>[1,2,3,8,4,5,6,7]=>([(3,7),(4,7),(5,7),(6,7)],8)
[1,2,4,8,6,5,7,3]=>[1,2,4,8,3,5,7,6]=>[1,2,8,4,3,7,5,6]=>([(2,3),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,2,6,4,5,7,8,3]=>[1,2,6,3,4,5,7,8]=>[1,2,6,3,4,5,7,8]=>([(4,7),(5,7),(6,7)],8)
[1,2,8,5,4,6,7,3]=>[1,2,8,3,4,6,7,5]=>[1,2,8,3,7,4,6,5]=>([(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,3,2,8,6,5,7,4]=>[1,3,2,8,4,5,7,6]=>[1,3,2,8,4,7,5,6]=>([(1,2),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,3,7,4,5,6,2,8]=>[1,3,7,2,8,4,5,6]=>[1,7,3,8,4,5,2,6]=>([(1,6),(1,7),(2,5),(2,6),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[1,3,8,5,6,7,4,2]=>[1,3,8,2,4,5,6,7]=>[1,8,3,2,4,5,6,7]=>([(1,7),(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[1,3,8,6,5,7,4,2]=>[1,3,8,2,4,5,7,6]=>[1,8,3,2,4,7,5,6]=>([(1,7),(2,3),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,5,3,4,6,7,8,2]=>[1,5,2,3,4,6,7,8]=>[1,5,2,3,4,6,7,8]=>([(4,7),(5,7),(6,7)],8)
[1,6,3,5,4,8,7,2]=>[1,6,2,3,5,4,8,7]=>[1,6,2,5,3,4,8,7]=>([(1,2),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,8,4,3,5,6,7,2]=>[1,8,2,3,5,6,7,4]=>[1,8,2,7,3,5,6,4]=>([(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,8,4,7,6,5,3,2]=>[1,8,2,3,4,7,5,6]=>[1,8,2,3,7,5,4,6]=>([(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,8,5,4,3,6,7,2]=>[1,8,2,3,6,7,4,5]=>[1,8,2,7,4,3,6,5]=>([(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,8,5,4,7,6,3,2]=>[1,8,2,3,4,7,5,6]=>[1,8,2,3,7,5,4,6]=>([(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,8,7,4,5,6,3,2]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>([(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[1,8,7,4,6,5,3,2]=>[1,8,2,3,4,6,5,7]=>[1,8,2,3,6,4,5,7]=>([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,8,6,5,4,7,3,2]=>[1,8,2,3,4,7,5,6]=>[1,8,2,3,7,5,4,6]=>([(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,8,7,5,4,6,3,2]=>[1,8,2,3,4,6,5,7]=>[1,8,2,3,6,4,5,7]=>([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,8,7,5,6,4,3,2]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>([(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[2,1,3,8,5,7,6,4]=>[1,3,8,2,4,5,7,6]=>[1,8,3,2,4,7,5,6]=>([(1,7),(2,3),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,1,4,3,8,6,7,5]=>[1,4,2,3,8,5,6,7]=>[1,4,2,3,8,5,6,7]=>([(1,7),(2,7),(3,7),(4,6),(5,6)],8)
[2,1,6,4,5,3,8,7]=>[1,6,2,3,8,4,5,7]=>[1,6,2,8,4,3,5,7]=>([(1,7),(2,6),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[2,1,7,4,6,5,8,3]=>[1,7,2,3,4,6,5,8]=>[1,7,2,3,6,4,5,8]=>([(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,1,8,5,4,7,6,3]=>[1,8,2,3,4,7,5,6]=>[1,8,2,3,7,5,4,6]=>([(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,1,8,7,5,6,4,3]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>([(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[2,3,1,8,6,7,5,4]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>([(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[2,3,4,1,8,6,7,5]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>([(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[2,3,4,8,5,6,7,1]=>[1,2,3,4,8,5,6,7]=>[1,2,3,4,8,5,6,7]=>([(4,7),(5,7),(6,7)],8)
[2,3,4,8,5,7,6,1]=>[1,2,3,4,8,5,7,6]=>[1,2,3,4,8,7,5,6]=>([(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,3,4,8,6,5,7,1]=>[1,2,3,4,8,5,7,6]=>[1,2,3,4,8,7,5,6]=>([(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,3,4,8,6,7,5,1]=>[1,2,3,4,8,5,6,7]=>[1,2,3,4,8,5,6,7]=>([(4,7),(5,7),(6,7)],8)
[2,3,6,4,5,1,8,7]=>[1,8,2,3,6,4,5,7]=>[1,8,2,6,4,3,5,7]=>([(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,3,7,4,5,6,8,1]=>[1,2,3,7,4,5,6,8]=>[1,2,3,7,4,5,6,8]=>([(4,7),(5,7),(6,7)],8)
[2,5,3,4,1,8,7,6]=>[1,8,2,5,3,4,6,7]=>[1,8,5,3,2,4,6,7]=>([(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,5,3,4,8,6,7,1]=>[1,2,5,3,4,8,6,7]=>[1,2,5,3,4,8,6,7]=>([(2,7),(3,7),(4,6),(5,6)],8)
[2,8,3,4,5,6,7,1]=>[1,2,8,3,4,5,6,7]=>[1,2,8,3,4,5,6,7]=>([(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[2,8,3,5,4,7,6,1]=>[1,2,8,3,5,4,7,6]=>[1,2,8,5,3,7,4,6]=>([(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[2,8,3,5,7,6,4,1]=>[1,2,8,3,5,7,4,6]=>[1,2,8,7,3,4,5,6]=>([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,5,4,3,8,6,7,1]=>[1,2,5,3,8,4,6,7]=>[1,2,5,8,3,4,6,7]=>([(2,7),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[2,8,4,3,5,7,6,1]=>[1,2,8,3,5,7,4,6]=>[1,2,8,7,3,4,5,6]=>([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,2,1,5,8,6,7,4]=>[1,5,8,2,3,4,6,7]=>[1,8,2,3,5,4,6,7]=>([(1,7),(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[3,2,1,7,5,6,4,8]=>[1,7,2,3,4,8,5,6]=>[1,7,2,3,8,5,4,6]=>([(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[3,2,1,7,5,6,8,4]=>[1,7,2,3,4,5,6,8]=>[1,7,2,3,4,5,6,8]=>([(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[3,2,1,8,5,6,7,4]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>([(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[3,2,1,8,5,7,6,4]=>[1,8,2,3,4,5,7,6]=>[1,8,2,3,4,7,5,6]=>([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,2,1,8,6,5,7,4]=>[1,8,2,3,4,5,7,6]=>[1,8,2,3,4,7,5,6]=>([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,2,1,8,6,7,5,4]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>([(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[3,2,4,1,8,6,7,5]=>[1,8,2,4,3,5,6,7]=>[1,8,4,2,3,5,6,7]=>([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,2,7,4,6,5,8,1]=>[1,2,7,3,4,6,5,8]=>[1,2,7,3,6,4,5,8]=>([(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,2,7,5,4,6,1,8]=>[1,8,2,7,3,4,6,5]=>[1,8,7,3,6,4,2,5]=>([(1,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,2,3,1,6,5,8,7]=>[1,6,2,3,4,5,8,7]=>[1,6,2,3,4,5,8,7]=>([(1,2),(3,7),(4,7),(5,7),(6,7)],8)
[4,2,3,1,6,7,8,5]=>[1,6,7,8,2,3,4,5]=>[1,8,2,3,4,6,7,5]=>([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,2,3,1,7,6,8,5]=>[1,7,2,3,4,5,6,8]=>[1,7,2,3,4,5,6,8]=>([(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[4,2,3,1,8,6,7,5]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>([(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[4,2,3,1,8,7,6,5]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>([(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[4,2,3,5,1,8,7,6]=>[1,8,2,3,5,4,6,7]=>[1,8,2,5,3,4,6,7]=>([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,2,3,7,5,6,8,1]=>[1,2,3,7,4,5,6,8]=>[1,2,3,7,4,5,6,8]=>([(4,7),(5,7),(6,7)],8)
[4,2,3,7,6,5,8,1]=>[1,2,3,7,4,5,8,6]=>[1,2,3,7,4,8,5,6]=>([(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[4,2,3,8,7,6,5,1]=>[1,2,3,8,4,5,6,7]=>[1,2,3,8,4,5,6,7]=>([(3,7),(4,7),(5,7),(6,7)],8)
[5,2,3,4,1,8,7,6]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>([(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[7,2,3,4,6,5,1,8]=>[1,8,2,3,4,6,5,7]=>[1,8,2,3,6,4,5,7]=>([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,2,3,6,5,4,1,8]=>[1,8,2,3,6,4,5,7]=>[1,8,2,6,4,3,5,7]=>([(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,2,4,3,1,6,7,8]=>[1,6,7,8,2,4,3,5]=>[1,8,4,2,3,6,7,5]=>([(1,6),(1,7),(2,6),(2,7),(3,5),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[5,2,4,3,1,7,6,8]=>[1,7,2,4,3,5,6,8]=>[1,7,4,2,3,5,6,8]=>([(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,2,4,3,1,8,7,6]=>[1,8,2,4,3,5,6,7]=>[1,8,4,2,3,5,6,7]=>([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,2,4,3,6,1,8,7]=>[1,8,2,4,3,6,5,7]=>[1,8,4,2,6,3,5,7]=>([(1,7),(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[5,2,4,3,7,6,8,1]=>[1,2,4,3,7,5,6,8]=>[1,2,4,3,7,5,6,8]=>([(3,4),(5,7),(6,7)],8)
[7,2,4,3,6,5,8,1]=>[1,2,4,3,6,5,8,7]=>[1,2,4,3,6,5,8,7]=>([(2,7),(3,6),(4,5)],8)
[8,2,7,4,6,5,3,1]=>[1,2,7,3,4,6,5,8]=>[1,2,7,3,6,4,5,8]=>([(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,3,2,1,8,6,7,5]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>([(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[4,3,2,7,5,6,8,1]=>[1,2,7,3,4,5,6,8]=>[1,2,7,3,4,5,6,8]=>([(3,7),(4,7),(5,7),(6,7)],8)
[5,3,2,4,1,6,8,7]=>[1,6,8,2,4,3,5,7]=>[1,8,4,2,3,6,5,7]=>([(1,7),(2,3),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,3,2,4,1,8,7,6]=>[1,8,2,4,3,5,6,7]=>[1,8,4,2,3,5,6,7]=>([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,3,2,5,4,1,8,7]=>[1,8,2,5,3,4,6,7]=>[1,8,5,3,2,4,6,7]=>([(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,3,2,5,4,7,6,1]=>[1,2,5,3,4,7,6,8]=>[1,2,5,3,4,7,6,8]=>([(3,4),(5,7),(6,7)],8)
[8,3,2,7,6,5,4,1]=>[1,2,7,3,4,5,6,8]=>[1,2,7,3,4,5,6,8]=>([(3,7),(4,7),(5,7),(6,7)],8)
[5,3,4,2,1,7,8,6]=>[1,7,8,2,3,4,5,6]=>[1,8,2,3,4,5,7,6]=>([(1,7),(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[5,3,4,2,1,8,7,6]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>([(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[8,3,7,4,6,5,2,1]=>[1,2,3,7,4,6,5,8]=>[1,2,3,7,6,4,5,8]=>([(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,3,6,5,4,2,1,8]=>[1,8,2,3,6,4,5,7]=>[1,8,2,6,4,3,5,7]=>([(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,4,3,2,8,6,7,1]=>[1,2,8,3,4,5,6,7]=>[1,2,8,3,4,5,6,7]=>([(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[7,4,3,6,5,2,1,8]=>[1,8,2,3,6,4,5,7]=>[1,8,2,6,4,3,5,7]=>([(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,5,3,4,2,1,8,7]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>([(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[7,6,3,5,4,2,1,8]=>[1,8,2,3,5,4,6,7]=>[1,8,2,5,3,4,6,7]=>([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,7,3,5,4,6,2,1]=>[1,2,3,5,4,6,7,8]=>[1,2,3,5,4,6,7,8]=>([(6,7)],8)
[8,7,3,6,5,4,2,1]=>[1,2,3,6,4,5,7,8]=>[1,2,3,6,4,5,7,8]=>([(5,7),(6,7)],8)
[8,5,4,3,2,7,6,1]=>[1,2,7,3,4,5,6,8]=>[1,2,7,3,4,5,6,8]=>([(3,7),(4,7),(5,7),(6,7)],8)
[8,7,4,3,6,5,2,1]=>[1,2,3,6,4,5,7,8]=>[1,2,3,6,4,5,7,8]=>([(5,7),(6,7)],8)
[2,1,4,6,3,5,8,7]=>[1,4,6,2,3,5,8,7]=>[1,6,2,4,3,5,8,7]=>([(1,2),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[2,4,1,6,3,5,8,7]=>[1,6,2,4,3,5,8,7]=>[1,6,4,2,3,5,8,7]=>([(1,2),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,4,6,1,3,5,8,7]=>[1,3,5,8,2,4,6,7]=>[1,8,3,2,5,4,6,7]=>([(1,7),(2,7),(3,6),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[2,1,4,3,6,8,5,7]=>[1,4,2,3,6,8,5,7]=>[1,4,2,3,8,6,5,7]=>([(1,7),(2,4),(3,4),(5,6),(5,7),(6,7)],8)
[2,1,4,6,3,8,5,7]=>[1,4,6,2,3,8,5,7]=>[1,6,2,4,8,3,5,7]=>([(1,7),(2,5),(3,5),(3,7),(4,6),(4,7),(5,6),(6,7)],8)
[2,4,1,6,3,8,5,7]=>[1,6,2,4,3,8,5,7]=>[1,6,4,2,8,3,5,7]=>([(1,6),(2,5),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7)],8)
[2,4,6,1,3,8,5,7]=>[1,3,8,2,4,6,5,7]=>[1,8,3,2,6,4,5,7]=>([(1,7),(2,3),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,1,4,6,8,3,5,7]=>[1,4,6,8,2,3,5,7]=>[1,8,2,4,3,6,5,7]=>([(1,7),(2,7),(3,6),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[2,4,1,6,8,3,5,7]=>[1,6,8,2,4,3,5,7]=>[1,8,4,2,3,6,5,7]=>([(1,7),(2,3),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,4,6,1,8,3,5,7]=>[1,8,2,4,6,3,5,7]=>[1,8,6,2,3,4,5,7]=>([(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,4,6,8,1,3,5,7]=>[1,3,5,7,2,4,6,8]=>[1,7,3,2,5,4,6,8]=>([(2,7),(3,6),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[2,4,1,6,3,7,5,8]=>[1,6,2,4,3,7,5,8]=>[1,6,4,2,7,3,5,8]=>([(2,3),(2,7),(3,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,4,1,6,3,7,8,5]=>[1,6,2,4,3,7,8,5]=>[1,6,4,2,8,3,7,5]=>([(1,4),(1,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(5,7),(6,7)],8)
[2,4,1,6,7,3,8,5]=>[1,6,7,2,4,3,8,5]=>[1,7,4,2,8,6,3,5]=>([(1,4),(1,7),(2,3),(2,5),(2,7),(3,5),(3,6),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,4,1,6,7,8,3,5]=>[1,6,7,8,2,4,3,5]=>[1,8,4,2,3,6,7,5]=>([(1,6),(1,7),(2,6),(2,7),(3,5),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[2,4,6,7,1,8,3,5]=>[1,8,2,4,6,7,3,5]=>[1,8,7,2,3,4,6,5]=>([(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,1,4,3,7,5,8,6]=>[1,4,2,3,7,5,8,6]=>[1,4,2,3,7,8,5,6]=>([(1,7),(2,7),(3,5),(3,6),(4,5),(4,6)],8)
[2,4,1,3,7,5,8,6]=>[1,3,7,2,4,5,8,6]=>[1,7,3,2,4,8,5,6]=>([(1,7),(2,5),(2,6),(3,4),(3,7),(4,7),(5,7),(6,7)],8)
[2,4,7,1,3,5,8,6]=>[1,3,5,8,2,4,7,6]=>[1,8,3,2,5,7,4,6]=>([(1,2),(1,7),(2,7),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[2,1,4,3,7,8,5,6]=>[1,4,2,3,7,8,5,6]=>[1,4,2,3,8,5,7,6]=>([(1,7),(2,4),(3,4),(5,6),(5,7),(6,7)],8)
[2,4,1,3,7,8,5,6]=>[1,3,7,8,2,4,5,6]=>[1,8,3,2,4,5,7,6]=>([(1,7),(2,7),(3,6),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[2,4,7,1,3,8,5,6]=>[1,3,8,2,4,7,5,6]=>[1,8,3,2,7,5,4,6]=>([(1,2),(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,4,7,8,1,3,5,6]=>[1,3,5,6,2,4,7,8]=>[1,6,3,2,5,4,7,8]=>([(3,6),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[2,4,1,5,3,7,6,8]=>[1,5,2,4,3,7,6,8]=>[1,5,4,2,3,7,6,8]=>([(2,3),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,1,4,5,7,3,8,6]=>[1,4,5,7,2,3,8,6]=>[1,7,2,4,5,8,3,6]=>([(1,7),(2,3),(2,7),(3,6),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,4,5,7,1,3,8,6]=>[1,3,8,2,4,5,7,6]=>[1,8,3,2,4,7,5,6]=>([(1,7),(2,3),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,1,4,3,8,5,6,7]=>[1,4,2,3,8,5,6,7]=>[1,4,2,3,8,5,6,7]=>([(1,7),(2,7),(3,7),(4,6),(5,6)],8)
[2,4,1,3,8,5,6,7]=>[1,3,8,2,4,5,6,7]=>[1,8,3,2,4,5,6,7]=>([(1,7),(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[2,4,1,5,3,8,6,7]=>[1,5,2,4,3,8,6,7]=>[1,5,4,2,3,8,6,7]=>([(1,5),(2,5),(3,6),(3,7),(4,6),(4,7),(6,7)],8)
[2,4,1,5,3,6,8,7]=>[1,5,2,4,3,6,8,7]=>[1,5,4,2,3,6,8,7]=>([(2,3),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,4,1,5,3,6,7,8]=>[1,5,2,4,3,6,7,8]=>[1,5,4,2,3,6,7,8]=>([(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,4,1,5,6,7,8,3]=>[1,5,6,7,8,2,4,3]=>[1,8,4,2,5,6,7,3]=>([(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[2,4,5,6,7,1,8,3]=>[1,8,2,4,5,6,7,3]=>[1,8,7,2,4,5,6,3]=>([(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,4,5,6,7,8,1,3]=>[1,3,2,4,5,6,7,8]=>[1,3,2,4,5,6,7,8]=>([(6,7)],8)
[2,1,5,3,6,4,8,7]=>[1,5,2,3,6,4,8,7]=>[1,5,2,6,3,4,8,7]=>([(1,2),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[2,5,6,8,1,3,4,7]=>[1,3,4,7,2,5,6,8]=>[1,7,3,4,2,5,6,8]=>([(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,5,1,6,7,3,4,8]=>[1,6,7,2,5,3,4,8]=>[1,7,5,3,2,6,4,8]=>([(2,5),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,1,5,6,7,8,3,4]=>[1,5,6,7,8,2,3,4]=>[1,8,2,3,5,6,7,4]=>([(1,7),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,5,1,6,7,8,3,4]=>[1,6,7,8,2,5,3,4]=>[1,8,5,3,2,6,7,4]=>([(1,5),(1,7),(2,5),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,5,6,1,7,8,3,4]=>[1,7,8,2,5,6,3,4]=>[1,8,6,3,2,5,7,4]=>([(1,5),(1,7),(2,3),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,5,6,7,8,1,3,4]=>[1,3,4,2,5,6,7,8]=>[1,4,3,2,5,6,7,8]=>([(5,6),(5,7),(6,7)],8)
[2,1,5,3,7,4,8,6]=>[1,5,2,3,7,4,8,6]=>[1,5,2,7,3,8,4,6]=>([(1,7),(2,3),(2,5),(3,6),(4,5),(4,7),(5,6),(6,7)],8)
[2,5,1,7,3,4,8,6]=>[1,7,2,5,3,4,8,6]=>[1,7,5,3,2,8,4,6]=>([(1,2),(1,5),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,1,5,7,3,8,4,6]=>[1,5,7,2,3,8,4,6]=>[1,7,2,8,5,4,3,6]=>([(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[2,5,7,1,8,3,4,6]=>[1,8,2,5,7,3,4,6]=>[1,8,7,3,2,4,5,6]=>([(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,5,7,8,1,3,4,6]=>[1,3,4,6,2,5,7,8]=>[1,6,3,4,2,5,7,8]=>([(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,3,5,1,7,4,8,6]=>[1,7,2,3,5,4,8,6]=>[1,7,2,5,3,8,4,6]=>([(1,7),(2,3),(2,7),(3,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,3,5,1,6,4,7,8]=>[1,6,2,3,5,4,7,8]=>[1,6,2,5,3,4,7,8]=>([(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,3,5,1,6,7,8,4]=>[1,6,7,8,2,3,5,4]=>[1,8,2,5,3,6,7,4]=>([(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[2,3,5,6,7,8,1,4]=>[1,4,2,3,5,6,7,8]=>[1,4,2,3,5,6,7,8]=>([(5,7),(6,7)],8)
[2,1,6,3,7,4,8,5]=>[1,6,2,3,7,4,8,5]=>[1,6,2,7,8,3,4,5]=>([(1,7),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8)
[2,6,7,1,3,4,8,5]=>[1,3,4,8,2,6,7,5]=>[1,8,3,4,7,2,6,5]=>([(1,5),(1,7),(2,5),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,1,6,3,7,8,4,5]=>[1,6,2,3,7,8,4,5]=>[1,6,2,8,4,3,7,5]=>([(1,7),(2,5),(2,6),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[2,6,1,7,3,8,4,5]=>[1,7,2,6,3,8,4,5]=>[1,7,6,8,4,2,3,5]=>([(1,4),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(5,6),(5,7),(6,7)],8)
[2,1,6,7,8,3,4,5]=>[1,6,7,8,2,3,4,5]=>[1,8,2,3,4,6,7,5]=>([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,6,7,8,1,3,4,5]=>[1,3,4,5,2,6,7,8]=>[1,5,3,4,2,6,7,8]=>([(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,3,1,6,4,7,5,8]=>[1,6,2,3,4,7,5,8]=>[1,6,2,3,7,4,5,8]=>([(2,7),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[2,3,6,1,4,7,5,8]=>[1,4,7,2,3,6,5,8]=>[1,7,2,4,6,3,5,8]=>([(2,7),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[2,3,1,6,7,8,4,5]=>[1,6,7,8,2,3,4,5]=>[1,8,2,3,4,6,7,5]=>([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,1,6,3,4,8,5,7]=>[1,6,2,3,4,8,5,7]=>[1,6,2,3,8,4,5,7]=>([(1,7),(2,7),(3,6),(4,6),(4,7),(5,6),(5,7)],8)
[2,3,1,6,4,8,5,7]=>[1,6,2,3,4,8,5,7]=>[1,6,2,3,8,4,5,7]=>([(1,7),(2,7),(3,6),(4,6),(4,7),(5,6),(5,7)],8)
[2,3,1,6,8,4,5,7]=>[1,6,8,2,3,4,5,7]=>[1,8,2,3,4,6,5,7]=>([(1,7),(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[2,3,6,1,8,4,5,7]=>[1,8,2,3,6,4,5,7]=>[1,8,2,6,4,3,5,7]=>([(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,1,6,3,4,5,8,7]=>[1,6,2,3,4,5,8,7]=>[1,6,2,3,4,5,8,7]=>([(1,2),(3,7),(4,7),(5,7),(6,7)],8)
[2,3,4,1,6,8,5,7]=>[1,6,8,2,3,4,5,7]=>[1,8,2,3,4,6,5,7]=>([(1,7),(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[2,6,1,3,4,5,7,8]=>[1,3,4,5,7,8,2,6]=>[1,8,3,4,5,2,7,6]=>([(1,2),(1,7),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,3,4,6,1,7,5,8]=>[1,7,2,3,4,6,5,8]=>[1,7,2,3,6,4,5,8]=>([(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,3,4,6,7,8,1,5]=>[1,5,2,3,4,6,7,8]=>[1,5,2,3,4,6,7,8]=>([(4,7),(5,7),(6,7)],8)
[2,1,7,8,3,4,5,6]=>[1,7,8,2,3,4,5,6]=>[1,8,2,3,4,5,7,6]=>([(1,7),(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[2,7,1,8,3,4,5,6]=>[1,8,2,7,3,4,5,6]=>[1,8,7,3,4,5,2,6]=>([(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,7,8,1,3,4,5,6]=>[1,3,4,5,6,2,7,8]=>[1,6,3,4,5,2,7,8]=>([(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,3,1,7,4,8,5,6]=>[1,7,2,3,4,8,5,6]=>[1,7,2,3,8,5,4,6]=>([(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[2,3,7,8,1,4,5,6]=>[1,4,5,6,2,3,7,8]=>[1,6,2,4,5,3,7,8]=>([(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,3,4,1,7,5,8,6]=>[1,7,2,3,4,5,8,6]=>[1,7,2,3,4,8,5,6]=>([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[2,3,4,1,7,8,5,6]=>[1,7,8,2,3,4,5,6]=>[1,8,2,3,4,5,7,6]=>([(1,7),(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[2,3,4,7,1,8,5,6]=>[1,8,2,3,4,7,5,6]=>[1,8,2,3,7,5,4,6]=>([(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,7,1,3,4,5,6,8]=>[1,3,4,5,6,8,2,7]=>[1,8,3,4,5,6,2,7]=>([(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,3,4,1,7,5,6,8]=>[1,7,2,3,4,5,6,8]=>[1,7,2,3,4,5,6,8]=>([(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[2,3,4,5,7,1,8,6]=>[1,8,2,3,4,5,7,6]=>[1,8,2,3,4,7,5,6]=>([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,3,4,5,7,8,1,6]=>[1,6,2,3,4,5,7,8]=>[1,6,2,3,4,5,7,8]=>([(3,7),(4,7),(5,7),(6,7)],8)
[2,1,8,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>([(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[2,8,1,3,4,5,6,7]=>[1,3,4,5,6,7,2,8]=>[1,7,3,4,5,6,2,8]=>([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,1,3,8,4,5,6,7]=>[1,3,8,2,4,5,6,7]=>[1,8,3,2,4,5,6,7]=>([(1,7),(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[2,1,3,4,8,5,6,7]=>[1,3,4,8,2,5,6,7]=>[1,8,3,4,2,5,6,7]=>([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,3,1,4,8,5,6,7]=>[1,4,8,2,3,5,6,7]=>[1,8,2,4,3,5,6,7]=>([(1,7),(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[2,3,4,1,8,5,6,7]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>([(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[2,3,4,1,5,8,6,7]=>[1,5,8,2,3,4,6,7]=>[1,8,2,3,5,4,6,7]=>([(1,7),(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[2,3,4,5,1,8,6,7]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>([(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[2,3,4,5,8,1,6,7]=>[1,6,7,2,3,4,5,8]=>[1,7,2,3,4,6,5,8]=>([(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[2,3,4,5,6,8,1,7]=>[1,7,2,3,4,5,6,8]=>[1,7,2,3,4,5,6,8]=>([(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[3,1,4,2,6,5,8,7]=>[1,4,2,6,3,5,8,7]=>[1,4,6,2,3,5,8,7]=>([(1,2),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[3,4,1,2,6,5,8,7]=>[1,2,6,3,4,5,8,7]=>[1,2,6,3,4,5,8,7]=>([(2,3),(4,7),(5,7),(6,7)],8)
[3,1,4,2,6,8,5,7]=>[1,4,2,6,8,3,5,7]=>[1,4,8,2,3,6,5,7]=>([(1,7),(2,5),(2,6),(3,4),(3,7),(4,7),(5,7),(6,7)],8)
[3,4,1,2,6,8,5,7]=>[1,2,6,8,3,4,5,7]=>[1,2,8,3,4,6,5,7]=>([(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[3,4,6,8,1,2,5,7]=>[1,2,5,7,3,4,6,8]=>[1,2,7,3,5,4,6,8]=>([(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[3,4,6,1,2,7,5,8]=>[1,2,7,3,4,6,5,8]=>[1,2,7,3,6,4,5,8]=>([(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,4,6,7,1,2,5,8]=>[1,2,5,8,3,4,6,7]=>[1,2,8,3,5,4,6,7]=>([(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[3,1,4,2,6,7,8,5]=>[1,4,2,6,7,8,3,5]=>[1,4,8,2,3,6,7,5]=>([(1,2),(1,3),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,4,1,2,6,7,8,5]=>[1,2,6,7,8,3,4,5]=>[1,2,8,3,4,6,7,5]=>([(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,4,6,1,2,7,8,5]=>[1,2,7,8,3,4,6,5]=>[1,2,8,3,6,4,7,5]=>([(2,7),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[3,4,6,7,1,2,8,5]=>[1,2,8,3,4,6,7,5]=>[1,2,8,3,7,4,6,5]=>([(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,4,6,1,7,8,2,5]=>[1,7,8,2,5,3,4,6]=>[1,8,5,3,2,4,7,6]=>([(1,2),(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,4,6,7,1,8,2,5]=>[1,8,2,5,3,4,6,7]=>[1,8,5,3,2,4,6,7]=>([(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,1,4,2,7,5,8,6]=>[1,4,2,7,3,5,8,6]=>[1,4,7,2,3,8,5,6]=>([(1,5),(1,6),(2,3),(2,4),(3,7),(4,7),(5,7),(6,7)],8)
[3,4,1,2,7,8,5,6]=>[1,2,7,8,3,4,5,6]=>[1,2,8,3,4,5,7,6]=>([(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[3,4,7,8,1,2,5,6]=>[1,2,5,6,3,4,7,8]=>[1,2,6,3,5,4,7,8]=>([(4,7),(5,6),(5,7),(6,7)],8)
[3,1,4,2,8,5,6,7]=>[1,4,2,8,3,5,6,7]=>[1,4,8,2,3,5,6,7]=>([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[3,4,1,2,8,5,6,7]=>[1,2,8,3,4,5,6,7]=>[1,2,8,3,4,5,6,7]=>([(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[3,4,1,5,8,2,6,7]=>[1,5,8,2,6,7,3,4]=>[1,8,7,3,5,2,6,4]=>([(1,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,4,5,8,1,2,6,7]=>[1,2,6,7,3,4,5,8]=>[1,2,7,3,4,6,5,8]=>([(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[3,1,4,2,5,6,7,8]=>[1,4,2,5,6,7,8,3]=>[1,4,8,2,5,6,7,3]=>([(1,2),(1,7),(2,6),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,1,4,5,6,7,8,2]=>[1,4,5,6,7,8,2,3]=>[1,8,2,4,5,6,7,3]=>([(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,4,1,5,6,7,8,2]=>[1,5,6,7,8,2,3,4]=>[1,8,2,3,5,6,7,4]=>([(1,7),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,4,5,6,7,1,8,2]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>([(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[3,5,1,6,2,4,8,7]=>[1,6,2,4,8,3,5,7]=>[1,6,8,2,3,4,5,7]=>([(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[3,5,6,1,2,4,8,7]=>[1,2,4,8,3,5,6,7]=>[1,2,8,4,3,5,6,7]=>([(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[3,5,1,2,6,8,4,7]=>[1,2,6,8,3,5,4,7]=>[1,2,8,5,3,6,4,7]=>([(2,7),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[3,1,5,6,2,8,4,7]=>[1,5,6,2,8,3,4,7]=>[1,6,8,3,5,2,4,7]=>([(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[3,5,6,1,8,2,4,7]=>[1,8,2,4,7,3,5,6]=>[1,8,7,2,3,5,4,6]=>([(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,5,6,8,1,2,4,7]=>[1,2,4,7,3,5,6,8]=>[1,2,7,4,3,5,6,8]=>([(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[3,5,6,1,7,8,2,4]=>[1,7,8,2,4,3,5,6]=>[1,8,4,2,3,5,7,6]=>([(1,7),(2,3),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,5,6,7,8,1,2,4]=>[1,2,4,3,5,6,7,8]=>[1,2,4,3,5,6,7,8]=>([(6,7)],8)
[3,1,5,2,7,4,8,6]=>[1,5,2,7,3,4,8,6]=>[1,5,7,3,2,8,4,6]=>([(1,2),(1,6),(2,7),(3,4),(3,5),(3,6),(4,5),(4,7),(5,7),(6,7)],8)
[3,1,5,7,2,4,8,6]=>[1,5,7,2,4,8,3,6]=>[1,7,8,2,5,3,4,6]=>([(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[3,1,5,7,2,8,4,6]=>[1,5,7,2,8,3,4,6]=>[1,7,8,3,5,4,2,6]=>([(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[3,5,1,7,2,8,4,6]=>[1,7,2,8,3,5,4,6]=>[1,7,8,5,3,4,2,6]=>([(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[3,5,7,8,1,2,4,6]=>[1,2,4,6,3,5,7,8]=>[1,2,6,4,3,5,7,8]=>([(4,7),(5,6),(5,7),(6,7)],8)
[3,1,5,2,7,4,6,8]=>[1,5,2,7,3,4,6,8]=>[1,5,7,3,2,4,6,8]=>([(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[1,3,5,2,7,4,8,6]=>[1,3,5,2,7,4,8,6]=>[1,5,3,7,2,8,4,6]=>([(1,4),(1,5),(2,3),(2,7),(3,6),(4,5),(4,6),(5,7),(6,7)],8)
[3,1,5,2,8,4,6,7]=>[1,5,2,8,3,4,6,7]=>[1,5,8,3,2,4,6,7]=>([(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[1,3,2,5,4,8,6,7]=>[1,3,2,5,4,8,6,7]=>[1,3,2,5,4,8,6,7]=>([(1,4),(2,3),(5,7),(6,7)],8)
[1,3,2,5,8,4,6,7]=>[1,3,2,5,8,4,6,7]=>[1,3,2,8,5,4,6,7]=>([(1,2),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[1,3,5,8,2,4,6,7]=>[1,3,5,8,2,4,6,7]=>[1,8,3,2,5,4,6,7]=>([(1,7),(2,7),(3,6),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[1,3,5,2,6,8,4,7]=>[1,3,5,2,6,8,4,7]=>[1,5,3,8,2,6,4,7]=>([(1,7),(2,4),(2,5),(3,6),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[1,3,5,2,6,7,4,8]=>[1,3,5,2,6,7,4,8]=>[1,5,3,7,2,6,4,8]=>([(2,6),(2,7),(3,4),(3,5),(4,5),(4,7),(5,6),(6,7)],8)
[1,3,5,6,2,7,4,8]=>[1,3,5,6,2,7,4,8]=>[1,6,3,7,5,2,4,8]=>([(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[1,3,5,6,7,8,2,4]=>[1,3,5,6,7,8,2,4]=>[1,8,3,2,5,6,7,4]=>([(1,2),(1,7),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,6,1,7,2,8,4,5]=>[1,7,2,8,3,6,4,5]=>[1,7,8,6,4,3,2,5]=>([(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[3,6,7,1,2,8,4,5]=>[1,2,8,3,6,7,4,5]=>[1,2,8,7,4,3,6,5]=>([(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,6,7,8,1,2,4,5]=>[1,2,4,5,3,6,7,8]=>[1,2,5,4,3,6,7,8]=>([(5,6),(5,7),(6,7)],8)
[3,1,6,2,7,4,5,8]=>[1,6,2,7,3,4,5,8]=>[1,6,7,3,4,2,5,8]=>([(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[1,3,2,6,4,7,5,8]=>[1,3,2,6,4,7,5,8]=>[1,3,2,6,7,4,5,8]=>([(2,3),(4,6),(4,7),(5,6),(5,7)],8)
[1,3,6,2,4,7,8,5]=>[1,3,6,2,4,7,8,5]=>[1,6,3,2,8,4,7,5]=>([(1,2),(1,7),(2,7),(3,5),(3,7),(4,5),(4,6),(5,6),(6,7)],8)
[3,1,2,6,7,4,8,5]=>[1,2,6,7,3,4,8,5]=>[1,2,7,3,8,6,4,5]=>([(2,7),(3,4),(3,5),(3,6),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,3,6,2,7,8,4,5]=>[1,3,6,2,7,8,4,5]=>[1,6,3,8,4,2,7,5]=>([(1,5),(1,6),(2,4),(2,7),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[3,1,6,2,8,4,5,7]=>[1,6,2,8,3,4,5,7]=>[1,6,8,3,4,2,5,7]=>([(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[1,3,2,6,4,8,5,7]=>[1,3,2,6,4,8,5,7]=>[1,3,2,6,8,4,5,7]=>([(1,2),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[3,1,6,2,4,5,7,8]=>[1,6,2,4,5,7,8,3]=>[1,6,8,2,4,5,7,3]=>([(1,6),(1,7),(2,5),(2,6),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[1,3,2,6,4,5,7,8]=>[1,3,2,6,4,5,7,8]=>[1,3,2,6,4,5,7,8]=>([(3,4),(5,7),(6,7)],8)
[3,1,2,4,6,7,8,5]=>[1,2,4,6,7,8,3,5]=>[1,2,8,4,3,6,7,5]=>([(2,3),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,3,4,6,7,2,8,5]=>[1,3,4,6,7,2,8,5]=>[1,7,3,4,8,6,2,5]=>([(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[1,3,2,7,4,8,5,6]=>[1,3,2,7,4,8,5,6]=>[1,3,2,7,8,5,4,6]=>([(1,2),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[1,3,7,2,8,4,5,6]=>[1,3,7,2,8,4,5,6]=>[1,7,3,8,4,5,2,6]=>([(1,6),(1,7),(2,5),(2,6),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[3,7,1,2,4,5,6,8]=>[1,2,4,5,6,8,3,7]=>[1,2,8,4,5,6,3,7]=>([(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,3,2,7,4,5,6,8]=>[1,3,2,7,4,5,6,8]=>[1,3,2,7,4,5,6,8]=>([(2,3),(4,7),(5,7),(6,7)],8)
[1,3,4,5,7,8,2,6]=>[1,3,4,5,7,8,2,6]=>[1,8,3,4,5,2,7,6]=>([(1,2),(1,7),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,1,8,2,4,5,6,7]=>[1,8,2,4,5,6,7,3]=>[1,8,7,2,4,5,6,3]=>([(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,3,2,8,4,5,6,7]=>[1,3,2,8,4,5,6,7]=>[1,3,2,8,4,5,6,7]=>([(1,2),(3,7),(4,7),(5,7),(6,7)],8)
[3,1,2,4,8,5,6,7]=>[1,2,4,8,3,5,6,7]=>[1,2,8,4,3,5,6,7]=>([(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[1,3,2,4,8,5,6,7]=>[1,3,2,4,8,5,6,7]=>[1,3,2,4,8,5,6,7]=>([(2,3),(4,7),(5,7),(6,7)],8)
[1,3,4,2,8,5,6,7]=>[1,3,4,2,8,5,6,7]=>[1,4,3,2,8,5,6,7]=>([(1,7),(2,7),(3,7),(4,5),(4,6),(5,6)],8)
[1,3,2,4,5,8,6,7]=>[1,3,2,4,5,8,6,7]=>[1,3,2,4,5,8,6,7]=>([(3,4),(5,7),(6,7)],8)
[4,1,5,2,6,3,8,7]=>[1,5,2,6,3,8,4,7]=>[1,5,6,8,2,3,4,7]=>([(1,7),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8)
[4,5,1,2,6,3,8,7]=>[1,2,6,3,8,4,5,7]=>[1,2,6,8,4,3,5,7]=>([(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[4,5,6,1,2,3,8,7]=>[1,2,3,8,4,5,6,7]=>[1,2,3,8,4,5,6,7]=>([(3,7),(4,7),(5,7),(6,7)],8)
[4,1,5,2,6,8,3,7]=>[1,5,2,6,8,3,7,4]=>[1,5,8,7,2,6,3,4]=>([(1,2),(1,4),(1,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,5,1,6,2,8,3,7]=>[1,6,2,8,3,7,4,5]=>[1,6,8,7,4,2,3,5]=>([(1,4),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(5,6),(5,7),(6,7)],8)
[4,5,6,1,2,8,3,7]=>[1,2,8,3,7,4,5,6]=>[1,2,8,7,4,5,3,6]=>([(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,1,5,6,8,2,3,7]=>[1,5,6,8,2,3,7,4]=>[1,8,2,7,5,6,3,4]=>([(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,5,6,8,1,2,3,7]=>[1,2,3,7,4,5,6,8]=>[1,2,3,7,4,5,6,8]=>([(4,7),(5,7),(6,7)],8)
[4,5,1,6,2,7,3,8]=>[1,6,2,7,3,8,4,5]=>[1,6,7,8,4,2,3,5]=>([(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,7),(5,7),(6,7)],8)
[4,5,6,1,7,2,3,8]=>[1,7,2,3,8,4,5,6]=>[1,7,2,8,4,5,3,6]=>([(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[4,5,6,7,1,2,8,3]=>[1,2,8,3,4,5,6,7]=>[1,2,8,3,4,5,6,7]=>([(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[4,1,5,6,7,8,2,3]=>[1,5,6,7,8,2,3,4]=>[1,8,2,3,5,6,7,4]=>([(1,7),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,5,6,7,1,8,2,3]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>([(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[4,1,5,2,7,3,8,6]=>[1,5,2,7,3,8,4,6]=>[1,5,7,8,2,4,3,6]=>([(1,6),(1,7),(2,3),(2,4),(2,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[4,5,1,7,2,3,8,6]=>[1,7,2,3,8,4,5,6]=>[1,7,2,8,4,5,3,6]=>([(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[4,5,1,7,2,8,3,6]=>[1,7,2,8,3,6,4,5]=>[1,7,8,6,4,3,2,5]=>([(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[4,5,7,1,2,8,3,6]=>[1,2,8,3,6,4,5,7]=>[1,2,8,6,4,3,5,7]=>([(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,5,7,8,1,2,3,6]=>[1,2,3,6,4,5,7,8]=>[1,2,3,6,4,5,7,8]=>([(5,7),(6,7)],8)
[4,5,1,2,7,3,6,8]=>[1,2,7,3,6,8,4,5]=>[1,2,7,8,4,3,6,5]=>([(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[1,4,2,5,3,7,6,8]=>[1,4,2,5,3,7,6,8]=>[1,4,5,2,3,7,6,8]=>([(2,3),(4,6),(4,7),(5,6),(5,7)],8)
[1,4,2,5,7,3,8,6]=>[1,4,2,5,7,3,8,6]=>[1,4,7,2,5,8,3,6]=>([(1,4),(1,7),(2,3),(2,7),(3,6),(4,6),(5,6),(5,7),(6,7)],8)
[1,4,5,2,7,3,8,6]=>[1,4,5,2,7,3,8,6]=>[1,5,7,4,2,8,3,6]=>([(1,2),(1,7),(2,6),(3,4),(3,5),(3,6),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[1,4,5,7,2,3,8,6]=>[1,4,5,7,2,3,8,6]=>[1,7,2,4,5,8,3,6]=>([(1,7),(2,3),(2,7),(3,6),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,5,1,2,8,3,6,7]=>[1,2,8,3,6,7,4,5]=>[1,2,8,7,4,3,6,5]=>([(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,4,2,5,3,8,6,7]=>[1,4,2,5,3,8,6,7]=>[1,4,5,2,3,8,6,7]=>([(1,7),(2,7),(3,5),(3,6),(4,5),(4,6)],8)
[4,1,2,5,6,3,8,7]=>[1,2,5,6,3,8,4,7]=>[1,2,6,8,5,3,4,7]=>([(2,7),(3,4),(3,5),(3,6),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,4,2,5,3,6,7,8]=>[1,4,2,5,3,6,7,8]=>[1,4,5,2,3,6,7,8]=>([(4,6),(4,7),(5,6),(5,7)],8)
[1,4,5,2,6,3,7,8]=>[1,4,5,2,6,3,7,8]=>[1,5,6,4,2,3,7,8]=>([(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[1,4,2,5,6,7,3,8]=>[1,4,2,5,6,7,3,8]=>[1,4,7,2,5,6,3,8]=>([(2,3),(2,7),(3,6),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,4,5,6,2,7,3,8]=>[1,4,5,6,2,7,3,8]=>[1,6,7,4,5,2,3,8]=>([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[1,4,5,6,7,2,3,8]=>[1,4,5,6,7,2,3,8]=>[1,7,2,4,5,6,3,8]=>([(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,1,2,5,6,7,8,3]=>[1,2,5,6,7,8,3,4]=>[1,2,8,3,5,6,7,4]=>([(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,4,2,5,6,7,8,3]=>[1,4,2,5,6,7,8,3]=>[1,4,8,2,5,6,7,3]=>([(1,2),(1,7),(2,6),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,4,5,2,6,7,8,3]=>[1,4,5,2,6,7,8,3]=>[1,5,8,4,2,6,7,3]=>([(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[1,4,5,6,7,8,2,3]=>[1,4,5,6,7,8,2,3]=>[1,8,2,4,5,6,7,3]=>([(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,1,6,2,7,3,8,5]=>[1,6,2,7,3,8,4,5]=>[1,6,7,8,4,2,3,5]=>([(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,7),(5,7),(6,7)],8)
[4,6,7,1,8,2,3,5]=>[1,8,2,3,5,4,6,7]=>[1,8,2,5,3,4,6,7]=>([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,6,7,8,1,2,3,5]=>[1,2,3,5,4,6,7,8]=>[1,2,3,5,4,6,7,8]=>([(6,7)],8)
[4,6,1,7,2,3,5,8]=>[1,7,2,3,5,8,4,6]=>[1,7,2,8,3,4,5,6]=>([(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[4,6,1,2,3,7,5,8]=>[1,2,3,7,4,6,5,8]=>[1,2,3,7,6,4,5,8]=>([(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,4,2,6,3,7,5,8]=>[1,4,2,6,3,7,5,8]=>[1,4,6,2,7,3,5,8]=>([(2,5),(2,7),(3,4),(3,7),(4,6),(5,6),(6,7)],8)
[4,1,6,2,3,7,8,5]=>[1,6,2,3,7,8,4,5]=>[1,6,2,8,4,3,7,5]=>([(1,7),(2,5),(2,6),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[4,1,2,6,7,3,8,5]=>[1,2,6,7,3,8,4,5]=>[1,2,7,8,4,6,3,5]=>([(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[1,4,6,2,7,3,8,5]=>[1,4,6,2,7,3,8,5]=>[1,6,7,4,8,2,3,5]=>([(1,2),(1,6),(1,7),(2,4),(2,5),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[1,4,2,6,7,8,3,5]=>[1,4,2,6,7,8,3,5]=>[1,4,8,2,3,6,7,5]=>([(1,2),(1,3),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,4,6,2,7,8,3,5]=>[1,4,6,2,7,8,3,5]=>[1,6,8,4,3,2,7,5]=>([(1,2),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[1,4,6,7,2,8,3,5]=>[1,4,6,7,2,8,3,5]=>[1,7,8,4,3,6,2,5]=>([(1,4),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[4,6,1,8,2,3,5,7]=>[1,8,2,3,5,7,4,6]=>[1,8,2,7,3,4,5,6]=>([(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,1,2,6,3,8,5,7]=>[1,2,6,3,8,4,5,7]=>[1,2,6,8,4,3,5,7]=>([(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[1,4,2,6,3,8,5,7]=>[1,4,2,6,3,8,5,7]=>[1,4,6,2,8,3,5,7]=>([(1,7),(2,3),(2,5),(3,6),(4,5),(4,7),(5,6),(6,7)],8)
[4,1,2,3,6,5,8,7]=>[1,2,3,6,4,5,8,7]=>[1,2,3,6,4,5,8,7]=>([(3,4),(5,7),(6,7)],8)
[4,1,2,3,6,8,5,7]=>[1,2,3,6,8,4,5,7]=>[1,2,3,8,4,6,5,7]=>([(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[4,6,1,2,3,5,7,8]=>[1,2,3,5,7,8,4,6]=>[1,2,3,8,5,4,7,6]=>([(3,6),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[1,4,2,6,3,5,7,8]=>[1,4,2,6,3,5,7,8]=>[1,4,6,2,3,5,7,8]=>([(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[4,1,2,3,6,5,7,8]=>[1,2,3,6,4,5,7,8]=>[1,2,3,6,4,5,7,8]=>([(5,7),(6,7)],8)
[4,1,2,3,6,7,5,8]=>[1,2,3,6,7,4,5,8]=>[1,2,3,7,4,6,5,8]=>([(4,7),(5,6),(5,7),(6,7)],8)
[4,1,2,3,6,7,8,5]=>[1,2,3,6,7,8,4,5]=>[1,2,3,8,4,6,7,5]=>([(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,2,4,6,7,8,3,5]=>[1,2,4,6,7,8,3,5]=>[1,2,8,4,3,6,7,5]=>([(2,3),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,7,1,8,2,3,5,6]=>[1,8,2,3,5,6,4,7]=>[1,8,2,6,3,5,4,7]=>([(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,4,2,7,3,8,5,6]=>[1,4,2,7,3,8,5,6]=>[1,4,7,2,8,5,3,6]=>([(1,2),(1,7),(2,6),(3,4),(3,6),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[4,1,2,7,8,3,5,6]=>[1,2,7,8,3,5,6,4]=>[1,2,8,6,3,5,7,4]=>([(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,4,2,7,8,3,5,6]=>[1,4,2,7,8,3,5,6]=>[1,4,8,2,3,5,7,6]=>([(1,7),(2,5),(2,6),(3,4),(3,7),(4,7),(5,7),(6,7)],8)
[4,1,2,3,7,5,8,6]=>[1,2,3,7,4,5,8,6]=>[1,2,3,7,4,8,5,6]=>([(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[4,1,2,3,7,8,5,6]=>[1,2,3,7,8,4,5,6]=>[1,2,3,8,4,5,7,6]=>([(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[4,7,1,2,3,5,6,8]=>[1,2,3,5,6,8,4,7]=>[1,2,3,8,5,6,4,7]=>([(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,4,2,7,3,5,6,8]=>[1,4,2,7,3,5,6,8]=>[1,4,7,2,3,5,6,8]=>([(2,7),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[4,1,2,3,7,5,6,8]=>[1,2,3,7,4,5,6,8]=>[1,2,3,7,4,5,6,8]=>([(4,7),(5,7),(6,7)],8)
[1,4,2,3,7,5,6,8]=>[1,4,2,3,7,5,6,8]=>[1,4,2,3,7,5,6,8]=>([(2,7),(3,7),(4,6),(5,6)],8)
[4,1,2,3,5,7,6,8]=>[1,2,3,5,7,4,6,8]=>[1,2,3,7,5,4,6,8]=>([(4,7),(5,6),(5,7),(6,7)],8)
[1,4,2,3,5,7,6,8]=>[1,4,2,3,5,7,6,8]=>[1,4,2,3,5,7,6,8]=>([(3,4),(5,7),(6,7)],8)
[4,1,2,3,5,7,8,6]=>[1,2,3,5,7,8,4,6]=>[1,2,3,8,5,4,7,6]=>([(3,6),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[1,2,4,5,7,3,8,6]=>[1,2,4,5,7,3,8,6]=>[1,2,7,4,5,8,3,6]=>([(2,3),(2,7),(3,6),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,8,1,2,3,5,6,7]=>[1,2,3,5,6,7,4,8]=>[1,2,3,7,5,6,4,8]=>([(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,4,2,8,3,5,6,7]=>[1,4,2,8,3,5,6,7]=>[1,4,8,2,3,5,6,7]=>([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[4,1,2,3,8,5,6,7]=>[1,2,3,8,4,5,6,7]=>[1,2,3,8,4,5,6,7]=>([(3,7),(4,7),(5,7),(6,7)],8)
[1,4,2,3,8,5,6,7]=>[1,4,2,3,8,5,6,7]=>[1,4,2,3,8,5,6,7]=>([(1,7),(2,7),(3,7),(4,6),(5,6)],8)
[1,2,4,3,8,5,6,7]=>[1,2,4,3,8,5,6,7]=>[1,2,4,3,8,5,6,7]=>([(2,3),(4,7),(5,7),(6,7)],8)
[4,1,2,3,5,8,6,7]=>[1,2,3,5,8,4,6,7]=>[1,2,3,8,5,4,6,7]=>([(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[1,4,2,3,5,8,6,7]=>[1,4,2,3,5,8,6,7]=>[1,4,2,3,5,8,6,7]=>([(2,7),(3,7),(4,6),(5,6)],8)
[4,1,2,3,5,6,8,7]=>[1,2,3,5,6,8,4,7]=>[1,2,3,8,5,6,4,7]=>([(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,4,2,3,5,6,7,8]=>[1,4,2,3,5,6,7,8]=>[1,4,2,3,5,6,7,8]=>([(5,7),(6,7)],8)
[5,1,6,2,7,3,8,4]=>[1,6,2,7,3,8,4,5]=>[1,6,7,8,4,2,3,5]=>([(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,7),(5,7),(6,7)],8)
[5,6,1,2,7,8,3,4]=>[1,2,7,8,3,4,5,6]=>[1,2,8,3,4,5,7,6]=>([(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[1,5,2,6,3,7,4,8]=>[1,5,2,6,3,7,4,8]=>[1,5,6,7,2,3,4,8]=>([(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[5,6,1,2,3,7,8,4]=>[1,2,3,7,8,4,5,6]=>[1,2,3,8,4,5,7,6]=>([(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[1,5,6,7,8,2,3,4]=>[1,5,6,7,8,2,3,4]=>[1,8,2,3,5,6,7,4]=>([(1,7),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,6,1,2,8,3,4,7]=>[1,2,8,3,4,7,5,6]=>[1,2,8,3,7,5,4,6]=>([(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,6,8,1,2,3,4,7]=>[1,2,3,4,7,5,6,8]=>[1,2,3,4,7,5,6,8]=>([(5,7),(6,7)],8)
[5,1,6,2,3,8,4,7]=>[1,6,2,3,8,4,7,5]=>[1,6,2,8,7,3,4,5]=>([(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6)],8)
[5,6,1,2,3,8,4,7]=>[1,2,3,8,4,7,5,6]=>[1,2,3,8,7,5,4,6]=>([(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,5,2,6,3,8,4,7]=>[1,5,2,6,3,8,4,7]=>[1,5,6,8,2,3,4,7]=>([(1,7),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8)
[1,5,6,2,3,8,4,7]=>[1,5,6,2,3,8,4,7]=>[1,6,2,8,5,3,4,7]=>([(1,7),(2,6),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[1,5,2,6,3,4,7,8]=>[1,5,2,6,3,4,7,8]=>[1,5,6,3,2,4,7,8]=>([(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[1,5,2,3,6,4,7,8]=>[1,5,2,3,6,4,7,8]=>[1,5,2,6,3,4,7,8]=>([(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[1,2,5,3,6,4,7,8]=>[1,2,5,3,6,4,7,8]=>[1,2,5,6,3,4,7,8]=>([(4,6),(4,7),(5,6),(5,7)],8)
[1,2,5,6,3,4,7,8]=>[1,2,5,6,3,4,7,8]=>[1,2,6,3,5,4,7,8]=>([(4,7),(5,6),(5,7),(6,7)],8)
[5,1,2,3,6,7,8,4]=>[1,2,3,6,7,8,4,5]=>[1,2,3,8,4,6,7,5]=>([(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,2,5,3,6,7,8,4]=>[1,2,5,3,6,7,8,4]=>[1,2,5,8,3,6,7,4]=>([(2,3),(2,7),(3,6),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,2,5,6,3,7,8,4]=>[1,2,5,6,3,7,8,4]=>[1,2,6,8,5,3,7,4]=>([(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[1,2,5,6,7,3,8,4]=>[1,2,5,6,7,3,8,4]=>[1,2,7,8,5,6,3,4]=>([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[1,2,5,6,7,8,3,4]=>[1,2,5,6,7,8,3,4]=>[1,2,8,3,5,6,7,4]=>([(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,7,1,2,8,3,4,6]=>[1,2,8,3,4,6,5,7]=>[1,2,8,3,6,4,5,7]=>([(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,7,8,1,2,3,4,6]=>[1,2,3,4,6,5,7,8]=>[1,2,3,4,6,5,7,8]=>([(6,7)],8)
[1,5,2,7,3,8,4,6]=>[1,5,2,7,3,8,4,6]=>[1,5,7,8,2,4,3,6]=>([(1,6),(1,7),(2,3),(2,4),(2,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[1,5,7,2,8,3,4,6]=>[1,5,7,2,8,3,4,6]=>[1,7,8,3,5,4,2,6]=>([(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[5,1,2,7,3,4,8,6]=>[1,2,7,3,4,8,5,6]=>[1,2,7,3,8,5,4,6]=>([(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[5,7,1,2,3,4,6,8]=>[1,2,3,4,6,8,5,7]=>[1,2,3,4,8,6,5,7]=>([(4,7),(5,6),(5,7),(6,7)],8)
[1,5,2,7,3,4,6,8]=>[1,5,2,7,3,4,6,8]=>[1,5,7,3,2,4,6,8]=>([(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[1,5,2,3,7,4,6,8]=>[1,5,2,3,7,4,6,8]=>[1,5,2,7,3,4,6,8]=>([(2,7),(3,6),(4,6),(4,7),(5,6),(5,7)],8)
[1,5,2,3,4,7,6,8]=>[1,5,2,3,4,7,6,8]=>[1,5,2,3,4,7,6,8]=>([(2,3),(4,7),(5,7),(6,7)],8)
[5,1,2,8,3,4,6,7]=>[1,2,8,3,4,6,7,5]=>[1,2,8,3,7,4,6,5]=>([(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,5,2,8,3,4,6,7]=>[1,5,2,8,3,4,6,7]=>[1,5,8,3,2,4,6,7]=>([(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[1,5,8,2,3,4,6,7]=>[1,5,8,2,3,4,6,7]=>[1,8,2,3,5,4,6,7]=>([(1,7),(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[5,1,2,3,8,4,6,7]=>[1,2,3,8,4,6,7,5]=>[1,2,3,8,7,4,6,5]=>([(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,2,5,3,8,4,6,7]=>[1,2,5,3,8,4,6,7]=>[1,2,5,8,3,4,6,7]=>([(2,7),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[1,5,2,3,4,8,6,7]=>[1,5,2,3,4,8,6,7]=>[1,5,2,3,4,8,6,7]=>([(1,7),(2,7),(3,7),(4,6),(5,6)],8)
[1,2,3,5,4,8,6,7]=>[1,2,3,5,4,8,6,7]=>[1,2,3,5,4,8,6,7]=>([(3,4),(5,7),(6,7)],8)
[5,1,2,3,4,6,8,7]=>[1,2,3,4,6,8,5,7]=>[1,2,3,4,8,6,5,7]=>([(4,7),(5,6),(5,7),(6,7)],8)
[1,5,2,3,4,6,7,8]=>[1,5,2,3,4,6,7,8]=>[1,5,2,3,4,6,7,8]=>([(4,7),(5,7),(6,7)],8)
[6,1,7,8,2,3,4,5]=>[1,7,8,2,3,4,5,6]=>[1,8,2,3,4,5,7,6]=>([(1,7),(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[6,7,1,8,2,3,4,5]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>([(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[1,6,2,7,3,8,4,5]=>[1,6,2,7,3,8,4,5]=>[1,6,7,8,4,2,3,5]=>([(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,7),(5,7),(6,7)],8)
[1,6,7,8,2,3,4,5]=>[1,6,7,8,2,3,4,5]=>[1,8,2,3,4,6,7,5]=>([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,7,1,2,3,4,8,5]=>[1,2,3,4,8,5,6,7]=>[1,2,3,4,8,5,6,7]=>([(4,7),(5,7),(6,7)],8)
[6,1,2,3,7,8,4,5]=>[1,2,3,7,8,4,5,6]=>[1,2,3,8,4,5,7,6]=>([(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[6,1,7,2,3,4,5,8]=>[1,7,2,3,4,5,8,6]=>[1,7,2,3,4,8,5,6]=>([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[6,1,2,7,3,4,5,8]=>[1,2,7,3,4,5,8,6]=>[1,2,7,3,4,8,5,6]=>([(2,7),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[1,6,2,7,3,4,5,8]=>[1,6,2,7,3,4,5,8]=>[1,6,7,3,4,2,5,8]=>([(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[1,6,7,2,3,4,5,8]=>[1,6,7,2,3,4,5,8]=>[1,7,2,3,4,6,5,8]=>([(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[1,2,6,3,7,4,5,8]=>[1,2,6,3,7,4,5,8]=>[1,2,6,7,4,3,5,8]=>([(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[1,6,2,3,4,7,5,8]=>[1,6,2,3,4,7,5,8]=>[1,6,2,3,7,4,5,8]=>([(2,7),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[1,2,3,6,4,7,5,8]=>[1,2,3,6,4,7,5,8]=>[1,2,3,6,7,4,5,8]=>([(4,6),(4,7),(5,6),(5,7)],8)
[6,1,2,3,4,7,8,5]=>[1,2,3,4,7,8,5,6]=>[1,2,3,4,8,5,7,6]=>([(4,7),(5,6),(5,7),(6,7)],8)
[1,2,6,3,4,7,8,5]=>[1,2,6,3,4,7,8,5]=>[1,2,6,3,8,4,7,5]=>([(2,7),(3,5),(3,6),(4,6),(4,7),(5,6),(5,7)],8)
[1,2,3,6,4,7,8,5]=>[1,2,3,6,4,7,8,5]=>[1,2,3,6,8,4,7,5]=>([(3,6),(3,7),(4,5),(4,7),(5,6),(6,7)],8)
[1,2,3,6,7,4,8,5]=>[1,2,3,6,7,4,8,5]=>[1,2,3,7,8,6,4,5]=>([(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[6,1,8,2,3,4,5,7]=>[1,8,2,3,4,5,7,6]=>[1,8,2,3,4,7,5,6]=>([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,6,2,8,3,4,5,7]=>[1,6,2,8,3,4,5,7]=>[1,6,8,3,4,2,5,7]=>([(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[1,6,8,2,3,4,5,7]=>[1,6,8,2,3,4,5,7]=>[1,8,2,3,4,6,5,7]=>([(1,7),(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[1,6,2,3,4,8,5,7]=>[1,6,2,3,4,8,5,7]=>[1,6,2,3,8,4,5,7]=>([(1,7),(2,7),(3,6),(4,6),(4,7),(5,6),(5,7)],8)
[1,2,6,3,4,8,5,7]=>[1,2,6,3,4,8,5,7]=>[1,2,6,3,8,4,5,7]=>([(2,7),(3,6),(4,6),(4,7),(5,6),(5,7)],8)
[1,2,3,6,4,8,5,7]=>[1,2,3,6,4,8,5,7]=>[1,2,3,6,8,4,5,7]=>([(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[6,1,2,3,4,5,8,7]=>[1,2,3,4,5,8,6,7]=>[1,2,3,4,5,8,6,7]=>([(5,7),(6,7)],8)
[1,6,2,3,4,5,7,8]=>[1,6,2,3,4,5,7,8]=>[1,6,2,3,4,5,7,8]=>([(3,7),(4,7),(5,7),(6,7)],8)
[1,2,3,6,4,5,7,8]=>[1,2,3,6,4,5,7,8]=>[1,2,3,6,4,5,7,8]=>([(5,7),(6,7)],8)
[7,1,8,2,3,4,5,6]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>([(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[7,1,2,8,3,4,5,6]=>[1,2,8,3,4,5,6,7]=>[1,2,8,3,4,5,6,7]=>([(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[1,7,2,8,3,4,5,6]=>[1,7,2,8,3,4,5,6]=>[1,7,8,3,4,5,2,6]=>([(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[1,7,8,2,3,4,5,6]=>[1,7,8,2,3,4,5,6]=>[1,8,2,3,4,5,7,6]=>([(1,7),(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[1,7,2,3,8,4,5,6]=>[1,7,2,3,8,4,5,6]=>[1,7,2,8,4,5,3,6]=>([(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[7,1,2,3,4,8,5,6]=>[1,2,3,4,8,5,6,7]=>[1,2,3,4,8,5,6,7]=>([(4,7),(5,7),(6,7)],8)
[1,7,2,3,4,8,5,6]=>[1,7,2,3,4,8,5,6]=>[1,7,2,3,8,5,4,6]=>([(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[1,2,3,7,4,8,5,6]=>[1,2,3,7,4,8,5,6]=>[1,2,3,7,8,5,4,6]=>([(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[7,1,2,3,4,5,8,6]=>[1,2,3,4,5,8,6,7]=>[1,2,3,4,5,8,6,7]=>([(5,7),(6,7)],8)
[1,7,2,3,4,5,8,6]=>[1,7,2,3,4,5,8,6]=>[1,7,2,3,4,8,5,6]=>([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[1,2,7,3,4,5,8,6]=>[1,2,7,3,4,5,8,6]=>[1,2,7,3,4,8,5,6]=>([(2,7),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[1,2,3,7,4,5,8,6]=>[1,2,3,7,4,5,8,6]=>[1,2,3,7,4,8,5,6]=>([(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[1,2,3,4,7,5,8,6]=>[1,2,3,4,7,5,8,6]=>[1,2,3,4,7,8,5,6]=>([(4,6),(4,7),(5,6),(5,7)],8)
[1,2,3,4,7,8,5,6]=>[1,2,3,4,7,8,5,6]=>[1,2,3,4,8,5,7,6]=>([(4,7),(5,6),(5,7),(6,7)],8)
[1,7,2,3,4,5,6,8]=>[1,7,2,3,4,5,6,8]=>[1,7,2,3,4,5,6,8]=>([(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[1,2,3,7,4,5,6,8]=>[1,2,3,7,4,5,6,8]=>[1,2,3,7,4,5,6,8]=>([(4,7),(5,7),(6,7)],8)
[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>([(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[1,2,3,8,4,5,6,7]=>[1,2,3,8,4,5,6,7]=>[1,2,3,8,4,5,6,7]=>([(3,7),(4,7),(5,7),(6,7)],8)
[1,2,3,4,8,5,6,7]=>[1,2,3,4,8,5,6,7]=>[1,2,3,4,8,5,6,7]=>([(4,7),(5,7),(6,7)],8)
[1,2,3,4,5,8,6,7]=>[1,2,3,4,5,8,6,7]=>[1,2,3,4,5,8,6,7]=>([(5,7),(6,7)],8)
[7,3,2,5,4,8,1,6]=>[1,6,2,5,3,4,8,7]=>[1,6,5,3,2,4,8,7]=>([(1,2),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,4,5,2,3,7,6,1]=>[1,2,3,7,4,5,6,8]=>[1,2,3,7,4,5,6,8]=>([(4,7),(5,7),(6,7)],8)
[7,4,5,2,3,8,1,6]=>[1,6,2,3,8,4,5,7]=>[1,6,2,8,4,3,5,7]=>([(1,7),(2,6),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[6,4,5,2,3,1,8,7]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>([(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[5,4,6,2,1,3,8,7]=>[1,3,8,2,4,6,5,7]=>[1,8,3,2,6,4,5,7]=>([(1,7),(2,3),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,6,1,5,4,2,8,7]=>[1,5,2,8,3,6,4,7]=>[1,5,8,6,2,3,4,7]=>([(1,7),(2,3),(2,4),(2,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,6,5,1,3,2,8,7]=>[1,3,2,8,4,6,5,7]=>[1,3,2,8,6,4,5,7]=>([(1,2),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,6,4,3,1,2,8,7]=>[1,2,8,3,4,5,6,7]=>[1,2,8,3,4,5,6,7]=>([(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[7,5,4,3,2,8,1,6]=>[1,6,2,8,3,4,5,7]=>[1,6,8,3,4,2,5,7]=>([(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[8,6,4,3,7,2,5,1]=>[1,2,5,3,7,4,6,8]=>[1,2,5,7,3,4,6,8]=>([(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[7,6,4,3,8,2,1,5]=>[1,5,2,3,8,4,6,7]=>[1,5,2,8,3,4,6,7]=>([(1,7),(2,7),(3,6),(4,6),(4,7),(5,6),(5,7)],8)
[6,7,4,3,8,1,2,5]=>[1,2,5,3,8,4,6,7]=>[1,2,5,8,3,4,6,7]=>([(2,7),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[5,7,4,3,1,8,2,6]=>[1,8,2,6,3,4,5,7]=>[1,8,6,3,4,2,5,7]=>([(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,7,5,1,3,8,2,6]=>[1,3,8,2,6,4,7,5]=>[1,8,3,6,7,2,4,5]=>([(1,6),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,7,1,5,4,8,2,6]=>[1,5,2,6,3,7,4,8]=>[1,5,6,7,2,3,4,8]=>([(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[3,8,1,5,4,7,6,2]=>[1,5,2,3,8,4,7,6]=>[1,5,2,8,3,7,4,6]=>([(1,6),(2,5),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7)],8)
[4,8,5,1,3,7,6,2]=>[1,3,7,2,4,8,5,6]=>[1,7,3,2,8,5,4,6]=>([(1,2),(1,7),(2,7),(3,4),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[5,8,4,3,1,7,6,2]=>[1,7,2,3,4,5,8,6]=>[1,7,2,3,4,8,5,6]=>([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[6,8,4,3,7,1,5,2]=>[1,5,2,3,7,4,6,8]=>[1,5,2,7,3,4,6,8]=>([(2,7),(3,6),(4,6),(4,7),(5,6),(5,7)],8)
[7,8,4,3,6,5,1,2]=>[1,2,3,6,4,5,7,8]=>[1,2,3,6,4,5,7,8]=>([(5,7),(6,7)],8)
[6,8,5,7,3,1,4,2]=>[1,4,2,3,5,7,6,8]=>[1,4,2,3,5,7,6,8]=>([(3,4),(5,7),(6,7)],8)
[5,8,6,7,1,3,4,2]=>[1,3,4,2,5,8,6,7]=>[1,4,3,2,5,8,6,7]=>([(2,7),(3,7),(4,5),(4,6),(5,6)],8)
[4,8,6,1,7,3,5,2]=>[1,7,2,3,5,4,8,6]=>[1,7,2,5,3,8,4,6]=>([(1,7),(2,3),(2,7),(3,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,1,8,6,7,4,5,3]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>([(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[2,1,7,6,8,4,3,5]=>[1,7,2,3,5,4,6,8]=>[1,7,2,5,3,4,6,8]=>([(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,7,1,6,8,4,2,5]=>[1,6,8,2,5,3,7,4]=>[1,8,5,7,2,6,3,4]=>([(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[4,7,6,1,8,3,2,5]=>[1,8,2,5,3,4,7,6]=>[1,8,5,3,2,7,4,6]=>([(1,5),(1,7),(2,3),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[5,7,6,8,1,3,2,4]=>[1,3,2,4,5,7,6,8]=>[1,3,2,4,5,7,6,8]=>([(4,7),(5,6)],8)
[5,4,7,2,1,8,3,6]=>[1,8,2,3,6,4,7,5]=>[1,8,2,6,7,3,4,5]=>([(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[6,4,7,2,8,1,3,5]=>[1,3,5,2,8,4,7,6]=>[1,5,3,8,2,7,4,6]=>([(1,4),(1,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(5,7),(6,7)],8)
[7,4,6,2,8,3,1,5]=>[1,5,2,8,3,4,6,7]=>[1,5,8,3,2,4,6,7]=>([(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[8,4,6,2,7,3,5,1]=>[1,2,7,3,5,4,6,8]=>[1,2,7,5,3,4,6,8]=>([(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,3,2,6,7,4,5,1]=>[1,2,6,7,3,4,5,8]=>[1,2,7,3,4,6,5,8]=>([(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[5,3,2,7,1,8,4,6]=>[1,8,2,7,3,4,6,5]=>[1,8,7,3,6,4,2,5]=>([(1,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,3,2,1,7,8,5,6]=>[1,7,8,2,3,4,5,6]=>[1,8,2,3,4,5,7,6]=>([(1,7),(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[3,4,1,2,8,7,6,5]=>[1,2,8,3,4,5,6,7]=>[1,2,8,3,4,5,6,7]=>([(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[5,3,2,8,1,7,6,4]=>[1,7,2,8,3,4,5,6]=>[1,7,8,3,4,5,2,6]=>([(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[6,3,2,8,7,1,5,4]=>[1,5,2,8,3,4,6,7]=>[1,5,8,3,2,4,6,7]=>([(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[7,3,2,8,6,5,1,4]=>[1,4,2,8,3,5,6,7]=>[1,4,8,2,3,5,6,7]=>([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[8,4,7,2,6,5,3,1]=>[1,2,6,3,4,7,5,8]=>[1,2,6,3,7,4,5,8]=>([(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[7,4,8,2,6,5,1,3]=>[1,3,2,6,4,8,5,7]=>[1,3,2,6,8,4,5,7]=>([(1,2),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[6,4,8,2,7,1,5,3]=>[1,5,2,7,3,4,8,6]=>[1,5,7,3,2,8,4,6]=>([(1,2),(1,6),(2,7),(3,4),(3,5),(3,6),(4,5),(4,7),(5,7),(6,7)],8)
[5,4,8,2,1,7,6,3]=>[1,7,2,3,4,8,5,6]=>[1,7,2,3,8,5,4,6]=>([(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[4,5,8,1,2,7,6,3]=>[1,2,7,3,4,5,8,6]=>[1,2,7,3,4,8,5,6]=>([(2,7),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[3,5,1,8,2,7,6,4]=>[1,8,2,7,3,5,4,6]=>[1,8,7,5,3,4,2,6]=>([(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,1,6,8,7,3,5,4]=>[1,6,8,2,3,5,4,7]=>[1,8,2,5,3,6,4,7]=>([(1,7),(2,7),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[3,6,1,8,7,2,5,4]=>[1,8,2,5,3,6,4,7]=>[1,8,5,6,2,3,4,7]=>([(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[4,6,8,1,7,2,5,3]=>[1,7,2,5,3,4,6,8]=>[1,7,5,3,2,4,6,8]=>([(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,6,8,7,1,2,4,3]=>[1,2,4,3,5,6,8,7]=>[1,2,4,3,5,6,8,7]=>([(4,7),(5,6)],8)
[6,5,8,7,2,1,4,3]=>[1,4,2,3,5,8,6,7]=>[1,4,2,3,5,8,6,7]=>([(2,7),(3,7),(4,6),(5,6)],8)
[7,5,8,6,2,4,1,3]=>[1,3,2,4,5,8,6,7]=>[1,3,2,4,5,8,6,7]=>([(3,4),(5,7),(6,7)],8)
[8,5,7,6,2,4,3,1]=>[1,2,4,3,5,7,6,8]=>[1,2,4,3,5,7,6,8]=>([(4,7),(5,6)],8)
[5,7,8,6,1,4,2,3]=>[1,4,2,3,5,7,8,6]=>[1,4,2,3,5,8,7,6]=>([(2,7),(3,7),(4,5),(4,6),(5,6)],8)
[3,7,1,8,6,5,2,4]=>[1,8,2,4,3,7,5,6]=>[1,8,4,2,7,5,3,6]=>([(1,5),(1,7),(2,3),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,1,7,8,6,5,3,4]=>[1,7,8,2,3,4,5,6]=>[1,8,2,3,4,5,7,6]=>([(1,7),(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[3,8,1,7,6,5,4,2]=>[1,7,2,3,8,4,5,6]=>[1,7,2,8,4,5,3,6]=>([(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[4,8,7,1,6,5,3,2]=>[1,6,2,3,4,8,5,7]=>[1,6,2,3,8,4,5,7]=>([(1,7),(2,7),(3,6),(4,6),(4,7),(5,6),(5,7)],8)
[5,8,7,6,1,4,3,2]=>[1,4,2,3,5,8,6,7]=>[1,4,2,3,5,8,6,7]=>([(2,7),(3,7),(4,6),(5,6)],8)
[6,8,7,5,4,1,3,2]=>[1,3,2,4,5,6,8,7]=>[1,3,2,4,5,6,8,7]=>([(4,7),(5,6)],8)
[2,1,4,3,6,5,8,7,10,9]=>[1,4,2,3,6,5,8,7,10,9]=>[1,4,2,3,6,5,8,7,10,9]=>([(1,6),(2,5),(3,4),(7,9),(8,9)],10)
[8,7,6,5,4,3,2,1,10,9]=>[1,10,2,3,4,5,6,7,8,9]=>[1,10,2,3,4,5,6,7,8,9]=>([(1,9),(2,9),(3,9),(4,9),(5,9),(6,9),(7,9),(8,9)],10)
[6,7,8,9,10,1,2,3,4,5]=>[1,2,3,4,5,6,7,8,9,10]=>[1,2,3,4,5,6,7,8,9,10]=>([],10)
[6,5,4,3,2,1,10,9,8,7]=>[1,10,2,3,4,5,6,7,8,9]=>[1,10,2,3,4,5,6,7,8,9]=>([(1,9),(2,9),(3,9),(4,9),(5,9),(6,9),(7,9),(8,9)],10)
[4,3,2,1,10,9,8,7,6,5]=>[1,10,2,3,4,5,6,7,8,9]=>[1,10,2,3,4,5,6,7,8,9]=>([(1,9),(2,9),(3,9),(4,9),(5,9),(6,9),(7,9),(8,9)],10)
[2,1,10,9,8,7,6,5,4,3]=>[1,10,2,3,4,5,6,7,8,9]=>[1,10,2,3,4,5,6,7,8,9]=>([(1,9),(2,9),(3,9),(4,9),(5,9),(6,9),(7,9),(8,9)],10)
[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[1,2,3,4,5,6,7,8,9,10]=>([],10)
[3,2,6,1,4,5,7,8]=>[1,4,5,7,8,2,6,3]=>[1,8,6,4,5,2,7,3]=>([(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,3,5,1,2,4,7,8]=>[1,2,4,7,8,3,5,6]=>[1,2,8,4,3,5,7,6]=>([(2,7),(3,6),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[7,3,5,1,2,4,6,8]=>[1,2,4,6,8,3,5,7]=>[1,2,8,4,3,6,5,7]=>([(2,7),(3,6),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[6,2,8,1,3,4,5,7]=>[1,3,4,5,7,2,8,6]=>[1,7,3,4,5,8,2,6]=>([(1,2),(1,7),(2,6),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,5,8,1,2,3,4,7]=>[1,2,3,4,7,5,8,6]=>[1,2,3,4,7,8,5,6]=>([(4,6),(4,7),(5,6),(5,7)],8)
[7,5,8,1,2,3,4,6]=>[1,2,3,4,6,5,8,7]=>[1,2,3,4,6,5,8,7]=>([(4,7),(5,6)],8)
[8,3,7,1,2,4,5,6]=>[1,2,4,5,6,3,7,8]=>[1,2,6,4,5,3,7,8]=>([(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,5,7,1,2,3,4,6]=>[1,2,3,4,6,5,7,8]=>[1,2,3,4,6,5,7,8]=>([(6,7)],8)
[5,2,6,7,1,3,4,8]=>[1,3,4,8,2,6,7,5]=>[1,8,3,4,7,2,6,5]=>([(1,5),(1,7),(2,5),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,2,5,7,1,3,4,8]=>[1,3,4,8,2,5,7,6]=>[1,8,3,4,2,7,5,6]=>([(1,6),(1,7),(2,6),(2,7),(3,5),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[6,3,5,7,1,2,4,8]=>[1,2,4,8,3,5,7,6]=>[1,2,8,4,3,7,5,6]=>([(2,3),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,2,6,8,1,3,5,7]=>[1,3,5,7,2,6,8,4]=>[1,7,3,8,5,2,6,4]=>([(1,6),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[3,2,7,8,1,4,5,6]=>[1,4,5,6,2,7,8,3]=>[1,6,8,4,5,2,7,3]=>([(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,2,4,6,1,3,5,7]=>[1,3,5,7,2,4,6,8]=>[1,7,3,2,5,4,6,8]=>([(2,7),(3,6),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[8,3,5,7,1,2,4,6]=>[1,2,4,6,3,5,7,8]=>[1,2,6,4,3,5,7,8]=>([(4,7),(5,6),(5,7),(6,7)],8)
[5,6,2,4,1,3,7,8]=>[1,3,7,8,2,4,5,6]=>[1,8,3,2,4,5,7,6]=>([(1,7),(2,7),(3,6),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[4,8,2,5,1,3,6,7]=>[1,3,6,7,2,5,4,8]=>[1,7,3,5,2,6,4,8]=>([(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[4,8,2,6,1,3,5,7]=>[1,3,5,7,2,6,4,8]=>[1,7,3,6,5,2,4,8]=>([(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,8,2,4,1,3,5,7]=>[1,3,5,7,2,4,6,8]=>[1,7,3,2,5,4,6,8]=>([(2,7),(3,6),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[3,8,2,7,1,4,5,6]=>[1,4,5,6,2,7,3,8]=>[1,6,7,4,5,2,3,8]=>([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[4,8,2,7,1,3,5,6]=>[1,3,5,6,2,7,4,8]=>[1,6,3,7,5,2,4,8]=>([(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[5,8,3,7,1,2,4,6]=>[1,2,4,6,3,7,5,8]=>[1,2,6,4,7,3,5,8]=>([(3,6),(3,7),(4,5),(4,7),(5,6),(6,7)],8)
