Identifier
-
Mp00065:
Permutations
—permutation poset⟶
Posets
St001396: Posets ⟶ ℤ
Values
=>
Cc0014;cc-rep
[1]=>([],1)=>0
[1,2]=>([(0,1)],2)=>0
[2,1]=>([],2)=>0
[1,2,3]=>([(0,2),(2,1)],3)=>0
[1,3,2]=>([(0,1),(0,2)],3)=>0
[2,1,3]=>([(0,2),(1,2)],3)=>0
[2,3,1]=>([(1,2)],3)=>0
[3,1,2]=>([(1,2)],3)=>0
[3,2,1]=>([],3)=>1
[1,2,3,4]=>([(0,3),(2,1),(3,2)],4)=>0
[1,2,4,3]=>([(0,3),(3,1),(3,2)],4)=>0
[1,3,2,4]=>([(0,1),(0,2),(1,3),(2,3)],4)=>0
[1,3,4,2]=>([(0,2),(0,3),(3,1)],4)=>0
[1,4,2,3]=>([(0,2),(0,3),(3,1)],4)=>0
[1,4,3,2]=>([(0,1),(0,2),(0,3)],4)=>1
[2,1,3,4]=>([(0,3),(1,3),(3,2)],4)=>0
[2,1,4,3]=>([(0,2),(0,3),(1,2),(1,3)],4)=>0
[2,3,1,4]=>([(0,3),(1,2),(2,3)],4)=>0
[2,3,4,1]=>([(1,2),(2,3)],4)=>0
[2,4,1,3]=>([(0,3),(1,2),(1,3)],4)=>0
[2,4,3,1]=>([(1,2),(1,3)],4)=>1
[3,1,2,4]=>([(0,3),(1,2),(2,3)],4)=>0
[3,1,4,2]=>([(0,3),(1,2),(1,3)],4)=>0
[3,2,1,4]=>([(0,3),(1,3),(2,3)],4)=>1
[3,2,4,1]=>([(1,3),(2,3)],4)=>1
[3,4,1,2]=>([(0,3),(1,2)],4)=>0
[3,4,2,1]=>([(2,3)],4)=>2
[4,1,2,3]=>([(1,2),(2,3)],4)=>0
[4,1,3,2]=>([(1,2),(1,3)],4)=>1
[4,2,1,3]=>([(1,3),(2,3)],4)=>1
[4,2,3,1]=>([(2,3)],4)=>2
[4,3,1,2]=>([(2,3)],4)=>2
[4,3,2,1]=>([],4)=>4
[1,2,3,4,5]=>([(0,4),(2,3),(3,1),(4,2)],5)=>0
[1,2,3,5,4]=>([(0,3),(3,4),(4,1),(4,2)],5)=>0
[1,2,4,3,5]=>([(0,3),(1,4),(2,4),(3,1),(3,2)],5)=>0
[1,2,4,5,3]=>([(0,4),(3,2),(4,1),(4,3)],5)=>0
[1,2,5,3,4]=>([(0,4),(3,2),(4,1),(4,3)],5)=>0
[1,2,5,4,3]=>([(0,4),(4,1),(4,2),(4,3)],5)=>1
[1,3,2,4,5]=>([(0,2),(0,3),(2,4),(3,4),(4,1)],5)=>0
[1,3,2,5,4]=>([(0,1),(0,2),(1,3),(1,4),(2,3),(2,4)],5)=>0
[1,3,4,2,5]=>([(0,2),(0,3),(1,4),(2,4),(3,1)],5)=>0
[1,3,4,5,2]=>([(0,2),(0,4),(3,1),(4,3)],5)=>0
[1,3,5,2,4]=>([(0,2),(0,3),(2,4),(3,1),(3,4)],5)=>0
[1,3,5,4,2]=>([(0,3),(0,4),(4,1),(4,2)],5)=>1
[1,4,2,3,5]=>([(0,2),(0,3),(1,4),(2,4),(3,1)],5)=>0
[1,4,2,5,3]=>([(0,2),(0,3),(2,4),(3,1),(3,4)],5)=>0
[1,4,3,2,5]=>([(0,1),(0,2),(0,3),(1,4),(2,4),(3,4)],5)=>1
[1,4,3,5,2]=>([(0,1),(0,2),(0,3),(2,4),(3,4)],5)=>1
[1,4,5,2,3]=>([(0,3),(0,4),(3,2),(4,1)],5)=>0
[1,4,5,3,2]=>([(0,2),(0,3),(0,4),(4,1)],5)=>2
[1,5,2,3,4]=>([(0,2),(0,4),(3,1),(4,3)],5)=>0
[1,5,2,4,3]=>([(0,3),(0,4),(4,1),(4,2)],5)=>1
[1,5,3,2,4]=>([(0,1),(0,2),(0,3),(2,4),(3,4)],5)=>1
[1,5,3,4,2]=>([(0,2),(0,3),(0,4),(4,1)],5)=>2
[1,5,4,2,3]=>([(0,2),(0,3),(0,4),(4,1)],5)=>2
[1,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4)],5)=>4
[2,1,3,4,5]=>([(0,4),(1,4),(2,3),(4,2)],5)=>0
[2,1,3,5,4]=>([(0,4),(1,4),(4,2),(4,3)],5)=>0
[2,1,4,3,5]=>([(0,3),(0,4),(1,3),(1,4),(3,2),(4,2)],5)=>0
[2,1,4,5,3]=>([(0,3),(0,4),(1,3),(1,4),(4,2)],5)=>0
[2,1,5,3,4]=>([(0,3),(0,4),(1,3),(1,4),(4,2)],5)=>0
[2,1,5,4,3]=>([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4)],5)=>1
[2,3,1,4,5]=>([(0,4),(1,2),(2,4),(4,3)],5)=>0
[2,3,1,5,4]=>([(0,3),(0,4),(1,2),(2,3),(2,4)],5)=>0
[2,3,4,1,5]=>([(0,4),(1,2),(2,3),(3,4)],5)=>0
[2,3,4,5,1]=>([(1,4),(3,2),(4,3)],5)=>0
[2,3,5,1,4]=>([(0,4),(1,2),(2,3),(2,4)],5)=>0
[2,3,5,4,1]=>([(1,4),(4,2),(4,3)],5)=>1
[2,4,1,3,5]=>([(0,3),(1,2),(1,3),(2,4),(3,4)],5)=>0
[2,4,1,5,3]=>([(0,3),(0,4),(1,2),(1,3),(2,4)],5)=>0
[2,4,3,1,5]=>([(0,4),(1,2),(1,3),(2,4),(3,4)],5)=>1
[2,4,3,5,1]=>([(1,2),(1,3),(2,4),(3,4)],5)=>1
[2,4,5,1,3]=>([(0,4),(1,2),(1,4),(2,3)],5)=>0
[2,4,5,3,1]=>([(1,3),(1,4),(4,2)],5)=>2
[2,5,1,3,4]=>([(0,4),(1,2),(1,4),(4,3)],5)=>0
[2,5,1,4,3]=>([(0,3),(0,4),(1,2),(1,3),(1,4)],5)=>1
[2,5,3,1,4]=>([(0,4),(1,2),(1,3),(3,4)],5)=>1
[2,5,3,4,1]=>([(1,3),(1,4),(4,2)],5)=>2
[2,5,4,1,3]=>([(0,4),(1,2),(1,3),(1,4)],5)=>2
[2,5,4,3,1]=>([(1,2),(1,3),(1,4)],5)=>4
[3,1,2,4,5]=>([(0,4),(1,2),(2,4),(4,3)],5)=>0
[3,1,2,5,4]=>([(0,3),(0,4),(1,2),(2,3),(2,4)],5)=>0
[3,1,4,2,5]=>([(0,3),(1,2),(1,3),(2,4),(3,4)],5)=>0
[3,1,4,5,2]=>([(0,4),(1,2),(1,4),(4,3)],5)=>0
[3,1,5,2,4]=>([(0,3),(0,4),(1,2),(1,3),(2,4)],5)=>0
[3,1,5,4,2]=>([(0,3),(0,4),(1,2),(1,3),(1,4)],5)=>1
[3,2,1,4,5]=>([(0,4),(1,4),(2,4),(4,3)],5)=>1
[3,2,1,5,4]=>([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4)],5)=>1
[3,2,4,1,5]=>([(0,4),(1,3),(2,3),(3,4)],5)=>1
[3,2,4,5,1]=>([(1,4),(2,4),(4,3)],5)=>1
[3,2,5,1,4]=>([(0,4),(1,3),(1,4),(2,3),(2,4)],5)=>1
[3,2,5,4,1]=>([(1,3),(1,4),(2,3),(2,4)],5)=>2
[3,4,1,2,5]=>([(0,3),(1,2),(2,4),(3,4)],5)=>0
[3,4,1,5,2]=>([(0,3),(1,2),(1,4),(3,4)],5)=>0
[3,4,2,1,5]=>([(0,4),(1,4),(2,3),(3,4)],5)=>2
[3,4,2,5,1]=>([(1,4),(2,3),(3,4)],5)=>2
[3,4,5,1,2]=>([(0,3),(1,4),(4,2)],5)=>0
[3,4,5,2,1]=>([(2,3),(3,4)],5)=>3
[3,5,1,2,4]=>([(0,3),(1,2),(1,4),(3,4)],5)=>0
[3,5,1,4,2]=>([(0,3),(0,4),(1,2),(1,4)],5)=>1
[3,5,2,1,4]=>([(0,4),(1,4),(2,3),(2,4)],5)=>2
[3,5,2,4,1]=>([(1,4),(2,3),(2,4)],5)=>3
[3,5,4,1,2]=>([(0,4),(1,2),(1,3)],5)=>2
[3,5,4,2,1]=>([(2,3),(2,4)],5)=>5
[4,1,2,3,5]=>([(0,4),(1,2),(2,3),(3,4)],5)=>0
[4,1,2,5,3]=>([(0,4),(1,2),(2,3),(2,4)],5)=>0
[4,1,3,2,5]=>([(0,4),(1,2),(1,3),(2,4),(3,4)],5)=>1
[4,1,3,5,2]=>([(0,4),(1,2),(1,3),(3,4)],5)=>1
[4,1,5,2,3]=>([(0,4),(1,2),(1,4),(2,3)],5)=>0
[4,1,5,3,2]=>([(0,4),(1,2),(1,3),(1,4)],5)=>2
[4,2,1,3,5]=>([(0,4),(1,3),(2,3),(3,4)],5)=>1
[4,2,1,5,3]=>([(0,4),(1,3),(1,4),(2,3),(2,4)],5)=>1
[4,2,3,1,5]=>([(0,4),(1,4),(2,3),(3,4)],5)=>2
[4,2,3,5,1]=>([(1,4),(2,3),(3,4)],5)=>2
[4,2,5,1,3]=>([(0,4),(1,3),(2,3),(2,4)],5)=>1
[4,2,5,3,1]=>([(1,4),(2,3),(2,4)],5)=>3
[4,3,1,2,5]=>([(0,4),(1,4),(2,3),(3,4)],5)=>2
[4,3,1,5,2]=>([(0,4),(1,4),(2,3),(2,4)],5)=>2
[4,3,2,1,5]=>([(0,4),(1,4),(2,4),(3,4)],5)=>4
[4,3,2,5,1]=>([(1,4),(2,4),(3,4)],5)=>4
[4,3,5,1,2]=>([(0,4),(1,4),(2,3)],5)=>2
[4,3,5,2,1]=>([(2,4),(3,4)],5)=>5
[4,5,1,2,3]=>([(0,3),(1,4),(4,2)],5)=>0
[4,5,1,3,2]=>([(0,4),(1,2),(1,3)],5)=>2
[4,5,2,1,3]=>([(0,4),(1,4),(2,3)],5)=>2
[4,5,2,3,1]=>([(1,4),(2,3)],5)=>4
[4,5,3,1,2]=>([(1,4),(2,3)],5)=>4
[4,5,3,2,1]=>([(3,4)],5)=>7
[5,1,2,3,4]=>([(1,4),(3,2),(4,3)],5)=>0
[5,1,2,4,3]=>([(1,4),(4,2),(4,3)],5)=>1
[5,1,3,2,4]=>([(1,2),(1,3),(2,4),(3,4)],5)=>1
[5,1,3,4,2]=>([(1,3),(1,4),(4,2)],5)=>2
[5,1,4,2,3]=>([(1,3),(1,4),(4,2)],5)=>2
[5,1,4,3,2]=>([(1,2),(1,3),(1,4)],5)=>4
