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)
[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)
[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)
[8,5,6,7,2,3,4,1]=>[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)
[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)
[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)
[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)
[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)
Map
runsort
Description
The permutation obtained by sorting the increasing runs lexicographically.
Map
descent views to invisible inversion bottoms
Description
Return a permutation whose multiset of invisible inversion bottoms is the multiset of descent views of the given permutation.
An invisible inversion of a permutation $\sigma$ is a pair $i < j$ such that $i < \sigma(j) < \sigma(i)$. The element $\sigma(j)$ is then an invisible inversion bottom.
A descent view in a permutation $\pi$ is an element $\pi(j)$ such that $\pi(i+1) < \pi(j) < \pi(i)$, and additionally the smallest element in the decreasing run containing $\pi(i)$ is smaller than the smallest element in the decreasing run containing $\pi(j)$.
This map is a bijection $\chi:\mathfrak S_n \to \mathfrak S_n$, such that
An invisible inversion of a permutation $\sigma$ is a pair $i < j$ such that $i < \sigma(j) < \sigma(i)$. The element $\sigma(j)$ is then an invisible inversion bottom.
A descent view in a permutation $\pi$ is an element $\pi(j)$ such that $\pi(i+1) < \pi(j) < \pi(i)$, and additionally the smallest element in the decreasing run containing $\pi(i)$ is smaller than the smallest element in the decreasing run containing $\pi(j)$.
This map is a bijection $\chi:\mathfrak S_n \to \mathfrak S_n$, such that
- the multiset of descent views in $\pi$ is the multiset of invisible inversion bottoms in $\chi(\pi)$,
- the set of left-to-right maximima of $\pi$ is the set of maximal elements in the cycles of $\chi(\pi)$,
- the set of global ascent of $\pi$ is the set of global ascent of $\chi(\pi)$,
- the set of maximal elements in the decreasing runs of $\pi$ is the set of deficiency positions of $\chi(\pi)$, and
- the set of minimal elements in the decreasing runs of $\pi$ is the set of deficiency values of $\chi(\pi)$.
Map
graph of inversions
Description
The graph of inversions of a permutation.
For a permutation of $\{1,\dots,n\}$, this is the graph with vertices $\{1,\dots,n\}$, where $(i,j)$ is an edge if and only if it is an inversion of the permutation.
For a permutation of $\{1,\dots,n\}$, this is the graph with vertices $\{1,\dots,n\}$, where $(i,j)$ is an edge if and only if it is an inversion of the permutation.
searching the database
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