[5,8,4,7,1,2,3,6]=>[1,2,3,6,4,7,5,8]=>[1,2,3,6,7,4,5,8]=>([(4,6),(4,7),(5,6),(5,7)],8)
[6,8,5,7,1,2,3,4]=>[1,2,3,4,5,7,6,8]=>[1,2,3,4,5,7,6,8]=>([(6,7)],8)
[7,8,2,4,1,3,5,6]=>[1,3,5,6,2,4,7,8]=>[1,6,3,2,5,4,7,8]=>([(3,6),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[7,8,3,5,1,2,4,6]=>[1,2,4,6,3,5,7,8]=>[1,2,6,4,3,5,7,8]=>([(4,7),(5,6),(5,7),(6,7)],8)
[7,8,4,6,1,2,3,5]=>[1,2,3,5,4,6,7,8]=>[1,2,3,5,4,6,7,8]=>([(6,7)],8)
[4,3,2,6,1,5,7,8]=>[1,5,7,8,2,6,3,4]=>[1,8,6,3,5,2,7,4]=>([(1,5),(1,7),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,3,2,6,1,4,7,8]=>[1,4,7,8,2,6,3,5]=>[1,8,6,4,3,2,7,5]=>([(1,2),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,4,2,6,1,3,7,8]=>[1,3,7,8,2,6,4,5]=>[1,8,3,6,4,2,7,5]=>([(1,5),(1,7),(2,3),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,3,2,7,1,5,6,8]=>[1,5,6,8,2,7,3,4]=>[1,8,7,3,5,6,2,4]=>([(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,5,3,7,1,2,4,8]=>[1,2,4,8,3,7,5,6]=>[1,2,8,4,7,5,3,6]=>([(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,3,2,8,1,5,6,7]=>[1,5,6,7,2,8,3,4]=>[1,7,8,3,5,6,2,4]=>([(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[5,3,2,8,1,4,6,7]=>[1,4,6,7,2,8,3,5]=>[1,7,8,4,3,6,2,5]=>([(1,4),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[6,4,2,8,1,3,5,7]=>[1,3,5,7,2,8,4,6]=>[1,7,3,8,5,4,2,6]=>([(1,5),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[6,5,2,8,1,3,4,7]=>[1,3,4,7,2,8,5,6]=>[1,7,3,4,8,5,2,6]=>([(1,6),(1,7),(2,6),(2,7),(3,4),(3,6),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[6,5,3,8,1,2,4,7]=>[1,2,4,7,3,8,5,6]=>[1,2,7,4,8,5,3,6]=>([(2,5),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[6,5,4,8,1,2,3,7]=>[1,2,3,7,4,8,5,6]=>[1,2,3,7,8,5,4,6]=>([(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[7,4,2,8,1,3,5,6]=>[1,3,5,6,2,8,4,7]=>[1,6,3,8,5,2,4,7]=>([(1,7),(2,5),(2,6),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[7,4,3,8,1,2,5,6]=>[1,2,5,6,3,8,4,7]=>[1,2,6,8,5,3,4,7]=>([(2,7),(3,4),(3,5),(3,6),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,4,2,5,1,3,6,7]=>[1,3,6,7,2,5,4,8]=>[1,7,3,5,2,6,4,8]=>([(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[8,4,2,6,1,3,5,7]=>[1,3,5,7,2,6,4,8]=>[1,7,3,6,5,2,4,8]=>([(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,6,2,4,1,3,5,7]=>[1,3,5,7,2,4,6,8]=>[1,7,3,2,5,4,6,8]=>([(2,7),(3,6),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[8,4,2,7,1,3,5,6]=>[1,3,5,6,2,7,4,8]=>[1,6,3,7,5,2,4,8]=>([(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[8,5,4,7,1,2,3,6]=>[1,2,3,6,4,7,5,8]=>[1,2,3,6,7,4,5,8]=>([(4,6),(4,7),(5,6),(5,7)],8)
[8,7,2,4,1,3,5,6]=>[1,3,5,6,2,4,7,8]=>[1,6,3,2,5,4,7,8]=>([(3,6),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[8,7,3,5,1,2,4,6]=>[1,2,4,6,3,5,7,8]=>[1,2,6,4,3,5,7,8]=>([(4,7),(5,6),(5,7),(6,7)],8)
[8,7,2,6,1,3,4,5]=>[1,3,4,5,2,6,7,8]=>[1,5,3,4,2,6,7,8]=>([(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,7,3,6,1,2,4,5]=>[1,2,4,5,3,6,7,8]=>[1,2,5,4,3,6,7,8]=>([(5,6),(5,7),(6,7)],8)
[8,7,4,6,1,2,3,5]=>[1,2,3,5,4,6,7,8]=>[1,2,3,5,4,6,7,8]=>([(6,7)],8)
[5,6,2,4,8,1,3,7]=>[1,3,7,2,4,8,5,6]=>[1,7,3,2,8,5,4,6]=>([(1,2),(1,7),(2,7),(3,4),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[5,7,2,4,8,1,3,6]=>[1,3,6,2,4,8,5,7]=>[1,6,3,2,8,4,5,7]=>([(1,6),(2,3),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[4,7,3,6,8,1,2,5]=>[1,2,5,3,6,8,4,7]=>[1,2,5,8,3,6,4,7]=>([(2,7),(3,4),(3,7),(4,6),(5,6),(5,7),(6,7)],8)
[6,7,3,4,8,1,2,5]=>[1,2,5,3,4,8,6,7]=>[1,2,5,3,4,8,6,7]=>([(2,7),(3,7),(4,6),(5,6)],8)
[5,8,4,6,7,1,2,3]=>[1,2,3,4,6,7,5,8]=>[1,2,3,4,7,6,5,8]=>([(5,6),(5,7),(6,7)],8)
[6,8,2,5,7,1,3,4]=>[1,3,4,2,5,7,6,8]=>[1,4,3,2,5,7,6,8]=>([(3,4),(5,6),(5,7),(6,7)],8)
[7,8,2,4,6,1,3,5]=>[1,3,5,2,4,6,7,8]=>[1,5,3,2,4,6,7,8]=>([(4,7),(5,6),(5,7),(6,7)],8)
[6,3,2,5,8,1,4,7]=>[1,4,7,2,5,8,3,6]=>[1,7,8,4,2,3,5,6]=>([(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[6,4,3,5,8,1,2,7]=>[1,2,7,3,5,8,4,6]=>[1,2,7,8,3,4,5,6]=>([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[6,5,2,4,8,1,3,7]=>[1,3,7,2,4,8,5,6]=>[1,7,3,2,8,5,4,6]=>([(1,2),(1,7),(2,7),(3,4),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[4,3,2,7,8,1,5,6]=>[1,5,6,2,7,8,3,4]=>[1,6,8,3,5,2,7,4]=>([(1,6),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[5,4,2,7,8,1,3,6]=>[1,3,6,2,7,8,4,5]=>[1,6,3,8,4,2,7,5]=>([(1,5),(1,6),(2,4),(2,7),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[8,7,2,4,6,1,3,5]=>[1,3,5,2,4,6,7,8]=>[1,5,3,2,4,6,7,8]=>([(4,7),(5,6),(5,7),(6,7)],8)
[8,7,3,4,6,1,2,5]=>[1,2,5,3,4,6,7,8]=>[1,2,5,3,4,6,7,8]=>([(5,7),(6,7)],8)
[4,3,7,2,6,1,5,8]=>[1,5,8,2,6,3,7,4]=>[1,8,6,7,5,2,3,4]=>([(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,3,7,2,5,1,4,8]=>[1,4,8,2,5,3,7,6]=>[1,8,5,4,2,7,3,6]=>([(1,3),(1,7),(2,5),(2,6),(2,7),(3,4),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,4,7,2,5,1,3,8]=>[1,3,8,2,5,4,7,6]=>[1,8,3,5,2,7,4,6]=>([(1,6),(1,7),(2,5),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,7),(6,7)],8)
[6,4,8,2,5,1,3,7]=>[1,3,7,2,5,4,8,6]=>[1,7,3,5,2,8,4,6]=>([(1,2),(1,7),(2,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,3,8,2,7,1,5,6]=>[1,5,6,2,7,3,8,4]=>[1,6,7,8,5,2,3,4]=>([(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,7),(5,7),(6,7)],8)
[6,4,8,2,7,1,3,5]=>[1,3,5,2,7,4,8,6]=>[1,5,3,7,2,8,4,6]=>([(1,4),(1,5),(2,3),(2,7),(3,6),(4,5),(4,6),(5,7),(6,7)],8)
[6,5,8,2,7,1,3,4]=>[1,3,4,2,7,5,8,6]=>[1,4,3,2,7,8,5,6]=>([(1,6),(1,7),(2,3),(2,4),(3,4),(5,6),(5,7)],8)
[7,5,8,4,6,1,2,3]=>[1,2,3,4,6,5,8,7]=>[1,2,3,4,6,5,8,7]=>([(4,7),(5,6)],8)
[8,3,7,2,6,1,4,5]=>[1,4,5,2,6,3,7,8]=>[1,5,6,4,2,3,7,8]=>([(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[8,4,7,2,6,1,3,5]=>[1,3,5,2,6,4,7,8]=>[1,5,3,6,2,4,7,8]=>([(3,6),(3,7),(4,5),(4,7),(5,6),(6,7)],8)
[8,4,7,3,6,1,2,5]=>[1,2,5,3,6,4,7,8]=>[1,2,5,6,3,4,7,8]=>([(4,6),(4,7),(5,6),(5,7)],8)
[8,6,7,2,5,1,3,4]=>[1,3,4,2,5,6,7,8]=>[1,4,3,2,5,6,7,8]=>([(5,6),(5,7),(6,7)],8)
[6,4,3,2,7,1,5,8]=>[1,5,8,2,7,3,4,6]=>[1,8,7,3,5,4,2,6]=>([(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,5,3,2,7,1,4,8]=>[1,4,8,2,7,3,5,6]=>[1,8,7,4,3,5,2,6]=>([(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,5,3,2,8,1,4,7]=>[1,4,7,2,8,3,5,6]=>[1,7,8,4,3,5,2,6]=>([(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[7,5,3,2,8,1,4,6]=>[1,4,6,2,8,3,5,7]=>[1,6,8,4,3,2,5,7]=>([(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[7,6,5,3,8,1,2,4]=>[1,2,4,3,8,5,6,7]=>[1,2,4,3,8,5,6,7]=>([(2,3),(4,7),(5,7),(6,7)],8)
[8,5,3,2,7,1,4,6]=>[1,4,6,2,7,3,5,8]=>[1,6,7,4,3,2,5,8]=>([(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[8,6,5,3,7,1,2,4]=>[1,2,4,3,7,5,6,8]=>[1,2,4,3,7,5,6,8]=>([(3,4),(5,7),(6,7)],8)
[8,7,4,2,6,1,3,5]=>[1,3,5,2,6,4,7,8]=>[1,5,3,6,2,4,7,8]=>([(3,6),(3,7),(4,5),(4,7),(5,6),(6,7)],8)
[8,7,4,3,6,1,2,5]=>[1,2,5,3,6,4,7,8]=>[1,2,5,6,3,4,7,8]=>([(4,6),(4,7),(5,6),(5,7)],8)
[8,7,5,3,6,1,2,4]=>[1,2,4,3,6,5,7,8]=>[1,2,4,3,6,5,7,8]=>([(4,7),(5,6)],8)
[8,7,6,2,4,1,3,5]=>[1,3,5,2,4,6,7,8]=>[1,5,3,2,4,6,7,8]=>([(4,7),(5,6),(5,7),(6,7)],8)
[4,8,3,7,2,6,1,5]=>[1,5,2,6,3,7,4,8]=>[1,5,6,7,2,3,4,8]=>([(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[5,8,3,7,2,6,1,4]=>[1,4,2,6,3,7,5,8]=>[1,4,6,2,7,3,5,8]=>([(2,5),(2,7),(3,4),(3,7),(4,6),(5,6),(6,7)],8)
[5,8,4,7,2,6,1,3]=>[1,3,2,6,4,7,5,8]=>[1,3,2,6,7,4,5,8]=>([(2,3),(4,6),(4,7),(5,6),(5,7)],8)
[5,8,4,7,3,6,1,2]=>[1,2,3,6,4,7,5,8]=>[1,2,3,6,7,4,5,8]=>([(4,6),(4,7),(5,6),(5,7)],8)
[6,8,3,7,2,5,1,4]=>[1,4,2,5,3,7,6,8]=>[1,4,5,2,3,7,6,8]=>([(2,3),(4,6),(4,7),(5,6),(5,7)],8)
[6,8,4,7,2,5,1,3]=>[1,3,2,5,4,7,6,8]=>[1,3,2,5,4,7,6,8]=>([(2,7),(3,6),(4,5)],8)
[6,8,4,7,3,5,1,2]=>[1,2,3,5,4,7,6,8]=>[1,2,3,5,4,7,6,8]=>([(4,7),(5,6)],8)
[6,8,5,7,2,4,1,3]=>[1,3,2,4,5,7,6,8]=>[1,3,2,4,5,7,6,8]=>([(4,7),(5,6)],8)
[6,8,5,7,3,4,1,2]=>[1,2,3,4,5,7,6,8]=>[1,2,3,4,5,7,6,8]=>([(6,7)],8)
[7,8,3,6,2,5,1,4]=>[1,4,2,5,3,6,7,8]=>[1,4,5,2,3,6,7,8]=>([(4,6),(4,7),(5,6),(5,7)],8)
[7,8,4,6,2,5,1,3]=>[1,3,2,5,4,6,7,8]=>[1,3,2,5,4,6,7,8]=>([(4,7),(5,6)],8)
[7,8,4,6,3,5,1,2]=>[1,2,3,5,4,6,7,8]=>[1,2,3,5,4,6,7,8]=>([(6,7)],8)
[7,8,5,6,2,4,1,3]=>[1,3,2,4,5,6,7,8]=>[1,3,2,4,5,6,7,8]=>([(6,7)],8)
[6,4,3,8,2,7,1,5]=>[1,5,2,7,3,8,4,6]=>[1,5,7,8,2,4,3,6]=>([(1,6),(1,7),(2,3),(2,4),(2,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[6,5,3,8,2,7,1,4]=>[1,4,2,7,3,8,5,6]=>[1,4,7,2,8,5,3,6]=>([(1,2),(1,7),(2,6),(3,4),(3,6),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[7,5,3,8,2,6,1,4]=>[1,4,2,6,3,8,5,7]=>[1,4,6,2,8,3,5,7]=>([(1,7),(2,3),(2,5),(3,6),(4,5),(4,7),(5,6),(6,7)],8)
[7,6,4,8,2,5,1,3]=>[1,3,2,5,4,8,6,7]=>[1,3,2,5,4,8,6,7]=>([(1,4),(2,3),(5,7),(6,7)],8)
[8,5,3,7,2,6,1,4]=>[1,4,2,6,3,7,5,8]=>[1,4,6,2,7,3,5,8]=>([(2,5),(2,7),(3,4),(3,7),(4,6),(5,6),(6,7)],8)
[8,5,4,7,2,6,1,3]=>[1,3,2,6,4,7,5,8]=>[1,3,2,6,7,4,5,8]=>([(2,3),(4,6),(4,7),(5,6),(5,7)],8)
[8,5,4,7,3,6,1,2]=>[1,2,3,6,4,7,5,8]=>[1,2,3,6,7,4,5,8]=>([(4,6),(4,7),(5,6),(5,7)],8)
[8,6,4,7,2,5,1,3]=>[1,3,2,5,4,7,6,8]=>[1,3,2,5,4,7,6,8]=>([(2,7),(3,6),(4,5)],8)
[8,7,5,6,2,4,1,3]=>[1,3,2,4,5,6,7,8]=>[1,3,2,4,5,6,7,8]=>([(6,7)],8)
[6,5,4,3,2,8,1,7]=>[1,7,2,8,3,4,5,6]=>[1,7,8,3,4,5,2,6]=>([(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[8,5,4,3,2,7,1,6]=>[1,6,2,7,3,4,5,8]=>[1,6,7,3,4,2,5,8]=>([(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[8,7,5,4,2,6,1,3]=>[1,3,2,6,4,5,7,8]=>[1,3,2,6,4,5,7,8]=>([(3,4),(5,7),(6,7)],8)
[8,7,6,5,2,4,1,3]=>[1,3,2,4,5,6,7,8]=>[1,3,2,4,5,6,7,8]=>([(6,7)],8)
[8,1,2,3,4,7,5,6]=>[1,2,3,4,7,5,6,8]=>[1,2,3,4,7,5,6,8]=>([(5,7),(6,7)],8)
[8,1,2,3,7,4,5,6]=>[1,2,3,7,4,5,6,8]=>[1,2,3,7,4,5,6,8]=>([(4,7),(5,7),(6,7)],8)
[5,1,2,3,8,7,4,6]=>[1,2,3,8,4,6,5,7]=>[1,2,3,8,6,4,5,7]=>([(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,1,2,3,6,7,4,5]=>[1,2,3,6,7,4,5,8]=>[1,2,3,7,4,6,5,8]=>([(4,7),(5,6),(5,7),(6,7)],8)
[4,1,2,7,6,3,8,5]=>[1,2,7,3,8,4,5,6]=>[1,2,7,8,4,5,3,6]=>([(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[8,1,2,5,6,3,4,7]=>[1,2,5,6,3,4,7,8]=>[1,2,6,3,5,4,7,8]=>([(4,7),(5,6),(5,7),(6,7)],8)
[8,1,2,5,7,3,4,6]=>[1,2,5,7,3,4,6,8]=>[1,2,7,3,5,4,6,8]=>([(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[8,1,2,7,6,3,4,5]=>[1,2,7,3,4,5,6,8]=>[1,2,7,3,4,5,6,8]=>([(3,7),(4,7),(5,7),(6,7)],8)
[7,1,2,5,6,3,8,4]=>[1,2,5,6,3,8,4,7]=>[1,2,6,8,5,3,4,7]=>([(2,7),(3,4),(3,5),(3,6),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,1,7,2,6,4,8,5]=>[1,7,2,6,3,4,8,5]=>[1,7,6,3,8,2,4,5]=>([(1,3),(1,6),(1,7),(2,3),(2,6),(2,7),(3,5),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,1,4,2,3,8,5,7]=>[1,4,2,3,8,5,7,6]=>[1,4,2,3,8,7,5,6]=>([(1,5),(2,5),(3,6),(3,7),(4,6),(4,7),(6,7)],8)
[8,1,4,2,3,7,5,6]=>[1,4,2,3,7,5,6,8]=>[1,4,2,3,7,5,6,8]=>([(2,7),(3,7),(4,6),(5,6)],8)
[8,1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6,8]=>[1,7,2,3,4,5,6,8]=>([(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[6,1,5,2,3,8,4,7]=>[1,5,2,3,8,4,7,6]=>[1,5,2,8,3,7,4,6]=>([(1,6),(2,5),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7)],8)
[5,1,4,2,7,3,8,6]=>[1,4,2,7,3,8,5,6]=>[1,4,7,2,8,5,3,6]=>([(1,2),(1,7),(2,6),(3,4),(3,6),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[8,1,4,2,6,3,5,7]=>[1,4,2,6,3,5,7,8]=>[1,4,6,2,3,5,7,8]=>([(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[7,1,4,2,6,3,8,5]=>[1,4,2,6,3,8,5,7]=>[1,4,6,2,8,3,5,7]=>([(1,7),(2,3),(2,5),(3,6),(4,5),(4,7),(5,6),(6,7)],8)
[8,1,5,2,7,3,4,6]=>[1,5,2,7,3,4,6,8]=>[1,5,7,3,2,4,6,8]=>([(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[7,1,5,2,6,3,8,4]=>[1,5,2,6,3,8,4,7]=>[1,5,6,8,2,3,4,7]=>([(1,7),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8)
[5,1,4,2,8,7,3,6]=>[1,4,2,8,3,6,5,7]=>[1,4,8,2,6,3,5,7]=>([(1,7),(2,3),(2,7),(3,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,1,4,2,6,7,8,3]=>[1,4,2,6,7,8,3,5]=>[1,4,8,2,3,6,7,5]=>([(1,2),(1,3),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,1,8,6,2,7,4,5]=>[1,8,2,7,3,4,5,6]=>[1,8,7,3,4,5,2,6]=>([(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,1,4,5,2,3,6,7]=>[1,4,5,2,3,6,7,8]=>[1,5,2,4,3,6,7,8]=>([(4,7),(5,6),(5,7),(6,7)],8)
[7,1,4,8,2,3,5,6]=>[1,4,8,2,3,5,6,7]=>[1,8,2,4,3,5,6,7]=>([(1,7),(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[7,1,8,5,2,3,4,6]=>[1,8,2,3,4,6,5,7]=>[1,8,2,3,6,4,5,7]=>([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,1,8,6,2,3,4,5]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>([(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[8,1,4,5,2,7,3,6]=>[1,4,5,2,7,3,6,8]=>[1,5,7,4,2,3,6,8]=>([(2,7),(3,4),(3,5),(3,6),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,1,6,5,2,7,3,4]=>[1,6,2,7,3,4,5,8]=>[1,6,7,3,4,2,5,8]=>([(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[3,1,4,8,7,2,5,6]=>[1,4,8,2,5,6,3,7]=>[1,8,6,4,2,5,3,7]=>([(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,1,7,5,6,2,8,4]=>[1,7,2,8,3,4,5,6]=>[1,7,8,3,4,5,2,6]=>([(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[8,1,4,5,7,2,3,6]=>[1,4,5,7,2,3,6,8]=>[1,7,2,4,5,3,6,8]=>([(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,1,4,7,6,2,3,5]=>[1,4,7,2,3,5,6,8]=>[1,7,2,4,3,5,6,8]=>([(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[8,1,7,5,6,2,3,4]=>[1,7,2,3,4,5,6,8]=>[1,7,2,3,4,5,6,8]=>([(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[3,1,4,5,8,7,2,6]=>[1,4,5,8,2,6,3,7]=>[1,8,6,4,5,2,3,7]=>([(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,1,4,8,6,7,2,5]=>[1,4,8,2,5,3,6,7]=>[1,8,5,4,2,3,6,7]=>([(1,7),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,1,8,5,6,7,2,4]=>[1,8,2,4,3,5,6,7]=>[1,8,4,2,3,5,6,7]=>([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,1,4,5,6,7,2,3]=>[1,4,5,6,7,2,3,8]=>[1,7,2,4,5,6,3,8]=>([(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,8,1,3,4,7,5,6]=>[1,3,4,7,2,8,5,6]=>[1,7,3,4,8,5,2,6]=>([(1,6),(1,7),(2,6),(2,7),(3,4),(3,6),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[2,4,1,8,6,3,5,7]=>[1,8,2,4,3,5,7,6]=>[1,8,4,2,3,7,5,6]=>([(1,6),(1,7),(2,6),(2,7),(3,5),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[8,3,1,2,4,7,5,6]=>[1,2,4,7,3,5,6,8]=>[1,2,7,4,3,5,6,8]=>([(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[8,3,1,2,6,4,5,7]=>[1,2,6,3,4,5,7,8]=>[1,2,6,3,4,5,7,8]=>([(4,7),(5,7),(6,7)],8)
[7,6,1,2,3,4,8,5]=>[1,2,3,4,8,5,6,7]=>[1,2,3,4,8,5,6,7]=>([(4,7),(5,7),(6,7)],8)
[5,8,1,2,3,7,4,6]=>[1,2,3,7,4,6,5,8]=>[1,2,3,7,6,4,5,8]=>([(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,6,1,2,3,7,4,5]=>[1,2,3,7,4,5,6,8]=>[1,2,3,7,4,5,6,8]=>([(4,7),(5,7),(6,7)],8)
[5,4,1,2,8,3,6,7]=>[1,2,8,3,6,7,4,5]=>[1,2,8,7,4,3,6,5]=>([(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,4,1,2,6,3,8,5]=>[1,2,6,3,8,4,5,7]=>[1,2,6,8,4,3,5,7]=>([(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[5,8,1,2,7,3,4,6]=>[1,2,7,3,4,6,5,8]=>[1,2,7,3,6,4,5,8]=>([(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,7,1,2,6,3,4,5]=>[1,2,6,3,4,5,7,8]=>[1,2,6,3,4,5,7,8]=>([(4,7),(5,7),(6,7)],8)
[5,7,1,2,6,3,8,4]=>[1,2,6,3,8,4,5,7]=>[1,2,6,8,4,3,5,7]=>([(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[5,4,1,2,8,7,3,6]=>[1,2,8,3,6,4,5,7]=>[1,2,8,6,4,3,5,7]=>([(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,4,1,2,6,7,3,5]=>[1,2,6,7,3,5,4,8]=>[1,2,7,5,3,6,4,8]=>([(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[5,8,1,2,6,7,3,4]=>[1,2,6,7,3,4,5,8]=>[1,2,7,3,4,6,5,8]=>([(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[5,4,1,2,6,7,8,3]=>[1,2,6,7,8,3,4,5]=>[1,2,8,3,4,6,7,5]=>([(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,3,1,6,2,8,5,7]=>[1,6,2,8,3,4,5,7]=>[1,6,8,3,4,2,5,7]=>([(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[4,3,1,6,2,7,8,5]=>[1,6,2,7,8,3,4,5]=>[1,6,8,3,4,2,7,5]=>([(1,4),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(6,7)],8)
[7,3,1,6,2,4,8,5]=>[1,6,2,4,8,3,5,7]=>[1,6,8,2,3,4,5,7]=>([(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[8,3,1,5,2,7,4,6]=>[1,5,2,7,3,4,6,8]=>[1,5,7,3,2,4,6,8]=>([(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[8,3,1,6,2,7,4,5]=>[1,6,2,7,3,4,5,8]=>[1,6,7,3,4,2,5,8]=>([(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[6,3,1,5,2,7,8,4]=>[1,5,2,7,8,3,4,6]=>[1,5,8,3,2,4,7,6]=>([(1,2),(1,7),(2,7),(3,4),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[7,4,1,5,2,3,8,6]=>[1,5,2,3,8,4,6,7]=>[1,5,2,8,3,4,6,7]=>([(1,7),(2,7),(3,6),(4,6),(4,7),(5,6),(5,7)],8)
[8,4,1,6,2,3,5,7]=>[1,6,2,3,5,7,4,8]=>[1,6,2,7,3,5,4,8]=>([(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[7,4,1,8,2,3,5,6]=>[1,8,2,3,5,6,4,7]=>[1,8,2,6,3,5,4,7]=>([(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,4,1,6,2,3,8,5]=>[1,6,2,3,8,4,5,7]=>[1,6,2,8,4,3,5,7]=>([(1,7),(2,6),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[8,7,1,5,2,3,4,6]=>[1,5,2,3,4,6,7,8]=>[1,5,2,3,4,6,7,8]=>([(4,7),(5,7),(6,7)],8)
[8,7,1,6,2,3,4,5]=>[1,6,2,3,4,5,7,8]=>[1,6,2,3,4,5,7,8]=>([(3,7),(4,7),(5,7),(6,7)],8)
[6,7,1,5,2,3,8,4]=>[1,5,2,3,8,4,6,7]=>[1,5,2,8,3,4,6,7]=>([(1,7),(2,7),(3,6),(4,6),(4,7),(5,6),(5,7)],8)
[6,4,1,5,2,8,3,7]=>[1,5,2,8,3,7,4,6]=>[1,5,8,7,2,4,3,6]=>([(1,6),(1,7),(2,3),(2,6),(2,7),(3,4),(3,5),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,4,1,5,2,7,3,6]=>[1,5,2,7,3,6,4,8]=>[1,5,7,6,2,3,4,8]=>([(2,3),(2,4),(2,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,4,1,6,2,7,3,5]=>[1,6,2,7,3,5,4,8]=>[1,6,7,5,3,2,4,8]=>([(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[6,8,1,5,2,7,3,4]=>[1,5,2,7,3,4,6,8]=>[1,5,7,3,2,4,6,8]=>([(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[6,4,1,5,2,7,8,3]=>[1,5,2,7,8,3,4,6]=>[1,5,8,3,2,4,7,6]=>([(1,2),(1,7),(2,7),(3,4),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[4,3,1,7,6,2,8,5]=>[1,7,2,8,3,4,5,6]=>[1,7,8,3,4,5,2,6]=>([(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[7,3,1,5,6,2,8,4]=>[1,5,6,2,8,3,4,7]=>[1,6,8,3,5,2,4,7]=>([(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[8,4,1,7,6,2,3,5]=>[1,7,2,3,5,4,6,8]=>[1,7,2,5,3,4,6,8]=>([(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,4,1,5,6,2,8,3]=>[1,5,6,2,8,3,4,7]=>[1,6,8,3,5,2,4,7]=>([(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[4,3,1,5,6,8,2,7]=>[1,5,6,8,2,7,3,4]=>[1,8,7,3,5,6,2,4]=>([(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,3,1,8,6,7,2,5]=>[1,8,2,5,3,4,6,7]=>[1,8,5,3,2,4,6,7]=>([(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,3,1,5,6,7,8,2]=>[1,5,6,7,8,2,3,4]=>[1,8,2,3,5,6,7,4]=>([(1,7),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,6,4,1,3,7,8,5]=>[1,3,7,8,2,6,4,5]=>[1,8,3,6,4,2,7,5]=>([(1,5),(1,7),(2,3),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,8,5,1,3,7,4,6]=>[1,3,7,2,8,4,6,5]=>[1,7,3,8,6,4,2,5]=>([(1,6),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[2,6,5,1,3,7,8,4]=>[1,3,7,8,2,6,4,5]=>[1,8,3,6,4,2,7,5]=>([(1,5),(1,7),(2,3),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,7,4,1,6,3,8,5]=>[1,6,2,7,3,8,4,5]=>[1,6,7,8,4,2,3,5]=>([(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,7),(5,7),(6,7)],8)
[2,7,8,1,6,3,4,5]=>[1,6,2,7,8,3,4,5]=>[1,6,8,3,4,2,7,5]=>([(1,4),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(6,7)],8)
[2,7,5,1,6,3,8,4]=>[1,6,2,7,3,8,4,5]=>[1,6,7,8,4,2,3,5]=>([(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,7),(5,7),(6,7)],8)
[2,5,4,1,8,7,3,6]=>[1,8,2,5,3,6,4,7]=>[1,8,5,6,2,3,4,7]=>([(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[2,5,4,1,6,7,8,3]=>[1,6,7,8,2,5,3,4]=>[1,8,5,3,2,6,7,4]=>([(1,5),(1,7),(2,5),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,3,4,1,2,7,8,5]=>[1,2,7,8,3,4,5,6]=>[1,2,8,3,4,5,7,6]=>([(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[7,3,5,1,2,4,8,6]=>[1,2,4,8,3,5,6,7]=>[1,2,8,4,3,5,6,7]=>([(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[6,3,7,1,2,4,8,5]=>[1,2,4,8,3,7,5,6]=>[1,2,8,4,7,5,3,6]=>([(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,3,5,1,2,7,4,6]=>[1,2,7,3,5,4,6,8]=>[1,2,7,5,3,4,6,8]=>([(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,3,8,1,2,7,4,5]=>[1,2,7,3,8,4,5,6]=>[1,2,7,8,4,5,3,6]=>([(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[7,5,4,1,2,3,8,6]=>[1,2,3,8,4,5,6,7]=>[1,2,3,8,4,5,6,7]=>([(3,7),(4,7),(5,7),(6,7)],8)
[6,7,4,1,2,3,8,5]=>[1,2,3,8,4,5,6,7]=>[1,2,3,8,4,5,6,7]=>([(3,7),(4,7),(5,7),(6,7)],8)
[6,8,5,1,2,3,4,7]=>[1,2,3,4,7,5,6,8]=>[1,2,3,4,7,5,6,8]=>([(5,7),(6,7)],8)
[6,7,5,1,2,3,8,4]=>[1,2,3,8,4,5,6,7]=>[1,2,3,8,4,5,6,7]=>([(3,7),(4,7),(5,7),(6,7)],8)
[8,5,4,1,2,7,3,6]=>[1,2,7,3,6,4,5,8]=>[1,2,7,6,4,3,5,8]=>([(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,8,4,1,2,7,3,5]=>[1,2,7,3,5,4,6,8]=>[1,2,7,5,3,4,6,8]=>([(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,8,5,1,2,7,3,4]=>[1,2,7,3,4,5,6,8]=>[1,2,7,3,4,5,6,8]=>([(3,7),(4,7),(5,7),(6,7)],8)
[6,5,4,1,2,7,8,3]=>[1,2,7,8,3,4,5,6]=>[1,2,8,3,4,5,7,6]=>([(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[8,3,4,1,7,2,5,6]=>[1,7,2,5,6,3,4,8]=>[1,7,6,3,2,5,4,8]=>([(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,3,4,1,6,2,8,5]=>[1,6,2,8,3,4,5,7]=>[1,6,8,3,4,2,5,7]=>([(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[8,3,5,1,6,2,4,7]=>[1,6,2,4,7,3,5,8]=>[1,6,7,2,3,4,5,8]=>([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[8,3,5,1,7,2,4,6]=>[1,7,2,4,6,3,5,8]=>[1,7,6,2,3,4,5,8]=>([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,3,5,1,6,2,8,4]=>[1,6,2,8,3,5,4,7]=>[1,6,8,5,3,2,4,7]=>([(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[8,5,4,1,7,2,3,6]=>[1,7,2,3,6,4,5,8]=>[1,7,2,6,4,3,5,8]=>([(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,8,4,1,6,2,3,5]=>[1,6,2,3,5,4,7,8]=>[1,6,2,5,3,4,7,8]=>([(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,8,5,1,6,2,3,4]=>[1,6,2,3,4,5,7,8]=>[1,6,2,3,4,5,7,8]=>([(3,7),(4,7),(5,7),(6,7)],8)
[7,5,4,1,6,2,8,3]=>[1,6,2,8,3,4,5,7]=>[1,6,8,3,4,2,5,7]=>([(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[5,3,4,1,8,7,2,6]=>[1,8,2,6,3,4,5,7]=>[1,8,6,3,4,2,5,7]=>([(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,3,4,1,6,7,2,5]=>[1,6,7,2,5,3,4,8]=>[1,7,5,3,2,6,4,8]=>([(2,5),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,5,4,1,6,7,2,3]=>[1,6,7,2,3,4,5,8]=>[1,7,2,3,4,6,5,8]=>([(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[5,3,4,1,6,7,8,2]=>[1,6,7,8,2,3,4,5]=>[1,8,2,3,4,6,7,5]=>([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,3,4,8,1,7,5,6]=>[1,7,2,3,4,8,5,6]=>[1,7,2,3,8,5,4,6]=>([(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[2,3,8,6,1,7,4,5]=>[1,7,2,3,8,4,5,6]=>[1,7,2,8,4,5,3,6]=>([(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[2,8,4,6,1,3,5,7]=>[1,3,5,7,2,8,4,6]=>[1,7,3,8,5,4,2,6]=>([(1,5),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[2,7,4,8,1,3,5,6]=>[1,3,5,6,2,7,4,8]=>[1,6,3,7,5,2,4,8]=>([(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[2,8,6,5,1,3,4,7]=>[1,3,4,7,2,8,5,6]=>[1,7,3,4,8,5,2,6]=>([(1,6),(1,7),(2,6),(2,7),(3,4),(3,6),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[2,7,8,5,1,3,4,6]=>[1,3,4,6,2,7,8,5]=>[1,6,3,4,8,2,7,5]=>([(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(4,5),(4,7),(5,6),(6,7)],8)
[2,7,8,6,1,3,4,5]=>[1,3,4,5,2,7,8,6]=>[1,5,3,4,2,8,7,6]=>([(1,2),(1,3),(2,3),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,6,4,5,1,8,3,7]=>[1,8,2,6,3,7,4,5]=>[1,8,6,7,4,2,3,5]=>([(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[2,8,4,5,1,7,3,6]=>[1,7,2,8,3,6,4,5]=>[1,7,8,6,4,3,2,5]=>([(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[2,8,4,6,1,7,3,5]=>[1,7,2,8,3,5,4,6]=>[1,7,8,5,3,4,2,6]=>([(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[2,8,6,5,1,7,3,4]=>[1,7,2,8,3,4,5,6]=>[1,7,8,3,4,5,2,6]=>([(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[7,3,4,6,1,2,8,5]=>[1,2,8,3,4,6,5,7]=>[1,2,8,3,6,4,5,7]=>([(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,3,8,6,1,2,4,5]=>[1,2,4,5,3,8,6,7]=>[1,2,5,4,3,8,6,7]=>([(2,7),(3,7),(4,5),(4,6),(5,6)],8)
[7,3,6,5,1,2,8,4]=>[1,2,8,3,6,4,5,7]=>[1,2,8,6,4,3,5,7]=>([(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,6,4,5,1,2,8,3]=>[1,2,8,3,4,5,6,7]=>[1,2,8,3,4,5,6,7]=>([(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[6,3,4,5,1,8,2,7]=>[1,8,2,7,3,4,5,6]=>[1,8,7,3,4,5,2,6]=>([(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,3,4,5,1,7,2,6]=>[1,7,2,6,3,4,5,8]=>[1,7,6,3,4,2,5,8]=>([(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,3,4,6,1,7,2,5]=>[1,7,2,5,3,4,6,8]=>[1,7,5,3,2,4,6,8]=>([(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,3,6,5,1,7,2,4]=>[1,7,2,4,3,6,5,8]=>[1,7,4,2,6,3,5,8]=>([(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[8,6,4,5,1,7,2,3]=>[1,7,2,3,4,5,6,8]=>[1,7,2,3,4,5,6,8]=>([(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[6,3,4,5,1,7,8,2]=>[1,7,8,2,3,4,5,6]=>[1,8,2,3,4,5,7,6]=>([(1,7),(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[2,3,4,8,6,1,5,7]=>[1,5,7,2,3,4,8,6]=>[1,7,2,3,5,8,4,6]=>([(1,7),(2,7),(3,4),(3,7),(4,6),(5,6),(5,7),(6,7)],8)
[2,3,4,7,6,1,8,5]=>[1,8,2,3,4,7,5,6]=>[1,8,2,3,7,5,4,6]=>([(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,3,8,5,7,1,4,6]=>[1,4,6,2,3,8,5,7]=>[1,6,2,4,8,3,5,7]=>([(1,7),(2,5),(3,5),(3,7),(4,6),(4,7),(5,6),(6,7)],8)
[2,3,8,7,6,1,4,5]=>[1,4,5,2,3,8,6,7]=>[1,5,2,4,3,8,6,7]=>([(1,7),(2,4),(3,4),(5,6),(5,7),(6,7)],8)
[2,3,7,5,6,1,8,4]=>[1,8,2,3,7,4,5,6]=>[1,8,2,7,4,5,3,6]=>([(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,8,4,5,6,1,3,7]=>[1,3,7,2,8,4,5,6]=>[1,7,3,8,4,5,2,6]=>([(1,6),(1,7),(2,5),(2,6),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[2,8,4,5,7,1,3,6]=>[1,3,6,2,8,4,5,7]=>[1,6,3,8,4,2,5,7]=>([(1,7),(2,5),(2,6),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[2,8,4,7,6,1,3,5]=>[1,3,5,2,8,4,7,6]=>[1,5,3,8,2,7,4,6]=>([(1,4),(1,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(5,7),(6,7)],8)
[2,8,7,5,6,1,3,4]=>[1,3,4,2,8,5,6,7]=>[1,4,3,2,8,5,6,7]=>([(1,7),(2,7),(3,7),(4,5),(4,6),(5,6)],8)
[2,7,4,5,6,1,8,3]=>[1,8,2,7,3,4,5,6]=>[1,8,7,3,4,5,2,6]=>([(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,3,4,5,7,1,2,6]=>[1,2,6,3,4,5,7,8]=>[1,2,6,3,4,5,7,8]=>([(4,7),(5,7),(6,7)],8)
[8,3,4,7,6,1,2,5]=>[1,2,5,3,4,7,6,8]=>[1,2,5,3,4,7,6,8]=>([(3,4),(5,7),(6,7)],8)
[8,3,7,5,6,1,2,4]=>[1,2,4,3,7,5,6,8]=>[1,2,4,3,7,5,6,8]=>([(3,4),(5,7),(6,7)],8)
[7,3,4,5,6,1,8,2]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>([(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[2,3,4,5,8,7,1,6]=>[1,6,2,3,4,5,8,7]=>[1,6,2,3,4,5,8,7]=>([(1,2),(3,7),(4,7),(5,7),(6,7)],8)
[2,3,4,8,6,7,1,5]=>[1,5,2,3,4,8,6,7]=>[1,5,2,3,4,8,6,7]=>([(1,7),(2,7),(3,7),(4,6),(5,6)],8)
[2,3,8,5,6,7,1,4]=>[1,4,2,3,8,5,6,7]=>[1,4,2,3,8,5,6,7]=>([(1,7),(2,7),(3,7),(4,6),(5,6)],8)
[2,8,4,5,6,7,1,3]=>[1,3,2,8,4,5,6,7]=>[1,3,2,8,4,5,6,7]=>([(1,2),(3,7),(4,7),(5,7),(6,7)],8)
[9,1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8,9]=>[1,2,3,4,5,6,7,8,9]=>([],9)
[8,1,2,3,4,5,6,9,7]=>[1,2,3,4,5,6,9,7,8]=>[1,2,3,4,5,6,9,7,8]=>([(6,8),(7,8)],9)
[7,1,2,3,4,5,8,9,6]=>[1,2,3,4,5,8,9,6,7]=>[1,2,3,4,5,9,6,8,7]=>([(5,8),(6,7),(6,8),(7,8)],9)
[8,1,2,3,9,4,5,6,7]=>[1,2,3,9,4,5,6,7,8]=>[1,2,3,9,4,5,6,7,8]=>([(3,8),(4,8),(5,8),(6,8),(7,8)],9)
[9,1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7,9]=>[1,8,2,3,4,5,6,7,9]=>([(2,8),(3,8),(4,8),(5,8),(6,8),(7,8)],9)
[9,1,8,5,6,7,2,3,4]=>[1,8,2,3,4,5,6,7,9]=>[1,8,2,3,4,5,6,7,9]=>([(2,8),(3,8),(4,8),(5,8),(6,8),(7,8)],9)
[8,9,1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7,8,9]=>[1,2,3,4,5,6,7,8,9]=>([],9)
[9,7,8,1,2,3,4,5,6]=>[1,2,3,4,5,6,7,8,9]=>[1,2,3,4,5,6,7,8,9]=>([],9)
[2,3,4,5,6,7,9,1,8]=>[1,8,2,3,4,5,6,7,9]=>[1,8,2,3,4,5,6,7,9]=>([(2,8),(3,8),(4,8),(5,8),(6,8),(7,8)],9)
[2,3,4,5,6,7,8,9,1]=>[1,2,3,4,5,6,7,8,9]=>[1,2,3,4,5,6,7,8,9]=>([],9)
[3,5,2,6,4,1,8,7]=>[1,8,2,6,3,5,4,7]=>[1,8,6,5,3,2,4,7]=>([(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,5,2,7,4,8,1,6]=>[1,6,2,7,3,5,4,8]=>[1,6,7,5,3,2,4,8]=>([(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[3,5,2,7,4,8,6,1]=>[1,2,7,3,5,4,8,6]=>[1,2,7,5,3,8,4,6]=>([(2,3),(2,7),(3,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,5,7,2,3,8,6,1]=>[1,2,3,8,4,5,7,6]=>[1,2,3,8,4,7,5,6]=>([(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,5,7,2,3,8,1,6]=>[1,6,2,3,8,4,5,7]=>[1,6,2,8,4,3,5,7]=>([(1,7),(2,6),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[4,5,6,2,3,1,8,7]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>([(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[4,5,6,2,1,3,8,7]=>[1,3,8,2,4,5,6,7]=>[1,8,3,2,4,5,6,7]=>([(1,7),(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[3,5,1,6,4,2,8,7]=>[1,6,2,8,3,5,4,7]=>[1,6,8,5,3,2,4,7]=>([(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[4,5,6,1,3,2,8,7]=>[1,3,2,8,4,5,6,7]=>[1,3,2,8,4,5,6,7]=>([(1,2),(3,7),(4,7),(5,7),(6,7)],8)
[4,5,6,3,1,2,8,7]=>[1,2,8,3,4,5,6,7]=>[1,2,8,3,4,5,6,7]=>([(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[4,5,7,3,2,8,1,6]=>[1,6,2,8,3,4,5,7]=>[1,6,8,3,4,2,5,7]=>([(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[4,6,7,3,8,2,5,1]=>[1,2,5,3,8,4,6,7]=>[1,2,5,8,3,4,6,7]=>([(2,7),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[4,6,7,3,8,2,1,5]=>[1,5,2,3,8,4,6,7]=>[1,5,2,8,3,4,6,7]=>([(1,7),(2,7),(3,6),(4,6),(4,7),(5,6),(5,7)],8)
[4,6,7,3,8,1,2,5]=>[1,2,5,3,8,4,6,7]=>[1,2,5,8,3,4,6,7]=>([(2,7),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[4,5,7,3,1,8,2,6]=>[1,8,2,6,3,4,5,7]=>[1,8,6,3,4,2,5,7]=>([(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,5,1,7,4,8,2,6]=>[1,7,2,6,3,5,4,8]=>[1,7,6,5,3,2,4,8]=>([(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,1,5,7,4,8,6,3]=>[1,5,7,2,3,4,8,6]=>[1,7,2,3,5,8,4,6]=>([(1,7),(2,7),(3,4),(3,7),(4,6),(5,6),(5,7),(6,7)],8)
[3,5,1,7,4,8,6,2]=>[1,7,2,3,5,4,8,6]=>[1,7,2,5,3,8,4,6]=>([(1,7),(2,3),(2,7),(3,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,5,7,1,3,8,6,2]=>[1,3,8,2,4,5,7,6]=>[1,8,3,2,4,7,5,6]=>([(1,7),(2,3),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,5,7,3,1,8,6,2]=>[1,8,2,3,4,5,7,6]=>[1,8,2,3,4,7,5,6]=>([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,6,7,3,8,1,5,2]=>[1,5,2,3,8,4,6,7]=>[1,5,2,8,3,4,6,7]=>([(1,7),(2,7),(3,6),(4,6),(4,7),(5,6),(5,7)],8)
[4,6,7,3,8,5,1,2]=>[1,2,3,8,4,6,7,5]=>[1,2,3,8,7,4,6,5]=>([(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,6,7,3,8,5,2,1]=>[1,2,3,8,4,6,7,5]=>[1,2,3,8,7,4,6,5]=>([(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,6,7,8,3,1,4,2]=>[1,4,2,3,5,6,7,8]=>[1,4,2,3,5,6,7,8]=>([(5,7),(6,7)],8)
[5,6,7,8,1,3,4,2]=>[1,3,4,2,5,6,7,8]=>[1,4,3,2,5,6,7,8]=>([(5,6),(5,7),(6,7)],8)
[4,6,7,1,8,3,5,2]=>[1,8,2,3,5,4,6,7]=>[1,8,2,5,3,4,6,7]=>([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,1,6,7,8,4,5,3]=>[1,6,7,8,2,3,4,5]=>[1,8,2,3,4,6,7,5]=>([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,1,6,7,8,4,3,5]=>[1,6,7,8,2,3,5,4]=>[1,8,2,5,3,6,7,4]=>([(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[3,6,1,7,8,4,2,5]=>[1,7,8,2,5,3,6,4]=>[1,8,5,6,2,3,7,4]=>([(1,6),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,6,7,1,8,3,2,5]=>[1,8,2,5,3,4,6,7]=>[1,8,5,3,2,4,6,7]=>([(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,6,7,8,1,3,2,4]=>[1,3,2,4,5,6,7,8]=>[1,3,2,4,5,6,7,8]=>([(6,7)],8)
[4,5,7,2,1,8,3,6]=>[1,8,2,3,6,4,5,7]=>[1,8,2,6,4,3,5,7]=>([(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,6,7,2,8,1,3,5]=>[1,3,5,2,8,4,6,7]=>[1,5,3,8,2,4,6,7]=>([(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7)],8)
[4,6,7,2,8,3,1,5]=>[1,5,2,8,3,4,6,7]=>[1,5,8,3,2,4,6,7]=>([(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[4,6,7,2,8,3,5,1]=>[1,2,8,3,5,4,6,7]=>[1,2,8,5,3,4,6,7]=>([(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,6,2,7,8,4,5,1]=>[1,2,7,8,3,6,4,5]=>[1,2,8,6,4,3,7,5]=>([(2,5),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,5,2,7,1,8,4,6]=>[1,8,2,7,3,5,4,6]=>[1,8,7,5,3,4,2,6]=>([(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,4,2,1,7,8,5,6]=>[1,7,8,2,3,4,5,6]=>[1,8,2,3,4,5,7,6]=>([(1,7),(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[3,4,1,2,7,8,6,5]=>[1,2,7,8,3,4,5,6]=>[1,2,8,3,4,5,7,6]=>([(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[3,5,2,7,1,8,6,4]=>[1,8,2,7,3,5,4,6]=>[1,8,7,5,3,4,2,6]=>([(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,6,2,7,8,5,1,4]=>[1,4,2,7,8,3,6,5]=>[1,4,8,2,6,3,7,5]=>([(1,2),(1,7),(2,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,6,2,7,8,5,4,1]=>[1,2,7,8,3,6,4,5]=>[1,2,8,6,4,3,7,5]=>([(2,5),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,6,7,2,8,5,3,1]=>[1,2,8,3,4,6,7,5]=>[1,2,8,3,7,4,6,5]=>([(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,6,7,2,8,5,1,3]=>[1,3,2,8,4,6,7,5]=>[1,3,2,8,7,4,6,5]=>([(1,2),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,6,7,2,8,1,5,3]=>[1,5,2,8,3,4,6,7]=>[1,5,8,3,2,4,6,7]=>([(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[4,5,7,2,1,8,6,3]=>[1,8,2,3,4,5,7,6]=>[1,8,2,3,4,7,5,6]=>([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,5,1,7,2,8,6,4]=>[1,7,2,8,3,5,4,6]=>[1,7,8,5,3,4,2,6]=>([(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[2,1,5,7,3,8,6,4]=>[1,5,7,2,3,8,4,6]=>[1,7,2,8,5,4,3,6]=>([(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[2,1,6,7,8,3,5,4]=>[1,6,7,8,2,3,5,4]=>[1,8,2,5,3,6,7,4]=>([(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[3,6,1,7,8,2,5,4]=>[1,7,8,2,5,3,6,4]=>[1,8,5,6,2,3,7,4]=>([(1,6),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,6,7,1,8,2,5,3]=>[1,8,2,5,3,4,6,7]=>[1,8,5,3,2,4,6,7]=>([(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,6,7,8,1,2,4,3]=>[1,2,4,3,5,6,7,8]=>[1,2,4,3,5,6,7,8]=>([(6,7)],8)
[5,6,7,8,2,1,4,3]=>[1,4,2,3,5,6,7,8]=>[1,4,2,3,5,6,7,8]=>([(5,7),(6,7)],8)
[5,6,7,8,2,4,1,3]=>[1,3,2,4,5,6,7,8]=>[1,3,2,4,5,6,7,8]=>([(6,7)],8)
[5,6,7,8,2,4,3,1]=>[1,2,4,3,5,6,7,8]=>[1,2,4,3,5,6,7,8]=>([(6,7)],8)
[5,6,7,8,1,4,2,3]=>[1,4,2,3,5,6,7,8]=>[1,4,2,3,5,6,7,8]=>([(5,7),(6,7)],8)
[2,1,6,7,8,5,3,4]=>[1,6,7,8,2,3,4,5]=>[1,8,2,3,4,6,7,5]=>([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,6,7,8,1,4,3,2]=>[1,4,2,3,5,6,7,8]=>[1,4,2,3,5,6,7,8]=>([(5,7),(6,7)],8)
[5,6,7,8,4,1,3,2]=>[1,3,2,4,5,6,7,8]=>[1,3,2,4,5,6,7,8]=>([(6,7)],8)
[5,6,7,8,4,3,2,1,10,9]=>[1,10,2,3,4,5,6,7,8,9]=>[1,10,2,3,4,5,6,7,8,9]=>([(1,9),(2,9),(3,9),(4,9),(5,9),(6,9),(7,9),(8,9)],10)
[4,5,6,3,2,1,9,10,8,7]=>[1,9,10,2,3,4,5,6,7,8]=>[1,10,2,3,4,5,6,7,9,8]=>([(1,9),(2,9),(3,9),(4,9),(5,9),(6,9),(7,8),(7,9),(8,9)],10)
[6,7,8,9,10,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[1,2,3,4,5,6,7,8,9,10]=>([],10)
[6,5,8,7,3,4,1,2]=>[1,2,3,4,5,8,6,7]=>[1,2,3,4,5,8,6,7]=>([(5,7),(6,7)],8)
[3,6,7,4,5,8,1,2]=>[1,2,3,6,7,4,5,8]=>[1,2,3,7,4,6,5,8]=>([(4,7),(5,6),(5,7),(6,7)],8)
[1,5,4,7,6,2,3,8]=>[1,5,2,3,8,4,7,6]=>[1,5,2,8,3,7,4,6]=>([(1,6),(2,5),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7)],8)
[2,5,4,7,6,1,8,3]=>[1,8,2,5,3,4,7,6]=>[1,8,5,3,2,7,4,6]=>([(1,5),(1,7),(2,3),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[3,5,4,7,6,8,1,2]=>[1,2,3,5,4,7,6,8]=>[1,2,3,5,4,7,6,8]=>([(4,7),(5,6)],8)
[4,5,3,7,8,6,1,2]=>[1,2,3,7,8,4,5,6]=>[1,2,3,8,4,5,7,6]=>([(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[5,4,3,8,7,6,1,2]=>[1,2,3,8,4,5,6,7]=>[1,2,3,8,4,5,6,7]=>([(3,7),(4,7),(5,7),(6,7)],8)
[6,4,8,3,7,5,1,2]=>[1,2,3,7,4,8,5,6]=>[1,2,3,7,8,5,4,6]=>([(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[6,3,8,4,5,7,1,2]=>[1,2,3,8,4,5,7,6]=>[1,2,3,8,4,7,5,6]=>([(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,3,4,8,6,7,1,2]=>[1,2,3,4,8,5,6,7]=>[1,2,3,4,8,5,6,7]=>([(4,7),(5,7),(6,7)],8)
[4,3,5,6,8,7,1,2]=>[1,2,3,5,6,8,4,7]=>[1,2,3,8,5,6,4,7]=>([(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,2,8,4,5,1,7,3]=>[1,7,2,8,3,4,5,6]=>[1,7,8,3,4,5,2,6]=>([(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[7,8,1,4,5,2,3,6]=>[1,4,5,2,3,6,7,8]=>[1,5,2,4,3,6,7,8]=>([(4,7),(5,6),(5,7),(6,7)],8)
[6,1,8,4,5,2,3,7]=>[1,8,2,3,7,4,5,6]=>[1,8,2,7,4,5,3,6]=>([(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,1,3,2,8,6,5,7]=>[1,3,2,8,4,5,7,6]=>[1,3,2,8,4,7,5,6]=>([(1,2),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,1,3,8,2,6,4,7]=>[1,3,8,2,6,4,7,5]=>[1,8,3,6,7,2,4,5]=>([(1,6),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,1,8,3,2,5,4,7]=>[1,8,2,5,3,4,7,6]=>[1,8,5,3,2,7,4,6]=>([(1,5),(1,7),(2,3),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[7,8,1,3,2,5,4,6]=>[1,3,2,5,4,6,7,8]=>[1,3,2,5,4,6,7,8]=>([(4,7),(5,6)],8)
[6,2,8,3,1,5,7,4]=>[1,5,7,2,8,3,4,6]=>[1,7,8,3,5,4,2,6]=>([(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[6,3,8,2,1,7,5,4]=>[1,7,2,3,8,4,5,6]=>[1,7,2,8,4,5,3,6]=>([(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[7,8,3,2,1,6,5,4]=>[1,6,2,3,4,5,7,8]=>[1,6,2,3,4,5,7,8]=>([(3,7),(4,7),(5,7),(6,7)],8)
[7,8,4,2,6,1,5,3]=>[1,5,2,6,3,4,7,8]=>[1,5,6,3,2,4,7,8]=>([(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[5,4,2,8,7,1,6,3]=>[1,6,2,8,3,4,5,7]=>[1,6,8,3,4,2,5,7]=>([(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[4,5,2,7,8,1,6,3]=>[1,6,2,7,8,3,4,5]=>[1,6,8,3,4,2,7,5]=>([(1,4),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(6,7)],8)
[2,5,3,7,1,6,8,4]=>[1,6,8,2,5,3,7,4]=>[1,8,5,7,2,6,3,4]=>([(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[1,5,3,7,2,6,4,8]=>[1,5,2,6,3,7,4,8]=>[1,5,6,7,2,3,4,8]=>([(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[1,6,7,3,2,5,4,8]=>[1,6,7,2,5,3,4,8]=>[1,7,5,3,2,6,4,8]=>([(2,5),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,6,7,3,1,5,8,4]=>[1,5,8,2,6,7,3,4]=>[1,8,7,3,5,2,6,4]=>([(1,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,6,7,2,1,8,5,4]=>[1,8,2,3,6,7,4,5]=>[1,8,2,7,4,3,6,5]=>([(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,8,5,6,2,1,4,3]=>[1,4,2,3,5,6,7,8]=>[1,4,2,3,5,6,7,8]=>([(5,7),(6,7)],8)
[6,5,8,7,1,2,3,4]=>[1,2,3,4,5,8,6,7]=>[1,2,3,4,5,8,6,7]=>([(5,7),(6,7)],8)
[5,4,1,8,7,2,3,6]=>[1,8,2,3,6,4,5,7]=>[1,8,2,6,4,3,5,7]=>([(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,4,8,1,7,2,3,5]=>[1,7,2,3,5,4,8,6]=>[1,7,2,5,3,8,4,6]=>([(1,7),(2,3),(2,7),(3,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,8,3,1,2,6,4,5]=>[1,2,6,3,4,5,7,8]=>[1,2,6,3,4,5,7,8]=>([(4,7),(5,7),(6,7)],8)
[5,3,1,8,2,7,4,6]=>[1,8,2,7,3,4,6,5]=>[1,8,7,3,6,4,2,5]=>([(1,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,3,1,2,8,7,5,6]=>[1,2,8,3,4,5,6,7]=>[1,2,8,3,4,5,6,7]=>([(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[4,2,1,3,8,5,7,6]=>[1,3,8,2,4,5,7,6]=>[1,8,3,2,4,7,5,6]=>([(1,7),(2,3),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,2,1,8,3,4,7,6]=>[1,8,2,3,4,7,5,6]=>[1,8,2,3,7,5,4,6]=>([(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,2,8,1,3,4,7,5]=>[1,3,4,7,2,8,5,6]=>[1,7,3,4,8,5,2,6]=>([(1,6),(1,7),(2,6),(2,7),(3,4),(3,6),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[7,8,2,1,3,4,6,5]=>[1,3,4,6,2,5,7,8]=>[1,6,3,4,2,5,7,8]=>([(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,3,1,2,6,5,8,7]=>[1,2,6,3,4,5,8,7]=>[1,2,6,3,4,5,8,7]=>([(2,3),(4,7),(5,7),(6,7)],8)
[5,3,1,6,2,4,8,7]=>[1,6,2,4,8,3,5,7]=>[1,6,8,2,3,4,5,7]=>([(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[6,3,1,5,2,4,8,7]=>[1,5,2,4,8,3,6,7]=>[1,5,8,2,4,3,6,7]=>([(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[7,3,1,5,2,8,4,6]=>[1,5,2,8,3,4,6,7]=>[1,5,8,3,2,4,6,7]=>([(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[8,4,5,1,2,7,3,6]=>[1,2,7,3,6,4,5,8]=>[1,2,7,6,4,3,5,8]=>([(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,4,5,1,2,8,3,6]=>[1,2,8,3,6,4,5,7]=>[1,2,8,6,4,3,5,7]=>([(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,4,5,1,2,3,8,7]=>[1,2,3,8,4,5,6,7]=>[1,2,3,8,4,5,6,7]=>([(3,7),(4,7),(5,7),(6,7)],8)
[5,4,6,1,2,3,8,7]=>[1,2,3,8,4,6,5,7]=>[1,2,3,8,6,4,5,7]=>([(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,1,6,5,3,4,8,7]=>[1,6,2,3,4,8,5,7]=>[1,6,2,3,8,4,5,7]=>([(1,7),(2,7),(3,6),(4,6),(4,7),(5,6),(5,7)],8)
[3,6,1,5,2,4,8,7]=>[1,5,2,4,8,3,6,7]=>[1,5,8,2,4,3,6,7]=>([(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[4,6,5,1,2,3,8,7]=>[1,2,3,8,4,6,5,7]=>[1,2,3,8,6,4,5,7]=>([(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,6,4,1,2,3,8,7]=>[1,2,3,8,4,5,6,7]=>[1,2,3,8,4,5,6,7]=>([(3,7),(4,7),(5,7),(6,7)],8)
[6,5,4,1,2,3,8,7]=>[1,2,3,8,4,5,6,7]=>[1,2,3,8,4,5,6,7]=>([(3,7),(4,7),(5,7),(6,7)],8)
[7,5,4,1,2,8,3,6]=>[1,2,8,3,6,4,5,7]=>[1,2,8,6,4,3,5,7]=>([(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,6,4,1,7,2,3,5]=>[1,7,2,3,5,4,6,8]=>[1,7,2,5,3,4,6,8]=>([(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,6,4,1,8,2,3,5]=>[1,8,2,3,5,4,6,7]=>[1,8,2,5,3,4,6,7]=>([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,7,4,1,8,2,3,5]=>[1,8,2,3,5,4,6,7]=>[1,8,2,5,3,4,6,7]=>([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,7,4,1,2,8,3,6]=>[1,2,8,3,6,4,5,7]=>[1,2,8,6,4,3,5,7]=>([(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,7,1,5,2,8,4,6]=>[1,5,2,8,3,7,4,6]=>[1,5,8,7,2,4,3,6]=>([(1,6),(1,7),(2,3),(2,6),(2,7),(3,4),(3,5),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,1,8,5,3,7,4,6]=>[1,8,2,3,7,4,6,5]=>[1,8,2,7,6,4,3,5]=>([(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,8,1,5,2,7,4,6]=>[1,5,2,7,3,8,4,6]=>[1,5,7,8,2,4,3,6]=>([(1,6),(1,7),(2,3),(2,4),(2,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[4,8,5,1,2,7,3,6]=>[1,2,7,3,6,4,8,5]=>[1,2,7,6,8,3,4,5]=>([(2,3),(2,4),(2,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,8,4,1,2,7,3,6]=>[1,2,7,3,6,4,5,8]=>[1,2,7,6,4,3,5,8]=>([(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,8,4,1,7,2,3,5]=>[1,7,2,3,5,4,6,8]=>[1,7,2,5,3,4,6,8]=>([(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,7,4,1,6,2,3,5]=>[1,6,2,3,5,4,7,8]=>[1,6,2,5,3,4,7,8]=>([(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,8,6,7,1,2,3,4]=>[1,2,3,4,5,8,6,7]=>[1,2,3,4,5,8,6,7]=>([(5,7),(6,7)],8)
[4,8,6,1,7,2,3,5]=>[1,7,2,3,5,4,8,6]=>[1,7,2,5,3,8,4,6]=>([(1,7),(2,3),(2,7),(3,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,8,1,6,7,2,4,5]=>[1,6,7,2,4,5,3,8]=>[1,7,5,2,4,6,3,8]=>([(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,1,8,6,7,3,4,5]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>([(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[2,1,7,6,8,3,4,5]=>[1,7,2,3,4,5,6,8]=>[1,7,2,3,4,5,6,8]=>([(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[3,7,1,6,8,2,4,5]=>[1,6,8,2,4,5,3,7]=>[1,8,5,2,4,6,3,7]=>([(1,7),(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,7,6,1,8,2,3,5]=>[1,8,2,3,5,4,7,6]=>[1,8,2,5,3,7,4,6]=>([(1,7),(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[5,7,6,8,1,2,3,4]=>[1,2,3,4,5,7,6,8]=>[1,2,3,4,5,7,6,8]=>([(6,7)],8)
[6,4,7,1,8,2,3,5]=>[1,8,2,3,5,4,7,6]=>[1,8,2,5,3,7,4,6]=>([(1,7),(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[7,4,6,1,8,2,3,5]=>[1,8,2,3,5,4,6,7]=>[1,8,2,5,3,4,6,7]=>([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,4,6,1,7,2,3,5]=>[1,7,2,3,5,4,6,8]=>[1,7,2,5,3,4,6,8]=>([(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,3,1,6,7,2,4,5]=>[1,6,7,2,4,5,3,8]=>[1,7,5,2,4,6,3,8]=>([(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,3,1,6,8,2,4,5]=>[1,6,8,2,4,5,3,7]=>[1,8,5,2,4,6,3,7]=>([(1,7),(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,3,1,2,7,8,5,6]=>[1,2,7,8,3,4,5,6]=>[1,2,8,3,4,5,7,6]=>([(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[2,1,4,3,8,7,5,6]=>[1,4,2,3,8,5,6,7]=>[1,4,2,3,8,5,6,7]=>([(1,7),(2,7),(3,7),(4,6),(5,6)],8)
[3,4,1,2,8,7,5,6]=>[1,2,8,3,4,5,6,7]=>[1,2,8,3,4,5,6,7]=>([(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[8,4,7,1,6,2,3,5]=>[1,6,2,3,5,4,7,8]=>[1,6,2,5,3,4,7,8]=>([(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,4,8,1,6,2,3,5]=>[1,6,2,3,5,4,8,7]=>[1,6,2,5,3,4,8,7]=>([(1,2),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,4,8,1,2,7,3,6]=>[1,2,7,3,6,4,8,5]=>[1,2,7,6,8,3,4,5]=>([(2,3),(2,4),(2,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,5,8,1,2,7,3,6]=>[1,2,7,3,6,4,5,8]=>[1,2,7,6,4,3,5,8]=>([(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,5,1,8,2,7,4,6]=>[1,8,2,7,3,5,4,6]=>[1,8,7,5,3,4,2,6]=>([(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,1,6,8,7,3,4,5]=>[1,6,8,2,3,4,5,7]=>[1,8,2,3,4,6,5,7]=>([(1,7),(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[4,6,8,1,7,2,3,5]=>[1,7,2,3,5,4,6,8]=>[1,7,2,5,3,4,6,8]=>([(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,6,8,7,1,2,3,4]=>[1,2,3,4,5,6,8,7]=>[1,2,3,4,5,6,8,7]=>([(6,7)],8)
[7,5,8,6,1,2,3,4]=>[1,2,3,4,5,8,6,7]=>[1,2,3,4,5,8,6,7]=>([(5,7),(6,7)],8)
[8,5,7,6,1,2,3,4]=>[1,2,3,4,5,7,6,8]=>[1,2,3,4,5,7,6,8]=>([(6,7)],8)
[5,7,8,6,1,2,3,4]=>[1,2,3,4,5,7,8,6]=>[1,2,3,4,5,8,7,6]=>([(5,6),(5,7),(6,7)],8)
[4,7,8,1,6,2,3,5]=>[1,6,2,3,5,4,7,8]=>[1,6,2,5,3,4,7,8]=>([(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,1,7,8,6,3,4,5]=>[1,7,8,2,3,4,5,6]=>[1,8,2,3,4,5,7,6]=>([(1,7),(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[2,1,8,7,6,3,4,5]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>([(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[3,8,1,7,6,2,4,5]=>[1,7,2,4,5,3,8,6]=>[1,7,5,2,4,8,3,6]=>([(1,2),(1,7),(2,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,8,7,1,6,2,3,5]=>[1,6,2,3,5,4,8,7]=>[1,6,2,5,3,4,8,7]=>([(1,2),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,8,7,6,1,2,3,4]=>[1,2,3,4,5,8,6,7]=>[1,2,3,4,5,8,6,7]=>([(5,7),(6,7)],8)
[6,8,7,5,1,2,3,4]=>[1,2,3,4,5,6,8,7]=>[1,2,3,4,5,6,8,7]=>([(6,7)],8)
[6,4,7,3,8,5,1,2]=>[1,2,3,8,4,7,5,6]=>[1,2,3,8,7,5,4,6]=>([(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,4,7,3,5,8,1,2]=>[1,2,3,5,8,4,7,6]=>[1,2,3,8,5,7,4,6]=>([(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[6,4,7,2,5,1,8,3]=>[1,8,2,5,3,4,7,6]=>[1,8,5,3,2,7,4,6]=>([(1,5),(1,7),(2,3),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[5,4,2,7,6,1,8,3]=>[1,8,2,7,3,4,5,6]=>[1,8,7,3,4,5,2,6]=>([(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,4,3,7,6,8,1,2]=>[1,2,3,7,4,5,6,8]=>[1,2,3,7,4,5,6,8]=>([(4,7),(5,7),(6,7)],8)
[5,4,3,7,8,6,1,2]=>[1,2,3,7,8,4,5,6]=>[1,2,3,8,4,5,7,6]=>([(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[6,4,8,3,5,7,1,2]=>[1,2,3,5,7,4,8,6]=>[1,2,3,7,5,8,4,6]=>([(3,6),(3,7),(4,5),(4,7),(5,6),(6,7)],8)
[5,4,3,8,6,7,1,2]=>[1,2,3,8,4,5,6,7]=>[1,2,3,8,4,5,6,7]=>([(3,7),(4,7),(5,7),(6,7)],8)
[5,4,3,6,8,7,1,2]=>[1,2,3,6,8,4,5,7]=>[1,2,3,8,4,6,5,7]=>([(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[5,3,2,6,1,7,4,8]=>[1,7,2,6,3,4,8,5]=>[1,7,6,3,8,2,4,5]=>([(1,3),(1,6),(1,7),(2,3),(2,6),(2,7),(3,5),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,3,2,6,1,8,7,4]=>[1,8,2,6,3,4,5,7]=>[1,8,6,3,4,2,5,7]=>([(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,4,2,8,6,1,7,3]=>[1,7,2,8,3,4,5,6]=>[1,7,8,3,4,5,2,6]=>([(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[6,4,8,2,5,1,7,3]=>[1,7,2,5,3,4,8,6]=>[1,7,5,3,2,8,4,6]=>([(1,2),(1,5),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,8,4,2,5,1,6,3]=>[1,6,2,5,3,4,7,8]=>[1,6,5,3,2,4,7,8]=>([(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,8,4,2,5,1,3,6]=>[1,3,6,2,5,4,7,8]=>[1,6,3,5,2,4,7,8]=>([(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[5,4,2,8,6,1,3,7]=>[1,3,7,2,8,4,5,6]=>[1,7,3,8,4,5,2,6]=>([(1,6),(1,7),(2,5),(2,6),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[5,3,2,6,1,8,4,7]=>[1,8,2,6,3,4,7,5]=>[1,8,6,3,7,2,4,5]=>([(1,4),(1,6),(1,7),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[4,3,2,1,6,8,5,7]=>[1,6,8,2,3,4,5,7]=>[1,8,2,3,4,6,5,7]=>([(1,7),(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[4,3,2,1,8,6,5,7]=>[1,8,2,3,4,5,7,6]=>[1,8,2,3,4,7,5,6]=>([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,3,2,8,1,6,4,7]=>[1,6,2,8,3,4,7,5]=>[1,6,8,3,7,2,4,5]=>([(1,4),(1,5),(1,7),(2,4),(2,5),(2,7),(3,4),(3,6),(3,7),(4,6),(5,6),(5,7),(6,7)],8)
[6,3,8,2,1,5,4,7]=>[1,5,2,3,8,4,7,6]=>[1,5,2,8,3,7,4,6]=>([(1,6),(2,5),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7)],8)
[7,8,3,2,1,5,4,6]=>[1,5,2,3,4,6,7,8]=>[1,5,2,3,4,6,7,8]=>([(4,7),(5,7),(6,7)],8)
[6,3,8,2,1,5,7,4]=>[1,5,7,2,3,8,4,6]=>[1,7,2,8,5,4,3,6]=>([(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[5,4,2,7,8,1,6,3]=>[1,6,2,7,8,3,4,5]=>[1,6,8,3,4,2,7,5]=>([(1,4),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(6,7)],8)
[5,3,2,7,1,8,6,4]=>[1,8,2,7,3,4,5,6]=>[1,8,7,3,4,5,2,6]=>([(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,3,7,2,1,5,4,8]=>[1,5,2,3,7,4,8,6]=>[1,5,2,7,3,8,4,6]=>([(1,7),(2,3),(2,5),(3,6),(4,5),(4,7),(5,6),(6,7)],8)
[6,3,7,2,1,8,5,4]=>[1,8,2,3,7,4,5,6]=>[1,8,2,7,4,5,3,6]=>([(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,4,7,2,8,1,5,3]=>[1,5,2,8,3,4,7,6]=>[1,5,8,3,2,7,4,6]=>([(1,6),(1,7),(2,3),(2,4),(2,5),(3,4),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[6,5,7,8,2,1,4,3]=>[1,4,2,3,5,7,8,6]=>[1,4,2,3,5,8,7,6]=>([(2,7),(3,7),(4,5),(4,6),(5,6)],8)
[6,5,8,7,2,1,3,4]=>[1,3,4,2,5,8,6,7]=>[1,4,3,2,5,8,6,7]=>([(2,7),(3,7),(4,5),(4,6),(5,6)],8)
[6,3,7,2,1,8,4,5]=>[1,8,2,3,7,4,5,6]=>[1,8,2,7,4,5,3,6]=>([(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,3,2,7,1,4,8,6]=>[1,4,8,2,7,3,5,6]=>[1,8,7,4,3,5,2,6]=>([(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,4,2,8,7,1,3,6]=>[1,3,6,2,8,4,5,7]=>[1,6,3,8,4,2,5,7]=>([(1,7),(2,5),(2,6),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[7,8,4,2,6,1,3,5]=>[1,3,5,2,6,4,7,8]=>[1,5,3,6,2,4,7,8]=>([(3,6),(3,7),(4,5),(4,7),(5,6),(6,7)],8)
[7,8,3,2,1,6,4,5]=>[1,6,2,3,4,5,7,8]=>[1,6,2,3,4,5,7,8]=>([(3,7),(4,7),(5,7),(6,7)],8)
[6,3,8,2,1,7,4,5]=>[1,7,2,3,8,4,5,6]=>[1,7,2,8,4,5,3,6]=>([(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[4,3,2,1,8,7,5,6]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>([(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[4,3,2,1,7,5,8,6]=>[1,7,2,3,4,5,8,6]=>[1,7,2,3,4,8,5,6]=>([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[4,3,2,1,7,5,6,8]=>[1,7,2,3,4,5,6,8]=>[1,7,2,3,4,5,6,8]=>([(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[4,3,2,1,8,5,7,6]=>[1,8,2,3,4,5,7,6]=>[1,8,2,3,4,7,5,6]=>([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,3,2,8,1,4,7,6]=>[1,4,7,2,8,3,5,6]=>[1,7,8,4,3,5,2,6]=>([(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[7,8,3,2,1,4,6,5]=>[1,4,6,2,3,5,7,8]=>[1,6,2,4,3,5,7,8]=>([(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[6,3,8,2,1,4,5,7]=>[1,4,5,7,2,3,8,6]=>[1,7,2,4,5,8,3,6]=>([(1,7),(2,3),(2,7),(3,6),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,3,2,1,8,5,6,7]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>([(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[4,3,2,1,5,8,6,7]=>[1,5,8,2,3,4,6,7]=>[1,8,2,3,5,4,6,7]=>([(1,7),(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[7,8,5,6,1,2,4,3]=>[1,2,4,3,5,6,7,8]=>[1,2,4,3,5,6,7,8]=>([(6,7)],8)
[7,8,4,1,6,2,5,3]=>[1,6,2,5,3,4,7,8]=>[1,6,5,3,2,4,7,8]=>([(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,1,8,4,7,2,5,3]=>[1,8,2,5,3,4,7,6]=>[1,8,5,3,2,7,4,6]=>([(1,5),(1,7),(2,3),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[6,1,8,3,2,7,5,4]=>[1,8,2,7,3,4,5,6]=>[1,8,7,3,4,5,2,6]=>([(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,8,1,3,2,6,5,4]=>[1,3,2,6,4,5,7,8]=>[1,3,2,6,4,5,7,8]=>([(3,4),(5,7),(6,7)],8)
[7,8,3,1,2,6,5,4]=>[1,2,6,3,4,5,7,8]=>[1,2,6,3,4,5,7,8]=>([(4,7),(5,7),(6,7)],8)
[7,8,3,4,6,5,1,2]=>[1,2,3,4,6,5,7,8]=>[1,2,3,4,6,5,7,8]=>([(6,7)],8)
[7,8,2,3,1,6,5,4]=>[1,6,2,3,4,5,7,8]=>[1,6,2,3,4,5,7,8]=>([(3,7),(4,7),(5,7),(6,7)],8)
[7,8,2,1,3,6,5,4]=>[1,3,6,2,4,5,7,8]=>[1,6,3,2,4,5,7,8]=>([(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[7,8,1,2,3,6,5,4]=>[1,2,3,6,4,5,7,8]=>[1,2,3,6,4,5,7,8]=>([(5,7),(6,7)],8)
[6,1,8,2,3,7,5,4]=>[1,8,2,3,7,4,5,6]=>[1,8,2,7,4,5,3,6]=>([(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,6,8,2,3,7,5,4]=>[1,6,8,2,3,7,4,5]=>[1,8,2,7,4,6,3,5]=>([(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,5,2,8,3,7,6,4]=>[1,5,2,8,3,7,4,6]=>[1,5,8,7,2,4,3,6]=>([(1,6),(1,7),(2,3),(2,6),(2,7),(3,4),(3,5),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,1,2,8,3,7,6,4]=>[1,2,8,3,7,4,5,6]=>[1,2,8,7,4,5,3,6]=>([(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,2,1,8,3,7,6,4]=>[1,8,2,3,7,4,5,6]=>[1,8,2,7,4,5,3,6]=>([(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,2,8,1,3,7,5,4]=>[1,3,7,2,8,4,5,6]=>[1,7,3,8,4,5,2,6]=>([(1,6),(1,7),(2,5),(2,6),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[6,2,8,3,1,7,5,4]=>[1,7,2,8,3,4,5,6]=>[1,7,8,3,4,5,2,6]=>([(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[6,2,8,4,7,1,5,3]=>[1,5,2,8,3,4,7,6]=>[1,5,8,3,2,7,4,6]=>([(1,6),(1,7),(2,3),(2,4),(2,5),(3,4),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[6,3,8,4,7,5,1,2]=>[1,2,3,8,4,7,5,6]=>[1,2,3,8,7,5,4,6]=>([(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,6,8,4,7,5,1,2]=>[1,2,3,6,8,4,7,5]=>[1,2,3,8,7,6,4,5]=>([(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,5,1,8,3,7,6,4]=>[1,8,2,5,3,7,4,6]=>[1,8,5,7,2,4,3,6]=>([(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[1,2,5,8,3,7,6,4]=>[1,2,5,8,3,7,4,6]=>[1,2,8,7,5,4,3,6]=>([(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,4,1,3,8,7,6,5]=>[1,3,8,2,4,5,6,7]=>[1,8,3,2,4,5,6,7]=>([(1,7),(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[2,5,3,8,1,7,6,4]=>[1,7,2,5,3,8,4,6]=>[1,7,5,8,2,4,3,6]=>([(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7)],8)
[2,5,4,8,7,1,6,3]=>[1,6,2,5,3,4,8,7]=>[1,6,5,3,2,4,8,7]=>([(1,2),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,5,4,8,7,6,1,2]=>[1,2,3,5,4,8,6,7]=>[1,2,3,5,4,8,6,7]=>([(3,4),(5,7),(6,7)],8)
[5,3,4,8,7,6,1,2]=>[1,2,3,4,8,5,6,7]=>[1,2,3,4,8,5,6,7]=>([(4,7),(5,7),(6,7)],8)
[5,2,4,8,7,1,6,3]=>[1,6,2,4,8,3,5,7]=>[1,6,8,2,3,4,5,7]=>([(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[5,2,3,8,1,7,6,4]=>[1,7,2,3,8,4,5,6]=>[1,7,2,8,4,5,3,6]=>([(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[4,2,1,3,8,7,6,5]=>[1,3,8,2,4,5,6,7]=>[1,8,3,2,4,5,6,7]=>([(1,7),(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[4,1,2,3,8,7,6,5]=>[1,2,3,8,4,5,6,7]=>[1,2,3,8,4,5,6,7]=>([(3,7),(4,7),(5,7),(6,7)],8)
[1,4,2,3,8,7,6,5]=>[1,4,2,3,8,5,6,7]=>[1,4,2,3,8,5,6,7]=>([(1,7),(2,7),(3,7),(4,6),(5,6)],8)
[4,1,3,2,8,7,6,5]=>[1,3,2,8,4,5,6,7]=>[1,3,2,8,4,5,6,7]=>([(1,2),(3,7),(4,7),(5,7),(6,7)],8)
[4,3,1,2,8,7,6,5]=>[1,2,8,3,4,5,6,7]=>[1,2,8,3,4,5,6,7]=>([(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[6,3,8,1,2,7,5,4]=>[1,2,7,3,8,4,5,6]=>[1,2,7,8,4,5,3,6]=>([(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[5,3,1,8,2,7,6,4]=>[1,8,2,7,3,4,5,6]=>[1,8,7,3,4,5,2,6]=>([(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,5,3,8,2,7,6,4]=>[1,5,2,7,3,8,4,6]=>[1,5,7,8,2,4,3,6]=>([(1,6),(1,7),(2,3),(2,4),(2,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[5,4,1,8,7,2,6,3]=>[1,8,2,6,3,4,5,7]=>[1,8,6,3,4,2,5,7]=>([(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,4,8,1,7,2,5,3]=>[1,7,2,5,3,4,8,6]=>[1,7,5,3,2,8,4,6]=>([(1,2),(1,5),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,5,8,7,1,2,4,3]=>[1,2,4,3,5,8,6,7]=>[1,2,4,3,5,8,6,7]=>([(3,4),(5,7),(6,7)],8)
[5,6,8,7,3,4,1,2]=>[1,2,3,4,5,6,8,7]=>[1,2,3,4,5,6,8,7]=>([(6,7)],8)
[5,6,8,7,2,1,4,3]=>[1,4,2,3,5,6,8,7]=>[1,4,2,3,5,6,8,7]=>([(3,4),(5,7),(6,7)],8)
[4,5,1,8,7,2,6,3]=>[1,8,2,6,3,4,5,7]=>[1,8,6,3,4,2,5,7]=>([(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,4,5,8,7,2,6,3]=>[1,4,5,8,2,6,3,7]=>[1,8,6,4,5,2,3,7]=>([(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,1,5,8,2,7,6,4]=>[1,5,8,2,7,3,4,6]=>[1,8,7,3,5,4,2,6]=>([(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,6,8,1,2,7,5,4]=>[1,2,7,3,6,8,4,5]=>[1,2,7,8,4,3,6,5]=>([(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[4,6,8,2,7,1,5,3]=>[1,5,2,7,3,4,6,8]=>[1,5,7,3,2,4,6,8]=>([(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[4,6,8,3,7,5,1,2]=>[1,2,3,7,4,6,8,5]=>[1,2,3,7,8,4,6,5]=>([(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[4,5,3,8,7,6,1,2]=>[1,2,3,8,4,5,6,7]=>[1,2,3,8,4,5,6,7]=>([(3,7),(4,7),(5,7),(6,7)],8)