[5,2,1,3,4]=>([(1,4),(2,4),(4,3)],5)=>1
[5,2,1,4,3]=>([(1,3),(1,4),(2,3),(2,4)],5)=>2
[5,2,3,1,4]=>([(1,4),(2,3),(3,4)],5)=>2
[5,2,3,4,1]=>([(2,3),(3,4)],5)=>3
[5,2,4,1,3]=>([(1,4),(2,3),(2,4)],5)=>3
[5,2,4,3,1]=>([(2,3),(2,4)],5)=>5
[5,3,1,2,4]=>([(1,4),(2,3),(3,4)],5)=>2
[5,3,1,4,2]=>([(1,4),(2,3),(2,4)],5)=>3
[5,3,2,1,4]=>([(1,4),(2,4),(3,4)],5)=>4
[5,3,2,4,1]=>([(2,4),(3,4)],5)=>5
[5,3,4,1,2]=>([(1,4),(2,3)],5)=>4
[5,3,4,2,1]=>([(3,4)],5)=>7
[5,4,1,2,3]=>([(2,3),(3,4)],5)=>3
[5,4,1,3,2]=>([(2,3),(2,4)],5)=>5
[5,4,2,1,3]=>([(2,4),(3,4)],5)=>5
[5,4,2,3,1]=>([(3,4)],5)=>7
[5,4,3,1,2]=>([(3,4)],5)=>7
[5,4,3,2,1]=>([],5)=>10
[1,2,3,4,5,6]=>([(0,5),(2,4),(3,2),(4,1),(5,3)],6)=>0
[1,2,3,4,6,5]=>([(0,4),(3,5),(4,3),(5,1),(5,2)],6)=>0
[1,2,3,5,4,6]=>([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6)=>0
[1,2,3,5,6,4]=>([(0,4),(3,2),(4,5),(5,1),(5,3)],6)=>0
[1,2,3,6,4,5]=>([(0,4),(3,2),(4,5),(5,1),(5,3)],6)=>0
[1,2,3,6,5,4]=>([(0,4),(4,5),(5,1),(5,2),(5,3)],6)=>1
[1,2,4,3,5,6]=>([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6)=>0
[1,2,4,3,6,5]=>([(0,3),(1,4),(1,5),(2,4),(2,5),(3,1),(3,2)],6)=>0
[1,2,4,5,3,6]=>([(0,4),(1,5),(2,5),(3,2),(4,1),(4,3)],6)=>0
[1,2,4,5,6,3]=>([(0,5),(3,4),(4,2),(5,1),(5,3)],6)=>0
[1,2,4,6,3,5]=>([(0,4),(2,5),(3,1),(3,5),(4,2),(4,3)],6)=>0
[1,2,4,6,5,3]=>([(0,5),(4,2),(4,3),(5,1),(5,4)],6)=>1
[1,2,5,3,4,6]=>([(0,4),(1,5),(2,5),(3,2),(4,1),(4,3)],6)=>0
[1,2,5,3,6,4]=>([(0,4),(2,5),(3,1),(3,5),(4,2),(4,3)],6)=>0
[1,2,5,4,3,6]=>([(0,4),(1,5),(2,5),(3,5),(4,1),(4,2),(4,3)],6)=>1
[1,2,5,4,6,3]=>([(0,4),(2,5),(3,5),(4,1),(4,2),(4,3)],6)=>1
[1,2,5,6,3,4]=>([(0,5),(3,2),(4,1),(5,3),(5,4)],6)=>0
[1,2,5,6,4,3]=>([(0,5),(4,3),(5,1),(5,2),(5,4)],6)=>2
[1,2,6,3,4,5]=>([(0,5),(3,4),(4,2),(5,1),(5,3)],6)=>0
[1,2,6,3,5,4]=>([(0,5),(4,2),(4,3),(5,1),(5,4)],6)=>1
[1,2,6,4,3,5]=>([(0,4),(2,5),(3,5),(4,1),(4,2),(4,3)],6)=>1
[1,2,6,4,5,3]=>([(0,5),(4,3),(5,1),(5,2),(5,4)],6)=>2
[1,2,6,5,3,4]=>([(0,5),(4,3),(5,1),(5,2),(5,4)],6)=>2
[1,2,6,5,4,3]=>([(0,5),(5,1),(5,2),(5,3),(5,4)],6)=>4
[1,3,2,4,5,6]=>([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6)=>0
[1,3,2,4,6,5]=>([(0,3),(0,4),(3,5),(4,5),(5,1),(5,2)],6)=>0
[1,3,2,5,4,6]=>([(0,1),(0,2),(1,4),(1,5),(2,4),(2,5),(4,3),(5,3)],6)=>0
[1,3,2,5,6,4]=>([(0,2),(0,3),(2,4),(2,5),(3,4),(3,5),(5,1)],6)=>0
[1,3,2,6,4,5]=>([(0,2),(0,3),(2,4),(2,5),(3,4),(3,5),(5,1)],6)=>0
[1,3,2,6,5,4]=>([(0,1),(0,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6)=>1
[1,3,4,2,5,6]=>([(0,3),(0,4),(1,5),(3,5),(4,1),(5,2)],6)=>0
[1,3,4,2,6,5]=>([(0,2),(0,3),(1,4),(1,5),(2,4),(2,5),(3,1)],6)=>0
[1,3,4,5,2,6]=>([(0,2),(0,4),(1,5),(2,5),(3,1),(4,3)],6)=>0
[1,3,4,5,6,2]=>([(0,2),(0,5),(3,4),(4,1),(5,3)],6)=>0
[1,3,4,6,2,5]=>([(0,2),(0,4),(2,5),(3,1),(3,5),(4,3)],6)=>0
[1,3,4,6,5,2]=>([(0,3),(0,4),(4,5),(5,1),(5,2)],6)=>1
[1,3,5,2,4,6]=>([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)=>0
[1,3,5,2,6,4]=>([(0,2),(0,3),(1,4),(2,4),(2,5),(3,1),(3,5)],6)=>0
[1,3,5,4,2,6]=>([(0,3),(0,4),(1,5),(2,5),(3,5),(4,1),(4,2)],6)=>1
[1,3,5,4,6,2]=>([(0,3),(0,4),(1,5),(2,5),(4,1),(4,2)],6)=>1
[1,3,5,6,2,4]=>([(0,2),(0,4),(2,5),(3,1),(4,3),(4,5)],6)=>0
[1,3,5,6,4,2]=>([(0,3),(0,5),(4,2),(5,1),(5,4)],6)=>2
[1,3,6,2,4,5]=>([(0,3),(0,4),(3,5),(4,1),(4,5),(5,2)],6)=>0
[1,3,6,2,5,4]=>([(0,2),(0,3),(2,4),(2,5),(3,1),(3,4),(3,5)],6)=>1
[1,3,6,4,2,5]=>([(0,3),(0,4),(2,5),(3,5),(4,1),(4,2)],6)=>1
[1,3,6,4,5,2]=>([(0,3),(0,5),(4,2),(5,1),(5,4)],6)=>2
[1,3,6,5,2,4]=>([(0,3),(0,4),(3,5),(4,1),(4,2),(4,5)],6)=>2
[1,3,6,5,4,2]=>([(0,4),(0,5),(5,1),(5,2),(5,3)],6)=>4
[1,4,2,3,5,6]=>([(0,3),(0,4),(1,5),(3,5),(4,1),(5,2)],6)=>0
[1,4,2,3,6,5]=>([(0,2),(0,3),(1,4),(1,5),(2,4),(2,5),(3,1)],6)=>0
[1,4,2,5,3,6]=>([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)=>0
[1,4,2,5,6,3]=>([(0,3),(0,4),(3,5),(4,1),(4,5),(5,2)],6)=>0
[1,4,2,6,3,5]=>([(0,2),(0,3),(1,4),(2,4),(2,5),(3,1),(3,5)],6)=>0
[1,4,2,6,5,3]=>([(0,2),(0,3),(2,4),(2,5),(3,1),(3,4),(3,5)],6)=>1
[1,4,3,2,5,6]=>([(0,2),(0,3),(0,4),(2,5),(3,5),(4,5),(5,1)],6)=>1
[1,4,3,2,6,5]=>([(0,1),(0,2),(0,3),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6)=>1
[1,4,3,5,2,6]=>([(0,1),(0,2),(0,3),(1,5),(2,4),(3,4),(4,5)],6)=>1
[1,4,3,5,6,2]=>([(0,2),(0,3),(0,4),(3,5),(4,5),(5,1)],6)=>1
[1,4,3,6,2,5]=>([(0,1),(0,2),(0,3),(1,5),(2,4),(2,5),(3,4),(3,5)],6)=>1
[1,4,3,6,5,2]=>([(0,1),(0,2),(0,3),(2,4),(2,5),(3,4),(3,5)],6)=>2
[1,4,5,2,3,6]=>([(0,3),(0,4),(1,5),(2,5),(3,2),(4,1)],6)=>0
[1,4,5,2,6,3]=>([(0,3),(0,4),(2,5),(3,2),(4,1),(4,5)],6)=>0
[1,4,5,3,2,6]=>([(0,2),(0,3),(0,4),(1,5),(2,5),(3,5),(4,1)],6)=>2
[1,4,5,3,6,2]=>([(0,2),(0,3),(0,4),(1,5),(3,5),(4,1)],6)=>2
[1,4,5,6,2,3]=>([(0,4),(0,5),(3,2),(4,3),(5,1)],6)=>0
[1,4,5,6,3,2]=>([(0,2),(0,3),(0,5),(4,1),(5,4)],6)=>3
[1,4,6,2,3,5]=>([(0,3),(0,4),(2,5),(3,2),(4,1),(4,5)],6)=>0
[1,4,6,2,5,3]=>([(0,3),(0,4),(3,2),(3,5),(4,1),(4,5)],6)=>1
[1,4,6,3,2,5]=>([(0,2),(0,3),(0,4),(2,5),(3,5),(4,1),(4,5)],6)=>2
[1,4,6,3,5,2]=>([(0,2),(0,3),(0,4),(3,5),(4,1),(4,5)],6)=>3
[1,4,6,5,2,3]=>([(0,4),(0,5),(4,3),(5,1),(5,2)],6)=>2
[1,4,6,5,3,2]=>([(0,3),(0,4),(0,5),(5,1),(5,2)],6)=>5
[1,5,2,3,4,6]=>([(0,2),(0,4),(1,5),(2,5),(3,1),(4,3)],6)=>0
[1,5,2,3,6,4]=>([(0,2),(0,4),(2,5),(3,1),(3,5),(4,3)],6)=>0
[1,5,2,4,3,6]=>([(0,3),(0,4),(1,5),(2,5),(3,5),(4,1),(4,2)],6)=>1
[1,5,2,4,6,3]=>([(0,3),(0,4),(2,5),(3,5),(4,1),(4,2)],6)=>1
[1,5,2,6,3,4]=>([(0,2),(0,4),(2,5),(3,1),(4,3),(4,5)],6)=>0
[1,5,2,6,4,3]=>([(0,3),(0,4),(3,5),(4,1),(4,2),(4,5)],6)=>2
[1,5,3,2,4,6]=>([(0,1),(0,2),(0,3),(1,5),(2,4),(3,4),(4,5)],6)=>1
[1,5,3,2,6,4]=>([(0,1),(0,2),(0,3),(1,5),(2,4),(2,5),(3,4),(3,5)],6)=>1
[1,5,3,4,2,6]=>([(0,2),(0,3),(0,4),(1,5),(2,5),(3,5),(4,1)],6)=>2
[1,5,3,4,6,2]=>([(0,2),(0,3),(0,4),(1,5),(3,5),(4,1)],6)=>2
[1,5,3,6,2,4]=>([(0,1),(0,2),(0,3),(1,5),(2,4),(3,4),(3,5)],6)=>1
[1,5,3,6,4,2]=>([(0,2),(0,3),(0,4),(3,5),(4,1),(4,5)],6)=>3