[4,5,2,8,7,1,6,3]=>[1,6,2,8,3,4,5,7]=>[1,6,8,3,4,2,5,7]=>([(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[3,5,2,8,1,7,6,4]=>[1,7,2,8,3,5,4,6]=>[1,7,8,5,3,4,2,6]=>([(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[3,1,4,2,8,7,6,5]=>[1,4,2,8,3,5,6,7]=>[1,4,8,2,3,5,6,7]=>([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[3,1,2,4,8,7,6,5]=>[1,2,4,8,3,5,6,7]=>[1,2,8,4,3,5,6,7]=>([(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[4,2,5,8,7,1,6,3]=>[1,6,2,5,8,3,4,7]=>[1,6,8,3,2,5,4,7]=>([(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[4,3,5,8,7,6,1,2]=>[1,2,3,5,8,4,6,7]=>[1,2,3,8,5,4,6,7]=>([(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[3,4,5,8,7,6,1,2]=>[1,2,3,4,5,8,6,7]=>[1,2,3,4,5,8,6,7]=>([(5,7),(6,7)],8)
[2,3,5,8,1,7,6,4]=>[1,7,2,3,5,8,4,6]=>[1,7,2,8,3,4,5,6]=>([(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[5,1,3,2,6,4,8,7]=>[1,3,2,6,4,8,5,7]=>[1,3,2,6,8,4,5,7]=>([(1,2),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[6,1,3,2,5,4,8,7]=>[1,3,2,5,4,8,6,7]=>[1,3,2,5,4,8,6,7]=>([(1,4),(2,3),(5,7),(6,7)],8)
[7,1,3,2,5,4,8,6]=>[1,3,2,5,4,8,6,7]=>[1,3,2,5,4,8,6,7]=>([(1,4),(2,3),(5,7),(6,7)],8)
[8,1,3,2,5,4,7,6]=>[1,3,2,5,4,7,6,8]=>[1,3,2,5,4,7,6,8]=>([(2,7),(3,6),(4,5)],8)
[8,1,4,2,5,3,7,6]=>[1,4,2,5,3,7,6,8]=>[1,4,5,2,3,7,6,8]=>([(2,3),(4,6),(4,7),(5,6),(5,7)],8)
[7,1,4,2,5,3,8,6]=>[1,4,2,5,3,8,6,7]=>[1,4,5,2,3,8,6,7]=>([(1,7),(2,7),(3,5),(3,6),(4,5),(4,6)],8)
[6,1,4,2,5,3,8,7]=>[1,4,2,5,3,8,6,7]=>[1,4,5,2,3,8,6,7]=>([(1,7),(2,7),(3,5),(3,6),(4,5),(4,6)],8)
[5,1,4,2,6,3,8,7]=>[1,4,2,6,3,8,5,7]=>[1,4,6,2,8,3,5,7]=>([(1,7),(2,3),(2,5),(3,6),(4,5),(4,7),(5,6),(6,7)],8)
[2,1,6,3,5,4,8,7]=>[1,6,2,3,5,4,8,7]=>[1,6,2,5,3,4,8,7]=>([(1,2),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,1,6,2,5,4,8,7]=>[1,6,2,5,3,4,8,7]=>[1,6,5,3,2,4,8,7]=>([(1,2),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,1,6,2,5,3,8,7]=>[1,6,2,5,3,8,4,7]=>[1,6,5,8,2,3,4,7]=>([(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6)],8)
[6,2,5,1,4,3,8,7]=>[1,4,2,5,3,8,6,7]=>[1,4,5,2,3,8,6,7]=>([(1,7),(2,7),(3,5),(3,6),(4,5),(4,6)],8)
[5,2,6,1,4,3,8,7]=>[1,4,2,6,3,8,5,7]=>[1,4,6,2,8,3,5,7]=>([(1,7),(2,3),(2,5),(3,6),(4,5),(4,7),(5,6),(6,7)],8)
[5,2,7,1,4,3,8,6]=>[1,4,2,7,3,8,5,6]=>[1,4,7,2,8,5,3,6]=>([(1,2),(1,7),(2,6),(3,4),(3,6),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[5,2,8,1,4,3,7,6]=>[1,4,2,8,3,7,5,6]=>[1,4,8,2,7,5,3,6]=>([(1,2),(1,7),(2,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,2,8,1,4,3,7,5]=>[1,4,2,8,3,7,5,6]=>[1,4,8,2,7,5,3,6]=>([(1,2),(1,7),(2,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,2,7,1,4,3,8,5]=>[1,4,2,7,3,8,5,6]=>[1,4,7,2,8,5,3,6]=>([(1,2),(1,7),(2,6),(3,4),(3,6),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[7,2,6,1,4,3,8,5]=>[1,4,2,6,3,8,5,7]=>[1,4,6,2,8,3,5,7]=>([(1,7),(2,3),(2,5),(3,6),(4,5),(4,7),(5,6),(6,7)],8)
[7,2,5,1,4,3,8,6]=>[1,4,2,5,3,8,6,7]=>[1,4,5,2,3,8,6,7]=>([(1,7),(2,7),(3,5),(3,6),(4,5),(4,6)],8)
[4,1,7,2,5,3,8,6]=>[1,7,2,5,3,8,4,6]=>[1,7,5,8,2,4,3,6]=>([(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7)],8)
[3,1,7,2,5,4,8,6]=>[1,7,2,5,3,4,8,6]=>[1,7,5,3,2,8,4,6]=>([(1,2),(1,5),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,1,7,3,5,4,8,6]=>[1,7,2,3,5,4,8,6]=>[1,7,2,5,3,8,4,6]=>([(1,7),(2,3),(2,7),(3,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,1,8,3,5,4,7,6]=>[1,8,2,3,5,4,7,6]=>[1,8,2,5,3,7,4,6]=>([(1,7),(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[3,1,8,2,5,4,7,6]=>[1,8,2,5,3,4,7,6]=>[1,8,5,3,2,7,4,6]=>([(1,5),(1,7),(2,3),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[4,1,8,2,5,3,7,6]=>[1,8,2,5,3,7,4,6]=>[1,8,5,7,2,4,3,6]=>([(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[8,2,5,1,4,3,7,6]=>[1,4,2,5,3,7,6,8]=>[1,4,5,2,3,7,6,8]=>([(2,3),(4,6),(4,7),(5,6),(5,7)],8)
[8,2,6,1,4,3,7,5]=>[1,4,2,6,3,7,5,8]=>[1,4,6,2,7,3,5,8]=>([(2,5),(2,7),(3,4),(3,7),(4,6),(5,6),(6,7)],8)
[7,1,4,3,8,2,6,5]=>[1,4,2,6,3,8,5,7]=>[1,4,6,2,8,3,5,7]=>([(1,7),(2,3),(2,5),(3,6),(4,5),(4,7),(5,6),(6,7)],8)
[8,1,4,3,7,2,6,5]=>[1,4,2,6,3,7,5,8]=>[1,4,6,2,7,3,5,8]=>([(2,5),(2,7),(3,4),(3,7),(4,6),(5,6),(6,7)],8)
[8,1,5,3,7,2,6,4]=>[1,5,2,6,3,7,4,8]=>[1,5,6,7,2,3,4,8]=>([(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[7,1,5,3,8,2,6,4]=>[1,5,2,6,3,8,4,7]=>[1,5,6,8,2,3,4,7]=>([(1,7),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8)
[8,2,6,1,5,3,7,4]=>[1,5,2,6,3,7,4,8]=>[1,5,6,7,2,3,4,8]=>([(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[5,1,8,2,6,3,7,4]=>[1,8,2,6,3,7,4,5]=>[1,8,6,7,4,2,3,5]=>([(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[4,1,8,2,6,3,7,5]=>[1,8,2,6,3,7,4,5]=>[1,8,6,7,4,2,3,5]=>([(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[3,1,8,2,6,4,7,5]=>[1,8,2,6,3,4,7,5]=>[1,8,6,3,7,2,4,5]=>([(1,4),(1,6),(1,7),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[2,1,8,3,6,4,7,5]=>[1,8,2,3,6,4,7,5]=>[1,8,2,6,7,3,4,5]=>([(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[4,1,7,2,6,3,8,5]=>[1,7,2,6,3,8,4,5]=>[1,7,6,8,4,2,3,5]=>([(1,4),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(5,6),(5,7),(6,7)],8)
[5,1,7,2,6,3,8,4]=>[1,7,2,6,3,8,4,5]=>[1,7,6,8,4,2,3,5]=>([(1,4),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(5,6),(5,7),(6,7)],8)
[7,2,6,1,5,3,8,4]=>[1,5,2,6,3,8,4,7]=>[1,5,6,8,2,3,4,7]=>([(1,7),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8)
[6,2,7,1,5,3,8,4]=>[1,5,2,7,3,8,4,6]=>[1,5,7,8,2,4,3,6]=>([(1,6),(1,7),(2,3),(2,4),(2,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[6,2,8,1,5,3,7,4]=>[1,5,2,8,3,7,4,6]=>[1,5,8,7,2,4,3,6]=>([(1,6),(1,7),(2,3),(2,6),(2,7),(3,4),(3,5),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,1,5,2,6,3,7,4]=>[1,5,2,6,3,7,4,8]=>[1,5,6,7,2,3,4,8]=>([(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[6,1,5,2,7,3,8,4]=>[1,5,2,7,3,8,4,6]=>[1,5,7,8,2,4,3,6]=>([(1,6),(1,7),(2,3),(2,4),(2,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[6,1,4,2,7,3,8,5]=>[1,4,2,7,3,8,5,6]=>[1,4,7,2,8,5,3,6]=>([(1,2),(1,7),(2,6),(3,4),(3,6),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[8,1,4,2,6,3,7,5]=>[1,4,2,6,3,7,5,8]=>[1,4,6,2,7,3,5,8]=>([(2,5),(2,7),(3,4),(3,7),(4,6),(5,6),(6,7)],8)
[8,1,3,2,6,4,7,5]=>[1,3,2,6,4,7,5,8]=>[1,3,2,6,7,4,5,8]=>([(2,3),(4,6),(4,7),(5,6),(5,7)],8)
[7,1,3,2,6,4,8,5]=>[1,3,2,6,4,8,5,7]=>[1,3,2,6,8,4,5,7]=>([(1,2),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[6,1,3,2,7,4,8,5]=>[1,3,2,7,4,8,5,6]=>[1,3,2,7,8,5,4,6]=>([(1,2),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[5,1,3,2,7,4,8,6]=>[1,3,2,7,4,8,5,6]=>[1,3,2,7,8,5,4,6]=>([(1,2),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[4,1,3,2,7,5,8,6]=>[1,3,2,7,4,5,8,6]=>[1,3,2,7,4,8,5,6]=>([(1,2),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[2,1,4,3,8,5,7,6]=>[1,4,2,3,8,5,7,6]=>[1,4,2,3,8,7,5,6]=>([(1,5),(2,5),(3,6),(3,7),(4,6),(4,7),(6,7)],8)
[4,1,3,2,8,5,7,6]=>[1,3,2,8,4,5,7,6]=>[1,3,2,8,4,7,5,6]=>([(1,2),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,1,3,2,8,4,7,6]=>[1,3,2,8,4,7,5,6]=>[1,3,2,8,7,5,4,6]=>([(1,2),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,1,3,2,8,4,7,5]=>[1,3,2,8,4,7,5,6]=>[1,3,2,8,7,5,4,6]=>([(1,2),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,4,7,1,3,2,6,5]=>[1,3,2,6,4,7,5,8]=>[1,3,2,6,7,4,5,8]=>([(2,3),(4,6),(4,7),(5,6),(5,7)],8)
[7,4,8,1,3,2,6,5]=>[1,3,2,6,4,8,5,7]=>[1,3,2,6,8,4,5,7]=>([(1,2),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[7,3,8,1,4,2,6,5]=>[1,4,2,6,3,8,5,7]=>[1,4,6,2,8,3,5,7]=>([(1,7),(2,3),(2,5),(3,6),(4,5),(4,7),(5,6),(6,7)],8)
[8,3,7,1,4,2,6,5]=>[1,4,2,6,3,7,5,8]=>[1,4,6,2,7,3,5,8]=>([(2,5),(2,7),(3,4),(3,7),(4,6),(5,6),(6,7)],8)
[6,1,4,2,8,3,7,5]=>[1,4,2,8,3,7,5,6]=>[1,4,8,2,7,5,3,6]=>([(1,2),(1,7),(2,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,1,4,2,8,3,7,6]=>[1,4,2,8,3,7,5,6]=>[1,4,8,2,7,5,3,6]=>([(1,2),(1,7),(2,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,1,5,2,8,3,7,6]=>[1,5,2,8,3,7,4,6]=>[1,5,8,7,2,4,3,6]=>([(1,6),(1,7),(2,3),(2,6),(2,7),(3,4),(3,5),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,1,5,2,8,4,7,6]=>[1,5,2,8,3,4,7,6]=>[1,5,8,3,2,7,4,6]=>([(1,6),(1,7),(2,3),(2,4),(2,5),(3,4),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[2,1,5,3,8,4,7,6]=>[1,5,2,3,8,4,7,6]=>[1,5,2,8,3,7,4,6]=>([(1,6),(2,5),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7)],8)
[2,1,6,3,8,4,7,5]=>[1,6,2,3,8,4,7,5]=>[1,6,2,8,7,3,4,5]=>([(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6)],8)
[3,1,6,2,8,4,7,5]=>[1,6,2,8,3,4,7,5]=>[1,6,8,3,7,2,4,5]=>([(1,4),(1,5),(1,7),(2,4),(2,5),(2,7),(3,4),(3,6),(3,7),(4,6),(5,6),(5,7),(6,7)],8)
[4,1,6,2,8,3,7,5]=>[1,6,2,8,3,7,4,5]=>[1,6,8,7,4,2,3,5]=>([(1,4),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(5,6),(5,7),(6,7)],8)
[5,1,6,2,8,3,7,4]=>[1,6,2,8,3,7,4,5]=>[1,6,8,7,4,2,3,5]=>([(1,4),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(5,6),(5,7),(6,7)],8)
[6,1,5,2,8,3,7,4]=>[1,5,2,8,3,7,4,6]=>[1,5,8,7,2,4,3,6]=>([(1,6),(1,7),(2,3),(2,6),(2,7),(3,4),(3,5),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,3,7,1,5,2,6,4]=>[1,5,2,6,3,7,4,8]=>[1,5,6,7,2,3,4,8]=>([(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[7,3,8,1,5,2,6,4]=>[1,5,2,6,3,8,4,7]=>[1,5,6,8,2,3,4,7]=>([(1,7),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8)
[6,2,7,3,8,1,5,4]=>[1,5,2,7,3,8,4,6]=>[1,5,7,8,2,4,3,6]=>([(1,6),(1,7),(2,3),(2,4),(2,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[6,2,8,3,7,1,5,4]=>[1,5,2,8,3,7,4,6]=>[1,5,8,7,2,4,3,6]=>([(1,6),(1,7),(2,3),(2,6),(2,7),(3,4),(3,5),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,3,7,2,6,1,5,4]=>[1,5,2,6,3,7,4,8]=>[1,5,6,7,2,3,4,8]=>([(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[5,1,8,3,7,2,6,4]=>[1,8,2,6,3,7,4,5]=>[1,8,6,7,4,2,3,5]=>([(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[4,1,8,3,7,2,6,5]=>[1,8,2,6,3,7,4,5]=>[1,8,6,7,4,2,3,5]=>([(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[3,1,8,4,7,2,6,5]=>[1,8,2,6,3,4,7,5]=>[1,8,6,3,7,2,4,5]=>([(1,4),(1,6),(1,7),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[2,1,8,4,7,3,6,5]=>[1,8,2,3,6,4,7,5]=>[1,8,2,6,7,3,4,5]=>([(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[3,1,7,4,8,2,6,5]=>[1,7,2,6,3,4,8,5]=>[1,7,6,3,8,2,4,5]=>([(1,3),(1,6),(1,7),(2,3),(2,6),(2,7),(3,5),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,1,7,3,8,2,6,5]=>[1,7,2,6,3,8,4,5]=>[1,7,6,8,4,2,3,5]=>([(1,4),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(5,6),(5,7),(6,7)],8)
[5,1,7,3,8,2,6,4]=>[1,7,2,6,3,8,4,5]=>[1,7,6,8,4,2,3,5]=>([(1,4),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(5,6),(5,7),(6,7)],8)
[7,3,8,2,6,1,5,4]=>[1,5,2,6,3,8,4,7]=>[1,5,6,8,2,3,4,7]=>([(1,7),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8)
[8,2,6,3,7,1,5,4]=>[1,5,2,6,3,7,4,8]=>[1,5,6,7,2,3,4,8]=>([(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[7,2,6,3,8,1,5,4]=>[1,5,2,6,3,8,4,7]=>[1,5,6,8,2,3,4,7]=>([(1,7),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8)
[5,3,6,2,8,1,4,7]=>[1,4,7,2,8,3,6,5]=>[1,7,8,4,6,3,2,5]=>([(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[5,7,3,8,2,4,1,6]=>[1,6,2,4,3,8,5,7]=>[1,6,4,2,8,3,5,7]=>([(1,6),(2,5),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7)],8)
[7,4,2,5,8,3,1,6]=>[1,6,2,5,8,3,4,7]=>[1,6,8,3,2,5,4,7]=>([(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[4,5,2,6,3,8,1,7]=>[1,7,2,6,3,8,4,5]=>[1,7,6,8,4,2,3,5]=>([(1,4),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(5,6),(5,7),(6,7)],8)
[4,5,2,1,6,8,3,7]=>[1,6,8,2,3,7,4,5]=>[1,8,2,7,4,6,3,5]=>([(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,6,2,8,1,3,4,7]=>[1,3,4,7,2,8,5,6]=>[1,7,3,4,8,5,2,6]=>([(1,6),(1,7),(2,6),(2,7),(3,4),(3,6),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[3,5,6,1,4,8,2,7]=>[1,4,8,2,7,3,5,6]=>[1,8,7,4,3,5,2,6]=>([(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,1,5,6,3,8,2,7]=>[1,5,6,2,7,3,8,4]=>[1,6,7,8,5,2,3,4]=>([(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,7),(5,7),(6,7)],8)
[4,5,1,6,3,8,2,7]=>[1,6,2,7,3,8,4,5]=>[1,6,7,8,4,2,3,5]=>([(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,7),(5,7),(6,7)],8)
[4,5,6,3,2,8,1,7]=>[1,7,2,8,3,4,5,6]=>[1,7,8,3,4,5,2,6]=>([(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[7,4,5,3,8,2,1,6]=>[1,6,2,3,8,4,5,7]=>[1,6,2,8,4,3,5,7]=>([(1,7),(2,6),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[7,4,5,3,8,2,6,1]=>[1,2,6,3,8,4,5,7]=>[1,2,6,8,4,3,5,7]=>([(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[6,7,4,8,3,2,5,1]=>[1,2,5,3,4,8,6,7]=>[1,2,5,3,4,8,6,7]=>([(2,7),(3,7),(4,6),(5,6)],8)
[6,7,4,8,3,2,1,5]=>[1,5,2,3,4,8,6,7]=>[1,5,2,3,4,8,6,7]=>([(1,7),(2,7),(3,7),(4,6),(5,6)],8)
[6,7,4,1,8,3,2,5]=>[1,8,2,5,3,4,6,7]=>[1,8,5,3,2,4,6,7]=>([(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,4,5,3,1,8,2,6]=>[1,8,2,6,3,4,5,7]=>[1,8,6,3,4,2,5,7]=>([(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,3,7,8,1,4,2,6]=>[1,4,2,6,3,7,8,5]=>[1,4,6,2,8,3,7,5]=>([(1,4),(1,5),(2,3),(2,7),(3,6),(4,5),(4,6),(5,7),(6,7)],8)
[7,5,8,2,4,6,1,3]=>[1,3,2,4,6,5,8,7]=>[1,3,2,4,6,5,8,7]=>([(2,7),(3,6),(4,5)],8)
[7,3,5,8,1,4,6,2]=>[1,4,6,2,3,5,8,7]=>[1,6,2,4,3,5,8,7]=>([(1,2),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[7,4,1,5,8,3,6,2]=>[1,5,8,2,3,6,4,7]=>[1,8,2,6,5,3,4,7]=>([(1,7),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,7,4,3,8,1,5,2]=>[1,5,2,3,8,4,6,7]=>[1,5,2,8,3,4,6,7]=>([(1,7),(2,7),(3,6),(4,6),(4,7),(5,6),(5,7)],8)
[6,7,4,8,3,1,5,2]=>[1,5,2,3,4,8,6,7]=>[1,5,2,3,4,8,6,7]=>([(1,7),(2,7),(3,7),(4,6),(5,6)],8)
[6,7,4,8,3,5,2,1]=>[1,2,3,5,4,8,6,7]=>[1,2,3,5,4,8,6,7]=>([(3,4),(5,7),(6,7)],8)
[5,6,7,3,8,4,2,1]=>[1,2,3,8,4,5,6,7]=>[1,2,3,8,4,5,6,7]=>([(3,7),(4,7),(5,7),(6,7)],8)
[5,6,7,3,1,8,4,2]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>([(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[5,6,1,7,3,8,4,2]=>[1,7,2,3,8,4,5,6]=>[1,7,2,8,4,5,3,6]=>([(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[6,4,7,1,8,3,5,2]=>[1,8,2,3,5,4,7,6]=>[1,8,2,5,3,7,4,6]=>([(1,7),(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[6,7,8,3,1,4,5,2]=>[1,4,5,2,3,6,7,8]=>[1,5,2,4,3,6,7,8]=>([(4,7),(5,6),(5,7),(6,7)],8)
[6,7,2,8,4,5,1,3]=>[1,3,2,8,4,5,6,7]=>[1,3,2,8,4,5,6,7]=>([(1,2),(3,7),(4,7),(5,7),(6,7)],8)
[6,7,2,8,4,1,3,5]=>[1,3,5,2,8,4,6,7]=>[1,5,3,8,2,4,6,7]=>([(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7)],8)
[6,1,7,4,8,3,2,5]=>[1,7,2,5,3,4,8,6]=>[1,7,5,3,2,8,4,6]=>([(1,2),(1,5),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,6,1,7,3,2,8,4]=>[1,7,2,8,3,4,5,6]=>[1,7,8,3,4,5,2,6]=>([(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[5,6,7,3,2,1,8,4]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>([(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[5,6,7,3,2,8,4,1]=>[1,2,8,3,4,5,6,7]=>[1,2,8,3,4,5,6,7]=>([(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[5,6,2,7,3,8,4,1]=>[1,2,7,3,8,4,5,6]=>[1,2,7,8,4,5,3,6]=>([(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[5,6,2,7,3,1,8,4]=>[1,8,2,7,3,4,5,6]=>[1,8,7,3,4,5,2,6]=>([(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,6,2,1,7,3,8,4]=>[1,7,2,3,8,4,5,6]=>[1,7,2,8,4,5,3,6]=>([(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[6,1,7,4,2,8,3,5]=>[1,7,2,8,3,5,4,6]=>[1,7,8,5,3,4,2,6]=>([(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[6,7,2,1,8,3,4,5]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>([(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[7,5,8,2,1,3,4,6]=>[1,3,4,6,2,5,8,7]=>[1,6,3,4,2,5,8,7]=>([(1,2),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,7,3,1,8,2,4,6]=>[1,8,2,4,6,3,5,7]=>[1,8,6,2,3,4,5,7]=>([(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,7,1,5,2,8,3,6]=>[1,5,2,8,3,6,4,7]=>[1,5,8,6,2,3,4,7]=>([(1,7),(2,3),(2,4),(2,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,4,2,5,1,8,3,6]=>[1,8,2,5,3,6,4,7]=>[1,8,5,6,2,3,4,7]=>([(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[6,7,4,2,1,8,3,5]=>[1,8,2,3,5,4,6,7]=>[1,8,2,5,3,4,6,7]=>([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,7,4,2,8,3,1,5]=>[1,5,2,8,3,4,6,7]=>[1,5,8,3,2,4,6,7]=>([(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[6,7,4,2,8,3,5,1]=>[1,2,8,3,5,4,6,7]=>[1,2,8,5,3,4,6,7]=>([(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,6,7,2,8,4,5,1]=>[1,2,8,3,6,7,4,5]=>[1,2,8,7,4,3,6,5]=>([(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,6,7,2,8,4,1,5]=>[1,5,2,8,3,6,7,4]=>[1,5,8,7,2,3,6,4]=>([(1,3),(1,6),(1,7),(2,3),(2,6),(2,7),(3,5),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,6,7,2,1,8,4,5]=>[1,8,2,3,6,7,4,5]=>[1,8,2,7,4,3,6,5]=>([(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,7,3,8,2,1,4,6]=>[1,4,6,2,3,8,5,7]=>[1,6,2,4,8,3,5,7]=>([(1,7),(2,5),(3,5),(3,7),(4,6),(4,7),(5,6),(6,7)],8)
[3,4,7,8,2,6,1,5]=>[1,5,2,6,3,4,7,8]=>[1,5,6,3,2,4,7,8]=>([(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[5,7,3,8,2,6,1,4]=>[1,4,2,6,3,8,5,7]=>[1,4,6,2,8,3,5,7]=>([(1,7),(2,3),(2,5),(3,6),(4,5),(4,7),(5,6),(6,7)],8)
[3,6,7,8,5,2,4,1]=>[1,2,4,3,6,7,8,5]=>[1,2,4,3,8,6,7,5]=>([(2,3),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,4,7,8,2,5,3,1]=>[1,2,5,3,4,7,8,6]=>[1,2,5,3,4,8,7,6]=>([(2,7),(3,7),(4,5),(4,6),(5,6)],8)
[6,4,7,8,2,1,5,3]=>[1,5,2,3,4,7,8,6]=>[1,5,2,3,4,8,7,6]=>([(1,7),(2,7),(3,7),(4,5),(4,6),(5,6)],8)
[4,1,5,7,8,2,6,3]=>[1,5,7,8,2,6,3,4]=>[1,8,6,3,5,2,7,4]=>([(1,5),(1,7),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,3,7,8,1,6,2,4]=>[1,6,2,4,3,7,8,5]=>[1,6,4,2,8,3,7,5]=>([(1,4),(1,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(5,7),(6,7)],8)
[6,7,2,8,5,1,3,4]=>[1,3,4,2,8,5,6,7]=>[1,4,3,2,8,5,6,7]=>([(1,7),(2,7),(3,7),(4,5),(4,6),(5,6)],8)
[6,4,1,7,8,2,5,3]=>[1,7,8,2,5,3,4,6]=>[1,8,5,3,2,4,7,6]=>([(1,2),(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,1,6,2,7,8,4,3]=>[1,6,2,7,8,3,4,5]=>[1,6,8,3,4,2,7,5]=>([(1,4),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(6,7)],8)
[5,6,2,1,7,8,4,3]=>[1,7,8,2,3,4,5,6]=>[1,8,2,3,4,5,7,6]=>([(1,7),(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[5,6,2,7,1,8,4,3]=>[1,8,2,7,3,4,5,6]=>[1,8,7,3,4,5,2,6]=>([(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,6,2,7,8,4,3,1]=>[1,2,7,8,3,4,5,6]=>[1,2,8,3,4,5,7,6]=>([(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[5,6,7,2,8,4,3,1]=>[1,2,8,3,4,5,6,7]=>[1,2,8,3,4,5,6,7]=>([(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[5,6,7,2,1,8,4,3]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>([(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[5,6,1,7,2,8,4,3]=>[1,7,2,8,3,4,5,6]=>[1,7,8,3,4,5,2,6]=>([(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[6,4,7,1,8,2,5,3]=>[1,8,2,5,3,4,7,6]=>[1,8,5,3,2,7,4,6]=>([(1,5),(1,7),(2,3),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[6,7,8,5,2,4,1,3]=>[1,3,2,4,5,6,7,8]=>[1,3,2,4,5,6,7,8]=>([(6,7)],8)
[6,7,8,3,5,1,4,2]=>[1,4,2,3,5,6,7,8]=>[1,4,2,3,5,6,7,8]=>([(5,7),(6,7)],8)
[4,6,7,8,1,5,3,2]=>[1,5,2,3,4,6,7,8]=>[1,5,2,3,4,6,7,8]=>([(4,7),(5,7),(6,7)],8)
[5,1,6,7,8,4,3,2]=>[1,6,7,8,2,3,4,5]=>[1,8,2,3,4,6,7,5]=>([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,6,1,7,8,4,3,2]=>[1,7,8,2,3,4,5,6]=>[1,8,2,3,4,5,7,6]=>([(1,7),(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[5,6,7,1,8,4,3,2]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>([(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[8,6,1,3,4,2,5,7]=>[1,3,4,2,5,7,6,8]=>[1,4,3,2,5,7,6,8]=>([(3,4),(5,6),(5,7),(6,7)],8)
[8,3,2,5,1,6,4,7]=>[1,6,2,5,3,4,7,8]=>[1,6,5,3,2,4,7,8]=>([(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,5,3,6,2,4,1,7]=>[1,7,2,4,3,6,5,8]=>[1,7,4,2,6,3,5,8]=>([(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[5,3,2,7,4,1,8,6]=>[1,8,2,7,3,4,5,6]=>[1,8,7,3,4,5,2,6]=>([(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,2,4,5,6,3,1,7]=>[1,7,2,4,5,6,3,8]=>[1,7,6,2,4,5,3,8]=>([(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,2,4,5,6,1,3,7]=>[1,3,7,2,4,5,6,8]=>[1,7,3,2,4,5,6,8]=>([(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[8,1,2,4,5,6,3,7]=>[1,2,4,5,6,3,7,8]=>[1,2,6,4,5,3,7,8]=>([(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,2,5,1,3,6,4,7]=>[1,3,6,2,5,4,7,8]=>[1,6,3,5,2,4,7,8]=>([(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[8,5,6,2,1,4,3,7]=>[1,4,2,3,7,5,6,8]=>[1,4,2,3,7,5,6,8]=>([(2,7),(3,7),(4,6),(5,6)],8)
[8,5,3,6,4,1,2,7]=>[1,2,7,3,6,4,5,8]=>[1,2,7,6,4,3,5,8]=>([(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,1,4,5,6,3,2,7]=>[1,4,5,6,2,7,3,8]=>[1,6,7,4,5,2,3,8]=>([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[4,5,3,7,2,1,8,6]=>[1,8,2,3,7,4,5,6]=>[1,8,2,7,4,5,3,6]=>([(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,4,5,8,3,2,6,1]=>[1,2,6,3,4,5,8,7]=>[1,2,6,3,4,5,8,7]=>([(2,3),(4,7),(5,7),(6,7)],8)
[4,3,6,7,2,8,5,1]=>[1,2,8,3,6,7,4,5]=>[1,2,8,7,4,3,6,5]=>([(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,3,6,7,2,8,1,5]=>[1,5,2,8,3,6,7,4]=>[1,5,8,7,2,3,6,4]=>([(1,3),(1,6),(1,7),(2,3),(2,6),(2,7),(3,5),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,5,3,7,1,8,2,6]=>[1,8,2,6,3,7,4,5]=>[1,8,6,7,4,2,3,5]=>([(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[4,1,5,3,7,2,8,6]=>[1,5,2,8,3,7,4,6]=>[1,5,8,7,2,4,3,6]=>([(1,6),(1,7),(2,3),(2,6),(2,7),(3,4),(3,5),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,3,4,7,1,2,8,6]=>[1,2,8,3,4,7,5,6]=>[1,2,8,3,7,5,4,6]=>([(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,5,8,2,1,4,6,3]=>[1,4,6,2,3,5,8,7]=>[1,6,2,4,3,5,8,7]=>([(1,2),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[7,5,3,8,4,1,6,2]=>[1,6,2,3,8,4,5,7]=>[1,6,2,8,4,3,5,7]=>([(1,7),(2,6),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[7,4,5,8,3,6,1,2]=>[1,2,3,6,4,5,8,7]=>[1,2,3,6,4,5,8,7]=>([(3,4),(5,7),(6,7)],8)
[1,6,4,7,8,3,5,2]=>[1,6,2,3,5,4,7,8]=>[1,6,2,5,3,4,7,8]=>([(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,4,7,8,3,5,2,1]=>[1,2,3,5,4,7,8,6]=>[1,2,3,5,4,8,7,6]=>([(3,4),(5,6),(5,7),(6,7)],8)
[3,5,6,7,8,4,1,2]=>[1,2,3,5,6,7,8,4]=>[1,2,3,8,5,6,7,4]=>([(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,1,5,6,7,8,4,2]=>[1,5,6,7,8,2,3,4]=>[1,8,2,3,5,6,7,4]=>([(1,7),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,6,7,1,4,8,5,2]=>[1,4,8,2,3,6,7,5]=>[1,8,2,4,7,3,6,5]=>([(1,7),(2,5),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,2,4,1,7,8,5,3]=>[1,7,8,2,4,3,5,6]=>[1,8,4,2,3,5,7,6]=>([(1,7),(2,3),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,3,6,7,8,1,2,5]=>[1,2,5,3,6,7,8,4]=>[1,2,5,8,3,6,7,4]=>([(2,3),(2,7),(3,6),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,5,3,6,7,8,2,4]=>[1,5,2,4,3,6,7,8]=>[1,5,4,2,3,6,7,8]=>([(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,5,6,7,8,2,1,4]=>[1,4,2,3,5,6,7,8]=>[1,4,2,3,5,6,7,8]=>([(5,7),(6,7)],8)
[3,5,6,7,8,2,4,1]=>[1,2,4,3,5,6,7,8]=>[1,2,4,3,5,6,7,8]=>([(6,7)],8)
[4,5,2,7,8,1,3,6]=>[1,3,6,2,7,8,4,5]=>[1,6,3,8,4,2,7,5]=>([(1,5),(1,6),(2,4),(2,7),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[4,2,6,7,8,3,1,5]=>[1,5,2,6,7,8,3,4]=>[1,5,8,3,2,6,7,4]=>([(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,7),(5,6),(6,7)],8)
[3,6,2,7,4,8,5,1]=>[1,2,7,3,6,4,8,5]=>[1,2,7,6,8,3,4,5]=>([(2,3),(2,4),(2,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,6,2,7,4,8,1,5]=>[1,5,2,7,3,6,4,8]=>[1,5,7,6,2,3,4,8]=>([(2,3),(2,4),(2,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,7,2,1,3,5,8,6]=>[1,3,5,8,2,4,7,6]=>[1,8,3,2,5,7,4,6]=>([(1,2),(1,7),(2,7),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[7,8,4,2,1,3,6,5]=>[1,3,6,2,4,5,7,8]=>[1,6,3,2,4,5,7,8]=>([(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[7,8,3,4,2,1,6,5]=>[1,6,2,3,4,5,7,8]=>[1,6,2,3,4,5,7,8]=>([(3,7),(4,7),(5,7),(6,7)],8)
[6,3,2,7,1,8,5,4]=>[1,8,2,7,3,4,5,6]=>[1,8,7,3,4,5,2,6]=>([(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,6,2,7,1,8,5,4]=>[1,8,2,7,3,6,4,5]=>[1,8,7,6,4,3,2,5]=>([(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,7,3,8,2,5,4,1]=>[1,2,5,3,8,4,6,7]=>[1,2,5,8,3,4,6,7]=>([(2,7),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[6,4,7,8,5,2,3,1]=>[1,2,3,4,7,8,5,6]=>[1,2,3,4,8,5,7,6]=>([(4,7),(5,6),(5,7),(6,7)],8)
[2,6,4,7,8,1,5,3]=>[1,5,2,6,3,4,7,8]=>[1,5,6,3,2,4,7,8]=>([(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[4,6,2,7,8,1,5,3]=>[1,5,2,7,8,3,4,6]=>[1,5,8,3,2,4,7,6]=>([(1,2),(1,7),(2,7),(3,4),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[7,4,5,8,6,2,1,3]=>[1,3,2,4,5,8,6,7]=>[1,3,2,4,5,8,6,7]=>([(3,4),(5,7),(6,7)],8)
[7,4,1,5,8,6,2,3]=>[1,5,8,2,3,4,6,7]=>[1,8,2,3,5,4,6,7]=>([(1,7),(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[7,5,3,8,6,1,2,4]=>[1,2,4,3,8,5,6,7]=>[1,2,4,3,8,5,6,7]=>([(2,3),(4,7),(5,7),(6,7)],8)
[7,5,8,2,1,6,3,4]=>[1,6,2,3,4,5,8,7]=>[1,6,2,3,4,5,8,7]=>([(1,2),(3,7),(4,7),(5,7),(6,7)],8)
[6,3,1,7,8,2,5,4]=>[1,7,8,2,5,3,4,6]=>[1,8,5,3,2,4,7,6]=>([(1,2),(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,6,1,7,8,5,2,3]=>[1,7,8,2,3,4,6,5]=>[1,8,2,3,6,4,7,5]=>([(1,7),(2,7),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[5,1,2,6,7,8,4,3]=>[1,2,6,7,8,3,4,5]=>[1,2,8,3,4,6,7,5]=>([(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,2,6,7,8,4,1,3]=>[1,3,2,6,7,8,4,5]=>[1,3,2,8,4,6,7,5]=>([(1,2),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,2,6,7,8,4,3,1]=>[1,2,6,7,8,3,4,5]=>[1,2,8,3,4,6,7,5]=>([(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,5,2,6,7,8,4,3]=>[1,5,2,6,7,8,3,4]=>[1,5,8,3,2,6,7,4]=>([(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,7),(5,6),(6,7)],8)
[6,7,8,2,1,5,4,3]=>[1,5,2,3,4,6,7,8]=>[1,5,2,3,4,6,7,8]=>([(4,7),(5,7),(6,7)],8)
[6,7,3,8,5,1,4,2]=>[1,4,2,3,8,5,6,7]=>[1,4,2,3,8,5,6,7]=>([(1,7),(2,7),(3,7),(4,6),(5,6)],8)
[6,4,7,8,5,3,1,2]=>[1,2,3,4,7,8,5,6]=>[1,2,3,4,8,5,7,6]=>([(4,7),(5,6),(5,7),(6,7)],8)
[4,5,2,3,7,6,1,8]=>[1,8,2,3,7,4,5,6]=>[1,8,2,7,4,5,3,6]=>([(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,4,3,7,2,5,1,8]=>[1,8,2,5,3,7,4,6]=>[1,8,5,7,2,4,3,6]=>([(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[8,4,3,6,5,1,2,7]=>[1,2,7,3,6,4,5,8]=>[1,2,7,6,4,3,5,8]=>([(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,6,2,7,3,5,1,8]=>[1,8,2,7,3,5,4,6]=>[1,8,7,5,3,4,2,6]=>([(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,7,2,6,5,3,1,8]=>[1,8,2,6,3,4,7,5]=>[1,8,6,3,7,2,4,5]=>([(1,4),(1,6),(1,7),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[5,7,6,2,4,3,1,8]=>[1,8,2,4,3,5,7,6]=>[1,8,4,2,3,7,5,6]=>([(1,6),(1,7),(2,6),(2,7),(3,5),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[8,7,5,4,1,3,2,6]=>[1,3,2,6,4,5,7,8]=>[1,3,2,6,4,5,7,8]=>([(3,4),(5,7),(6,7)],8)
[6,8,5,4,2,1,3,7]=>[1,3,7,2,4,5,6,8]=>[1,7,3,2,4,5,6,8]=>([(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[5,8,6,2,4,1,3,7]=>[1,3,7,2,4,5,8,6]=>[1,7,3,2,4,8,5,6]=>([(1,7),(2,5),(2,6),(3,4),(3,7),(4,7),(5,7),(6,7)],8)
[3,2,8,6,5,1,4,7]=>[1,4,7,2,8,3,5,6]=>[1,7,8,4,3,5,2,6]=>([(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[4,1,2,6,5,8,7,3]=>[1,2,6,3,4,5,8,7]=>[1,2,6,3,4,5,8,7]=>([(2,3),(4,7),(5,7),(6,7)],8)
[5,1,6,2,4,8,7,3]=>[1,6,2,4,8,3,5,7]=>[1,6,8,2,3,4,5,7]=>([(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[6,1,5,4,2,8,7,3]=>[1,5,2,8,3,4,6,7]=>[1,5,8,3,2,4,6,7]=>([(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[8,1,5,4,7,6,2,3]=>[1,5,2,3,4,7,6,8]=>[1,5,2,3,4,7,6,8]=>([(2,3),(4,7),(5,7),(6,7)],8)
[1,8,6,7,4,5,3,2]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>([(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[8,1,6,7,4,5,2,3]=>[1,6,7,2,3,4,5,8]=>[1,7,2,3,4,6,5,8]=>([(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[4,1,2,7,8,5,6,3]=>[1,2,7,8,3,4,5,6]=>[1,2,8,3,4,5,7,6]=>([(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[3,2,1,7,8,5,6,4]=>[1,7,8,2,3,4,5,6]=>[1,8,2,3,4,5,7,6]=>([(1,7),(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[3,2,8,7,1,5,4,6]=>[1,5,2,8,3,4,6,7]=>[1,5,8,3,2,4,6,7]=>([(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[4,8,2,7,1,5,3,6]=>[1,5,2,7,3,6,4,8]=>[1,5,7,6,2,3,4,8]=>([(2,3),(2,4),(2,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,8,7,2,1,4,3,6]=>[1,4,2,3,6,5,8,7]=>[1,4,2,3,6,5,8,7]=>([(1,4),(2,3),(5,7),(6,7)],8)
[6,8,7,1,2,4,3,5]=>[1,2,4,3,5,6,8,7]=>[1,2,4,3,5,6,8,7]=>([(4,7),(5,6)],8)
[7,8,6,1,4,2,3,5]=>[1,4,2,3,5,6,7,8]=>[1,4,2,3,5,6,7,8]=>([(5,7),(6,7)],8)
[8,7,6,1,4,3,2,5]=>[1,4,2,5,3,6,7,8]=>[1,4,5,2,3,6,7,8]=>([(4,6),(4,7),(5,6),(5,7)],8)
[1,7,6,8,4,3,5,2]=>[1,7,2,3,5,4,6,8]=>[1,7,2,5,3,4,6,8]=>([(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,6,7,8,3,4,5,2]=>[1,6,7,8,2,3,4,5]=>[1,8,2,3,4,6,7,5]=>([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,6,7,1,3,4,2,5]=>[1,3,4,2,5,6,7,8]=>[1,4,3,2,5,6,7,8]=>([(5,6),(5,7),(6,7)],8)
[7,6,8,1,3,2,4,5]=>[1,3,2,4,5,6,8,7]=>[1,3,2,4,5,6,8,7]=>([(4,7),(5,6)],8)
[5,7,8,2,1,3,4,6]=>[1,3,4,6,2,5,7,8]=>[1,6,3,4,2,5,7,8]=>([(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,7,2,8,1,3,5,6]=>[1,3,5,6,2,8,4,7]=>[1,6,3,8,5,2,4,7]=>([(1,7),(2,5),(2,6),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[4,6,2,8,3,1,5,7]=>[1,5,7,2,8,3,4,6]=>[1,7,8,3,5,4,2,6]=>([(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[5,6,8,2,3,1,4,7]=>[1,4,7,2,3,5,6,8]=>[1,7,2,4,3,5,6,8]=>([(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[6,5,8,3,2,1,4,7]=>[1,4,7,2,3,5,8,6]=>[1,7,2,4,3,8,5,6]=>([(1,7),(2,5),(2,6),(3,4),(3,7),(4,7),(5,7),(6,7)],8)
[8,5,7,3,1,4,2,6]=>[1,4,2,6,3,5,7,8]=>[1,4,6,2,3,5,7,8]=>([(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[1,5,7,3,8,4,6,2]=>[1,5,7,2,3,8,4,6]=>[1,7,2,8,5,4,3,6]=>([(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[1,4,3,7,8,5,6,2]=>[1,4,2,3,7,8,5,6]=>[1,4,2,3,8,5,7,6]=>([(1,7),(2,4),(3,4),(5,6),(5,7),(6,7)],8)
[8,4,3,7,1,5,2,6]=>[1,5,2,6,3,7,4,8]=>[1,5,6,7,2,3,4,8]=>([(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[6,4,3,8,2,1,5,7]=>[1,5,7,2,3,8,4,6]=>[1,7,2,8,5,4,3,6]=>([(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[3,2,5,4,8,1,6,7]=>[1,6,7,2,5,3,4,8]=>[1,7,5,3,2,6,4,8]=>([(2,5),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,5,2,3,1,8,7,6]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>([(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[6,4,3,1,2,8,7,5]=>[1,2,8,3,4,5,6,7]=>[1,2,8,3,4,5,6,7]=>([(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[7,4,3,1,8,2,6,5]=>[1,8,2,6,3,4,5,7]=>[1,8,6,3,4,2,5,7]=>([(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,4,3,1,7,6,2,5]=>[1,7,2,5,3,4,6,8]=>[1,7,5,3,2,4,6,8]=>([(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,5,1,3,7,6,2,4]=>[1,3,7,2,4,5,6,8]=>[1,7,3,2,4,5,6,8]=>([(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[6,5,1,3,2,8,7,4]=>[1,3,2,8,4,5,6,7]=>[1,3,2,8,4,5,6,7]=>([(1,2),(3,7),(4,7),(5,7),(6,7)],8)
[5,6,1,2,3,8,7,4]=>[1,2,3,8,4,5,6,7]=>[1,2,3,8,4,5,6,7]=>([(3,7),(4,7),(5,7),(6,7)],8)
[4,6,2,1,3,8,7,5]=>[1,3,8,2,4,6,5,7]=>[1,8,3,2,6,4,5,7]=>([(1,7),(2,3),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,2,7,1,8,4,6,5]=>[1,8,2,7,3,4,6,5]=>[1,8,7,3,6,4,2,5]=>([(1,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,7,2,1,8,3,6,5]=>[1,8,2,3,6,4,7,5]=>[1,8,2,6,7,3,4,5]=>([(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[5,7,1,2,8,3,6,4]=>[1,2,8,3,6,4,5,7]=>[1,2,8,6,4,3,5,7]=>([(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,7,1,8,2,3,5,4]=>[1,8,2,3,5,4,6,7]=>[1,8,2,5,3,4,6,7]=>([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,6,1,8,3,2,5,4]=>[1,8,2,5,3,4,6,7]=>[1,8,5,3,2,4,6,7]=>([(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,6,1,7,3,5,2,4]=>[1,7,2,4,3,5,6,8]=>[1,7,4,2,3,5,6,8]=>([(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,6,8,7,3,5,4,2]=>[1,6,8,2,3,5,4,7]=>[1,8,2,5,3,6,4,7]=>([(1,7),(2,7),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[1,7,8,6,5,3,4,2]=>[1,7,8,2,3,4,5,6]=>[1,8,2,3,4,5,7,6]=>([(1,7),(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[8,7,1,6,5,3,2,4]=>[1,6,2,4,3,5,7,8]=>[1,6,4,2,3,5,7,8]=>([(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,8,1,6,5,2,3,4]=>[1,6,2,3,4,5,7,8]=>[1,6,2,3,4,5,7,8]=>([(3,7),(4,7),(5,7),(6,7)],8)
[6,8,1,7,2,5,3,4]=>[1,7,2,5,3,4,6,8]=>[1,7,5,3,2,4,6,8]=>([(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,8,1,2,7,6,3,4]=>[1,2,7,3,4,5,8,6]=>[1,2,7,3,4,8,5,6]=>([(2,7),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[4,8,2,1,7,6,3,5]=>[1,7,2,3,5,4,8,6]=>[1,7,2,5,3,8,4,6]=>([(1,7),(2,3),(2,7),(3,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,2,8,1,7,6,4,5]=>[1,7,2,8,3,4,5,6]=>[1,7,8,3,4,5,2,6]=>([(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[4,1,2,8,7,6,5,3]=>[1,2,8,3,4,5,6,7]=>[1,2,8,3,4,5,6,7]=>([(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[5,1,8,2,7,6,4,3]=>[1,8,2,7,3,4,5,6]=>[1,8,7,3,4,5,2,6]=>([(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,1,8,7,2,5,4,3]=>[1,8,2,5,3,4,6,7]=>[1,8,5,3,2,4,6,7]=>([(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,1,8,6,5,2,4,3]=>[1,8,2,4,3,5,6,7]=>[1,8,4,2,3,5,6,7]=>([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,1,7,6,5,4,2,3]=>[1,7,2,3,4,5,6,8]=>[1,7,2,3,4,5,6,8]=>([(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[3,1,2,6,5,8,7,4]=>[1,2,6,3,4,5,8,7]=>[1,2,6,3,4,5,8,7]=>([(2,3),(4,7),(5,7),(6,7)],8)
[3,1,6,2,4,8,7,5]=>[1,6,2,4,8,3,5,7]=>[1,6,8,2,3,4,5,7]=>([(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[3,1,5,2,4,8,7,6]=>[1,5,2,4,8,3,6,7]=>[1,5,8,2,4,3,6,7]=>([(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[4,5,1,2,3,8,7,6]=>[1,2,3,8,4,5,6,7]=>[1,2,3,8,4,5,6,7]=>([(3,7),(4,7),(5,7),(6,7)],8)
[4,6,1,2,3,8,7,5]=>[1,2,3,8,4,6,5,7]=>[1,2,3,8,6,4,5,7]=>([(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,6,5,3,4,8,7,2]=>[1,6,2,3,4,8,5,7]=>[1,6,2,3,8,4,5,7]=>([(1,7),(2,7),(3,6),(4,6),(4,7),(5,6),(5,7)],8)
[6,1,5,2,4,8,7,3]=>[1,5,2,4,8,3,6,7]=>[1,5,8,2,4,3,6,7]=>([(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[6,5,1,2,3,8,7,4]=>[1,2,3,8,4,5,6,7]=>[1,2,3,8,4,5,6,7]=>([(3,7),(4,7),(5,7),(6,7)],8)
[6,4,1,2,3,8,7,5]=>[1,2,3,8,4,5,6,7]=>[1,2,3,8,4,5,6,7]=>([(3,7),(4,7),(5,7),(6,7)],8)
[5,4,1,2,3,8,7,6]=>[1,2,3,8,4,5,6,7]=>[1,2,3,8,4,5,6,7]=>([(3,7),(4,7),(5,7),(6,7)],8)
[5,4,1,2,7,3,6,8]=>[1,2,7,3,6,8,4,5]=>[1,2,7,8,4,3,6,5]=>([(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[6,4,1,7,2,3,5,8]=>[1,7,2,3,5,8,4,6]=>[1,7,2,8,3,4,5,6]=>([(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[6,4,1,8,2,3,5,7]=>[1,8,2,3,5,7,4,6]=>[1,8,2,7,3,4,5,6]=>([(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,4,1,2,8,3,6,5]=>[1,2,8,3,6,4,5,7]=>[1,2,8,6,4,3,5,7]=>([(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,5,1,2,8,3,6,4]=>[1,2,8,3,6,4,5,7]=>[1,2,8,6,4,3,5,7]=>([(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,1,5,2,8,4,6,3]=>[1,5,2,8,3,4,6,7]=>[1,5,8,3,2,4,6,7]=>([(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[1,8,5,3,7,4,6,2]=>[1,8,2,3,7,4,6,5]=>[1,8,2,7,6,4,3,5]=>([(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,1,5,2,7,4,6,3]=>[1,5,2,7,3,4,6,8]=>[1,5,7,3,2,4,6,8]=>([(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[8,5,1,2,7,3,6,4]=>[1,2,7,3,6,4,5,8]=>[1,2,7,6,4,3,5,8]=>([(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,4,1,2,7,3,6,5]=>[1,2,7,3,6,4,5,8]=>[1,2,7,6,4,3,5,8]=>([(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,4,1,7,2,3,5,6]=>[1,7,2,3,5,6,4,8]=>[1,7,2,6,3,5,4,8]=>([(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,4,1,6,2,3,5,8]=>[1,6,2,3,5,8,4,7]=>[1,6,2,8,3,5,4,7]=>([(1,7),(2,6),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[8,6,1,7,2,3,5,4]=>[1,7,2,3,5,4,6,8]=>[1,7,2,5,3,4,6,8]=>([(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,1,6,7,2,4,5,3]=>[1,6,7,2,4,5,3,8]=>[1,7,5,2,4,6,3,8]=>([(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,8,6,7,3,4,5,2]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>([(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[1,7,6,8,3,4,5,2]=>[1,7,2,3,4,5,6,8]=>[1,7,2,3,4,5,6,8]=>([(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[7,1,6,8,2,4,5,3]=>[1,6,8,2,4,5,3,7]=>[1,8,5,2,4,6,3,7]=>([(1,7),(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,6,1,8,2,3,5,4]=>[1,8,2,3,5,4,6,7]=>[1,8,2,5,3,4,6,7]=>([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,1,2,7,8,5,6,4]=>[1,2,7,8,3,4,5,6]=>[1,2,8,3,4,5,7,6]=>([(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[1,4,3,8,7,5,6,2]=>[1,4,2,3,8,5,6,7]=>[1,4,2,3,8,5,6,7]=>([(1,7),(2,7),(3,7),(4,6),(5,6)],8)
[4,1,2,8,7,5,6,3]=>[1,2,8,3,4,5,6,7]=>[1,2,8,3,4,5,6,7]=>([(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[3,1,2,8,7,5,6,4]=>[1,2,8,3,4,5,6,7]=>[1,2,8,3,4,5,6,7]=>([(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[3,1,8,2,7,4,6,5]=>[1,8,2,7,3,4,6,5]=>[1,8,7,3,6,4,2,5]=>([(1,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,1,7,6,2,4,5,8]=>[1,7,2,4,5,8,3,6]=>[1,7,8,2,4,3,5,6]=>([(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[4,7,1,6,2,3,5,8]=>[1,6,2,3,5,8,4,7]=>[1,6,2,8,3,5,4,7]=>([(1,7),(2,6),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[4,8,1,6,2,3,5,7]=>[1,6,2,3,5,7,4,8]=>[1,6,2,7,3,5,4,8]=>([(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[4,8,1,7,2,3,5,6]=>[1,7,2,3,5,6,4,8]=>[1,7,2,6,3,5,4,8]=>([(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,8,1,2,7,3,6,5]=>[1,2,7,3,6,4,8,5]=>[1,2,7,6,8,3,4,5]=>([(2,3),(2,4),(2,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,8,1,2,7,3,6,4]=>[1,2,7,3,6,4,5,8]=>[1,2,7,6,4,3,5,8]=>([(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,1,8,2,7,4,6,3]=>[1,8,2,7,3,4,6,5]=>[1,8,7,3,6,4,2,5]=>([(1,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,6,8,7,3,4,5,2]=>[1,6,8,2,3,4,5,7]=>[1,8,2,3,4,6,5,7]=>([(1,7),(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[6,8,1,7,2,3,5,4]=>[1,7,2,3,5,4,6,8]=>[1,7,2,5,3,4,6,8]=>([(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,8,7,1,2,3,4,5]=>[1,2,3,4,5,6,8,7]=>[1,2,3,4,5,6,8,7]=>([(6,7)],8)
[5,8,7,1,2,3,4,6]=>[1,2,3,4,6,5,8,7]=>[1,2,3,4,6,5,8,7]=>([(4,7),(5,6)],8)
[5,8,6,1,2,3,4,7]=>[1,2,3,4,7,5,8,6]=>[1,2,3,4,7,8,5,6]=>([(4,6),(4,7),(5,6),(5,7)],8)
[5,7,6,1,2,3,4,8]=>[1,2,3,4,8,5,7,6]=>[1,2,3,4,8,7,5,6]=>([(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,8,1,6,2,3,5,4]=>[1,6,2,3,5,4,7,8]=>[1,6,2,5,3,4,7,8]=>([(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,7,8,6,3,4,5,2]=>[1,7,8,2,3,4,5,6]=>[1,8,2,3,4,5,7,6]=>([(1,7),(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[1,8,7,6,3,4,5,2]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>([(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[8,7,1,6,2,3,5,4]=>[1,6,2,3,5,4,7,8]=>[1,6,2,5,3,4,7,8]=>([(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,2,5,1,6,4,8,7]=>[1,6,2,5,3,4,8,7]=>[1,6,5,3,2,4,8,7]=>([(1,2),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,2,5,4,7,1,8,6]=>[1,8,2,5,3,4,7,6]=>[1,8,5,3,2,7,4,6]=>([(1,5),(1,7),(2,3),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[4,2,5,3,7,6,8,1]=>[1,2,5,3,7,4,6,8]=>[1,2,5,7,3,4,6,8]=>([(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[4,2,5,3,7,1,8,6]=>[1,8,2,5,3,7,4,6]=>[1,8,5,7,2,4,3,6]=>([(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[4,2,5,3,6,1,8,7]=>[1,8,2,5,3,6,4,7]=>[1,8,5,6,2,3,4,7]=>([(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[4,2,5,1,6,3,8,7]=>[1,6,2,5,3,8,4,7]=>[1,6,5,8,2,3,4,7]=>([(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6)],8)
[3,1,5,4,6,2,8,7]=>[1,5,2,8,3,4,6,7]=>[1,5,8,3,2,4,6,7]=>([(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[4,1,5,3,6,2,8,7]=>[1,5,2,8,3,6,4,7]=>[1,5,8,6,2,3,4,7]=>([(1,7),(2,3),(2,4),(2,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,3,5,1,6,2,8,7]=>[1,6,2,8,3,5,4,7]=>[1,6,8,5,3,2,4,7]=>([(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[4,3,5,2,7,1,8,6]=>[1,8,2,7,3,5,4,6]=>[1,8,7,5,3,4,2,6]=>([(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,3,6,2,7,5,8,1]=>[1,2,7,3,6,4,5,8]=>[1,2,7,6,4,3,5,8]=>([(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,3,6,2,7,1,8,5]=>[1,8,2,7,3,6,4,5]=>[1,8,7,6,4,3,2,5]=>([(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,3,6,1,7,2,8,5]=>[1,7,2,8,3,6,4,5]=>[1,7,8,6,4,3,2,5]=>([(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[4,3,5,1,7,2,8,6]=>[1,7,2,8,3,5,4,6]=>[1,7,8,5,3,4,2,6]=>([(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[3,1,5,4,7,2,8,6]=>[1,5,2,8,3,4,7,6]=>[1,5,8,3,2,7,4,6]=>([(1,6),(1,7),(2,3),(2,4),(2,5),(3,4),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[2,1,5,4,7,3,8,6]=>[1,5,2,3,8,4,7,6]=>[1,5,2,8,3,7,4,6]=>([(1,6),(2,5),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7)],8)
[3,1,5,4,7,6,8,2]=>[1,5,2,3,4,7,6,8]=>[1,5,2,3,4,7,6,8]=>([(2,3),(4,7),(5,7),(6,7)],8)
[4,1,5,3,7,6,8,2]=>[1,5,2,3,7,4,6,8]=>[1,5,2,7,3,4,6,8]=>([(2,7),(3,6),(4,6),(4,7),(5,6),(5,7)],8)
[4,3,5,1,7,6,8,2]=>[1,7,2,3,5,4,6,8]=>[1,7,2,5,3,4,6,8]=>([(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,3,6,1,7,5,8,2]=>[1,7,2,3,6,4,5,8]=>[1,7,2,6,4,3,5,8]=>([(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,3,6,5,7,1,8,2]=>[1,8,2,3,6,4,5,7]=>[1,8,2,6,4,3,5,7]=>([(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,3,6,4,7,1,8,2]=>[1,8,2,3,6,4,7,5]=>[1,8,2,6,7,3,4,5]=>([(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[5,1,6,3,7,4,8,2]=>[1,6,2,3,7,4,8,5]=>[1,6,2,7,8,3,4,5]=>([(1,7),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8)
[3,1,6,4,7,5,8,2]=>[1,6,2,3,4,7,5,8]=>[1,6,2,3,7,4,5,8]=>([(2,7),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[2,1,6,4,7,5,8,3]=>[1,6,2,3,4,7,5,8]=>[1,6,2,3,7,4,5,8]=>([(2,7),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[2,1,6,4,7,3,8,5]=>[1,6,2,3,8,4,7,5]=>[1,6,2,8,7,3,4,5]=>([(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6)],8)
[3,1,6,4,7,2,8,5]=>[1,6,2,8,3,4,7,5]=>[1,6,8,3,7,2,4,5]=>([(1,4),(1,5),(1,7),(2,4),(2,5),(2,7),(3,4),(3,6),(3,7),(4,6),(5,6),(5,7),(6,7)],8)
[4,1,6,3,7,2,8,5]=>[1,6,2,8,3,7,4,5]=>[1,6,8,7,4,2,3,5]=>([(1,4),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(5,6),(5,7),(6,7)],8)
[5,1,6,3,7,2,8,4]=>[1,6,2,8,3,7,4,5]=>[1,6,8,7,4,2,3,5]=>([(1,4),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(5,6),(5,7),(6,7)],8)
[5,3,6,1,7,2,8,4]=>[1,7,2,8,3,6,4,5]=>[1,7,8,6,4,3,2,5]=>([(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[5,3,6,2,7,1,8,4]=>[1,8,2,7,3,6,4,5]=>[1,8,7,6,4,3,2,5]=>([(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,3,6,2,7,4,8,1]=>[1,2,7,3,6,4,8,5]=>[1,2,7,6,8,3,4,5]=>([(2,3),(2,4),(2,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,2,6,3,7,4,8,1]=>[1,2,6,3,7,4,8,5]=>[1,2,6,7,8,3,4,5]=>([(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[5,2,6,3,7,1,8,4]=>[1,8,2,6,3,7,4,5]=>[1,8,6,7,4,2,3,5]=>([(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[5,2,6,1,7,3,8,4]=>[1,7,2,6,3,8,4,5]=>[1,7,6,8,4,2,3,5]=>([(1,4),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(5,6),(5,7),(6,7)],8)
[4,2,5,1,7,3,8,6]=>[1,7,2,5,3,8,4,6]=>[1,7,5,8,2,4,3,6]=>([(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7)],8)
[4,2,6,1,7,3,8,5]=>[1,7,2,6,3,8,4,5]=>[1,7,6,8,4,2,3,5]=>([(1,4),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(5,6),(5,7),(6,7)],8)
[4,2,6,3,7,1,8,5]=>[1,8,2,6,3,7,4,5]=>[1,8,6,7,4,2,3,5]=>([(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[4,2,6,3,7,5,8,1]=>[1,2,6,3,7,4,5,8]=>[1,2,6,7,4,3,5,8]=>([(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[3,2,6,4,7,5,8,1]=>[1,2,6,3,4,7,5,8]=>[1,2,6,3,7,4,5,8]=>([(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[3,2,6,4,7,1,8,5]=>[1,8,2,6,3,4,7,5]=>[1,8,6,3,7,2,4,5]=>([(1,4),(1,6),(1,7),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[3,2,6,1,7,4,8,5]=>[1,7,2,6,3,4,8,5]=>[1,7,6,3,8,2,4,5]=>([(1,3),(1,6),(1,7),(2,3),(2,6),(2,7),(3,5),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,2,5,1,7,4,8,6]=>[1,7,2,5,3,4,8,6]=>[1,7,5,3,2,8,4,6]=>([(1,2),(1,5),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,2,4,1,7,5,8,6]=>[1,7,2,4,3,5,8,6]=>[1,7,4,2,3,8,5,6]=>([(1,2),(1,3),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,1,4,2,7,6,8,5]=>[1,4,2,7,3,5,6,8]=>[1,4,7,2,3,5,6,8]=>([(2,7),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[3,2,5,1,7,6,8,4]=>[1,7,2,5,3,4,6,8]=>[1,7,5,3,2,4,6,8]=>([(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,2,6,1,7,5,8,4]=>[1,7,2,6,3,4,5,8]=>[1,7,6,3,4,2,5,8]=>([(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,2,6,5,7,1,8,4]=>[1,8,2,6,3,4,5,7]=>[1,8,6,3,4,2,5,7]=>([(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,2,6,5,7,3,8,1]=>[1,2,6,3,8,4,5,7]=>[1,2,6,8,4,3,5,7]=>([(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[4,2,6,5,7,1,8,3]=>[1,8,2,6,3,4,5,7]=>[1,8,6,3,4,2,5,7]=>([(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,2,6,1,7,5,8,3]=>[1,7,2,6,3,4,5,8]=>[1,7,6,3,4,2,5,8]=>([(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,2,5,1,7,6,8,3]=>[1,7,2,5,3,4,6,8]=>[1,7,5,3,2,4,6,8]=>([(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,1,5,2,7,6,8,3]=>[1,5,2,7,3,4,6,8]=>[1,5,7,3,2,4,6,8]=>([(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[3,1,5,2,7,6,8,4]=>[1,5,2,7,3,4,6,8]=>[1,5,7,3,2,4,6,8]=>([(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[2,1,5,3,7,6,8,4]=>[1,5,2,3,7,4,6,8]=>[1,5,2,7,3,4,6,8]=>([(2,7),(3,6),(4,6),(4,7),(5,6),(5,7)],8)
[3,1,6,2,7,5,8,4]=>[1,6,2,7,3,4,5,8]=>[1,6,7,3,4,2,5,8]=>([(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[4,1,6,2,7,5,8,3]=>[1,6,2,7,3,4,5,8]=>[1,6,7,3,4,2,5,8]=>([(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[5,2,6,1,7,4,8,3]=>[1,7,2,6,3,4,8,5]=>[1,7,6,3,8,2,4,5]=>([(1,3),(1,6),(1,7),(2,3),(2,6),(2,7),(3,5),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,2,6,4,7,1,8,3]=>[1,8,2,6,3,4,7,5]=>[1,8,6,3,7,2,4,5]=>([(1,4),(1,6),(1,7),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[5,2,6,4,7,3,8,1]=>[1,2,6,3,8,4,7,5]=>[1,2,6,8,7,3,4,5]=>([(2,3),(2,4),(2,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,4,6,2,7,3,8,1]=>[1,2,7,3,8,4,6,5]=>[1,2,7,8,6,4,3,5]=>([(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[5,4,6,2,7,1,8,3]=>[1,8,2,7,3,4,6,5]=>[1,8,7,3,6,4,2,5]=>([(1,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,1,6,4,7,2,8,3]=>[1,6,2,8,3,4,7,5]=>[1,6,8,3,7,2,4,5]=>([(1,4),(1,5),(1,7),(2,4),(2,5),(2,7),(3,4),(3,6),(3,7),(4,6),(5,6),(5,7),(6,7)],8)
[4,1,6,5,7,2,8,3]=>[1,6,2,8,3,4,5,7]=>[1,6,8,3,4,2,5,7]=>([(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[3,1,6,5,7,2,8,4]=>[1,6,2,8,3,4,5,7]=>[1,6,8,3,4,2,5,7]=>([(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[2,1,6,5,7,3,8,4]=>[1,6,2,3,8,4,5,7]=>[1,6,2,8,4,3,5,7]=>([(1,7),(2,6),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[3,1,6,5,7,4,8,2]=>[1,6,2,3,4,8,5,7]=>[1,6,2,3,8,4,5,7]=>([(1,7),(2,7),(3,6),(4,6),(4,7),(5,6),(5,7)],8)
[4,1,6,5,7,3,8,2]=>[1,6,2,3,8,4,5,7]=>[1,6,2,8,4,3,5,7]=>([(1,7),(2,6),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[5,1,6,4,7,3,8,2]=>[1,6,2,3,8,4,7,5]=>[1,6,2,8,7,3,4,5]=>([(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6)],8)
[5,4,6,3,7,1,8,2]=>[1,8,2,3,7,4,6,5]=>[1,8,2,7,6,4,3,5]=>([(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,3,5,2,1,6,4,7]=>[1,6,2,3,5,4,7,8]=>[1,6,2,5,3,4,7,8]=>([(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,6,3,5,2,4,1,7]=>[1,7,2,4,3,5,6,8]=>[1,7,4,2,3,5,6,8]=>([(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,7,5,2,4,1,8,6]=>[1,8,2,4,3,7,5,6]=>[1,8,4,2,7,5,3,6]=>([(1,5),(1,7),(2,3),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,3,7,5,2,4,6,1]=>[1,2,4,6,3,7,5,8]=>[1,2,6,4,7,3,5,8]=>([(3,6),(3,7),(4,5),(4,7),(5,6),(6,7)],8)
[8,2,4,6,5,3,1,7]=>[1,7,2,4,6,3,5,8]=>[1,7,6,2,3,4,5,8]=>([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,2,5,4,6,1,3,7]=>[1,3,7,2,5,4,6,8]=>[1,7,3,5,2,4,6,8]=>([(2,7),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[8,6,3,5,1,4,2,7]=>[1,4,2,7,3,5,6,8]=>[1,4,7,2,3,5,6,8]=>([(2,7),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[8,6,1,4,5,3,2,7]=>[1,4,5,2,7,3,6,8]=>[1,5,7,4,2,3,6,8]=>([(2,7),(3,4),(3,5),(3,6),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,7,4,3,2,1,8,6]=>[1,8,2,3,4,5,7,6]=>[1,8,2,3,4,7,5,6]=>([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,5,7,4,3,2,6,1]=>[1,2,6,3,4,5,7,8]=>[1,2,6,3,4,5,7,8]=>([(4,7),(5,7),(6,7)],8)
[4,7,6,3,2,8,1,5]=>[1,5,2,8,3,4,7,6]=>[1,5,8,3,2,7,4,6]=>([(1,6),(1,7),(2,3),(2,4),(2,5),(3,4),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[1,4,6,7,3,2,8,5]=>[1,4,6,7,2,8,3,5]=>[1,7,8,4,3,6,2,5]=>([(1,4),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[5,4,7,3,1,8,2,6]=>[1,8,2,6,3,4,7,5]=>[1,8,6,3,7,2,4,5]=>([(1,4),(1,6),(1,7),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[1,7,4,5,3,2,8,6]=>[1,7,2,8,3,4,5,6]=>[1,7,8,3,4,5,2,6]=>([(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[3,7,5,1,4,2,8,6]=>[1,4,2,8,3,7,5,6]=>[1,4,8,2,7,5,3,6]=>([(1,2),(1,7),(2,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,7,4,2,1,3,8,6]=>[1,3,8,2,4,5,7,6]=>[1,8,3,2,4,7,5,6]=>([(1,7),(2,3),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,5,7,4,2,1,6,3]=>[1,6,2,3,4,5,7,8]=>[1,6,2,3,4,5,7,8]=>([(3,7),(4,7),(5,7),(6,7)],8)
[8,3,7,5,1,4,6,2]=>[1,4,6,2,3,7,5,8]=>[1,6,2,4,7,3,5,8]=>([(2,7),(3,4),(3,7),(4,6),(5,6),(5,7),(6,7)],8)
[8,4,1,7,5,3,6,2]=>[1,7,2,3,6,4,5,8]=>[1,7,2,6,4,3,5,8]=>([(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,6,3,8,7,1,5,2]=>[1,5,2,3,8,4,6,7]=>[1,5,2,8,3,4,6,7]=>([(1,7),(2,7),(3,6),(4,6),(4,7),(5,6),(5,7)],8)
[1,7,4,8,6,3,5,2]=>[1,7,2,3,5,4,8,6]=>[1,7,2,5,3,8,4,6]=>([(1,7),(2,3),(2,7),(3,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,4,7,6,3,5,2,1]=>[1,2,3,5,4,7,6,8]=>[1,2,3,5,4,7,6,8]=>([(4,7),(5,6)],8)
[3,6,5,8,7,4,1,2]=>[1,2,3,6,4,5,8,7]=>[1,2,3,6,4,5,8,7]=>([(3,4),(5,7),(6,7)],8)
[3,1,5,8,6,7,4,2]=>[1,5,8,2,3,4,6,7]=>[1,8,2,3,5,4,6,7]=>([(1,7),(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[4,8,1,6,7,3,5,2]=>[1,6,7,2,3,5,4,8]=>[1,7,2,5,3,6,4,8]=>([(2,7),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[3,6,4,1,8,7,5,2]=>[1,8,2,3,6,4,5,7]=>[1,8,2,6,4,3,5,7]=>([(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,7,6,8,1,4,3,5]=>[1,4,2,7,3,5,6,8]=>[1,4,7,2,3,5,6,8]=>([(2,7),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[3,7,1,6,4,8,2,5]=>[1,6,2,5,3,7,4,8]=>[1,6,5,7,2,3,4,8]=>([(2,3),(2,4),(2,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,7,3,5,6,8,2,4]=>[1,7,2,4,3,5,6,8]=>[1,7,4,2,3,5,6,8]=>([(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,3,6,7,5,8,2,4]=>[1,3,6,7,2,4,5,8]=>[1,7,3,2,4,6,5,8]=>([(2,7),(3,6),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[3,7,6,5,8,2,1,4]=>[1,4,2,3,7,5,8,6]=>[1,4,2,3,7,8,5,6]=>([(1,7),(2,7),(3,5),(3,6),(4,5),(4,6)],8)
[2,3,5,7,6,8,1,4]=>[1,4,2,3,5,7,6,8]=>[1,4,2,3,5,7,6,8]=>([(3,4),(5,7),(6,7)],8)
[2,1,6,5,7,8,3,4]=>[1,6,2,3,4,5,7,8]=>[1,6,2,3,4,5,7,8]=>([(3,7),(4,7),(5,7),(6,7)],8)
[4,2,7,6,8,3,1,5]=>[1,5,2,7,3,4,6,8]=>[1,5,7,3,2,4,6,8]=>([(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[4,2,6,8,7,3,5,1]=>[1,2,6,8,3,5,4,7]=>[1,2,8,5,3,6,4,7]=>([(2,7),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[3,8,2,4,6,7,5,1]=>[1,2,4,6,7,3,8,5]=>[1,2,7,4,8,6,3,5]=>([(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[3,7,2,6,4,8,1,5]=>[1,5,2,6,3,7,4,8]=>[1,5,6,7,2,3,4,8]=>([(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[3,2,6,1,4,7,8,5]=>[1,4,7,8,2,6,3,5]=>[1,8,6,4,3,2,7,5]=>([(1,2),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,3,7,2,1,8,4,6]=>[1,8,2,3,7,4,6,5]=>[1,8,2,7,6,4,3,5]=>([(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,7,3,2,1,5,8,6]=>[1,5,8,2,3,4,7,6]=>[1,8,2,3,5,7,4,6]=>([(1,7),(2,7),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[8,7,6,1,3,4,2,5]=>[1,3,4,2,5,6,7,8]=>[1,4,3,2,5,6,7,8]=>([(5,6),(5,7),(6,7)],8)
[8,5,7,3,2,1,6,4]=>[1,6,2,3,4,5,7,8]=>[1,6,2,3,4,5,7,8]=>([(3,7),(4,7),(5,7),(6,7)],8)
[8,3,6,7,2,1,5,4]=>[1,5,2,3,6,7,4,8]=>[1,5,2,7,3,6,4,8]=>([(2,7),(3,5),(3,6),(4,6),(4,7),(5,6),(5,7)],8)
[3,7,8,6,2,1,5,4]=>[1,5,2,3,7,8,4,6]=>[1,5,2,8,3,4,7,6]=>([(1,6),(2,3),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[8,7,6,3,5,2,4,1]=>[1,2,4,3,5,6,7,8]=>[1,2,4,3,5,6,7,8]=>([(6,7)],8)
[8,5,3,7,1,6,2,4]=>[1,6,2,4,3,7,5,8]=>[1,6,4,2,7,3,5,8]=>([(2,3),(2,7),(3,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,5,7,2,1,3,6,4]=>[1,3,6,2,4,5,7,8]=>[1,6,3,2,4,5,7,8]=>([(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[8,2,6,7,1,3,5,4]=>[1,3,5,2,6,7,4,8]=>[1,5,3,7,2,6,4,8]=>([(2,6),(2,7),(3,4),(3,5),(4,5),(4,7),(5,6),(6,7)],8)
[8,3,6,1,7,5,2,4]=>[1,7,2,4,3,6,5,8]=>[1,7,4,2,6,3,5,8]=>([(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[4,6,1,8,7,2,5,3]=>[1,8,2,5,3,4,6,7]=>[1,8,5,3,2,4,6,7]=>([(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,2,6,5,7,4,1,3]=>[1,3,2,6,4,5,7,8]=>[1,3,2,6,4,5,7,8]=>([(3,4),(5,7),(6,7)],8)
[2,1,7,8,5,6,4,3]=>[1,7,8,2,3,4,5,6]=>[1,8,2,3,4,5,7,6]=>([(1,7),(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[8,2,5,7,6,4,3,1]=>[1,2,5,7,3,4,6,8]=>[1,2,7,3,5,4,6,8]=>([(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[2,7,6,8,5,4,1,3]=>[1,3,2,7,4,5,6,8]=>[1,3,2,7,4,5,6,8]=>([(2,3),(4,7),(5,7),(6,7)],8)
[1,7,4,8,2,6,5,3]=>[1,7,2,6,3,4,8,5]=>[1,7,6,3,8,2,4,5]=>([(1,3),(1,6),(1,7),(2,3),(2,6),(2,7),(3,5),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,7,8,1,6,5,2,4]=>[1,6,2,4,3,7,8,5]=>[1,6,4,2,8,3,7,5]=>([(1,4),(1,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(5,7),(6,7)],8)
[8,7,6,3,5,1,4,2]=>[1,4,2,3,5,6,7,8]=>[1,4,2,3,5,6,7,8]=>([(5,7),(6,7)],8)
[8,1,6,7,5,4,3,2]=>[1,6,7,2,3,4,5,8]=>[1,7,2,3,4,6,5,8]=>([(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[6,5,3,1,2,4,8,7]=>[1,2,4,8,3,5,6,7]=>[1,2,8,4,3,5,6,7]=>([(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[4,6,3,5,1,2,8,7]=>[1,2,8,3,5,4,6,7]=>[1,2,8,5,3,4,6,7]=>([(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,5,3,7,2,1,4,6]=>[1,4,6,2,3,7,5,8]=>[1,6,2,4,7,3,5,8]=>([(2,7),(3,4),(3,7),(4,6),(5,6),(5,7),(6,7)],8)
[6,8,1,4,5,7,3,2]=>[1,4,5,7,2,3,6,8]=>[1,7,2,4,5,3,6,8]=>([(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,7,2,4,5,1,3,6]=>[1,3,6,2,4,5,7,8]=>[1,6,3,2,4,5,7,8]=>([(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[6,1,2,4,5,3,8,7]=>[1,2,4,5,3,8,6,7]=>[1,2,5,4,3,8,6,7]=>([(2,7),(3,7),(4,5),(4,6),(5,6)],8)
[5,6,3,2,1,4,8,7]=>[1,4,8,2,3,5,6,7]=>[1,8,2,4,3,5,6,7]=>([(1,7),(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[5,4,3,6,1,2,8,7]=>[1,2,8,3,6,4,5,7]=>[1,2,8,6,4,3,5,7]=>([(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,3,1,4,5,2,8,7]=>[1,4,5,2,8,3,6,7]=>[1,5,8,4,2,3,6,7]=>([(1,7),(2,7),(3,4),(3,5),(3,6),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,1,6,4,5,2,8,7]=>[1,6,2,8,3,4,5,7]=>[1,6,8,3,4,2,5,7]=>([(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[8,3,7,4,5,1,2,6]=>[1,2,6,3,7,4,5,8]=>[1,2,6,7,4,3,5,8]=>([(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[5,8,7,4,2,6,3,1]=>[1,2,6,3,4,5,8,7]=>[1,2,6,3,4,5,8,7]=>([(2,3),(4,7),(5,7),(6,7)],8)
[2,8,7,4,1,6,3,5]=>[1,6,2,8,3,5,4,7]=>[1,6,8,5,3,2,4,7]=>([(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[8,1,7,4,2,6,3,5]=>[1,7,2,6,3,5,4,8]=>[1,7,6,5,3,2,4,8]=>([(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,7,8,4,5,1,2,6]=>[1,2,6,3,7,8,4,5]=>[1,2,6,8,4,3,7,5]=>([(2,6),(2,7),(3,4),(3,5),(3,6),(4,5),(4,7),(5,7),(6,7)],8)
[2,1,8,7,5,3,4,6]=>[1,8,2,3,4,6,5,7]=>[1,8,2,3,6,4,5,7]=>([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,1,6,8,5,7,3,4]=>[1,6,8,2,3,4,5,7]=>[1,8,2,3,4,6,5,7]=>([(1,7),(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[5,6,3,8,1,7,2,4]=>[1,7,2,4,3,8,5,6]=>[1,7,4,2,8,5,3,6]=>([(1,4),(1,7),(2,5),(2,7),(3,4),(3,6),(3,7),(4,6),(5,6),(5,7),(6,7)],8)
[3,7,6,4,5,8,2,1]=>[1,2,3,7,4,5,8,6]=>[1,2,3,7,4,8,5,6]=>([(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[8,5,7,4,1,6,3,2]=>[1,6,2,3,4,5,7,8]=>[1,6,2,3,4,5,7,8]=>([(3,7),(4,7),(5,7),(6,7)],8)
[5,1,8,4,7,6,2,3]=>[1,8,2,3,4,7,5,6]=>[1,8,2,3,7,5,4,6]=>([(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,5,8,4,7,6,1,3]=>[1,3,2,5,8,4,7,6]=>[1,3,2,8,5,7,4,6]=>([(1,2),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[2,4,8,3,5,6,7,1]=>[1,2,4,8,3,5,6,7]=>[1,2,8,4,3,5,6,7]=>([(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[4,1,8,3,5,6,7,2]=>[1,8,2,3,5,6,7,4]=>[1,8,2,7,3,5,6,4]=>([(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,8,4,2,5,6,7,1]=>[1,2,5,6,7,3,8,4]=>[1,2,7,8,5,6,3,4]=>([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[8,4,1,3,5,6,7,2]=>[1,3,5,6,7,2,4,8]=>[1,7,3,2,5,6,4,8]=>([(2,3),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,5,8,4,3,6,1,2]=>[1,2,3,6,4,5,8,7]=>[1,2,3,6,4,5,8,7]=>([(3,4),(5,7),(6,7)],8)
[6,5,3,8,4,1,7,2]=>[1,7,2,3,8,4,5,6]=>[1,7,2,8,4,5,3,6]=>([(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[2,1,5,8,4,6,7,3]=>[1,5,8,2,3,4,6,7]=>[1,8,2,3,5,4,6,7]=>([(1,7),(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[2,1,4,8,3,6,7,5]=>[1,4,8,2,3,6,7,5]=>[1,8,2,4,7,3,6,5]=>([(1,7),(2,5),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,4,3,8,2,1,7,5]=>[1,7,2,3,8,4,5,6]=>[1,7,2,8,4,5,3,6]=>([(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[7,3,8,4,2,6,1,5]=>[1,5,2,6,3,8,4,7]=>[1,5,6,8,2,3,4,7]=>([(1,7),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8)
[3,1,8,2,5,6,7,4]=>[1,8,2,5,6,7,3,4]=>[1,8,7,3,2,5,6,4]=>([(1,2),(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,3,8,1,5,6,7,4]=>[1,5,6,7,2,3,8,4]=>[1,7,2,8,5,6,3,4]=>([(1,7),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[4,3,8,2,5,6,7,1]=>[1,2,5,6,7,3,8,4]=>[1,2,7,8,5,6,3,4]=>([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[4,8,2,3,5,6,7,1]=>[1,2,3,5,6,7,4,8]=>[1,2,3,7,5,6,4,8]=>([(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,8,2,1,5,6,7,4]=>[1,5,6,7,2,3,8,4]=>[1,7,2,8,5,6,3,4]=>([(1,7),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[2,8,1,3,5,6,7,4]=>[1,3,5,6,7,2,8,4]=>[1,7,3,8,5,6,2,4]=>([(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,1,2,3,5,6,7,4]=>[1,2,3,5,6,7,4,8]=>[1,2,3,7,5,6,4,8]=>([(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,8,2,4,3,6,1,5]=>[1,5,2,4,3,6,7,8]=>[1,5,4,2,3,6,7,8]=>([(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,8,3,2,4,1,7,5]=>[1,7,2,4,3,5,6,8]=>[1,7,4,2,3,5,6,8]=>([(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,7,3,8,1,4,2,6]=>[1,4,2,6,3,8,5,7]=>[1,4,6,2,8,3,5,7]=>([(1,7),(2,3),(2,5),(3,6),(4,5),(4,7),(5,6),(6,7)],8)
[7,1,8,4,5,3,2,6]=>[1,8,2,6,3,4,5,7]=>[1,8,6,3,4,2,5,7]=>([(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,7,8,4,5,3,1,6]=>[1,6,2,7,8,3,4,5]=>[1,6,8,3,4,2,7,5]=>([(1,4),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(6,7)],8)
[8,7,1,4,3,6,2,5]=>[1,4,2,5,3,6,7,8]=>[1,4,5,2,3,6,7,8]=>([(4,6),(4,7),(5,6),(5,7)],8)
[3,8,7,4,2,6,1,5]=>[1,5,2,6,3,8,4,7]=>[1,5,6,8,2,3,4,7]=>([(1,7),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8)
[5,7,8,4,3,6,2,1]=>[1,2,3,6,4,5,7,8]=>[1,2,3,6,4,5,7,8]=>([(5,7),(6,7)],8)
[5,6,3,8,4,2,7,1]=>[1,2,7,3,8,4,5,6]=>[1,2,7,8,4,5,3,6]=>([(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[8,6,3,1,4,2,7,5]=>[1,4,2,7,3,5,6,8]=>[1,4,7,2,3,5,6,8]=>([(2,7),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[7,5,3,8,2,4,1,6]=>[1,6,2,4,3,8,5,7]=>[1,6,4,2,8,3,5,7]=>([(1,6),(2,5),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7)],8)
[2,4,3,1,8,5,7,6]=>[1,8,2,4,3,5,7,6]=>[1,8,4,2,3,7,5,6]=>([(1,6),(1,7),(2,6),(2,7),(3,5),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[4,1,3,2,6,8,7,5]=>[1,3,2,6,8,4,5,7]=>[1,3,2,8,4,6,5,7]=>([(1,2),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[7,5,3,6,2,8,1,4]=>[1,4,2,8,3,6,5,7]=>[1,4,8,2,6,3,5,7]=>([(1,7),(2,3),(2,7),(3,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,6,3,5,1,2,7,4]=>[1,2,7,3,5,4,6,8]=>[1,2,7,5,3,4,6,8]=>([(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,8,3,2,6,1,7,4]=>[1,7,2,6,3,4,5,8]=>[1,7,6,3,4,2,5,8]=>([(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,5,3,8,6,2,7,1]=>[1,2,7,3,8,4,5,6]=>[1,2,7,8,4,5,3,6]=>([(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[3,5,8,4,7,6,2,1]=>[1,2,3,5,8,4,7,6]=>[1,2,3,8,5,7,4,6]=>([(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[5,8,2,4,7,6,1,3]=>[1,3,2,4,7,5,8,6]=>[1,3,2,4,7,8,5,6]=>([(2,3),(4,6),(4,7),(5,6),(5,7)],8)
[8,7,5,4,1,6,2,3]=>[1,6,2,3,4,5,7,8]=>[1,6,2,3,4,5,7,8]=>([(3,7),(4,7),(5,7),(6,7)],8)
[2,7,6,4,5,8,1,3]=>[1,3,2,7,4,5,8,6]=>[1,3,2,7,4,8,5,6]=>([(1,2),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[7,1,6,4,5,8,2,3]=>[1,6,2,3,4,5,8,7]=>[1,6,2,3,4,5,8,7]=>([(1,2),(3,7),(4,7),(5,7),(6,7)],8)
[5,7,3,6,1,8,2,4]=>[1,8,2,4,3,6,5,7]=>[1,8,4,2,6,3,5,7]=>([(1,7),(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[2,1,7,6,5,8,3,4]=>[1,7,2,3,4,5,8,6]=>[1,7,2,3,4,8,5,6]=>([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[2,1,8,5,3,6,7,4]=>[1,8,2,3,6,7,4,5]=>[1,8,2,7,4,3,6,5]=>([(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,8,3,5,2,1,7,4]=>[1,7,2,3,5,4,6,8]=>[1,7,2,5,3,4,6,8]=>([(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,8,5,4,2,6,1,3]=>[1,3,2,6,4,5,7,8]=>[1,3,2,6,4,5,7,8]=>([(3,4),(5,7),(6,7)],8)
[8,1,4,2,5,6,7,3]=>[1,4,2,5,6,7,3,8]=>[1,4,7,2,5,6,3,8]=>([(2,3),(2,7),(3,6),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,8,4,1,5,6,7,3]=>[1,5,6,7,2,8,3,4]=>[1,7,8,3,5,6,2,4]=>([(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[3,4,2,8,5,6,7,1]=>[1,2,8,3,4,5,6,7]=>[1,2,8,3,4,5,6,7]=>([(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[2,4,1,8,5,6,7,3]=>[1,8,2,4,3,5,6,7]=>[1,8,4,2,3,5,6,7]=>([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,1,2,8,5,6,7,3]=>[1,2,8,3,4,5,6,7]=>[1,2,8,3,4,5,6,7]=>([(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[7,5,2,4,8,6,1,3]=>[1,3,2,4,8,5,6,7]=>[1,3,2,4,8,5,6,7]=>([(2,3),(4,7),(5,7),(6,7)],8)
[6,5,3,2,8,1,7,4]=>[1,7,2,8,3,4,5,6]=>[1,7,8,3,4,5,2,6]=>([(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[2,1,5,3,8,6,7,4]=>[1,5,2,3,8,4,6,7]=>[1,5,2,8,3,4,6,7]=>([(1,7),(2,7),(3,6),(4,6),(4,7),(5,6),(5,7)],8)
[6,4,3,5,8,1,7,2]=>[1,7,2,3,5,8,4,6]=>[1,7,2,8,3,4,5,6]=>([(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[7,3,5,4,8,6,1,2]=>[1,2,3,5,4,8,6,7]=>[1,2,3,5,4,8,6,7]=>([(3,4),(5,7),(6,7)],8)
[4,3,1,8,5,6,7,2]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>([(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[3,1,4,8,5,6,7,2]=>[1,4,8,2,3,5,6,7]=>[1,8,2,4,3,5,6,7]=>([(1,7),(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[6,5,3,7,2,8,4,1]=>[1,2,8,3,7,4,5,6]=>[1,2,8,7,4,5,3,6]=>([(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,3,7,4,5,8,2,1]=>[1,2,3,7,4,5,8,6]=>[1,2,3,7,4,8,5,6]=>([(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[5,1,7,4,8,6,3,2]=>[1,7,2,3,4,8,5,6]=>[1,7,2,3,8,5,4,6]=>([(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[2,5,7,4,8,6,3,1]=>[1,2,5,7,3,4,8,6]=>[1,2,7,3,5,8,4,6]=>([(2,7),(3,4),(3,7),(4,6),(5,6),(5,7),(6,7)],8)
[5,6,3,7,1,8,4,2]=>[1,8,2,3,7,4,5,6]=>[1,8,2,7,4,5,3,6]=>([(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,8,7,4,5,2,1,6]=>[1,6,2,3,8,4,5,7]=>[1,6,2,8,4,3,5,7]=>([(1,7),(2,6),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[3,7,5,4,8,6,2,1]=>[1,2,3,7,4,8,5,6]=>[1,2,3,7,8,5,4,6]=>([(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[5,7,1,4,8,6,2,3]=>[1,4,8,2,3,5,7,6]=>[1,8,2,4,3,7,5,6]=>([(1,7),(2,3),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,6,3,1,8,2,7,4]=>[1,8,2,7,3,4,5,6]=>[1,8,7,3,4,5,2,6]=>([(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,6,3,5,8,2,7,1]=>[1,2,7,3,5,8,4,6]=>[1,2,7,8,3,4,5,6]=>([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[4,6,3,8,1,2,7,5]=>[1,2,7,3,8,4,6,5]=>[1,2,7,8,6,4,3,5]=>([(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[3,6,2,5,4,8,1,7]=>[1,7,2,5,3,6,4,8]=>[1,7,5,6,2,3,4,8]=>([(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[3,5,2,4,7,1,8,6]=>[1,8,2,4,7,3,5,6]=>[1,8,7,2,3,5,4,6]=>([(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,2,5,8,3,7,6,1]=>[1,2,5,8,3,7,4,6]=>[1,2,8,7,5,4,3,6]=>([(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,2,6,5,3,8,1,7]=>[1,7,2,6,3,8,4,5]=>[1,7,6,8,4,2,3,5]=>([(1,4),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(5,6),(5,7),(6,7)],8)
[5,4,2,1,6,8,3,7]=>[1,6,8,2,3,7,4,5]=>[1,8,2,7,4,6,3,5]=>([(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,3,5,1,4,8,2,7]=>[1,4,8,2,7,3,5,6]=>[1,8,7,4,3,5,2,6]=>([(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,6,1,5,3,8,2,7]=>[1,5,2,7,3,8,4,6]=>[1,5,7,8,2,4,3,6]=>([(1,6),(1,7),(2,3),(2,4),(2,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[5,1,6,4,3,8,2,7]=>[1,6,2,7,3,8,4,5]=>[1,6,7,8,4,2,3,5]=>([(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,7),(5,7),(6,7)],8)
[5,4,3,2,7,1,8,6]=>[1,8,2,7,3,4,5,6]=>[1,8,7,3,4,5,2,6]=>([(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,4,3,8,2,7,6,1]=>[1,2,7,3,8,4,5,6]=>[1,2,7,8,4,5,3,6]=>([(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[4,3,6,2,8,7,5,1]=>[1,2,8,3,6,4,5,7]=>[1,2,8,6,4,3,5,7]=>([(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,3,7,6,2,1,8,5]=>[1,8,2,3,7,4,5,6]=>[1,8,2,7,4,5,3,6]=>([(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,4,3,1,7,2,8,5]=>[1,7,2,8,3,4,5,6]=>[1,7,8,3,4,5,2,6]=>([(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[7,5,4,3,1,8,2,6]=>[1,8,2,6,3,4,5,7]=>[1,8,6,3,4,2,5,7]=>([(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,8,5,7,4,6,1,3]=>[1,3,2,8,4,6,5,7]=>[1,3,2,8,6,4,5,7]=>([(1,2),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,5,8,7,1,4,6,2]=>[1,4,6,2,3,5,8,7]=>[1,6,2,4,3,5,8,7]=>([(1,2),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[1,5,4,8,7,3,6,2]=>[1,5,2,3,6,4,8,7]=>[1,5,2,6,3,4,8,7]=>([(1,2),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[6,4,3,8,1,7,5,2]=>[1,7,2,3,8,4,5,6]=>[1,7,2,8,4,5,3,6]=>([(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[4,3,7,1,8,6,5,2]=>[1,8,2,3,7,4,5,6]=>[1,8,2,7,4,5,3,6]=>([(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,8,3,7,6,5,2,1]=>[1,2,3,7,4,8,5,6]=>[1,2,3,7,8,5,4,6]=>([(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[5,3,8,7,6,4,2,1]=>[1,2,3,8,4,5,6,7]=>[1,2,3,8,4,5,6,7]=>([(3,7),(4,7),(5,7),(6,7)],8)
[7,5,3,1,8,6,4,2]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>([(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[1,8,6,5,3,7,4,2]=>[1,8,2,3,7,4,5,6]=>[1,8,2,7,4,5,3,6]=>([(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,6,1,8,7,3,5,2]=>[1,8,2,3,5,4,6,7]=>[1,8,2,5,3,4,6,7]=>([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,2,8,7,4,5,1,3]=>[1,3,2,8,4,5,6,7]=>[1,3,2,8,4,5,6,7]=>([(1,2),(3,7),(4,7),(5,7),(6,7)],8)
[7,6,2,8,4,1,3,5]=>[1,3,5,2,8,4,6,7]=>[1,5,3,8,2,4,6,7]=>([(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7)],8)
[1,7,6,4,8,3,2,5]=>[1,7,2,5,3,4,8,6]=>[1,7,5,3,2,8,4,6]=>([(1,2),(1,5),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,7,1,6,3,2,8,4]=>[1,6,2,8,3,4,5,7]=>[1,6,8,3,4,2,5,7]=>([(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[6,1,7,5,3,2,8,4]=>[1,7,2,8,3,4,5,6]=>[1,7,8,3,4,5,2,6]=>([(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[7,6,5,3,2,1,8,4]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>([(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[6,5,3,2,8,7,4,1]=>[1,2,8,3,4,5,6,7]=>[1,2,8,3,4,5,6,7]=>([(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[5,2,6,3,8,7,4,1]=>[1,2,6,3,8,4,5,7]=>[1,2,6,8,4,3,5,7]=>([(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[5,2,7,6,3,1,8,4]=>[1,8,2,7,3,4,5,6]=>[1,8,7,3,4,5,2,6]=>([(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,5,2,1,7,3,8,4]=>[1,7,2,3,8,4,5,6]=>[1,7,2,8,4,5,3,6]=>([(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[5,2,7,4,1,8,3,6]=>[1,8,2,7,3,6,4,5]=>[1,8,7,6,4,3,2,5]=>([(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,7,2,6,3,1,8,5]=>[1,8,2,6,3,4,7,5]=>[1,8,6,3,7,2,4,5]=>([(1,4),(1,6),(1,7),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[2,4,8,6,3,7,5,1]=>[1,2,4,8,3,7,5,6]=>[1,2,8,4,7,5,3,6]=>([(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,8,6,2,4,7,5,1]=>[1,2,4,7,3,8,5,6]=>[1,2,7,4,8,5,3,6]=>([(2,5),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[7,3,6,2,4,1,8,5]=>[1,8,2,4,3,6,5,7]=>[1,8,4,2,6,3,5,7]=>([(1,7),(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[3,6,7,2,1,4,8,5]=>[1,4,8,2,3,6,7,5]=>[1,8,2,4,7,3,6,5]=>([(1,7),(2,5),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,3,7,8,2,1,5,6]=>[1,5,6,2,3,7,8,4]=>[1,6,2,8,5,3,7,4]=>([(1,7),(2,5),(2,6),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[3,8,2,5,7,1,6,4]=>[1,6,2,5,7,3,8,4]=>[1,6,7,8,2,5,3,4]=>([(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,7),(5,7),(6,7)],8)
[8,3,6,2,7,1,5,4]=>[1,5,2,7,3,6,4,8]=>[1,5,7,6,2,3,4,8]=>([(2,3),(2,4),(2,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,8,3,6,2,1,5,4]=>[1,5,2,3,6,4,7,8]=>[1,5,2,6,3,4,7,8]=>([(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[8,7,3,6,2,5,4,1]=>[1,2,5,3,6,4,7,8]=>[1,2,5,6,3,4,7,8]=>([(4,6),(4,7),(5,6),(5,7)],8)
[5,8,3,7,1,6,2,4]=>[1,6,2,4,3,7,5,8]=>[1,6,4,2,7,3,5,8]=>([(2,3),(2,7),(3,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,5,2,8,1,7,4,3]=>[1,7,2,8,3,4,5,6]=>[1,7,8,3,4,5,2,6]=>([(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[5,2,7,1,8,6,4,3]=>[1,8,2,7,3,4,5,6]=>[1,8,7,3,4,5,2,6]=>([(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,8,2,7,6,4,3,1]=>[1,2,7,3,4,5,8,6]=>[1,2,7,3,4,8,5,6]=>([(2,7),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[6,2,8,7,5,4,3,1]=>[1,2,8,3,4,5,6,7]=>[1,2,8,3,4,5,6,7]=>([(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[7,6,2,1,8,5,4,3]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>([(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[6,1,7,2,8,5,4,3]=>[1,7,2,8,3,4,5,6]=>[1,7,8,3,4,5,2,6]=>([(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[7,5,1,8,2,6,4,3]=>[1,8,2,6,3,4,5,7]=>[1,8,6,3,4,2,5,7]=>([(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,7,1,8,6,2,5,3]=>[1,8,2,5,3,4,7,6]=>[1,8,5,3,2,7,4,6]=>([(1,5),(1,7),(2,3),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[7,8,3,1,6,5,2,4]=>[1,6,2,4,3,5,7,8]=>[1,6,4,2,3,5,7,8]=>([(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,7,4,6,1,5,3,2]=>[1,5,2,3,4,6,7,8]=>[1,5,2,3,4,6,7,8]=>([(4,7),(5,7),(6,7)],8)
[8,5,7,1,6,4,3,2]=>[1,6,2,3,4,5,7,8]=>[1,6,2,3,4,5,7,8]=>([(3,7),(4,7),(5,7),(6,7)],8)
[6,8,1,7,5,4,3,2]=>[1,7,2,3,4,5,6,8]=>[1,7,2,3,4,5,6,8]=>([(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[7,1,8,6,5,4,3,2]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>([(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[5,4,2,3,7,6,1,8]=>[1,8,2,3,7,4,5,6]=>[1,8,2,7,4,5,3,6]=>([(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,4,2,7,3,5,1,8]=>[1,8,2,7,3,5,4,6]=>[1,8,7,5,3,4,2,6]=>([(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,4,2,6,3,5,1,8]=>[1,8,2,6,3,5,4,7]=>[1,8,6,5,3,2,4,7]=>([(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,2,7,6,4,5,1,8]=>[1,8,2,7,3,4,5,6]=>[1,8,7,3,4,5,2,6]=>([(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,7,2,6,3,5,1,8]=>[1,8,2,6,3,5,4,7]=>[1,8,6,5,3,2,4,7]=>([(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,7,6,2,3,4,1,8]=>[1,8,2,3,4,5,7,6]=>[1,8,2,3,4,7,5,6]=>([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,6,5,2,3,8,4,7]=>[1,6,2,3,8,4,7,5]=>[1,6,2,8,7,3,4,5]=>([(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6)],8)
[6,8,5,2,3,1,4,7]=>[1,4,7,2,3,5,6,8]=>[1,7,2,4,3,5,6,8]=>([(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[5,8,6,2,3,1,4,7]=>[1,4,7,2,3,5,8,6]=>[1,7,2,4,3,8,5,6]=>([(1,7),(2,5),(2,6),(3,4),(3,7),(4,7),(5,7),(6,7)],8)
[3,2,8,6,4,1,5,7]=>[1,5,7,2,8,3,4,6]=>[1,7,8,3,5,4,2,6]=>([(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[3,2,1,6,4,8,5,7]=>[1,6,2,3,4,8,5,7]=>[1,6,2,3,8,4,5,7]=>([(1,7),(2,7),(3,6),(4,6),(4,7),(5,6),(5,7)],8)
[7,1,5,2,8,3,4,6]=>[1,5,2,8,3,4,6,7]=>[1,5,8,3,2,4,6,7]=>([(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[1,8,5,2,7,3,4,6]=>[1,8,2,7,3,4,6,5]=>[1,8,7,3,6,4,2,5]=>([(1,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,8,6,7,2,3,4,5]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>([(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[8,1,6,7,2,3,4,5]=>[1,6,7,2,3,4,5,8]=>[1,7,2,3,4,6,5,8]=>([(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[7,1,6,8,2,3,4,5]=>[1,6,8,2,3,4,5,7]=>[1,8,2,3,4,6,5,7]=>([(1,7),(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[3,2,1,7,8,4,5,6]=>[1,7,8,2,3,4,5,6]=>[1,8,2,3,4,5,7,6]=>([(1,7),(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[5,8,7,2,1,3,4,6]=>[1,3,4,6,2,5,8,7]=>[1,6,3,4,2,5,8,7]=>([(1,2),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,7,6,8,2,3,4,5]=>[1,7,2,3,4,5,6,8]=>[1,7,2,3,4,5,6,8]=>([(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[6,5,8,2,3,1,4,7]=>[1,4,7,2,3,5,8,6]=>[1,7,2,4,3,8,5,6]=>([(1,7),(2,5),(2,6),(3,4),(3,7),(4,7),(5,7),(6,7)],8)
[8,5,7,2,1,3,4,6]=>[1,3,4,6,2,5,7,8]=>[1,6,3,4,2,5,7,8]=>([(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,4,2,8,3,1,5,7]=>[1,5,7,2,8,3,4,6]=>[1,7,8,3,5,4,2,6]=>([(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[3,2,5,4,1,8,6,7]=>[1,8,2,5,3,4,6,7]=>[1,8,5,3,2,4,6,7]=>([(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,5,2,3,1,8,6,7]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>([(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[5,4,2,3,1,8,6,7]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>([(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[6,4,2,1,3,8,5,7]=>[1,3,8,2,4,5,7,6]=>[1,8,3,2,4,7,5,6]=>([(1,7),(2,3),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,4,2,1,8,3,5,6]=>[1,8,2,3,5,6,4,7]=>[1,8,2,6,3,5,4,7]=>([(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,4,2,1,7,3,5,6]=>[1,7,2,3,5,6,4,8]=>[1,7,2,6,3,5,4,8]=>([(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,4,2,8,7,3,5,6]=>[1,4,2,8,3,5,6,7]=>[1,4,8,2,3,5,6,7]=>([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[1,5,8,2,7,3,4,6]=>[1,5,8,2,7,3,4,6]=>[1,8,7,3,5,4,2,6]=>([(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,5,1,2,7,3,4,6]=>[1,2,7,3,4,6,5,8]=>[1,2,7,3,6,4,5,8]=>([(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,5,1,2,8,3,4,6]=>[1,2,8,3,4,6,5,7]=>[1,2,8,3,6,4,5,7]=>([(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,5,1,2,3,8,4,7]=>[1,2,3,8,4,7,5,6]=>[1,2,3,8,7,5,4,6]=>([(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,6,2,1,3,8,5,7]=>[1,3,8,2,4,6,5,7]=>[1,8,3,2,6,4,5,7]=>([(1,7),(2,3),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,2,7,1,8,4,5,6]=>[1,8,2,7,3,4,5,6]=>[1,8,7,3,4,5,2,6]=>([(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,7,2,1,8,3,5,6]=>[1,8,2,3,5,6,4,7]=>[1,8,2,6,3,5,4,7]=>([(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,6,1,8,2,3,4,5]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>([(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[8,6,1,7,2,3,4,5]=>[1,7,2,3,4,5,6,8]=>[1,7,2,3,4,5,6,8]=>([(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[1,6,8,7,2,3,4,5]=>[1,6,8,2,3,4,5,7]=>[1,8,2,3,4,6,5,7]=>([(1,7),(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[1,7,8,6,2,3,4,5]=>[1,7,8,2,3,4,5,6]=>[1,8,2,3,4,5,7,6]=>([(1,7),(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[7,8,1,6,2,3,4,5]=>[1,6,2,3,4,5,7,8]=>[1,6,2,3,4,5,7,8]=>([(3,7),(4,7),(5,7),(6,7)],8)
[6,8,1,7,2,3,4,5]=>[1,7,2,3,4,5,6,8]=>[1,7,2,3,4,5,6,8]=>([(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[4,8,2,1,7,3,5,6]=>[1,7,2,3,5,6,4,8]=>[1,7,2,6,3,5,4,8]=>([(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,2,8,1,7,4,5,6]=>[1,7,2,8,3,4,5,6]=>[1,7,8,3,4,5,2,6]=>([(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[3,2,1,8,7,4,5,6]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>([(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[5,1,8,2,7,3,4,6]=>[1,8,2,7,3,4,6,5]=>[1,8,7,3,6,4,2,5]=>([(1,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,1,8,7,2,3,4,5]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>([(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[8,1,7,6,2,3,4,5]=>[1,7,2,3,4,5,6,8]=>[1,7,2,3,4,5,6,8]=>([(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[1,8,7,6,2,3,4,5]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>([(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[6,3,5,1,2,4,8,7]=>[1,2,4,8,3,5,6,7]=>[1,2,8,4,3,5,6,7]=>([(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[8,3,7,5,2,1,4,6]=>[1,4,6,2,3,7,5,8]=>[1,6,2,4,7,3,5,8]=>([(2,7),(3,4),(3,7),(4,6),(5,6),(5,7),(6,7)],8)
[6,3,7,5,1,8,4,2]=>[1,8,2,3,7,4,5,6]=>[1,8,2,7,4,5,3,6]=>([(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,5,2,7,1,8,3,4]=>[1,8,2,7,3,4,5,6]=>[1,8,7,3,4,5,2,6]=>([(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,5,2,7,4,1,3,6]=>[1,3,6,2,7,4,5,8]=>[1,6,3,7,4,2,5,8]=>([(2,5),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[2,6,1,5,4,3,8,7]=>[1,5,2,6,3,8,4,7]=>[1,5,6,8,2,3,4,7]=>([(1,7),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8)
[6,4,3,5,1,2,8,7]=>[1,2,8,3,5,4,6,7]=>[1,2,8,5,3,4,6,7]=>([(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,3,1,4,6,2,8,7]=>[1,4,6,2,8,3,5,7]=>[1,6,8,4,3,2,5,7]=>([(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[3,1,4,6,5,2,8,7]=>[1,4,6,2,8,3,5,7]=>[1,6,8,4,3,2,5,7]=>([(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[5,7,4,6,2,8,3,1]=>[1,2,8,3,4,6,5,7]=>[1,2,8,3,6,4,5,7]=>([(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,1,8,5,7,3,4,6]=>[1,8,2,3,4,6,5,7]=>[1,8,2,3,6,4,5,7]=>([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,6,3,5,1,7,4,2]=>[1,7,2,3,5,4,6,8]=>[1,7,2,5,3,4,6,8]=>([(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,4,8,6,5,7,1,2]=>[1,2,3,4,8,5,7,6]=>[1,2,3,4,8,7,5,6]=>([(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,5,4,8,1,6,3,2]=>[1,6,2,3,4,8,5,7]=>[1,6,2,3,8,4,5,7]=>([(1,7),(2,7),(3,6),(4,6),(4,7),(5,6),(5,7)],8)
[2,5,4,6,7,1,8,3]=>[1,8,2,5,3,4,6,7]=>[1,8,5,3,2,4,6,7]=>([(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,4,6,3,7,5,8,1]=>[1,2,4,6,3,7,5,8]=>[1,2,6,4,7,3,5,8]=>([(3,6),(3,7),(4,5),(4,7),(5,6),(6,7)],8)
[4,1,6,3,8,5,7,2]=>[1,6,2,3,8,4,5,7]=>[1,6,2,8,4,3,5,7]=>([(1,7),(2,6),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[3,7,4,2,8,6,5,1]=>[1,2,8,3,7,4,5,6]=>[1,2,8,7,4,5,3,6]=>([(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,4,1,3,5,8,6,2]=>[1,3,5,8,2,4,6,7]=>[1,8,3,2,5,4,6,7]=>([(1,7),(2,7),(3,6),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[6,5,8,4,1,7,3,2]=>[1,7,2,3,4,5,8,6]=>[1,7,2,3,4,8,5,6]=>([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[7,4,3,8,2,1,6,5]=>[1,6,2,3,8,4,5,7]=>[1,6,2,8,4,3,5,7]=>([(1,7),(2,6),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[6,3,7,4,1,8,2,5]=>[1,8,2,5,3,7,4,6]=>[1,8,5,7,2,4,3,6]=>([(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[8,3,1,2,5,7,6,4]=>[1,2,5,7,3,4,6,8]=>[1,2,7,3,5,4,6,8]=>([(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[3,1,8,2,7,6,5,4]=>[1,8,2,7,3,4,5,6]=>[1,8,7,3,4,5,2,6]=>([(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,7,2,3,8,5,6,1]=>[1,2,3,8,4,7,5,6]=>[1,2,3,8,7,5,4,6]=>([(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,8,2,1,7,5,6,4]=>[1,7,2,3,8,4,5,6]=>[1,7,2,8,4,5,3,6]=>([(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[2,8,1,3,6,5,7,4]=>[1,3,6,2,8,4,5,7]=>[1,6,3,8,4,2,5,7]=>([(1,7),(2,5),(2,6),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[2,7,8,5,4,3,1,6]=>[1,6,2,7,8,3,4,5]=>[1,6,8,3,4,2,7,5]=>([(1,4),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(6,7)],8)
[8,7,1,6,3,4,2,5]=>[1,6,2,5,3,4,7,8]=>[1,6,5,3,2,4,7,8]=>([(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,8,6,7,2,4,1,5]=>[1,5,2,4,3,8,6,7]=>[1,5,4,2,3,8,6,7]=>([(1,5),(2,5),(3,6),(3,7),(4,6),(4,7),(6,7)],8)
[5,3,8,7,4,2,6,1]=>[1,2,6,3,8,4,5,7]=>[1,2,6,8,4,3,5,7]=>([(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[4,3,8,7,2,1,6,5]=>[1,6,2,3,8,4,5,7]=>[1,6,2,8,4,3,5,7]=>([(1,7),(2,6),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[8,3,6,1,4,2,7,5]=>[1,4,2,7,3,6,5,8]=>[1,4,7,2,6,3,5,8]=>([(2,3),(2,7),(3,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,3,5,8,2,4,1,6]=>[1,6,2,4,3,5,8,7]=>[1,6,4,2,3,5,8,7]=>([(1,2),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,3,4,1,8,5,7,6]=>[1,8,2,3,4,5,7,6]=>[1,8,2,3,4,7,5,6]=>([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,1,3,2,6,7,8,5]=>[1,3,2,6,7,8,4,5]=>[1,3,2,8,4,6,7,5]=>([(1,2),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,3,5,6,2,7,1,4]=>[1,4,2,7,3,5,6,8]=>[1,4,7,2,3,5,6,8]=>([(2,7),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[5,3,6,1,8,7,2,4]=>[1,8,2,4,3,6,5,7]=>[1,8,4,2,6,3,5,7]=>([(1,7),(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[5,6,2,8,7,4,1,3]=>[1,3,2,8,4,5,6,7]=>[1,3,2,8,4,5,6,7]=>([(1,2),(3,7),(4,7),(5,7),(6,7)],8)
[7,8,5,6,1,4,2,3]=>[1,4,2,3,5,6,7,8]=>[1,4,2,3,5,6,7,8]=>([(5,7),(6,7)],8)
[2,8,6,5,4,7,1,3]=>[1,3,2,8,4,7,5,6]=>[1,3,2,8,7,5,4,6]=>([(1,2),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,1,6,4,5,7,2,3]=>[1,6,2,3,4,5,7,8]=>[1,6,2,3,4,5,7,8]=>([(3,7),(4,7),(5,7),(6,7)],8)
[5,8,3,6,1,7,2,4]=>[1,7,2,4,3,6,5,8]=>[1,7,4,2,6,3,5,8]=>([(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[2,1,8,6,5,7,3,4]=>[1,8,2,3,4,5,7,6]=>[1,8,2,3,4,7,5,6]=>([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,7,3,5,2,1,8,4]=>[1,8,2,3,5,4,6,7]=>[1,8,2,5,3,4,6,7]=>([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,1,4,2,5,6,8,3]=>[1,4,2,5,6,8,3,7]=>[1,4,8,2,5,6,3,7]=>([(1,7),(2,3),(2,7),(3,6),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,7,4,1,6,5,8,3]=>[1,6,2,7,3,4,5,8]=>[1,6,7,3,4,2,5,8]=>([(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[4,6,1,2,8,7,3,5]=>[1,2,8,3,5,4,6,7]=>[1,2,8,5,3,4,6,7]=>([(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,4,1,5,8,7,6,3]=>[1,5,8,2,4,3,6,7]=>[1,8,4,2,5,3,6,7]=>([(1,7),(2,7),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[4,1,2,5,8,6,7,3]=>[1,2,5,8,3,4,6,7]=>[1,2,8,3,5,4,6,7]=>([(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[6,4,2,1,5,8,7,3]=>[1,5,8,2,3,4,6,7]=>[1,8,2,3,5,4,6,7]=>([(1,7),(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[8,5,2,4,6,1,7,3]=>[1,7,2,4,6,3,5,8]=>[1,7,6,2,3,4,5,8]=>([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,5,3,2,6,8,1,4]=>[1,4,2,6,8,3,5,7]=>[1,4,8,2,3,6,5,7]=>([(1,7),(2,5),(2,6),(3,4),(3,7),(4,7),(5,7),(6,7)],8)
[2,1,5,3,6,8,7,4]=>[1,5,2,3,6,8,4,7]=>[1,5,2,8,3,6,4,7]=>([(1,7),(2,5),(3,5),(3,7),(4,6),(4,7),(5,6),(6,7)],8)
[7,3,5,4,6,1,8,2]=>[1,8,2,3,5,4,6,7]=>[1,8,2,5,3,4,6,7]=>([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,3,1,5,7,6,8,2]=>[1,5,7,2,3,4,6,8]=>[1,7,2,3,5,4,6,8]=>([(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[4,5,2,6,3,1,8,7]=>[1,8,2,6,3,4,5,7]=>[1,8,6,3,4,2,5,7]=>([(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,5,2,1,4,3,8,7]=>[1,4,2,3,8,5,6,7]=>[1,4,2,3,8,5,6,7]=>([(1,7),(2,7),(3,7),(4,6),(5,6)],8)
[6,5,2,7,4,8,3,1]=>[1,2,7,3,4,8,5,6]=>[1,2,7,3,8,5,4,6]=>([(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[8,5,2,7,4,1,6,3]=>[1,6,2,7,3,4,5,8]=>[1,6,7,3,4,2,5,8]=>([(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[6,3,7,5,2,8,4,1]=>[1,2,8,3,7,4,5,6]=>[1,2,8,7,4,5,3,6]=>([(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,1,6,5,4,2,8,7]=>[1,6,2,8,3,4,5,7]=>[1,6,8,3,4,2,5,7]=>([(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[5,6,3,2,4,1,8,7]=>[1,8,2,4,3,5,6,7]=>[1,8,4,2,3,5,6,7]=>([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,6,2,4,1,5,8,7]=>[1,5,8,2,4,3,6,7]=>[1,8,4,2,5,3,6,7]=>([(1,7),(2,7),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[6,7,2,3,4,8,5,1]=>[1,2,3,4,8,5,6,7]=>[1,2,3,4,8,5,6,7]=>([(4,7),(5,7),(6,7)],8)
[8,7,2,3,4,1,6,5]=>[1,6,2,3,4,5,7,8]=>[1,6,2,3,4,5,7,8]=>([(3,7),(4,7),(5,7),(6,7)],8)
[2,5,7,3,8,6,4,1]=>[1,2,5,7,3,8,4,6]=>[1,2,7,8,5,4,3,6]=>([(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[7,6,1,3,5,8,4,2]=>[1,3,5,8,2,4,6,7]=>[1,8,3,2,5,4,6,7]=>([(1,7),(2,7),(3,6),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[3,6,7,4,1,8,5,2]=>[1,8,2,3,6,7,4,5]=>[1,8,2,7,4,3,6,5]=>([(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,6,3,7,4,8,1,2]=>[1,2,3,7,4,8,5,6]=>[1,2,3,7,8,5,4,6]=>([(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[2,1,6,7,4,8,5,3]=>[1,6,7,2,3,4,8,5]=>[1,7,2,3,8,6,4,5]=>([(1,7),(2,7),(3,4),(3,5),(3,6),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,1,8,7,4,3,6,5]=>[1,8,2,3,6,4,5,7]=>[1,8,2,6,4,3,5,7]=>([(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,8,3,7,4,2,6,1]=>[1,2,6,3,7,4,5,8]=>[1,2,6,7,4,3,5,8]=>([(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[3,8,7,4,1,2,6,5]=>[1,2,6,3,8,4,5,7]=>[1,2,6,8,4,3,5,7]=>([(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[7,8,1,3,5,2,6,4]=>[1,3,5,2,6,4,7,8]=>[1,5,3,6,2,4,7,8]=>([(3,6),(3,7),(4,5),(4,7),(5,6),(6,7)],8)
[5,8,7,3,2,6,1,4]=>[1,4,2,6,3,5,8,7]=>[1,4,6,2,3,5,8,7]=>([(1,2),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[2,8,6,3,1,5,7,4]=>[1,5,7,2,8,3,4,6]=>[1,7,8,3,5,4,2,6]=>([(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[8,1,6,3,2,5,4,7]=>[1,6,2,5,3,4,7,8]=>[1,6,5,3,2,4,7,8]=>([(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,8,4,1,6,3,7,5]=>[1,6,2,8,3,7,4,5]=>[1,6,8,7,4,2,3,5]=>([(1,4),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(5,6),(5,7),(6,7)],8)
[4,8,1,2,7,6,3,5]=>[1,2,7,3,5,4,8,6]=>[1,2,7,5,3,8,4,6]=>([(2,3),(2,7),(3,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,8,4,2,5,7,1,6]=>[1,6,2,5,7,3,8,4]=>[1,6,7,8,2,5,3,4]=>([(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,7),(5,7),(6,7)],8)
[6,8,3,5,2,7,4,1]=>[1,2,7,3,5,4,6,8]=>[1,2,7,5,3,4,6,8]=>([(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,1,5,3,8,7,6,4]=>[1,5,2,3,8,4,6,7]=>[1,5,2,8,3,4,6,7]=>([(1,7),(2,7),(3,6),(4,6),(4,7),(5,6),(5,7)],8)
[6,5,3,2,8,7,1,4]=>[1,4,2,8,3,5,6,7]=>[1,4,8,2,3,5,6,7]=>([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[7,5,2,4,8,1,6,3]=>[1,6,2,4,8,3,5,7]=>[1,6,8,2,3,4,5,7]=>([(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[2,4,1,8,7,6,5,3]=>[1,8,2,4,3,5,6,7]=>[1,8,4,2,3,5,6,7]=>([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,4,2,1,7,5,3,6]=>[1,7,2,3,6,4,5,8]=>[1,7,2,6,4,3,5,8]=>([(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,3,1,8,6,7,5,2]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>([(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[3,1,4,8,6,5,7,2]=>[1,4,8,2,3,5,7,6]=>[1,8,2,4,3,7,5,6]=>([(1,7),(2,3),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,1,6,5,4,8,2,3]=>[1,6,2,3,4,8,5,7]=>[1,6,2,3,8,4,5,7]=>([(1,7),(2,7),(3,6),(4,6),(4,7),(5,6),(5,7)],8)
[3,7,5,6,8,4,2,1]=>[1,2,3,7,4,5,6,8]=>[1,2,3,7,4,5,6,8]=>([(4,7),(5,7),(6,7)],8)
[5,7,1,6,8,2,4,3]=>[1,6,8,2,4,3,5,7]=>[1,8,4,2,3,6,5,7]=>([(1,7),(2,3),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,6,2,5,1,7,4,3]=>[1,7,2,5,3,4,6,8]=>[1,7,5,3,2,4,6,8]=>([(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,6,2,1,8,7,3,4]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>([(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[4,6,2,5,8,3,7,1]=>[1,2,5,8,3,7,4,6]=>[1,2,8,7,5,4,3,6]=>([(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,5,2,6,3,8,1,4]=>[1,4,2,6,3,8,5,7]=>[1,4,6,2,8,3,5,7]=>([(1,7),(2,3),(2,5),(3,6),(4,5),(4,7),(5,6),(6,7)],8)
[4,1,2,3,6,8,7,5]=>[1,2,3,6,8,4,5,7]=>[1,2,3,8,4,6,5,7]=>([(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[2,4,3,1,8,5,6,7]=>[1,8,2,4,3,5,6,7]=>[1,8,4,2,3,5,6,7]=>([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,5,2,8,3,4,6,1]=>[1,2,8,3,4,6,5,7]=>[1,2,8,3,6,4,5,7]=>([(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,6,2,8,4,3,1,7]=>[1,7,2,8,3,4,5,6]=>[1,7,8,3,4,5,2,6]=>([(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[4,7,2,8,1,5,3,6]=>[1,5,2,8,3,6,4,7]=>[1,5,8,6,2,3,4,7]=>([(1,7),(2,3),(2,4),(2,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,7,2,1,4,5,6,3]=>[1,4,5,6,2,3,7,8]=>[1,6,2,4,5,3,7,8]=>([(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,6,8,7,1,5,4,2]=>[1,5,2,3,6,8,4,7]=>[1,5,2,8,3,6,4,7]=>([(1,7),(2,5),(3,5),(3,7),(4,6),(4,7),(5,6),(6,7)],8)
[5,7,8,6,3,4,1,2]=>[1,2,3,4,5,7,8,6]=>[1,2,3,4,5,8,7,6]=>([(5,6),(5,7),(6,7)],8)
[7,1,8,5,4,3,6,2]=>[1,8,2,3,6,4,5,7]=>[1,8,2,6,4,3,5,7]=>([(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,7,8,4,5,3,6,1]=>[1,2,7,8,3,6,4,5]=>[1,2,8,6,4,3,7,5]=>([(2,5),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,7,3,8,1,4,6,2]=>[1,4,6,2,3,8,5,7]=>[1,6,2,4,8,3,5,7]=>([(1,7),(2,5),(3,5),(3,7),(4,6),(4,7),(5,6),(6,7)],8)
[2,1,7,8,5,4,6,3]=>[1,7,8,2,3,4,6,5]=>[1,8,2,3,6,4,7,5]=>([(1,7),(2,7),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[6,5,3,8,4,1,2,7]=>[1,2,7,3,8,4,5,6]=>[1,2,7,8,4,5,3,6]=>([(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[7,5,8,4,3,6,2,1]=>[1,2,3,6,4,5,8,7]=>[1,2,3,6,4,5,8,7]=>([(3,4),(5,7),(6,7)],8)
[4,1,8,3,6,5,2,7]=>[1,8,2,7,3,6,4,5]=>[1,8,7,6,4,3,2,5]=>([(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,4,8,1,7,2,5,6]=>[1,7,2,5,6,3,4,8]=>[1,7,6,3,2,5,4,8]=>([(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,1,8,2,4,7,6,5]=>[1,8,2,4,7,3,5,6]=>[1,8,7,2,3,5,4,6]=>([(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,3,8,1,4,6,7,5]=>[1,4,6,7,2,3,8,5]=>[1,7,2,4,8,6,3,5]=>([(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[4,3,8,2,5,1,7,6]=>[1,7,2,5,3,8,4,6]=>[1,7,5,8,2,4,3,6]=>([(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7)],8)
[6,3,8,4,2,5,7,1]=>[1,2,5,7,3,8,4,6]=>[1,2,7,8,5,4,3,6]=>([(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[7,4,3,8,2,5,1,6]=>[1,6,2,5,3,8,4,7]=>[1,6,5,8,2,3,4,7]=>([(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6)],8)
[2,1,4,8,3,5,7,6]=>[1,4,8,2,3,5,7,6]=>[1,8,2,4,3,7,5,6]=>([(1,7),(2,3),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,8,2,4,3,5,1,7]=>[1,7,2,4,3,5,6,8]=>[1,7,4,2,3,5,6,8]=>([(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,8,2,3,5,1,6,7]=>[1,6,7,2,3,5,4,8]=>[1,7,2,5,3,6,4,8]=>([(2,7),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[3,8,2,1,4,6,5,7]=>[1,4,6,2,3,8,5,7]=>[1,6,2,4,8,3,5,7]=>([(1,7),(2,5),(3,5),(3,7),(4,6),(4,7),(5,6),(6,7)],8)
[2,8,1,3,4,5,7,6]=>[1,3,4,5,7,2,8,6]=>[1,7,3,4,5,8,2,6]=>([(1,2),(1,7),(2,6),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,8,4,1,6,5,3,7]=>[1,6,2,8,3,7,4,5]=>[1,6,8,7,4,2,3,5]=>([(1,4),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(5,6),(5,7),(6,7)],8)
[2,8,4,1,6,5,7,3]=>[1,6,2,8,3,4,5,7]=>[1,6,8,3,4,2,5,7]=>([(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[2,8,7,6,1,4,3,5]=>[1,4,2,8,3,5,6,7]=>[1,4,8,2,3,5,6,7]=>([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[2,8,5,6,7,4,3,1]=>[1,2,8,3,4,5,6,7]=>[1,2,8,3,4,5,6,7]=>([(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[7,5,8,6,1,4,2,3]=>[1,4,2,3,5,8,6,7]=>[1,4,2,3,5,8,6,7]=>([(2,7),(3,7),(4,6),(5,6)],8)
[3,5,7,2,4,1,6,8]=>[1,6,8,2,4,3,5,7]=>[1,8,4,2,3,6,5,7]=>([(1,7),(2,3),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,5,8,2,4,1,6,3]=>[1,6,2,4,3,5,8,7]=>[1,6,4,2,3,5,8,7]=>([(1,2),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,8,5,3,4,7,6,1]=>[1,2,8,3,4,7,5,6]=>[1,2,8,3,7,5,4,6]=>([(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,8,5,3,4,1,7,6]=>[1,7,2,8,3,4,5,6]=>[1,7,8,3,4,5,2,6]=>([(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[2,8,7,6,1,4,5,3]=>[1,4,5,2,8,3,6,7]=>[1,5,8,4,2,3,6,7]=>([(1,7),(2,7),(3,4),(3,5),(3,6),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,8,5,3,6,1,7,4]=>[1,7,2,8,3,6,4,5]=>[1,7,8,6,4,3,2,5]=>([(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[2,8,5,6,7,4,1,3]=>[1,3,2,8,4,5,6,7]=>[1,3,2,8,4,5,6,7]=>([(1,2),(3,7),(4,7),(5,7),(6,7)],8)
[2,8,5,3,4,7,1,6]=>[1,6,2,8,3,4,7,5]=>[1,6,8,3,7,2,4,5]=>([(1,4),(1,5),(1,7),(2,4),(2,5),(2,7),(3,4),(3,6),(3,7),(4,6),(5,6),(5,7),(6,7)],8)
[2,8,5,3,4,6,7,1]=>[1,2,8,3,4,6,7,5]=>[1,2,8,3,7,4,6,5]=>([(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,5,7,2,4,6,1,8]=>[1,8,2,4,6,3,5,7]=>[1,8,6,2,3,4,5,7]=>([(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,5,2,7,3,1,4,8]=>[1,4,8,2,7,3,5,6]=>[1,8,7,4,3,5,2,6]=>([(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,5,2,8,3,1,7,4]=>[1,7,2,8,3,4,5,6]=>[1,7,8,3,4,5,2,6]=>([(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[6,5,2,8,3,1,4,7]=>[1,4,7,2,8,3,5,6]=>[1,7,8,4,3,5,2,6]=>([(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[7,5,8,6,1,4,3,2]=>[1,4,2,3,5,8,6,7]=>[1,4,2,3,5,8,6,7]=>([(2,7),(3,7),(4,6),(5,6)],8)
[6,5,8,2,1,3,7,4]=>[1,3,7,2,4,5,8,6]=>[1,7,3,2,4,8,5,6]=>([(1,7),(2,5),(2,6),(3,4),(3,7),(4,7),(5,7),(6,7)],8)
[3,5,6,2,1,8,7,4]=>[1,8,2,3,5,6,4,7]=>[1,8,2,6,3,5,4,7]=>([(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,5,7,6,1,4,8,2]=>[1,4,8,2,3,5,7,6]=>[1,8,2,4,3,7,5,6]=>([(1,7),(2,3),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,5,7,2,4,1,8,6]=>[1,8,2,4,3,5,7,6]=>[1,8,4,2,3,7,5,6]=>([(1,6),(1,7),(2,6),(2,7),(3,5),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[3,5,7,2,4,6,8,1]=>[1,2,4,6,8,3,5,7]=>[1,2,8,4,3,6,5,7]=>([(2,7),(3,6),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[6,5,2,7,3,1,8,4]=>[1,8,2,7,3,4,5,6]=>[1,8,7,3,4,5,2,6]=>([(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,1,2,3,7,6,8,5]=>[1,2,3,7,4,5,6,8]=>[1,2,3,7,4,5,6,8]=>([(4,7),(5,7),(6,7)],8)
[6,5,2,7,3,4,8,1]=>[1,2,7,3,4,8,5,6]=>[1,2,7,3,8,5,4,6]=>([(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[5,1,2,6,4,8,7,3]=>[1,2,6,3,4,8,5,7]=>[1,2,6,3,8,4,5,7]=>([(2,7),(3,6),(4,6),(4,7),(5,6),(5,7)],8)
[5,1,2,8,6,4,7,3]=>[1,2,8,3,4,7,5,6]=>[1,2,8,3,7,5,4,6]=>([(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,1,6,8,7,3,4,2]=>[1,6,8,2,3,4,5,7]=>[1,8,2,3,4,6,5,7]=>([(1,7),(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[6,5,2,8,3,7,4,1]=>[1,2,8,3,7,4,5,6]=>[1,2,8,7,4,5,3,6]=>([(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,1,2,3,8,7,5,6]=>[1,2,3,8,4,5,6,7]=>[1,2,3,8,4,5,6,7]=>([(3,7),(4,7),(5,7),(6,7)],8)
[4,1,2,3,8,6,5,7]=>[1,2,3,8,4,5,7,6]=>[1,2,3,8,4,7,5,6]=>([(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,1,2,3,8,6,7,5]=>[1,2,3,8,4,5,6,7]=>[1,2,3,8,4,5,6,7]=>([(3,7),(4,7),(5,7),(6,7)],8)
[4,1,2,3,7,6,5,8]=>[1,2,3,7,4,5,8,6]=>[1,2,3,7,4,8,5,6]=>([(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[4,1,2,3,8,5,7,6]=>[1,2,3,8,4,5,7,6]=>[1,2,3,8,4,7,5,6]=>([(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,1,6,8,4,3,5,2]=>[1,6,8,2,3,5,4,7]=>[1,8,2,5,3,6,4,7]=>([(1,7),(2,7),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[5,6,8,2,3,1,7,4]=>[1,7,2,3,4,5,6,8]=>[1,7,2,3,4,5,6,8]=>([(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[6,5,8,2,4,3,1,7]=>[1,7,2,4,3,5,8,6]=>[1,7,4,2,3,8,5,6]=>([(1,2),(1,3),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,5,8,2,4,3,7,1]=>[1,2,4,3,7,5,8,6]=>[1,2,4,3,7,8,5,6]=>([(2,3),(4,6),(4,7),(5,6),(5,7)],8)
[7,5,2,8,3,4,1,6]=>[1,6,2,8,3,4,5,7]=>[1,6,8,3,4,2,5,7]=>([(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[6,5,2,8,3,7,1,4]=>[1,4,2,8,3,7,5,6]=>[1,4,8,2,7,5,3,6]=>([(1,2),(1,7),(2,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,5,2,7,3,4,1,8]=>[1,8,2,7,3,4,5,6]=>[1,8,7,3,4,5,2,6]=>([(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,1,6,8,7,3,2,4]=>[1,6,8,2,4,3,5,7]=>[1,8,4,2,3,6,5,7]=>([(1,7),(2,3),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,7,8,6,3,4,2,1]=>[1,2,3,4,5,7,8,6]=>[1,2,3,4,5,8,7,6]=>([(5,6),(5,7),(6,7)],8)
[4,1,8,3,6,5,7,2]=>[1,8,2,3,6,4,5,7]=>[1,8,2,6,4,3,5,7]=>([(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,1,8,3,6,2,7,5]=>[1,8,2,7,3,6,4,5]=>[1,8,7,6,4,3,2,5]=>([(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,1,4,8,6,2,7,5]=>[1,4,8,2,7,3,5,6]=>[1,8,7,4,3,5,2,6]=>([(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,1,4,8,6,5,2,7]=>[1,4,8,2,7,3,5,6]=>[1,8,7,4,3,5,2,6]=>([(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,1,6,5,8,3,2,4]=>[1,6,2,4,3,5,8,7]=>[1,6,4,2,3,5,8,7]=>([(1,2),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,1,6,7,8,3,2,5]=>[1,6,7,8,2,5,3,4]=>[1,8,5,3,2,6,7,4]=>([(1,5),(1,7),(2,5),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,1,6,5,7,3,2,8]=>[1,6,2,8,3,4,5,7]=>[1,6,8,3,4,2,5,7]=>([(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[4,5,2,6,3,7,1,8]=>[1,8,2,6,3,7,4,5]=>[1,8,6,7,4,2,3,5]=>([(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[4,5,2,7,3,8,1,6]=>[1,6,2,7,3,8,4,5]=>[1,6,7,8,4,2,3,5]=>([(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,7),(5,7),(6,7)],8)
[3,5,6,2,4,8,7,1]=>[1,2,4,8,3,5,6,7]=>[1,2,8,4,3,5,6,7]=>([(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[3,7,5,6,8,4,1,2]=>[1,2,3,7,4,5,6,8]=>[1,2,3,7,4,5,6,8]=>([(4,7),(5,7),(6,7)],8)
[3,6,5,2,8,1,7,4]=>[1,7,2,8,3,6,4,5]=>[1,7,8,6,4,3,2,5]=>([(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[6,1,2,5,8,4,7,3]=>[1,2,5,8,3,4,7,6]=>[1,2,8,3,5,7,4,6]=>([(2,7),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[7,1,6,5,8,3,4,2]=>[1,6,2,3,4,5,8,7]=>[1,6,2,3,4,5,8,7]=>([(1,2),(3,7),(4,7),(5,7),(6,7)],8)
[7,5,2,6,3,8,4,1]=>[1,2,6,3,8,4,5,7]=>[1,2,6,8,4,3,5,7]=>([(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[4,1,2,3,5,8,7,6]=>[1,2,3,5,8,4,6,7]=>[1,2,3,8,5,4,6,7]=>([(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[4,1,2,3,7,8,6,5]=>[1,2,3,7,8,4,5,6]=>[1,2,3,8,4,5,7,6]=>([(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[4,5,2,7,3,8,6,1]=>[1,2,7,3,8,4,5,6]=>[1,2,7,8,4,5,3,6]=>([(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[4,1,6,7,8,3,5,2]=>[1,6,7,8,2,3,5,4]=>[1,8,2,5,3,6,7,4]=>([(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[4,1,2,6,8,5,7,3]=>[1,2,6,8,3,4,5,7]=>[1,2,8,3,4,6,5,7]=>([(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[4,1,2,5,6,8,7,3]=>[1,2,5,6,8,3,4,7]=>[1,2,8,3,5,6,4,7]=>([(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,5,2,6,3,7,8,1]=>[1,2,6,3,7,8,4,5]=>[1,2,6,8,4,3,7,5]=>([(2,6),(2,7),(3,4),(3,5),(3,6),(4,5),(4,7),(5,7),(6,7)],8)
[7,8,5,6,1,4,3,2]=>[1,4,2,3,5,6,7,8]=>[1,4,2,3,5,6,7,8]=>([(5,7),(6,7)],8)
[7,8,4,2,1,5,3,6]=>[1,5,2,3,6,4,7,8]=>[1,5,2,6,3,4,7,8]=>([(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[7,8,2,1,6,5,3,4]=>[1,6,2,3,4,5,7,8]=>[1,6,2,3,4,5,7,8]=>([(3,7),(4,7),(5,7),(6,7)],8)
[6,4,1,2,5,7,3,8]=>[1,2,5,7,3,8,4,6]=>[1,2,7,8,5,4,3,6]=>([(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[2,4,8,1,5,7,3,6]=>[1,5,7,2,4,8,3,6]=>[1,7,8,2,5,3,4,6]=>([(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[6,3,1,4,7,2,5,8]=>[1,4,7,2,5,8,3,6]=>[1,7,8,4,2,3,5,6]=>([(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[7,8,3,4,5,1,6,2]=>[1,6,2,3,4,5,7,8]=>[1,6,2,3,4,5,7,8]=>([(3,7),(4,7),(5,7),(6,7)],8)
[7,8,3,5,4,2,1,6]=>[1,6,2,3,5,4,7,8]=>[1,6,2,5,3,4,7,8]=>([(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,8,4,1,2,3,6,5]=>[1,2,3,6,4,5,7,8]=>[1,2,3,6,4,5,7,8]=>([(5,7),(6,7)],8)
[7,8,3,6,5,4,1,2]=>[1,2,3,6,4,5,7,8]=>[1,2,3,6,4,5,7,8]=>([(5,7),(6,7)],8)
[7,8,2,1,5,3,4,6]=>[1,5,2,3,4,6,7,8]=>[1,5,2,3,4,6,7,8]=>([(4,7),(5,7),(6,7)],8)
[7,8,2,6,4,1,3,5]=>[1,3,5,2,6,4,7,8]=>[1,5,3,6,2,4,7,8]=>([(3,6),(3,7),(4,5),(4,7),(5,6),(6,7)],8)
[7,8,2,5,6,4,1,3]=>[1,3,2,5,6,4,7,8]=>[1,3,2,6,5,4,7,8]=>([(3,4),(5,6),(5,7),(6,7)],8)
[7,8,1,6,5,4,3,2]=>[1,6,2,3,4,5,7,8]=>[1,6,2,3,4,5,7,8]=>([(3,7),(4,7),(5,7),(6,7)],8)
[6,2,1,7,5,4,3,8]=>[1,7,2,3,8,4,5,6]=>[1,7,2,8,4,5,3,6]=>([(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[2,1,8,7,5,4,3,6]=>[1,8,2,3,6,4,5,7]=>[1,8,2,6,4,3,5,7]=>([(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,3,8,2,6,4,7,5]=>[1,3,8,2,6,4,7,5]=>[1,8,3,6,7,2,4,5]=>([(1,6),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,3,7,1,6,4,8,2]=>[1,6,2,3,7,4,8,5]=>[1,6,2,7,8,3,4,5]=>([(1,7),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8)
[5,3,6,2,7,4,1,8]=>[1,8,2,7,3,6,4,5]=>[1,8,7,6,4,3,2,5]=>([(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,1,2,5,8,7,4,3]=>[1,2,5,8,3,4,6,7]=>[1,2,8,3,5,4,6,7]=>([(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[6,3,1,8,4,2,7,5]=>[1,8,2,7,3,4,5,6]=>[1,8,7,3,4,5,2,6]=>([(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,4,2,1,5,3,8,7]=>[1,5,2,3,8,4,6,7]=>[1,5,2,8,3,4,6,7]=>([(1,7),(2,7),(3,6),(4,6),(4,7),(5,6),(5,7)],8)
[6,4,3,7,5,8,1,2]=>[1,2,3,7,4,5,8,6]=>[1,2,3,7,4,8,5,6]=>([(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[4,3,8,7,5,6,1,2]=>[1,2,3,8,4,5,6,7]=>[1,2,3,8,4,5,6,7]=>([(3,7),(4,7),(5,7),(6,7)],8)
[2,4,7,1,5,3,6,8]=>[1,5,2,4,7,3,6,8]=>[1,5,7,2,4,3,6,8]=>([(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[1,3,7,6,4,2,8,5]=>[1,3,7,2,8,4,5,6]=>[1,7,3,8,4,5,2,6]=>([(1,6),(1,7),(2,5),(2,6),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[2,1,7,5,6,8,4,3]=>[1,7,2,3,4,5,6,8]=>[1,7,2,3,4,5,6,8]=>([(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[3,7,2,8,6,4,1,5]=>[1,5,2,8,3,7,4,6]=>[1,5,8,7,2,4,3,6]=>([(1,6),(1,7),(2,3),(2,6),(2,7),(3,4),(3,5),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,8,1,7,6,4,5,2]=>[1,7,2,3,8,4,5,6]=>[1,7,2,8,4,5,3,6]=>([(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[1,8,5,7,3,6,4,2]=>[1,8,2,3,6,4,5,7]=>[1,8,2,6,4,3,5,7]=>([(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,7,5,8,3,6,1,4]=>[1,4,2,7,3,6,5,8]=>[1,4,7,2,6,3,5,8]=>([(2,3),(2,7),(3,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,5,6,8,2,4,7,3]=>[1,5,6,8,2,4,7,3]=>[1,8,7,2,5,6,4,3]=>([(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,6,7,3,8,4,1,2]=>[1,2,3,8,4,5,6,7]=>[1,2,3,8,4,5,6,7]=>([(3,7),(4,7),(5,7),(6,7)],8)
[5,2,8,1,4,7,3,6]=>[1,4,7,2,8,3,6,5]=>[1,7,8,4,6,3,2,5]=>([(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[4,5,6,7,2,8,1,3]=>[1,3,2,8,4,5,6,7]=>[1,3,2,8,4,5,6,7]=>([(1,2),(3,7),(4,7),(5,7),(6,7)],8)
[4,5,7,6,1,8,3,2]=>[1,8,2,3,4,5,7,6]=>[1,8,2,3,4,7,5,6]=>([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,5,8,6,2,7,3,4]=>[1,5,8,2,7,3,4,6]=>[1,8,7,3,5,4,2,6]=>([(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,6,5,8,3,2,7,4]=>[1,6,2,7,3,4,5,8]=>[1,6,7,3,4,2,5,8]=>([(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[4,6,5,7,1,2,8,3]=>[1,2,8,3,4,6,5,7]=>[1,2,8,3,6,4,5,7]=>([(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,7,5,6,3,1,8,2]=>[1,8,2,3,4,7,5,6]=>[1,8,2,3,7,5,4,6]=>([(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,1,6,3,4,2,8,7]=>[1,6,2,8,3,4,5,7]=>[1,6,8,3,4,2,5,7]=>([(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[5,7,1,4,2,3,8,6]=>[1,4,2,3,8,5,7,6]=>[1,4,2,3,8,7,5,6]=>([(1,5),(2,5),(3,6),(3,7),(4,6),(4,7),(6,7)],8)
[5,7,6,4,3,8,1,2]=>[1,2,3,8,4,5,7,6]=>[1,2,3,8,4,7,5,6]=>([(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,3,4,5,8,7,1,2]=>[1,2,3,4,5,8,6,7]=>[1,2,3,4,5,8,6,7]=>([(5,7),(6,7)],8)
[6,2,4,1,8,3,7,5]=>[1,8,2,4,3,7,5,6]=>[1,8,4,2,7,5,3,6]=>([(1,5),(1,7),(2,3),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,2,3,5,4,8,1,7]=>[1,7,2,3,5,4,8,6]=>[1,7,2,5,3,8,4,6]=>([(1,7),(2,3),(2,7),(3,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,1,3,4,5,8,7,2]=>[1,3,4,5,8,2,6,7]=>[1,8,3,4,5,2,6,7]=>([(1,7),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,1,4,2,7,6,8,3]=>[1,4,2,7,3,5,6,8]=>[1,4,7,2,3,5,6,8]=>([(2,7),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[5,7,2,4,1,6,3,8]=>[1,6,2,4,3,8,5,7]=>[1,6,4,2,8,3,5,7]=>([(1,6),(2,5),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7)],8)
[6,1,4,2,8,5,3,7]=>[1,4,2,8,3,7,5,6]=>[1,4,8,2,7,5,3,6]=>([(1,2),(1,7),(2,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,7,5,8,1,4,3,2]=>[1,4,2,3,5,8,6,7]=>[1,4,2,3,5,8,6,7]=>([(2,7),(3,7),(4,6),(5,6)],8)
[5,8,7,6,3,4,1,2]=>[1,2,3,4,5,8,6,7]=>[1,2,3,4,5,8,6,7]=>([(5,7),(6,7)],8)
[5,8,7,6,2,3,1,4]=>[1,4,2,3,5,8,6,7]=>[1,4,2,3,5,8,6,7]=>([(2,7),(3,7),(4,6),(5,6)],8)
[4,1,7,2,6,5,3,8]=>[1,7,2,6,3,8,4,5]=>[1,7,6,8,4,2,3,5]=>([(1,4),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(5,6),(5,7),(6,7)],8)
[4,8,2,1,5,6,3,7]=>[1,5,6,2,3,7,4,8]=>[1,6,2,7,5,3,4,8]=>([(2,7),(3,4),(3,5),(3,6),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,2,7,8,1,6,3,5]=>[1,6,2,7,8,3,5,4]=>[1,6,8,5,3,2,7,4]=>([(1,5),(1,7),(2,3),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[2,1,8,7,6,5,3,4]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>([(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[3,1,4,7,8,2,6,5]=>[1,4,7,8,2,6,3,5]=>[1,8,6,4,3,2,7,5]=>([(1,2),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,1,7,4,5,6,8,2]=>[1,7,2,3,4,5,6,8]=>[1,7,2,3,4,5,6,8]=>([(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[4,2,7,1,6,3,8,5]=>[1,6,2,7,3,8,4,5]=>[1,6,7,8,4,2,3,5]=>([(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,7),(5,7),(6,7)],8)
[4,3,7,5,6,8,1,2]=>[1,2,3,7,4,5,6,8]=>[1,2,3,7,4,5,6,8]=>([(4,7),(5,7),(6,7)],8)
[4,8,6,3,5,7,1,2]=>[1,2,3,5,7,4,8,6]=>[1,2,3,7,5,8,4,6]=>([(3,6),(3,7),(4,5),(4,7),(5,6),(6,7)],8)
[4,8,1,2,5,3,7,6]=>[1,2,5,3,7,4,8,6]=>[1,2,5,7,3,8,4,6]=>([(2,5),(2,7),(3,4),(3,7),(4,6),(5,6),(6,7)],8)
[3,8,6,5,2,4,1,7]=>[1,7,2,4,3,8,5,6]=>[1,7,4,2,8,5,3,6]=>([(1,4),(1,7),(2,5),(2,7),(3,4),(3,6),(3,7),(4,6),(5,6),(5,7),(6,7)],8)
[5,3,7,8,2,1,6,4]=>[1,6,2,3,7,8,4,5]=>[1,6,2,8,4,3,7,5]=>([(1,7),(2,5),(2,6),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[5,2,8,7,1,6,4,3]=>[1,6,2,8,3,4,5,7]=>[1,6,8,3,4,2,5,7]=>([(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[1,6,8,7,5,2,4,3]=>[1,6,8,2,4,3,5,7]=>[1,8,4,2,3,6,5,7]=>([(1,7),(2,3),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,7,6,8,5,2,1,4]=>[1,4,2,3,7,5,6,8]=>[1,4,2,3,7,5,6,8]=>([(2,7),(3,7),(4,6),(5,6)],8)
[3,7,8,5,1,2,4,6]=>[1,2,4,6,3,7,8,5]=>[1,2,6,4,8,3,7,5]=>([(2,6),(2,7),(3,4),(3,5),(4,5),(4,7),(5,6),(6,7)],8)
[3,7,1,6,4,2,5,8]=>[1,6,2,5,8,3,7,4]=>[1,6,8,7,2,5,3,4]=>([(1,4),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(5,6),(5,7),(6,7)],8)
[4,1,8,6,2,3,5,7]=>[1,8,2,3,5,7,4,6]=>[1,8,2,7,3,4,5,6]=>([(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,7,8,6,3,5,1,2]=>[1,2,3,5,4,7,8,6]=>[1,2,3,5,4,8,7,6]=>([(3,4),(5,6),(5,7),(6,7)],8)
[3,8,7,6,5,4,1,2]=>[1,2,3,8,4,5,6,7]=>[1,2,3,8,4,5,6,7]=>([(3,7),(4,7),(5,7),(6,7)],8)
[2,1,7,6,5,3,4,8]=>[1,7,2,3,4,8,5,6]=>[1,7,2,3,8,5,4,6]=>([(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[2,8,1,6,4,5,3,7]=>[1,6,2,8,3,7,4,5]=>[1,6,8,7,4,2,3,5]=>([(1,4),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(5,6),(5,7),(6,7)],8)
[2,8,7,5,1,4,3,6]=>[1,4,2,8,3,6,5,7]=>[1,4,8,2,6,3,5,7]=>([(1,7),(2,3),(2,7),(3,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,8,6,7,5,1,3,4]=>[1,3,4,2,8,5,6,7]=>[1,4,3,2,8,5,6,7]=>([(1,7),(2,7),(3,7),(4,5),(4,6),(5,6)],8)
[2,7,8,6,5,4,1,3]=>[1,3,2,7,8,4,5,6]=>[1,3,2,8,4,5,7,6]=>([(1,2),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[6,3,1,2,7,4,8,5]=>[1,2,7,3,4,8,5,6]=>[1,2,7,3,8,5,4,6]=>([(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[7,5,3,6,1,8,2,4]=>[1,8,2,4,3,6,5,7]=>[1,8,4,2,6,3,5,7]=>([(1,7),(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[8,5,3,6,1,7,2,4]=>[1,7,2,4,3,6,5,8]=>[1,7,4,2,6,3,5,8]=>([(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[8,3,6,2,4,7,1,5]=>[1,5,2,4,7,3,6,8]=>[1,5,7,2,4,3,6,8]=>([(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[7,3,6,2,4,8,1,5]=>[1,5,2,4,8,3,6,7]=>[1,5,8,2,4,3,6,7]=>([(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[4,3,7,1,2,5,8,6]=>[1,2,5,8,3,7,4,6]=>[1,2,8,7,5,4,3,6]=>([(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,6,2,7,1,4,8,5]=>[1,4,8,2,7,3,6,5]=>[1,8,7,4,6,3,2,5]=>([(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,3,6,7,1,2,8,4]=>[1,2,8,3,6,7,4,5]=>[1,2,8,7,4,3,6,5]=>([(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,3,7,4,1,2,8,5]=>[1,2,8,3,7,4,5,6]=>[1,2,8,7,4,5,3,6]=>([(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,7,1,5,2,3,8,6]=>[1,5,2,3,8,4,7,6]=>[1,5,2,8,3,7,4,6]=>([(1,6),(2,5),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7)],8)
[3,7,5,1,2,4,8,6]=>[1,2,4,8,3,7,5,6]=>[1,2,8,4,7,5,3,6]=>([(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,6,4,2,3,8,1,5]=>[1,5,2,3,8,4,6,7]=>[1,5,2,8,3,4,6,7]=>([(1,7),(2,7),(3,6),(4,6),(4,7),(5,6),(5,7)],8)
[8,6,4,2,3,7,1,5]=>[1,5,2,3,7,4,6,8]=>[1,5,2,7,3,4,6,8]=>([(2,7),(3,6),(4,6),(4,7),(5,6),(5,7)],8)
[4,7,6,3,8,1,2,5]=>[1,2,5,3,8,4,7,6]=>[1,2,5,8,3,7,4,6]=>([(2,3),(2,7),(3,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,7,4,2,3,8,1,6]=>[1,6,2,3,8,4,5,7]=>[1,6,2,8,4,3,5,7]=>([(1,7),(2,6),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[3,7,6,1,4,8,2,5]=>[1,4,8,2,5,3,7,6]=>[1,8,5,4,2,7,3,6]=>([(1,3),(1,7),(2,5),(2,6),(2,7),(3,4),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,7,2,6,1,8,3,4]=>[1,8,2,6,3,4,5,7]=>[1,8,6,3,4,2,5,7]=>([(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,4,7,5,2,8,1,3]=>[1,3,2,8,4,7,5,6]=>[1,3,2,8,7,5,4,6]=>([(1,2),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,4,8,5,2,6,1,3]=>[1,3,2,6,4,8,5,7]=>[1,3,2,6,8,4,5,7]=>([(1,2),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[5,8,2,6,3,7,1,4]=>[1,4,2,6,3,7,5,8]=>[1,4,6,2,7,3,5,8]=>([(2,5),(2,7),(3,4),(3,7),(4,6),(5,6),(6,7)],8)
[3,8,6,1,2,7,4,5]=>[1,2,7,3,8,4,5,6]=>[1,2,7,8,4,5,3,6]=>([(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[3,8,6,2,4,7,1,5]=>[1,5,2,4,7,3,8,6]=>[1,5,7,2,4,8,3,6]=>([(1,2),(1,7),(2,6),(3,4),(3,6),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[6,8,4,3,7,1,2,5]=>[1,2,5,3,7,4,6,8]=>[1,2,5,7,3,4,6,8]=>([(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[6,8,5,3,7,1,2,4]=>[1,2,4,3,7,5,6,8]=>[1,2,4,3,7,5,6,8]=>([(3,4),(5,7),(6,7)],8)
[4,8,6,2,7,1,3,5]=>[1,3,5,2,7,4,8,6]=>[1,5,3,7,2,8,4,6]=>([(1,4),(1,5),(2,3),(2,7),(3,6),(4,5),(4,6),(5,7),(6,7)],8)
[7,3,8,5,6,1,2,4]=>[1,2,4,3,8,5,6,7]=>[1,2,4,3,8,5,6,7]=>([(2,3),(4,7),(5,7),(6,7)],8)
[6,3,7,5,8,1,2,4]=>[1,2,4,3,7,5,8,6]=>[1,2,4,3,7,8,5,6]=>([(2,3),(4,6),(4,7),(5,6),(5,7)],8)
[2,7,6,4,8,1,3,5]=>[1,3,5,2,7,4,8,6]=>[1,5,3,7,2,8,4,6]=>([(1,4),(1,5),(2,3),(2,7),(3,6),(4,5),(4,6),(5,7),(6,7)],8)
[2,5,7,4,8,1,3,6]=>[1,3,6,2,5,7,4,8]=>[1,6,3,7,2,5,4,8]=>([(2,6),(2,7),(3,4),(3,5),(3,6),(4,5),(4,7),(5,7),(6,7)],8)
[5,4,6,7,2,8,1,3]=>[1,3,2,8,4,6,7,5]=>[1,3,2,8,7,4,6,5]=>([(1,2),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,6,3,7,1,8,2,5]=>[1,8,2,5,3,7,4,6]=>[1,8,5,7,2,4,3,6]=>([(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[5,4,7,3,8,1,2,6]=>[1,2,6,3,8,4,7,5]=>[1,2,6,8,7,3,4,5]=>([(2,3),(2,4),(2,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,4,6,3,8,1,2,5]=>[1,2,5,3,8,4,6,7]=>[1,2,5,8,3,4,6,7]=>([(2,7),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[8,4,6,3,7,1,2,5]=>[1,2,5,3,7,4,6,8]=>[1,2,5,7,3,4,6,8]=>([(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[8,4,1,6,7,2,3,5]=>[1,6,7,2,3,5,4,8]=>[1,7,2,5,3,6,4,8]=>([(2,7),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[7,4,1,6,8,2,3,5]=>[1,6,8,2,3,5,4,7]=>[1,8,2,5,3,6,4,7]=>([(1,7),(2,7),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[6,5,3,7,1,8,2,4]=>[1,8,2,4,3,7,5,6]=>[1,8,4,2,7,5,3,6]=>([(1,5),(1,7),(2,3),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,5,1,2,7,8,3,4]=>[1,2,7,8,3,4,5,6]=>[1,2,8,3,4,5,7,6]=>([(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[5,3,6,4,7,8,1,2]=>[1,2,3,6,4,7,8,5]=>[1,2,3,6,8,4,7,5]=>([(3,6),(3,7),(4,5),(4,7),(5,6),(6,7)],8)
[6,3,7,4,8,5,1,2]=>[1,2,3,7,4,8,5,6]=>[1,2,3,7,8,5,4,6]=>([(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[4,7,1,5,8,6,2,3]=>[1,5,8,2,3,4,7,6]=>[1,8,2,3,5,7,4,6]=>([(1,7),(2,7),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[7,5,1,2,8,6,3,4]=>[1,2,8,3,4,5,6,7]=>[1,2,8,3,4,5,6,7]=>([(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[7,5,3,8,1,6,2,4]=>[1,6,2,4,3,8,5,7]=>[1,6,4,2,8,3,5,7]=>([(1,6),(2,5),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7)],8)
[7,4,1,8,6,2,3,5]=>[1,8,2,3,5,4,6,7]=>[1,8,2,5,3,4,6,7]=>([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,6,1,8,5,2,3,4]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>([(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[8,6,1,7,5,2,3,4]=>[1,7,2,3,4,5,6,8]=>[1,7,2,3,4,5,6,8]=>([(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[5,7,2,8,1,6,3,4]=>[1,6,2,8,3,4,5,7]=>[1,6,8,3,4,2,5,7]=>([(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[6,4,7,8,2,5,1,3]=>[1,3,2,5,4,7,8,6]=>[1,3,2,5,4,8,7,6]=>([(1,4),(2,3),(5,6),(5,7),(6,7)],8)