[1,5,4,2,3,6]=>([(0,2),(0,3),(0,4),(1,5),(2,5),(3,5),(4,1)],6)=>2
[1,5,4,2,6,3]=>([(0,2),(0,3),(0,4),(2,5),(3,5),(4,1),(4,5)],6)=>2
[1,5,4,3,2,6]=>([(0,1),(0,2),(0,3),(0,4),(1,5),(2,5),(3,5),(4,5)],6)=>4
[1,5,4,3,6,2]=>([(0,1),(0,2),(0,3),(0,4),(2,5),(3,5),(4,5)],6)=>4
[1,5,4,6,2,3]=>([(0,2),(0,3),(0,4),(2,5),(3,5),(4,1)],6)=>2
[1,5,4,6,3,2]=>([(0,1),(0,2),(0,3),(0,4),(3,5),(4,5)],6)=>5
[1,5,6,2,3,4]=>([(0,4),(0,5),(3,2),(4,3),(5,1)],6)=>0
[1,5,6,2,4,3]=>([(0,4),(0,5),(4,3),(5,1),(5,2)],6)=>2
[1,5,6,3,2,4]=>([(0,2),(0,3),(0,4),(2,5),(3,5),(4,1)],6)=>2
[1,5,6,3,4,2]=>([(0,3),(0,4),(0,5),(4,2),(5,1)],6)=>4
[1,5,6,4,2,3]=>([(0,3),(0,4),(0,5),(4,2),(5,1)],6)=>4
[1,5,6,4,3,2]=>([(0,2),(0,3),(0,4),(0,5),(5,1)],6)=>7
[1,6,2,3,4,5]=>([(0,2),(0,5),(3,4),(4,1),(5,3)],6)=>0
[1,6,2,3,5,4]=>([(0,3),(0,4),(4,5),(5,1),(5,2)],6)=>1
[1,6,2,4,3,5]=>([(0,3),(0,4),(1,5),(2,5),(4,1),(4,2)],6)=>1
[1,6,2,4,5,3]=>([(0,3),(0,5),(4,2),(5,1),(5,4)],6)=>2
[1,6,2,5,3,4]=>([(0,3),(0,5),(4,2),(5,1),(5,4)],6)=>2
[1,6,2,5,4,3]=>([(0,4),(0,5),(5,1),(5,2),(5,3)],6)=>4
[1,6,3,2,4,5]=>([(0,2),(0,3),(0,4),(3,5),(4,5),(5,1)],6)=>1
[1,6,3,2,5,4]=>([(0,1),(0,2),(0,3),(2,4),(2,5),(3,4),(3,5)],6)=>2
[1,6,3,4,2,5]=>([(0,2),(0,3),(0,4),(1,5),(3,5),(4,1)],6)=>2
[1,6,3,4,5,2]=>([(0,2),(0,3),(0,5),(4,1),(5,4)],6)=>3
[1,6,3,5,2,4]=>([(0,2),(0,3),(0,4),(3,5),(4,1),(4,5)],6)=>3
[1,6,3,5,4,2]=>([(0,3),(0,4),(0,5),(5,1),(5,2)],6)=>5
[1,6,4,2,3,5]=>([(0,2),(0,3),(0,4),(1,5),(3,5),(4,1)],6)=>2
[1,6,4,2,5,3]=>([(0,2),(0,3),(0,4),(3,5),(4,1),(4,5)],6)=>3
[1,6,4,3,2,5]=>([(0,1),(0,2),(0,3),(0,4),(2,5),(3,5),(4,5)],6)=>4
[1,6,4,3,5,2]=>([(0,1),(0,2),(0,3),(0,4),(3,5),(4,5)],6)=>5
[1,6,4,5,2,3]=>([(0,3),(0,4),(0,5),(4,2),(5,1)],6)=>4
[1,6,4,5,3,2]=>([(0,2),(0,3),(0,4),(0,5),(5,1)],6)=>7
[1,6,5,2,3,4]=>([(0,2),(0,3),(0,5),(4,1),(5,4)],6)=>3
[1,6,5,2,4,3]=>([(0,3),(0,4),(0,5),(5,1),(5,2)],6)=>5
[1,6,5,3,2,4]=>([(0,1),(0,2),(0,3),(0,4),(3,5),(4,5)],6)=>5
[1,6,5,3,4,2]=>([(0,2),(0,3),(0,4),(0,5),(5,1)],6)=>7
[1,6,5,4,2,3]=>([(0,2),(0,3),(0,4),(0,5),(5,1)],6)=>7
[1,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5)],6)=>10
[2,1,3,4,5,6]=>([(0,5),(1,5),(3,2),(4,3),(5,4)],6)=>0
[2,1,3,4,6,5]=>([(0,5),(1,5),(4,2),(4,3),(5,4)],6)=>0
[2,1,3,5,4,6]=>([(0,4),(1,4),(2,5),(3,5),(4,2),(4,3)],6)=>0
[2,1,3,5,6,4]=>([(0,5),(1,5),(4,2),(5,3),(5,4)],6)=>0
[2,1,3,6,4,5]=>([(0,5),(1,5),(4,2),(5,3),(5,4)],6)=>0
[2,1,3,6,5,4]=>([(0,5),(1,5),(5,2),(5,3),(5,4)],6)=>1
[2,1,4,3,5,6]=>([(0,4),(0,5),(1,4),(1,5),(3,2),(4,3),(5,3)],6)=>0
[2,1,4,3,6,5]=>([(0,4),(0,5),(1,4),(1,5),(4,2),(4,3),(5,2),(5,3)],6)=>0
[2,1,4,5,3,6]=>([(0,4),(0,5),(1,4),(1,5),(2,3),(4,2),(5,3)],6)=>0
[2,1,4,5,6,3]=>([(0,4),(0,5),(1,4),(1,5),(2,3),(5,2)],6)=>0
[2,1,4,6,3,5]=>([(0,4),(0,5),(1,4),(1,5),(4,3),(5,2),(5,3)],6)=>0
[2,1,4,6,5,3]=>([(0,4),(0,5),(1,4),(1,5),(5,2),(5,3)],6)=>1
[2,1,5,3,4,6]=>([(0,4),(0,5),(1,4),(1,5),(2,3),(4,2),(5,3)],6)=>0
[2,1,5,3,6,4]=>([(0,4),(0,5),(1,4),(1,5),(4,3),(5,2),(5,3)],6)=>0
[2,1,5,4,3,6]=>([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,5),(3,5),(4,5)],6)=>1
[2,1,5,4,6,3]=>([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(4,2),(5,2)],6)=>1
[2,1,5,6,3,4]=>([(0,4),(0,5),(1,4),(1,5),(4,3),(5,2)],6)=>0
[2,1,5,6,4,3]=>([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(5,2)],6)=>2
[2,1,6,3,4,5]=>([(0,4),(0,5),(1,4),(1,5),(2,3),(5,2)],6)=>0
[2,1,6,3,5,4]=>([(0,4),(0,5),(1,4),(1,5),(5,2),(5,3)],6)=>1
[2,1,6,4,3,5]=>([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(4,2),(5,2)],6)=>1
[2,1,6,4,5,3]=>([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(5,2)],6)=>2
[2,1,6,5,3,4]=>([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(5,2)],6)=>2
[2,1,6,5,4,3]=>([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5)],6)=>4
[2,3,1,4,5,6]=>([(0,5),(1,3),(3,5),(4,2),(5,4)],6)=>0
[2,3,1,4,6,5]=>([(0,5),(1,2),(2,5),(5,3),(5,4)],6)=>0
[2,3,1,5,4,6]=>([(0,2),(1,4),(1,5),(2,4),(2,5),(4,3),(5,3)],6)=>0
[2,3,1,5,6,4]=>([(0,4),(0,5),(1,3),(3,4),(3,5),(5,2)],6)=>0
[2,3,1,6,4,5]=>([(0,4),(0,5),(1,3),(3,4),(3,5),(5,2)],6)=>0
[2,3,1,6,5,4]=>([(0,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6)=>1
[2,3,4,1,5,6]=>([(0,5),(1,4),(2,5),(4,2),(5,3)],6)=>0
[2,3,4,1,6,5]=>([(0,4),(0,5),(1,2),(2,3),(3,4),(3,5)],6)=>0
[2,3,4,5,1,6]=>([(0,5),(1,4),(2,5),(3,2),(4,3)],6)=>0
[2,3,4,5,6,1]=>([(1,5),(3,4),(4,2),(5,3)],6)=>0
[2,3,4,6,1,5]=>([(0,5),(1,3),(3,4),(4,2),(4,5)],6)=>0
[2,3,4,6,5,1]=>([(1,4),(4,5),(5,2),(5,3)],6)=>1
[2,3,5,1,4,6]=>([(0,5),(1,2),(2,3),(2,5),(3,4),(5,4)],6)=>0
[2,3,5,1,6,4]=>([(0,4),(0,5),(1,2),(2,3),(2,5),(3,4)],6)=>0
[2,3,5,4,1,6]=>([(0,5),(1,4),(2,5),(3,5),(4,2),(4,3)],6)=>1
[2,3,5,4,6,1]=>([(1,4),(2,5),(3,5),(4,2),(4,3)],6)=>1
[2,3,5,6,1,4]=>([(0,5),(1,4),(3,2),(4,3),(4,5)],6)=>0
[2,3,5,6,4,1]=>([(1,5),(4,3),(5,2),(5,4)],6)=>2
[2,3,6,1,4,5]=>([(0,5),(1,4),(4,2),(4,5),(5,3)],6)=>0
[2,3,6,1,5,4]=>([(0,4),(0,5),(1,2),(2,3),(2,4),(2,5)],6)=>1
[2,3,6,4,1,5]=>([(0,5),(1,4),(3,5),(4,2),(4,3)],6)=>1
[2,3,6,4,5,1]=>([(1,5),(4,3),(5,2),(5,4)],6)=>2
[2,3,6,5,1,4]=>([(0,5),(1,4),(4,2),(4,3),(4,5)],6)=>2
[2,3,6,5,4,1]=>([(1,5),(5,2),(5,3),(5,4)],6)=>4
[2,4,1,3,5,6]=>([(0,4),(1,2),(1,4),(2,5),(4,5),(5,3)],6)=>0
[2,4,1,3,6,5]=>([(0,5),(1,2),(1,5),(2,3),(2,4),(5,3),(5,4)],6)=>0
[2,4,1,5,3,6]=>([(0,2),(0,5),(1,4),(1,5),(2,4),(4,3),(5,3)],6)=>0
[2,4,1,5,6,3]=>([(0,4),(0,5),(1,2),(1,4),(2,5),(5,3)],6)=>0
[2,4,1,6,3,5]=>([(0,2),(0,5),(1,4),(1,5),(2,3),(2,4),(5,3)],6)=>0
[2,4,1,6,5,3]=>([(0,2),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4)],6)=>1
[2,4,3,1,5,6]=>([(0,5),(1,2),(1,3),(2,5),(3,5),(5,4)],6)=>1
[2,4,3,1,6,5]=>([(0,4),(0,5),(1,2),(1,3),(2,4),(2,5),(3,4),(3,5)],6)=>1
[2,4,3,5,1,6]=>([(0,4),(1,2),(1,3),(2,5),(3,5),(5,4)],6)=>1
[2,4,3,5,6,1]=>([(1,2),(1,3),(2,5),(3,5),(5,4)],6)=>1
[2,4,3,6,1,5]=>([(0,5),(1,2),(1,3),(2,4),(2,5),(3,4),(3,5)],6)=>1
[2,4,3,6,5,1]=>([(1,2),(1,3),(2,4),(2,5),(3,4),(3,5)],6)=>2
[2,4,5,1,3,6]=>([(0,4),(1,2),(1,4),(2,3),(3,5),(4,5)],6)=>0