[3,6,8,2,7,1,4,5]=>[1,4,5,2,7,3,6,8]=>[1,5,7,4,2,3,6,8]=>([(2,7),(3,4),(3,5),(3,6),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,3,8,7,1,2,5,6]=>[1,2,5,6,3,8,4,7]=>[1,2,6,8,5,3,4,7]=>([(2,7),(3,4),(3,5),(3,6),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,4,7,6,1,2,3,5]=>[1,2,3,5,4,7,6,8]=>[1,2,3,5,4,7,6,8]=>([(4,7),(5,6)],8)
[5,4,8,7,1,2,3,6]=>[1,2,3,6,4,8,5,7]=>[1,2,3,6,8,4,5,7]=>([(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[2,5,8,7,1,3,4,6]=>[1,3,4,6,2,5,8,7]=>[1,6,3,4,2,5,8,7]=>([(1,2),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,6,8,2,7,1,3,5]=>[1,3,5,2,7,4,6,8]=>[1,5,3,7,2,4,6,8]=>([(2,7),(3,5),(3,6),(4,6),(4,7),(5,6),(5,7)],8)
[4,7,1,8,6,2,3,5]=>[1,8,2,3,5,4,7,6]=>[1,8,2,5,3,7,4,6]=>([(1,7),(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[7,5,8,6,4,1,2,3]=>[1,2,3,4,5,8,6,7]=>[1,2,3,4,5,8,6,7]=>([(5,7),(6,7)],8)
[6,8,4,7,5,1,2,3]=>[1,2,3,4,7,5,6,8]=>[1,2,3,4,7,5,6,8]=>([(5,7),(6,7)],8)
[5,8,7,1,6,2,3,4]=>[1,6,2,3,4,5,8,7]=>[1,6,2,3,4,5,8,7]=>([(1,2),(3,7),(4,7),(5,7),(6,7)],8)
[3,8,7,6,1,2,4,5]=>[1,2,4,5,3,8,6,7]=>[1,2,5,4,3,8,6,7]=>([(2,7),(3,7),(4,5),(4,6),(5,6)],8)
[4,8,7,6,1,2,3,5]=>[1,2,3,5,4,8,6,7]=>[1,2,3,5,4,8,6,7]=>([(3,4),(5,7),(6,7)],8)
[5,6,3,1,4,2,8,7]=>[1,4,2,8,3,5,6,7]=>[1,4,8,2,3,5,6,7]=>([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[7,5,3,8,2,1,6,4]=>[1,6,2,3,8,4,5,7]=>[1,6,2,8,4,3,5,7]=>([(1,7),(2,6),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[3,8,7,4,5,1,6,2]=>[1,6,2,3,8,4,5,7]=>[1,6,2,8,4,3,5,7]=>([(1,7),(2,6),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[5,7,3,8,1,2,6,4]=>[1,2,6,3,8,4,5,7]=>[1,2,6,8,4,3,5,7]=>([(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[8,7,1,4,5,3,2,6]=>[1,4,5,2,6,3,7,8]=>[1,5,6,4,2,3,7,8]=>([(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[2,7,8,4,1,6,5,3]=>[1,6,2,7,8,3,4,5]=>[1,6,8,3,4,2,7,5]=>([(1,4),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(6,7)],8)
[7,1,8,4,2,6,5,3]=>[1,8,2,6,3,4,5,7]=>[1,8,6,3,4,2,5,7]=>([(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,5,1,4,8,6,3,2]=>[1,4,8,2,3,5,6,7]=>[1,8,2,4,3,5,6,7]=>([(1,7),(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[6,5,3,1,8,4,7,2]=>[1,8,2,3,4,7,5,6]=>[1,8,2,3,7,5,4,6]=>([(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,4,3,8,1,5,7,2]=>[1,5,7,2,3,8,4,6]=>[1,7,2,8,5,4,3,6]=>([(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[8,6,3,1,2,5,7,4]=>[1,2,5,7,3,4,6,8]=>[1,2,7,3,5,4,6,8]=>([(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[8,7,1,4,2,6,5,3]=>[1,4,2,6,3,5,7,8]=>[1,4,6,2,3,5,7,8]=>([(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[7,3,8,4,1,6,5,2]=>[1,6,2,3,8,4,5,7]=>[1,6,2,8,4,3,5,7]=>([(1,7),(2,6),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[2,3,4,5,6,7,8,1,9]=>[1,9,2,3,4,5,6,7,8]=>[1,9,2,3,4,5,6,7,8]=>([(1,8),(2,8),(3,8),(4,8),(5,8),(6,8),(7,8)],9)
[2,3,4,5,6,8,9,1,7]=>[1,7,2,3,4,5,6,8,9]=>[1,7,2,3,4,5,6,8,9]=>([(3,8),(4,8),(5,8),(6,8),(7,8)],9)
[2,3,5,6,7,8,9,1,4]=>[1,4,2,3,5,6,7,8,9]=>[1,4,2,3,5,6,7,8,9]=>([(6,8),(7,8)],9)
[2,4,5,6,7,8,9,1,3]=>[1,3,2,4,5,6,7,8,9]=>[1,3,2,4,5,6,7,8,9]=>([(7,8)],9)
[3,4,5,6,7,8,9,1,2]=>[1,2,3,4,5,6,7,8,9]=>[1,2,3,4,5,6,7,8,9]=>([],9)
[2,3,4,5,6,7,8,9,10,1]=>[1,2,3,4,5,6,7,8,9,10]=>[1,2,3,4,5,6,7,8,9,10]=>([],10)
[2,3,4,5,6,7,8,9,1,10]=>[1,10,2,3,4,5,6,7,8,9]=>[1,10,2,3,4,5,6,7,8,9]=>([(1,9),(2,9),(3,9),(4,9),(5,9),(6,9),(7,9),(8,9)],10)
[2,3,4,5,6,7,1,8,9]=>[1,8,9,2,3,4,5,6,7]=>[1,9,2,3,4,5,6,8,7]=>([(1,8),(2,8),(3,8),(4,8),(5,8),(6,7),(6,8),(7,8)],9)
[2,3,4,5,6,7,8,10,1,9]=>[1,9,2,3,4,5,6,7,8,10]=>[1,9,2,3,4,5,6,7,8,10]=>([(2,9),(3,9),(4,9),(5,9),(6,9),(7,9),(8,9)],10)
[2,3,4,5,6,1,9,7,8]=>[1,9,2,3,4,5,6,7,8]=>[1,9,2,3,4,5,6,7,8]=>([(1,8),(2,8),(3,8),(4,8),(5,8),(6,8),(7,8)],9)
[2,3,4,5,1,8,9,6,7]=>[1,8,9,2,3,4,5,6,7]=>[1,9,2,3,4,5,6,8,7]=>([(1,8),(2,8),(3,8),(4,8),(5,8),(6,7),(6,8),(7,8)],9)
[2,4,5,6,7,8,9,10,1,3]=>[1,3,2,4,5,6,7,8,9,10]=>[1,3,2,4,5,6,7,8,9,10]=>([(8,9)],10)
[3,4,5,6,7,8,9,10,1,2]=>[1,2,3,4,5,6,7,8,9,10]=>[1,2,3,4,5,6,7,8,9,10]=>([],10)
[3,6,4,5,7,2,8,1]=>[1,2,8,3,6,4,5,7]=>[1,2,8,6,4,3,5,7]=>([(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,3,2,5,1,8,4,7]=>[1,8,2,5,3,4,7,6]=>[1,8,5,3,2,7,4,6]=>([(1,5),(1,7),(2,3),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[8,5,3,6,2,7,1,4]=>[1,4,2,7,3,6,5,8]=>[1,4,7,2,6,3,5,8]=>([(2,3),(2,7),(3,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,2,6,3,4,7,1,5]=>[1,5,2,6,3,4,7,8]=>[1,5,6,3,2,4,7,8]=>([(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[7,2,6,3,4,5,8,1]=>[1,2,6,3,4,5,8,7]=>[1,2,6,3,4,5,8,7]=>([(2,3),(4,7),(5,7),(6,7)],8)
[6,2,7,3,4,5,8,1]=>[1,2,7,3,4,5,8,6]=>[1,2,7,3,4,8,5,6]=>([(2,7),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[3,6,2,7,4,5,8,1]=>[1,2,7,3,6,4,5,8]=>[1,2,7,6,4,3,5,8]=>([(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,4,7,6,2,3,8,1]=>[1,2,3,8,4,7,5,6]=>[1,2,3,8,7,5,4,6]=>([(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,7,3,5,2,4,8,1]=>[1,2,4,8,3,5,6,7]=>[1,2,8,4,3,5,6,7]=>([(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[3,7,6,2,4,5,8,1]=>[1,2,4,5,8,3,7,6]=>[1,2,8,4,5,7,3,6]=>([(2,6),(2,7),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[2,7,6,3,4,5,8,1]=>[1,2,7,3,4,5,8,6]=>[1,2,7,3,4,8,5,6]=>([(2,7),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[6,5,3,1,2,8,4,7]=>[1,2,8,3,4,7,5,6]=>[1,2,8,3,7,5,4,6]=>([(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,6,5,2,3,7,1,4]=>[1,4,2,3,7,5,6,8]=>[1,4,2,3,7,5,6,8]=>([(2,7),(3,7),(4,6),(5,6)],8)
[8,5,2,1,7,3,4,6]=>[1,7,2,3,4,6,5,8]=>[1,7,2,3,6,4,5,8]=>([(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,5,2,1,8,3,4,6]=>[1,8,2,3,4,6,5,7]=>[1,8,2,3,6,4,5,7]=>([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,6,3,2,8,4,5,7]=>[1,6,2,8,3,4,5,7]=>[1,6,8,3,4,2,5,7]=>([(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[5,7,3,1,2,8,4,6]=>[1,2,8,3,4,6,5,7]=>[1,2,8,3,6,4,5,7]=>([(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,6,2,3,1,8,4,7]=>[1,8,2,3,4,7,5,6]=>[1,8,2,3,7,5,4,6]=>([(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,2,6,5,1,8,3,7]=>[1,8,2,6,3,7,4,5]=>[1,8,6,7,4,2,3,5]=>([(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[5,4,8,6,2,7,1,3]=>[1,3,2,7,4,8,5,6]=>[1,3,2,7,8,5,4,6]=>([(1,2),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[6,8,3,5,2,7,1,4]=>[1,4,2,7,3,5,6,8]=>[1,4,7,2,3,5,6,8]=>([(2,7),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[7,8,5,2,3,6,1,4]=>[1,4,2,3,6,5,7,8]=>[1,4,2,3,6,5,7,8]=>([(3,4),(5,7),(6,7)],8)
[6,8,2,1,7,3,4,5]=>[1,7,2,3,4,5,6,8]=>[1,7,2,3,4,5,6,8]=>([(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[1,8,2,7,3,4,5,6]=>[1,8,2,7,3,4,5,6]=>[1,8,7,3,4,5,2,6]=>([(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,8,1,7,3,4,5,6]=>[1,7,2,8,3,4,5,6]=>[1,7,8,3,4,5,2,6]=>([(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[3,8,6,1,7,2,4,5]=>[1,7,2,4,5,3,8,6]=>[1,7,5,2,4,8,3,6]=>([(1,2),(1,7),(2,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,2,8,3,7,1,5,6]=>[1,5,6,2,8,3,7,4]=>[1,6,8,7,5,2,3,4]=>([(1,2),(1,3),(1,4),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,1,7,5,8,2,3,6]=>[1,7,2,3,6,4,5,8]=>[1,7,2,6,4,3,5,8]=>([(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,7,3,8,2,4,5,6]=>[1,7,2,4,5,6,3,8]=>[1,7,6,2,4,5,3,8]=>([(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,1,2,7,3,4,5,6]=>[1,2,7,3,4,5,6,8]=>[1,2,7,3,4,5,6,8]=>([(3,7),(4,7),(5,7),(6,7)],8)
[3,6,2,7,1,8,4,5]=>[1,8,2,7,3,6,4,5]=>[1,8,7,6,4,3,2,5]=>([(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,3,7,1,2,8,4,5]=>[1,2,8,3,7,4,5,6]=>[1,2,8,7,4,5,3,6]=>([(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,2,6,1,8,3,4,5]=>[1,8,2,6,3,4,5,7]=>[1,8,6,3,4,2,5,7]=>([(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,2,6,1,7,3,4,5]=>[1,7,2,6,3,4,5,8]=>[1,7,6,3,4,2,5,8]=>([(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,2,1,5,8,4,6,7]=>[1,5,8,2,3,4,6,7]=>[1,8,2,3,5,4,6,7]=>([(1,7),(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[5,4,1,3,6,8,2,7]=>[1,3,6,8,2,7,4,5]=>[1,8,3,7,4,6,2,5]=>([(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,5,3,4,6,8,2,7]=>[1,5,2,7,3,4,6,8]=>[1,5,7,3,2,4,6,8]=>([(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[5,4,6,3,8,7,1,2]=>[1,2,3,8,4,6,5,7]=>[1,2,3,8,6,4,5,7]=>([(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,6,4,5,8,7,1,2]=>[1,2,3,6,4,5,8,7]=>[1,2,3,6,4,5,8,7]=>([(3,4),(5,7),(6,7)],8)
[6,5,3,4,8,7,1,2]=>[1,2,3,4,8,5,6,7]=>[1,2,3,4,8,5,6,7]=>([(4,7),(5,7),(6,7)],8)
[5,3,2,8,7,1,4,6]=>[1,4,6,2,8,3,5,7]=>[1,6,8,4,3,2,5,7]=>([(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[5,3,1,8,7,2,4,6]=>[1,8,2,4,6,3,5,7]=>[1,8,6,2,3,4,5,7]=>([(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,5,3,7,6,1,2,4]=>[1,2,4,3,7,5,6,8]=>[1,2,4,3,7,5,6,8]=>([(3,4),(5,7),(6,7)],8)
[6,3,8,1,7,2,4,5]=>[1,7,2,4,5,3,8,6]=>[1,7,5,2,4,8,3,6]=>([(1,2),(1,7),(2,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,6,8,2,3,5,1,4]=>[1,4,2,3,5,6,8,7]=>[1,4,2,3,5,6,8,7]=>([(3,4),(5,7),(6,7)],8)
[6,7,3,8,2,5,1,4]=>[1,4,2,5,3,8,6,7]=>[1,4,5,2,3,8,6,7]=>([(1,7),(2,7),(3,5),(3,6),(4,5),(4,6)],8)
[5,4,7,8,2,6,1,3]=>[1,3,2,6,4,7,8,5]=>[1,3,2,6,8,4,7,5]=>([(1,2),(3,4),(3,7),(4,6),(5,6),(5,7),(6,7)],8)
[3,6,2,8,7,1,4,5]=>[1,4,5,2,8,3,6,7]=>[1,5,8,4,2,3,6,7]=>([(1,7),(2,7),(3,4),(3,5),(3,6),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,1,8,7,3,4,5,6]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>([(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[1,2,8,7,3,4,5,6]=>[1,2,8,3,4,5,6,7]=>[1,2,8,3,4,5,6,7]=>([(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[1,3,8,7,2,4,5,6]=>[1,3,8,2,4,5,6,7]=>[1,8,3,2,4,5,6,7]=>([(1,7),(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[4,1,5,8,7,2,3,6]=>[1,5,8,2,3,6,4,7]=>[1,8,2,6,5,3,4,7]=>([(1,7),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,4,8,7,6,1,2,3]=>[1,2,3,4,8,5,6,7]=>[1,2,3,4,8,5,6,7]=>([(4,7),(5,7),(6,7)],8)
[6,8,3,7,5,1,2,4]=>[1,2,4,3,7,5,6,8]=>[1,2,4,3,7,5,6,8]=>([(3,4),(5,7),(6,7)],8)
[7,8,6,2,5,1,3,4]=>[1,3,4,2,5,6,7,8]=>[1,4,3,2,5,6,7,8]=>([(5,6),(5,7),(6,7)],8)
[8,1,6,7,3,2,5,4]=>[1,6,7,2,5,3,4,8]=>[1,7,5,3,2,6,4,8]=>([(2,5),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,1,6,7,3,2,4,5]=>[1,6,7,2,4,5,3,8]=>[1,7,5,2,4,6,3,8]=>([(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,1,5,3,6,2,4,7]=>[1,5,2,4,7,3,6,8]=>[1,5,7,2,4,3,6,8]=>([(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[7,5,1,3,6,2,4,8]=>[1,3,6,2,4,8,5,7]=>[1,6,3,2,8,4,5,7]=>([(1,6),(2,3),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[7,5,8,3,6,2,4,1]=>[1,2,4,3,6,5,8,7]=>[1,2,4,3,6,5,8,7]=>([(2,7),(3,6),(4,5)],8)
[7,4,8,3,2,6,5,1]=>[1,2,6,3,4,8,5,7]=>[1,2,6,3,8,4,5,7]=>([(2,7),(3,6),(4,6),(4,7),(5,6),(5,7)],8)
[8,1,4,3,2,6,5,7]=>[1,4,2,6,3,5,7,8]=>[1,4,6,2,3,5,7,8]=>([(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[8,1,4,3,2,7,5,6]=>[1,4,2,7,3,5,6,8]=>[1,4,7,2,3,5,6,8]=>([(2,7),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[8,1,4,3,2,7,6,5]=>[1,4,2,7,3,5,6,8]=>[1,4,7,2,3,5,6,8]=>([(2,7),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[8,1,5,4,6,7,2,3]=>[1,5,2,3,4,6,7,8]=>[1,5,2,3,4,6,7,8]=>([(4,7),(5,7),(6,7)],8)
[8,1,5,3,6,2,7,4]=>[1,5,2,7,3,6,4,8]=>[1,5,7,6,2,3,4,8]=>([(2,3),(2,4),(2,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,1,4,3,2,6,7,5]=>[1,4,2,6,7,3,5,8]=>[1,4,7,2,3,6,5,8]=>([(2,5),(2,6),(3,4),(3,7),(4,7),(5,7),(6,7)],8)
[8,1,4,3,2,5,7,6]=>[1,4,2,5,7,3,6,8]=>[1,4,7,2,5,3,6,8]=>([(2,7),(3,4),(3,7),(4,6),(5,6),(5,7),(6,7)],8)
[8,1,4,3,2,5,6,7]=>[1,4,2,5,6,7,3,8]=>[1,4,7,2,5,6,3,8]=>([(2,3),(2,7),(3,6),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,4,1,3,2,5,6,8]=>[1,3,2,5,6,8,4,7]=>[1,3,2,8,5,6,4,7]=>([(1,2),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,4,3,8,2,5,7,1]=>[1,2,5,7,3,8,4,6]=>[1,2,7,8,5,4,3,6]=>([(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[6,4,3,1,2,5,8,7]=>[1,2,5,8,3,4,6,7]=>[1,2,8,3,5,4,6,7]=>([(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[7,4,1,3,2,5,8,6]=>[1,3,2,5,8,4,6,7]=>[1,3,2,8,5,4,6,7]=>([(1,2),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[7,4,1,3,2,6,8,5]=>[1,3,2,6,8,4,5,7]=>[1,3,2,8,4,6,5,7]=>([(1,2),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[7,5,1,3,6,2,8,4]=>[1,3,6,2,8,4,5,7]=>[1,6,3,8,4,2,5,7]=>([(1,7),(2,5),(2,6),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[7,5,1,4,6,8,2,3]=>[1,4,6,8,2,3,5,7]=>[1,8,2,4,3,6,5,7]=>([(1,7),(2,7),(3,6),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[7,5,8,3,6,2,1,4]=>[1,4,2,3,6,5,8,7]=>[1,4,2,3,6,5,8,7]=>([(1,4),(2,3),(5,7),(6,7)],8)
[7,4,8,3,2,5,1,6]=>[1,6,2,5,3,4,8,7]=>[1,6,5,3,2,4,8,7]=>([(1,2),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,4,3,8,2,5,1,7]=>[1,7,2,5,3,8,4,6]=>[1,7,5,8,2,4,3,6]=>([(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7)],8)
[6,4,3,7,2,5,8,1]=>[1,2,5,8,3,7,4,6]=>[1,2,8,7,5,4,3,6]=>([(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,4,3,2,8,6,1,7]=>[1,7,2,8,3,4,5,6]=>[1,7,8,3,4,5,2,6]=>([(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[5,4,3,2,8,7,1,6]=>[1,6,2,8,3,4,5,7]=>[1,6,8,3,4,2,5,7]=>([(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[6,5,3,8,7,2,1,4]=>[1,4,2,3,8,5,6,7]=>[1,4,2,3,8,5,6,7]=>([(1,7),(2,7),(3,7),(4,6),(5,6)],8)
[6,5,4,8,7,1,2,3]=>[1,2,3,4,8,5,6,7]=>[1,2,3,4,8,5,6,7]=>([(4,7),(5,7),(6,7)],8)
[6,5,4,1,7,8,2,3]=>[1,7,8,2,3,4,5,6]=>[1,8,2,3,4,5,7,6]=>([(1,7),(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[6,5,3,1,7,2,8,4]=>[1,7,2,8,3,4,5,6]=>[1,7,8,3,4,5,2,6]=>([(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[6,4,3,1,2,7,8,5]=>[1,2,7,8,3,4,5,6]=>[1,2,8,3,4,5,7,6]=>([(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[5,4,3,2,1,8,6,7]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>([(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[6,5,3,1,8,2,7,4]=>[1,8,2,7,3,4,5,6]=>[1,8,7,3,4,5,2,6]=>([(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,5,4,1,8,7,2,3]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>([(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[7,5,1,4,8,6,2,3]=>[1,4,8,2,3,5,6,7]=>[1,8,2,4,3,5,6,7]=>([(1,7),(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[7,4,1,3,2,8,6,5]=>[1,3,2,8,4,5,6,7]=>[1,3,2,8,4,5,6,7]=>([(1,2),(3,7),(4,7),(5,7),(6,7)],8)
[7,4,1,3,2,8,5,6]=>[1,3,2,8,4,5,6,7]=>[1,3,2,8,4,5,6,7]=>([(1,2),(3,7),(4,7),(5,7),(6,7)],8)
[6,4,3,1,2,7,5,8]=>[1,2,7,3,4,5,8,6]=>[1,2,7,3,4,8,5,6]=>([(2,7),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[6,4,3,8,2,7,5,1]=>[1,2,7,3,8,4,5,6]=>[1,2,7,8,4,5,3,6]=>([(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[6,5,3,8,7,2,4,1]=>[1,2,4,3,8,5,6,7]=>[1,2,4,3,8,5,6,7]=>([(2,3),(4,7),(5,7),(6,7)],8)
[6,5,3,1,8,2,4,7]=>[1,8,2,4,7,3,5,6]=>[1,8,7,2,3,5,4,6]=>([(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,5,1,3,8,2,4,6]=>[1,3,8,2,4,6,5,7]=>[1,8,3,2,6,4,5,7]=>([(1,7),(2,3),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,6,1,8,4,5,2,3]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>([(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[6,4,3,7,2,8,5,1]=>[1,2,8,3,7,4,5,6]=>[1,2,8,7,4,5,3,6]=>([(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,4,8,3,2,1,6,5]=>[1,6,2,3,4,8,5,7]=>[1,6,2,3,8,4,5,7]=>([(1,7),(2,7),(3,6),(4,6),(4,7),(5,6),(5,7)],8)
[7,5,8,3,1,2,6,4]=>[1,2,6,3,4,5,8,7]=>[1,2,6,3,4,5,8,7]=>([(2,3),(4,7),(5,7),(6,7)],8)
[7,5,8,4,1,6,2,3]=>[1,6,2,3,4,5,8,7]=>[1,6,2,3,4,5,8,7]=>([(1,2),(3,7),(4,7),(5,7),(6,7)],8)
[6,5,4,8,1,7,2,3]=>[1,7,2,3,4,8,5,6]=>[1,7,2,3,8,5,4,6]=>([(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[6,5,3,8,1,2,7,4]=>[1,2,7,3,8,4,5,6]=>[1,2,7,8,4,5,3,6]=>([(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[5,4,3,2,8,1,7,6]=>[1,7,2,8,3,4,5,6]=>[1,7,8,3,4,5,2,6]=>([(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[6,4,3,7,2,1,8,5]=>[1,8,2,3,7,4,5,6]=>[1,8,2,7,4,5,3,6]=>([(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,5,3,7,1,2,8,4]=>[1,2,8,3,7,4,5,6]=>[1,2,8,7,4,5,3,6]=>([(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,5,4,7,1,8,2,3]=>[1,8,2,3,4,7,5,6]=>[1,8,2,3,7,5,4,6]=>([(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,5,3,7,8,2,1,4]=>[1,4,2,3,7,8,5,6]=>[1,4,2,3,8,5,7,6]=>([(1,7),(2,4),(3,4),(5,6),(5,7),(6,7)],8)
[6,4,3,7,2,8,1,5]=>[1,5,2,8,3,7,4,6]=>[1,5,8,7,2,4,3,6]=>([(1,6),(1,7),(2,3),(2,6),(2,7),(3,4),(3,5),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,4,3,2,7,8,1,6]=>[1,6,2,7,8,3,4,5]=>[1,6,8,3,4,2,7,5]=>([(1,4),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(6,7)],8)
[5,6,2,1,3,4,8,7]=>[1,3,4,8,2,5,6,7]=>[1,8,3,4,2,5,6,7]=>([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,8,2,7,4,1,3,6]=>[1,3,6,2,7,4,5,8]=>[1,6,3,7,4,2,5,8]=>([(2,5),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[5,3,7,8,2,1,4,6]=>[1,4,6,2,3,7,8,5]=>[1,6,2,4,8,3,7,5]=>([(1,7),(2,4),(2,5),(3,6),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[7,6,1,2,5,8,3,4]=>[1,2,5,8,3,4,6,7]=>[1,2,8,3,5,4,6,7]=>([(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[8,3,7,4,1,5,6,2]=>[1,5,6,2,3,7,4,8]=>[1,6,2,7,5,3,4,8]=>([(2,7),(3,4),(3,5),(3,6),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,8,1,2,5,4,6,3]=>[1,2,5,3,4,6,7,8]=>[1,2,5,3,4,6,7,8]=>([(5,7),(6,7)],8)
[8,4,1,3,7,6,2,5]=>[1,3,7,2,5,4,6,8]=>[1,7,3,5,2,4,6,8]=>([(2,7),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[5,8,7,4,2,1,6,3]=>[1,6,2,3,4,5,8,7]=>[1,6,2,3,4,5,8,7]=>([(1,2),(3,7),(4,7),(5,7),(6,7)],8)
[7,5,1,6,8,3,4,2]=>[1,6,8,2,3,4,5,7]=>[1,8,2,3,4,6,5,7]=>([(1,7),(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[6,5,2,1,8,7,4,3]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>([(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[4,7,2,8,1,3,6,5]=>[1,3,6,2,8,4,7,5]=>[1,6,3,8,7,2,4,5]=>([(1,6),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(5,6),(6,7)],8)
[7,3,8,6,1,2,5,4]=>[1,2,5,3,8,4,6,7]=>[1,2,5,8,3,4,6,7]=>([(2,7),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[3,4,7,1,8,2,6,5]=>[1,8,2,6,3,4,7,5]=>[1,8,6,3,7,2,4,5]=>([(1,4),(1,6),(1,7),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[1,8,2,4,3,5,6,7]=>[1,8,2,4,3,5,6,7]=>[1,8,4,2,3,5,6,7]=>([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,7,2,4,3,5,6,8]=>[1,7,2,4,3,5,6,8]=>[1,7,4,2,3,5,6,8]=>([(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,6,2,4,3,5,7,8]=>[1,6,2,4,3,5,7,8]=>[1,6,4,2,3,5,7,8]=>([(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,5,2,4,3,6,7,8]=>[1,5,2,4,3,6,7,8]=>[1,5,4,2,3,6,7,8]=>([(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,6,2,5,3,4,7,8]=>[1,6,2,5,3,4,7,8]=>[1,6,5,3,2,4,7,8]=>([(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,7,2,5,3,4,6,8]=>[1,7,2,5,3,4,6,8]=>[1,7,5,3,2,4,6,8]=>([(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,8,2,5,3,4,6,7]=>[1,8,2,5,3,4,6,7]=>[1,8,5,3,2,4,6,7]=>([(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,8,2,6,3,4,5,7]=>[1,8,2,6,3,4,5,7]=>[1,8,6,3,4,2,5,7]=>([(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,7,2,6,3,4,5,8]=>[1,7,2,6,3,4,5,8]=>[1,7,6,3,4,2,5,8]=>([(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,8,2,7,3,5,4,6]=>[1,8,2,7,3,5,4,6]=>[1,8,7,5,3,4,2,6]=>([(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,7,2,8,3,5,4,6]=>[1,7,2,8,3,5,4,6]=>[1,7,8,5,3,4,2,6]=>([(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[1,6,2,8,3,5,4,7]=>[1,6,2,8,3,5,4,7]=>[1,6,8,5,3,2,4,7]=>([(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[1,5,2,8,3,6,4,7]=>[1,5,2,8,3,6,4,7]=>[1,5,8,6,2,3,4,7]=>([(1,7),(2,3),(2,4),(2,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,4,2,8,3,6,5,7]=>[1,4,2,8,3,6,5,7]=>[1,4,8,2,6,3,5,7]=>([(1,7),(2,3),(2,7),(3,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,3,2,8,4,6,5,7]=>[1,3,2,8,4,6,5,7]=>[1,3,2,8,6,4,5,7]=>([(1,2),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,2,3,8,4,6,5,7]=>[1,2,3,8,4,6,5,7]=>[1,2,3,8,6,4,5,7]=>([(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,2,3,7,4,6,5,8]=>[1,2,3,7,4,6,5,8]=>[1,2,3,7,6,4,5,8]=>([(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,3,2,7,4,6,5,8]=>[1,3,2,7,4,6,5,8]=>[1,3,2,7,6,4,5,8]=>([(2,3),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,4,2,7,3,6,5,8]=>[1,4,2,7,3,6,5,8]=>[1,4,7,2,6,3,5,8]=>([(2,3),(2,7),(3,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,5,2,7,3,6,4,8]=>[1,5,2,7,3,6,4,8]=>[1,5,7,6,2,3,4,8]=>([(2,3),(2,4),(2,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,6,2,7,3,5,4,8]=>[1,6,2,7,3,5,4,8]=>[1,6,7,5,3,2,4,8]=>([(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[1,7,2,6,3,5,4,8]=>[1,7,2,6,3,5,4,8]=>[1,7,6,5,3,2,4,8]=>([(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,8,2,6,3,5,4,7]=>[1,8,2,6,3,5,4,7]=>[1,8,6,5,3,2,4,7]=>([(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,8,2,5,3,6,4,7]=>[1,8,2,5,3,6,4,7]=>[1,8,5,6,2,3,4,7]=>([(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[1,7,2,5,3,6,4,8]=>[1,7,2,5,3,6,4,8]=>[1,7,5,6,2,3,4,8]=>([(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[1,6,2,5,3,7,4,8]=>[1,6,2,5,3,7,4,8]=>[1,6,5,7,2,3,4,8]=>([(2,3),(2,4),(2,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,5,2,4,3,7,6,8]=>[1,5,2,4,3,7,6,8]=>[1,5,4,2,3,7,6,8]=>([(2,3),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,6,2,4,3,7,5,8]=>[1,6,2,4,3,7,5,8]=>[1,6,4,2,7,3,5,8]=>([(2,3),(2,7),(3,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,7,2,4,3,6,5,8]=>[1,7,2,4,3,6,5,8]=>[1,7,4,2,6,3,5,8]=>([(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[1,8,2,4,3,6,5,7]=>[1,8,2,4,3,6,5,7]=>[1,8,4,2,6,3,5,7]=>([(1,7),(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[1,8,2,3,4,6,5,7]=>[1,8,2,3,4,6,5,7]=>[1,8,2,3,6,4,5,7]=>([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,7,2,3,4,6,5,8]=>[1,7,2,3,4,6,5,8]=>[1,7,2,3,6,4,5,8]=>([(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,8,2,3,4,7,5,6]=>[1,8,2,3,4,7,5,6]=>[1,8,2,3,7,5,4,6]=>([(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,8,2,4,3,7,5,6]=>[1,8,2,4,3,7,5,6]=>[1,8,4,2,7,5,3,6]=>([(1,5),(1,7),(2,3),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,7,2,4,3,8,5,6]=>[1,7,2,4,3,8,5,6]=>[1,7,4,2,8,5,3,6]=>([(1,4),(1,7),(2,5),(2,7),(3,4),(3,6),(3,7),(4,6),(5,6),(5,7),(6,7)],8)
[1,6,2,4,3,8,5,7]=>[1,6,2,4,3,8,5,7]=>[1,6,4,2,8,3,5,7]=>([(1,6),(2,5),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7)],8)
[1,5,2,4,3,8,6,7]=>[1,5,2,4,3,8,6,7]=>[1,5,4,2,3,8,6,7]=>([(1,5),(2,5),(3,6),(3,7),(4,6),(4,7),(6,7)],8)
[1,6,2,5,3,8,4,7]=>[1,6,2,5,3,8,4,7]=>[1,6,5,8,2,3,4,7]=>([(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6)],8)
[1,7,2,5,3,8,4,6]=>[1,7,2,5,3,8,4,6]=>[1,7,5,8,2,4,3,6]=>([(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7)],8)
[1,8,2,5,3,7,4,6]=>[1,8,2,5,3,7,4,6]=>[1,8,5,7,2,4,3,6]=>([(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[1,8,2,6,3,7,4,5]=>[1,8,2,6,3,7,4,5]=>[1,8,6,7,4,2,3,5]=>([(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[1,7,2,6,3,8,4,5]=>[1,7,2,6,3,8,4,5]=>[1,7,6,8,4,2,3,5]=>([(1,4),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(5,6),(5,7),(6,7)],8)
[1,2,3,8,4,7,5,6]=>[1,2,3,8,4,7,5,6]=>[1,2,3,8,7,5,4,6]=>([(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,3,2,8,4,7,5,6]=>[1,3,2,8,4,7,5,6]=>[1,3,2,8,7,5,4,6]=>([(1,2),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,4,2,8,3,7,5,6]=>[1,4,2,8,3,7,5,6]=>[1,4,8,2,7,5,3,6]=>([(1,2),(1,7),(2,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,5,2,8,3,7,4,6]=>[1,5,2,8,3,7,4,6]=>[1,5,8,7,2,4,3,6]=>([(1,6),(1,7),(2,3),(2,6),(2,7),(3,4),(3,5),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,6,2,8,3,7,4,5]=>[1,6,2,8,3,7,4,5]=>[1,6,8,7,4,2,3,5]=>([(1,4),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(5,6),(5,7),(6,7)],8)
[1,7,2,8,3,6,4,5]=>[1,7,2,8,3,6,4,5]=>[1,7,8,6,4,3,2,5]=>([(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[1,8,2,7,3,6,4,5]=>[1,8,2,7,3,6,4,5]=>[1,8,7,6,4,3,2,5]=>([(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,6,3,7,2,5,1,8]=>[1,8,2,5,3,7,4,6]=>[1,8,5,7,2,4,3,6]=>([(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[4,6,3,7,5,2,1,8]=>[1,8,2,3,7,4,6,5]=>[1,8,2,7,6,4,3,5]=>([(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,6,3,8,5,1,2,7]=>[1,2,7,3,8,4,6,5]=>[1,2,7,8,6,4,3,5]=>([(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[5,6,8,3,4,1,2,7]=>[1,2,7,3,4,5,6,8]=>[1,2,7,3,4,5,6,8]=>([(3,7),(4,7),(5,7),(6,7)],8)
[5,6,8,3,4,1,7,2]=>[1,7,2,3,4,5,6,8]=>[1,7,2,3,4,5,6,8]=>([(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[4,6,2,7,5,3,1,8]=>[1,8,2,7,3,4,6,5]=>[1,8,7,3,6,4,2,5]=>([(1,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,6,7,2,4,3,1,8]=>[1,8,2,4,3,5,6,7]=>[1,8,4,2,3,5,6,7]=>([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,6,8,4,3,1,7,2]=>[1,7,2,3,4,5,6,8]=>[1,7,2,3,4,5,6,8]=>([(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[5,6,8,4,3,1,2,7]=>[1,2,7,3,4,5,6,8]=>[1,2,7,3,4,5,6,8]=>([(3,7),(4,7),(5,7),(6,7)],8)
[5,7,8,4,1,6,2,3]=>[1,6,2,3,4,5,7,8]=>[1,6,2,3,4,5,7,8]=>([(3,7),(4,7),(5,7),(6,7)],8)
[5,7,8,4,1,6,3,2]=>[1,6,2,3,4,5,7,8]=>[1,6,2,3,4,5,7,8]=>([(3,7),(4,7),(5,7),(6,7)],8)
[5,7,8,4,1,3,6,2]=>[1,3,6,2,4,5,7,8]=>[1,6,3,2,4,5,7,8]=>([(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[5,6,8,4,2,1,7,3]=>[1,7,2,3,4,5,6,8]=>[1,7,2,3,4,5,6,8]=>([(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[5,6,8,2,4,1,7,3]=>[1,7,2,4,3,5,6,8]=>[1,7,4,2,3,5,6,8]=>([(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,6,2,8,5,1,3,7]=>[1,3,7,2,8,4,6,5]=>[1,7,3,8,6,4,2,5]=>([(1,6),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[5,6,8,2,4,1,3,7]=>[1,3,7,2,4,5,6,8]=>[1,7,3,2,4,5,6,8]=>([(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[5,6,8,4,2,1,3,7]=>[1,3,7,2,4,5,6,8]=>[1,7,3,2,4,5,6,8]=>([(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[5,7,8,4,1,3,2,6]=>[1,3,2,6,4,5,7,8]=>[1,3,2,6,4,5,7,8]=>([(3,4),(5,7),(6,7)],8)
[5,7,8,4,1,2,6,3]=>[1,2,6,3,4,5,7,8]=>[1,2,6,3,4,5,7,8]=>([(4,7),(5,7),(6,7)],8)
[5,7,8,4,1,2,3,6]=>[1,2,3,6,4,5,7,8]=>[1,2,3,6,4,5,7,8]=>([(5,7),(6,7)],8)
[6,7,8,1,5,2,3,4]=>[1,5,2,3,4,6,7,8]=>[1,5,2,3,4,6,7,8]=>([(4,7),(5,7),(6,7)],8)
[6,7,8,1,5,2,4,3]=>[1,5,2,4,3,6,7,8]=>[1,5,4,2,3,6,7,8]=>([(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,7,8,1,5,3,2,4]=>[1,5,2,4,3,6,7,8]=>[1,5,4,2,3,6,7,8]=>([(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,7,8,1,3,5,2,4]=>[1,3,5,2,4,6,7,8]=>[1,5,3,2,4,6,7,8]=>([(4,7),(5,6),(5,7),(6,7)],8)
[5,7,8,2,1,6,3,4]=>[1,6,2,3,4,5,7,8]=>[1,6,2,3,4,5,7,8]=>([(3,7),(4,7),(5,7),(6,7)],8)
[4,7,2,8,1,6,3,5]=>[1,6,2,8,3,5,4,7]=>[1,6,8,5,3,2,4,7]=>([(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[3,2,7,8,1,6,4,5]=>[1,6,2,7,8,3,4,5]=>[1,6,8,3,4,2,7,5]=>([(1,4),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(6,7)],8)
[3,2,7,8,1,6,5,4]=>[1,6,2,7,8,3,4,5]=>[1,6,8,3,4,2,7,5]=>([(1,4),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(6,7)],8)
[4,7,2,8,1,6,5,3]=>[1,6,2,8,3,4,7,5]=>[1,6,8,3,7,2,4,5]=>([(1,4),(1,5),(1,7),(2,4),(2,5),(2,7),(3,4),(3,6),(3,7),(4,6),(5,6),(5,7),(6,7)],8)
[5,7,8,2,1,6,4,3]=>[1,6,2,3,4,5,7,8]=>[1,6,2,3,4,5,7,8]=>([(3,7),(4,7),(5,7),(6,7)],8)
[6,7,8,1,3,5,4,2]=>[1,3,5,2,4,6,7,8]=>[1,5,3,2,4,6,7,8]=>([(4,7),(5,6),(5,7),(6,7)],8)
[6,7,8,1,5,3,4,2]=>[1,5,2,3,4,6,7,8]=>[1,5,2,3,4,6,7,8]=>([(4,7),(5,7),(6,7)],8)
[6,7,8,1,5,4,3,2]=>[1,5,2,3,4,6,7,8]=>[1,5,2,3,4,6,7,8]=>([(4,7),(5,7),(6,7)],8)
[6,7,8,1,5,4,2,3]=>[1,5,2,3,4,6,7,8]=>[1,5,2,3,4,6,7,8]=>([(4,7),(5,7),(6,7)],8)
[6,7,8,1,4,5,2,3]=>[1,4,5,2,3,6,7,8]=>[1,5,2,4,3,6,7,8]=>([(4,7),(5,6),(5,7),(6,7)],8)
[6,7,8,1,4,5,3,2]=>[1,4,5,2,3,6,7,8]=>[1,5,2,4,3,6,7,8]=>([(4,7),(5,6),(5,7),(6,7)],8)
[6,7,8,1,4,3,5,2]=>[1,4,2,3,5,6,7,8]=>[1,4,2,3,5,6,7,8]=>([(5,7),(6,7)],8)
[6,7,8,1,3,4,5,2]=>[1,3,4,5,2,6,7,8]=>[1,5,3,4,2,6,7,8]=>([(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,7,8,2,1,4,6,3]=>[1,4,6,2,3,5,7,8]=>[1,6,2,4,3,5,7,8]=>([(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[4,7,2,8,1,5,6,3]=>[1,5,6,2,8,3,4,7]=>[1,6,8,3,5,2,4,7]=>([(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[3,2,7,8,1,5,6,4]=>[1,5,6,2,7,8,3,4]=>[1,6,8,3,5,2,7,4]=>([(1,6),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[5,6,8,3,2,1,7,4]=>[1,7,2,3,4,5,6,8]=>[1,7,2,3,4,5,6,8]=>([(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[5,7,8,3,1,4,6,2]=>[1,4,6,2,3,5,7,8]=>[1,6,2,4,3,5,7,8]=>([(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[5,7,8,3,1,6,4,2]=>[1,6,2,3,4,5,7,8]=>[1,6,2,3,4,5,7,8]=>([(3,7),(4,7),(5,7),(6,7)],8)
[5,7,8,3,1,6,2,4]=>[1,6,2,4,3,5,7,8]=>[1,6,4,2,3,5,7,8]=>([(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,7,3,8,1,6,2,5]=>[1,6,2,5,3,8,4,7]=>[1,6,5,8,2,3,4,7]=>([(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6)],8)
[4,7,3,8,1,6,5,2]=>[1,6,2,3,8,4,7,5]=>[1,6,2,8,7,3,4,5]=>([(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6)],8)
[4,7,3,8,1,5,6,2]=>[1,5,6,2,3,8,4,7]=>[1,6,2,8,5,3,4,7]=>([(1,7),(2,6),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[4,5,3,2,8,1,7,6]=>[1,7,2,8,3,4,5,6]=>[1,7,8,3,4,5,2,6]=>([(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[4,5,2,3,8,1,7,6]=>[1,7,2,3,8,4,5,6]=>[1,7,2,8,4,5,3,6]=>([(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[3,2,5,4,8,1,7,6]=>[1,7,2,5,3,4,8,6]=>[1,7,5,3,2,8,4,6]=>([(1,2),(1,5),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,6,3,8,2,1,5,7]=>[1,5,7,2,3,8,4,6]=>[1,7,2,8,5,4,3,6]=>([(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[4,7,3,8,1,5,2,6]=>[1,5,2,6,3,8,4,7]=>[1,5,6,8,2,3,4,7]=>([(1,7),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8)
[4,7,3,8,1,2,6,5]=>[1,2,6,3,8,4,7,5]=>[1,2,6,8,7,3,4,5]=>([(2,3),(2,4),(2,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,7,3,8,1,2,5,6]=>[1,2,5,6,3,8,4,7]=>[1,2,6,8,5,3,4,7]=>([(2,7),(3,4),(3,5),(3,6),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,7,8,3,1,2,4,6]=>[1,2,4,6,3,5,7,8]=>[1,2,6,4,3,5,7,8]=>([(4,7),(5,6),(5,7),(6,7)],8)
[5,7,8,3,1,2,6,4]=>[1,2,6,3,4,5,7,8]=>[1,2,6,3,4,5,7,8]=>([(4,7),(5,7),(6,7)],8)
[5,7,8,3,1,4,2,6]=>[1,4,2,6,3,5,7,8]=>[1,4,6,2,3,5,7,8]=>([(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[5,6,8,3,2,1,4,7]=>[1,4,7,2,3,5,6,8]=>[1,7,2,4,3,5,6,8]=>([(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[3,2,7,8,1,5,4,6]=>[1,5,2,7,8,3,4,6]=>[1,5,8,3,2,4,7,6]=>([(1,2),(1,7),(2,7),(3,4),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[5,7,8,2,1,4,3,6]=>[1,4,2,3,6,5,7,8]=>[1,4,2,3,6,5,7,8]=>([(3,4),(5,7),(6,7)],8)
[6,7,8,1,3,4,2,5]=>[1,3,4,2,5,6,7,8]=>[1,4,3,2,5,6,7,8]=>([(5,6),(5,7),(6,7)],8)
[6,7,8,1,4,3,2,5]=>[1,4,2,5,3,6,7,8]=>[1,4,5,2,3,6,7,8]=>([(4,6),(4,7),(5,6),(5,7)],8)
[6,7,8,1,4,2,5,3]=>[1,4,2,5,3,6,7,8]=>[1,4,5,2,3,6,7,8]=>([(4,6),(4,7),(5,6),(5,7)],8)
[6,7,8,1,4,2,3,5]=>[1,4,2,3,5,6,7,8]=>[1,4,2,3,5,6,7,8]=>([(5,7),(6,7)],8)
[6,7,8,1,2,5,3,4]=>[1,2,5,3,4,6,7,8]=>[1,2,5,3,4,6,7,8]=>([(5,7),(6,7)],8)
[6,7,8,1,2,5,4,3]=>[1,2,5,3,4,6,7,8]=>[1,2,5,3,4,6,7,8]=>([(5,7),(6,7)],8)
[6,7,8,1,2,4,5,3]=>[1,2,4,5,3,6,7,8]=>[1,2,5,4,3,6,7,8]=>([(5,6),(5,7),(6,7)],8)
[6,7,8,1,3,2,5,4]=>[1,3,2,5,4,6,7,8]=>[1,3,2,5,4,6,7,8]=>([(4,7),(5,6)],8)
[5,7,8,2,1,3,6,4]=>[1,3,6,2,4,5,7,8]=>[1,6,3,2,4,5,7,8]=>([(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[3,2,7,8,1,4,6,5]=>[1,4,6,2,7,8,3,5]=>[1,6,8,4,3,2,7,5]=>([(1,2),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[6,7,8,1,3,2,4,5]=>[1,3,2,4,5,6,7,8]=>[1,3,2,4,5,6,7,8]=>([(6,7)],8)
[6,7,8,1,2,4,3,5]=>[1,2,4,3,5,6,7,8]=>[1,2,4,3,5,6,7,8]=>([(6,7)],8)
[6,7,8,1,2,3,5,4]=>[1,2,3,5,4,6,7,8]=>[1,2,3,5,4,6,7,8]=>([(6,7)],8)
[7,2,8,5,1,6,4,3]=>[1,6,2,8,3,4,5,7]=>[1,6,8,3,4,2,5,7]=>([(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[7,2,8,5,4,1,6,3]=>[1,6,2,8,3,4,5,7]=>[1,6,8,3,4,2,5,7]=>([(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[2,8,5,4,3,1,7,6]=>[1,7,2,8,3,4,5,6]=>[1,7,8,3,4,5,2,6]=>([(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[2,8,4,5,6,1,7,3]=>[1,7,2,8,3,4,5,6]=>[1,7,8,3,4,5,2,6]=>([(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[2,8,4,5,3,7,1,6]=>[1,6,2,8,3,7,4,5]=>[1,6,8,7,4,2,3,5]=>([(1,4),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(5,6),(5,7),(6,7)],8)
[7,2,8,4,5,6,1,3]=>[1,3,2,8,4,5,6,7]=>[1,3,2,8,4,5,6,7]=>([(1,2),(3,7),(4,7),(5,7),(6,7)],8)
[6,2,3,8,5,1,7,4]=>[1,7,2,3,8,4,5,6]=>[1,7,2,8,4,5,3,6]=>([(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[6,3,2,8,5,1,4,7]=>[1,4,7,2,8,3,5,6]=>[1,7,8,4,3,5,2,6]=>([(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[7,4,8,5,2,1,3,6]=>[1,3,6,2,4,8,5,7]=>[1,6,3,2,8,4,5,7]=>([(1,6),(2,3),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[6,4,8,5,1,3,7,2]=>[1,3,7,2,4,8,5,6]=>[1,7,3,2,8,5,4,6]=>([(1,2),(1,7),(2,7),(3,4),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[6,3,7,5,2,1,8,4]=>[1,8,2,3,7,4,5,6]=>[1,8,2,7,4,5,3,6]=>([(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,3,7,5,1,2,8,6]=>[1,2,8,3,7,4,5,6]=>[1,2,8,7,4,5,3,6]=>([(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,3,7,1,5,6,8,2]=>[1,5,6,8,2,3,7,4]=>[1,8,2,7,5,6,3,4]=>([(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,6,1,7,5,2,8,4]=>[1,7,2,8,3,6,4,5]=>[1,7,8,6,4,3,2,5]=>([(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[3,4,1,2,7,6,8,5]=>[1,2,7,3,4,5,6,8]=>[1,2,7,3,4,5,6,8]=>([(3,7),(4,7),(5,7),(6,7)],8)
[3,4,2,1,7,5,8,6]=>[1,7,2,3,4,5,8,6]=>[1,7,2,3,4,8,5,6]=>([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[3,6,5,7,1,4,8,2]=>[1,4,8,2,3,6,5,7]=>[1,8,2,4,6,3,5,7]=>([(1,7),(2,7),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[6,5,2,7,4,1,8,3]=>[1,8,2,7,3,4,5,6]=>[1,8,7,3,4,5,2,6]=>([(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,3,1,8,6,4,7,2]=>[1,8,2,3,4,7,5,6]=>[1,8,2,3,7,5,4,6]=>([(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,6,1,8,7,2,4,3]=>[1,8,2,4,3,5,6,7]=>[1,8,4,2,3,5,6,7]=>([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,3,5,8,2,7,4,1]=>[1,2,7,3,5,8,4,6]=>[1,2,7,8,3,4,5,6]=>([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[6,5,8,4,2,3,7,1]=>[1,2,3,7,4,5,8,6]=>[1,2,3,7,4,8,5,6]=>([(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[6,2,5,8,3,7,1,4]=>[1,4,2,5,8,3,7,6]=>[1,4,8,2,5,7,3,6]=>([(1,2),(1,7),(2,6),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[1,6,5,7,3,4,2,8]=>[1,6,2,8,3,4,5,7]=>[1,6,8,3,4,2,5,7]=>([(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[1,5,2,7,4,6,3,8]=>[1,5,2,7,3,8,4,6]=>[1,5,7,8,2,4,3,6]=>([(1,6),(1,7),(2,3),(2,4),(2,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[5,2,1,8,7,6,3,4]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>([(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[2,3,4,8,6,1,7,5]=>[1,7,2,3,4,8,5,6]=>[1,7,2,3,8,5,4,6]=>([(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[2,3,4,8,6,5,1,7]=>[1,7,2,3,4,8,5,6]=>[1,7,2,3,8,5,4,6]=>([(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[2,7,3,5,8,6,1,4]=>[1,4,2,7,3,5,8,6]=>[1,4,7,2,3,8,5,6]=>([(1,5),(1,6),(2,3),(2,4),(3,7),(4,7),(5,7),(6,7)],8)
[3,2,4,7,8,6,1,5]=>[1,5,2,4,7,8,3,6]=>[1,5,8,2,4,3,7,6]=>([(1,2),(1,7),(2,7),(3,4),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[1,5,4,6,2,7,3,8]=>[1,5,2,7,3,8,4,6]=>[1,5,7,8,2,4,3,6]=>([(1,6),(1,7),(2,3),(2,4),(2,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[5,2,4,7,1,8,3,6]=>[1,8,2,4,7,3,6,5]=>[1,8,7,2,6,3,4,5]=>([(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,3,6,4,1,8,7,2]=>[1,8,2,3,6,4,5,7]=>[1,8,2,6,4,3,5,7]=>([(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,3,6,1,4,8,2,7]=>[1,4,8,2,7,3,6,5]=>[1,8,7,4,6,3,2,5]=>([(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,3,5,6,8,4,2,1]=>[1,2,3,5,6,8,4,7]=>[1,2,3,8,5,6,4,7]=>([(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,3,5,1,8,2,7,4]=>[1,8,2,7,3,5,4,6]=>[1,8,7,5,3,4,2,6]=>([(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,7,6,5,8,3,4,1]=>[1,2,7,3,4,5,8,6]=>[1,2,7,3,4,8,5,6]=>([(2,7),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[5,7,1,6,3,8,4,2]=>[1,6,2,3,8,4,5,7]=>[1,6,2,8,4,3,5,7]=>([(1,7),(2,6),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[3,2,4,1,7,8,5,6]=>[1,7,8,2,4,3,5,6]=>[1,8,4,2,3,5,7,6]=>([(1,7),(2,3),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,1,4,2,7,8,6,5]=>[1,4,2,7,8,3,5,6]=>[1,4,8,2,3,5,7,6]=>([(1,7),(2,5),(2,6),(3,4),(3,7),(4,7),(5,7),(6,7)],8)
[5,1,4,7,2,8,6,3]=>[1,4,7,2,8,3,5,6]=>[1,7,8,4,3,5,2,6]=>([(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[3,6,4,7,8,2,5,1]=>[1,2,5,3,6,4,7,8]=>[1,2,5,6,3,4,7,8]=>([(4,6),(4,7),(5,6),(5,7)],8)
[3,1,4,6,8,5,7,2]=>[1,4,6,8,2,3,5,7]=>[1,8,2,4,3,6,5,7]=>([(1,7),(2,7),(3,6),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[6,3,4,5,7,1,8,2]=>[1,8,2,3,4,5,7,6]=>[1,8,2,3,4,7,5,6]=>([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,5,4,6,1,7,8,3]=>[1,7,8,2,5,3,4,6]=>[1,8,5,3,2,4,7,6]=>([(1,2),(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,2,1,4,3,6,5,8]=>[1,4,2,3,6,5,8,7]=>[1,4,2,3,6,5,8,7]=>([(1,4),(2,3),(5,7),(6,7)],8)
[7,3,4,1,2,6,5,8]=>[1,2,6,3,4,5,8,7]=>[1,2,6,3,4,5,8,7]=>([(2,3),(4,7),(5,7),(6,7)],8)
[7,4,3,2,1,6,5,8]=>[1,6,2,3,4,5,8,7]=>[1,6,2,3,4,5,8,7]=>([(1,2),(3,7),(4,7),(5,7),(6,7)],8)
[7,6,3,2,5,4,1,8]=>[1,8,2,5,3,4,6,7]=>[1,8,5,3,2,4,6,7]=>([(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,7,3,2,5,4,8,1]=>[1,2,5,3,4,8,6,7]=>[1,2,5,3,4,8,6,7]=>([(2,7),(3,7),(4,6),(5,6)],8)
[1,8,3,2,5,4,7,6]=>[1,8,2,5,3,4,7,6]=>[1,8,5,3,2,7,4,6]=>([(1,5),(1,7),(2,3),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[1,8,4,5,2,3,7,6]=>[1,8,2,3,7,4,5,6]=>[1,8,2,7,4,5,3,6]=>([(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,3,5,1,6,2,4,8]=>[1,6,2,4,8,3,5,7]=>[1,6,8,2,3,4,5,7]=>([(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[7,2,1,6,5,4,3,8]=>[1,6,2,3,8,4,5,7]=>[1,6,2,8,4,3,5,7]=>([(1,7),(2,6),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[7,3,6,1,5,4,2,8]=>[1,5,2,8,3,6,4,7]=>[1,5,8,6,2,3,4,7]=>([(1,7),(2,3),(2,4),(2,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,4,6,5,1,3,2,8]=>[1,3,2,8,4,6,5,7]=>[1,3,2,8,6,4,5,7]=>([(1,2),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,8,5,4,3,2,7,6]=>[1,8,2,7,3,4,5,6]=>[1,8,7,3,4,5,2,6]=>([(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,8,6,4,3,7,2,5]=>[1,8,2,5,3,7,4,6]=>[1,8,5,7,2,4,3,6]=>([(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[6,5,7,4,3,1,8,2]=>[1,8,2,3,4,5,7,6]=>[1,8,2,3,4,7,5,6]=>([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,4,7,5,1,3,8,2]=>[1,3,8,2,4,7,5,6]=>[1,8,3,2,7,5,4,6]=>([(1,2),(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,3,7,1,5,4,8,2]=>[1,5,2,3,7,4,8,6]=>[1,5,2,7,3,8,4,6]=>([(1,7),(2,3),(2,5),(3,6),(4,5),(4,7),(5,6),(6,7)],8)
[6,2,1,7,5,4,8,3]=>[1,7,2,3,4,8,5,6]=>[1,7,2,3,8,5,4,6]=>([(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[3,2,1,8,5,4,7,6]=>[1,8,2,3,4,7,5,6]=>[1,8,2,3,7,5,4,6]=>([(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,3,8,1,5,4,7,6]=>[1,5,2,3,8,4,7,6]=>[1,5,2,8,3,7,4,6]=>([(1,6),(2,5),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7)],8)
[2,4,8,5,1,3,7,6]=>[1,3,7,2,4,8,5,6]=>[1,7,3,2,8,5,4,6]=>([(1,2),(1,7),(2,7),(3,4),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[2,6,8,4,3,7,1,5]=>[1,5,2,6,8,3,7,4]=>[1,5,8,7,2,6,3,4]=>([(1,2),(1,4),(1,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,7,8,4,3,6,5,1]=>[1,2,7,8,3,6,4,5]=>[1,2,8,6,4,3,7,5]=>([(2,5),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,8,7,4,3,6,5,2]=>[1,8,2,3,6,4,5,7]=>[1,8,2,6,4,3,5,7]=>([(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,8,7,5,6,3,4,2]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>([(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[2,7,8,5,6,3,4,1]=>[1,2,7,8,3,4,5,6]=>[1,2,8,3,4,5,7,6]=>([(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[2,6,8,5,7,3,1,4]=>[1,4,2,6,8,3,5,7]=>[1,4,8,2,3,6,5,7]=>([(1,7),(2,5),(2,6),(3,4),(3,7),(4,7),(5,7),(6,7)],8)
[2,5,8,6,7,1,3,4]=>[1,3,4,2,5,8,6,7]=>[1,4,3,2,5,8,6,7]=>([(2,7),(3,7),(4,5),(4,6),(5,6)],8)
[3,2,1,8,6,7,4,5]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>([(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[5,2,1,7,6,8,4,3]=>[1,7,2,3,4,5,6,8]=>[1,7,2,3,4,5,6,8]=>([(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[5,3,7,1,6,8,4,2]=>[1,6,8,2,3,7,4,5]=>[1,8,2,7,4,6,3,5]=>([(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,4,7,6,1,8,3,2]=>[1,8,2,3,4,7,5,6]=>[1,8,2,3,7,5,4,6]=>([(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,5,7,6,8,1,3,2]=>[1,3,2,4,5,7,6,8]=>[1,3,2,4,5,7,6,8]=>([(4,7),(5,6)],8)
[4,6,7,5,8,3,1,2]=>[1,2,3,4,6,7,5,8]=>[1,2,3,4,7,6,5,8]=>([(5,6),(5,7),(6,7)],8)
[1,8,6,5,7,3,2,4]=>[1,8,2,4,3,5,7,6]=>[1,8,4,2,3,7,5,6]=>([(1,6),(1,7),(2,6),(2,7),(3,5),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[1,8,5,6,7,2,3,4]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>([(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[4,7,5,6,8,2,3,1]=>[1,2,3,4,7,5,6,8]=>[1,2,3,4,7,5,6,8]=>([(5,7),(6,7)],8)
[4,6,5,7,8,2,1,3]=>[1,3,2,4,6,5,7,8]=>[1,3,2,4,6,5,7,8]=>([(4,7),(5,6)],8)
[5,2,1,6,7,8,3,4]=>[1,6,7,8,2,3,4,5]=>[1,8,2,3,4,6,7,5]=>([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,2,1,5,7,3,8,4]=>[1,5,7,2,3,8,4,6]=>[1,7,2,8,5,4,3,6]=>([(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[6,3,5,1,7,2,8,4]=>[1,7,2,8,3,5,4,6]=>[1,7,8,5,3,4,2,6]=>([(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[6,5,4,7,2,1,8,3]=>[1,8,2,3,4,7,5,6]=>[1,8,2,3,7,5,4,6]=>([(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,6,4,7,2,8,1,3]=>[1,3,2,8,4,7,5,6]=>[1,3,2,8,7,5,4,6]=>([(1,2),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,8,4,6,2,7,3,5]=>[1,8,2,7,3,5,4,6]=>[1,8,7,5,3,4,2,6]=>([(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,7,3,2,6,8,4,1]=>[1,2,6,8,3,4,5,7]=>[1,2,8,3,4,6,5,7]=>([(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[5,6,3,2,7,8,1,4]=>[1,4,2,7,8,3,5,6]=>[1,4,8,2,3,5,7,6]=>([(1,7),(2,5),(2,6),(3,4),(3,7),(4,7),(5,7),(6,7)],8)
[6,5,3,2,7,1,8,4]=>[1,8,2,7,3,4,5,6]=>[1,8,7,3,4,5,2,6]=>([(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,4,3,2,1,7,8,5]=>[1,7,8,2,3,4,5,6]=>[1,8,2,3,4,5,7,6]=>([(1,7),(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[6,2,1,4,3,7,8,5]=>[1,4,2,3,7,8,5,6]=>[1,4,2,3,8,5,7,6]=>([(1,7),(2,4),(3,4),(5,6),(5,7),(6,7)],8)
[5,2,1,4,3,8,7,6]=>[1,4,2,3,8,5,6,7]=>[1,4,2,3,8,5,6,7]=>([(1,7),(2,7),(3,7),(4,6),(5,6)],8)
[5,3,4,1,2,8,7,6]=>[1,2,8,3,4,5,6,7]=>[1,2,8,3,4,5,6,7]=>([(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[4,6,3,2,8,7,1,5]=>[1,5,2,8,3,4,6,7]=>[1,5,8,3,2,4,6,7]=>([(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[4,7,3,2,8,6,5,1]=>[1,2,8,3,4,7,5,6]=>[1,2,8,3,7,5,4,6]=>([(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,8,3,2,7,6,5,4]=>[1,8,2,7,3,4,5,6]=>[1,8,7,3,4,5,2,6]=>([(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,8,4,7,2,6,5,3]=>[1,8,2,6,3,4,7,5]=>[1,8,6,3,7,2,4,5]=>([(1,4),(1,6),(1,7),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[3,7,4,8,2,6,5,1]=>[1,2,6,3,7,4,8,5]=>[1,2,6,7,8,3,4,5]=>([(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[3,6,4,8,2,7,1,5]=>[1,5,2,7,3,6,4,8]=>[1,5,7,6,2,3,4,8]=>([(2,3),(2,4),(2,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,5,4,8,2,1,7,6]=>[1,7,2,3,5,4,8,6]=>[1,7,2,5,3,8,4,6]=>([(1,7),(2,3),(2,7),(3,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,4,5,8,1,2,7,6]=>[1,2,7,3,4,5,8,6]=>[1,2,7,3,4,8,5,6]=>([(2,7),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[4,3,5,1,8,2,7,6]=>[1,8,2,7,3,5,4,6]=>[1,8,7,5,3,4,2,6]=>([(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,2,1,6,8,7,3,5]=>[1,6,8,2,3,5,4,7]=>[1,8,2,5,3,6,4,7]=>([(1,7),(2,7),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[4,3,6,1,8,7,2,5]=>[1,8,2,5,3,6,4,7]=>[1,8,5,6,2,3,4,7]=>([(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[3,4,6,8,1,7,2,5]=>[1,7,2,5,3,4,6,8]=>[1,7,5,3,2,4,6,8]=>([(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,5,6,8,7,1,2,4]=>[1,2,4,3,5,6,8,7]=>[1,2,4,3,5,6,8,7]=>([(4,7),(5,6)],8)
[3,6,5,8,7,2,1,4]=>[1,4,2,3,6,5,8,7]=>[1,4,2,3,6,5,8,7]=>([(1,4),(2,3),(5,7),(6,7)],8)
[3,7,5,8,6,2,4,1]=>[1,2,4,3,7,5,8,6]=>[1,2,4,3,7,8,5,6]=>([(2,3),(4,6),(4,7),(5,6),(5,7)],8)
[1,8,5,7,6,2,4,3]=>[1,8,2,4,3,5,7,6]=>[1,8,4,2,3,7,5,6]=>([(1,6),(1,7),(2,6),(2,7),(3,5),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[1,8,6,7,5,4,2,3]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>([(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[3,6,7,8,5,4,1,2]=>[1,2,3,6,7,8,4,5]=>[1,2,3,8,4,6,7,5]=>([(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,5,7,8,6,1,4,2]=>[1,4,2,3,5,7,8,6]=>[1,4,2,3,5,8,7,6]=>([(2,7),(3,7),(4,5),(4,6),(5,6)],8)
[4,2,1,7,8,6,5,3]=>[1,7,8,2,3,4,5,6]=>[1,8,2,3,4,5,7,6]=>([(1,7),(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[2,3,8,1,7,6,5,4]=>[1,7,2,3,8,4,5,6]=>[1,7,2,8,4,5,3,6]=>([(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[2,4,8,7,1,6,5,3]=>[1,6,2,4,8,3,5,7]=>[1,6,8,2,3,4,5,7]=>([(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[2,6,8,7,5,4,1,3]=>[1,3,2,6,8,4,5,7]=>[1,3,2,8,4,6,5,7]=>([(1,2),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>([],12)
[7,4,6,1,8,3,5,2]=>[1,8,2,3,5,4,6,7]=>[1,8,2,5,3,4,6,7]=>([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,3,5,1,7,4,6,2]=>[1,7,2,3,5,4,6,8]=>[1,7,2,5,3,4,6,8]=>([(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,3,4,1,7,5,6,2]=>[1,7,2,3,4,5,6,8]=>[1,7,2,3,4,5,6,8]=>([(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[4,8,3,1,7,5,6,2]=>[1,7,2,3,4,8,5,6]=>[1,7,2,3,8,5,4,6]=>([(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[4,6,2,1,7,5,8,3]=>[1,7,2,3,4,6,5,8]=>[1,7,2,3,6,4,5,8]=>([(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,4,6,2,7,5,8,3]=>[1,4,6,2,7,3,5,8]=>[1,6,7,4,3,2,5,8]=>([(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[7,5,2,1,6,8,4,3]=>[1,6,8,2,3,4,5,7]=>[1,8,2,3,4,6,5,7]=>([(1,7),(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[6,8,4,3,1,7,5,2]=>[1,7,2,3,4,5,6,8]=>[1,7,2,3,4,5,6,8]=>([(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[3,6,7,5,1,8,4,2]=>[1,8,2,3,6,7,4,5]=>[1,8,2,7,4,3,6,5]=>([(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,5,6,1,8,3,4,2]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>([(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[3,4,6,5,7,1,8,2]=>[1,8,2,3,4,6,5,7]=>[1,8,2,3,6,4,5,7]=>([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,7,5,6,1,8,3,2]=>[1,8,2,3,4,7,5,6]=>[1,8,2,3,7,5,4,6]=>([(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,7,5,1,8,4,3,2]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>([(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[6,8,4,1,7,5,3,2]=>[1,7,2,3,4,5,6,8]=>[1,7,2,3,4,5,6,8]=>([(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[6,7,5,3,1,8,4,2]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>([(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[8,4,2,1,6,7,5,3]=>[1,6,7,2,3,4,5,8]=>[1,7,2,3,4,6,5,8]=>([(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[1,5,3,2,7,6,8,4]=>[1,5,2,7,3,4,6,8]=>[1,5,7,3,2,4,6,8]=>([(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[5,3,2,1,7,6,8,4]=>[1,7,2,3,4,5,6,8]=>[1,7,2,3,4,5,6,8]=>([(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[2,5,3,1,7,6,8,4]=>[1,7,2,5,3,4,6,8]=>[1,7,5,3,2,4,6,8]=>([(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,4,6,1,7,5,8,3]=>[1,7,2,4,6,3,5,8]=>[1,7,6,2,3,4,5,8]=>([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,7,1,6,5,8,2,3]=>[1,6,2,3,4,7,5,8]=>[1,6,2,3,7,4,5,8]=>([(2,7),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[4,8,2,6,5,7,1,3]=>[1,3,2,6,4,8,5,7]=>[1,3,2,6,8,4,5,7]=>([(1,2),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[4,6,1,2,7,5,8,3]=>[1,2,7,3,4,6,5,8]=>[1,2,7,3,6,4,5,8]=>([(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,5,1,2,6,8,4,3]=>[1,2,6,8,3,4,5,7]=>[1,2,8,3,4,6,5,7]=>([(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[8,4,1,2,6,7,5,3]=>[1,2,6,7,3,4,5,8]=>[1,2,7,3,4,6,5,8]=>([(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[5,3,1,2,7,6,8,4]=>[1,2,7,3,4,5,6,8]=>[1,2,7,3,4,5,6,8]=>([(3,7),(4,7),(5,7),(6,7)],8)
[1,2,5,3,7,6,8,4]=>[1,2,5,3,7,4,6,8]=>[1,2,5,7,3,4,6,8]=>([(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[4,3,1,2,7,6,8,5]=>[1,2,7,3,4,5,6,8]=>[1,2,7,3,4,5,6,8]=>([(3,7),(4,7),(5,7),(6,7)],8)
[3,5,1,2,7,6,8,4]=>[1,2,7,3,5,4,6,8]=>[1,2,7,5,3,4,6,8]=>([(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,7,1,5,8,2,3,4]=>[1,5,8,2,3,4,6,7]=>[1,8,2,3,5,4,6,7]=>([(1,7),(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[2,7,6,1,5,8,3,4]=>[1,5,8,2,7,3,4,6]=>[1,8,7,3,5,4,2,6]=>([(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,3,5,1,7,6,8,4]=>[1,7,2,3,5,4,6,8]=>[1,7,2,5,3,4,6,8]=>([(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,6,1,5,8,3,2,4]=>[1,5,8,2,4,3,6,7]=>[1,8,4,2,5,3,6,7]=>([(1,7),(2,7),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[3,6,7,1,5,8,2,4]=>[1,5,8,2,4,3,6,7]=>[1,8,4,2,5,3,6,7]=>([(1,7),(2,7),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[7,1,6,5,8,2,4,3]=>[1,6,2,4,3,5,8,7]=>[1,6,4,2,3,5,8,7]=>([(1,2),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,5,1,6,8,4,2,3]=>[1,6,8,2,3,4,5,7]=>[1,8,2,3,4,6,5,7]=>([(1,7),(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[8,4,1,6,7,5,2,3]=>[1,6,7,2,3,4,5,8]=>[1,7,2,3,4,6,5,8]=>([(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[5,2,3,1,7,6,8,4]=>[1,7,2,3,4,5,6,8]=>[1,7,2,3,4,5,6,8]=>([(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[3,5,2,1,7,6,8,4]=>[1,7,2,3,5,4,6,8]=>[1,7,2,5,3,4,6,8]=>([(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,3,5,2,7,6,8,4]=>[1,3,5,2,7,4,6,8]=>[1,5,3,7,2,4,6,8]=>([(2,7),(3,5),(3,6),(4,6),(4,7),(5,6),(5,7)],8)
[7,6,2,1,5,8,3,4]=>[1,5,8,2,3,4,6,7]=>[1,8,2,3,5,4,6,7]=>([(1,7),(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[8,3,1,5,7,6,2,4]=>[1,5,7,2,4,3,6,8]=>[1,7,4,2,5,3,6,8]=>([(2,7),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[6,2,4,1,7,5,8,3]=>[1,7,2,4,3,5,8,6]=>[1,7,4,2,3,8,5,6]=>([(1,2),(1,3),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,2,5,1,7,4,8,3]=>[1,7,2,5,3,4,8,6]=>[1,7,5,3,2,8,4,6]=>([(1,2),(1,5),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,1,6,4,8,2,5,3]=>[1,6,2,5,3,4,8,7]=>[1,6,5,3,2,4,8,7]=>([(1,2),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,2,6,4,7,1,5,3]=>[1,5,2,6,3,4,7,8]=>[1,5,6,3,2,4,7,8]=>([(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[6,1,5,2,7,4,8,3]=>[1,5,2,7,3,4,8,6]=>[1,5,7,3,2,8,4,6]=>([(1,2),(1,6),(2,7),(3,4),(3,5),(3,6),(4,5),(4,7),(5,7),(6,7)],8)
[8,3,5,7,6,2,1,4]=>[1,4,2,3,5,7,6,8]=>[1,4,2,3,5,7,6,8]=>([(3,4),(5,7),(6,7)],8)
[1,8,3,5,7,6,2,4]=>[1,8,2,4,3,5,7,6]=>[1,8,4,2,3,7,5,6]=>([(1,6),(1,7),(2,6),(2,7),(3,5),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[1,5,2,3,7,6,8,4]=>[1,5,2,3,7,4,6,8]=>[1,5,2,7,3,4,6,8]=>([(2,7),(3,6),(4,6),(4,7),(5,6),(5,7)],8)
[5,2,1,3,7,6,8,4]=>[1,3,7,2,4,5,6,8]=>[1,7,3,2,4,5,6,8]=>([(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[7,5,2,6,8,4,1,3]=>[1,3,2,6,8,4,5,7]=>[1,3,2,8,4,6,5,7]=>([(1,2),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[8,4,2,6,7,5,1,3]=>[1,3,2,6,7,4,5,8]=>[1,3,2,7,4,6,5,8]=>([(2,3),(4,7),(5,6),(5,7),(6,7)],8)
[6,1,4,2,7,5,8,3]=>[1,4,2,7,3,5,8,6]=>[1,4,7,2,3,8,5,6]=>([(1,5),(1,6),(2,3),(2,4),(3,7),(4,7),(5,7),(6,7)],8)
[8,2,6,5,7,1,4,3]=>[1,4,2,6,3,5,7,8]=>[1,4,6,2,3,5,7,8]=>([(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[3,6,8,2,5,7,1,4]=>[1,4,2,5,7,3,6,8]=>[1,4,7,2,5,3,6,8]=>([(2,7),(3,4),(3,7),(4,6),(5,6),(5,7),(6,7)],8)
[8,3,2,5,7,6,1,4]=>[1,4,2,5,7,3,6,8]=>[1,4,7,2,5,3,6,8]=>([(2,7),(3,4),(3,7),(4,6),(5,6),(5,7),(6,7)],8)
[5,1,3,2,7,6,8,4]=>[1,3,2,7,4,5,6,8]=>[1,3,2,7,4,5,6,8]=>([(2,3),(4,7),(5,7),(6,7)],8)
[4,1,3,2,7,6,8,5]=>[1,3,2,7,4,5,6,8]=>[1,3,2,7,4,5,6,8]=>([(2,3),(4,7),(5,7),(6,7)],8)
[4,2,1,3,7,6,8,5]=>[1,3,7,2,4,5,6,8]=>[1,7,3,2,4,5,6,8]=>([(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[1,4,2,3,7,6,8,5]=>[1,4,2,3,7,5,6,8]=>[1,4,2,3,7,5,6,8]=>([(2,7),(3,7),(4,6),(5,6)],8)
[2,4,1,3,7,6,8,5]=>[1,3,7,2,4,5,6,8]=>[1,7,3,2,4,5,6,8]=>([(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[2,5,1,3,7,6,8,4]=>[1,3,7,2,5,4,6,8]=>[1,7,3,5,2,4,6,8]=>([(2,7),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[6,8,2,3,5,7,1,4]=>[1,4,2,3,5,7,6,8]=>[1,4,2,3,5,7,6,8]=>([(3,4),(5,7),(6,7)],8)
[6,7,1,3,5,8,2,4]=>[1,3,5,8,2,4,6,7]=>[1,8,3,2,5,4,6,7]=>([(1,7),(2,7),(3,6),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[8,3,5,7,6,1,2,4]=>[1,2,4,3,5,7,6,8]=>[1,2,4,3,5,7,6,8]=>([(4,7),(5,6)],8)
[5,1,2,3,7,6,8,4]=>[1,2,3,7,4,5,6,8]=>[1,2,3,7,4,5,6,8]=>([(4,7),(5,7),(6,7)],8)
[3,1,2,4,7,6,8,5]=>[1,2,4,7,3,5,6,8]=>[1,2,7,4,3,5,6,8]=>([(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[10,8,9,5,6,7,1,2,3,4]=>[1,2,3,4,5,6,7,8,9,10]=>[1,2,3,4,5,6,7,8,9,10]=>([],10)
[9,8,10,5,6,7,1,2,3,4]=>[1,2,3,4,5,6,7,8,10,9]=>[1,2,3,4,5,6,7,8,10,9]=>([(8,9)],10)
[8,1,2,4,3,6,5,7]=>[1,2,4,3,6,5,7,8]=>[1,2,4,3,6,5,7,8]=>([(4,7),(5,6)],8)
[8,1,3,5,6,2,7,4]=>[1,3,5,6,2,7,4,8]=>[1,6,3,7,5,2,4,8]=>([(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[8,1,3,4,2,6,7,5]=>[1,3,4,2,6,7,5,8]=>[1,4,3,2,7,6,5,8]=>([(2,6),(2,7),(3,4),(3,5),(4,5),(6,7)],8)
[8,1,3,2,4,5,7,6]=>[1,3,2,4,5,7,6,8]=>[1,3,2,4,5,7,6,8]=>([(4,7),(5,6)],8)
[2,7,8,3,4,5,6,1]=>[1,2,7,8,3,4,5,6]=>[1,2,8,3,4,5,7,6]=>([(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[2,6,3,8,4,5,7,1]=>[1,2,6,3,8,4,5,7]=>[1,2,6,8,4,3,5,7]=>([(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[7,3,1,4,2,6,8,5]=>[1,4,2,6,8,3,5,7]=>[1,4,8,2,3,6,5,7]=>([(1,7),(2,5),(2,6),(3,4),(3,7),(4,7),(5,7),(6,7)],8)
[7,4,1,5,6,8,2,3]=>[1,5,6,8,2,3,4,7]=>[1,8,2,3,5,6,4,7]=>([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,7,8,5,6,1,2,3]=>[1,2,3,4,7,8,5,6]=>[1,2,3,4,8,5,7,6]=>([(4,7),(5,6),(5,7),(6,7)],8)
[3,7,8,5,6,2,1,4]=>[1,4,2,3,7,8,5,6]=>[1,4,2,3,8,5,7,6]=>([(1,7),(2,4),(3,4),(5,6),(5,7),(6,7)],8)
[3,7,8,4,2,6,1,5]=>[1,5,2,6,3,7,8,4]=>[1,5,6,8,2,3,7,4]=>([(1,6),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(4,6),(5,6),(6,7)],8)
[3,6,2,8,4,5,1,7]=>[1,7,2,8,3,6,4,5]=>[1,7,8,6,4,3,2,5]=>([(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[2,3,6,7,4,5,8,1]=>[1,2,3,6,7,4,5,8]=>[1,2,3,7,4,6,5,8]=>([(4,7),(5,6),(5,7),(6,7)],8)
[3,5,4,2,8,7,1,6]=>[1,6,2,8,3,5,4,7]=>[1,6,8,5,3,2,4,7]=>([(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[4,6,5,8,7,1,2,3]=>[1,2,3,4,6,5,8,7]=>[1,2,3,4,6,5,8,7]=>([(4,7),(5,6)],8)
[6,4,5,1,7,8,2,3]=>[1,7,8,2,3,4,5,6]=>[1,8,2,3,4,5,7,6]=>([(1,7),(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[7,4,1,2,3,8,5,6]=>[1,2,3,8,4,5,6,7]=>[1,2,3,8,4,5,6,7]=>([(3,7),(4,7),(5,7),(6,7)],8)
[6,2,4,1,3,7,5,8]=>[1,3,7,2,4,5,8,6]=>[1,7,3,2,4,8,5,6]=>([(1,7),(2,5),(2,6),(3,4),(3,7),(4,7),(5,7),(6,7)],8)
[2,6,4,8,3,7,5,1]=>[1,2,6,3,7,4,8,5]=>[1,2,6,7,8,3,4,5]=>([(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[2,6,5,8,7,3,4,1]=>[1,2,6,3,4,5,8,7]=>[1,2,6,3,4,5,8,7]=>([(2,3),(4,7),(5,7),(6,7)],8)
[6,2,5,1,7,3,4,8]=>[1,7,2,5,3,4,8,6]=>[1,7,5,3,2,8,4,6]=>([(1,2),(1,5),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,5,2,1,8,3,4,7]=>[1,8,2,3,4,7,5,6]=>[1,8,2,3,7,5,4,6]=>([(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,5,6,7,8,3,4,1]=>[1,2,5,6,7,8,3,4]=>[1,2,8,3,5,6,7,4]=>([(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,4,6,7,3,8,5,1]=>[1,2,4,6,7,3,8,5]=>[1,2,7,4,8,6,3,5]=>([(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[4,2,6,7,3,1,5,8]=>[1,5,8,2,6,7,3,4]=>[1,8,7,3,5,2,6,4]=>([(1,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,6,4,8,1,7,2,3]=>[1,7,2,3,4,8,5,6]=>[1,7,2,3,8,5,4,6]=>([(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[5,6,3,8,1,2,7,4]=>[1,2,7,3,8,4,5,6]=>[1,2,7,8,4,5,3,6]=>([(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[4,2,5,3,7,1,6,8]=>[1,6,8,2,5,3,7,4]=>[1,8,5,7,2,6,3,4]=>([(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[4,3,6,7,2,1,8,5]=>[1,8,2,3,6,7,4,5]=>[1,8,2,7,4,3,6,5]=>([(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,4,6,7,2,8,1,5]=>[1,5,2,8,3,4,6,7]=>[1,5,8,3,2,4,6,7]=>([(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[3,4,5,2,7,8,1,6]=>[1,6,2,7,8,3,4,5]=>[1,6,8,3,4,2,7,5]=>([(1,4),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(6,7)],8)