[2,4,5,1,6,3]=>([(0,4),(0,5),(1,2),(1,4),(2,3),(3,5)],6)=>0
[2,4,5,3,1,6]=>([(0,5),(1,3),(1,4),(2,5),(3,5),(4,2)],6)=>2
[2,4,5,3,6,1]=>([(1,3),(1,4),(2,5),(3,5),(4,2)],6)=>2
[2,4,5,6,1,3]=>([(0,5),(1,4),(1,5),(3,2),(4,3)],6)=>0
[2,4,5,6,3,1]=>([(1,3),(1,5),(4,2),(5,4)],6)=>3
[2,4,6,1,3,5]=>([(0,4),(1,2),(1,4),(2,3),(2,5),(4,5)],6)=>0
[2,4,6,1,5,3]=>([(0,4),(0,5),(1,2),(1,4),(2,3),(2,5)],6)=>1
[2,4,6,3,1,5]=>([(0,5),(1,3),(1,4),(3,5),(4,2),(4,5)],6)=>2
[2,4,6,3,5,1]=>([(1,3),(1,4),(3,5),(4,2),(4,5)],6)=>3
[2,4,6,5,1,3]=>([(0,5),(1,4),(1,5),(4,2),(4,3)],6)=>2
[2,4,6,5,3,1]=>([(1,4),(1,5),(5,2),(5,3)],6)=>5
[2,5,1,3,4,6]=>([(0,4),(1,2),(1,4),(2,5),(3,5),(4,3)],6)=>0
[2,5,1,3,6,4]=>([(0,4),(1,2),(1,4),(2,5),(4,3),(4,5)],6)=>0
[2,5,1,4,3,6]=>([(0,3),(0,4),(1,2),(1,3),(1,4),(2,5),(3,5),(4,5)],6)=>1
[2,5,1,4,6,3]=>([(0,4),(0,5),(1,2),(1,4),(1,5),(2,3),(5,3)],6)=>1
[2,5,1,6,3,4]=>([(0,4),(0,5),(1,2),(1,4),(2,5),(4,3)],6)=>0
[2,5,1,6,4,3]=>([(0,2),(0,4),(0,5),(1,3),(1,4),(1,5),(2,3)],6)=>2
[2,5,3,1,4,6]=>([(0,4),(1,2),(1,3),(2,5),(3,4),(4,5)],6)=>1
[2,5,3,1,6,4]=>([(0,4),(0,5),(1,2),(1,3),(2,5),(3,4),(3,5)],6)=>1
[2,5,3,4,1,6]=>([(0,5),(1,3),(1,4),(2,5),(3,5),(4,2)],6)=>2
[2,5,3,4,6,1]=>([(1,3),(1,4),(2,5),(3,5),(4,2)],6)=>2
[2,5,3,6,1,4]=>([(0,4),(1,2),(1,3),(2,5),(3,4),(3,5)],6)=>1
[2,5,3,6,4,1]=>([(1,3),(1,4),(3,5),(4,2),(4,5)],6)=>3
[2,5,4,1,3,6]=>([(0,4),(1,2),(1,3),(1,4),(2,5),(3,5),(4,5)],6)=>2
[2,5,4,1,6,3]=>([(0,4),(0,5),(1,2),(1,3),(1,4),(2,5),(3,5)],6)=>2
[2,5,4,3,1,6]=>([(0,5),(1,2),(1,3),(1,4),(2,5),(3,5),(4,5)],6)=>4
[2,5,4,3,6,1]=>([(1,2),(1,3),(1,4),(2,5),(3,5),(4,5)],6)=>4
[2,5,4,6,1,3]=>([(0,4),(1,2),(1,3),(1,4),(2,5),(3,5)],6)=>2
[2,5,4,6,3,1]=>([(1,2),(1,3),(1,4),(3,5),(4,5)],6)=>5
[2,5,6,1,3,4]=>([(0,5),(1,4),(1,5),(4,2),(5,3)],6)=>0
[2,5,6,1,4,3]=>([(0,4),(0,5),(1,2),(1,4),(1,5),(2,3)],6)=>2
[2,5,6,3,1,4]=>([(0,5),(1,3),(1,4),(3,5),(4,2)],6)=>2
[2,5,6,3,4,1]=>([(1,4),(1,5),(4,3),(5,2)],6)=>4
[2,5,6,4,1,3]=>([(0,5),(1,3),(1,4),(1,5),(4,2)],6)=>4
[2,5,6,4,3,1]=>([(1,3),(1,4),(1,5),(5,2)],6)=>7
[2,6,1,3,4,5]=>([(0,5),(1,3),(1,5),(4,2),(5,4)],6)=>0
[2,6,1,3,5,4]=>([(0,5),(1,2),(1,5),(5,3),(5,4)],6)=>1
[2,6,1,4,3,5]=>([(0,4),(0,5),(1,2),(1,4),(1,5),(4,3),(5,3)],6)=>1
[2,6,1,4,5,3]=>([(0,4),(0,5),(1,3),(1,4),(1,5),(5,2)],6)=>2
[2,6,1,5,3,4]=>([(0,4),(0,5),(1,3),(1,4),(1,5),(5,2)],6)=>2
[2,6,1,5,4,3]=>([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5)],6)=>4
[2,6,3,1,4,5]=>([(0,5),(1,2),(1,3),(3,5),(5,4)],6)=>1
[2,6,3,1,5,4]=>([(0,4),(0,5),(1,2),(1,3),(3,4),(3,5)],6)=>2
[2,6,3,4,1,5]=>([(0,5),(1,2),(1,4),(3,5),(4,3)],6)=>2
[2,6,3,4,5,1]=>([(1,3),(1,5),(4,2),(5,4)],6)=>3
[2,6,3,5,1,4]=>([(0,5),(1,3),(1,4),(4,2),(4,5)],6)=>3
[2,6,3,5,4,1]=>([(1,4),(1,5),(5,2),(5,3)],6)=>5
[2,6,4,1,3,5]=>([(0,4),(1,2),(1,3),(1,4),(3,5),(4,5)],6)=>2
[2,6,4,1,5,3]=>([(0,4),(0,5),(1,2),(1,3),(1,4),(3,5)],6)=>3
[2,6,4,3,1,5]=>([(0,5),(1,2),(1,3),(1,4),(3,5),(4,5)],6)=>4
[2,6,4,3,5,1]=>([(1,2),(1,3),(1,4),(3,5),(4,5)],6)=>5
[2,6,4,5,1,3]=>([(0,5),(1,3),(1,4),(1,5),(4,2)],6)=>4
[2,6,4,5,3,1]=>([(1,3),(1,4),(1,5),(5,2)],6)=>7
[2,6,5,1,3,4]=>([(0,5),(1,2),(1,3),(1,5),(5,4)],6)=>3
[2,6,5,1,4,3]=>([(0,4),(0,5),(1,2),(1,3),(1,4),(1,5)],6)=>5
[2,6,5,3,1,4]=>([(0,5),(1,2),(1,3),(1,4),(4,5)],6)=>5
[2,6,5,3,4,1]=>([(1,3),(1,4),(1,5),(5,2)],6)=>7
[2,6,5,4,1,3]=>([(0,5),(1,2),(1,3),(1,4),(1,5)],6)=>7
[2,6,5,4,3,1]=>([(1,2),(1,3),(1,4),(1,5)],6)=>10
[3,1,2,4,5,6]=>([(0,5),(1,3),(3,5),(4,2),(5,4)],6)=>0
[3,1,2,4,6,5]=>([(0,5),(1,2),(2,5),(5,3),(5,4)],6)=>0
[3,1,2,5,4,6]=>([(0,2),(1,4),(1,5),(2,4),(2,5),(4,3),(5,3)],6)=>0
[3,1,2,5,6,4]=>([(0,4),(0,5),(1,3),(3,4),(3,5),(5,2)],6)=>0
[3,1,2,6,4,5]=>([(0,4),(0,5),(1,3),(3,4),(3,5),(5,2)],6)=>0
[3,1,2,6,5,4]=>([(0,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6)=>1
[3,1,4,2,5,6]=>([(0,4),(1,2),(1,4),(2,5),(4,5),(5,3)],6)=>0
[3,1,4,2,6,5]=>([(0,5),(1,2),(1,5),(2,3),(2,4),(5,3),(5,4)],6)=>0
[3,1,4,5,2,6]=>([(0,4),(1,2),(1,4),(2,5),(3,5),(4,3)],6)=>0
[3,1,4,5,6,2]=>([(0,5),(1,3),(1,5),(4,2),(5,4)],6)=>0
[3,1,4,6,2,5]=>([(0,4),(1,2),(1,4),(2,5),(4,3),(4,5)],6)=>0
[3,1,4,6,5,2]=>([(0,5),(1,2),(1,5),(5,3),(5,4)],6)=>1
[3,1,5,2,4,6]=>([(0,2),(0,5),(1,4),(1,5),(2,4),(4,3),(5,3)],6)=>0
[3,1,5,2,6,4]=>([(0,2),(0,5),(1,4),(1,5),(2,3),(2,4),(5,3)],6)=>0
[3,1,5,4,2,6]=>([(0,3),(0,4),(1,2),(1,3),(1,4),(2,5),(3,5),(4,5)],6)=>1
[3,1,5,4,6,2]=>([(0,4),(0,5),(1,2),(1,4),(1,5),(4,3),(5,3)],6)=>1
[3,1,5,6,2,4]=>([(0,4),(0,5),(1,2),(1,4),(2,5),(4,3)],6)=>0
[3,1,5,6,4,2]=>([(0,4),(0,5),(1,3),(1,4),(1,5),(5,2)],6)=>2
[3,1,6,2,4,5]=>([(0,4),(0,5),(1,2),(1,4),(2,5),(5,3)],6)=>0
[3,1,6,2,5,4]=>([(0,2),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4)],6)=>1
[3,1,6,4,2,5]=>([(0,4),(0,5),(1,2),(1,4),(1,5),(2,3),(5,3)],6)=>1
[3,1,6,4,5,2]=>([(0,4),(0,5),(1,3),(1,4),(1,5),(5,2)],6)=>2
[3,1,6,5,2,4]=>([(0,2),(0,4),(0,5),(1,3),(1,4),(1,5),(2,3)],6)=>2
[3,1,6,5,4,2]=>([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5)],6)=>4
[3,2,1,4,5,6]=>([(0,5),(1,5),(2,5),(3,4),(5,3)],6)=>1
[3,2,1,4,6,5]=>([(0,5),(1,5),(2,5),(5,3),(5,4)],6)=>1
[3,2,1,5,4,6]=>([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(4,3),(5,3)],6)=>1
[3,2,1,5,6,4]=>([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(5,3)],6)=>1
[3,2,1,6,4,5]=>([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(5,3)],6)=>1
[3,2,1,6,5,4]=>([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6)=>2
[3,2,4,1,5,6]=>([(0,5),(1,4),(2,4),(4,5),(5,3)],6)=>1
[3,2,4,1,6,5]=>([(0,3),(1,3),(2,4),(2,5),(3,4),(3,5)],6)=>1
[3,2,4,5,1,6]=>([(0,5),(1,4),(2,4),(3,5),(4,3)],6)=>1
[3,2,4,5,6,1]=>([(1,5),(2,5),(3,4),(5,3)],6)=>1
[3,2,4,6,1,5]=>([(0,5),(1,5),(2,4),(5,3),(5,4)],6)=>1
[3,2,4,6,5,1]=>([(1,5),(2,5),(5,3),(5,4)],6)=>2
[3,2,5,1,4,6]=>([(0,5),(1,3),(1,5),(2,3),(2,5),(3,4),(5,4)],6)=>1
[3,2,5,1,6,4]=>([(0,4),(0,5),(1,3),(1,5),(2,3),(2,5),(3,4)],6)=>1