[5,2,7,8,6,4,1,3]=>[1,3,2,7,8,4,5,6]=>[1,3,2,8,4,5,7,6]=>([(1,2),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[5,1,2,7,8,6,4,3]=>[1,2,7,8,3,4,5,6]=>[1,2,8,3,4,5,7,6]=>([(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[4,7,1,8,6,5,2,3]=>[1,8,2,3,4,7,5,6]=>[1,8,2,3,7,5,4,6]=>([(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,7,1,2,8,6,5,3]=>[1,2,8,3,4,7,5,6]=>[1,2,8,3,7,5,4,6]=>([(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,8,7,1,5,3,2,4]=>[1,5,2,4,3,6,8,7]=>[1,5,4,2,3,6,8,7]=>([(2,3),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,8,7,3,5,1,2,4]=>[1,2,4,3,5,6,8,7]=>[1,2,4,3,5,6,8,7]=>([(4,7),(5,6)],8)
[7,8,1,6,3,5,2,4]=>[1,6,2,4,3,5,7,8]=>[1,6,4,2,3,5,7,8]=>([(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,8,1,3,6,5,2,4]=>[1,3,6,2,4,5,7,8]=>[1,6,3,2,4,5,7,8]=>([(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[7,8,3,6,5,2,1,4]=>[1,4,2,3,6,5,7,8]=>[1,4,2,3,6,5,7,8]=>([(3,4),(5,7),(6,7)],8)
[4,7,2,8,6,1,5,3]=>[1,5,2,8,3,4,7,6]=>[1,5,8,3,2,7,4,6]=>([(1,6),(1,7),(2,3),(2,4),(2,5),(3,4),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[1,7,3,4,8,6,5,2]=>[1,7,2,3,4,8,5,6]=>[1,7,2,3,8,5,4,6]=>([(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[4,2,7,1,8,6,5,3]=>[1,8,2,7,3,4,5,6]=>[1,8,7,3,4,5,2,6]=>([(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,8,2,3,6,5,1,4]=>[1,4,2,3,6,5,7,8]=>[1,4,2,3,6,5,7,8]=>([(3,4),(5,7),(6,7)],8)
[8,5,7,1,6,2,3,4]=>[1,6,2,3,4,5,7,8]=>[1,6,2,3,4,5,7,8]=>([(3,7),(4,7),(5,7),(6,7)],8)
[8,5,7,1,2,6,3,4]=>[1,2,6,3,4,5,7,8]=>[1,2,6,3,4,5,7,8]=>([(4,7),(5,7),(6,7)],8)
[6,8,2,7,1,3,5,4]=>[1,3,5,2,7,4,6,8]=>[1,5,3,7,2,4,6,8]=>([(2,7),(3,5),(3,6),(4,6),(4,7),(5,6),(5,7)],8)
[6,2,4,8,7,1,5,3]=>[1,5,2,4,8,3,6,7]=>[1,5,8,2,4,3,6,7]=>([(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[1,6,8,3,7,4,5,2]=>[1,6,8,2,3,7,4,5]=>[1,8,2,7,4,6,3,5]=>([(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,6,8,3,4,7,5,2]=>[1,6,8,2,3,4,7,5]=>[1,8,2,3,7,6,4,5]=>([(1,7),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,8,7,2,3,5,1,4]=>[1,4,2,3,5,6,8,7]=>[1,4,2,3,5,6,8,7]=>([(3,4),(5,7),(6,7)],8)
[6,8,2,1,7,3,5,4]=>[1,7,2,3,5,4,6,8]=>[1,7,2,5,3,4,6,8]=>([(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,5,7,2,1,6,3,4]=>[1,6,2,3,4,5,7,8]=>[1,6,2,3,4,5,7,8]=>([(3,7),(4,7),(5,7),(6,7)],8)
[8,5,7,1,2,3,6,4]=>[1,2,3,6,4,5,7,8]=>[1,2,3,6,4,5,7,8]=>([(5,7),(6,7)],8)
[8,7,6,2,1,4,3,5]=>[1,4,2,3,5,6,7,8]=>[1,4,2,3,5,6,7,8]=>([(5,7),(6,7)],8)
[8,5,7,2,3,1,6,4]=>[1,6,2,3,4,5,7,8]=>[1,6,2,3,4,5,7,8]=>([(3,7),(4,7),(5,7),(6,7)],8)
[5,8,4,2,7,1,6,3]=>[1,6,2,7,3,4,5,8]=>[1,6,7,3,4,2,5,8]=>([(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[1,8,7,5,3,4,6,2]=>[1,8,2,3,4,6,5,7]=>[1,8,2,3,6,4,5,7]=>([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,8,7,3,5,4,6,2]=>[1,8,2,3,5,4,6,7]=>[1,8,2,5,3,4,6,7]=>([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,2,5,4,7,1,6,3]=>[1,6,2,5,3,4,7,8]=>[1,6,5,3,2,4,7,8]=>([(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,5,2,7,3,1,6,4]=>[1,6,2,7,3,4,5,8]=>[1,6,7,3,4,2,5,8]=>([(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[8,7,6,2,4,3,1,5]=>[1,5,2,4,3,6,7,8]=>[1,5,4,2,3,6,7,8]=>([(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,7,6,1,2,4,3,5]=>[1,2,4,3,5,6,7,8]=>[1,2,4,3,5,6,7,8]=>([(6,7)],8)
[8,7,6,1,4,2,3,5]=>[1,4,2,3,5,6,7,8]=>[1,4,2,3,5,6,7,8]=>([(5,7),(6,7)],8)
[8,7,6,4,1,3,2,5]=>[1,3,2,5,4,6,7,8]=>[1,3,2,5,4,6,7,8]=>([(4,7),(5,6)],8)
[5,8,4,7,2,1,6,3]=>[1,6,2,3,4,7,5,8]=>[1,6,2,3,7,4,5,8]=>([(2,7),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[1,8,7,5,4,3,6,2]=>[1,8,2,3,6,4,5,7]=>[1,8,2,6,4,3,5,7]=>([(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,6,8,4,3,7,5,2]=>[1,6,8,2,3,7,4,5]=>[1,8,2,7,4,6,3,5]=>([(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,8,1,7,3,2,5,4]=>[1,7,2,5,3,4,6,8]=>[1,7,5,3,2,4,6,8]=>([(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,5,7,3,1,6,2,4]=>[1,6,2,4,3,5,7,8]=>[1,6,4,2,3,5,7,8]=>([(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,5,7,1,3,2,6,4]=>[1,3,2,6,4,5,7,8]=>[1,3,2,6,4,5,7,8]=>([(3,4),(5,7),(6,7)],8)
[8,5,7,3,1,2,6,4]=>[1,2,6,3,4,5,7,8]=>[1,2,6,3,4,5,7,8]=>([(4,7),(5,7),(6,7)],8)
[5,8,4,7,1,2,6,3]=>[1,2,6,3,4,7,5,8]=>[1,2,6,3,7,4,5,8]=>([(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[5,8,4,1,7,2,6,3]=>[1,7,2,6,3,4,5,8]=>[1,7,6,3,4,2,5,8]=>([(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,8,4,7,1,6,2,3]=>[1,6,2,3,4,7,5,8]=>[1,6,2,3,7,4,5,8]=>([(2,7),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[8,1,2,6,5,7,4,3]=>[1,2,6,3,4,5,7,8]=>[1,2,6,3,4,5,7,8]=>([(4,7),(5,7),(6,7)],8)
[4,8,5,7,1,6,2,3]=>[1,6,2,3,4,8,5,7]=>[1,6,2,3,8,4,5,7]=>([(1,7),(2,7),(3,6),(4,6),(4,7),(5,6),(5,7)],8)
[4,8,5,7,1,2,6,3]=>[1,2,6,3,4,8,5,7]=>[1,2,6,3,8,4,5,7]=>([(2,7),(3,6),(4,6),(4,7),(5,6),(5,7)],8)
[4,8,5,1,7,2,6,3]=>[1,7,2,6,3,4,8,5]=>[1,7,6,3,8,2,4,5]=>([(1,3),(1,6),(1,7),(2,3),(2,6),(2,7),(3,5),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,5,3,1,7,2,6,4]=>[1,7,2,6,3,4,5,8]=>[1,7,6,3,4,2,5,8]=>([(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,5,3,7,1,2,6,4]=>[1,2,6,3,7,4,5,8]=>[1,2,6,7,4,3,5,8]=>([(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[6,8,1,3,7,2,5,4]=>[1,3,7,2,5,4,6,8]=>[1,7,3,5,2,4,6,8]=>([(2,7),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[1,6,4,8,3,7,5,2]=>[1,6,2,3,7,4,8,5]=>[1,6,2,7,8,3,4,5]=>([(1,7),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8)
[1,8,7,4,5,3,6,2]=>[1,8,2,3,6,4,5,7]=>[1,8,2,6,4,3,5,7]=>([(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,8,5,7,2,1,6,3]=>[1,6,2,3,4,8,5,7]=>[1,6,2,3,8,4,5,7]=>([(1,7),(2,7),(3,6),(4,6),(4,7),(5,6),(5,7)],8)
[8,7,6,3,1,4,2,5]=>[1,4,2,5,3,6,7,8]=>[1,4,5,2,3,6,7,8]=>([(4,6),(4,7),(5,6),(5,7)],8)
[8,7,6,1,3,2,4,5]=>[1,3,2,4,5,6,7,8]=>[1,3,2,4,5,6,7,8]=>([(6,7)],8)
[8,5,3,2,7,1,6,4]=>[1,6,2,7,3,4,5,8]=>[1,6,7,3,4,2,5,8]=>([(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[1,8,7,4,3,5,6,2]=>[1,8,2,3,5,6,4,7]=>[1,8,2,6,3,5,4,7]=>([(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,8,7,3,4,5,6,2]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>([(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[6,3,1,5,4,2,8,7]=>[1,5,2,8,3,4,6,7]=>[1,5,8,3,2,4,6,7]=>([(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[8,3,1,5,2,7,6,4]=>[1,5,2,7,3,4,6,8]=>[1,5,7,3,2,4,6,8]=>([(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[8,5,4,2,1,7,3,6]=>[1,7,2,3,6,4,5,8]=>[1,7,2,6,4,3,5,8]=>([(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,5,4,2,1,7,6,3]=>[1,7,2,3,4,5,6,8]=>[1,7,2,3,4,5,6,8]=>([(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[6,5,4,2,1,3,8,7]=>[1,3,8,2,4,5,6,7]=>[1,8,3,2,4,5,6,7]=>([(1,7),(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[6,5,4,2,3,1,8,7]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>([(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[6,3,2,5,1,4,8,7]=>[1,4,8,2,5,3,6,7]=>[1,8,5,4,2,3,6,7]=>([(1,7),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,5,4,3,1,2,8,7]=>[1,2,8,3,4,5,6,7]=>[1,2,8,3,4,5,6,7]=>([(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[6,5,4,1,3,2,8,7]=>[1,3,2,8,4,5,6,7]=>[1,3,2,8,4,5,6,7]=>([(1,2),(3,7),(4,7),(5,7),(6,7)],8)
[8,5,4,1,2,7,6,3]=>[1,2,7,3,4,5,6,8]=>[1,2,7,3,4,5,6,8]=>([(3,7),(4,7),(5,7),(6,7)],8)
[8,7,4,1,6,3,2,5]=>[1,6,2,5,3,4,7,8]=>[1,6,5,3,2,4,7,8]=>([(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,7,4,1,6,3,5,2]=>[1,6,2,3,5,4,7,8]=>[1,6,2,5,3,4,7,8]=>([(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,7,4,1,6,5,3,2]=>[1,6,2,3,4,5,7,8]=>[1,6,2,3,4,5,7,8]=>([(3,7),(4,7),(5,7),(6,7)],8)
[8,5,4,1,3,7,6,2]=>[1,3,7,2,4,5,6,8]=>[1,7,3,2,4,5,6,8]=>([(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[8,5,4,3,1,7,6,2]=>[1,7,2,3,4,5,6,8]=>[1,7,2,3,4,5,6,8]=>([(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[8,3,2,5,1,7,6,4]=>[1,7,2,5,3,4,6,8]=>[1,7,5,3,2,4,6,8]=>([(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,1,8,5,3,7,6,4]=>[1,8,2,3,7,4,5,6]=>[1,8,2,7,4,5,3,6]=>([(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,3,2,5,1,7,4,6]=>[1,7,2,5,3,4,6,8]=>[1,7,5,3,2,4,6,8]=>([(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,5,4,3,1,7,2,6]=>[1,7,2,6,3,4,5,8]=>[1,7,6,3,4,2,5,8]=>([(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,7,4,1,6,5,2,3]=>[1,6,2,3,4,5,7,8]=>[1,6,2,3,4,5,7,8]=>([(3,7),(4,7),(5,7),(6,7)],8)
[8,7,4,1,6,2,5,3]=>[1,6,2,5,3,4,7,8]=>[1,6,5,3,2,4,7,8]=>([(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,7,6,5,2,1,4,3]=>[1,4,2,3,5,6,7,8]=>[1,4,2,3,5,6,7,8]=>([(5,7),(6,7)],8)
[8,7,4,3,6,2,1,5]=>[1,5,2,3,6,4,7,8]=>[1,5,2,6,3,4,7,8]=>([(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[8,3,2,7,6,4,1,5]=>[1,5,2,7,3,4,6,8]=>[1,5,7,3,2,4,6,8]=>([(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[2,1,8,7,6,4,3,5]=>[1,8,2,3,5,4,6,7]=>[1,8,2,5,3,4,6,7]=>([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,1,8,7,6,4,5,3]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>([(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[8,3,2,7,6,4,5,1]=>[1,2,7,3,4,5,6,8]=>[1,2,7,3,4,5,6,8]=>([(3,7),(4,7),(5,7),(6,7)],8)
[8,7,4,3,6,2,5,1]=>[1,2,5,3,6,4,7,8]=>[1,2,5,6,3,4,7,8]=>([(4,6),(4,7),(5,6),(5,7)],8)
[8,7,6,5,2,4,3,1]=>[1,2,4,3,5,6,7,8]=>[1,2,4,3,5,6,7,8]=>([(6,7)],8)
[8,5,4,2,3,7,6,1]=>[1,2,3,7,4,5,6,8]=>[1,2,3,7,4,5,6,8]=>([(4,7),(5,7),(6,7)],8)
[8,7,4,2,6,5,3,1]=>[1,2,6,3,4,5,7,8]=>[1,2,6,3,4,5,7,8]=>([(4,7),(5,7),(6,7)],8)
[8,7,4,2,6,3,5,1]=>[1,2,6,3,5,4,7,8]=>[1,2,6,5,3,4,7,8]=>([(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,7,4,2,6,3,1,5]=>[1,5,2,6,3,4,7,8]=>[1,5,6,3,2,4,7,8]=>([(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[8,3,1,7,6,4,2,5]=>[1,7,2,5,3,4,6,8]=>[1,7,5,3,2,4,6,8]=>([(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,3,1,7,6,4,5,2]=>[1,7,2,3,4,5,6,8]=>[1,7,2,3,4,5,6,8]=>([(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[8,3,1,7,6,5,4,2]=>[1,7,2,3,4,5,6,8]=>[1,7,2,3,4,5,6,8]=>([(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[8,3,1,5,4,7,6,2]=>[1,5,2,3,4,7,6,8]=>[1,5,2,3,4,7,6,8]=>([(2,3),(4,7),(5,7),(6,7)],8)
[8,3,1,5,4,7,2,6]=>[1,5,2,6,3,4,7,8]=>[1,5,6,3,2,4,7,8]=>([(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[8,3,1,7,6,5,2,4]=>[1,7,2,4,3,5,6,8]=>[1,7,4,2,3,5,6,8]=>([(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,3,1,7,6,2,5,4]=>[1,7,2,5,3,4,6,8]=>[1,7,5,3,2,4,6,8]=>([(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,7,4,2,6,1,5,3]=>[1,5,2,6,3,4,7,8]=>[1,5,6,3,2,4,7,8]=>([(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[8,7,4,2,6,5,1,3]=>[1,3,2,6,4,5,7,8]=>[1,3,2,6,4,5,7,8]=>([(3,4),(5,7),(6,7)],8)
[8,3,2,5,4,7,1,6]=>[1,6,2,5,3,4,7,8]=>[1,6,5,3,2,4,7,8]=>([(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,1,8,5,4,7,3,6]=>[1,8,2,3,6,4,7,5]=>[1,8,2,6,7,3,4,5]=>([(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[8,3,2,7,6,5,1,4]=>[1,4,2,7,3,5,6,8]=>[1,4,7,2,3,5,6,8]=>([(2,7),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[8,7,4,3,6,5,1,2]=>[1,2,3,6,4,5,7,8]=>[1,2,3,6,4,5,7,8]=>([(5,7),(6,7)],8)
[8,7,6,5,3,1,4,2]=>[1,4,2,3,5,6,7,8]=>[1,4,2,3,5,6,7,8]=>([(5,7),(6,7)],8)
[8,7,6,5,1,3,2,4]=>[1,3,2,4,5,6,7,8]=>[1,3,2,4,5,6,7,8]=>([(6,7)],8)
[8,7,6,5,1,3,4,2]=>[1,3,4,2,5,6,7,8]=>[1,4,3,2,5,6,7,8]=>([(5,6),(5,7),(6,7)],8)
[8,7,6,5,1,4,3,2]=>[1,4,2,3,5,6,7,8]=>[1,4,2,3,5,6,7,8]=>([(5,7),(6,7)],8)
[8,7,6,5,4,1,3,2]=>[1,3,2,4,5,6,7,8]=>[1,3,2,4,5,6,7,8]=>([(6,7)],8)
[8,7,4,3,6,1,5,2]=>[1,5,2,3,6,4,7,8]=>[1,5,2,6,3,4,7,8]=>([(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[8,3,2,7,6,1,5,4]=>[1,5,2,7,3,4,6,8]=>[1,5,7,3,2,4,6,8]=>([(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[2,1,8,7,6,3,5,4]=>[1,8,2,3,5,4,6,7]=>[1,8,2,5,3,4,6,7]=>([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,3,2,7,6,1,4,5]=>[1,4,5,2,7,3,6,8]=>[1,5,7,4,2,3,6,8]=>([(2,7),(3,4),(3,5),(3,6),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,7,6,5,1,4,2,3]=>[1,4,2,3,5,6,7,8]=>[1,4,2,3,5,6,7,8]=>([(5,7),(6,7)],8)
[8,7,6,5,1,2,4,3]=>[1,2,4,3,5,6,7,8]=>[1,2,4,3,5,6,7,8]=>([(6,7)],8)
[7,3,5,1,8,4,6,2]=>[1,8,2,3,5,4,6,7]=>[1,8,2,5,3,4,6,7]=>([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,3,4,1,8,5,6,2]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>([(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[4,5,6,2,1,8,7,3]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>([(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[1,6,5,2,7,4,3,8]=>[1,6,2,7,3,8,4,5]=>[1,6,7,8,4,2,3,5]=>([(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,7),(5,7),(6,7)],8)
[7,4,3,1,8,6,5,2]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>([(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[7,6,5,1,8,4,3,2]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>([(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[7,6,4,1,8,5,3,2]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>([(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[6,4,2,1,8,7,5,3]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>([(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[1,6,4,2,7,5,3,8]=>[1,6,2,7,3,8,4,5]=>[1,6,7,8,4,2,3,5]=>([(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,7),(5,7),(6,7)],8)
[1,5,3,2,7,6,4,8]=>[1,5,2,7,3,4,8,6]=>[1,5,7,3,2,8,4,6]=>([(1,2),(1,6),(2,7),(3,4),(3,5),(3,6),(4,5),(4,7),(5,7),(6,7)],8)
[5,3,2,1,8,7,6,4]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>([(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[2,5,3,1,7,8,6,4]=>[1,7,8,2,5,3,4,6]=>[1,8,5,3,2,4,7,6]=>([(1,2),(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,5,7,1,6,8,2,3]=>[1,6,8,2,3,4,5,7]=>[1,8,2,3,4,6,5,7]=>([(1,7),(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[6,5,1,2,8,4,3,7]=>[1,2,8,3,7,4,5,6]=>[1,2,8,7,4,5,3,6]=>([(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,4,1,2,8,5,3,7]=>[1,2,8,3,7,4,5,6]=>[1,2,8,7,4,5,3,6]=>([(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,3,1,2,8,6,4,7]=>[1,2,8,3,4,7,5,6]=>[1,2,8,3,7,5,4,6]=>([(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,1,2,5,8,3,4,7]=>[1,2,5,8,3,4,7,6]=>[1,2,8,3,5,7,4,6]=>([(2,7),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[7,1,3,4,8,2,5,6]=>[1,3,4,8,2,5,6,7]=>[1,8,3,4,2,5,6,7]=>([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,1,5,6,8,2,3,4]=>[1,5,6,8,2,3,4,7]=>[1,8,2,3,5,6,4,7]=>([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,6,1,5,7,8,3,4]=>[1,5,7,8,2,6,3,4]=>[1,8,6,3,5,2,7,4]=>([(1,5),(1,7),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,4,1,6,8,5,2,3]=>[1,6,8,2,3,4,5,7]=>[1,8,2,3,4,6,5,7]=>([(1,7),(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[5,2,3,1,8,6,7,4]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>([(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[3,5,2,1,6,8,7,4]=>[1,6,8,2,3,5,4,7]=>[1,8,2,5,3,6,4,7]=>([(1,7),(2,7),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[1,6,2,5,7,3,4,8]=>[1,6,2,5,7,3,4,8]=>[1,6,7,3,2,5,4,8]=>([(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[6,2,1,5,8,7,3,4]=>[1,5,8,2,3,4,6,7]=>[1,8,2,3,5,4,6,7]=>([(1,7),(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[7,3,1,5,8,6,2,4]=>[1,5,8,2,4,3,6,7]=>[1,8,4,2,5,3,6,7]=>([(1,7),(2,7),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[6,2,4,1,8,5,7,3]=>[1,8,2,4,3,5,7,6]=>[1,8,4,2,3,7,5,6]=>([(1,6),(1,7),(2,6),(2,7),(3,5),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[6,2,5,1,8,4,7,3]=>[1,8,2,5,3,4,7,6]=>[1,8,5,3,2,7,4,6]=>([(1,5),(1,7),(2,3),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[7,3,1,4,8,6,2,5]=>[1,4,8,2,5,3,6,7]=>[1,8,5,4,2,3,6,7]=>([(1,7),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,2,1,4,8,7,3,5]=>[1,4,8,2,3,5,6,7]=>[1,8,2,4,3,5,6,7]=>([(1,7),(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[1,6,2,4,7,3,5,8]=>[1,6,2,4,7,3,5,8]=>[1,6,7,2,3,4,5,8]=>([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[5,2,1,3,8,7,4,6]=>[1,3,8,2,4,6,5,7]=>[1,8,3,2,6,4,5,7]=>([(1,7),(2,3),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,6,7,1,4,8,2,5]=>[1,4,8,2,5,3,6,7]=>[1,8,5,4,2,3,6,7]=>([(1,7),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,6,1,4,8,3,2,5]=>[1,4,8,2,5,3,6,7]=>[1,8,5,4,2,3,6,7]=>([(1,7),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,2,1,3,8,7,5,6]=>[1,3,8,2,4,5,6,7]=>[1,8,3,2,4,5,6,7]=>([(1,7),(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[2,6,1,4,7,8,3,5]=>[1,4,7,8,2,6,3,5]=>[1,8,6,4,3,2,7,5]=>([(1,2),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,1,4,6,8,2,3,5]=>[1,4,6,8,2,3,5,7]=>[1,8,2,4,3,6,5,7]=>([(1,7),(2,7),(3,6),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[7,1,3,5,8,2,4,6]=>[1,3,5,8,2,4,6,7]=>[1,8,3,2,5,4,6,7]=>([(1,7),(2,7),(3,6),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[6,1,2,4,8,3,5,7]=>[1,2,4,8,3,5,7,6]=>[1,2,8,4,3,7,5,6]=>([(2,3),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,2,3,1,6,4,8,7]=>[1,6,2,3,4,8,5,7]=>[1,6,2,3,8,4,5,7]=>([(1,7),(2,7),(3,6),(4,6),(4,7),(5,6),(5,7)],8)
[7,4,5,2,3,1,8,6]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>([(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[8,6,7,3,5,2,4,1]=>[1,2,4,3,5,6,7,8]=>[1,2,4,3,5,6,7,8]=>([(6,7)],8)
[7,3,5,2,4,1,8,6]=>[1,8,2,4,3,5,6,7]=>[1,8,4,2,3,5,6,7]=>([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,3,5,2,4,1,8,7]=>[1,8,2,4,3,5,6,7]=>[1,8,4,2,3,5,6,7]=>([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,2,4,1,6,3,8,7]=>[1,6,2,4,3,8,5,7]=>[1,6,4,2,8,3,5,7]=>([(1,6),(2,5),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7)],8)
[4,1,6,3,5,2,8,7]=>[1,6,2,8,3,5,4,7]=>[1,6,8,5,3,2,4,7]=>([(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[6,3,4,1,5,2,8,7]=>[1,5,2,8,3,4,6,7]=>[1,5,8,3,2,4,6,7]=>([(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[5,2,6,3,4,1,8,7]=>[1,8,2,6,3,4,5,7]=>[1,8,6,3,4,2,5,7]=>([(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,2,7,3,4,1,8,6]=>[1,8,2,7,3,4,5,6]=>[1,8,7,3,4,5,2,6]=>([(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,2,8,6,7,3,4,1]=>[1,2,8,3,4,5,6,7]=>[1,2,8,3,4,5,6,7]=>([(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[6,2,7,3,4,1,8,5]=>[1,8,2,7,3,4,5,6]=>[1,8,7,3,4,5,2,6]=>([(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,3,4,1,5,2,8,6]=>[1,5,2,8,3,4,6,7]=>[1,5,8,3,2,4,6,7]=>([(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[4,1,7,3,5,2,8,6]=>[1,7,2,8,3,5,4,6]=>[1,7,8,5,3,4,2,6]=>([(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[3,1,7,4,5,2,8,6]=>[1,7,2,8,3,4,5,6]=>[1,7,8,3,4,5,2,6]=>([(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[2,1,7,4,5,3,8,6]=>[1,7,2,3,8,4,5,6]=>[1,7,2,8,4,5,3,6]=>([(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[3,1,8,6,7,4,5,2]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>([(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[4,1,8,6,7,3,5,2]=>[1,8,2,3,5,4,6,7]=>[1,8,2,5,3,4,6,7]=>([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,6,7,3,4,1,5,2]=>[1,5,2,3,4,6,7,8]=>[1,5,2,3,4,6,7,8]=>([(4,7),(5,7),(6,7)],8)
[8,5,7,3,4,1,6,2]=>[1,6,2,3,4,5,7,8]=>[1,6,2,3,4,5,7,8]=>([(3,7),(4,7),(5,7),(6,7)],8)
[8,5,6,2,7,3,4,1]=>[1,2,7,3,4,5,6,8]=>[1,2,7,3,4,5,6,8]=>([(3,7),(4,7),(5,7),(6,7)],8)
[8,4,7,3,5,1,6,2]=>[1,6,2,3,5,4,7,8]=>[1,6,2,5,3,4,7,8]=>([(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,1,8,4,7,3,6,2]=>[1,8,2,3,6,4,7,5]=>[1,8,2,6,7,3,4,5]=>([(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[4,1,8,5,7,3,6,2]=>[1,8,2,3,6,4,5,7]=>[1,8,2,6,4,3,5,7]=>([(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,1,8,5,7,4,6,2]=>[1,8,2,3,4,6,5,7]=>[1,8,2,3,6,4,5,7]=>([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,1,8,5,7,4,6,3]=>[1,8,2,3,4,6,5,7]=>[1,8,2,3,6,4,5,7]=>([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,1,7,3,6,2,8,5]=>[1,7,2,8,3,6,4,5]=>[1,7,8,6,4,3,2,5]=>([(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[5,1,7,3,6,2,8,4]=>[1,7,2,8,3,6,4,5]=>[1,7,8,6,4,3,2,5]=>([(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[6,2,7,3,5,1,8,4]=>[1,8,2,7,3,5,4,6]=>[1,8,7,5,3,4,2,6]=>([(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,2,8,4,7,3,5,1]=>[1,2,8,3,5,4,7,6]=>[1,2,8,5,3,7,4,6]=>([(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[8,4,7,3,6,2,5,1]=>[1,2,5,3,6,4,7,8]=>[1,2,5,6,3,4,7,8]=>([(4,6),(4,7),(5,6),(5,7)],8)
[7,3,6,2,5,1,8,4]=>[1,8,2,5,3,6,4,7]=>[1,8,5,6,2,3,4,7]=>([(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[6,2,5,1,7,3,8,4]=>[1,7,2,5,3,8,4,6]=>[1,7,5,8,2,4,3,6]=>([(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7)],8)
[5,2,4,1,7,3,8,6]=>[1,7,2,4,3,8,5,6]=>[1,7,4,2,8,5,3,6]=>([(1,4),(1,7),(2,5),(2,7),(3,4),(3,6),(3,7),(4,6),(5,6),(5,7),(6,7)],8)
[6,2,4,1,7,3,8,5]=>[1,7,2,4,3,8,5,6]=>[1,7,4,2,8,5,3,6]=>([(1,4),(1,7),(2,5),(2,7),(3,4),(3,6),(3,7),(4,6),(5,6),(5,7),(6,7)],8)
[8,5,7,3,6,2,4,1]=>[1,2,4,3,6,5,7,8]=>[1,2,4,3,6,5,7,8]=>([(4,7),(5,6)],8)
[8,5,7,4,6,2,3,1]=>[1,2,3,4,6,5,7,8]=>[1,2,3,4,6,5,7,8]=>([(6,7)],8)
[7,4,6,2,3,1,8,5]=>[1,8,2,3,4,6,5,7]=>[1,8,2,3,6,4,5,7]=>([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,2,3,1,7,4,8,5]=>[1,7,2,3,4,8,5,6]=>[1,7,2,3,8,5,4,6]=>([(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[5,2,3,1,7,4,8,6]=>[1,7,2,3,4,8,5,6]=>[1,7,2,3,8,5,4,6]=>([(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[4,2,3,1,7,5,8,6]=>[1,7,2,3,4,5,8,6]=>[1,7,2,3,4,8,5,6]=>([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[3,1,4,2,8,6,7,5]=>[1,4,2,8,3,5,6,7]=>[1,4,8,2,3,5,6,7]=>([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[6,2,3,1,8,5,7,4]=>[1,8,2,3,4,5,7,6]=>[1,8,2,3,4,7,5,6]=>([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,5,6,2,3,1,7,4]=>[1,7,2,3,4,5,6,8]=>[1,7,2,3,4,5,6,8]=>([(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[7,4,8,5,6,2,3,1]=>[1,2,3,4,8,5,6,7]=>[1,2,3,4,8,5,6,7]=>([(4,7),(5,7),(6,7)],8)
[7,3,8,5,6,2,4,1]=>[1,2,4,3,8,5,6,7]=>[1,2,4,3,8,5,6,7]=>([(2,3),(4,7),(5,7),(6,7)],8)
[8,5,6,2,4,1,7,3]=>[1,7,2,4,3,5,6,8]=>[1,7,4,2,3,5,6,8]=>([(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,2,4,1,8,6,7,3]=>[1,8,2,4,3,5,6,7]=>[1,8,4,2,3,5,6,7]=>([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,1,5,2,8,6,7,3]=>[1,5,2,8,3,4,6,7]=>[1,5,8,3,2,4,6,7]=>([(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[3,1,5,2,8,6,7,4]=>[1,5,2,8,3,4,6,7]=>[1,5,8,3,2,4,6,7]=>([(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[2,1,6,3,8,5,7,4]=>[1,6,2,3,8,4,5,7]=>[1,6,2,8,4,3,5,7]=>([(1,7),(2,6),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[3,1,6,2,8,5,7,4]=>[1,6,2,8,3,4,5,7]=>[1,6,8,3,4,2,5,7]=>([(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[4,1,6,2,8,5,7,3]=>[1,6,2,8,3,4,5,7]=>[1,6,8,3,4,2,5,7]=>([(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[5,1,6,2,8,4,7,3]=>[1,6,2,8,3,4,7,5]=>[1,6,8,3,7,2,4,5]=>([(1,4),(1,5),(1,7),(2,4),(2,5),(2,7),(3,4),(3,6),(3,7),(4,6),(5,6),(5,7),(6,7)],8)
[8,4,6,2,5,1,7,3]=>[1,7,2,5,3,4,6,8]=>[1,7,5,3,2,4,6,8]=>([(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,3,8,4,6,2,5,1]=>[1,2,5,3,8,4,6,7]=>[1,2,5,8,3,4,6,7]=>([(2,7),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[6,2,7,3,8,4,5,1]=>[1,2,7,3,8,4,5,6]=>[1,2,7,8,4,5,3,6]=>([(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[8,4,5,1,6,2,7,3]=>[1,6,2,7,3,4,5,8]=>[1,6,7,3,4,2,5,8]=>([(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[5,1,8,4,6,2,7,3]=>[1,8,2,7,3,4,6,5]=>[1,8,7,3,6,4,2,5]=>([(1,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,1,8,5,6,2,7,3]=>[1,8,2,7,3,4,5,6]=>[1,8,7,3,4,5,2,6]=>([(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,1,8,5,6,2,7,4]=>[1,8,2,7,3,4,5,6]=>[1,8,7,3,4,5,2,6]=>([(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,1,8,5,6,3,7,4]=>[1,8,2,3,7,4,5,6]=>[1,8,2,7,4,5,3,6]=>([(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,1,7,4,8,5,6,3]=>[1,7,2,3,4,8,5,6]=>[1,7,2,3,8,5,4,6]=>([(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[3,1,7,4,8,5,6,2]=>[1,7,2,3,4,8,5,6]=>[1,7,2,3,8,5,4,6]=>([(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[4,1,7,3,8,5,6,2]=>[1,7,2,3,8,4,5,6]=>[1,7,2,8,4,5,3,6]=>([(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[7,3,8,4,5,1,6,2]=>[1,6,2,3,8,4,5,7]=>[1,6,2,8,4,3,5,7]=>([(1,7),(2,6),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[8,4,5,1,7,3,6,2]=>[1,7,2,3,6,4,5,8]=>[1,7,2,6,4,3,5,8]=>([(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,3,6,2,8,4,5,1]=>[1,2,8,3,6,4,5,7]=>[1,2,8,6,4,3,5,7]=>([(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,8,5,6,1,3,4,2]=>[1,3,4,2,5,6,7,8]=>[1,4,3,2,5,6,7,8]=>([(5,6),(5,7),(6,7)],8)
[7,8,1,3,6,2,5,4]=>[1,3,6,2,5,4,7,8]=>[1,6,3,5,2,4,7,8]=>([(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[3,6,1,4,7,2,5,8]=>[1,4,7,2,5,8,3,6]=>[1,7,8,4,2,3,5,6]=>([(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[4,6,1,2,5,7,3,8]=>[1,2,5,7,3,8,4,6]=>[1,2,7,8,5,4,3,6]=>([(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[1,4,8,2,5,7,3,6]=>[1,4,8,2,5,7,3,6]=>[1,8,7,4,2,3,5,6]=>([(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,8,2,4,5,6,1,3]=>[1,3,2,4,5,6,7,8]=>[1,3,2,4,5,6,7,8]=>([(6,7)],8)
[7,8,1,5,4,6,3,2]=>[1,5,2,3,4,6,7,8]=>[1,5,2,3,4,6,7,8]=>([(4,7),(5,7),(6,7)],8)
[7,8,2,1,6,3,4,5]=>[1,6,2,3,4,5,7,8]=>[1,6,2,3,4,5,7,8]=>([(3,7),(4,7),(5,7),(6,7)],8)
[7,8,3,5,6,4,1,2]=>[1,2,3,5,6,4,7,8]=>[1,2,3,6,5,4,7,8]=>([(5,6),(5,7),(6,7)],8)
[7,8,1,4,2,3,6,5]=>[1,4,2,3,6,5,7,8]=>[1,4,2,3,6,5,7,8]=>([(3,4),(5,7),(6,7)],8)
[7,8,5,1,4,2,6,3]=>[1,4,2,6,3,5,7,8]=>[1,4,6,2,3,5,7,8]=>([(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[7,8,4,5,3,1,6,2]=>[1,6,2,3,4,5,7,8]=>[1,6,2,3,4,5,7,8]=>([(3,7),(4,7),(5,7),(6,7)],8)
[1,5,8,4,3,2,7,6]=>[1,5,8,2,7,3,4,6]=>[1,8,7,3,5,4,2,6]=>([(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,6,1,4,3,2,7,8]=>[1,4,2,7,8,3,5,6]=>[1,4,8,2,3,5,7,6]=>([(1,7),(2,5),(2,6),(3,4),(3,7),(4,7),(5,7),(6,7)],8)
[2,6,4,8,3,7,1,5]=>[1,5,2,6,3,7,4,8]=>[1,5,6,7,2,3,4,8]=>([(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[1,4,6,8,3,7,5,2]=>[1,4,6,8,2,3,7,5]=>[1,8,2,4,7,6,3,5]=>([(1,7),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,4,8,5,3,1,6,7]=>[1,6,7,2,4,8,3,5]=>[1,7,8,2,3,6,4,5]=>([(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[2,5,8,1,4,7,6,3]=>[1,4,7,2,5,8,3,6]=>[1,7,8,4,2,3,5,6]=>([(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[3,5,8,4,7,6,1,2]=>[1,2,3,5,8,4,7,6]=>[1,2,3,8,5,7,4,6]=>([(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[1,6,2,4,7,3,8,5]=>[1,6,2,4,7,3,8,5]=>[1,6,7,2,8,4,3,5]=>([(1,6),(1,7),(2,3),(2,4),(2,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[4,6,2,5,3,1,8,7]=>[1,8,2,5,3,4,6,7]=>[1,8,5,3,2,4,6,7]=>([(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,5,3,6,2,4,1,8]=>[1,8,2,4,3,6,5,7]=>[1,8,4,2,6,3,5,7]=>([(1,7),(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[5,7,3,6,1,4,8,2]=>[1,4,8,2,3,6,5,7]=>[1,8,2,4,6,3,5,7]=>([(1,7),(2,7),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[5,3,6,7,2,1,8,4]=>[1,8,2,3,6,7,4,5]=>[1,8,2,7,4,3,6,5]=>([(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,4,7,2,5,3,8,6]=>[1,4,7,2,5,3,8,6]=>[1,7,5,4,2,8,3,6]=>([(1,2),(1,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,6,7,8,3,5,1,2]=>[1,2,3,5,4,6,7,8]=>[1,2,3,5,4,6,7,8]=>([(6,7)],8)
[3,5,6,7,8,1,4,2]=>[1,4,2,3,5,6,7,8]=>[1,4,2,3,5,6,7,8]=>([(5,7),(6,7)],8)
[3,6,5,7,8,2,1,4]=>[1,4,2,3,6,5,7,8]=>[1,4,2,3,6,5,7,8]=>([(3,4),(5,7),(6,7)],8)
[5,2,7,6,1,4,3,8]=>[1,4,2,7,3,8,5,6]=>[1,4,7,2,8,5,3,6]=>([(1,2),(1,7),(2,6),(3,4),(3,6),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[2,5,7,6,8,1,3,4]=>[1,3,4,2,5,7,6,8]=>[1,4,3,2,5,7,6,8]=>([(3,4),(5,6),(5,7),(6,7)],8)
[2,7,5,6,8,4,1,3]=>[1,3,2,7,4,5,6,8]=>[1,3,2,7,4,5,6,8]=>([(2,3),(4,7),(5,7),(6,7)],8)
[2,1,6,8,4,5,3,7]=>[1,6,8,2,3,7,4,5]=>[1,8,2,7,4,6,3,5]=>([(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,7,1,8,5,3,4,6]=>[1,8,2,7,3,4,6,5]=>[1,8,7,3,6,4,2,5]=>([(1,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,7,6,8,5,4,1,2]=>[1,2,3,7,4,5,6,8]=>[1,2,3,7,4,5,6,8]=>([(4,7),(5,7),(6,7)],8)
[4,3,8,5,6,7,1,2]=>[1,2,3,8,4,5,6,7]=>[1,2,3,8,4,5,6,7]=>([(3,7),(4,7),(5,7),(6,7)],8)
[4,2,8,1,6,3,7,5]=>[1,6,2,8,3,7,4,5]=>[1,6,8,7,4,2,3,5]=>([(1,4),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(5,6),(5,7),(6,7)],8)
[3,2,8,4,5,6,1,7]=>[1,7,2,8,3,4,5,6]=>[1,7,8,3,4,5,2,6]=>([(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[3,4,2,8,6,1,7,5]=>[1,7,2,8,3,4,5,6]=>[1,7,8,3,4,5,2,6]=>([(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[4,3,7,8,1,2,6,5]=>[1,2,6,3,7,8,4,5]=>[1,2,6,8,4,3,7,5]=>([(2,6),(2,7),(3,4),(3,5),(3,6),(4,5),(4,7),(5,7),(6,7)],8)
[1,7,3,8,5,2,6,4]=>[1,7,2,6,3,8,4,5]=>[1,7,6,8,4,2,3,5]=>([(1,4),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(5,6),(5,7),(6,7)],8)
[5,7,8,6,3,2,1,4]=>[1,4,2,3,5,7,8,6]=>[1,4,2,3,5,8,7,6]=>([(2,7),(3,7),(4,5),(4,6),(5,6)],8)
[5,7,8,6,1,3,4,2]=>[1,3,4,2,5,7,8,6]=>[1,4,3,2,5,8,7,6]=>([(2,6),(2,7),(3,4),(3,5),(4,5),(6,7)],8)
[7,6,5,8,1,3,4,2]=>[1,3,4,2,5,8,6,7]=>[1,4,3,2,5,8,6,7]=>([(2,7),(3,7),(4,5),(4,6),(5,6)],8)
[1,6,4,3,8,2,5,7]=>[1,6,2,5,7,3,8,4]=>[1,6,7,8,2,5,3,4]=>([(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,7),(5,7),(6,7)],8)
[3,6,5,4,1,2,7,8]=>[1,2,7,8,3,6,4,5]=>[1,2,8,6,4,3,7,5]=>([(2,5),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,6,3,4,5,8,1,7]=>[1,7,2,6,3,4,5,8]=>[1,7,6,3,4,2,5,8]=>([(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,6,4,1,8,3,7,5]=>[1,8,2,6,3,7,4,5]=>[1,8,6,7,4,2,3,5]=>([(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[7,3,6,4,8,5,1,2]=>[1,2,3,6,4,8,5,7]=>[1,2,3,6,8,4,5,7]=>([(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[7,2,1,4,8,3,5,6]=>[1,4,8,2,3,5,6,7]=>[1,8,2,4,3,5,6,7]=>([(1,7),(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[7,1,6,5,3,8,4,2]=>[1,6,2,3,8,4,5,7]=>[1,6,2,8,4,3,5,7]=>([(1,7),(2,6),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[6,5,2,7,1,8,4,3]=>[1,8,2,7,3,4,5,6]=>[1,8,7,3,4,5,2,6]=>([(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,6,2,7,3,1,4,8]=>[1,4,8,2,7,3,5,6]=>[1,8,7,4,3,5,2,6]=>([(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,6,7,4,2,8,1,3]=>[1,3,2,8,4,5,6,7]=>[1,3,2,8,4,5,6,7]=>([(1,2),(3,7),(4,7),(5,7),(6,7)],8)
[5,7,6,4,1,8,3,2]=>[1,8,2,3,4,5,7,6]=>[1,8,2,3,4,7,5,6]=>([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,7,1,5,2,8,3,4]=>[1,5,2,8,3,4,6,7]=>[1,5,8,3,2,4,6,7]=>([(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[6,1,5,2,8,3,4,7]=>[1,5,2,8,3,4,7,6]=>[1,5,8,3,2,7,4,6]=>([(1,6),(1,7),(2,3),(2,4),(2,5),(3,4),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[6,7,5,3,8,4,1,2]=>[1,2,3,8,4,5,6,7]=>[1,2,3,8,4,5,6,7]=>([(3,7),(4,7),(5,7),(6,7)],8)
[1,6,5,4,2,3,8,7]=>[1,6,2,3,8,4,5,7]=>[1,6,2,8,4,3,5,7]=>([(1,7),(2,6),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[7,1,5,3,4,2,8,6]=>[1,5,2,8,3,4,6,7]=>[1,5,8,3,2,4,6,7]=>([(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[7,6,1,5,3,2,8,4]=>[1,5,2,8,3,4,6,7]=>[1,5,8,3,2,4,6,7]=>([(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[7,5,6,4,1,2,8,3]=>[1,2,8,3,4,5,6,7]=>[1,2,8,3,4,5,6,7]=>([(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[6,7,5,4,3,1,8,2]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>([(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[7,5,2,4,3,1,6,8]=>[1,6,8,2,4,3,5,7]=>[1,8,4,2,3,6,5,7]=>([(1,7),(2,3),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,4,6,1,2,5,3,8]=>[1,2,5,3,8,4,6,7]=>[1,2,5,8,3,4,6,7]=>([(2,7),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[6,8,1,4,2,5,7,3]=>[1,4,2,5,7,3,6,8]=>[1,4,7,2,5,3,6,8]=>([(2,7),(3,4),(3,7),(4,6),(5,6),(5,7),(6,7)],8)
[1,6,4,2,5,7,3,8]=>[1,6,2,5,7,3,8,4]=>[1,6,7,8,2,5,3,4]=>([(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,7),(5,7),(6,7)],8)
[1,6,3,7,5,4,2,8]=>[1,6,2,8,3,7,4,5]=>[1,6,8,7,4,2,3,5]=>([(1,4),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(5,6),(5,7),(6,7)],8)
[6,8,1,3,7,5,4,2]=>[1,3,7,2,4,5,6,8]=>[1,7,3,2,4,5,6,8]=>([(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[7,1,3,5,6,4,2,8]=>[1,3,5,6,2,8,4,7]=>[1,6,3,8,5,2,4,7]=>([(1,7),(2,5),(2,6),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[7,3,1,6,4,5,2,8]=>[1,6,2,8,3,4,5,7]=>[1,6,8,3,4,2,5,7]=>([(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[7,4,6,3,1,5,2,8]=>[1,5,2,8,3,4,6,7]=>[1,5,8,3,2,4,6,7]=>([(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[7,2,4,1,5,3,6,8]=>[1,5,2,4,3,6,8,7]=>[1,5,4,2,3,6,8,7]=>([(2,3),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,2,3,5,4,1,6,8]=>[1,6,8,2,3,5,4,7]=>[1,8,2,5,3,6,4,7]=>([(1,7),(2,7),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[6,8,1,2,3,4,7,5]=>[1,2,3,4,7,5,6,8]=>[1,2,3,4,7,5,6,8]=>([(5,7),(6,7)],8)
[1,5,7,2,3,8,6,4]=>[1,5,7,2,3,8,4,6]=>[1,7,2,8,5,4,3,6]=>([(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[5,1,8,2,3,6,7,4]=>[1,8,2,3,6,7,4,5]=>[1,8,2,7,4,3,6,5]=>([(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,8,2,3,7,6,4,1]=>[1,2,3,7,4,5,8,6]=>[1,2,3,7,4,8,5,6]=>([(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[6,2,8,1,3,7,4,5]=>[1,3,7,2,8,4,5,6]=>[1,7,3,8,4,5,2,6]=>([(1,6),(1,7),(2,5),(2,6),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[6,8,2,3,5,4,7,1]=>[1,2,3,5,4,7,6,8]=>[1,2,3,5,4,7,6,8]=>([(4,7),(5,6)],8)
[6,8,2,4,1,5,7,3]=>[1,5,7,2,4,3,6,8]=>[1,7,4,2,5,3,6,8]=>([(2,7),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[6,8,3,1,2,4,7,5]=>[1,2,4,7,3,5,6,8]=>[1,2,7,4,3,5,6,8]=>([(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[2,5,1,7,8,3,6,4]=>[1,7,8,2,5,3,6,4]=>[1,8,5,6,2,3,7,4]=>([(1,6),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,5,3,6,8,4,7,1]=>[1,2,5,3,6,8,4,7]=>[1,2,5,8,3,6,4,7]=>([(2,7),(3,4),(3,7),(4,6),(5,6),(5,7),(6,7)],8)
[2,5,3,7,6,1,8,4]=>[1,8,2,5,3,7,4,6]=>[1,8,5,7,2,4,3,6]=>([(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[2,5,7,8,1,4,6,3]=>[1,4,6,2,5,7,8,3]=>[1,6,8,4,2,5,7,3]=>([(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[5,3,4,1,8,6,7,2]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>([(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[5,2,1,8,6,3,7,4]=>[1,8,2,3,7,4,5,6]=>[1,8,2,7,4,5,3,6]=>([(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,2,8,6,5,3,7,1]=>[1,2,8,3,7,4,5,6]=>[1,2,8,7,4,5,3,6]=>([(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,4,2,7,5,8,6,3]=>[1,4,2,7,3,5,8,6]=>[1,4,7,2,3,8,5,6]=>([(1,5),(1,6),(2,3),(2,4),(3,7),(4,7),(5,7),(6,7)],8)
[4,1,8,6,7,5,3,2]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>([(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[5,3,8,7,6,2,4,1]=>[1,2,4,3,8,5,6,7]=>[1,2,4,3,8,5,6,7]=>([(2,3),(4,7),(5,7),(6,7)],8)
[5,8,4,7,6,2,1,3]=>[1,3,2,4,7,5,8,6]=>[1,3,2,4,7,8,5,6]=>([(2,3),(4,6),(4,7),(5,6),(5,7)],8)
[5,8,7,4,3,6,1,2]=>[1,2,3,6,4,5,8,7]=>[1,2,3,6,4,5,8,7]=>([(3,4),(5,7),(6,7)],8)
[6,4,8,3,1,7,2,5]=>[1,7,2,5,3,4,8,6]=>[1,7,5,3,2,8,4,6]=>([(1,2),(1,5),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,4,2,8,7,1,3,5]=>[1,3,5,2,8,4,6,7]=>[1,5,3,8,2,4,6,7]=>([(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7)],8)
[6,3,8,7,2,5,1,4]=>[1,4,2,5,3,8,6,7]=>[1,4,5,2,3,8,6,7]=>([(1,7),(2,7),(3,5),(3,6),(4,5),(4,6)],8)
[5,1,3,8,6,7,2,4]=>[1,3,8,2,4,5,6,7]=>[1,8,3,2,4,5,6,7]=>([(1,7),(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[1,5,7,6,4,2,8,3]=>[1,5,7,2,8,3,4,6]=>[1,7,8,3,5,4,2,6]=>([(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[5,8,7,4,1,6,2,3]=>[1,6,2,3,4,5,8,7]=>[1,6,2,3,4,5,8,7]=>([(1,2),(3,7),(4,7),(5,7),(6,7)],8)
[6,4,8,1,2,7,3,5]=>[1,2,7,3,5,4,8,6]=>[1,2,7,5,3,8,4,6]=>([(2,3),(2,7),(3,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,8,5,1,2,3,7,4]=>[1,2,3,7,4,5,6,8]=>[1,2,3,7,4,5,6,8]=>([(4,7),(5,7),(6,7)],8)
[6,8,5,2,4,3,7,1]=>[1,2,4,3,7,5,6,8]=>[1,2,4,3,7,5,6,8]=>([(3,4),(5,7),(6,7)],8)
[6,8,5,3,1,2,7,4]=>[1,2,7,3,4,5,6,8]=>[1,2,7,3,4,5,6,8]=>([(3,7),(4,7),(5,7),(6,7)],8)
[4,5,1,2,7,6,3,8]=>[1,2,7,3,8,4,5,6]=>[1,2,7,8,4,5,3,6]=>([(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[4,5,1,2,6,8,7,3]=>[1,2,6,8,3,4,5,7]=>[1,2,8,3,4,6,5,7]=>([(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[3,5,6,1,8,4,7,2]=>[1,8,2,3,5,6,4,7]=>[1,8,2,6,3,5,4,7]=>([(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,5,7,1,2,8,6,4]=>[1,2,8,3,5,7,4,6]=>[1,2,8,7,3,4,5,6]=>([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,6,2,7,5,1,4,8]=>[1,4,8,2,7,3,6,5]=>[1,8,7,4,6,3,2,5]=>([(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,2,6,1,7,3,5,8]=>[1,7,2,6,3,5,8,4]=>[1,7,6,8,3,2,5,4]=>([(1,2),(1,3),(1,4),(1,5),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,6,3,1,2,7,5,8]=>[1,2,7,3,4,6,5,8]=>[1,2,7,3,6,4,5,8]=>([(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,5,3,1,7,6,2,8]=>[1,7,2,8,3,4,5,6]=>[1,7,8,3,4,5,2,6]=>([(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[4,2,5,7,1,6,3,8]=>[1,6,2,5,7,3,8,4]=>[1,6,7,8,2,5,3,4]=>([(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,7),(5,7),(6,7)],8)
[3,5,2,7,8,1,6,4]=>[1,6,2,7,8,3,5,4]=>[1,6,8,5,3,2,7,4]=>([(1,5),(1,7),(2,3),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[3,1,4,7,5,6,2,8]=>[1,4,7,2,8,3,5,6]=>[1,7,8,4,3,5,2,6]=>([(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[3,4,6,5,8,7,1,2]=>[1,2,3,4,6,5,8,7]=>[1,2,3,4,6,5,8,7]=>([(4,7),(5,6)],8)
[4,5,3,1,6,8,7,2]=>[1,6,8,2,3,4,5,7]=>[1,8,2,3,4,6,5,7]=>([(1,7),(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[2,1,7,5,8,6,4,3]=>[1,7,2,3,4,5,8,6]=>[1,7,2,3,4,8,5,6]=>([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[1,2,7,5,3,8,6,4]=>[1,2,7,3,8,4,5,6]=>[1,2,7,8,4,5,3,6]=>([(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[4,1,2,7,3,8,6,5]=>[1,2,7,3,8,4,5,6]=>[1,2,7,8,4,5,3,6]=>([(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[6,4,1,7,5,2,3,8]=>[1,7,2,3,8,4,5,6]=>[1,7,2,8,4,5,3,6]=>([(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[6,1,3,7,5,2,4,8]=>[1,3,7,2,4,8,5,6]=>[1,7,3,2,8,5,4,6]=>([(1,2),(1,7),(2,7),(3,4),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[3,1,2,6,8,5,4,7]=>[1,2,6,8,3,4,7,5]=>[1,2,8,3,7,6,4,5]=>([(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,7,1,2,5,4,8,6]=>[1,2,5,3,7,4,8,6]=>[1,2,5,7,3,8,4,6]=>([(2,5),(2,7),(3,4),(3,7),(4,6),(5,6),(6,7)],8)
[1,3,7,2,4,8,6,5]=>[1,3,7,2,4,8,5,6]=>[1,7,3,2,8,5,4,6]=>([(1,2),(1,7),(2,7),(3,4),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[2,4,1,7,8,6,5,3]=>[1,7,8,2,4,3,5,6]=>[1,8,4,2,3,5,7,6]=>([(1,7),(2,3),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,4,7,5,1,8,6,2]=>[1,8,2,3,4,7,5,6]=>[1,8,2,3,7,5,4,6]=>([(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,7,4,1,5,8,6,3]=>[1,5,8,2,7,3,4,6]=>[1,8,7,3,5,4,2,6]=>([(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,2,8,1,3,7,4,6]=>[1,3,7,2,8,4,6,5]=>[1,7,3,8,6,4,2,5]=>([(1,6),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[2,1,6,8,3,4,7,5]=>[1,6,8,2,3,4,7,5]=>[1,8,2,3,7,6,4,5]=>([(1,7),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,8,6,4,1,5,7,3]=>[1,5,7,2,8,3,4,6]=>[1,7,8,3,5,4,2,6]=>([(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[6,3,7,4,5,1,8,2]=>[1,8,2,3,7,4,5,6]=>[1,8,2,7,4,5,3,6]=>([(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,6,3,7,5,8,1,4]=>[1,4,2,6,3,7,5,8]=>[1,4,6,2,7,3,5,8]=>([(2,5),(2,7),(3,4),(3,7),(4,6),(5,6),(6,7)],8)
[5,2,1,7,8,3,4,6]=>[1,7,8,2,3,4,6,5]=>[1,8,2,3,6,4,7,5]=>([(1,7),(2,7),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[4,7,2,3,6,8,1,5]=>[1,5,2,3,6,8,4,7]=>[1,5,2,8,3,6,4,7]=>([(1,7),(2,5),(3,5),(3,7),(4,6),(4,7),(5,6),(6,7)],8)
[5,7,4,6,2,8,1,3]=>[1,3,2,8,4,6,5,7]=>[1,3,2,8,6,4,5,7]=>([(1,2),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,7,3,4,6,1,8,2]=>[1,8,2,3,4,6,5,7]=>[1,8,2,3,6,4,5,7]=>([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,2,3,5,1,6,7,4]=>[1,6,7,2,3,5,4,8]=>[1,7,2,5,3,6,4,8]=>([(2,7),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[4,2,8,3,6,7,1,5]=>[1,5,2,8,3,6,7,4]=>[1,5,8,7,2,3,6,4]=>([(1,3),(1,6),(1,7),(2,3),(2,6),(2,7),(3,5),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,4,1,3,6,2,5,7]=>[1,3,6,2,5,7,4,8]=>[1,6,3,7,2,5,4,8]=>([(2,6),(2,7),(3,4),(3,5),(3,6),(4,5),(4,7),(5,7),(6,7)],8)
[4,8,3,1,7,2,5,6]=>[1,7,2,5,6,3,4,8]=>[1,7,6,3,2,5,4,8]=>([(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,2,8,4,7,1,6,3]=>[1,6,2,8,3,4,7,5]=>[1,6,8,3,7,2,4,5]=>([(1,4),(1,5),(1,7),(2,4),(2,5),(2,7),(3,4),(3,6),(3,7),(4,6),(5,6),(5,7),(6,7)],8)
[5,8,4,7,3,1,6,2]=>[1,6,2,3,4,7,5,8]=>[1,6,2,3,7,4,5,8]=>([(2,7),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[6,3,8,2,7,1,5,4]=>[1,5,2,7,3,8,4,6]=>[1,5,7,8,2,4,3,6]=>([(1,6),(1,7),(2,3),(2,4),(2,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[6,3,1,8,2,4,7,5]=>[1,8,2,4,7,3,5,6]=>[1,8,7,2,3,5,4,6]=>([(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,3,8,1,2,6,4,7]=>[1,2,6,3,8,4,7,5]=>[1,2,6,8,7,3,4,5]=>([(2,3),(2,4),(2,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,7,4,1,6,2,3,8]=>[1,6,2,3,8,4,5,7]=>[1,6,2,8,4,3,5,7]=>([(1,7),(2,6),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[8,5,4,1,2,6,3,7]=>[1,2,6,3,7,4,5,8]=>[1,2,6,7,4,3,5,8]=>([(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[5,1,8,4,2,7,3,6]=>[1,8,2,7,3,6,4,5]=>[1,8,7,6,4,3,2,5]=>([(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,6,2,8,5,3,7,4]=>[1,6,2,8,3,7,4,5]=>[1,6,8,7,4,2,3,5]=>([(1,4),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(5,6),(5,7),(6,7)],8)
[6,8,5,3,1,7,4,2]=>[1,7,2,3,4,5,6,8]=>[1,7,2,3,4,5,6,8]=>([(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[8,4,5,1,2,6,3,7]=>[1,2,6,3,7,4,5,8]=>[1,2,6,7,4,3,5,8]=>([(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[5,6,3,7,1,2,4,8]=>[1,2,4,8,3,7,5,6]=>[1,2,8,4,7,5,3,6]=>([(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,6,3,7,2,8,4,5]=>[1,6,2,8,3,7,4,5]=>[1,6,8,7,4,2,3,5]=>([(1,4),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(5,6),(5,7),(6,7)],8)
[6,3,2,7,8,5,1,4]=>[1,4,2,7,8,3,5,6]=>[1,4,8,2,3,5,7,6]=>([(1,7),(2,5),(2,6),(3,4),(3,7),(4,7),(5,7),(6,7)],8)
[4,5,7,8,3,1,6,2]=>[1,6,2,3,4,5,7,8]=>[1,6,2,3,4,5,7,8]=>([(3,7),(4,7),(5,7),(6,7)],8)
[4,7,2,5,8,1,6,3]=>[1,6,2,5,8,3,4,7]=>[1,6,8,3,2,5,4,7]=>([(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[8,1,3,4,6,2,5,7]=>[1,3,4,6,2,5,7,8]=>[1,6,3,4,2,5,7,8]=>([(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,5,6,8,2,7,1,4]=>[1,4,2,7,3,5,6,8]=>[1,4,7,2,3,5,6,8]=>([(2,7),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[2,4,5,6,8,1,7,3]=>[1,7,2,4,5,6,8,3]=>[1,7,8,2,4,5,6,3]=>([(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[4,8,3,5,6,1,7,2]=>[1,7,2,3,5,6,4,8]=>[1,7,2,6,3,5,4,8]=>([(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,6,2,3,7,8,1,4]=>[1,4,2,3,7,8,5,6]=>[1,4,2,3,8,5,7,6]=>([(1,7),(2,4),(3,4),(5,6),(5,7),(6,7)],8)
[5,8,7,3,4,1,2,6]=>[1,2,6,3,4,5,8,7]=>[1,2,6,3,4,5,8,7]=>([(2,3),(4,7),(5,7),(6,7)],8)
[6,8,7,3,4,1,2,5]=>[1,2,5,3,4,6,8,7]=>[1,2,5,3,4,6,8,7]=>([(3,4),(5,7),(6,7)],8)
[6,8,4,7,1,5,3,2]=>[1,5,2,3,4,7,6,8]=>[1,5,2,3,4,7,6,8]=>([(2,3),(4,7),(5,7),(6,7)],8)
[6,8,4,7,2,5,3,1]=>[1,2,5,3,4,7,6,8]=>[1,2,5,3,4,7,6,8]=>([(3,4),(5,7),(6,7)],8)
[5,4,8,7,2,6,3,1]=>[1,2,6,3,4,8,5,7]=>[1,2,6,3,8,4,5,7]=>([(2,7),(3,6),(4,6),(4,7),(5,6),(5,7)],8)
[5,4,8,7,1,6,3,2]=>[1,6,2,3,4,8,5,7]=>[1,6,2,3,8,4,5,7]=>([(1,7),(2,7),(3,6),(4,6),(4,7),(5,6),(5,7)],8)
[5,3,8,7,6,1,2,4]=>[1,2,4,3,8,5,6,7]=>[1,2,4,3,8,5,6,7]=>([(2,3),(4,7),(5,7),(6,7)],8)
[4,3,8,7,6,1,2,5]=>[1,2,5,3,8,4,6,7]=>[1,2,5,8,3,4,6,7]=>([(2,7),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[4,8,3,7,5,1,2,6]=>[1,2,6,3,7,4,8,5]=>[1,2,6,7,8,3,4,5]=>([(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[8,3,4,6,5,1,2,7]=>[1,2,7,3,4,6,5,8]=>[1,2,7,3,6,4,5,8]=>([(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,8,4,7,5,1,2,6]=>[1,2,6,3,8,4,7,5]=>[1,2,6,8,7,3,4,5]=>([(2,3),(2,4),(2,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,4,8,7,6,1,2,5]=>[1,2,5,3,4,8,6,7]=>[1,2,5,3,4,8,6,7]=>([(2,7),(3,7),(4,6),(5,6)],8)
[3,5,8,7,6,1,2,4]=>[1,2,4,3,5,8,6,7]=>[1,2,4,3,5,8,6,7]=>([(3,4),(5,7),(6,7)],8)
[4,5,8,7,6,1,2,3]=>[1,2,3,4,5,8,6,7]=>[1,2,3,4,5,8,6,7]=>([(5,7),(6,7)],8)
[4,5,8,7,1,6,3,2]=>[1,6,2,3,4,5,8,7]=>[1,6,2,3,4,5,8,7]=>([(1,2),(3,7),(4,7),(5,7),(6,7)],8)
[4,5,8,7,2,6,3,1]=>[1,2,6,3,4,5,8,7]=>[1,2,6,3,4,5,8,7]=>([(2,3),(4,7),(5,7),(6,7)],8)
[3,5,8,2,7,6,4,1]=>[1,2,7,3,5,8,4,6]=>[1,2,7,8,3,4,5,6]=>([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[3,5,8,1,7,6,4,2]=>[1,7,2,3,5,8,4,6]=>[1,7,2,8,3,4,5,6]=>([(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[2,5,8,7,1,6,3,4]=>[1,6,2,5,8,3,4,7]=>[1,6,8,3,2,5,4,7]=>([(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[2,4,8,7,1,6,3,5]=>[1,6,2,4,8,3,5,7]=>[1,6,8,2,3,4,5,7]=>([(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[2,8,4,7,1,5,3,6]=>[1,5,2,8,3,6,4,7]=>[1,5,8,6,2,3,4,7]=>([(1,7),(2,3),(2,4),(2,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,8,4,7,2,5,3,6]=>[1,8,2,5,3,6,4,7]=>[1,8,5,6,2,3,4,7]=>([(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[1,5,8,2,7,6,4,3]=>[1,5,8,2,7,3,4,6]=>[1,8,7,3,5,4,2,6]=>([(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,5,8,3,7,6,4,1]=>[1,2,5,8,3,7,4,6]=>[1,2,8,7,5,4,3,6]=>([(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,4,2,8,7,6,5,3]=>[1,4,2,8,3,5,6,7]=>[1,4,8,2,3,5,6,7]=>([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[1,8,3,2,7,5,4,6]=>[1,8,2,7,3,4,6,5]=>[1,8,7,3,6,4,2,5]=>([(1,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,1,3,2,6,5,4,7]=>[1,3,2,6,4,7,5,8]=>[1,3,2,6,7,4,5,8]=>([(2,3),(4,6),(4,7),(5,6),(5,7)],8)
[8,2,3,1,6,5,4,7]=>[1,6,2,3,4,7,5,8]=>[1,6,2,3,7,4,5,8]=>([(2,7),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[2,3,8,1,7,6,4,5]=>[1,7,2,3,8,4,5,6]=>[1,7,2,8,4,5,3,6]=>([(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[3,4,1,8,7,6,5,2]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>([(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[4,3,1,8,7,6,5,2]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>([(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[4,2,1,8,7,6,5,3]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>([(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[8,3,2,1,6,5,4,7]=>[1,6,2,3,4,7,5,8]=>[1,6,2,3,7,4,5,8]=>([(2,7),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[8,4,2,6,1,5,3,7]=>[1,5,2,6,3,7,4,8]=>[1,5,6,7,2,3,4,8]=>([(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[4,2,8,7,1,6,3,5]=>[1,6,2,8,3,5,4,7]=>[1,6,8,5,3,2,4,7]=>([(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[5,2,8,7,1,6,3,4]=>[1,6,2,8,3,4,5,7]=>[1,6,8,3,4,2,5,7]=>([(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[5,2,8,1,7,6,4,3]=>[1,7,2,8,3,4,5,6]=>[1,7,8,3,4,5,2,6]=>([(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[5,3,8,1,7,6,4,2]=>[1,7,2,3,8,4,5,6]=>[1,7,2,8,4,5,3,6]=>([(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[5,3,8,2,7,6,4,1]=>[1,2,7,3,8,4,5,6]=>[1,2,7,8,4,5,3,6]=>([(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[6,8,3,2,7,5,4,1]=>[1,2,7,3,4,5,6,8]=>[1,2,7,3,4,5,6,8]=>([(3,7),(4,7),(5,7),(6,7)],8)
[6,8,3,1,7,5,4,2]=>[1,7,2,3,4,5,6,8]=>[1,7,2,3,4,5,6,8]=>([(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[6,8,2,1,7,5,4,3]=>[1,7,2,3,4,5,6,8]=>[1,7,2,3,4,5,6,8]=>([(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[6,8,2,7,1,5,3,4]=>[1,5,2,7,3,4,6,8]=>[1,5,7,3,2,4,6,8]=>([(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[6,8,7,2,1,4,3,5]=>[1,4,2,3,5,6,8,7]=>[1,4,2,3,5,6,8,7]=>([(3,4),(5,7),(6,7)],8)
[8,5,6,1,2,4,3,7]=>[1,2,4,3,7,5,6,8]=>[1,2,4,3,7,5,6,8]=>([(3,4),(5,7),(6,7)],8)
[5,8,7,1,2,4,3,6]=>[1,2,4,3,6,5,8,7]=>[1,2,4,3,6,5,8,7]=>([(2,7),(3,6),(4,5)],8)
[6,8,1,2,7,5,4,3]=>[1,2,7,3,4,5,6,8]=>[1,2,7,3,4,5,6,8]=>([(3,7),(4,7),(5,7),(6,7)],8)
[6,8,2,3,7,5,4,1]=>[1,2,3,7,4,5,6,8]=>[1,2,3,7,4,5,6,8]=>([(4,7),(5,7),(6,7)],8)
[5,2,8,3,7,6,4,1]=>[1,2,8,3,7,4,5,6]=>[1,2,8,7,4,5,3,6]=>([(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,1,8,3,7,6,4,2]=>[1,8,2,3,7,4,5,6]=>[1,8,2,7,4,5,3,6]=>([(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,1,8,7,2,6,3,4]=>[1,8,2,6,3,4,5,7]=>[1,8,6,3,4,2,5,7]=>([(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,1,8,7,2,6,3,5]=>[1,8,2,6,3,5,4,7]=>[1,8,6,5,3,2,4,7]=>([(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,8,1,7,2,5,3,6]=>[1,7,2,5,3,6,4,8]=>[1,7,5,6,2,3,4,8]=>([(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[8,4,1,6,2,5,3,7]=>[1,6,2,5,3,7,4,8]=>[1,6,5,7,2,3,4,8]=>([(2,3),(2,4),(2,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,3,1,2,6,5,4,7]=>[1,2,6,3,4,7,5,8]=>[1,2,6,3,7,4,5,8]=>([(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[3,8,1,2,7,5,4,6]=>[1,2,7,3,8,4,6,5]=>[1,2,7,8,6,4,3,5]=>([(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[3,1,8,2,7,6,4,5]=>[1,8,2,7,3,4,5,6]=>[1,8,7,3,4,5,2,6]=>([(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,1,2,8,7,6,5,4]=>[1,2,8,3,4,5,6,7]=>[1,2,8,3,4,5,6,7]=>([(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[4,1,3,8,7,6,5,2]=>[1,3,8,2,4,5,6,7]=>[1,8,3,2,4,5,6,7]=>([(1,7),(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[3,1,4,8,7,6,5,2]=>[1,4,8,2,3,5,6,7]=>[1,8,2,4,3,5,6,7]=>([(1,7),(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[2,1,8,3,7,6,4,5]=>[1,8,2,3,7,4,5,6]=>[1,8,2,7,4,5,3,6]=>([(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,8,1,3,7,5,4,6]=>[1,3,7,2,8,4,6,5]=>[1,7,3,8,6,4,2,5]=>([(1,6),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[8,2,1,3,6,5,4,7]=>[1,3,6,2,4,7,5,8]=>[1,6,3,2,7,4,5,8]=>([(2,5),(2,6),(3,4),(3,7),(4,7),(5,7),(6,7)],8)
[8,1,2,3,6,5,4,7]=>[1,2,3,6,4,7,5,8]=>[1,2,3,6,7,4,5,8]=>([(4,6),(4,7),(5,6),(5,7)],8)
[1,8,2,3,7,5,4,6]=>[1,8,2,3,7,4,6,5]=>[1,8,2,7,6,4,3,5]=>([(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,2,8,3,7,6,4,5]=>[1,2,8,3,7,4,5,6]=>[1,2,8,7,4,5,3,6]=>([(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,4,3,6,8,2,5,7]=>[1,4,2,5,7,3,6,8]=>[1,4,7,2,5,3,6,8]=>([(2,7),(3,4),(3,7),(4,6),(5,6),(5,7),(6,7)],8)
[3,1,6,2,5,8,4,7]=>[1,6,2,5,8,3,4,7]=>[1,6,8,3,2,5,4,7]=>([(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[3,5,1,8,2,4,7,6]=>[1,8,2,4,7,3,5,6]=>[1,8,7,2,3,5,4,6]=>([(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,4,5,2,8,3,7,6]=>[1,4,5,2,8,3,7,6]=>[1,5,8,4,2,7,3,6]=>([(1,4),(1,7),(2,3),(2,5),(2,7),(3,5),(3,6),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,4,2,6,5,8,3,7]=>[1,4,2,6,3,7,5,8]=>[1,4,6,2,7,3,5,8]=>([(2,5),(2,7),(3,4),(3,7),(4,6),(5,6),(6,7)],8)
[1,5,4,2,6,8,3,7]=>[1,5,2,6,8,3,7,4]=>[1,5,8,7,2,6,3,4]=>([(1,2),(1,4),(1,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,1,6,5,8,2,4,7]=>[1,6,2,4,7,3,5,8]=>[1,6,7,2,3,4,5,8]=>([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[1,6,4,2,5,8,3,7]=>[1,6,2,5,8,3,7,4]=>[1,6,8,7,2,5,3,4]=>([(1,4),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(5,6),(5,7),(6,7)],8)
[1,5,2,6,4,8,3,7]=>[1,5,2,6,3,7,4,8]=>[1,5,6,7,2,3,4,8]=>([(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[1,2,6,5,4,8,3,7]=>[1,2,6,3,7,4,8,5]=>[1,2,6,7,8,3,4,5]=>([(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[1,2,5,4,7,3,8,6]=>[1,2,5,3,8,4,7,6]=>[1,2,5,8,3,7,4,6]=>([(2,3),(2,7),(3,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,1,2,6,3,8,7,5]=>[1,2,6,3,8,4,5,7]=>[1,2,6,8,4,3,5,7]=>([(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[7,1,5,4,2,8,3,6]=>[1,5,2,8,3,6,4,7]=>[1,5,8,6,2,3,4,7]=>([(1,7),(2,3),(2,4),(2,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,4,7,5,2,8,3,6]=>[1,4,7,2,8,3,6,5]=>[1,7,8,4,6,3,2,5]=>([(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[7,1,3,5,2,8,4,6]=>[1,3,5,2,8,4,6,7]=>[1,5,3,8,2,4,6,7]=>([(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7)],8)
[7,2,5,1,8,3,4,6]=>[1,8,2,5,3,4,6,7]=>[1,8,5,3,2,4,6,7]=>([(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,4,5,2,8,7,3,6]=>[1,4,5,2,8,3,6,7]=>[1,5,8,4,2,3,6,7]=>([(1,7),(2,7),(3,4),(3,5),(3,6),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,6,4,2,8,3,7,5]=>[1,6,2,8,3,7,4,5]=>[1,6,8,7,4,2,3,5]=>([(1,4),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(5,6),(5,7),(6,7)],8)
[1,4,2,8,3,7,6,5]=>[1,4,2,8,3,7,5,6]=>[1,4,8,2,7,5,3,6]=>([(1,2),(1,7),(2,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,2,5,3,8,7,6,4]=>[1,2,5,3,8,4,6,7]=>[1,2,5,8,3,4,6,7]=>([(2,7),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[1,2,8,6,5,3,7,4]=>[1,2,8,3,7,4,5,6]=>[1,2,8,7,4,5,3,6]=>([(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,5,2,8,6,3,7,4]=>[1,5,2,8,3,7,4,6]=>[1,5,8,7,2,4,3,6]=>([(1,6),(1,7),(2,3),(2,6),(2,7),(3,4),(3,5),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,6,4,2,8,7,3,5]=>[1,6,2,8,3,5,4,7]=>[1,6,8,5,3,2,4,7]=>([(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[6,2,1,8,7,3,4,5]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>([(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[7,6,2,1,8,3,4,5]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>([(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[7,3,1,6,2,8,4,5]=>[1,6,2,8,3,4,5,7]=>[1,6,8,3,4,2,5,7]=>([(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[1,7,6,4,2,8,3,5]=>[1,7,2,8,3,5,4,6]=>[1,7,8,5,3,4,2,6]=>([(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[1,7,5,2,6,3,8,4]=>[1,7,2,6,3,8,4,5]=>[1,7,6,8,4,2,3,5]=>([(1,4),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(5,6),(5,7),(6,7)],8)
[1,6,2,7,5,3,8,4]=>[1,6,2,7,3,8,4,5]=>[1,6,7,8,4,2,3,5]=>([(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,7),(5,7),(6,7)],8)
[1,2,7,6,5,3,8,4]=>[1,2,7,3,8,4,5,6]=>[1,2,7,8,4,5,3,6]=>([(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[1,2,6,5,3,8,7,4]=>[1,2,6,3,8,4,5,7]=>[1,2,6,8,4,3,5,7]=>([(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[1,5,2,6,3,8,7,4]=>[1,5,2,6,3,8,4,7]=>[1,5,6,8,2,3,4,7]=>([(1,7),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8)
[1,5,2,7,6,3,8,4]=>[1,5,2,7,3,8,4,6]=>[1,5,7,8,2,4,3,6]=>([(1,6),(1,7),(2,3),(2,4),(2,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[1,6,5,2,7,3,8,4]=>[1,6,2,7,3,8,4,5]=>[1,6,7,8,4,2,3,5]=>([(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,7),(5,7),(6,7)],8)
[4,1,2,8,6,3,7,5]=>[1,2,8,3,7,4,5,6]=>[1,2,8,7,4,5,3,6]=>([(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,1,8,6,2,4,7,5]=>[1,8,2,4,7,3,5,6]=>[1,8,7,2,3,5,4,6]=>([(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,3,7,1,8,2,5,6]=>[1,8,2,5,6,3,7,4]=>[1,8,6,7,2,5,3,4]=>([(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[8,3,1,6,2,4,7,5]=>[1,6,2,4,7,3,5,8]=>[1,6,7,2,3,4,5,8]=>([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[7,1,8,3,2,4,6,5]=>[1,8,2,4,6,3,5,7]=>[1,8,6,2,3,4,5,7]=>([(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,8,7,3,2,4,6,5]=>[1,8,2,4,6,3,5,7]=>[1,8,6,2,3,4,5,7]=>([(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,4,2,8,7,3,6,5]=>[1,4,2,8,3,6,5,7]=>[1,4,8,2,6,3,5,7]=>([(1,7),(2,3),(2,7),(3,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,7,4,2,8,3,6,5]=>[1,7,2,8,3,6,4,5]=>[1,7,8,6,4,3,2,5]=>([(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[8,1,5,4,2,7,3,6]=>[1,5,2,7,3,6,4,8]=>[1,5,7,6,2,3,4,8]=>([(2,3),(2,4),(2,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,4,8,5,2,7,3,6]=>[1,4,8,2,7,3,6,5]=>[1,8,7,4,6,3,2,5]=>([(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,5,3,1,7,2,4,6]=>[1,7,2,4,6,3,5,8]=>[1,7,6,2,3,4,5,8]=>([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,6,2,1,7,3,4,5]=>[1,7,2,3,4,5,6,8]=>[1,7,2,3,4,5,6,8]=>([(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[1,8,6,4,2,7,3,5]=>[1,8,2,7,3,5,4,6]=>[1,8,7,5,3,4,2,6]=>([(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,8,5,2,6,3,7,4]=>[1,8,2,6,3,7,4,5]=>[1,8,6,7,4,2,3,5]=>([(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[1,5,2,7,3,8,6,4]=>[1,5,2,7,3,8,4,6]=>[1,5,7,8,2,4,3,6]=>([(1,6),(1,7),(2,3),(2,4),(2,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[1,2,8,5,3,7,6,4]=>[1,2,8,3,7,4,5,6]=>[1,2,8,7,4,5,3,6]=>([(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,2,6,3,8,7,5,4]=>[1,2,6,3,8,4,5,7]=>[1,2,6,8,4,3,5,7]=>([(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[1,2,7,6,3,8,5,4]=>[1,2,7,3,8,4,5,6]=>[1,2,7,8,4,5,3,6]=>([(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[1,6,2,7,3,8,5,4]=>[1,6,2,7,3,8,4,5]=>[1,6,7,8,4,2,3,5]=>([(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,7),(5,7),(6,7)],8)
[1,7,2,8,5,3,6,4]=>[1,7,2,8,3,6,4,5]=>[1,7,8,6,4,3,2,5]=>([(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[1,7,4,2,8,6,3,5]=>[1,7,2,8,3,5,4,6]=>[1,7,8,5,3,4,2,6]=>([(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[7,1,8,3,2,6,4,5]=>[1,8,2,6,3,4,5,7]=>[1,8,6,3,4,2,5,7]=>([(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,2,1,8,6,3,4,5]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>([(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[1,8,7,3,2,6,4,5]=>[1,8,2,6,3,4,5,7]=>[1,8,6,3,4,2,5,7]=>([(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,4,2,8,7,6,3,5]=>[1,4,2,8,3,5,6,7]=>[1,4,8,2,3,5,6,7]=>([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[1,2,8,7,5,3,6,4]=>[1,2,8,3,6,4,5,7]=>[1,2,8,6,4,3,5,7]=>([(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,2,8,6,3,7,5,4]=>[1,2,8,3,7,4,5,6]=>[1,2,8,7,4,5,3,6]=>([(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,2,7,3,8,6,5,4]=>[1,2,7,3,8,4,5,6]=>[1,2,7,8,4,5,3,6]=>([(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[4,1,7,3,6,5,8,2]=>[1,7,2,3,6,4,5,8]=>[1,7,2,6,4,3,5,8]=>([(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,1,8,7,6,2,4,3]=>[1,8,2,4,3,5,6,7]=>[1,8,4,2,3,5,6,7]=>([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,1,7,6,3,4,5,2]=>[1,7,2,3,4,5,6,8]=>[1,7,2,3,4,5,6,8]=>([(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[5,7,8,6,2,4,1,3]=>[1,3,2,4,5,7,8,6]=>[1,3,2,4,5,8,7,6]=>([(3,4),(5,6),(5,7),(6,7)],8)
[5,7,1,6,2,4,3,8]=>[1,6,2,4,3,8,5,7]=>[1,6,4,2,8,3,5,7]=>([(1,6),(2,5),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7)],8)
[6,4,1,5,2,7,3,8]=>[1,5,2,7,3,8,4,6]=>[1,5,7,8,2,4,3,6]=>([(1,6),(1,7),(2,3),(2,4),(2,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[8,1,4,5,3,7,6,2]=>[1,4,5,2,3,7,6,8]=>[1,5,2,4,3,7,6,8]=>([(2,3),(4,7),(5,6),(5,7),(6,7)],8)
[6,1,4,5,3,8,7,2]=>[1,4,5,2,3,8,6,7]=>[1,5,2,4,3,8,6,7]=>([(1,7),(2,4),(3,4),(5,6),(5,7),(6,7)],8)
[6,1,4,5,3,7,8,2]=>[1,4,5,2,3,7,8,6]=>[1,5,2,4,3,8,7,6]=>([(1,7),(2,3),(2,4),(3,4),(5,6),(5,7),(6,7)],8)
[5,1,7,8,6,2,4,3]=>[1,7,8,2,4,3,5,6]=>[1,8,4,2,3,5,7,6]=>([(1,7),(2,3),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,1,4,8,3,5,7,2]=>[1,4,8,2,3,5,7,6]=>[1,8,2,4,3,7,5,6]=>([(1,7),(2,3),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,1,8,6,3,4,5,2]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>([(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[7,1,4,5,3,8,6,2]=>[1,4,5,2,3,8,6,7]=>[1,5,2,4,3,8,6,7]=>([(1,7),(2,4),(3,4),(5,6),(5,7),(6,7)],8)
[8,1,4,5,3,6,7,2]=>[1,4,5,2,3,6,7,8]=>[1,5,2,4,3,6,7,8]=>([(4,7),(5,6),(5,7),(6,7)],8)
[7,4,1,5,2,6,3,8]=>[1,5,2,6,3,8,4,7]=>[1,5,6,8,2,3,4,7]=>([(1,7),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8)
[6,3,5,7,2,1,4,8]=>[1,4,8,2,3,5,7,6]=>[1,8,2,4,3,7,5,6]=>([(1,7),(2,3),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,3,5,8,2,1,7,4]=>[1,7,2,3,5,8,4,6]=>[1,7,2,8,3,4,5,6]=>([(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[6,3,5,7,2,1,8,4]=>[1,8,2,3,5,7,4,6]=>[1,8,2,7,3,4,5,6]=>([(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,4,5,7,3,6,1,2]=>[1,2,3,6,4,5,7,8]=>[1,2,3,6,4,5,7,8]=>([(5,7),(6,7)],8)
[6,4,5,8,3,7,2,1]=>[1,2,3,7,4,5,8,6]=>[1,2,3,7,4,8,5,6]=>([(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[5,8,7,6,2,4,1,3]=>[1,3,2,4,5,8,6,7]=>[1,3,2,4,5,8,6,7]=>([(3,4),(5,7),(6,7)],8)
[5,4,8,6,3,1,7,2]=>[1,7,2,3,4,8,5,6]=>[1,7,2,3,8,5,4,6]=>([(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[5,4,1,8,2,3,7,6]=>[1,8,2,3,7,4,5,6]=>[1,8,2,7,4,5,3,6]=>([(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,8,1,6,2,4,3,7]=>[1,6,2,4,3,7,5,8]=>[1,6,4,2,7,3,5,8]=>([(2,3),(2,7),(3,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,4,1,5,2,6,3,7]=>[1,5,2,6,3,7,4,8]=>[1,5,6,7,2,3,4,8]=>([(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[6,3,5,8,2,1,4,7]=>[1,4,7,2,3,5,8,6]=>[1,7,2,4,3,8,5,6]=>([(1,7),(2,5),(2,6),(3,4),(3,7),(4,7),(5,7),(6,7)],8)
[2,3,4,1,8,6,5,7]=>[1,8,2,3,4,5,7,6]=>[1,8,2,3,4,7,5,6]=>([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,3,5,6,2,1,4,7]=>[1,4,7,2,3,5,6,8]=>[1,7,2,4,3,5,6,8]=>([(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[2,3,8,6,1,5,7,4]=>[1,5,7,2,3,8,4,6]=>[1,7,2,8,5,4,3,6]=>([(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[2,8,6,7,1,3,5,4]=>[1,3,5,2,8,4,6,7]=>[1,5,3,8,2,4,6,7]=>([(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7)],8)
[8,3,5,7,2,1,6,4]=>[1,6,2,3,5,7,4,8]=>[1,6,2,7,3,5,4,8]=>([(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[2,3,8,5,6,1,7,4]=>[1,7,2,3,8,4,5,6]=>[1,7,2,8,4,5,3,6]=>([(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[7,4,5,6,3,1,8,2]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>([(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[8,4,5,6,3,1,7,2]=>[1,7,2,3,4,5,6,8]=>[1,7,2,3,4,5,6,8]=>([(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[7,3,5,6,2,8,1,4]=>[1,4,2,8,3,5,6,7]=>[1,4,8,2,3,5,6,7]=>([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[7,3,5,8,2,1,6,4]=>[1,6,2,3,5,8,4,7]=>[1,6,2,8,3,5,4,7]=>([(1,7),(2,6),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[7,3,5,6,2,1,4,8]=>[1,4,8,2,3,5,6,7]=>[1,8,2,4,3,5,6,7]=>([(1,7),(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[2,7,6,8,1,3,5,4]=>[1,3,5,2,7,4,6,8]=>[1,5,3,7,2,4,6,8]=>([(2,7),(3,5),(3,6),(4,6),(4,7),(5,6),(5,7)],8)
[2,7,6,5,8,3,1,4]=>[1,4,2,7,3,5,8,6]=>[1,4,7,2,3,8,5,6]=>([(1,5),(1,6),(2,3),(2,4),(3,7),(4,7),(5,7),(6,7)],8)
[8,7,5,6,1,4,2,3]=>[1,4,2,3,5,6,7,8]=>[1,4,2,3,5,6,7,8]=>([(5,7),(6,7)],8)
[2,6,4,1,8,5,7,3]=>[1,8,2,6,3,4,5,7]=>[1,8,6,3,4,2,5,7]=>([(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,7,1,3,6,5,8,4]=>[1,3,6,2,7,4,5,8]=>[1,6,3,7,4,2,5,8]=>([(2,5),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[2,7,6,8,4,3,1,5]=>[1,5,2,7,3,4,6,8]=>[1,5,7,3,2,4,6,8]=>([(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[2,7,6,1,8,3,4,5]=>[1,8,2,7,3,4,5,6]=>[1,8,7,3,4,5,2,6]=>([(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,7,6,1,4,3,5,8]=>[1,4,2,7,3,5,8,6]=>[1,4,7,2,3,8,5,6]=>([(1,5),(1,6),(2,3),(2,4),(3,7),(4,7),(5,7),(6,7)],8)
[7,3,5,1,2,8,4,6]=>[1,2,8,3,5,4,6,7]=>[1,2,8,5,3,4,6,7]=>([(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,4,1,5,2,3,7,6]=>[1,5,2,3,7,4,6,8]=>[1,5,2,7,3,4,6,8]=>([(2,7),(3,6),(4,6),(4,7),(5,6),(5,7)],8)
[7,8,1,6,3,4,2,5]=>[1,6,2,5,3,4,7,8]=>[1,6,5,3,2,4,7,8]=>([(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,4,1,8,3,2,7,5]=>[1,8,2,7,3,4,5,6]=>[1,8,7,3,4,5,2,6]=>([(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,3,8,6,4,1,7,5]=>[1,7,2,3,8,4,5,6]=>[1,7,2,8,4,5,3,6]=>([(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[2,8,6,7,4,3,1,5]=>[1,5,2,8,3,4,6,7]=>[1,5,8,3,2,4,6,7]=>([(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[8,3,5,7,2,4,1,6]=>[1,6,2,4,3,5,7,8]=>[1,6,4,2,3,5,7,8]=>([(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,3,4,1,8,7,5,6]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>([(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[2,8,6,1,7,3,4,5]=>[1,7,2,8,3,4,5,6]=>[1,7,8,3,4,5,2,6]=>([(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[2,3,8,1,6,4,7,5]=>[1,6,2,3,8,4,7,5]=>[1,6,2,8,7,3,4,5]=>([(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6)],8)
[2,3,8,1,4,5,7,6]=>[1,4,5,7,2,3,8,6]=>[1,7,2,4,5,8,3,6]=>([(1,7),(2,3),(2,7),(3,6),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,2,3,4,5,6,7,9,8]=>[1,2,3,4,5,6,7,9,8]=>[1,2,3,4,5,6,7,9,8]=>([(7,8)],9)
[2,1,3,4,5,6,7,8,9]=>[1,3,4,5,6,7,8,9,2]=>[1,9,3,4,5,6,7,8,2]=>([(1,7),(1,8),(2,7),(2,8),(3,7),(3,8),(4,7),(4,8),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[1,2,3,4,5,6,7,8,10,9]=>[1,2,3,4,5,6,7,8,10,9]=>[1,2,3,4,5,6,7,8,10,9]=>([(8,9)],10)
[2,1,3,4,5,6,7,8,9,10]=>[1,3,4,5,6,7,8,9,10,2]=>[1,10,3,4,5,6,7,8,9,2]=>([(1,8),(1,9),(2,8),(2,9),(3,8),(3,9),(4,8),(4,9),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[1,2,3,4,5,6,7,8,9,11,10]=>[1,2,3,4,5,6,7,8,9,11,10]=>[1,2,3,4,5,6,7,8,9,11,10]=>([(9,10)],11)
[9,1,2,3,4,5,6,7,10,8]=>[1,2,3,4,5,6,7,10,8,9]=>[1,2,3,4,5,6,7,10,8,9]=>([(7,9),(8,9)],10)
[1,8,2,3,4,5,6,9,7]=>[1,8,2,3,4,5,6,9,7]=>[1,8,2,3,4,5,9,6,7]=>([(1,8),(2,8),(3,8),(4,8),(5,7),(5,8),(6,7),(6,8)],9)
[7,1,2,3,4,5,6,9,8]=>[1,2,3,4,5,6,9,7,8]=>[1,2,3,4,5,6,9,7,8]=>([(6,8),(7,8)],9)
[2,1,9,3,4,5,6,7,8]=>[1,9,2,3,4,5,6,7,8]=>[1,9,2,3,4,5,6,7,8]=>([(1,8),(2,8),(3,8),(4,8),(5,8),(6,8),(7,8)],9)
[8,4,3,6,5,1,7,2]=>[1,7,2,3,6,4,5,8]=>[1,7,2,6,4,3,5,8]=>([(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,5,6,3,4,1,7,2]=>[1,7,2,3,4,5,6,8]=>[1,7,2,3,4,5,6,8]=>([(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[8,6,5,4,3,1,7,2]=>[1,7,2,3,4,5,6,8]=>[1,7,2,3,4,5,6,8]=>([(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[1,7,6,5,4,2,3,8]=>[1,7,2,3,8,4,5,6]=>[1,7,2,8,4,5,3,6]=>([(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[1,8,6,5,2,7,3,4]=>[1,8,2,7,3,4,5,6]=>[1,8,7,3,4,5,2,6]=>([(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,7,5,4,1,6,3,2]=>[1,6,2,3,4,5,7,8]=>[1,6,2,3,4,5,7,8]=>([(3,7),(4,7),(5,7),(6,7)],8)
[7,8,5,4,1,3,6,2]=>[1,3,6,2,4,5,7,8]=>[1,6,3,2,4,5,7,8]=>([(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[6,8,5,4,2,1,7,3]=>[1,7,2,3,4,5,6,8]=>[1,7,2,3,4,5,6,8]=>([(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[5,8,6,2,4,1,7,3]=>[1,7,2,4,3,5,8,6]=>[1,7,4,2,3,8,5,6]=>([(1,2),(1,3),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,8,2,6,5,1,7,3]=>[1,7,2,6,3,4,8,5]=>[1,7,6,3,8,2,4,5]=>([(1,3),(1,6),(1,7),(2,3),(2,6),(2,7),(3,5),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,2,8,6,5,1,7,4]=>[1,7,2,8,3,4,5,6]=>[1,7,8,3,4,5,2,6]=>([(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[3,2,1,7,6,4,5,8]=>[1,7,2,3,4,5,8,6]=>[1,7,2,3,4,8,5,6]=>([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[7,1,6,5,2,4,3,8]=>[1,6,2,4,3,8,5,7]=>[1,6,4,2,8,3,5,7]=>([(1,6),(2,5),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7)],8)
[1,2,7,6,3,4,5,8]=>[1,2,7,3,4,5,8,6]=>[1,2,7,3,4,8,5,6]=>([(2,7),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[1,2,8,3,7,4,5,6]=>[1,2,8,3,7,4,5,6]=>[1,2,8,7,4,5,3,6]=>([(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,1,7,2,6,3,5,4]=>[1,7,2,6,3,5,4,8]=>[1,7,6,5,3,2,4,8]=>([(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,1,8,2,6,4,3,5]=>[1,8,2,6,3,5,4,7]=>[1,8,6,5,3,2,4,7]=>([(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,1,8,2,4,7,3,5]=>[1,8,2,4,7,3,5,6]=>[1,8,7,2,3,5,4,6]=>([(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,1,8,3,2,7,4,6]=>[1,8,2,7,3,4,6,5]=>[1,8,7,3,6,4,2,5]=>([(1,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,2,1,8,4,7,5,6]=>[1,8,2,3,4,7,5,6]=>[1,8,2,3,7,5,4,6]=>([(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,2,8,7,1,6,5,4]=>[1,6,2,8,3,4,5,7]=>[1,6,8,3,4,2,5,7]=>([(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[5,8,7,2,1,6,4,3]=>[1,6,2,3,4,5,8,7]=>[1,6,2,3,4,5,8,7]=>([(1,2),(3,7),(4,7),(5,7),(6,7)],8)
[6,8,7,1,3,5,4,2]=>[1,3,5,2,4,6,8,7]=>[1,5,3,2,4,6,8,7]=>([(2,3),(4,7),(5,6),(5,7),(6,7)],8)
[7,8,6,1,5,3,4,2]=>[1,5,2,3,4,6,7,8]=>[1,5,2,3,4,6,7,8]=>([(4,7),(5,7),(6,7)],8)
[8,7,6,1,5,4,3,2]=>[1,5,2,3,4,6,7,8]=>[1,5,2,3,4,6,7,8]=>([(4,7),(5,7),(6,7)],8)
[1,8,7,2,6,5,3,4]=>[1,8,2,6,3,4,5,7]=>[1,8,6,3,4,2,5,7]=>([(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,7,8,2,5,6,3,4]=>[1,7,8,2,5,6,3,4]=>[1,8,6,3,2,5,7,4]=>([(1,5),(1,7),(2,3),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,6,7,1,4,5,3,2]=>[1,4,5,2,3,6,7,8]=>[1,5,2,4,3,6,7,8]=>([(4,7),(5,6),(5,7),(6,7)],8)
[7,6,8,1,4,3,5,2]=>[1,4,2,3,5,6,8,7]=>[1,4,2,3,5,6,8,7]=>([(3,4),(5,7),(6,7)],8)
[6,5,8,3,2,1,7,4]=>[1,7,2,3,4,5,8,6]=>[1,7,2,3,4,8,5,6]=>([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[7,5,8,3,1,4,6,2]=>[1,4,6,2,3,5,8,7]=>[1,6,2,4,3,5,8,7]=>([(1,2),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[8,5,7,3,1,6,4,2]=>[1,6,2,3,4,5,7,8]=>[1,6,2,3,4,5,7,8]=>([(3,7),(4,7),(5,7),(6,7)],8)
[1,5,4,8,2,7,3,6]=>[1,5,2,7,3,6,4,8]=>[1,5,7,6,2,3,4,8]=>([(2,3),(2,4),(2,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,4,3,8,1,5,6,2]=>[1,5,6,2,3,8,4,7]=>[1,6,2,8,5,3,4,7]=>([(1,7),(2,6),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[6,4,3,1,5,2,7,8]=>[1,5,2,7,8,3,4,6]=>[1,5,8,3,2,4,7,6]=>([(1,2),(1,7),(2,7),(3,4),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[7,4,3,1,2,6,5,8]=>[1,2,6,3,4,5,8,7]=>[1,2,6,3,4,5,8,7]=>([(2,3),(4,7),(5,7),(6,7)],8)
[8,4,3,1,2,5,7,6]=>[1,2,5,7,3,4,6,8]=>[1,2,7,3,5,4,6,8]=>([(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[8,5,1,4,2,3,7,6]=>[1,4,2,3,7,5,6,8]=>[1,4,2,3,7,5,6,8]=>([(2,7),(3,7),(4,6),(5,6)],8)
[7,5,1,4,2,6,3,8]=>[1,4,2,6,3,8,5,7]=>[1,4,6,2,8,3,5,7]=>([(1,7),(2,3),(2,5),(3,6),(4,5),(4,7),(5,6),(6,7)],8)
[6,5,1,4,3,2,7,8]=>[1,4,2,7,8,3,5,6]=>[1,4,8,2,3,5,7,6]=>([(1,7),(2,5),(2,6),(3,4),(3,7),(4,7),(5,7),(6,7)],8)
[4,6,2,1,5,3,7,8]=>[1,5,2,3,7,8,4,6]=>[1,5,2,8,3,4,7,6]=>([(1,6),(2,3),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[3,2,6,1,5,4,7,8]=>[1,5,2,6,3,4,7,8]=>[1,5,6,3,2,4,7,8]=>([(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[3,2,7,1,4,6,5,8]=>[1,4,6,2,7,3,5,8]=>[1,6,7,4,3,2,5,8]=>([(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[4,7,2,1,3,6,5,8]=>[1,3,6,2,4,7,5,8]=>[1,6,3,2,7,4,5,8]=>([(2,5),(2,6),(3,4),(3,7),(4,7),(5,7),(6,7)],8)
[5,7,1,3,2,6,4,8]=>[1,3,2,6,4,8,5,7]=>[1,3,2,6,8,4,5,7]=>([(1,2),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[6,7,1,2,4,5,3,8]=>[1,2,4,5,3,8,6,7]=>[1,2,5,4,3,8,6,7]=>([(2,7),(3,7),(4,5),(4,6),(5,6)],8)
[7,6,1,2,5,4,3,8]=>[1,2,5,3,8,4,6,7]=>[1,2,5,8,3,4,6,7]=>([(2,7),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[8,6,1,2,5,3,7,4]=>[1,2,5,3,7,4,6,8]=>[1,2,5,7,3,4,6,8]=>([(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[1,7,2,3,6,4,5,8]=>[1,7,2,3,6,4,5,8]=>[1,7,2,6,4,3,5,8]=>([(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,7,1,2,3,6,5,4]=>[1,2,3,6,4,5,7,8]=>[1,2,3,6,4,5,7,8]=>([(5,7),(6,7)],8)
[7,8,1,2,3,5,6,4]=>[1,2,3,5,6,4,7,8]=>[1,2,3,6,5,4,7,8]=>([(5,6),(5,7),(6,7)],8)
[6,8,1,2,4,3,7,5]=>[1,2,4,3,7,5,6,8]=>[1,2,4,3,7,5,6,8]=>([(3,4),(5,7),(6,7)],8)
[5,8,1,3,2,4,7,6]=>[1,3,2,4,7,5,8,6]=>[1,3,2,4,7,8,5,6]=>([(2,3),(4,6),(4,7),(5,6),(5,7)],8)
[3,2,8,1,4,5,7,6]=>[1,4,5,7,2,8,3,6]=>[1,7,8,4,5,3,2,6]=>([(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[5,1,2,4,3,6,7,8]=>[1,2,4,3,6,7,8,5]=>[1,2,4,3,8,6,7,5]=>([(2,3),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,1,2,3,5,4,7,8]=>[1,2,3,5,4,7,8,6]=>[1,2,3,5,4,8,7,6]=>([(3,4),(5,6),(5,7),(6,7)],8)
[7,1,2,3,4,6,5,8]=>[1,2,3,4,6,5,8,7]=>[1,2,3,4,6,5,8,7]=>([(4,7),(5,6)],8)
[8,1,2,3,4,5,7,6]=>[1,2,3,4,5,7,6,8]=>[1,2,3,4,5,7,6,8]=>([(6,7)],8)
[6,7,3,8,5,1,2,4]=>[1,2,4,3,8,5,6,7]=>[1,2,4,3,8,5,6,7]=>([(2,3),(4,7),(5,7),(6,7)],8)
[6,7,4,5,1,8,3,2]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>([(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[5,4,7,6,8,1,2,3]=>[1,2,3,4,7,5,6,8]=>[1,2,3,4,7,5,6,8]=>([(5,7),(6,7)],8)
[3,8,4,5,7,1,2,6]=>[1,2,6,3,8,4,5,7]=>[1,2,6,8,4,3,5,7]=>([(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[3,4,8,6,7,1,2,5]=>[1,2,5,3,4,8,6,7]=>[1,2,5,3,4,8,6,7]=>([(2,7),(3,7),(4,6),(5,6)],8)
[4,5,6,7,1,8,3,2]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>([(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[1,5,6,8,2,3,7,4]=>[1,5,6,8,2,3,7,4]=>[1,8,2,7,5,6,3,4]=>([(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,5,6,2,8,4,7,3]=>[1,5,6,2,8,3,4,7]=>[1,6,8,3,5,2,4,7]=>([(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[2,5,6,3,4,7,8,1]=>[1,2,5,6,3,4,7,8]=>[1,2,6,3,5,4,7,8]=>([(4,7),(5,6),(5,7),(6,7)],8)
[1,4,2,6,8,5,7,3]=>[1,4,2,6,8,3,5,7]=>[1,4,8,2,3,6,5,7]=>([(1,7),(2,5),(2,6),(3,4),(3,7),(4,7),(5,7),(6,7)],8)
[8,1,3,2,5,4,6,7]=>[1,3,2,5,4,6,7,8]=>[1,3,2,5,4,6,7,8]=>([(4,7),(5,6)],8)
[2,8,3,1,5,7,4,6]=>[1,5,7,2,8,3,4,6]=>[1,7,8,3,5,4,2,6]=>([(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[2,4,1,6,8,7,5,3]=>[1,6,8,2,4,3,5,7]=>[1,8,4,2,3,6,5,7]=>([(1,7),(2,3),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,4,1,6,7,8,5,2]=>[1,6,7,8,2,3,4,5]=>[1,8,2,3,4,6,7,5]=>([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,3,1,7,6,8,5,2]=>[1,7,2,3,4,5,6,8]=>[1,7,2,3,4,5,6,8]=>([(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[5,2,7,8,1,6,3,4]=>[1,6,2,7,8,3,4,5]=>[1,6,8,3,4,2,7,5]=>([(1,4),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(6,7)],8)
[5,3,7,2,6,4,8,1]=>[1,2,6,3,7,4,8,5]=>[1,2,6,7,8,3,4,5]=>([(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[6,7,3,1,5,8,4,2]=>[1,5,8,2,3,4,6,7]=>[1,8,2,3,5,4,6,7]=>([(1,7),(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[6,7,2,1,8,5,4,3]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>([(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[6,7,2,8,1,5,3,4]=>[1,5,2,8,3,4,6,7]=>[1,5,8,3,2,4,6,7]=>([(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[6,7,8,2,1,4,3,5]=>[1,4,2,3,5,6,7,8]=>[1,4,2,3,5,6,7,8]=>([(5,7),(6,7)],8)
[6,7,1,2,8,4,5,3]=>[1,2,8,3,4,5,6,7]=>[1,2,8,3,4,5,6,7]=>([(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[6,7,1,3,4,8,5,2]=>[1,3,4,8,2,5,6,7]=>[1,8,3,4,2,5,6,7]=>([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,1,7,3,4,8,6,2]=>[1,7,2,3,4,8,5,6]=>[1,7,2,3,8,5,4,6]=>([(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[4,1,8,7,2,3,6,5]=>[1,8,2,3,6,4,5,7]=>[1,8,2,6,4,3,5,7]=>([(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,8,1,2,7,4,5,6]=>[1,2,7,3,8,4,5,6]=>[1,2,7,8,4,5,3,6]=>([(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[4,1,3,7,5,8,6,2]=>[1,3,7,2,4,5,8,6]=>[1,7,3,2,4,8,5,6]=>([(1,7),(2,5),(2,6),(3,4),(3,7),(4,7),(5,7),(6,7)],8)
[2,1,8,3,4,7,6,5]=>[1,8,2,3,4,7,5,6]=>[1,8,2,3,7,5,4,6]=>([(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,2,1,3,4,6,5,7]=>[1,3,4,6,2,5,7,8]=>[1,6,3,4,2,5,7,8]=>([(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,8,2,3,4,5,7,6]=>[1,8,2,3,4,5,7,6]=>[1,8,2,3,4,7,5,6]=>([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,2,8,3,4,6,7,5]=>[1,2,8,3,4,6,7,5]=>[1,2,8,3,7,4,6,5]=>([(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,2,1,6,5,8,7,3]=>[1,6,2,3,4,5,8,7]=>[1,6,2,3,4,5,8,7]=>([(1,2),(3,7),(4,7),(5,7),(6,7)],8)
[5,2,6,4,1,8,7,3]=>[1,8,2,6,3,4,5,7]=>[1,8,6,3,4,2,5,7]=>([(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,2,7,4,8,6,1,3]=>[1,3,2,7,4,8,5,6]=>[1,3,2,7,8,5,4,6]=>([(1,2),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[5,7,2,3,8,6,1,4]=>[1,4,2,3,8,5,7,6]=>[1,4,2,3,8,7,5,6]=>([(1,5),(2,5),(3,6),(3,7),(4,6),(4,7),(6,7)],8)
[5,7,2,3,8,1,6,4]=>[1,6,2,3,8,4,5,7]=>[1,6,2,8,4,3,5,7]=>([(1,7),(2,6),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[5,6,2,3,1,8,7,4]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>([(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[5,6,2,1,3,8,7,4]=>[1,3,8,2,4,5,6,7]=>[1,8,3,2,4,5,6,7]=>([(1,7),(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[5,1,6,4,2,8,7,3]=>[1,6,2,8,3,4,5,7]=>[1,6,8,3,4,2,5,7]=>([(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[5,6,1,3,2,8,7,4]=>[1,3,2,8,4,5,6,7]=>[1,3,2,8,4,5,6,7]=>([(1,2),(3,7),(4,7),(5,7),(6,7)],8)
[5,6,3,1,2,8,7,4]=>[1,2,8,3,4,5,6,7]=>[1,2,8,3,4,5,6,7]=>([(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[5,6,3,2,1,8,7,4]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>([(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[5,7,3,2,8,1,6,4]=>[1,6,2,8,3,4,5,7]=>[1,6,8,3,4,2,5,7]=>([(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[6,7,3,8,2,1,5,4]=>[1,5,2,3,8,4,6,7]=>[1,5,2,8,3,4,6,7]=>([(1,7),(2,7),(3,6),(4,6),(4,7),(5,6),(5,7)],8)
[6,7,3,8,1,2,5,4]=>[1,2,5,3,8,4,6,7]=>[1,2,5,8,3,4,6,7]=>([(2,7),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[5,7,3,1,8,2,6,4]=>[1,8,2,6,3,4,5,7]=>[1,8,6,3,4,2,5,7]=>([(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,1,7,4,8,2,6,3]=>[1,7,2,6,3,4,8,5]=>[1,7,6,3,8,2,4,5]=>([(1,3),(1,6),(1,7),(2,3),(2,6),(2,7),(3,5),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,5,7,4,8,6,3,2]=>[1,5,7,2,3,4,8,6]=>[1,7,2,3,5,8,4,6]=>([(1,7),(2,7),(3,4),(3,7),(4,6),(5,6),(5,7),(6,7)],8)
[5,1,7,4,8,6,2,3]=>[1,7,2,3,4,8,5,6]=>[1,7,2,3,8,5,4,6]=>([(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[5,7,1,3,8,6,2,4]=>[1,3,8,2,4,5,7,6]=>[1,8,3,2,4,7,5,6]=>([(1,7),(2,3),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,7,3,1,8,6,2,4]=>[1,8,2,4,3,5,7,6]=>[1,8,4,2,3,7,5,6]=>([(1,6),(1,7),(2,6),(2,7),(3,5),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[6,7,3,8,1,5,2,4]=>[1,5,2,4,3,8,6,7]=>[1,5,4,2,3,8,6,7]=>([(1,5),(2,5),(3,6),(3,7),(4,6),(4,7),(6,7)],8)
[6,7,3,8,5,2,1,4]=>[1,4,2,3,8,5,6,7]=>[1,4,2,3,8,5,6,7]=>([(1,7),(2,7),(3,7),(4,6),(5,6)],8)
[6,7,8,3,1,4,2,5]=>[1,4,2,5,3,6,7,8]=>[1,4,5,2,3,6,7,8]=>([(4,6),(4,7),(5,6),(5,7)],8)
[6,7,1,8,3,5,2,4]=>[1,8,2,4,3,5,6,7]=>[1,8,4,2,3,5,6,7]=>([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,1,7,8,4,5,2,3]=>[1,7,8,2,3,4,5,6]=>[1,8,2,3,4,5,7,6]=>([(1,7),(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[1,6,7,8,4,5,3,2]=>[1,6,7,8,2,3,4,5]=>[1,8,2,3,4,6,7,5]=>([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,6,7,8,4,3,5,2]=>[1,6,7,8,2,3,5,4]=>[1,8,2,5,3,6,7,4]=>([(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[6,1,7,8,4,2,5,3]=>[1,7,8,2,5,3,4,6]=>[1,8,5,3,2,4,7,6]=>([(1,2),(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,7,1,8,3,2,5,4]=>[1,8,2,5,3,4,6,7]=>[1,8,5,3,2,4,6,7]=>([(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,7,2,1,8,3,6,4]=>[1,8,2,3,6,4,5,7]=>[1,8,2,6,4,3,5,7]=>([(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,7,2,8,1,3,5,4]=>[1,3,5,2,8,4,6,7]=>[1,5,3,8,2,4,6,7]=>([(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7)],8)
[6,7,2,8,3,1,5,4]=>[1,5,2,8,3,4,6,7]=>[1,5,8,3,2,4,6,7]=>([(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[6,7,2,8,3,5,1,4]=>[1,4,2,8,3,5,6,7]=>[1,4,8,2,3,5,6,7]=>([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[6,2,7,8,4,5,1,3]=>[1,3,2,7,8,4,5,6]=>[1,3,2,8,4,5,7,6]=>([(1,2),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[6,2,7,8,4,1,5,3]=>[1,5,2,7,8,3,4,6]=>[1,5,8,3,2,4,7,6]=>([(1,2),(1,7),(2,7),(3,4),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[5,2,7,1,8,4,6,3]=>[1,8,2,7,3,4,6,5]=>[1,8,7,3,6,4,2,5]=>([(1,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,2,1,7,8,5,6,3]=>[1,7,8,2,3,4,5,6]=>[1,8,2,3,4,5,7,6]=>([(1,7),(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[4,1,2,7,8,6,5,3]=>[1,2,7,8,3,4,5,6]=>[1,2,8,3,4,5,7,6]=>([(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[6,2,7,8,1,5,4,3]=>[1,5,2,7,8,3,4,6]=>[1,5,8,3,2,4,7,6]=>([(1,2),(1,7),(2,7),(3,4),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[6,2,7,8,5,1,4,3]=>[1,4,2,7,8,3,5,6]=>[1,4,8,2,3,5,7,6]=>([(1,7),(2,5),(2,6),(3,4),(3,7),(4,7),(5,7),(6,7)],8)
[6,2,7,8,5,4,1,3]=>[1,3,2,7,8,4,5,6]=>[1,3,2,8,4,5,7,6]=>([(1,2),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[6,7,2,8,5,3,1,4]=>[1,4,2,8,3,5,6,7]=>[1,4,8,2,3,5,6,7]=>([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[5,7,2,1,8,6,3,4]=>[1,8,2,3,4,5,7,6]=>[1,8,2,3,4,7,5,6]=>([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,1,7,2,8,6,4,3]=>[1,7,2,8,3,4,5,6]=>[1,7,8,3,4,5,2,6]=>([(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[1,5,7,3,8,6,4,2]=>[1,5,7,2,3,8,4,6]=>[1,7,2,8,5,4,3,6]=>([(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[1,6,7,8,3,5,4,2]=>[1,6,7,8,2,3,5,4]=>[1,8,2,5,3,6,7,4]=>([(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[6,1,7,8,2,5,4,3]=>[1,7,8,2,5,3,4,6]=>[1,8,5,3,2,4,7,6]=>([(1,2),(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,7,1,8,2,5,3,4]=>[1,8,2,5,3,4,6,7]=>[1,8,5,3,2,4,6,7]=>([(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,7,8,2,4,1,3,5]=>[1,3,5,2,4,6,7,8]=>[1,5,3,2,4,6,7,8]=>([(4,7),(5,6),(5,7),(6,7)],8)
[6,7,8,2,4,3,1,5]=>[1,5,2,4,3,6,7,8]=>[1,5,4,2,3,6,7,8]=>([(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,7,1,8,5,2,3,4]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>([(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[6,1,7,8,5,2,4,3]=>[1,7,8,2,4,3,5,6]=>[1,8,4,2,3,5,7,6]=>([(1,7),(2,3),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,6,7,8,5,3,4,2]=>[1,6,7,8,2,3,4,5]=>[1,8,2,3,4,6,7,5]=>([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,1,7,8,5,4,2,3]=>[1,7,8,2,3,4,5,6]=>[1,8,2,3,4,5,7,6]=>([(1,7),(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[6,7,1,8,5,3,2,4]=>[1,8,2,4,3,5,6,7]=>[1,8,4,2,3,5,6,7]=>([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,7,8,4,1,3,2,5]=>[1,3,2,5,4,6,7,8]=>[1,3,2,5,4,6,7,8]=>([(4,7),(5,6)],8)
[6,3,8,5,2,7,4,1]=>[1,2,7,3,8,4,5,6]=>[1,2,7,8,4,5,3,6]=>([(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[6,5,2,8,4,7,3,1]=>[1,2,8,3,4,7,5,6]=>[1,2,8,3,7,5,4,6]=>([(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,3,4,5,8,7,2,1]=>[1,2,3,4,5,8,6,7]=>[1,2,3,4,5,8,6,7]=>([(5,7),(6,7)],8)
[3,8,4,7,5,2,1,6]=>[1,6,2,3,8,4,7,5]=>[1,6,2,8,7,3,4,5]=>([(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6)],8)
[5,8,1,4,7,2,3,6]=>[1,4,7,2,3,6,5,8]=>[1,7,2,4,6,3,5,8]=>([(2,7),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[5,6,1,4,8,7,3,2]=>[1,4,8,2,3,5,6,7]=>[1,8,2,4,3,5,6,7]=>([(1,7),(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[3,6,4,8,5,7,1,2]=>[1,2,3,6,4,8,5,7]=>[1,2,3,6,8,4,5,7]=>([(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[3,4,7,1,8,6,5,2]=>[1,8,2,3,4,7,5,6]=>[1,8,2,3,7,5,4,6]=>([(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,3,8,4,2,7,1,5]=>[1,5,2,7,3,8,4,6]=>[1,5,7,8,2,4,3,6]=>([(1,6),(1,7),(2,3),(2,4),(2,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[5,3,7,1,6,8,2,4]=>[1,6,8,2,4,3,7,5]=>[1,8,4,2,7,6,3,5]=>([(1,3),(1,7),(2,5),(2,6),(2,7),(3,4),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,3,8,5,6,7,2,1]=>[1,2,3,8,4,5,6,7]=>[1,2,3,8,4,5,6,7]=>([(3,7),(4,7),(5,7),(6,7)],8)
[5,8,1,7,6,2,4,3]=>[1,7,2,4,3,5,8,6]=>[1,7,4,2,3,8,5,6]=>([(1,2),(1,3),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,6,1,2,7,8,5,3]=>[1,2,7,8,3,4,6,5]=>[1,2,8,3,6,4,7,5]=>([(2,7),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[3,6,4,2,8,7,5,1]=>[1,2,8,3,6,4,5,7]=>[1,2,8,6,4,3,5,7]=>([(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,3,7,5,2,8,1,4]=>[1,4,2,8,3,7,5,6]=>[1,4,8,2,7,5,3,6]=>([(1,2),(1,7),(2,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,5,2,7,4,8,1,3]=>[1,3,2,7,4,8,5,6]=>[1,3,2,7,8,5,4,6]=>([(1,2),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[7,8,3,5,1,4,6,2]=>[1,4,6,2,3,5,7,8]=>[1,6,2,4,3,5,7,8]=>([(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[5,8,1,4,6,7,2,3]=>[1,4,6,7,2,3,5,8]=>[1,7,2,4,3,6,5,8]=>([(2,7),(3,6),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[6,5,8,4,3,7,2,1]=>[1,2,3,7,4,5,8,6]=>[1,2,3,7,4,8,5,6]=>([(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[6,3,7,4,2,8,5,1]=>[1,2,8,3,7,4,5,6]=>[1,2,8,7,4,5,3,6]=>([(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,8,6,7,1,4,5,2]=>[1,4,5,2,3,8,6,7]=>[1,5,2,4,3,8,6,7]=>([(1,7),(2,4),(3,4),(5,6),(5,7),(6,7)],8)
[5,3,8,7,4,1,2,6]=>[1,2,6,3,8,4,5,7]=>[1,2,6,8,4,3,5,7]=>([(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[4,3,8,7,1,5,6,2]=>[1,5,6,2,3,8,4,7]=>[1,6,2,8,5,3,4,7]=>([(1,7),(2,6),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[5,6,1,8,7,3,2,4]=>[1,8,2,4,3,5,6,7]=>[1,8,4,2,3,5,6,7]=>([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,4,2,7,3,6,8,1]=>[1,2,7,3,6,8,4,5]=>[1,2,7,8,4,3,6,5]=>([(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[7,5,3,6,4,2,8,1]=>[1,2,8,3,6,4,5,7]=>[1,2,8,6,4,3,5,7]=>([(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,4,1,5,3,8,2,7]=>[1,5,2,7,3,8,4,6]=>[1,5,7,8,2,4,3,6]=>([(1,6),(1,7),(2,3),(2,4),(2,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[8,5,2,6,4,7,3,1]=>[1,2,6,3,4,7,5,8]=>[1,2,6,3,7,4,5,8]=>([(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[8,2,6,3,4,7,5,1]=>[1,2,6,3,4,7,5,8]=>[1,2,6,3,7,4,5,8]=>([(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[6,2,7,4,3,5,8,1]=>[1,2,7,3,5,8,4,6]=>[1,2,7,8,3,4,5,6]=>([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[5,7,3,6,4,2,8,1]=>[1,2,8,3,6,4,5,7]=>[1,2,8,6,4,3,5,7]=>([(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,7,6,4,5,2,8,1]=>[1,2,8,3,7,4,5,6]=>[1,2,8,7,4,5,3,6]=>([(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,7,6,5,3,4,8,1]=>[1,2,7,3,4,8,5,6]=>[1,2,7,3,8,5,4,6]=>([(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[6,5,4,3,1,8,2,7]=>[1,8,2,7,3,4,5,6]=>[1,8,7,3,4,5,2,6]=>([(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,6,5,4,2,7,3,1]=>[1,2,7,3,4,5,6,8]=>[1,2,7,3,4,5,6,8]=>([(3,7),(4,7),(5,7),(6,7)],8)
[8,5,4,1,7,2,6,3]=>[1,7,2,6,3,4,5,8]=>[1,7,6,3,4,2,5,8]=>([(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,5,4,1,8,3,2,6]=>[1,8,2,6,3,4,5,7]=>[1,8,6,3,4,2,5,7]=>([(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,6,5,2,8,3,4,7]=>[1,6,2,8,3,4,7,5]=>[1,6,8,3,7,2,4,5]=>([(1,4),(1,5),(1,7),(2,4),(2,5),(2,7),(3,4),(3,6),(3,7),(4,6),(5,6),(5,7),(6,7)],8)
[5,7,4,2,1,8,3,6]=>[1,8,2,3,6,4,5,7]=>[1,8,2,6,4,3,5,7]=>([(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,4,6,3,1,8,2,7]=>[1,8,2,7,3,4,6,5]=>[1,8,7,3,6,4,2,5]=>([(1,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,5,8,4,2,7,3,1]=>[1,2,7,3,4,5,8,6]=>[1,2,7,3,4,8,5,6]=>([(2,7),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[5,8,2,6,4,7,3,1]=>[1,2,6,3,4,7,5,8]=>[1,2,6,3,7,4,5,8]=>([(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[3,8,6,2,5,7,4,1]=>[1,2,5,7,3,8,4,6]=>[1,2,7,8,5,4,3,6]=>([(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[7,8,5,3,2,6,4,1]=>[1,2,6,3,4,5,7,8]=>[1,2,6,3,4,5,7,8]=>([(4,7),(5,7),(6,7)],8)
[6,8,3,1,7,2,5,4]=>[1,7,2,5,3,4,6,8]=>[1,7,5,3,2,4,6,8]=>([(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,8,6,3,7,5,2,4]=>[1,8,2,4,3,7,5,6]=>[1,8,4,2,7,5,3,6]=>([(1,5),(1,7),(2,3),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,7,5,2,6,4,3,1]=>[1,2,6,3,4,5,7,8]=>[1,2,6,3,4,5,7,8]=>([(4,7),(5,7),(6,7)],8)
[8,7,1,6,2,5,4,3]=>[1,6,2,5,3,4,7,8]=>[1,6,5,3,2,4,7,8]=>([(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,8,1,6,3,2,5,4]=>[1,6,2,5,3,4,7,8]=>[1,6,5,3,2,4,7,8]=>([(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,8,6,1,7,4,5,2]=>[1,7,2,3,8,4,5,6]=>[1,7,2,8,4,5,3,6]=>([(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[4,2,8,5,7,3,6,1]=>[1,2,8,3,6,4,5,7]=>[1,2,8,6,4,3,5,7]=>([(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,1,7,6,8,3,2,4]=>[1,7,2,4,3,5,6,8]=>[1,7,4,2,3,5,6,8]=>([(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,7,1,5,8,4,2,6]=>[1,5,8,2,6,3,7,4]=>[1,8,6,7,5,2,3,4]=>([(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,7,3,1,8,4,2,5]=>[1,8,2,5,3,4,6,7]=>[1,8,5,3,2,4,6,7]=>([(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,7,3,8,4,5,2,6]=>[1,7,2,6,3,8,4,5]=>[1,7,6,8,4,2,3,5]=>([(1,4),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(5,6),(5,7),(6,7)],8)
[7,6,1,8,4,3,2,5]=>[1,8,2,5,3,4,6,7]=>[1,8,5,3,2,4,6,7]=>([(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,6,1,7,4,2,5,3]=>[1,7,2,5,3,4,6,8]=>[1,7,5,3,2,4,6,8]=>([(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,1,2,7,3,4,6,5]=>[1,2,7,3,4,6,5,8]=>[1,2,7,3,6,4,5,8]=>([(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,1,2,8,3,5,4,6]=>[1,2,8,3,5,4,6,7]=>[1,2,8,5,3,4,6,7]=>([(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,2,6,1,8,4,3,5]=>[1,8,2,6,3,5,4,7]=>[1,8,6,5,3,2,4,7]=>([(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,2,6,1,7,3,5,4]=>[1,7,2,6,3,5,4,8]=>[1,7,6,5,3,2,4,8]=>([(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,3,1,4,7,5,6,2]=>[1,4,7,2,3,5,6,8]=>[1,7,2,4,3,5,6,8]=>([(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[4,2,1,5,8,3,6,7]=>[1,5,8,2,3,6,7,4]=>[1,8,2,7,5,3,6,4]=>([(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,4,2,7,1,8,3,6]=>[1,8,2,7,3,6,4,5]=>[1,8,7,6,4,3,2,5]=>([(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,7,5,6,8,3,2,1]=>[1,2,3,4,7,5,6,8]=>[1,2,3,4,7,5,6,8]=>([(5,7),(6,7)],8)
[6,5,4,8,2,7,3,1]=>[1,2,7,3,4,8,5,6]=>[1,2,7,3,8,5,4,6]=>([(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[6,5,2,8,7,3,4,1]=>[1,2,8,3,4,5,6,7]=>[1,2,8,3,4,5,6,7]=>([(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[6,5,1,8,7,4,2,3]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>([(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[8,6,4,7,5,3,2,1]=>[1,2,3,4,7,5,6,8]=>[1,2,3,4,7,5,6,8]=>([(5,7),(6,7)],8)
[5,1,8,3,7,6,2,4]=>[1,8,2,4,3,7,5,6]=>[1,8,4,2,7,5,3,6]=>([(1,5),(1,7),(2,3),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,4,8,1,7,2,6,3]=>[1,7,2,6,3,4,8,5]=>[1,7,6,3,8,2,4,5]=>([(1,3),(1,6),(1,7),(2,3),(2,6),(2,7),(3,5),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,5,8,3,2,6,4,1]=>[1,2,6,3,4,5,8,7]=>[1,2,6,3,4,5,8,7]=>([(2,3),(4,7),(5,7),(6,7)],8)
[3,6,8,2,4,7,5,1]=>[1,2,4,7,3,6,8,5]=>[1,2,7,4,8,3,6,5]=>([(2,6),(2,7),(3,4),(3,5),(3,6),(4,5),(4,7),(5,7),(6,7)],8)
[5,7,3,8,2,6,4,1]=>[1,2,6,3,8,4,5,7]=>[1,2,6,8,4,3,5,7]=>([(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[5,2,6,8,7,3,4,1]=>[1,2,6,8,3,4,5,7]=>[1,2,8,3,4,6,5,7]=>([(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[4,7,2,8,6,3,5,1]=>[1,2,8,3,5,4,7,6]=>[1,2,8,5,3,7,4,6]=>([(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[3,6,8,1,7,2,5,4]=>[1,7,2,5,3,6,8,4]=>[1,7,5,8,2,3,6,4]=>([(1,4),(1,5),(1,7),(2,4),(2,5),(2,7),(3,4),(3,6),(3,7),(4,6),(5,6),(5,7),(6,7)],8)
[2,3,8,7,4,5,6,1]=>[1,2,3,8,4,5,6,7]=>[1,2,3,8,4,5,6,7]=>([(3,7),(4,7),(5,7),(6,7)],8)
[7,2,8,6,4,3,5,1]=>[1,2,8,3,5,4,6,7]=>[1,2,8,5,3,4,6,7]=>([(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,1,8,7,5,6,3,4]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>([(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[8,2,7,6,3,5,4,1]=>[1,2,7,3,5,4,6,8]=>[1,2,7,5,3,4,6,8]=>([(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,1,7,6,5,2,4,3]=>[1,7,2,4,3,5,6,8]=>[1,7,4,2,3,5,6,8]=>([(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,1,8,6,5,3,2,4]=>[1,8,2,4,3,5,6,7]=>[1,8,4,2,3,5,6,7]=>([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,2,8,7,6,3,4,5]=>[1,2,8,3,4,5,6,7]=>[1,2,8,3,4,5,6,7]=>([(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[1,5,8,3,7,6,2,4]=>[1,5,8,2,4,3,7,6]=>[1,8,4,2,5,7,3,6]=>([(1,6),(1,7),(2,5),(2,7),(3,4),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,1,6,8,7,4,2,3]=>[1,6,8,2,3,4,5,7]=>[1,8,2,3,4,6,5,7]=>([(1,7),(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[6,8,4,7,5,3,2,1]=>[1,2,3,4,7,5,6,8]=>[1,2,3,4,7,5,6,8]=>([(5,7),(6,7)],8)
[6,8,7,2,5,4,3,1]=>[1,2,5,3,4,6,8,7]=>[1,2,5,3,4,6,8,7]=>([(3,4),(5,7),(6,7)],8)
[3,8,7,6,4,5,2,1]=>[1,2,3,8,4,5,6,7]=>[1,2,3,8,4,5,6,7]=>([(3,7),(4,7),(5,7),(6,7)],8)
[2,8,7,6,5,3,4,1]=>[1,2,8,3,4,5,6,7]=>[1,2,8,3,4,5,6,7]=>([(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[1,8,7,6,5,4,2,3]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>([(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[5,8,6,7,3,4,1,2]=>[1,2,3,4,5,8,6,7]=>[1,2,3,4,5,8,6,7]=>([(5,7),(6,7)],8)
[4,8,6,7,3,5,1,2]=>[1,2,3,5,4,8,6,7]=>[1,2,3,5,4,8,6,7]=>([(3,4),(5,7),(6,7)],8)
[3,8,6,7,4,5,1,2]=>[1,2,3,8,4,5,6,7]=>[1,2,3,8,4,5,6,7]=>([(3,7),(4,7),(5,7),(6,7)],8)
[2,8,6,7,4,5,1,3]=>[1,3,2,8,4,5,6,7]=>[1,3,2,8,4,5,6,7]=>([(1,2),(3,7),(4,7),(5,7),(6,7)],8)
[1,8,6,7,4,5,2,3]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>([(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[1,8,5,7,4,6,2,3]=>[1,8,2,3,4,6,5,7]=>[1,8,2,3,6,4,5,7]=>([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,8,5,7,4,6,1,2]=>[1,2,3,8,4,6,5,7]=>[1,2,3,8,6,4,5,7]=>([(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,8,5,7,3,6,1,2]=>[1,2,3,6,4,8,5,7]=>[1,2,3,6,8,4,5,7]=>([(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[7,8,3,6,4,5,1,2]=>[1,2,3,6,4,5,7,8]=>[1,2,3,6,4,5,7,8]=>([(5,7),(6,7)],8)
[6,8,3,7,4,5,1,2]=>[1,2,3,7,4,5,6,8]=>[1,2,3,7,4,5,6,8]=>([(4,7),(5,7),(6,7)],8)
[5,8,3,7,4,6,1,2]=>[1,2,3,7,4,6,5,8]=>[1,2,3,7,6,4,5,8]=>([(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,7,4,8,5,6,1,2]=>[1,2,3,7,4,8,5,6]=>[1,2,3,7,8,5,4,6]=>([(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[4,7,3,8,5,6,1,2]=>[1,2,3,8,4,7,5,6]=>[1,2,3,8,7,5,4,6]=>([(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,7,2,8,5,6,1,3]=>[1,3,2,8,4,7,5,6]=>[1,3,2,8,7,5,4,6]=>([(1,2),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,7,1,8,5,6,2,3]=>[1,8,2,3,4,7,5,6]=>[1,8,2,3,7,5,4,6]=>([(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,7,1,8,5,6,2,4]=>[1,8,2,4,3,7,5,6]=>[1,8,4,2,7,5,3,6]=>([(1,5),(1,7),(2,3),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,7,2,8,5,6,1,4]=>[1,4,2,8,3,7,5,6]=>[1,4,8,2,7,5,3,6]=>([(1,2),(1,7),(2,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,7,3,8,5,6,1,4]=>[1,4,2,7,3,8,5,6]=>[1,4,7,2,8,5,3,6]=>([(1,2),(1,7),(2,6),(3,4),(3,6),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[2,7,4,8,5,6,1,3]=>[1,3,2,7,4,8,5,6]=>[1,3,2,7,8,5,4,6]=>([(1,2),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[5,8,2,7,4,6,1,3]=>[1,3,2,7,4,6,5,8]=>[1,3,2,7,6,4,5,8]=>([(2,3),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,8,2,7,4,5,1,3]=>[1,3,2,7,4,5,6,8]=>[1,3,2,7,4,5,6,8]=>([(2,3),(4,7),(5,7),(6,7)],8)
[7,8,2,6,4,5,1,3]=>[1,3,2,6,4,5,7,8]=>[1,3,2,6,4,5,7,8]=>([(3,4),(5,7),(6,7)],8)
[7,8,1,6,4,5,2,3]=>[1,6,2,3,4,5,7,8]=>[1,6,2,3,4,5,7,8]=>([(3,7),(4,7),(5,7),(6,7)],8)
[6,8,1,7,4,5,2,3]=>[1,7,2,3,4,5,6,8]=>[1,7,2,3,4,5,6,8]=>([(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[5,8,1,7,4,6,2,3]=>[1,7,2,3,4,6,5,8]=>[1,7,2,3,6,4,5,8]=>([(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,7,4,8,5,6,2,3]=>[1,7,2,3,4,8,5,6]=>[1,7,2,3,8,5,4,6]=>([(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[1,7,3,8,5,6,2,4]=>[1,7,2,4,3,8,5,6]=>[1,7,4,2,8,5,3,6]=>([(1,4),(1,7),(2,5),(2,7),(3,4),(3,6),(3,7),(4,6),(5,6),(5,7),(6,7)],8)
[2,8,5,6,1,7,3,4]=>[1,7,2,8,3,4,5,6]=>[1,7,8,3,4,5,2,6]=>([(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[1,8,5,6,2,7,3,4]=>[1,8,2,7,3,4,5,6]=>[1,8,7,3,4,5,2,6]=>([(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,7,3,8,4,6,2,5]=>[1,7,2,5,3,8,4,6]=>[1,7,5,8,2,4,3,6]=>([(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7)],8)
[4,8,1,7,3,6,2,5]=>[1,7,2,5,3,6,4,8]=>[1,7,5,6,2,3,4,8]=>([(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[5,8,1,7,3,6,2,4]=>[1,7,2,4,3,6,5,8]=>[1,7,4,2,6,3,5,8]=>([(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[6,8,1,7,3,5,2,4]=>[1,7,2,4,3,5,6,8]=>[1,7,4,2,3,5,6,8]=>([(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,8,2,6,3,5,1,4]=>[1,4,2,6,3,5,7,8]=>[1,4,6,2,3,5,7,8]=>([(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[6,8,2,7,3,5,1,4]=>[1,4,2,7,3,5,6,8]=>[1,4,7,2,3,5,6,8]=>([(2,7),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[5,8,2,7,3,6,1,4]=>[1,4,2,7,3,6,5,8]=>[1,4,7,2,6,3,5,8]=>([(2,3),(2,7),(3,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,8,2,7,3,6,1,5]=>[1,5,2,7,3,6,4,8]=>[1,5,7,6,2,3,4,8]=>([(2,3),(2,4),(2,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,7,3,8,4,6,1,5]=>[1,5,2,7,3,8,4,6]=>[1,5,7,8,2,4,3,6]=>([(1,6),(1,7),(2,3),(2,4),(2,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[3,7,2,8,4,6,1,5]=>[1,5,2,8,3,7,4,6]=>[1,5,8,7,2,4,3,6]=>([(1,6),(1,7),(2,3),(2,6),(2,7),(3,4),(3,5),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,7,1,8,4,6,2,5]=>[1,8,2,5,3,7,4,6]=>[1,8,5,7,2,4,3,6]=>([(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[1,8,4,7,3,6,2,5]=>[1,8,2,5,3,6,4,7]=>[1,8,5,6,2,3,4,7]=>([(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[2,8,4,7,3,6,1,5]=>[1,5,2,8,3,6,4,7]=>[1,5,8,6,2,3,4,7]=>([(1,7),(2,3),(2,4),(2,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,8,4,7,2,6,1,5]=>[1,5,2,6,3,8,4,7]=>[1,5,6,8,2,3,4,7]=>([(1,7),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8)
[4,8,5,7,2,6,1,3]=>[1,3,2,6,4,8,5,7]=>[1,3,2,6,8,4,5,7]=>([(1,2),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[3,8,5,7,2,6,1,4]=>[1,4,2,6,3,8,5,7]=>[1,4,6,2,8,3,5,7]=>([(1,7),(2,3),(2,5),(3,6),(4,5),(4,7),(5,6),(6,7)],8)
[2,8,5,7,3,6,1,4]=>[1,4,2,8,3,6,5,7]=>[1,4,8,2,6,3,5,7]=>([(1,7),(2,3),(2,7),(3,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,8,5,7,3,6,2,4]=>[1,8,2,4,3,6,5,7]=>[1,8,4,2,6,3,5,7]=>([(1,7),(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[1,8,6,7,3,5,2,4]=>[1,8,2,4,3,5,6,7]=>[1,8,4,2,3,5,6,7]=>([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,8,6,7,3,5,1,4]=>[1,4,2,8,3,5,6,7]=>[1,4,8,2,3,5,6,7]=>([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[3,8,6,7,2,5,1,4]=>[1,4,2,5,3,8,6,7]=>[1,4,5,2,3,8,6,7]=>([(1,7),(2,7),(3,5),(3,6),(4,5),(4,6)],8)
[4,8,6,7,2,5,1,3]=>[1,3,2,5,4,8,6,7]=>[1,3,2,5,4,8,6,7]=>([(1,4),(2,3),(5,7),(6,7)],8)
[5,8,6,7,2,4,1,3]=>[1,3,2,4,5,8,6,7]=>[1,3,2,4,5,8,6,7]=>([(3,4),(5,7),(6,7)],8)
[6,8,5,7,1,4,2,3]=>[1,4,2,3,5,7,6,8]=>[1,4,2,3,5,7,6,8]=>([(3,4),(5,7),(6,7)],8)
[5,8,6,7,1,4,2,3]=>[1,4,2,3,5,8,6,7]=>[1,4,2,3,5,8,6,7]=>([(2,7),(3,7),(4,6),(5,6)],8)
[4,8,6,7,1,5,2,3]=>[1,5,2,3,4,8,6,7]=>[1,5,2,3,4,8,6,7]=>([(1,7),(2,7),(3,7),(4,6),(5,6)],8)
[3,8,6,7,1,5,2,4]=>[1,5,2,4,3,8,6,7]=>[1,5,4,2,3,8,6,7]=>([(1,5),(2,5),(3,6),(3,7),(4,6),(4,7),(6,7)],8)
[1,5,2,8,6,7,3,4]=>[1,5,2,8,3,4,6,7]=>[1,5,8,3,2,4,6,7]=>([(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[2,5,1,8,6,7,3,4]=>[1,8,2,5,3,4,6,7]=>[1,8,5,3,2,4,6,7]=>([(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,6,1,8,5,7,3,4]=>[1,8,2,6,3,4,5,7]=>[1,8,6,3,4,2,5,7]=>([(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,6,2,8,5,7,3,4]=>[1,6,2,8,3,4,5,7]=>[1,6,8,3,4,2,5,7]=>([(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[3,8,5,7,1,6,2,4]=>[1,6,2,4,3,8,5,7]=>[1,6,4,2,8,3,5,7]=>([(1,6),(2,5),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7)],8)
[6,8,4,7,1,5,2,3]=>[1,5,2,3,4,7,6,8]=>[1,5,2,3,4,7,6,8]=>([(2,3),(4,7),(5,7),(6,7)],8)
[7,8,4,6,1,5,2,3]=>[1,5,2,3,4,6,7,8]=>[1,5,2,3,4,6,7,8]=>([(4,7),(5,7),(6,7)],8)
[7,8,3,6,1,5,2,4]=>[1,5,2,4,3,6,7,8]=>[1,5,4,2,3,6,7,8]=>([(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,8,3,7,1,5,2,4]=>[1,5,2,4,3,7,6,8]=>[1,5,4,2,3,7,6,8]=>([(2,3),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,8,3,7,1,6,2,5]=>[1,6,2,5,3,7,4,8]=>[1,6,5,7,2,3,4,8]=>([(2,3),(2,4),(2,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,8,4,7,1,6,2,5]=>[1,6,2,5,3,8,4,7]=>[1,6,5,8,2,3,4,7]=>([(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6)],8)
[1,6,2,8,4,7,3,5]=>[1,6,2,8,3,5,4,7]=>[1,6,8,5,3,2,4,7]=>([(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[2,6,1,8,4,7,3,5]=>[1,8,2,6,3,5,4,7]=>[1,8,6,5,3,2,4,7]=>([(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,7,2,6,1,8,4,5]=>[1,8,2,6,3,7,4,5]=>[1,8,6,7,4,2,3,5]=>([(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[3,7,1,6,2,8,4,5]=>[1,6,2,8,3,7,4,5]=>[1,6,8,7,4,2,3,5]=>([(1,4),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(5,6),(5,7),(6,7)],8)
[4,8,1,6,2,7,3,5]=>[1,6,2,7,3,5,4,8]=>[1,6,7,5,3,2,4,8]=>([(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[5,8,1,6,2,7,3,4]=>[1,6,2,7,3,4,5,8]=>[1,6,7,3,4,2,5,8]=>([(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[7,8,1,5,2,6,3,4]=>[1,5,2,6,3,4,7,8]=>[1,5,6,3,2,4,7,8]=>([(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[7,8,2,5,1,6,3,4]=>[1,6,2,5,3,4,7,8]=>[1,6,5,3,2,4,7,8]=>([(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,8,2,5,1,7,3,4]=>[1,7,2,5,3,4,6,8]=>[1,7,5,3,2,4,6,8]=>([(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,8,2,6,1,7,3,4]=>[1,7,2,6,3,4,5,8]=>[1,7,6,3,4,2,5,8]=>([(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,8,2,6,1,7,3,5]=>[1,7,2,6,3,5,4,8]=>[1,7,6,5,3,2,4,8]=>([(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,7,3,6,2,8,4,5]=>[1,7,2,8,3,6,4,5]=>[1,7,8,6,4,3,2,5]=>([(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[2,7,3,6,1,8,4,5]=>[1,8,2,7,3,6,4,5]=>[1,8,7,6,4,3,2,5]=>([(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,2,3,4,5,6,7,8,9]=>[1,2,3,4,5,6,7,8,9]=>[1,2,3,4,5,6,7,8,9]=>([],9)
[1,2,3,4,5,6,8,9,7]=>[1,2,3,4,5,6,8,9,7]=>[1,2,3,4,5,6,9,8,7]=>([(6,7),(6,8),(7,8)],9)
[1,2,3,4,5,7,8,9,6]=>[1,2,3,4,5,7,8,9,6]=>[1,2,3,4,5,9,7,8,6]=>([(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[1,2,3,4,6,7,8,9,5]=>[1,2,3,4,6,7,8,9,5]=>[1,2,3,4,9,6,7,8,5]=>([(4,7),(4,8),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[1,2,3,5,6,7,8,9,4]=>[1,2,3,5,6,7,8,9,4]=>[1,2,3,9,5,6,7,8,4]=>([(3,7),(3,8),(4,7),(4,8),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[1,2,4,5,6,7,8,9,3]=>[1,2,4,5,6,7,8,9,3]=>[1,2,9,4,5,6,7,8,3]=>([(2,7),(2,8),(3,7),(3,8),(4,7),(4,8),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[1,3,4,5,6,7,8,9,2]=>[1,3,4,5,6,7,8,9,2]=>[1,9,3,4,5,6,7,8,2]=>([(1,7),(1,8),(2,7),(2,8),(3,7),(3,8),(4,7),(4,8),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[1,2,3,4,5,6,7,8,9,10]=>[1,2,3,4,5,6,7,8,9,10]=>[1,2,3,4,5,6,7,8,9,10]=>([],10)
[1,2,3,4,5,6,9,8,7]=>[1,2,3,4,5,6,9,7,8]=>[1,2,3,4,5,6,9,7,8]=>([(6,8),(7,8)],9)
[1,2,3,4,5,6,7,9,10,8]=>[1,2,3,4,5,6,7,9,10,8]=>[1,2,3,4,5,6,7,10,9,8]=>([(7,8),(7,9),(8,9)],10)
[1,2,3,4,5,6,8,9,10,7]=>[1,2,3,4,5,6,8,9,10,7]=>[1,2,3,4,5,6,10,8,9,7]=>([(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[1,2,3,4,5,7,8,9,10,6]=>[1,2,3,4,5,7,8,9,10,6]=>[1,2,3,4,5,10,7,8,9,6]=>([(5,8),(5,9),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[1,2,3,4,6,7,8,9,10,5]=>[1,2,3,4,6,7,8,9,10,5]=>[1,2,3,4,10,6,7,8,9,5]=>([(4,8),(4,9),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[1,2,3,5,6,7,8,9,10,4]=>[1,2,3,5,6,7,8,9,10,4]=>[1,2,3,10,5,6,7,8,9,4]=>([(3,8),(3,9),(4,8),(4,9),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[1,4,3,5,6,7,8,9,2]=>[1,4,2,3,5,6,7,8,9]=>[1,4,2,3,5,6,7,8,9]=>([(6,8),(7,8)],9)
[1,2,4,5,6,7,8,9,10,3]=>[1,2,4,5,6,7,8,9,10,3]=>[1,2,10,4,5,6,7,8,9,3]=>([(2,8),(2,9),(3,8),(3,9),(4,8),(4,9),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[3,2,4,5,6,7,8,9,1]=>[1,2,4,5,6,7,8,9,3]=>[1,2,9,4,5,6,7,8,3]=>([(2,7),(2,8),(3,7),(3,8),(4,7),(4,8),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[1,3,4,5,6,7,8,9,10,2]=>[1,3,4,5,6,7,8,9,10,2]=>[1,10,3,4,5,6,7,8,9,2]=>([(1,8),(1,9),(2,8),(2,9),(3,8),(3,9),(4,8),(4,9),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[6,7,4,8,3,5,1,2]=>[1,2,3,5,4,8,6,7]=>[1,2,3,5,4,8,6,7]=>([(3,4),(5,7),(6,7)],8)
[6,7,4,5,2,8,1,3]=>[1,3,2,8,4,5,6,7]=>[1,3,2,8,4,5,6,7]=>([(1,2),(3,7),(4,7),(5,7),(6,7)],8)
[5,7,4,6,2,3,1,8]=>[1,8,2,3,4,6,5,7]=>[1,8,2,3,6,4,5,7]=>([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,7,4,6,3,8,1,2]=>[1,2,3,8,4,6,5,7]=>[1,2,3,8,6,4,5,7]=>([(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,7,4,8,3,6,1,2]=>[1,2,3,6,4,8,5,7]=>[1,2,3,6,8,4,5,7]=>([(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[6,8,4,5,3,7,1,2]=>[1,2,3,7,4,5,6,8]=>[1,2,3,7,4,5,6,8]=>([(4,7),(5,7),(6,7)],8)
[5,8,4,6,3,7,1,2]=>[1,2,3,7,4,6,5,8]=>[1,2,3,7,6,4,5,8]=>([(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,6,4,8,3,7,1,2]=>[1,2,3,7,4,8,5,6]=>[1,2,3,7,8,5,4,6]=>([(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[5,6,3,7,2,4,1,8]=>[1,8,2,4,3,7,5,6]=>[1,8,4,2,7,5,3,6]=>([(1,5),(1,7),(2,3),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,6,3,7,2,8,1,4]=>[1,4,2,8,3,7,5,6]=>[1,4,8,2,7,5,3,6]=>([(1,2),(1,7),(2,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,6,3,8,2,7,1,4]=>[1,4,2,7,3,8,5,6]=>[1,4,7,2,8,5,3,6]=>([(1,2),(1,7),(2,6),(3,4),(3,6),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[5,6,4,8,2,7,1,3]=>[1,3,2,7,4,8,5,6]=>[1,3,2,7,8,5,4,6]=>([(1,2),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[5,8,4,6,2,7,1,3]=>[1,3,2,7,4,6,5,8]=>[1,3,2,7,6,4,5,8]=>([(2,3),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,8,4,5,2,7,1,3]=>[1,3,2,7,4,5,6,8]=>[1,3,2,7,4,5,6,8]=>([(2,3),(4,7),(5,7),(6,7)],8)
[7,8,4,5,2,6,1,3]=>[1,3,2,6,4,5,7,8]=>[1,3,2,6,4,5,7,8]=>([(3,4),(5,7),(6,7)],8)
[6,8,4,5,2,3,1,7]=>[1,7,2,3,4,5,6,8]=>[1,7,2,3,4,5,6,8]=>([(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[5,8,4,6,2,3,1,7]=>[1,7,2,3,4,6,5,8]=>[1,7,2,3,6,4,5,8]=>([(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,6,4,8,2,3,1,7]=>[1,7,2,3,4,8,5,6]=>[1,7,2,3,8,5,4,6]=>([(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[5,6,3,8,2,4,1,7]=>[1,7,2,4,3,8,5,6]=>[1,7,4,2,8,5,3,6]=>([(1,4),(1,7),(2,5),(2,7),(3,4),(3,6),(3,7),(4,6),(5,6),(5,7),(6,7)],8)
[5,6,3,4,2,8,1,7]=>[1,7,2,8,3,4,5,6]=>[1,7,8,3,4,5,2,6]=>([(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[4,6,3,5,2,7,1,8]=>[1,8,2,7,3,5,4,6]=>[1,8,7,5,3,4,2,6]=>([(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,6,3,5,2,8,1,7]=>[1,7,2,8,3,5,4,6]=>[1,7,8,5,3,4,2,6]=>([(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[4,6,3,8,2,5,1,7]=>[1,7,2,5,3,8,4,6]=>[1,7,5,8,2,4,3,6]=>([(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7)],8)
[4,8,3,6,2,5,1,7]=>[1,7,2,5,3,6,4,8]=>[1,7,5,6,2,3,4,8]=>([(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[5,8,3,6,2,4,1,7]=>[1,7,2,4,3,6,5,8]=>[1,7,4,2,6,3,5,8]=>([(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[6,8,3,5,2,4,1,7]=>[1,7,2,4,3,5,6,8]=>[1,7,4,2,3,5,6,8]=>([(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,8,3,5,2,4,1,6]=>[1,6,2,4,3,5,7,8]=>[1,6,4,2,3,5,7,8]=>([(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,8,3,5,2,6,1,4]=>[1,4,2,6,3,5,7,8]=>[1,4,6,2,3,5,7,8]=>([(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[5,8,3,6,2,7,1,4]=>[1,4,2,7,3,6,5,8]=>[1,4,7,2,6,3,5,8]=>([(2,3),(2,7),(3,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,8,3,6,2,7,1,5]=>[1,5,2,7,3,6,4,8]=>[1,5,7,6,2,3,4,8]=>([(2,3),(2,4),(2,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,6,3,8,2,7,1,5]=>[1,5,2,7,3,8,4,6]=>[1,5,7,8,2,4,3,6]=>([(1,6),(1,7),(2,3),(2,4),(2,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[4,6,3,7,2,8,1,5]=>[1,5,2,8,3,7,4,6]=>[1,5,8,7,2,4,3,6]=>([(1,6),(1,7),(2,3),(2,6),(2,7),(3,4),(3,5),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,7,3,6,2,5,1,8]=>[1,8,2,5,3,6,4,7]=>[1,8,5,6,2,3,4,7]=>([(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[4,7,3,6,2,8,1,5]=>[1,5,2,8,3,6,4,7]=>[1,5,8,6,2,3,4,7]=>([(1,7),(2,3),(2,4),(2,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,7,3,8,2,6,1,5]=>[1,5,2,6,3,8,4,7]=>[1,5,6,8,2,3,4,7]=>([(1,7),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8)
[5,7,4,8,2,6,1,3]=>[1,3,2,6,4,8,5,7]=>[1,3,2,6,8,4,5,7]=>([(1,2),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[5,7,3,6,2,8,1,4]=>[1,4,2,8,3,6,5,7]=>[1,4,8,2,6,3,5,7]=>([(1,7),(2,3),(2,7),(3,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,7,3,6,2,4,1,8]=>[1,8,2,4,3,6,5,7]=>[1,8,4,2,6,3,5,7]=>([(1,7),(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[6,7,3,5,2,4,1,8]=>[1,8,2,4,3,5,6,7]=>[1,8,4,2,3,5,6,7]=>([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,7,3,5,2,8,1,4]=>[1,4,2,8,3,5,6,7]=>[1,4,8,2,3,5,6,7]=>([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[6,7,4,8,2,5,1,3]=>[1,3,2,5,4,8,6,7]=>[1,3,2,5,4,8,6,7]=>([(1,4),(2,3),(5,7),(6,7)],8)
[6,7,5,8,2,4,1,3]=>[1,3,2,4,5,8,6,7]=>[1,3,2,4,5,8,6,7]=>([(3,4),(5,7),(6,7)],8)
[6,8,5,7,2,3,1,4]=>[1,4,2,3,5,7,6,8]=>[1,4,2,3,5,7,6,8]=>([(3,4),(5,7),(6,7)],8)
[6,7,4,8,2,3,1,5]=>[1,5,2,3,4,8,6,7]=>[1,5,2,3,4,8,6,7]=>([(1,7),(2,7),(3,7),(4,6),(5,6)],8)
[6,7,3,8,2,4,1,5]=>[1,5,2,4,3,8,6,7]=>[1,5,4,2,3,8,6,7]=>([(1,5),(2,5),(3,6),(3,7),(4,6),(4,7),(6,7)],8)
[6,7,3,4,2,8,1,5]=>[1,5,2,8,3,4,6,7]=>[1,5,8,3,2,4,6,7]=>([(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[5,7,3,4,2,6,1,8]=>[1,8,2,6,3,4,5,7]=>[1,8,6,3,4,2,5,7]=>([(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,7,3,4,2,8,1,6]=>[1,6,2,8,3,4,5,7]=>[1,6,8,3,4,2,5,7]=>([(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[5,7,4,8,2,3,1,6]=>[1,6,2,3,4,8,5,7]=>[1,6,2,3,8,4,5,7]=>([(1,7),(2,7),(3,6),(4,6),(4,7),(5,6),(5,7)],8)
[5,8,4,7,2,3,1,6]=>[1,6,2,3,4,7,5,8]=>[1,6,2,3,7,4,5,8]=>([(2,7),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[6,8,4,7,2,3,1,5]=>[1,5,2,3,4,7,6,8]=>[1,5,2,3,4,7,6,8]=>([(2,3),(4,7),(5,7),(6,7)],8)
[7,8,4,6,2,3,1,5]=>[1,5,2,3,4,6,7,8]=>[1,5,2,3,4,6,7,8]=>([(4,7),(5,7),(6,7)],8)
[7,8,3,6,2,4,1,5]=>[1,5,2,4,3,6,7,8]=>[1,5,4,2,3,6,7,8]=>([(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,8,3,7,2,4,1,5]=>[1,5,2,4,3,7,6,8]=>[1,5,4,2,3,7,6,8]=>([(2,3),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,8,3,7,2,4,1,6]=>[1,6,2,4,3,7,5,8]=>[1,6,4,2,7,3,5,8]=>([(2,3),(2,7),(3,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,8,3,7,2,5,1,6]=>[1,6,2,5,3,7,4,8]=>[1,6,5,7,2,3,4,8]=>([(2,3),(2,4),(2,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,7,3,8,2,5,1,6]=>[1,6,2,5,3,8,4,7]=>[1,6,5,8,2,3,4,7]=>([(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6)],8)
[4,7,3,5,2,8,1,6]=>[1,6,2,8,3,5,4,7]=>[1,6,8,5,3,2,4,7]=>([(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[4,7,3,5,2,6,1,8]=>[1,8,2,6,3,5,4,7]=>[1,8,6,5,3,2,4,7]=>([(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,5,3,7,2,6,1,8]=>[1,8,2,6,3,7,4,5]=>[1,8,6,7,4,2,3,5]=>([(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[4,5,3,7,2,8,1,6]=>[1,6,2,8,3,7,4,5]=>[1,6,8,7,4,2,3,5]=>([(1,4),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(5,6),(5,7),(6,7)],8)
[4,5,3,8,2,7,1,6]=>[1,6,2,7,3,8,4,5]=>[1,6,7,8,4,2,3,5]=>([(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,7),(5,7),(6,7)],8)
[4,8,3,5,2,7,1,6]=>[1,6,2,7,3,5,4,8]=>[1,6,7,5,3,2,4,8]=>([(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[5,8,3,4,2,7,1,6]=>[1,6,2,7,3,4,5,8]=>[1,6,7,3,4,2,5,8]=>([(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[6,8,3,4,2,7,1,5]=>[1,5,2,7,3,4,6,8]=>[1,5,7,3,2,4,6,8]=>([(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[7,8,3,4,2,6,1,5]=>[1,5,2,6,3,4,7,8]=>[1,5,6,3,2,4,7,8]=>([(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[6,8,3,4,2,5,1,7]=>[1,7,2,5,3,4,6,8]=>[1,7,5,3,2,4,6,8]=>([(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,8,3,4,2,6,1,7]=>[1,7,2,6,3,4,5,8]=>[1,7,6,3,4,2,5,8]=>([(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,8,3,5,2,6,1,7]=>[1,7,2,6,3,5,4,8]=>[1,7,6,5,3,2,4,8]=>([(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,5,3,8,2,6,1,7]=>[1,7,2,6,3,8,4,5]=>[1,7,6,8,4,2,3,5]=>([(1,4),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(5,6),(5,7),(6,7)],8)
[4,5,3,6,2,8,1,7]=>[1,7,2,8,3,6,4,5]=>[1,7,8,6,4,3,2,5]=>([(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[4,7,5,2,1,8,3,6]=>[1,8,2,3,6,4,7,5]=>[1,8,2,6,7,3,4,5]=>([(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[4,8,5,2,1,7,6,3]=>[1,7,2,3,4,8,5,6]=>[1,7,2,3,8,5,4,6]=>([(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[4,6,5,2,1,3,8,7]=>[1,3,8,2,4,6,5,7]=>[1,8,3,2,6,4,5,7]=>([(1,7),(2,3),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,6,4,2,3,1,8,7]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>([(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[6,4,5,3,1,2,8,7]=>[1,2,8,3,4,5,6,7]=>[1,2,8,3,4,5,6,7]=>([(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[5,4,6,1,3,2,8,7]=>[1,3,2,8,4,6,5,7]=>[1,3,2,8,6,4,5,7]=>([(1,2),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,6,8,1,7,3,2,5]=>[1,7,2,5,3,4,6,8]=>[1,7,5,3,2,4,6,8]=>([(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,7,8,1,6,3,5,2]=>[1,6,2,3,5,4,7,8]=>[1,6,2,5,3,4,7,8]=>([(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,4,8,1,6,5,3,2]=>[1,6,2,3,4,8,5,7]=>[1,6,2,3,8,4,5,7]=>([(1,7),(2,7),(3,6),(4,6),(4,7),(5,6),(5,7)],8)