[3,2,5,4,1,6]=>([(0,5),(1,3),(1,4),(2,3),(2,4),(3,5),(4,5)],6)=>2
[3,2,5,4,6,1]=>([(1,3),(1,4),(2,3),(2,4),(3,5),(4,5)],6)=>2
[3,2,5,6,1,4]=>([(0,5),(1,4),(1,5),(2,4),(2,5),(4,3)],6)=>1
[3,2,5,6,4,1]=>([(1,4),(1,5),(2,4),(2,5),(5,3)],6)=>3
[3,2,6,1,4,5]=>([(0,5),(1,4),(1,5),(2,4),(2,5),(5,3)],6)=>1
[3,2,6,1,5,4]=>([(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6)=>2
[3,2,6,4,1,5]=>([(0,5),(1,3),(1,4),(2,3),(2,4),(4,5)],6)=>2
[3,2,6,4,5,1]=>([(1,4),(1,5),(2,4),(2,5),(5,3)],6)=>3
[3,2,6,5,1,4]=>([(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6)=>3
[3,2,6,5,4,1]=>([(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6)=>5
[3,4,1,2,5,6]=>([(0,4),(1,3),(3,5),(4,5),(5,2)],6)=>0
[3,4,1,2,6,5]=>([(0,3),(1,2),(2,4),(2,5),(3,4),(3,5)],6)=>0
[3,4,1,5,2,6]=>([(0,3),(1,2),(1,4),(2,5),(3,4),(4,5)],6)=>0
[3,4,1,5,6,2]=>([(0,4),(1,3),(1,5),(4,5),(5,2)],6)=>0
[3,4,1,6,2,5]=>([(0,3),(1,2),(1,4),(2,5),(3,4),(3,5)],6)=>0
[3,4,1,6,5,2]=>([(0,3),(1,2),(1,4),(1,5),(3,4),(3,5)],6)=>1
[3,4,2,1,5,6]=>([(0,5),(1,5),(2,3),(3,5),(5,4)],6)=>2
[3,4,2,1,6,5]=>([(0,4),(0,5),(1,4),(1,5),(2,3),(3,4),(3,5)],6)=>2
[3,4,2,5,1,6]=>([(0,5),(1,4),(2,3),(3,5),(5,4)],6)=>2
[3,4,2,5,6,1]=>([(1,5),(2,3),(3,5),(5,4)],6)=>2
[3,4,2,6,1,5]=>([(0,5),(1,4),(1,5),(2,3),(3,4),(3,5)],6)=>2
[3,4,2,6,5,1]=>([(1,4),(1,5),(2,3),(3,4),(3,5)],6)=>3
[3,4,5,1,2,6]=>([(0,3),(1,4),(2,5),(3,5),(4,2)],6)=>0
[3,4,5,1,6,2]=>([(0,4),(1,3),(1,5),(2,5),(4,2)],6)=>0
[3,4,5,2,1,6]=>([(0,5),(1,5),(2,3),(3,4),(4,5)],6)=>3
[3,4,5,2,6,1]=>([(1,5),(2,3),(3,4),(4,5)],6)=>3
[3,4,5,6,1,2]=>([(0,5),(1,3),(4,2),(5,4)],6)=>0
[3,4,5,6,2,1]=>([(2,3),(3,5),(5,4)],6)=>4
[3,4,6,1,2,5]=>([(0,3),(1,4),(3,5),(4,2),(4,5)],6)=>0
[3,4,6,1,5,2]=>([(0,4),(1,3),(1,5),(4,2),(4,5)],6)=>1
[3,4,6,2,1,5]=>([(0,5),(1,5),(2,3),(3,4),(3,5)],6)=>3
[3,4,6,2,5,1]=>([(1,5),(2,3),(3,4),(3,5)],6)=>4
[3,4,6,5,1,2]=>([(0,4),(1,5),(5,2),(5,3)],6)=>2
[3,4,6,5,2,1]=>([(2,3),(3,4),(3,5)],6)=>6
[3,5,1,2,4,6]=>([(0,3),(1,2),(1,4),(2,5),(3,4),(4,5)],6)=>0
[3,5,1,2,6,4]=>([(0,3),(1,2),(1,4),(2,5),(3,4),(3,5)],6)=>0
[3,5,1,4,2,6]=>([(0,3),(0,4),(1,2),(1,4),(2,5),(3,5),(4,5)],6)=>1
[3,5,1,4,6,2]=>([(0,2),(0,4),(1,3),(1,4),(3,5),(4,5)],6)=>1
[3,5,1,6,2,4]=>([(0,3),(0,5),(1,2),(1,4),(2,5),(3,4)],6)=>0
[3,5,1,6,4,2]=>([(0,3),(0,4),(1,2),(1,4),(1,5),(3,5)],6)=>2
[3,5,2,1,4,6]=>([(0,5),(1,5),(2,3),(2,5),(3,4),(5,4)],6)=>2
[3,5,2,1,6,4]=>([(0,4),(0,5),(1,4),(1,5),(2,3),(2,4),(3,5)],6)=>2
[3,5,2,4,1,6]=>([(0,5),(1,4),(2,3),(2,4),(3,5),(4,5)],6)=>3
[3,5,2,4,6,1]=>([(1,4),(2,3),(2,4),(3,5),(4,5)],6)=>3
[3,5,2,6,1,4]=>([(0,5),(1,4),(1,5),(2,3),(2,5),(3,4)],6)=>2
[3,5,2,6,4,1]=>([(1,4),(1,5),(2,3),(2,4),(3,5)],6)=>4
[3,5,4,1,2,6]=>([(0,4),(1,2),(1,3),(2,5),(3,5),(4,5)],6)=>2
[3,5,4,1,6,2]=>([(0,4),(0,5),(1,2),(1,3),(2,5),(3,5)],6)=>2
[3,5,4,2,1,6]=>([(0,5),(1,5),(2,3),(2,4),(3,5),(4,5)],6)=>5
[3,5,4,2,6,1]=>([(1,5),(2,3),(2,4),(3,5),(4,5)],6)=>5
[3,5,4,6,1,2]=>([(0,4),(1,2),(1,3),(2,5),(3,5)],6)=>2
[3,5,4,6,2,1]=>([(2,3),(2,4),(3,5),(4,5)],6)=>6
[3,5,6,1,2,4]=>([(0,3),(1,4),(1,5),(3,5),(4,2)],6)=>0
[3,5,6,1,4,2]=>([(0,3),(0,5),(1,4),(1,5),(4,2)],6)=>2
[3,5,6,2,1,4]=>([(0,5),(1,5),(2,3),(2,5),(3,4)],6)=>3
[3,5,6,2,4,1]=>([(1,5),(2,3),(2,5),(3,4)],6)=>5
[3,5,6,4,1,2]=>([(0,4),(1,3),(1,5),(5,2)],6)=>4
[3,5,6,4,2,1]=>([(2,3),(2,4),(4,5)],6)=>8
[3,6,1,2,4,5]=>([(0,4),(1,3),(1,5),(4,5),(5,2)],6)=>0
[3,6,1,2,5,4]=>([(0,3),(1,2),(1,4),(1,5),(3,4),(3,5)],6)=>1
[3,6,1,4,2,5]=>([(0,2),(0,4),(1,3),(1,4),(3,5),(4,5)],6)=>1
[3,6,1,4,5,2]=>([(0,4),(0,5),(1,3),(1,5),(5,2)],6)=>2
[3,6,1,5,2,4]=>([(0,3),(0,4),(1,2),(1,4),(1,5),(3,5)],6)=>2
[3,6,1,5,4,2]=>([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5)],6)=>4
[3,6,2,1,4,5]=>([(0,5),(1,5),(2,3),(2,5),(5,4)],6)=>2
[3,6,2,1,5,4]=>([(0,4),(0,5),(1,4),(1,5),(2,3),(2,4),(2,5)],6)=>3
[3,6,2,4,1,5]=>([(0,5),(1,4),(2,3),(2,4),(4,5)],6)=>3
[3,6,2,4,5,1]=>([(1,5),(2,3),(2,5),(5,4)],6)=>4
[3,6,2,5,1,4]=>([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5)],6)=>4
[3,6,2,5,4,1]=>([(1,4),(1,5),(2,3),(2,4),(2,5)],6)=>6
[3,6,4,1,2,5]=>([(0,4),(1,2),(1,3),(3,5),(4,5)],6)=>2
[3,6,4,1,5,2]=>([(0,4),(0,5),(1,2),(1,3),(3,5)],6)=>3
[3,6,4,2,1,5]=>([(0,5),(1,5),(2,3),(2,4),(4,5)],6)=>5
[3,6,4,2,5,1]=>([(1,5),(2,3),(2,4),(4,5)],6)=>6
[3,6,4,5,1,2]=>([(0,4),(1,3),(1,5),(5,2)],6)=>4
[3,6,4,5,2,1]=>([(2,3),(2,4),(4,5)],6)=>8
[3,6,5,1,2,4]=>([(0,4),(1,2),(1,3),(1,5),(4,5)],6)=>3
[3,6,5,1,4,2]=>([(0,4),(0,5),(1,2),(1,3),(1,5)],6)=>5
[3,6,5,2,1,4]=>([(0,5),(1,5),(2,3),(2,4),(2,5)],6)=>6
[3,6,5,2,4,1]=>([(1,5),(2,3),(2,4),(2,5)],6)=>8
[3,6,5,4,1,2]=>([(0,5),(1,2),(1,3),(1,4)],6)=>7
[3,6,5,4,2,1]=>([(2,3),(2,4),(2,5)],6)=>11
[4,1,2,3,5,6]=>([(0,5),(1,4),(2,5),(4,2),(5,3)],6)=>0
[4,1,2,3,6,5]=>([(0,4),(0,5),(1,2),(2,3),(3,4),(3,5)],6)=>0
[4,1,2,5,3,6]=>([(0,5),(1,2),(2,3),(2,5),(3,4),(5,4)],6)=>0
[4,1,2,5,6,3]=>([(0,5),(1,4),(4,2),(4,5),(5,3)],6)=>0
[4,1,2,6,3,5]=>([(0,4),(0,5),(1,2),(2,3),(2,5),(3,4)],6)=>0
[4,1,2,6,5,3]=>([(0,4),(0,5),(1,2),(2,3),(2,4),(2,5)],6)=>1
[4,1,3,2,5,6]=>([(0,5),(1,2),(1,3),(2,5),(3,5),(5,4)],6)=>1
[4,1,3,2,6,5]=>([(0,4),(0,5),(1,2),(1,3),(2,4),(2,5),(3,4),(3,5)],6)=>1
[4,1,3,5,2,6]=>([(0,4),(1,2),(1,3),(2,5),(3,4),(4,5)],6)=>1
[4,1,3,5,6,2]=>([(0,5),(1,2),(1,3),(3,5),(5,4)],6)=>1
[4,1,3,6,2,5]=>([(0,4),(0,5),(1,2),(1,3),(2,5),(3,4),(3,5)],6)=>1
[4,1,3,6,5,2]=>([(0,4),(0,5),(1,2),(1,3),(3,4),(3,5)],6)=>2
[4,1,5,2,3,6]=>([(0,4),(1,2),(1,4),(2,3),(3,5),(4,5)],6)=>0
[4,1,5,2,6,3]=>([(0,4),(1,2),(1,4),(2,3),(2,5),(4,5)],6)=>0
[4,1,5,3,2,6]=>([(0,4),(1,2),(1,3),(1,4),(2,5),(3,5),(4,5)],6)=>2
[4,1,5,3,6,2]=>([(0,4),(1,2),(1,3),(1,4),(3,5),(4,5)],6)=>2
[4,1,5,6,2,3]=>([(0,5),(1,4),(1,5),(4,2),(5,3)],6)=>0
[4,1,5,6,3,2]=>([(0,5),(1,2),(1,3),(1,5),(5,4)],6)=>3
[4,1,6,2,3,5]=>([(0,4),(0,5),(1,2),(1,4),(2,3),(3,5)],6)=>0
[4,1,6,2,5,3]=>([(0,4),(0,5),(1,2),(1,4),(2,3),(2,5)],6)=>1
[4,1,6,3,2,5]=>([(0,4),(0,5),(1,2),(1,3),(1,4),(2,5),(3,5)],6)=>2