[5,4,8,1,3,7,6,2]=>[1,3,7,2,4,8,5,6]=>[1,7,3,2,8,5,4,6]=>([(1,2),(1,7),(2,7),(3,4),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[8,4,5,3,1,7,6,2]=>[1,7,2,3,4,5,6,8]=>[1,7,2,3,4,5,6,8]=>([(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[5,4,7,1,3,8,2,6]=>[1,3,8,2,6,4,7,5]=>[1,8,3,6,7,2,4,5]=>([(1,6),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,4,8,1,7,5,2,3]=>[1,7,2,3,4,8,5,6]=>[1,7,2,3,8,5,4,6]=>([(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[5,6,8,7,2,1,3,4]=>[1,3,4,2,5,6,8,7]=>[1,4,3,2,5,6,8,7]=>([(3,4),(5,6),(5,7),(6,7)],8)
[8,5,7,6,4,2,1,3]=>[1,3,2,4,5,7,6,8]=>[1,3,2,4,5,7,6,8]=>([(4,7),(5,6)],8)
[8,4,6,3,7,2,1,5]=>[1,5,2,3,7,4,6,8]=>[1,5,2,7,3,4,6,8]=>([(2,7),(3,6),(4,6),(4,7),(5,6),(5,7)],8)
[6,3,2,8,7,4,1,5]=>[1,5,2,8,3,4,6,7]=>[1,5,8,3,2,4,6,7]=>([(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[2,1,6,8,7,4,3,5]=>[1,6,8,2,3,5,4,7]=>[1,8,2,5,3,6,4,7]=>([(1,7),(2,7),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[2,1,7,8,6,4,5,3]=>[1,7,8,2,3,4,5,6]=>[1,8,2,3,4,5,7,6]=>([(1,7),(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[7,3,2,8,6,4,5,1]=>[1,2,8,3,4,5,6,7]=>[1,2,8,3,4,5,6,7]=>([(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[7,6,8,5,2,4,3,1]=>[1,2,4,3,5,6,8,7]=>[1,2,4,3,5,6,8,7]=>([(4,7),(5,6)],8)
[5,7,8,6,2,3,1,4]=>[1,4,2,3,5,7,8,6]=>[1,4,2,3,5,8,7,6]=>([(2,7),(3,7),(4,5),(4,6),(5,6)],8)
[5,8,7,6,3,2,1,4]=>[1,4,2,3,5,8,6,7]=>[1,4,2,3,5,8,6,7]=>([(2,7),(3,7),(4,6),(5,6)],8)
[6,8,7,5,3,2,4,1]=>[1,2,4,3,5,6,8,7]=>[1,2,4,3,5,6,8,7]=>([(4,7),(5,6)],8)
[5,8,4,2,3,7,6,1]=>[1,2,3,7,4,5,8,6]=>[1,2,3,7,4,8,5,6]=>([(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[7,8,4,2,6,5,3,1]=>[1,2,6,3,4,5,7,8]=>[1,2,6,3,4,5,7,8]=>([(4,7),(5,7),(6,7)],8)
[4,8,6,2,7,3,1,5]=>[1,5,2,7,3,4,8,6]=>[1,5,7,3,2,8,4,6]=>([(1,2),(1,6),(2,7),(3,4),(3,5),(3,6),(4,5),(4,7),(5,7),(6,7)],8)
[3,6,1,8,7,4,2,5]=>[1,8,2,5,3,6,4,7]=>[1,8,5,6,2,3,4,7]=>([(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[3,7,1,8,6,4,5,2]=>[1,8,2,3,7,4,5,6]=>[1,8,2,7,4,5,3,6]=>([(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,8,1,6,7,5,2,4]=>[1,6,7,2,4,3,8,5]=>[1,7,4,2,8,6,3,5]=>([(1,4),(1,7),(2,3),(2,5),(2,7),(3,5),(3,6),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,7,1,6,8,2,5,4]=>[1,6,8,2,5,3,7,4]=>[1,8,5,7,2,6,3,4]=>([(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[4,7,6,2,8,1,3,5]=>[1,3,5,2,8,4,7,6]=>[1,5,3,8,2,7,4,6]=>([(1,4),(1,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(5,7),(6,7)],8)
[6,7,4,2,8,1,5,3]=>[1,5,2,8,3,4,6,7]=>[1,5,8,3,2,4,6,7]=>([(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[6,8,4,2,7,5,1,3]=>[1,3,2,7,4,5,6,8]=>[1,3,2,7,4,5,6,8]=>([(2,3),(4,7),(5,7),(6,7)],8)
[2,1,8,6,7,5,3,4]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>([(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[8,3,2,6,7,5,1,4]=>[1,4,2,6,7,3,5,8]=>[1,4,7,2,3,6,5,8]=>([(2,5),(2,6),(3,4),(3,7),(4,7),(5,7),(6,7)],8)
[8,6,4,3,7,5,1,2]=>[1,2,3,7,4,5,6,8]=>[1,2,3,7,4,5,6,8]=>([(4,7),(5,7),(6,7)],8)
[5,8,6,7,3,1,2,4]=>[1,2,4,3,5,8,6,7]=>[1,2,4,3,5,8,6,7]=>([(3,4),(5,7),(6,7)],8)
[6,7,5,8,1,3,4,2]=>[1,3,4,2,5,8,6,7]=>[1,4,3,2,5,8,6,7]=>([(2,7),(3,7),(4,5),(4,6),(5,6)],8)
[7,6,5,8,1,4,3,2]=>[1,4,2,3,5,8,6,7]=>[1,4,2,3,5,8,6,7]=>([(2,7),(3,7),(4,6),(5,6)],8)
[8,6,5,7,4,1,3,2]=>[1,3,2,4,5,7,6,8]=>[1,3,2,4,5,7,6,8]=>([(4,7),(5,6)],8)
[7,6,4,3,8,1,5,2]=>[1,5,2,3,8,4,6,7]=>[1,5,2,8,3,4,6,7]=>([(1,7),(2,7),(3,6),(4,6),(4,7),(5,6),(5,7)],8)
[2,1,7,6,8,3,5,4]=>[1,7,2,3,5,4,6,8]=>[1,7,2,5,3,4,6,8]=>([(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,5,6,8,1,4,2,3]=>[1,4,2,3,5,6,8,7]=>[1,4,2,3,5,6,8,7]=>([(3,4),(5,7),(6,7)],8)
[6,5,7,8,1,2,4,3]=>[1,2,4,3,5,7,8,6]=>[1,2,4,3,5,8,7,6]=>([(3,4),(5,6),(5,7),(6,7)],8)
[5,2,8,7,4,6,1,3]=>[1,3,2,8,4,6,5,7]=>[1,3,2,8,6,4,5,7]=>([(1,2),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,6,2,5,4,7,3,8]=>[1,6,2,5,3,8,4,7]=>[1,6,5,8,2,3,4,7]=>([(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6)],8)
[6,2,7,5,4,8,3,1]=>[1,2,7,3,4,8,5,6]=>[1,2,7,3,8,5,4,6]=>([(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[8,1,3,5,4,7,6,2]=>[1,3,5,2,4,7,6,8]=>[1,5,3,2,4,7,6,8]=>([(2,3),(4,7),(5,6),(5,7),(6,7)],8)
[6,1,5,4,3,8,7,2]=>[1,5,2,3,8,4,6,7]=>[1,5,2,8,3,4,6,7]=>([(1,7),(2,7),(3,6),(4,6),(4,7),(5,6),(5,7)],8)
[6,1,8,3,4,5,7,2]=>[1,8,2,3,4,5,7,6]=>[1,8,2,3,4,7,5,6]=>([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,1,5,3,4,8,6,2]=>[1,5,2,3,4,8,6,7]=>[1,5,2,3,4,8,6,7]=>([(1,7),(2,7),(3,7),(4,6),(5,6)],8)
[7,1,4,3,5,6,8,2]=>[1,4,2,3,5,6,8,7]=>[1,4,2,3,5,6,8,7]=>([(3,4),(5,7),(6,7)],8)
[8,1,3,4,5,6,7,2]=>[1,3,4,5,6,7,2,8]=>[1,7,3,4,5,6,2,8]=>([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,7,2,4,5,6,3,8]=>[1,7,2,4,5,6,3,8]=>[1,7,6,2,4,5,3,8]=>([(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,3,2,7,5,1,8,4]=>[1,8,2,7,3,4,5,6]=>[1,8,7,3,4,5,2,6]=>([(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,4,7,2,5,6,1,3]=>[1,3,2,5,6,4,7,8]=>[1,3,2,6,5,4,7,8]=>([(3,4),(5,6),(5,7),(6,7)],8)
[8,5,2,1,4,3,7,6]=>[1,4,2,3,7,5,6,8]=>[1,4,2,3,7,5,6,8]=>([(2,7),(3,7),(4,6),(5,6)],8)
[6,5,2,8,4,1,3,7]=>[1,3,7,2,8,4,5,6]=>[1,7,3,8,4,5,2,6]=>([(1,6),(1,7),(2,5),(2,6),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[3,6,1,8,5,2,4,7]=>[1,8,2,4,7,3,6,5]=>[1,8,7,2,6,3,4,5]=>([(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,2,6,3,5,4,7,8]=>[1,2,6,3,5,4,7,8]=>[1,2,6,5,3,4,7,8]=>([(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,3,1,2,6,8,5,7]=>[1,2,6,8,3,4,5,7]=>[1,2,8,3,4,6,5,7]=>([(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[5,8,1,6,3,2,4,7]=>[1,6,2,4,7,3,5,8]=>[1,6,7,2,3,4,5,8]=>([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[8,3,1,5,2,4,7,6]=>[1,5,2,4,7,3,6,8]=>[1,5,7,2,4,3,6,8]=>([(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[3,8,6,7,2,1,5,4]=>[1,5,2,3,8,4,6,7]=>[1,5,2,8,3,4,6,7]=>([(1,7),(2,7),(3,6),(4,6),(4,7),(5,6),(5,7)],8)
[8,5,6,4,2,1,7,3]=>[1,7,2,3,4,5,6,8]=>[1,7,2,3,4,5,6,8]=>([(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[7,2,5,8,3,1,6,4]=>[1,6,2,5,8,3,4,7]=>[1,6,8,3,2,5,4,7]=>([(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[6,1,2,3,8,5,7,4]=>[1,2,3,8,4,5,7,6]=>[1,2,3,8,4,7,5,6]=>([(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,1,2,3,6,5,8,4]=>[1,2,3,6,4,5,8,7]=>[1,2,3,6,4,5,8,7]=>([(3,4),(5,7),(6,7)],8)
[7,2,1,3,8,6,4,5]=>[1,3,8,2,4,5,6,7]=>[1,8,3,2,4,5,6,7]=>([(1,7),(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[5,2,7,3,1,8,4,6]=>[1,8,2,7,3,4,6,5]=>[1,8,7,3,6,4,2,5]=>([(1,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,8,2,4,1,3,7,6]=>[1,3,7,2,4,5,8,6]=>[1,7,3,2,4,8,5,6]=>([(1,7),(2,5),(2,6),(3,4),(3,7),(4,7),(5,7),(6,7)],8)
[8,7,2,6,3,4,1,5]=>[1,5,2,6,3,4,7,8]=>[1,5,6,3,2,4,7,8]=>([(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[3,1,8,6,4,2,7,5]=>[1,8,2,7,3,4,5,6]=>[1,8,7,3,4,5,2,6]=>([(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,1,6,7,4,3,2,5]=>[1,6,7,2,5,3,4,8]=>[1,7,5,3,2,6,4,8]=>([(2,5),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,5,8,7,2,4,1,6]=>[1,6,2,4,3,5,8,7]=>[1,6,4,2,3,5,8,7]=>([(1,2),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,2,1,3,7,8,5,6]=>[1,3,7,8,2,4,5,6]=>[1,8,3,2,4,5,7,6]=>([(1,7),(2,7),(3,6),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[2,4,1,3,8,7,5,6]=>[1,3,8,2,4,5,6,7]=>[1,8,3,2,4,5,6,7]=>([(1,7),(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[8,6,1,3,7,2,4,5]=>[1,3,7,2,4,5,6,8]=>[1,7,3,2,4,5,6,8]=>([(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[2,8,1,3,6,4,7,5]=>[1,3,6,2,8,4,7,5]=>[1,6,3,8,7,2,4,5]=>([(1,6),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(5,6),(6,7)],8)
[6,8,2,3,4,1,5,7]=>[1,5,7,2,3,4,6,8]=>[1,7,2,3,5,4,6,8]=>([(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[5,1,8,3,2,4,6,7]=>[1,8,2,4,6,7,3,5]=>[1,8,7,2,3,4,6,5]=>([(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9]=>[1,2,3,4,5,6,7,8,9]=>([],9)
[8,9,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9]=>[1,2,3,4,5,6,7,8,9]=>([],9)
[8,7,9,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,9,8]=>[1,2,3,4,5,6,7,9,8]=>([(7,8)],9)
[8,7,6,9,5,4,3,2,1]=>[1,2,3,4,5,6,9,7,8]=>[1,2,3,4,5,6,9,7,8]=>([(6,8),(7,8)],9)
[8,7,6,5,9,4,3,2,1]=>[1,2,3,4,5,9,6,7,8]=>[1,2,3,4,5,9,6,7,8]=>([(5,8),(6,8),(7,8)],9)
[8,7,6,5,4,9,3,2,1]=>[1,2,3,4,9,5,6,7,8]=>[1,2,3,4,9,5,6,7,8]=>([(4,8),(5,8),(6,8),(7,8)],9)
[8,7,6,5,4,3,9,2,1]=>[1,2,3,9,4,5,6,7,8]=>[1,2,3,9,4,5,6,7,8]=>([(3,8),(4,8),(5,8),(6,8),(7,8)],9)
[8,7,6,5,4,3,2,9,1]=>[1,2,9,3,4,5,6,7,8]=>[1,2,9,3,4,5,6,7,8]=>([(2,8),(3,8),(4,8),(5,8),(6,8),(7,8)],9)
[8,7,6,5,4,3,2,1,9]=>[1,9,2,3,4,5,6,7,8]=>[1,9,2,3,4,5,6,7,8]=>([(1,8),(2,8),(3,8),(4,8),(5,8),(6,8),(7,8)],9)
[9,10,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[1,2,3,4,5,6,7,8,9,10]=>([],10)
[7,8,9,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9]=>[1,2,3,4,5,6,7,8,9]=>([],9)
[9,8,10,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,10,9]=>[1,2,3,4,5,6,7,8,10,9]=>([(8,9)],10)
[8,6,7,9,5,4,3,2,1]=>[1,2,3,4,5,6,7,9,8]=>[1,2,3,4,5,6,7,9,8]=>([(7,8)],9)
[9,8,7,10,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,10,8,9]=>[1,2,3,4,5,6,7,10,8,9]=>([(7,9),(8,9)],10)
[8,7,5,6,9,4,3,2,1]=>[1,2,3,4,5,6,9,7,8]=>[1,2,3,4,5,6,9,7,8]=>([(6,8),(7,8)],9)
[9,8,7,6,10,5,4,3,2,1]=>[1,2,3,4,5,6,10,7,8,9]=>[1,2,3,4,5,6,10,7,8,9]=>([(6,9),(7,9),(8,9)],10)
[8,7,6,4,5,9,3,2,1]=>[1,2,3,4,5,9,6,7,8]=>[1,2,3,4,5,9,6,7,8]=>([(5,8),(6,8),(7,8)],9)
[9,8,7,6,5,10,4,3,2,1]=>[1,2,3,4,5,10,6,7,8,9]=>[1,2,3,4,5,10,6,7,8,9]=>([(5,9),(6,9),(7,9),(8,9)],10)
[8,7,6,5,3,4,9,2,1]=>[1,2,3,4,9,5,6,7,8]=>[1,2,3,4,9,5,6,7,8]=>([(4,8),(5,8),(6,8),(7,8)],9)
[9,8,7,6,5,4,10,3,2,1]=>[1,2,3,4,10,5,6,7,8,9]=>[1,2,3,4,10,5,6,7,8,9]=>([(4,9),(5,9),(6,9),(7,9),(8,9)],10)
[8,7,6,5,4,2,3,9,1]=>[1,2,3,9,4,5,6,7,8]=>[1,2,3,9,4,5,6,7,8]=>([(3,8),(4,8),(5,8),(6,8),(7,8)],9)
[9,8,7,6,5,4,3,10,2,1]=>[1,2,3,10,4,5,6,7,8,9]=>[1,2,3,10,4,5,6,7,8,9]=>([(3,9),(4,9),(5,9),(6,9),(7,9),(8,9)],10)
[8,7,6,5,4,3,1,2,9]=>[1,2,9,3,4,5,6,7,8]=>[1,2,9,3,4,5,6,7,8]=>([(2,8),(3,8),(4,8),(5,8),(6,8),(7,8)],9)
[9,8,7,6,5,4,3,2,10,1]=>[1,2,10,3,4,5,6,7,8,9]=>[1,2,10,3,4,5,6,7,8,9]=>([(2,9),(3,9),(4,9),(5,9),(6,9),(7,9),(8,9)],10)
[9,8,7,6,5,4,3,2,1,10]=>[1,10,2,3,4,5,6,7,8,9]=>[1,10,2,3,4,5,6,7,8,9]=>([(1,9),(2,9),(3,9),(4,9),(5,9),(6,9),(7,9),(8,9)],10)
[1,4,2,7,8,6,3,5]=>[1,4,2,7,8,3,5,6]=>[1,4,8,2,3,5,7,6]=>([(1,7),(2,5),(2,6),(3,4),(3,7),(4,7),(5,7),(6,7)],8)
[1,6,2,4,7,5,3,8]=>[1,6,2,4,7,3,8,5]=>[1,6,7,2,8,4,3,5]=>([(1,6),(1,7),(2,3),(2,4),(2,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[1,7,3,2,8,6,4,5]=>[1,7,2,8,3,4,5,6]=>[1,7,8,3,4,5,2,6]=>([(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[4,2,5,7,8,6,1,3]=>[1,3,2,5,7,8,4,6]=>[1,3,2,8,5,4,7,6]=>([(1,2),(3,6),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[7,2,3,1,8,5,6,4]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>([(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[8,2,5,1,7,3,4,6]=>[1,7,2,5,3,4,6,8]=>[1,7,5,3,2,4,6,8]=>([(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,2,1,8,3,4,7,5]=>[1,8,2,3,4,7,5,6]=>[1,8,2,3,7,5,4,6]=>([(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,2,8,3,5,1,7,4]=>[1,7,2,8,3,5,4,6]=>[1,7,8,5,3,4,2,6]=>([(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[1,3,6,4,8,5,7,2]=>[1,3,6,2,4,8,5,7]=>[1,6,3,2,8,4,5,7]=>([(1,6),(2,3),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[1,3,6,4,7,5,8,2]=>[1,3,6,2,4,7,5,8]=>[1,6,3,2,7,4,5,8]=>([(2,5),(2,6),(3,4),(3,7),(4,7),(5,7),(6,7)],8)
[6,2,4,7,5,8,1,3]=>[1,3,2,4,7,5,8,6]=>[1,3,2,4,7,8,5,6]=>([(2,3),(4,6),(4,7),(5,6),(5,7)],8)
[6,2,1,3,7,8,4,5]=>[1,3,7,8,2,4,5,6]=>[1,8,3,2,4,5,7,6]=>([(1,7),(2,7),(3,6),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[7,8,2,1,4,3,5,6]=>[1,4,2,3,5,6,7,8]=>[1,4,2,3,5,6,7,8]=>([(5,7),(6,7)],8)
[7,6,4,2,3,1,8,5]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>([(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[5,7,2,3,1,6,8,4]=>[1,6,8,2,3,4,5,7]=>[1,8,2,3,4,6,5,7]=>([(1,7),(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[7,5,4,2,6,8,1,3]=>[1,3,2,6,8,4,5,7]=>[1,3,2,8,4,6,5,7]=>([(1,2),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[8,2,5,4,6,7,1,3]=>[1,3,2,5,4,6,7,8]=>[1,3,2,5,4,6,7,8]=>([(4,7),(5,6)],8)
[5,2,6,3,1,8,7,4]=>[1,8,2,6,3,4,5,7]=>[1,8,6,3,4,2,5,7]=>([(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,2,6,4,3,1,7,5]=>[1,7,2,6,3,4,5,8]=>[1,7,6,3,4,2,5,8]=>([(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,2,7,4,1,3,5,6]=>[1,3,5,6,2,7,4,8]=>[1,6,3,7,5,2,4,8]=>([(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[6,8,4,1,3,2,5,7]=>[1,3,2,5,7,4,6,8]=>[1,3,2,7,5,4,6,8]=>([(2,3),(4,7),(5,6),(5,7),(6,7)],8)
[1,6,3,8,2,4,7,5]=>[1,6,2,4,7,3,8,5]=>[1,6,7,2,8,4,3,5]=>([(1,6),(1,7),(2,3),(2,4),(2,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[5,3,8,1,2,7,4,6]=>[1,2,7,3,8,4,6,5]=>[1,2,7,8,6,4,3,5]=>([(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[5,1,8,3,2,6,4,7]=>[1,8,2,6,3,4,7,5]=>[1,8,6,3,7,2,4,5]=>([(1,4),(1,6),(1,7),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[5,7,3,1,2,6,4,8]=>[1,2,6,3,4,8,5,7]=>[1,2,6,3,8,4,5,7]=>([(2,7),(3,6),(4,6),(4,7),(5,6),(5,7)],8)
[1,7,5,4,2,6,3,8]=>[1,7,2,6,3,8,4,5]=>[1,7,6,8,4,2,3,5]=>([(1,4),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(5,6),(5,7),(6,7)],8)
[1,5,8,4,2,7,3,6]=>[1,5,8,2,7,3,6,4]=>[1,8,7,6,5,3,2,4]=>([(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,3,1,6,7,2,4,8]=>[1,6,7,2,4,8,3,5]=>[1,7,8,2,3,6,4,5]=>([(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[1,6,3,2,7,8,4,5]=>[1,6,2,7,8,3,4,5]=>[1,6,8,3,4,2,7,5]=>([(1,4),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(6,7)],8)
[1,7,4,5,3,8,6,2]=>[1,7,2,3,8,4,5,6]=>[1,7,2,8,4,5,3,6]=>([(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[6,3,4,1,2,5,8,7]=>[1,2,5,8,3,4,6,7]=>[1,2,8,3,5,4,6,7]=>([(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[6,3,1,4,2,7,5,8]=>[1,4,2,7,3,5,8,6]=>[1,4,7,2,3,8,5,6]=>([(1,5),(1,6),(2,3),(2,4),(3,7),(4,7),(5,7),(6,7)],8)
[1,8,3,2,4,5,6,7]=>[1,8,2,4,5,6,7,3]=>[1,8,7,2,4,5,6,3]=>([(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,6,3,2,4,1,7,5]=>[1,7,2,4,3,5,6,8]=>[1,7,4,2,3,5,6,8]=>([(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,5,3,2,6,7,1,4]=>[1,4,2,6,7,3,5,8]=>[1,4,7,2,3,6,5,8]=>([(2,5),(2,6),(3,4),(3,7),(4,7),(5,7),(6,7)],8)
[5,2,3,6,7,1,8,4]=>[1,8,2,3,6,7,4,5]=>[1,8,2,7,4,3,6,5]=>([(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,2,3,4,1,7,8,5]=>[1,7,8,2,3,4,5,6]=>[1,8,2,3,4,5,7,6]=>([(1,7),(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[8,6,1,4,3,2,5,7]=>[1,4,2,5,7,3,6,8]=>[1,4,7,2,5,3,6,8]=>([(2,7),(3,4),(3,7),(4,6),(5,6),(5,7),(6,7)],8)
[8,3,1,6,5,2,4,7]=>[1,6,2,4,7,3,5,8]=>[1,6,7,2,3,4,5,8]=>([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[4,1,5,2,8,7,3,6]=>[1,5,2,8,3,6,4,7]=>[1,5,8,6,2,3,4,7]=>([(1,7),(2,3),(2,4),(2,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,1,2,4,6,5,3,7]=>[1,2,4,6,3,7,5,8]=>[1,2,6,4,7,3,5,8]=>([(3,6),(3,7),(4,5),(4,7),(5,6),(6,7)],8)
[8,1,2,5,4,6,3,7]=>[1,2,5,3,7,4,6,8]=>[1,2,5,7,3,4,6,8]=>([(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[8,3,1,6,2,5,4,7]=>[1,6,2,5,3,4,7,8]=>[1,6,5,3,2,4,7,8]=>([(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,1,2,6,4,5,3,7]=>[1,2,6,3,7,4,5,8]=>[1,2,6,7,4,3,5,8]=>([(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[8,1,2,6,5,4,3,7]=>[1,2,6,3,7,4,5,8]=>[1,2,6,7,4,3,5,8]=>([(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[1,7,5,4,2,8,3,6]=>[1,7,2,8,3,6,4,5]=>[1,7,8,6,4,3,2,5]=>([(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[5,1,4,8,2,7,3,6]=>[1,4,8,2,7,3,6,5]=>[1,8,7,4,6,3,2,5]=>([(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,4,7,6,2,8,3,5]=>[1,4,7,2,8,3,5,6]=>[1,7,8,4,3,5,2,6]=>([(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[5,1,4,7,2,8,3,6]=>[1,4,7,2,8,3,6,5]=>[1,7,8,4,6,3,2,5]=>([(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[1,7,4,5,2,8,3,6]=>[1,7,2,8,3,6,4,5]=>[1,7,8,6,4,3,2,5]=>([(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[3,7,5,1,2,8,4,6]=>[1,2,8,3,7,4,6,5]=>[1,2,8,7,6,4,3,5]=>([(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,1,5,8,2,7,3,6]=>[1,5,8,2,7,3,6,4]=>[1,8,7,6,5,3,2,4]=>([(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,4,6,2,8,7,3,5]=>[1,4,6,2,8,3,5,7]=>[1,6,8,4,3,2,5,7]=>([(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[1,4,2,8,6,7,3,5]=>[1,4,2,8,3,5,6,7]=>[1,4,8,2,3,5,6,7]=>([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[3,1,2,6,4,8,7,5]=>[1,2,6,3,4,8,5,7]=>[1,2,6,3,8,4,5,7]=>([(2,7),(3,6),(4,6),(4,7),(5,6),(5,7)],8)
[2,1,7,6,3,4,8,5]=>[1,7,2,3,4,8,5,6]=>[1,7,2,3,8,5,4,6]=>([(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[1,2,3,6,8,5,7,4]=>[1,2,3,6,8,4,5,7]=>[1,2,3,8,4,6,5,7]=>([(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[5,1,4,2,7,8,3,6]=>[1,4,2,7,8,3,6,5]=>[1,4,8,2,6,3,7,5]=>([(1,2),(1,7),(2,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,4,2,7,6,8,3,5]=>[1,4,2,7,3,5,6,8]=>[1,4,7,2,3,5,6,8]=>([(2,7),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[1,4,2,6,8,7,3,5]=>[1,4,2,6,8,3,5,7]=>[1,4,8,2,3,6,5,7]=>([(1,7),(2,5),(2,6),(3,4),(3,7),(4,7),(5,7),(6,7)],8)
[3,1,2,8,4,6,7,5]=>[1,2,8,3,4,6,7,5]=>[1,2,8,3,7,4,6,5]=>([(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,1,2,7,6,4,8,5]=>[1,2,7,3,4,8,5,6]=>[1,2,7,3,8,5,4,6]=>([(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[1,4,2,7,8,3,6,5]=>[1,4,2,7,8,3,6,5]=>[1,4,8,2,6,3,7,5]=>([(1,2),(1,7),(2,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,2,8,1,3,4,7,6]=>[1,3,4,7,2,8,5,6]=>[1,7,3,4,8,5,2,6]=>([(1,6),(1,7),(2,6),(2,7),(3,4),(3,6),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[2,1,8,6,3,4,7,5]=>[1,8,2,3,4,7,5,6]=>[1,8,2,3,7,5,4,6]=>([(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,4,2,6,8,3,7,5]=>[1,4,2,6,8,3,7,5]=>[1,4,8,2,7,6,3,5]=>([(1,2),(1,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,2,3,7,8,5,6,4]=>[1,2,3,7,8,4,5,6]=>[1,2,3,8,4,5,7,6]=>([(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[1,2,3,7,5,8,6,4]=>[1,2,3,7,4,5,8,6]=>[1,2,3,7,4,8,5,6]=>([(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[1,4,2,7,3,8,6,5]=>[1,4,2,7,3,8,5,6]=>[1,4,7,2,8,5,3,6]=>([(1,2),(1,7),(2,6),(3,4),(3,6),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[3,1,7,2,8,6,4,5]=>[1,7,2,8,3,4,5,6]=>[1,7,8,3,4,5,2,6]=>([(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[2,1,7,8,3,4,6,5]=>[1,7,8,2,3,4,6,5]=>[1,8,2,3,6,4,7,5]=>([(1,7),(2,7),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[1,2,3,8,7,5,6,4]=>[1,2,3,8,4,5,6,7]=>[1,2,3,8,4,5,6,7]=>([(3,7),(4,7),(5,7),(6,7)],8)
[10,1,2,3,4,5,6,7,8,9]=>[1,2,3,4,5,6,7,8,9,10]=>[1,2,3,4,5,6,7,8,9,10]=>([],10)
[9,1,2,3,4,10,5,6,7,8]=>[1,2,3,4,10,5,6,7,8,9]=>[1,2,3,4,10,5,6,7,8,9]=>([(4,9),(5,9),(6,9),(7,9),(8,9)],10)
[9,1,10,2,3,4,5,6,7,8]=>[1,10,2,3,4,5,6,7,8,9]=>[1,10,2,3,4,5,6,7,8,9]=>([(1,9),(2,9),(3,9),(4,9),(5,9),(6,9),(7,9),(8,9)],10)
[10,9,1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8,9,10]=>[1,2,3,4,5,6,7,8,9,10]=>([],10)
[11,1,2,3,4,5,6,7,8,9,10]=>[1,2,3,4,5,6,7,8,9,10,11]=>[1,2,3,4,5,6,7,8,9,10,11]=>([],11)
[10,1,2,3,4,5,6,7,8,11,9]=>[1,2,3,4,5,6,7,8,11,9,10]=>[1,2,3,4,5,6,7,8,11,9,10]=>([(8,10),(9,10)],11)
[11,10,1,2,3,4,5,6,7,8,9]=>[1,2,3,4,5,6,7,8,9,10,11]=>[1,2,3,4,5,6,7,8,9,10,11]=>([],11)
[4,7,8,5,6,2,1,3]=>[1,3,2,4,7,8,5,6]=>[1,3,2,4,8,5,7,6]=>([(2,3),(4,7),(5,6),(5,7),(6,7)],8)
[5,7,8,4,2,6,1,3]=>[1,3,2,6,4,5,7,8]=>[1,3,2,6,4,5,7,8]=>([(3,4),(5,7),(6,7)],8)
[6,7,8,4,2,5,1,3]=>[1,3,2,5,4,6,7,8]=>[1,3,2,5,4,6,7,8]=>([(4,7),(5,6)],8)
[8,6,3,7,2,1,5,4]=>[1,5,2,3,7,4,6,8]=>[1,5,2,7,3,4,6,8]=>([(2,7),(3,6),(4,6),(4,7),(5,6),(5,7)],8)
[7,6,3,8,2,1,5,4]=>[1,5,2,3,8,4,6,7]=>[1,5,2,8,3,4,6,7]=>([(1,7),(2,7),(3,6),(4,6),(4,7),(5,6),(5,7)],8)
[6,7,8,3,2,1,5,4]=>[1,5,2,3,4,6,7,8]=>[1,5,2,3,4,6,7,8]=>([(4,7),(5,7),(6,7)],8)
[5,7,8,3,2,1,6,4]=>[1,6,2,3,4,5,7,8]=>[1,6,2,3,4,5,7,8]=>([(3,7),(4,7),(5,7),(6,7)],8)
[2,7,8,4,3,5,6,1]=>[1,2,7,8,3,5,6,4]=>[1,2,8,6,3,5,7,4]=>([(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,7,8,3,2,1,4,6]=>[1,4,6,2,3,5,7,8]=>[1,6,2,4,3,5,7,8]=>([(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[7,6,3,8,2,1,4,5]=>[1,4,5,2,3,8,6,7]=>[1,5,2,4,3,8,6,7]=>([(1,7),(2,4),(3,4),(5,6),(5,7),(6,7)],8)
[8,6,3,7,2,1,4,5]=>[1,4,5,2,3,7,6,8]=>[1,5,2,4,3,7,6,8]=>([(2,3),(4,7),(5,6),(5,7),(6,7)],8)
[3,6,4,8,2,5,1,7]=>[1,7,2,5,3,6,4,8]=>[1,7,5,6,2,3,4,8]=>([(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[3,6,4,7,2,5,1,8]=>[1,8,2,5,3,6,4,7]=>[1,8,5,6,2,3,4,7]=>([(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[8,4,3,2,1,6,5,7]=>[1,6,2,3,4,5,7,8]=>[1,6,2,3,4,5,7,8]=>([(3,7),(4,7),(5,7),(6,7)],8)
[6,4,3,2,1,7,5,8]=>[1,7,2,3,4,5,8,6]=>[1,7,2,3,4,8,5,6]=>([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[3,5,4,2,8,6,1,7]=>[1,7,2,8,3,5,4,6]=>[1,7,8,5,3,4,2,6]=>([(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[6,4,3,2,1,8,5,7]=>[1,8,2,3,4,5,7,6]=>[1,8,2,3,4,7,5,6]=>([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,4,3,2,1,8,5,6]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>([(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[8,4,3,2,1,7,5,6]=>[1,7,2,3,4,5,6,8]=>[1,7,2,3,4,5,6,8]=>([(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[8,4,3,2,1,7,6,5]=>[1,7,2,3,4,5,6,8]=>[1,7,2,3,4,5,6,8]=>([(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[7,4,3,2,1,8,6,5]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>([(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[6,4,3,2,1,8,7,5]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>([(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[5,6,3,8,2,1,7,4]=>[1,7,2,3,8,4,5,6]=>[1,7,2,8,4,5,3,6]=>([(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[7,5,3,2,8,1,6,4]=>[1,6,2,8,3,4,5,7]=>[1,6,8,3,4,2,5,7]=>([(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[8,5,4,2,7,6,1,3]=>[1,3,2,7,4,5,6,8]=>[1,3,2,7,4,5,6,8]=>([(2,3),(4,7),(5,7),(6,7)],8)
[7,5,4,2,8,6,1,3]=>[1,3,2,8,4,5,6,7]=>[1,3,2,8,4,5,6,7]=>([(1,2),(3,7),(4,7),(5,7),(6,7)],8)
[6,5,4,2,8,7,1,3]=>[1,3,2,8,4,5,6,7]=>[1,3,2,8,4,5,6,7]=>([(1,2),(3,7),(4,7),(5,7),(6,7)],8)
[4,6,5,8,7,2,1,3]=>[1,3,2,4,6,5,8,7]=>[1,3,2,4,6,5,8,7]=>([(2,7),(3,6),(4,5)],8)
[2,6,5,7,8,3,4,1]=>[1,2,6,3,4,5,7,8]=>[1,2,6,3,4,5,7,8]=>([(4,7),(5,7),(6,7)],8)
[6,5,4,2,7,8,1,3]=>[1,3,2,7,8,4,5,6]=>[1,3,2,8,4,5,7,6]=>([(1,2),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[8,5,4,2,6,7,1,3]=>[1,3,2,6,7,4,5,8]=>[1,3,2,7,4,6,5,8]=>([(2,3),(4,7),(5,6),(5,7),(6,7)],8)
[8,5,3,2,6,1,7,4]=>[1,7,2,6,3,4,5,8]=>[1,7,6,3,4,2,5,8]=>([(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,5,3,2,6,1,8,4]=>[1,8,2,6,3,4,5,7]=>[1,8,6,3,4,2,5,7]=>([(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,6,3,7,2,1,8,4]=>[1,8,2,3,7,4,5,6]=>[1,8,2,7,4,5,3,6]=>([(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,6,3,7,2,1,8,5]=>[1,8,2,3,7,4,6,5]=>[1,8,2,7,6,4,3,5]=>([(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,6,4,7,2,8,1,5]=>[1,5,2,8,3,6,4,7]=>[1,5,8,6,2,3,4,7]=>([(1,7),(2,3),(2,4),(2,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,6,4,7,3,8,5,1]=>[1,2,6,3,8,4,7,5]=>[1,2,6,8,7,3,4,5]=>([(2,3),(2,4),(2,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,5,4,2,7,8,1,6]=>[1,6,2,7,8,3,5,4]=>[1,6,8,5,3,2,7,4]=>([(1,5),(1,7),(2,3),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[4,5,3,2,7,1,8,6]=>[1,8,2,7,3,4,5,6]=>[1,8,7,3,4,5,2,6]=>([(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,4,3,2,1,6,8,5]=>[1,6,8,2,3,4,5,7]=>[1,8,2,3,4,6,5,7]=>([(1,7),(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[8,4,3,2,1,6,7,5]=>[1,6,7,2,3,4,5,8]=>[1,7,2,3,4,6,5,8]=>([(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[8,4,3,2,1,5,7,6]=>[1,5,7,2,3,4,6,8]=>[1,7,2,3,5,4,6,8]=>([(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[7,4,3,2,1,5,8,6]=>[1,5,8,2,3,4,6,7]=>[1,8,2,3,5,4,6,7]=>([(1,7),(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[6,4,3,2,1,5,8,7]=>[1,5,8,2,3,4,6,7]=>[1,8,2,3,5,4,6,7]=>([(1,7),(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[5,6,3,4,1,2,8,7]=>[1,2,8,3,4,5,6,7]=>[1,2,8,3,4,5,6,7]=>([(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[8,5,3,7,2,6,4,1]=>[1,2,6,3,7,4,5,8]=>[1,2,6,7,4,3,5,8]=>([(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[8,5,7,4,2,6,3,1]=>[1,2,6,3,4,5,7,8]=>[1,2,6,3,4,5,7,8]=>([(4,7),(5,7),(6,7)],8)
[2,1,7,8,5,6,3,4]=>[1,7,8,2,3,4,5,6]=>[1,8,2,3,4,5,7,6]=>([(1,7),(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[6,8,3,7,5,1,4,2]=>[1,4,2,3,7,5,6,8]=>[1,4,2,3,7,5,6,8]=>([(2,7),(3,7),(4,6),(5,6)],8)
[5,7,3,8,1,6,2,4]=>[1,6,2,4,3,8,5,7]=>[1,6,4,2,8,3,5,7]=>([(1,6),(2,5),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7)],8)
[3,2,6,4,8,5,1,7]=>[1,7,2,6,3,4,8,5]=>[1,7,6,3,8,2,4,5]=>([(1,3),(1,6),(1,7),(2,3),(2,6),(2,7),(3,5),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,5,2,4,1,7,6,8]=>[1,7,2,4,3,5,6,8]=>[1,7,4,2,3,5,6,8]=>([(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,2,1,5,7,3,6,8]=>[1,5,7,2,3,6,8,4]=>[1,7,2,8,5,3,6,4]=>([(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[4,5,2,3,7,1,6,8]=>[1,6,8,2,3,7,4,5]=>[1,8,2,7,4,6,3,5]=>([(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,1,5,4,2,8,6,7]=>[1,5,2,8,3,4,6,7]=>[1,5,8,3,2,4,6,7]=>([(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[4,1,5,3,8,2,6,7]=>[1,5,2,6,7,3,8,4]=>[1,5,7,8,2,6,3,4]=>([(1,2),(1,6),(1,7),(2,4),(2,5),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[4,1,5,8,3,2,6,7]=>[1,5,8,2,6,7,3,4]=>[1,8,7,3,5,2,6,4]=>([(1,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,7,3,5,2,1,6,8]=>[1,6,8,2,3,5,4,7]=>[1,8,2,5,3,6,4,7]=>([(1,7),(2,7),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[4,3,6,2,5,1,7,8]=>[1,7,8,2,5,3,6,4]=>[1,8,5,6,2,3,7,4]=>([(1,6),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,6,3,2,5,1,7,8]=>[1,7,8,2,5,3,4,6]=>[1,8,5,3,2,4,7,6]=>([(1,2),(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,6,7,1,3,2,5,8]=>[1,3,2,5,8,4,6,7]=>[1,3,2,8,5,4,6,7]=>([(1,2),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[3,5,1,4,2,7,6,8]=>[1,4,2,7,3,5,6,8]=>[1,4,7,2,3,5,6,8]=>([(2,7),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[5,2,1,4,3,7,8,6]=>[1,4,2,3,7,8,5,6]=>[1,4,2,3,8,5,7,6]=>([(1,7),(2,4),(3,4),(5,6),(5,7),(6,7)],8)
[5,3,1,4,2,7,6,8]=>[1,4,2,7,3,5,6,8]=>[1,4,7,2,3,5,6,8]=>([(2,7),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[4,6,3,1,5,2,7,8]=>[1,5,2,7,8,3,4,6]=>[1,5,8,3,2,4,7,6]=>([(1,2),(1,7),(2,7),(3,4),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[5,3,6,4,1,2,7,8]=>[1,2,7,8,3,6,4,5]=>[1,2,8,6,4,3,7,5]=>([(2,5),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,3,4,1,2,7,5,8]=>[1,2,7,3,4,5,8,6]=>[1,2,7,3,4,8,5,6]=>([(2,7),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[6,2,4,1,3,7,8,5]=>[1,3,7,8,2,4,5,6]=>[1,8,3,2,4,5,7,6]=>([(1,7),(2,7),(3,6),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[3,6,4,1,2,7,5,8]=>[1,2,7,3,6,4,5,8]=>[1,2,7,6,4,3,5,8]=>([(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,3,6,2,1,4,7,8]=>[1,4,7,8,2,3,6,5]=>[1,8,2,4,6,3,7,5]=>([(1,7),(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[4,6,7,2,3,1,5,8]=>[1,5,8,2,3,4,6,7]=>[1,8,2,3,5,4,6,7]=>([(1,7),(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[4,6,2,1,7,3,5,8]=>[1,7,2,3,5,8,4,6]=>[1,7,2,8,3,4,5,6]=>([(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[3,6,2,1,4,7,5,8]=>[1,4,7,2,3,6,5,8]=>[1,7,2,4,6,3,5,8]=>([(2,7),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[3,5,2,7,4,6,1,8]=>[1,8,2,7,3,5,4,6]=>[1,8,7,5,3,4,2,6]=>([(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,2,1,4,6,3,8,5]=>[1,4,6,2,3,8,5,7]=>[1,6,2,4,8,3,5,7]=>([(1,7),(2,5),(3,5),(3,7),(4,6),(4,7),(5,6),(6,7)],8)
[6,3,2,1,5,7,4,8]=>[1,5,7,2,3,4,8,6]=>[1,7,2,3,5,8,4,6]=>([(1,7),(2,7),(3,4),(3,7),(4,6),(5,6),(5,7),(6,7)],8)
[6,4,2,1,5,3,7,8]=>[1,5,2,3,7,8,4,6]=>[1,5,2,8,3,4,7,6]=>([(1,6),(2,3),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[4,2,6,1,5,3,7,8]=>[1,5,2,6,3,7,8,4]=>[1,5,6,8,2,3,7,4]=>([(1,6),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(4,6),(5,6),(6,7)],8)
[7,4,1,5,6,2,3,8]=>[1,5,6,2,3,8,4,7]=>[1,6,2,8,5,3,4,7]=>([(1,7),(2,6),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[7,2,1,5,3,6,8,4]=>[1,5,2,3,6,8,4,7]=>[1,5,2,8,3,6,4,7]=>([(1,7),(2,5),(3,5),(3,7),(4,6),(4,7),(5,6),(6,7)],8)
[6,3,5,1,2,7,4,8]=>[1,2,7,3,5,4,8,6]=>[1,2,7,5,3,8,4,6]=>([(2,3),(2,7),(3,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,4,5,1,7,2,3,8]=>[1,7,2,3,8,4,5,6]=>[1,7,2,8,4,5,3,6]=>([(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[5,2,6,4,1,3,7,8]=>[1,3,7,8,2,6,4,5]=>[1,8,3,6,4,2,7,5]=>([(1,5),(1,7),(2,3),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,6,5,1,2,7,4,8]=>[1,2,7,3,6,4,8,5]=>[1,2,7,6,8,3,4,5]=>([(2,3),(2,4),(2,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,5,3,1,4,7,2,8]=>[1,4,7,2,8,3,5,6]=>[1,7,8,4,3,5,2,6]=>([(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[2,3,1,8,5,4,7,6]=>[1,8,2,3,4,7,5,6]=>[1,8,2,3,7,5,4,6]=>([(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,4,1,5,8,3,7,6]=>[1,5,8,2,4,3,7,6]=>[1,8,4,2,5,7,3,6]=>([(1,6),(1,7),(2,5),(2,7),(3,4),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,4,1,5,3,8,7,6]=>[1,5,2,4,3,8,6,7]=>[1,5,4,2,3,8,6,7]=>([(1,5),(2,5),(3,6),(3,7),(4,6),(4,7),(6,7)],8)
[3,4,5,1,2,8,7,6]=>[1,2,8,3,4,5,6,7]=>[1,2,8,3,4,5,6,7]=>([(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[3,4,5,1,8,2,7,6]=>[1,8,2,7,3,4,5,6]=>[1,8,7,3,4,5,2,6]=>([(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,8,4,5,3,2,7,6]=>[1,8,2,7,3,4,5,6]=>[1,8,7,3,4,5,2,6]=>([(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,4,5,8,2,1,7,6]=>[1,7,2,3,4,5,8,6]=>[1,7,2,3,4,8,5,6]=>([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[3,4,5,2,8,1,7,6]=>[1,7,2,8,3,4,5,6]=>[1,7,8,3,4,5,2,6]=>([(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[3,4,6,2,1,7,8,5]=>[1,7,8,2,3,4,6,5]=>[1,8,2,3,6,4,7,5]=>([(1,7),(2,7),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[3,4,6,2,1,7,5,8]=>[1,7,2,3,4,6,5,8]=>[1,7,2,3,6,4,5,8]=>([(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,5,6,2,7,1,4,8]=>[1,4,8,2,7,3,5,6]=>[1,8,7,4,3,5,2,6]=>([(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,5,6,2,7,1,8,4]=>[1,8,2,7,3,5,6,4]=>[1,8,7,6,3,5,2,4]=>([(1,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,5,6,2,7,8,1,4]=>[1,4,2,7,8,3,5,6]=>[1,4,8,2,3,5,7,6]=>([(1,7),(2,5),(2,6),(3,4),(3,7),(4,7),(5,7),(6,7)],8)
[3,4,6,2,8,7,1,5]=>[1,5,2,8,3,4,6,7]=>[1,5,8,3,2,4,6,7]=>([(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[3,4,6,8,2,7,1,5]=>[1,5,2,7,3,4,6,8]=>[1,5,7,3,2,4,6,8]=>([(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[2,4,8,6,3,7,1,5]=>[1,5,2,4,8,3,7,6]=>[1,5,8,2,4,7,3,6]=>([(1,4),(1,7),(2,5),(2,7),(3,4),(3,6),(3,7),(4,6),(5,6),(5,7),(6,7)],8)
[1,8,4,6,3,7,2,5]=>[1,8,2,5,3,7,4,6]=>[1,8,5,7,2,4,3,6]=>([(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[1,8,4,6,3,7,5,2]=>[1,8,2,3,7,4,6,5]=>[1,8,2,7,6,4,3,5]=>([(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,4,6,2,8,7,5,1]=>[1,2,8,3,4,6,5,7]=>[1,2,8,3,6,4,5,7]=>([(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,5,6,2,7,8,4,1]=>[1,2,7,8,3,5,6,4]=>[1,2,8,6,3,5,7,4]=>([(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,5,6,2,7,4,1,8]=>[1,8,2,7,3,5,6,4]=>[1,8,7,6,3,5,2,4]=>([(1,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,5,6,7,2,8,3,1]=>[1,2,8,3,4,5,6,7]=>[1,2,8,3,4,5,6,7]=>([(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[3,5,6,8,7,2,4,1]=>[1,2,4,3,5,6,8,7]=>[1,2,4,3,5,6,8,7]=>([(4,7),(5,6)],8)
[2,5,8,6,7,3,4,1]=>[1,2,5,8,3,4,6,7]=>[1,2,8,3,5,4,6,7]=>([(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[1,8,5,6,7,3,4,2]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>([(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[1,8,5,6,7,3,2,4]=>[1,8,2,4,3,5,6,7]=>[1,8,4,2,3,5,6,7]=>([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,5,6,8,7,2,1,4]=>[1,4,2,3,5,6,8,7]=>[1,4,2,3,5,6,8,7]=>([(3,4),(5,7),(6,7)],8)
[4,5,6,7,2,1,8,3]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>([(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[3,4,6,1,8,7,2,5]=>[1,8,2,5,3,4,6,7]=>[1,8,5,3,2,4,6,7]=>([(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,4,1,6,8,7,3,5]=>[1,6,8,2,4,3,5,7]=>[1,8,4,2,3,6,5,7]=>([(1,7),(2,3),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,3,1,8,6,7,4,5]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>([(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[2,5,1,6,7,8,4,3]=>[1,6,7,8,2,5,3,4]=>[1,8,5,3,2,6,7,4]=>([(1,5),(1,7),(2,5),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,5,1,6,7,4,8,3]=>[1,6,7,2,5,3,4,8]=>[1,7,5,3,2,6,4,8]=>([(2,5),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,5,6,1,7,4,8,2]=>[1,7,2,3,5,6,4,8]=>[1,7,2,6,3,5,4,8]=>([(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,4,6,1,8,7,5,2]=>[1,8,2,3,4,6,5,7]=>[1,8,2,3,6,4,5,7]=>([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,8,4,6,2,7,5,3]=>[1,8,2,7,3,4,6,5]=>[1,8,7,3,6,4,2,5]=>([(1,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[1,8,5,6,7,2,4,3]=>[1,8,2,4,3,5,6,7]=>[1,8,4,2,3,5,6,7]=>([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,5,6,8,7,1,4,2]=>[1,4,2,3,5,6,8,7]=>[1,4,2,3,5,6,8,7]=>([(3,4),(5,7),(6,7)],8)
[4,5,6,7,8,1,3,2]=>[1,3,2,4,5,6,7,8]=>[1,3,2,4,5,6,7,8]=>([(6,7)],8)
[4,5,6,7,1,3,8,2]=>[1,3,8,2,4,5,6,7]=>[1,8,3,2,4,5,6,7]=>([(1,7),(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[4,5,6,7,1,3,2,8]=>[1,3,2,8,4,5,6,7]=>[1,3,2,8,4,5,6,7]=>([(1,2),(3,7),(4,7),(5,7),(6,7)],8)
[4,5,6,7,3,1,8,2]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>([(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[3,5,6,8,7,4,1,2]=>[1,2,3,5,6,8,4,7]=>[1,2,3,8,5,6,4,7]=>([(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,5,8,6,7,4,1,3]=>[1,3,2,5,8,4,6,7]=>[1,3,2,8,5,4,6,7]=>([(1,2),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[1,8,5,6,7,4,2,3]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>([(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[1,8,5,6,7,4,3,2]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>([(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[2,5,8,6,7,4,3,1]=>[1,2,5,8,3,4,6,7]=>[1,2,8,3,5,4,6,7]=>([(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[8,2,5,3,7,1,6,4]=>[1,6,2,5,3,7,4,8]=>[1,6,5,7,2,3,4,8]=>([(2,3),(2,4),(2,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,2,4,3,7,1,6,5]=>[1,6,2,4,3,7,5,8]=>[1,6,4,2,7,3,5,8]=>([(2,3),(2,7),(3,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,8,2,4,3,7,1,6]=>[1,6,2,4,3,7,5,8]=>[1,6,4,2,7,3,5,8]=>([(2,3),(2,7),(3,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,2,5,6,1,8,3,7]=>[1,8,2,5,6,3,7,4]=>[1,8,6,7,2,5,3,4]=>([(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[6,1,5,7,3,2,4,8]=>[1,5,7,2,4,8,3,6]=>[1,7,8,2,5,3,4,6]=>([(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[6,1,5,8,3,2,4,7]=>[1,5,8,2,4,7,3,6]=>[1,8,7,2,5,3,4,6]=>([(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,6,8,2,4,7,1,5]=>[1,5,2,4,7,3,6,8]=>[1,5,7,2,4,3,6,8]=>([(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[4,3,5,6,7,1,8,2]=>[1,8,2,3,5,6,7,4]=>[1,8,2,7,3,5,6,4]=>([(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,2,5,1,7,4,6,8]=>[1,7,2,5,3,4,6,8]=>[1,7,5,3,2,4,6,8]=>([(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,2,5,1,8,4,6,7]=>[1,8,2,5,3,4,6,7]=>[1,8,5,3,2,4,6,7]=>([(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,2,5,1,7,8,4,6]=>[1,7,8,2,5,3,4,6]=>[1,8,5,3,2,4,7,6]=>([(1,2),(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,1,5,7,8,3,2,4]=>[1,5,7,8,2,4,3,6]=>[1,8,4,2,5,3,7,6]=>([(1,2),(1,7),(2,7),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[4,2,5,6,1,7,8,3]=>[1,7,8,2,5,6,3,4]=>[1,8,6,3,2,5,7,4]=>([(1,5),(1,7),(2,3),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,7,6,1,8,3,4,2]=>[1,8,2,3,4,5,7,6]=>[1,8,2,3,4,7,5,6]=>([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,8,6,1,7,3,4,2]=>[1,7,2,3,4,5,8,6]=>[1,7,2,3,4,8,5,6]=>([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[6,1,5,8,7,3,2,4]=>[1,5,8,2,4,3,6,7]=>[1,8,4,2,5,3,6,7]=>([(1,7),(2,7),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[3,2,5,1,8,7,4,6]=>[1,8,2,5,3,4,6,7]=>[1,8,5,3,2,4,6,7]=>([(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,2,5,1,6,4,7,8]=>[1,6,2,5,3,4,7,8]=>[1,6,5,3,2,4,7,8]=>([(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,2,4,1,8,7,5,6]=>[1,8,2,4,3,5,6,7]=>[1,8,4,2,3,5,6,7]=>([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,8,6,5,1,7,4,2]=>[1,7,2,3,8,4,5,6]=>[1,7,2,8,4,5,3,6]=>([(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[3,7,6,5,1,8,4,2]=>[1,8,2,3,7,4,5,6]=>[1,8,2,7,4,5,3,6]=>([(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,5,1,7,8,4,2,3]=>[1,7,8,2,3,4,5,6]=>[1,8,2,3,4,5,7,6]=>([(1,7),(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[3,2,5,1,6,7,8,4]=>[1,6,7,8,2,5,3,4]=>[1,8,5,3,2,6,7,4]=>([(1,5),(1,7),(2,5),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,2,4,1,8,5,6,7]=>[1,8,2,4,3,5,6,7]=>[1,8,4,2,3,5,6,7]=>([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,2,4,1,7,5,6,8]=>[1,7,2,4,3,5,6,8]=>[1,7,4,2,3,5,6,8]=>([(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,2,4,1,6,8,5,7]=>[1,6,8,2,4,3,5,7]=>[1,8,4,2,3,6,5,7]=>([(1,7),(2,3),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,2,4,1,8,5,7,6]=>[1,8,2,4,3,5,7,6]=>[1,8,4,2,3,7,5,6]=>([(1,6),(1,7),(2,6),(2,7),(3,5),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[8,3,2,4,7,6,1,5]=>[1,5,2,4,7,3,6,8]=>[1,5,7,2,4,3,6,8]=>([(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[3,2,5,1,8,4,7,6]=>[1,8,2,5,3,4,7,6]=>[1,8,5,3,2,7,4,6]=>([(1,5),(1,7),(2,3),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[3,2,5,1,6,7,4,8]=>[1,6,7,2,5,3,4,8]=>[1,7,5,3,2,6,4,8]=>([(2,5),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,5,1,7,4,2,3,8]=>[1,7,2,3,8,4,5,6]=>[1,7,2,8,4,5,3,6]=>([(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[6,5,1,8,4,2,3,7]=>[1,8,2,3,7,4,5,6]=>[1,8,2,7,4,5,3,6]=>([(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,2,6,1,8,3,7,5]=>[1,8,2,6,3,7,4,5]=>[1,8,6,7,4,2,3,5]=>([(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[5,2,6,1,8,3,7,4]=>[1,8,2,6,3,7,4,5]=>[1,8,6,7,4,2,3,5]=>([(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[8,4,6,1,7,3,5,2]=>[1,7,2,3,5,4,6,8]=>[1,7,2,5,3,4,6,8]=>([(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,2,6,1,8,4,7,3]=>[1,8,2,6,3,4,7,5]=>[1,8,6,3,7,2,4,5]=>([(1,4),(1,6),(1,7),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[7,4,2,3,8,5,1,6]=>[1,6,2,3,8,4,5,7]=>[1,6,2,8,4,3,5,7]=>([(1,7),(2,6),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[7,5,1,6,4,2,3,8]=>[1,6,2,3,8,4,5,7]=>[1,6,2,8,4,3,5,7]=>([(1,7),(2,6),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[3,2,5,1,7,6,4,8]=>[1,7,2,5,3,4,8,6]=>[1,7,5,3,2,8,4,6]=>([(1,2),(1,5),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,2,5,1,8,6,4,7]=>[1,8,2,5,3,4,7,6]=>[1,8,5,3,2,7,4,6]=>([(1,5),(1,7),(2,3),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[7,3,2,4,8,6,1,5]=>[1,5,2,4,8,3,6,7]=>[1,5,8,2,4,3,6,7]=>([(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[8,6,1,5,7,3,2,4]=>[1,5,7,2,4,3,6,8]=>[1,7,4,2,5,3,6,8]=>([(2,7),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[4,2,6,1,8,5,7,3]=>[1,8,2,6,3,4,5,7]=>[1,8,6,3,4,2,5,7]=>([(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,5,6,1,7,3,4,2]=>[1,7,2,3,4,5,6,8]=>[1,7,2,3,4,5,6,8]=>([(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[8,5,1,6,7,4,2,3]=>[1,6,7,2,3,4,5,8]=>[1,7,2,3,4,6,5,8]=>([(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[3,2,5,1,8,6,7,4]=>[1,8,2,5,3,4,6,7]=>[1,8,5,3,2,4,6,7]=>([(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,2,4,1,8,6,5,7]=>[1,8,2,4,3,5,7,6]=>[1,8,4,2,3,7,5,6]=>([(1,6),(1,7),(2,6),(2,7),(3,5),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[3,2,4,1,5,8,6,7]=>[1,5,8,2,4,3,6,7]=>[1,8,4,2,5,3,6,7]=>([(1,7),(2,7),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[3,2,5,1,7,8,6,4]=>[1,7,8,2,5,3,4,6]=>[1,8,5,3,2,4,7,6]=>([(1,2),(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[7,8,5,1,6,4,2,3]=>[1,6,2,3,4,5,7,8]=>[1,6,2,3,4,5,7,8]=>([(3,7),(4,7),(5,7),(6,7)],8)
[3,8,5,1,7,6,4,2]=>[1,7,2,3,8,4,5,6]=>[1,7,2,8,4,5,3,6]=>([(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[3,7,5,1,8,6,4,2]=>[1,8,2,3,7,4,5,6]=>[1,8,2,7,4,5,3,6]=>([(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,7,5,1,6,4,2,3]=>[1,6,2,3,4,5,7,8]=>[1,6,2,3,4,5,7,8]=>([(3,7),(4,7),(5,7),(6,7)],8)
[3,2,5,1,8,7,6,4]=>[1,8,2,5,3,4,6,7]=>[1,8,5,3,2,4,6,7]=>([(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,5,7,3,1,8,4,2]=>[1,8,2,3,4,5,7,6]=>[1,8,2,3,4,7,5,6]=>([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,6,3,7,1,8,5,2]=>[1,8,2,3,7,4,6,5]=>[1,8,2,7,6,4,3,5]=>([(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,6,3,7,5,1,8,2]=>[1,8,2,3,7,4,6,5]=>[1,8,2,7,6,4,3,5]=>([(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,2,6,1,7,5,3,8]=>[1,7,2,6,3,8,4,5]=>[1,7,6,8,4,2,3,5]=>([(1,4),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(5,6),(5,7),(6,7)],8)
[2,5,7,4,1,6,3,8]=>[1,6,2,5,7,3,8,4]=>[1,6,7,8,2,5,3,4]=>([(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,7),(5,7),(6,7)],8)
[5,4,7,3,6,1,8,2]=>[1,8,2,3,6,4,7,5]=>[1,8,2,6,7,3,4,5]=>([(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[4,3,7,5,1,8,6,2]=>[1,8,2,3,7,4,5,6]=>[1,8,2,7,4,5,3,6]=>([(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,4,3,8,5,1,7,2]=>[1,7,2,3,8,4,5,6]=>[1,7,2,8,4,5,3,6]=>([(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[5,8,4,3,6,1,7,2]=>[1,7,2,3,6,4,5,8]=>[1,7,2,6,4,3,5,8]=>([(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,4,3,6,7,1,8,2]=>[1,8,2,3,6,7,4,5]=>[1,8,2,7,4,3,6,5]=>([(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,5,4,6,1,7,3,8]=>[1,7,2,5,3,8,4,6]=>[1,7,5,8,2,4,3,6]=>([(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7)],8)
[2,5,4,6,8,1,7,3]=>[1,7,2,5,3,4,6,8]=>[1,7,5,3,2,4,6,8]=>([(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,6,2,1,8,5,7,3]=>[1,8,2,3,4,6,5,7]=>[1,8,2,3,6,4,5,7]=>([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,4,1,7,5,8,6,3]=>[1,7,2,4,3,5,8,6]=>[1,7,4,2,3,8,5,6]=>([(1,2),(1,3),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,4,1,7,5,3,8,6]=>[1,7,2,4,3,8,5,6]=>[1,7,4,2,8,5,3,6]=>([(1,4),(1,7),(2,5),(2,7),(3,4),(3,6),(3,7),(4,6),(5,6),(5,7),(6,7)],8)
[2,6,4,1,8,5,3,7]=>[1,8,2,6,3,7,4,5]=>[1,8,6,7,4,2,3,5]=>([(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[5,4,8,2,1,6,3,7]=>[1,6,2,3,7,4,8,5]=>[1,6,2,7,8,3,4,5]=>([(1,7),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8)
[2,5,8,4,1,6,3,7]=>[1,6,2,5,8,3,7,4]=>[1,6,8,7,2,5,3,4]=>([(1,4),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(5,6),(5,7),(6,7)],8)
[3,5,2,8,1,6,4,7]=>[1,6,2,8,3,5,4,7]=>[1,6,8,5,3,2,4,7]=>([(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[3,2,1,6,8,5,4,7]=>[1,6,8,2,3,4,7,5]=>[1,8,2,3,7,6,4,5]=>([(1,7),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,2,7,1,5,4,8,6]=>[1,5,2,7,3,4,8,6]=>[1,5,7,3,2,8,4,6]=>([(1,2),(1,6),(2,7),(3,4),(3,5),(3,6),(4,5),(4,7),(5,7),(6,7)],8)
[3,2,7,1,5,8,6,4]=>[1,5,8,2,7,3,4,6]=>[1,8,7,3,5,4,2,6]=>([(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,8,3,2,6,7,1,5]=>[1,5,2,6,7,3,4,8]=>[1,5,7,3,2,6,4,8]=>([(2,6),(2,7),(3,4),(3,5),(3,6),(4,5),(4,7),(5,7),(6,7)],8)
[4,3,8,2,6,7,1,5]=>[1,5,2,6,7,3,8,4]=>[1,5,7,8,2,6,3,4]=>([(1,2),(1,6),(1,7),(2,4),(2,5),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[4,3,2,6,7,8,1,5]=>[1,5,2,6,7,8,3,4]=>[1,5,8,3,2,6,7,4]=>([(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,7),(5,6),(6,7)],8)
[4,3,2,6,7,1,5,8]=>[1,5,8,2,6,7,3,4]=>[1,8,7,3,5,2,6,4]=>([(1,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,3,7,2,6,8,1,5]=>[1,5,2,6,8,3,7,4]=>[1,5,8,7,2,6,3,4]=>([(1,2),(1,4),(1,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,3,7,8,2,6,1,5]=>[1,5,2,6,3,7,8,4]=>[1,5,6,8,2,3,7,4]=>([(1,6),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(4,6),(5,6),(6,7)],8)
[2,5,7,4,8,1,6,3]=>[1,6,2,5,7,3,4,8]=>[1,6,7,3,2,5,4,8]=>([(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[3,2,5,7,8,1,6,4]=>[1,6,2,5,7,8,3,4]=>[1,6,8,3,2,5,7,4]=>([(1,6),(1,7),(2,3),(2,5),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[3,2,5,7,1,6,4,8]=>[1,6,2,5,7,3,4,8]=>[1,6,7,3,2,5,4,8]=>([(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[6,3,2,7,1,5,4,8]=>[1,5,2,7,3,4,8,6]=>[1,5,7,3,2,8,4,6]=>([(1,2),(1,6),(2,7),(3,4),(3,5),(3,6),(4,5),(4,7),(5,7),(6,7)],8)
[6,3,2,7,1,5,8,4]=>[1,5,8,2,7,3,4,6]=>[1,8,7,3,5,4,2,6]=>([(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,3,2,7,8,1,5,4]=>[1,5,2,7,8,3,4,6]=>[1,5,8,3,2,4,7,6]=>([(1,2),(1,7),(2,7),(3,4),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[6,5,2,1,7,8,4,3]=>[1,7,8,2,3,4,5,6]=>[1,8,2,3,4,5,7,6]=>([(1,7),(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[2,1,7,5,3,8,6,4]=>[1,7,2,3,8,4,5,6]=>[1,7,2,8,4,5,3,6]=>([(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[6,2,1,8,5,3,7,4]=>[1,8,2,3,7,4,5,6]=>[1,8,2,7,4,5,3,6]=>([(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,3,2,7,1,4,8,5]=>[1,4,8,2,7,3,5,6]=>[1,8,7,4,3,5,2,6]=>([(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,3,2,1,4,7,5,8]=>[1,4,7,2,3,5,8,6]=>[1,7,2,4,3,8,5,6]=>([(1,7),(2,5),(2,6),(3,4),(3,7),(4,7),(5,7),(6,7)],8)
[3,5,2,1,7,4,6,8]=>[1,7,2,3,5,4,6,8]=>[1,7,2,5,3,4,6,8]=>([(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[5,8,4,2,1,7,3,6]=>[1,7,2,3,6,4,5,8]=>[1,7,2,6,4,3,5,8]=>([(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,6,2,1,8,3,7,5]=>[1,8,2,3,7,4,6,5]=>[1,8,2,7,6,4,3,5]=>([(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,4,1,7,3,8,6,5]=>[1,7,2,4,3,8,5,6]=>[1,7,4,2,8,5,3,6]=>([(1,4),(1,7),(2,5),(2,7),(3,4),(3,6),(3,7),(4,6),(5,6),(5,7),(6,7)],8)
[3,2,7,1,4,8,6,5]=>[1,4,8,2,7,3,5,6]=>[1,8,7,4,3,5,2,6]=>([(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,5,8,2,1,7,4,6]=>[1,7,2,3,5,8,4,6]=>[1,7,2,8,3,4,5,6]=>([(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[4,8,3,7,2,1,5,6]=>[1,5,6,2,3,7,4,8]=>[1,6,2,7,5,3,4,8]=>([(2,7),(3,4),(3,5),(3,6),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,3,7,2,8,1,5,6]=>[1,5,6,2,8,3,7,4]=>[1,6,8,7,5,2,3,4]=>([(1,2),(1,3),(1,4),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,3,7,2,1,5,6,8]=>[1,5,6,8,2,3,7,4]=>[1,8,2,7,5,6,3,4]=>([(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[3,5,2,8,1,7,4,6]=>[1,7,2,8,3,5,4,6]=>[1,7,8,5,3,4,2,6]=>([(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[6,3,2,8,1,4,7,5]=>[1,4,7,2,8,3,5,6]=>[1,7,8,4,3,5,2,6]=>([(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[3,2,1,4,7,5,8,6]=>[1,4,7,2,3,5,8,6]=>[1,7,2,4,3,8,5,6]=>([(1,7),(2,5),(2,6),(3,4),(3,7),(4,7),(5,7),(6,7)],8)
[4,3,8,2,1,5,6,7]=>[1,5,6,7,2,3,8,4]=>[1,7,2,8,5,6,3,4]=>([(1,7),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[1,9,8,7,6,5,4,3,2]=>[1,9,2,3,4,5,6,7,8]=>[1,9,2,3,4,5,6,7,8]=>([(1,8),(2,8),(3,8),(4,8),(5,8),(6,8),(7,8)],9)
[8,7,6,4,5,3,2,1,9]=>[1,9,2,3,4,5,6,7,8]=>[1,9,2,3,4,5,6,7,8]=>([(1,8),(2,8),(3,8),(4,8),(5,8),(6,8),(7,8)],9)
[1,9,8,7,5,6,4,3,2]=>[1,9,2,3,4,5,6,7,8]=>[1,9,2,3,4,5,6,7,8]=>([(1,8),(2,8),(3,8),(4,8),(5,8),(6,8),(7,8)],9)
[1,10,9,8,7,6,5,4,3,2]=>[1,10,2,3,4,5,6,7,8,9]=>[1,10,2,3,4,5,6,7,8,9]=>([(1,9),(2,9),(3,9),(4,9),(5,9),(6,9),(7,9),(8,9)],10)
[10,9,8,7,6,5,4,3,2,1,11]=>[1,11,2,3,4,5,6,7,8,9,10]=>[1,11,2,3,4,5,6,7,8,9,10]=>([(1,10),(2,10),(3,10),(4,10),(5,10),(6,10),(7,10),(8,10),(9,10)],11)
[9,8,7,5,6,4,3,2,1,10]=>[1,10,2,3,4,5,6,7,8,9]=>[1,10,2,3,4,5,6,7,8,9]=>([(1,9),(2,9),(3,9),(4,9),(5,9),(6,9),(7,9),(8,9)],10)
[1,10,9,8,6,7,5,4,3,2]=>[1,10,2,3,4,5,6,7,8,9]=>[1,10,2,3,4,5,6,7,8,9]=>([(1,9),(2,9),(3,9),(4,9),(5,9),(6,9),(7,9),(8,9)],10)
[1,11,10,9,8,7,6,5,4,3,2]=>[1,11,2,3,4,5,6,7,8,9,10]=>[1,11,2,3,4,5,6,7,8,9,10]=>([(1,10),(2,10),(3,10),(4,10),(5,10),(6,10),(7,10),(8,10),(9,10)],11)
[6,2,3,1,5,4,8,7]=>[1,5,2,3,4,8,6,7]=>[1,5,2,3,4,8,6,7]=>([(1,7),(2,7),(3,7),(4,6),(5,6)],8)
[8,4,5,2,3,1,7,6]=>[1,7,2,3,4,5,6,8]=>[1,7,2,3,4,5,6,8]=>([(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[8,6,7,2,5,3,4,1]=>[1,2,5,3,4,6,7,8]=>[1,2,5,3,4,6,7,8]=>([(5,7),(6,7)],8)
[8,2,5,3,4,1,7,6]=>[1,7,2,5,3,4,6,8]=>[1,7,5,3,2,4,6,8]=>([(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,2,5,3,4,1,8,7]=>[1,8,2,5,3,4,6,7]=>[1,8,5,3,2,4,6,7]=>([(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[6,1,5,2,4,3,8,7]=>[1,5,2,4,3,8,6,7]=>[1,5,4,2,3,8,6,7]=>([(1,5),(2,5),(3,6),(3,7),(4,6),(4,7),(6,7)],8)
[6,4,5,1,3,2,8,7]=>[1,3,2,8,4,5,6,7]=>[1,3,2,8,4,5,6,7]=>([(1,2),(3,7),(4,7),(5,7),(6,7)],8)
[6,1,5,3,4,2,8,7]=>[1,5,2,8,3,4,6,7]=>[1,5,8,3,2,4,6,7]=>([(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[6,3,5,1,4,2,8,7]=>[1,4,2,8,3,5,6,7]=>[1,4,8,2,3,5,6,7]=>([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[8,3,5,2,4,1,7,6]=>[1,7,2,4,3,5,6,8]=>[1,7,4,2,3,5,6,8]=>([(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,3,7,5,6,2,4,1]=>[1,2,4,3,7,5,6,8]=>[1,2,4,3,7,5,6,8]=>([(3,4),(5,7),(6,7)],8)
[8,3,7,2,4,1,6,5]=>[1,6,2,4,3,7,5,8]=>[1,6,4,2,7,3,5,8]=>([(2,3),(2,7),(3,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,3,5,1,4,2,7,6]=>[1,4,2,7,3,5,6,8]=>[1,4,7,2,3,5,6,8]=>([(2,7),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[8,1,5,3,4,2,7,6]=>[1,5,2,7,3,4,6,8]=>[1,5,7,3,2,4,6,8]=>([(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[8,4,5,1,3,2,7,6]=>[1,3,2,7,4,5,6,8]=>[1,3,2,7,4,5,6,8]=>([(2,3),(4,7),(5,7),(6,7)],8)
[2,1,8,4,5,3,7,6]=>[1,8,2,3,7,4,5,6]=>[1,8,2,7,4,5,3,6]=>([(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,6,7,4,5,1,3,2]=>[1,3,2,4,5,6,7,8]=>[1,3,2,4,5,6,7,8]=>([(6,7)],8)
[8,6,7,1,5,3,4,2]=>[1,5,2,3,4,6,7,8]=>[1,5,2,3,4,6,7,8]=>([(4,7),(5,7),(6,7)],8)
[8,6,7,3,5,1,4,2]=>[1,4,2,3,5,6,7,8]=>[1,4,2,3,5,6,7,8]=>([(5,7),(6,7)],8)
[8,3,7,5,6,1,4,2]=>[1,4,2,3,7,5,6,8]=>[1,4,2,3,7,5,6,8]=>([(2,7),(3,7),(4,6),(5,6)],8)
[8,5,7,3,6,1,4,2]=>[1,4,2,3,6,5,7,8]=>[1,4,2,3,6,5,7,8]=>([(3,4),(5,7),(6,7)],8)
[8,3,7,4,6,2,5,1]=>[1,2,5,3,7,4,6,8]=>[1,2,5,7,3,4,6,8]=>([(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[8,3,7,4,6,1,5,2]=>[1,5,2,3,7,4,6,8]=>[1,5,2,7,3,4,6,8]=>([(2,7),(3,6),(4,6),(4,7),(5,6),(5,7)],8)
[8,1,7,3,6,4,5,2]=>[1,7,2,3,6,4,5,8]=>[1,7,2,6,4,3,5,8]=>([(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,1,7,5,6,3,4,2]=>[1,7,2,3,4,5,6,8]=>[1,7,2,3,4,5,6,8]=>([(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[2,1,8,4,7,5,6,3]=>[1,8,2,3,4,7,5,6]=>[1,8,2,3,7,5,4,6]=>([(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,1,7,3,4,2,6,5]=>[1,7,2,6,3,4,5,8]=>[1,7,6,3,4,2,5,8]=>([(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,1,7,3,6,2,5,4]=>[1,7,2,5,3,6,4,8]=>[1,7,5,6,2,3,4,8]=>([(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[8,3,7,1,6,2,5,4]=>[1,6,2,5,3,7,4,8]=>[1,6,5,7,2,3,4,8]=>([(2,3),(2,4),(2,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,3,7,2,6,4,5,1]=>[1,2,6,3,7,4,5,8]=>[1,2,6,7,4,3,5,8]=>([(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[8,2,7,3,6,4,5,1]=>[1,2,7,3,6,4,5,8]=>[1,2,7,6,4,3,5,8]=>([(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,2,7,3,6,1,5,4]=>[1,5,2,7,3,6,4,8]=>[1,5,7,6,2,3,4,8]=>([(2,3),(2,4),(2,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,2,7,1,6,3,5,4]=>[1,6,2,7,3,5,4,8]=>[1,6,7,5,3,2,4,8]=>([(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[8,1,7,2,4,3,6,5]=>[1,7,2,4,3,6,5,8]=>[1,7,4,2,6,3,5,8]=>([(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[8,1,3,2,7,4,6,5]=>[1,3,2,7,4,6,5,8]=>[1,3,2,7,6,4,5,8]=>([(2,3),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,1,8,3,7,4,6,5]=>[1,8,2,3,7,4,6,5]=>[1,8,2,7,6,4,3,5]=>([(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,1,5,2,4,3,7,6]=>[1,5,2,4,3,7,6,8]=>[1,5,4,2,3,7,6,8]=>([(2,3),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,2,7,1,4,3,6,5]=>[1,4,2,7,3,6,5,8]=>[1,4,7,2,6,3,5,8]=>([(2,3),(2,7),(3,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,2,7,3,4,1,6,5]=>[1,6,2,7,3,4,5,8]=>[1,6,7,3,4,2,5,8]=>([(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[8,2,7,5,6,3,4,1]=>[1,2,7,3,4,5,6,8]=>[1,2,7,3,4,5,6,8]=>([(3,7),(4,7),(5,7),(6,7)],8)
[8,4,7,5,6,2,3,1]=>[1,2,3,4,7,5,6,8]=>[1,2,3,4,7,5,6,8]=>([(5,7),(6,7)],8)
[8,4,7,2,3,1,6,5]=>[1,6,2,3,4,7,5,8]=>[1,6,2,3,7,4,5,8]=>([(2,7),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[8,2,3,1,7,4,6,5]=>[1,7,2,3,4,6,5,8]=>[1,7,2,3,6,4,5,8]=>([(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,2,3,1,5,4,7,6]=>[1,5,2,3,4,7,6,8]=>[1,5,2,3,4,7,6,8]=>([(2,3),(4,7),(5,7),(6,7)],8)
[4,2,3,1,8,5,7,6]=>[1,8,2,3,4,5,7,6]=>[1,8,2,3,4,7,5,6]=>([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[4,1,3,2,8,6,7,5]=>[1,3,2,8,4,5,6,7]=>[1,3,2,8,4,5,6,7]=>([(1,2),(3,7),(4,7),(5,7),(6,7)],8)
[8,6,7,2,3,1,5,4]=>[1,5,2,3,4,6,7,8]=>[1,5,2,3,4,6,7,8]=>([(4,7),(5,7),(6,7)],8)
[8,2,3,1,7,5,6,4]=>[1,7,2,3,4,5,6,8]=>[1,7,2,3,4,5,6,8]=>([(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[8,5,7,2,6,3,4,1]=>[1,2,6,3,4,5,7,8]=>[1,2,6,3,4,5,7,8]=>([(4,7),(5,7),(6,7)],8)
[8,5,7,2,6,1,4,3]=>[1,4,2,6,3,5,7,8]=>[1,4,6,2,3,5,7,8]=>([(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[8,2,7,5,6,1,4,3]=>[1,4,2,7,3,5,6,8]=>[1,4,7,2,3,5,6,8]=>([(2,7),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[8,6,7,2,5,1,4,3]=>[1,4,2,5,3,6,7,8]=>[1,4,5,2,3,6,7,8]=>([(4,6),(4,7),(5,6),(5,7)],8)
[8,6,7,1,5,2,4,3]=>[1,5,2,4,3,6,7,8]=>[1,5,4,2,3,6,7,8]=>([(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,6,7,1,3,2,5,4]=>[1,3,2,5,4,6,7,8]=>[1,3,2,5,4,6,7,8]=>([(4,7),(5,6)],8)
[2,1,8,6,7,3,5,4]=>[1,8,2,3,5,4,6,7]=>[1,8,2,5,3,4,6,7]=>([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,1,8,3,7,5,6,4]=>[1,8,2,3,7,4,5,6]=>[1,8,2,7,4,5,3,6]=>([(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,1,3,2,7,5,6,4]=>[1,3,2,7,4,5,6,8]=>[1,3,2,7,4,5,6,8]=>([(2,3),(4,7),(5,7),(6,7)],8)
[8,1,7,5,6,2,4,3]=>[1,7,2,4,3,5,6,8]=>[1,7,4,2,3,5,6,8]=>([(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,1,7,2,6,4,5,3]=>[1,7,2,6,3,4,5,8]=>[1,7,6,3,4,2,5,8]=>([(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,2,7,1,6,4,5,3]=>[1,6,2,7,3,4,5,8]=>[1,6,7,3,4,2,5,8]=>([(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[8,2,7,4,6,1,5,3]=>[1,5,2,7,3,4,6,8]=>[1,5,7,3,2,4,6,8]=>([(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[8,2,7,4,6,3,5,1]=>[1,2,7,3,5,4,6,8]=>[1,2,7,5,3,4,6,8]=>([(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,4,7,2,6,3,5,1]=>[1,2,6,3,5,4,7,8]=>[1,2,6,5,3,4,7,8]=>([(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,4,7,2,6,1,5,3]=>[1,5,2,6,3,4,7,8]=>[1,5,6,3,2,4,7,8]=>([(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[8,4,7,1,6,2,5,3]=>[1,6,2,5,3,4,7,8]=>[1,6,5,3,2,4,7,8]=>([(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,1,7,4,6,2,5,3]=>[1,7,2,5,3,4,6,8]=>[1,7,5,3,2,4,6,8]=>([(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,5,7,1,6,2,4,3]=>[1,6,2,4,3,5,7,8]=>[1,6,4,2,3,5,7,8]=>([(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[2,1,8,5,7,3,6,4]=>[1,8,2,3,6,4,5,7]=>[1,8,2,6,4,3,5,7]=>([(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,5,7,4,6,1,3,2]=>[1,3,2,4,6,5,7,8]=>[1,3,2,4,6,5,7,8]=>([(4,7),(5,6)],8)
[8,5,7,1,6,3,4,2]=>[1,6,2,3,4,5,7,8]=>[1,6,2,3,4,5,7,8]=>([(3,7),(4,7),(5,7),(6,7)],8)
[8,1,7,4,6,3,5,2]=>[1,7,2,3,5,4,6,8]=>[1,7,2,5,3,4,6,8]=>([(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,4,7,1,6,3,5,2]=>[1,6,2,3,5,4,7,8]=>[1,6,2,5,3,4,7,8]=>([(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[8,4,7,3,6,1,5,2]=>[1,5,2,3,6,4,7,8]=>[1,5,2,6,3,4,7,8]=>([(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[6,5,8,1,3,2,7,