[4,1,6,3,5,2]=>([(0,4),(0,5),(1,2),(1,3),(1,4),(3,5)],6)=>3
[4,1,6,5,2,3]=>([(0,4),(0,5),(1,2),(1,4),(1,5),(2,3)],6)=>2
[4,1,6,5,3,2]=>([(0,4),(0,5),(1,2),(1,3),(1,4),(1,5)],6)=>5
[4,2,1,3,5,6]=>([(0,5),(1,4),(2,4),(4,5),(5,3)],6)=>1
[4,2,1,3,6,5]=>([(0,3),(1,3),(2,4),(2,5),(3,4),(3,5)],6)=>1
[4,2,1,5,3,6]=>([(0,5),(1,3),(1,5),(2,3),(2,5),(3,4),(5,4)],6)=>1
[4,2,1,5,6,3]=>([(0,5),(1,4),(1,5),(2,4),(2,5),(5,3)],6)=>1
[4,2,1,6,3,5]=>([(0,4),(0,5),(1,3),(1,5),(2,3),(2,5),(3,4)],6)=>1
[4,2,1,6,5,3]=>([(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6)=>2
[4,2,3,1,5,6]=>([(0,5),(1,5),(2,3),(3,5),(5,4)],6)=>2
[4,2,3,1,6,5]=>([(0,4),(0,5),(1,4),(1,5),(2,3),(3,4),(3,5)],6)=>2
[4,2,3,5,1,6]=>([(0,5),(1,4),(2,3),(3,5),(5,4)],6)=>2
[4,2,3,5,6,1]=>([(1,5),(2,3),(3,5),(5,4)],6)=>2
[4,2,3,6,1,5]=>([(0,5),(1,4),(1,5),(2,3),(3,4),(3,5)],6)=>2
[4,2,3,6,5,1]=>([(1,4),(1,5),(2,3),(3,4),(3,5)],6)=>3
[4,2,5,1,3,6]=>([(0,4),(1,3),(2,3),(2,4),(3,5),(4,5)],6)=>1
[4,2,5,1,6,3]=>([(0,4),(1,3),(1,5),(2,3),(2,4),(4,5)],6)=>1
[4,2,5,3,1,6]=>([(0,5),(1,4),(2,3),(2,4),(3,5),(4,5)],6)=>3
[4,2,5,3,6,1]=>([(1,4),(2,3),(2,4),(3,5),(4,5)],6)=>3
[4,2,5,6,1,3]=>([(0,5),(1,4),(2,4),(2,5),(5,3)],6)=>1
[4,2,5,6,3,1]=>([(1,5),(2,3),(2,5),(5,4)],6)=>4
[4,2,6,1,3,5]=>([(0,4),(1,3),(1,5),(2,3),(2,4),(4,5)],6)=>1
[4,2,6,1,5,3]=>([(0,4),(0,5),(1,3),(1,5),(2,3),(2,4),(2,5)],6)=>2
[4,2,6,3,1,5]=>([(0,5),(1,4),(1,5),(2,3),(2,4),(3,5)],6)=>3
[4,2,6,3,5,1]=>([(1,4),(1,5),(2,3),(2,4),(3,5)],6)=>4
[4,2,6,5,1,3]=>([(0,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6)=>3
[4,2,6,5,3,1]=>([(1,4),(1,5),(2,3),(2,4),(2,5)],6)=>6
[4,3,1,2,5,6]=>([(0,5),(1,5),(2,3),(3,5),(5,4)],6)=>2
[4,3,1,2,6,5]=>([(0,4),(0,5),(1,4),(1,5),(2,3),(3,4),(3,5)],6)=>2
[4,3,1,5,2,6]=>([(0,5),(1,5),(2,3),(2,5),(3,4),(5,4)],6)=>2
[4,3,1,5,6,2]=>([(0,5),(1,5),(2,3),(2,5),(5,4)],6)=>2
[4,3,1,6,2,5]=>([(0,4),(0,5),(1,4),(1,5),(2,3),(2,4),(3,5)],6)=>2
[4,3,1,6,5,2]=>([(0,4),(0,5),(1,4),(1,5),(2,3),(2,4),(2,5)],6)=>3
[4,3,2,1,5,6]=>([(0,5),(1,5),(2,5),(3,5),(5,4)],6)=>4
[4,3,2,1,6,5]=>([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6)=>4
[4,3,2,5,1,6]=>([(0,5),(1,5),(2,5),(3,4),(5,4)],6)=>4
[4,3,2,5,6,1]=>([(1,5),(2,5),(3,5),(5,4)],6)=>4
[4,3,2,6,1,5]=>([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6)=>4
[4,3,2,6,5,1]=>([(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6)=>5
[4,3,5,1,2,6]=>([(0,4),(1,4),(2,3),(3,5),(4,5)],6)=>2
[4,3,5,1,6,2]=>([(0,4),(1,4),(2,3),(2,5),(4,5)],6)=>2
[4,3,5,2,1,6]=>([(0,5),(1,5),(2,4),(3,4),(4,5)],6)=>5
[4,3,5,2,6,1]=>([(1,5),(2,4),(3,4),(4,5)],6)=>5
[4,3,5,6,1,2]=>([(0,5),(1,5),(2,3),(5,4)],6)=>2
[4,3,5,6,2,1]=>([(2,5),(3,5),(5,4)],6)=>6
[4,3,6,1,2,5]=>([(0,4),(0,5),(1,4),(1,5),(2,3),(3,5)],6)=>2
[4,3,6,1,5,2]=>([(0,4),(0,5),(1,4),(1,5),(2,3),(2,5)],6)=>3
[4,3,6,2,1,5]=>([(0,5),(1,5),(2,4),(2,5),(3,4),(3,5)],6)=>5
[4,3,6,2,5,1]=>([(1,5),(2,4),(2,5),(3,4),(3,5)],6)=>6
[4,3,6,5,1,2]=>([(0,4),(0,5),(1,4),(1,5),(2,3)],6)=>4
[4,3,6,5,2,1]=>([(2,4),(2,5),(3,4),(3,5)],6)=>8
[4,5,1,2,3,6]=>([(0,3),(1,4),(2,5),(3,5),(4,2)],6)=>0
[4,5,1,2,6,3]=>([(0,3),(1,4),(3,5),(4,2),(4,5)],6)=>0
[4,5,1,3,2,6]=>([(0,4),(1,2),(1,3),(2,5),(3,5),(4,5)],6)=>2
[4,5,1,3,6,2]=>([(0,4),(1,2),(1,3),(3,5),(4,5)],6)=>2
[4,5,1,6,2,3]=>([(0,3),(1,4),(1,5),(3,5),(4,2)],6)=>0
[4,5,1,6,3,2]=>([(0,4),(1,2),(1,3),(1,5),(4,5)],6)=>3
[4,5,2,1,3,6]=>([(0,4),(1,4),(2,3),(3,5),(4,5)],6)=>2
[4,5,2,1,6,3]=>([(0,4),(0,5),(1,4),(1,5),(2,3),(3,5)],6)=>2
[4,5,2,3,1,6]=>([(0,5),(1,4),(2,3),(3,5),(4,5)],6)=>4
[4,5,2,3,6,1]=>([(1,4),(2,3),(3,5),(4,5)],6)=>4
[4,5,2,6,1,3]=>([(0,4),(1,4),(1,5),(2,3),(3,5)],6)=>2
[4,5,2,6,3,1]=>([(1,4),(2,3),(2,5),(4,5)],6)=>5
[4,5,3,1,2,6]=>([(0,5),(1,4),(2,3),(3,5),(4,5)],6)=>4
[4,5,3,1,6,2]=>([(0,5),(1,4),(2,3),(2,5),(4,5)],6)=>4
[4,5,3,2,1,6]=>([(0,5),(1,5),(2,5),(3,4),(4,5)],6)=>7
[4,5,3,2,6,1]=>([(1,5),(2,5),(3,4),(4,5)],6)=>7
[4,5,3,6,1,2]=>([(0,5),(1,3),(2,4),(4,5)],6)=>4
[4,5,3,6,2,1]=>([(2,5),(3,4),(4,5)],6)=>8
[4,5,6,1,2,3]=>([(0,5),(1,4),(4,2),(5,3)],6)=>0
[4,5,6,1,3,2]=>([(0,5),(1,3),(1,4),(5,2)],6)=>3
[4,5,6,2,1,3]=>([(0,5),(1,5),(2,3),(3,4)],6)=>3
[4,5,6,2,3,1]=>([(1,3),(2,4),(4,5)],6)=>6
[4,5,6,3,1,2]=>([(1,3),(2,4),(4,5)],6)=>6
[4,5,6,3,2,1]=>([(3,4),(4,5)],6)=>10
[4,6,1,2,3,5]=>([(0,4),(1,3),(1,5),(2,5),(4,2)],6)=>0
[4,6,1,2,5,3]=>([(0,4),(1,3),(1,5),(4,2),(4,5)],6)=>1
[4,6,1,3,2,5]=>([(0,4),(0,5),(1,2),(1,3),(2,5),(3,5)],6)=>2
[4,6,1,3,5,2]=>([(0,4),(0,5),(1,2),(1,3),(3,5)],6)=>3
[4,6,1,5,2,3]=>([(0,3),(0,5),(1,4),(1,5),(4,2)],6)=>2
[4,6,1,5,3,2]=>([(0,4),(0,5),(1,2),(1,3),(1,5)],6)=>5
[4,6,2,1,3,5]=>([(0,4),(1,4),(2,3),(2,5),(4,5)],6)=>2
[4,6,2,1,5,3]=>([(0,4),(0,5),(1,4),(1,5),(2,3),(2,5)],6)=>3
[4,6,2,3,1,5]=>([(0,5),(1,4),(2,3),(2,5),(4,5)],6)=>4
[4,6,2,3,5,1]=>([(1,4),(2,3),(2,5),(4,5)],6)=>5
[4,6,2,5,1,3]=>([(0,4),(1,4),(1,5),(2,3),(2,5)],6)=>4
[4,6,2,5,3,1]=>([(1,4),(1,5),(2,3),(2,5)],6)=>7
[4,6,3,1,2,5]=>([(0,5),(1,4),(2,3),(2,5),(4,5)],6)=>4
[4,6,3,1,5,2]=>([(0,5),(1,4),(1,5),(2,3),(2,5)],6)=>5
[4,6,3,2,1,5]=>([(0,5),(1,5),(2,5),(3,4),(3,5)],6)=>7
[4,6,3,2,5,1]=>([(1,5),(2,5),(3,4),(3,5)],6)=>8
[4,6,3,5,1,2]=>([(0,5),(1,3),(2,4),(2,5)],6)=>6
[4,6,3,5,2,1]=>([(2,5),(3,4),(3,5)],6)=>10
[4,6,5,1,2,3]=>([(0,5),(1,3),(1,4),(5,2)],6)=>3
[4,6,5,1,3,2]=>([(0,4),(0,5),(1,2),(1,3)],6)=>6
[4,6,5,2,1,3]=>([(0,5),(1,5),(2,3),(2,4)],6)=>6
[4,6,5,2,3,1]=>([(1,5),(2,3),(2,4)],6)=>9
[4,6,5,3,1,2]=>([(1,5),(2,3),(2,4)],6)=>9
[4,6,5,3,2,1]=>([(3,4),(3,5)],6)=>13
[5,1,2,3,4,6]=>([(0,5),(1,4),(2,5),(3,2),(4,3)],6)=>0
[5,1,2,3,6,4]=>([(0,5),(1,3),(3,4),(4,2),(4,5)],6)=>0
[5,1,2,4,3,6]=>([(0,5),(1,4),(2,5),(3,5),(4,2),(4,3)],6)=>1
[5,1,2,4,6,3]=>([(0,5),(1,4),(3,5),(4,2),(4,3)],6)=>1
[5,1,2,6,3,4]=>([(0,5),(1,4),(3,2),(4,3),(4,5)],6)=>0
[5,1,2,6,4,3]=>([(0,5),(1,4),(4,2),(4,3),(4,5)],6)=>2
[5,1,3,2,4,6]=>([(0,4),(1,2),(1,3),(2,5),(3,5),(5,4)],6)=>1
[5,1,3,2,6,4]=>([(0,5),(1,2),(1,3),(2,4),(2,5),(3,4),(3,5)],6)=>1
[5,1,3,4,2,6]=>([(0,5),(1,3),(1,4),(2,5),(3,5),(4,2)],6)=>2
[5,1,3,4,6,2]=>([(0,5),(1,2),(1,4),(3,5),(4,3)],6)=>2
[5,1,3,6,2,4]=>([(0,4),(1,2),(1,3),(2,5),(3,4),(3,5)],6)=>1
[5,1,3,6,4,2]=>([(0,5),(1,3),(1,4),(4,2),(4,5)],6)=>3
[5,1,4,2,3,6]=>([(0,5),(1,3),(1,4),(2,5),(3,5),(4,2)],6)=>2
[5,1,4,2,6,3]=>([(0,5),(1,3),(1,4),(3,5),(4,2),(4,5)],6)=>2
[5,1,4,3,2,6]=>([(0,5),(1,2),(1,3),(1,4),(2,5),(3,5),(4,5)],6)=>4
[5,1,4,3,6,2]=>([(0,5),(1,2),(1,3),(1,4),(3,5),(4,5)],6)=>4
[5,1,4,6,2,3]=>([(0,5),(1,3),(1,4),(3,5),(4,2)],6)=>2
[5,1,4,6,3,2]=>([(0,5),(1,2),(1,3),(1,4),(4,5)],6)=>5
[5,1,6,2,3,4]=>([(0,5),(1,4),(1,5),(3,2),(4,3)],6)=>0
[5,1,6,2,4,3]=>([(0,5),(1,4),(1,5),(4,2),(4,3)],6)=>2
[5,1,6,3,2,4]=>([(0,4),(1,2),(1,3),(1,4),(2,5),(3,5)],6)=>2
[5,1,6,3,4,2]=>([(0,5),(1,3),(1,4),(1,5),(4,2)],6)=>4
[5,1,6,4,2,3]=>([(0,5),(1,3),(1,4),(1,5),(4,2)],6)=>4
[5,1,6,4,3,2]=>([(0,5),(1,2),(1,3),(1,4),(1,5)],6)=>7
[5,2,1,3,4,6]=>([(0,5),(1,4),(2,4),(3,5),(4,3)],6)=>1
[5,2,1,3,6,4]=>([(0,5),(1,5),(2,4),(5,3),(5,4)],6)=>1
[5,2,1,4,3,6]=>([(0,5),(1,3),(1,4),(2,3),(2,4),(3,5),(4,5)],6)=>2
[5,2,1,4,6,3]=>([(0,5),(1,3),(1,4),(2,3),(2,4),(4,5)],6)=>2
[5,2,1,6,3,4]=>([(0,5),(1,4),(1,5),(2,4),(2,5),(4,3)],6)=>1
[5,2,1,6,4,3]=>([(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6)=>3
[5,2,3,1,4,6]=>([(0,5),(1,4),(2,3),(3,5),(5,4)],6)=>2
[5,2,3,1,6,4]=>([(0,5),(1,4),(1,5),(2,3),(3,4),(3,5)],6)=>2
[5,2,3,4,1,6]=>([(0,5),(1,5),(2,3),(3,4),(4,5)],6)=>3
[5,2,3,4,6,1]=>([(1,5),(2,3),(3,4),(4,5)],6)=>3
[5,2,3,6,1,4]=>([(0,5),(1,4),(2,3),(3,4),(3,5)],6)=>2
[5,2,3,6,4,1]=>([(1,5),(2,3),(3,4),(3,5)],6)=>4
[5,2,4,1,3,6]=>([(0,5),(1,4),(2,3),(2,4),(3,5),(4,5)],6)=>3
[5,2,4,1,6,3]=>([(0,5),(1,4),(1,5),(2,3),(2,4),(3,5)],6)=>3
[5,2,4,3,1,6]=>([(0,5),(1,5),(2,3),(2,4),(3,5),(4,5)],6)=>5
[5,2,4,3,6,1]=>([(1,5),(2,3),(2,4),(3,5),(4,5)],6)=>5
[5,2,4,6,1,3]=>([(0,5),(1,4),(2,3),(2,4),(3,5)],6)=>3
[5,2,4,6,3,1]=>([(1,5),(2,3),(2,4),(4,5)],6)=>6
[5,2,6,1,3,4]=>([(0,5),(1,4),(2,4),(2,5),(5,3)],6)=>1
[5,2,6,1,4,3]=>([(0,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6)=>3
[5,2,6,3,1,4]=>([(0,5),(1,4),(2,3),(2,4),(3,5)],6)=>3
[5,2,6,3,4,1]=>([(1,5),(2,3),(2,5),(3,4)],6)=>5
[5,2,6,4,1,3]=>([(0,5),(1,4),(2,3),(2,4),(2,5)],6)=>5
[5,2,6,4,3,1]=>([(1,5),(2,3),(2,4),(2,5)],6)=>8
[5,3,1,2,4,6]=>([(0,5),(1,4),(2,3),(3,5),(5,4)],6)=>2
[5,3,1,2,6,4]=>([(0,5),(1,4),(1,5),(2,3),(3,4),(3,5)],6)=>2
[5,3,1,4,2,6]=>([(0,5),(1,4),(2,3),(2,4),(3,5),(4,5)],6)=>3
[5,3,1,4,6,2]=>([(0,5),(1,4),(2,3),(2,4),(4,5)],6)=>3
[5,3,1,6,2,4]=>([(0,5),(1,4),(1,5),(2,3),(2,5),(3,4)],6)=>2
[5,3,1,6,4,2]=>([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5)],6)=>4
[5,3,2,1,4,6]=>([(0,5),(1,5),(2,5),(3,4),(5,4)],6)=>4
[5,3,2,1,6,4]=>([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6)=>4
[5,3,2,4,1,6]=>([(0,5),(1,5),(2,4),(3,4),(4,5)],6)=>5
[5,3,2,4,6,1]=>([(1,5),(2,4),(3,4),(4,5)],6)=>5
[5,3,2,6,1,4]=>([(0,5),(1,4),(2,4),(2,5),(3,4),(3,5)],6)=>4
[5,3,2,6,4,1]=>([(1,5),(2,4),(2,5),(3,4),(3,5)],6)=>6
[5,3,4,1,2,6]=>([(0,5),(1,4),(2,3),(3,5),(4,5)],6)=>4
[5,3,4,1,6,2]=>([(0,5),(1,4),(2,3),(2,5),(4,5)],6)=>4
[5,3,4,2,1,6]=>([(0,5),(1,5),(2,5),(3,4),(4,5)],6)=>7
[5,3,4,2,6,1]=>([(1,5),(2,5),(3,4),(4,5)],6)=>7
[5,3,4,6,1,2]=>([(0,5),(1,3),(2,4),(4,5)],6)=>4
[5,3,4,6,2,1]=>([(2,5),(3,4),(4,5)],6)=>8
[5,3,6,1,2,4]=>([(0,4),(1,4),(1,5),(2,3),(3,5)],6)=>2
[5,3,6,1,4,2]=>([(0,4),(1,4),(1,5),(2,3),(2,5)],6)=>4
[5,3,6,2,1,4]=>([(0,5),(1,5),(2,4),(3,4),(3,5)],6)=>5
[5,3,6,2,4,1]=>([(1,5),(2,4),(3,4),(3,5)],6)=>7
[5,3,6,4,1,2]=>([(0,5),(1,3),(2,4),(2,5)],6)=>6
[5,3,6,4,2,1]=>([(2,5),(3,4),(3,5)],6)=>10
[5,4,1,2,3,6]=>([(0,5),(1,5),(2,3),(3,4),(4,5)],6)=>3
[5,4,1,2,6,3]=>([(0,5),(1,5),(2,3),(3,4),(3,5)],6)=>3
[5,4,1,3,2,6]=>([(0,5),(1,5),(2,3),(2,4),(3,5),(4,5)],6)=>5
[5,4,1,3,6,2]=>([(0,5),(1,5),(2,3),(2,4),(4,5)],6)=>5
[5,4,1,6,2,3]=>([(0,5),(1,5),(2,3),(2,5),(3,4)],6)=>3
[5,4,1,6,3,2]=>([(0,5),(1,5),(2,3),(2,4),(2,5)],6)=>6
[5,4,2,1,3,6]=>([(0,5),(1,5),(2,4),(3,4),(4,5)],6)=>5
[5,4,2,1,6,3]=>([(0,5),(1,5),(2,4),(2,5),(3,4),(3,5)],6)=>5
[5,4,2,3,1,6]=>([(0,5),(1,5),(2,5),(3,4),(4,5)],6)=>7
[5,4,2,3,6,1]=>([(1,5),(2,5),(3,4),(4,5)],6)=>7
[5,4,2,6,1,3]=>([(0,5),(1,5),(2,4),(3,4),(3,5)],6)=>5
[5,4,2,6,3,1]=>([(1,5),(2,5),(3,4),(3,5)],6)=>8
[5,4,3,1,2,6]=>([(0,5),(1,5),(2,5),(3,4),(4,5)],6)=>7
[5,4,3,1,6,2]=>([(0,5),(1,5),(2,5),(3,4),(3,5)],6)=>7
[5,4,3,2,1,6]=>([(0,5),(1,5),(2,5),(3,5),(4,5)],6)=>10
[5,4,3,2,6,1]=>([(1,5),(2,5),(3,5),(4,5)],6)=>10
[5,4,3,6,1,2]=>([(0,5),(1,5),(2,5),(3,4)],6)=>7
[5,4,3,6,2,1]=>([(2,5),(3,5),(4,5)],6)=>11
[5,4,6,1,2,3]=>([(0,5),(1,5),(2,3),(3,4)],6)=>3
[5,4,6,1,3,2]=>([(0,5),(1,5),(2,3),(2,4)],6)=>6
[5,4,6,2,1,3]=>([(0,5),(1,5),(2,4),(3,4)],6)=>6
[5,4,6,2,3,1]=>([(1,5),(2,5),(3,4)],6)=>9
[5,4,6,3,1,2]=>([(1,5),(2,5),(3,4)],6)=>9
[5,4,6,3,2,1]=>([(3,5),(4,5)],6)=>13
[5,6,1,2,3,4]=>([(0,5),(1,3),(4,2),(5,4)],6)=>0
[5,6,1,2,4,3]=>([(0,4),(1,5),(5,2),(5,3)],6)=>2
[5,6,1,3,2,4]=>([(0,4),(1,2),(1,3),(2,5),(3,5)],6)=>2
[5,6,1,3,4,2]=>([(0,4),(1,3),(1,5),(5,2)],6)=>4
[5,6,1,4,2,3]=>([(0,4),(1,3),(1,5),(5,2)],6)=>4
[5,6,1,4,3,2]=>([(0,5),(1,2),(1,3),(1,4)],6)=>7
[5,6,2,1,3,4]=>([(0,5),(1,5),(2,3),(5,4)],6)=>2
[5,6,2,1,4,3]=>([(0,4),(0,5),(1,4),(1,5),(2,3)],6)=>4
[5,6,2,3,1,4]=>([(0,5),(1,3),(2,4),(4,5)],6)=>4
[5,6,2,3,4,1]=>([(1,3),(2,4),(4,5)],6)=>6
[5,6,2,4,1,3]=>([(0,5),(1,3),(2,4),(2,5)],6)=>6
[5,6,2,4,3,1]=>([(1,5),(2,3),(2,4)],6)=>9
[5,6,3,1,2,4]=>([(0,5),(1,3),(2,4),(4,5)],6)=>4
[5,6,3,1,4,2]=>([(0,5),(1,3),(2,4),(2,5)],6)=>6
[5,6,3,2,1,4]=>([(0,5),(1,5),(2,5),(3,4)],6)=>7
[5,6,3,2,4,1]=>([(1,5),(2,5),(3,4)],6)=>9
[5,6,3,4,1,2]=>([(0,5),(1,4),(2,3)],6)=>8
[5,6,3,4,2,1]=>([(2,5),(3,4)],6)=>12
[5,6,4,1,2,3]=>([(1,3),(2,4),(4,5)],6)=>6
[5,6,4,1,3,2]=>([(1,5),(2,3),(2,4)],6)=>9
[5,6,4,2,1,3]=>([(1,5),(2,5),(3,4)],6)=>9
[5,6,4,2,3,1]=>([(2,5),(3,4)],6)=>12
[5,6,4,3,1,2]=>([(2,5),(3,4)],6)=>12
[5,6,4,3,2,1]=>([(4,5)],6)=>16
[6,1,2,3,4,5]=>([(1,5),(3,4),(4,2),(5,3)],6)=>0
[6,1,2,3,5,4]=>([(1,4),(4,5),(5,2),(5,3)],6)=>1
[6,1,2,4,3,5]=>([(1,4),(2,5),(3,5),(4,2),(4,3)],6)=>1
[6,1,2,4,5,3]=>([(1,5),(4,3),(5,2),(5,4)],6)=>2
[6,1,2,5,3,4]=>([(1,5),(4,3),(5,2),(5,4)],6)=>2
[6,1,2,5,4,3]=>([(1,5),(5,2),(5,3),(5,4)],6)=>4
[6,1,3,2,4,5]=>([(1,2),(1,3),(2,5),(3,5),(5,4)],6)=>1
[6,1,3,2,5,4]=>([(1,2),(1,3),(2,4),(2,5),(3,4),(3,5)],6)=>2
[6,1,3,4,2,5]=>([(1,3),(1,4),(2,5),(3,5),(4,2)],6)=>2
[6,1,3,4,5,2]=>([(1,3),(1,5),(4,2),(5,4)],6)=>3
[6,1,3,5,2,4]=>([(1,3),(1,4),(3,5),(4,2),(4,5)],6)=>3
[6,1,3,5,4,2]=>([(1,4),(1,5),(5,2),(5,3)],6)=>5
[6,1,4,2,3,5]=>([(1,3),(1,4),(2,5),(3,5),(4,2)],6)=>2
[6,1,4,2,5,3]=>([(1,3),(1,4),(3,5),(4,2),(4,5)],6)=>3
[6,1,4,3,2,5]=>([(1,2),(1,3),(1,4),(2,5),(3,5),(4,5)],6)=>4
[6,1,4,3,5,2]=>([(1,2),(1,3),(1,4),(3,5),(4,5)],6)=>5
[6,1,4,5,2,3]=>([(1,4),(1,5),(4,3),(5,2)],6)=>4
[6,1,4,5,3,2]=>([(1,3),(1,4),(1,5),(5,2)],6)=>7
[6,1,5,2,3,4]=>([(1,3),(1,5),(4,2),(5,4)],6)=>3
[6,1,5,2,4,3]=>([(1,4),(1,5),(5,2),(5,3)],6)=>5
[6,1,5,3,2,4]=>([(1,2),(1,3),(1,4),(3,5),(4,5)],6)=>5
[6,1,5,3,4,2]=>([(1,3),(1,4),(1,5),(5,2)],6)=>7
[6,1,5,4,2,3]=>([(1,3),(1,4),(1,5),(5,2)],6)=>7
[6,1,5,4,3,2]=>([(1,2),(1,3),(1,4),(1,5)],6)=>10
[6,2,1,3,4,5]=>([(1,5),(2,5),(3,4),(5,3)],6)=>1
[6,2,1,3,5,4]=>([(1,5),(2,5),(5,3),(5,4)],6)=>2
[6,2,1,4,3,5]=>([(1,3),(1,4),(2,3),(2,4),(3,5),(4,5)],6)=>2
[6,2,1,4,5,3]=>([(1,4),(1,5),(2,4),(2,5),(5,3)],6)=>3
[6,2,1,5,3,4]=>([(1,4),(1,5),(2,4),(2,5),(5,3)],6)=>3
[6,2,1,5,4,3]=>([(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6)=>5
[6,2,3,1,4,5]=>([(1,5),(2,3),(3,5),(5,4)],6)=>2
[6,2,3,1,5,4]=>([(1,4),(1,5),(2,3),(3,4),(3,5)],6)=>3
[6,2,3,4,1,5]=>([(1,5),(2,3),(3,4),(4,5)],6)=>3
[6,2,3,4,5,1]=>([(2,3),(3,5),(5,4)],6)=>4
[6,2,3,5,1,4]=>([(1,5),(2,3),(3,4),(3,5)],6)=>4
[6,2,3,5,4,1]=>([(2,3),(3,4),(3,5)],6)=>6
[6,2,4,1,3,5]=>([(1,4),(2,3),(2,4),(3,5),(4,5)],6)=>3
[6,2,4,1,5,3]=>([(1,4),(1,5),(2,3),(2,4),(3,5)],6)=>4
[6,2,4,3,1,5]=>([(1,5),(2,3),(2,4),(3,5),(4,5)],6)=>5
[6,2,4,3,5,1]=>([(2,3),(2,4),(3,5),(4,5)],6)=>6
[6,2,4,5,1,3]=>([(1,5),(2,3),(2,5),(3,4)],6)=>5
[6,2,4,5,3,1]=>([(2,3),(2,4),(4,5)],6)=>8
[6,2,5,1,3,4]=>([(1,5),(2,3),(2,5),(5,4)],6)=>4
[6,2,5,1,4,3]=>([(1,4),(1,5),(2,3),(2,4),(2,5)],6)=>6
[6,2,5,3,1,4]=>([(1,5),(2,3),(2,4),(4,5)],6)=>6
[6,2,5,3,4,1]=>([(2,3),(2,4),(4,5)],6)=>8
[6,2,5,4,1,3]=>([(1,5),(2,3),(2,4),(2,5)],6)=>8
[6,2,5,4,3,1]=>([(2,3),(2,4),(2,5)],6)=>11
[6,3,1,2,4,5]=>([(1,5),(2,3),(3,5),(5,4)],6)=>2
[6,3,1,2,5,4]=>([(1,4),(1,5),(2,3),(3,4),(3,5)],6)=>3
[6,3,1,4,2,5]=>([(1,4),(2,3),(2,4),(3,5),(4,5)],6)=>3
[6,3,1,4,5,2]=>([(1,5),(2,3),(2,5),(5,4)],6)=>4
[6,3,1,5,2,4]=>([(1,4),(1,5),(2,3),(2,4),(3,5)],6)=>4
[6,3,1,5,4,2]=>([(1,4),(1,5),(2,3),(2,4),(2,5)],6)=>6
[6,3,2,1,4,5]=>([(1,5),(2,5),(3,5),(5,4)],6)=>4
[6,3,2,1,5,4]=>([(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6)=>5
[6,3,2,4,1,5]=>([(1,5),(2,4),(3,4),(4,5)],6)=>5
[6,3,2,4,5,1]=>([(2,5),(3,5),(5,4)],6)=>6
[6,3,2,5,1,4]=>([(1,5),(2,4),(2,5),(3,4),(3,5)],6)=>6
[6,3,2,5,4,1]=>([(2,4),(2,5),(3,4),(3,5)],6)=>8
[6,3,4,1,2,5]=>([(1,4),(2,3),(3,5),(4,5)],6)=>4
[6,3,4,1,5,2]=>([(1,4),(2,3),(2,5),(4,5)],6)=>5
[6,3,4,2,1,5]=>([(1,5),(2,5),(3,4),(4,5)],6)=>7
[6,3,4,2,5,1]=>([(2,5),(3,4),(4,5)],6)=>8
[6,3,4,5,1,2]=>([(1,3),(2,4),(4,5)],6)=>6
[6,3,4,5,2,1]=>([(3,4),(4,5)],6)=>10
[6,3,5,1,2,4]=>([(1,4),(2,3),(2,5),(4,5)],6)=>5
[6,3,5,1,4,2]=>([(1,4),(1,5),(2,3),(2,5)],6)=>7
[6,3,5,2,1,4]=>([(1,5),(2,5),(3,4),(3,5)],6)=>8
[6,3,5,2,4,1]=>([(2,5),(3,4),(3,5)],6)=>10
[6,3,5,4,1,2]=>([(1,5),(2,3),(2,4)],6)=>9
[6,3,5,4,2,1]=>([(3,4),(3,5)],6)=>13
[6,4,1,2,3,5]=>([(1,5),(2,3),(3,4),(4,5)],6)=>3
[6,4,1,2,5,3]=>([(1,5),(2,3),(3,4),(3,5)],6)=>4
[6,4,1,3,2,5]=>([(1,5),(2,3),(2,4),(3,5),(4,5)],6)=>5
[6,4,1,3,5,2]=>([(1,5),(2,3),(2,4),(4,5)],6)=>6
[6,4,1,5,2,3]=>([(1,5),(2,3),(2,5),(3,4)],6)=>5
[6,4,1,5,3,2]=>([(1,5),(2,3),(2,4),(2,5)],6)=>8
[6,4,2,1,3,5]=>([(1,5),(2,4),(3,4),(4,5)],6)=>5
[6,4,2,1,5,3]=>([(1,5),(2,4),(2,5),(3,4),(3,5)],6)=>6
[6,4,2,3,1,5]=>([(1,5),(2,5),(3,4),(4,5)],6)=>7
[6,4,2,3,5,1]=>([(2,5),(3,4),(4,5)],6)=>8
[6,4,2,5,1,3]=>([(1,5),(2,4),(3,4),(3,5)],6)=>7
[6,4,2,5,3,1]=>([(2,5),(3,4),(3,5)],6)=>10
[6,4,3,1,2,5]=>([(1,5),(2,5),(3,4),(4,5)],6)=>7
[6,4,3,1,5,2]=>([(1,5),(2,5),(3,4),(3,5)],6)=>8
[6,4,3,2,1,5]=>([(1,5),(2,5),(3,5),(4,5)],6)=>10
[6,4,3,2,5,1]=>([(2,5),(3,5),(4,5)],6)=>11
[6,4,3,5,1,2]=>([(1,5),(2,5),(3,4)],6)=>9
[6,4,3,5,2,1]=>([(3,5),(4,5)],6)=>13
[6,4,5,1,2,3]=>([(1,3),(2,4),(4,5)],6)=>6
[6,4,5,1,3,2]=>([(1,5),(2,3),(2,4)],6)=>9
[6,4,5,2,1,3]=>([(1,5),(2,5),(3,4)],6)=>9
[6,4,5,2,3,1]=>([(2,5),(3,4)],6)=>12
[6,4,5,3,1,2]=>([(2,5),(3,4)],6)=>12
[6,4,5,3,2,1]=>([(4,5)],6)=>16
[6,5,1,2,3,4]=>([(2,3),(3,5),(5,4)],6)=>4
[6,5,1,2,4,3]=>([(2,3),(3,4),(3,5)],6)=>6
[6,5,1,3,2,4]=>([(2,3),(2,4),(3,5),(4,5)],6)=>6
[6,5,1,3,4,2]=>([(2,3),(2,4),(4,5)],6)=>8
[6,5,1,4,2,3]=>([(2,3),(2,4),(4,5)],6)=>8
[6,5,1,4,3,2]=>([(2,3),(2,4),(2,5)],6)=>11
[6,5,2,1,3,4]=>([(2,5),(3,5),(5,4)],6)=>6
[6,5,2,1,4,3]=>([(2,4),(2,5),(3,4),(3,5)],6)=>8
[6,5,2,3,1,4]=>([(2,5),(3,4),(4,5)],6)=>8
[6,5,2,3,4,1]=>([(3,4),(4,5)],6)=>10
[6,5,2,4,1,3]=>([(2,5),(3,4),(3,5)],6)=>10
[6,5,2,4,3,1]=>([(3,4),(3,5)],6)=>13
[6,5,3,1,2,4]=>([(2,5),(3,4),(4,5)],6)=>8
[6,5,3,1,4,2]=>([(2,5),(3,4),(3,5)],6)=>10
[6,5,3,2,1,4]=>([(2,5),(3,5),(4,5)],6)=>11
[6,5,3,2,4,1]=>([(3,5),(4,5)],6)=>13
[6,5,3,4,1,2]=>([(2,5),(3,4)],6)=>12
[6,5,3,4,2,1]=>([(4,5)],6)=>16
[6,5,4,1,2,3]=>([(3,4),(4,5)],6)=>10
[6,5,4,1,3,2]=>([(3,4),(3,5)],6)=>13
[6,5,4,2,1,3]=>([(3,5),(4,5)],6)=>13
[6,5,4,2,3,1]=>([(4,5)],6)=>16
[6,5,4,3,1,2]=>([(4,5)],6)=>16
[6,5,4,3,2,1]=>([],6)=>20
[1,2,3,5,4,6,7]=>([(0,4),(1,6),(2,6),(4,5),(5,1),(5,2),(6,3)],7)=>0
[1,2,3,6,5,4,7]=>([(0,4),(1,6),(2,6),(3,6),(4,5),(5,1),(5,2),(5,3)],7)=>1
[1,2,3,6,5,7,4]=>([(0,4),(2,6),(3,6),(4,5),(5,1),(5,2),(5,3)],7)=>1
[1,2,3,7,5,4,6]=>([(0,4),(2,6),(3,6),(4,5),(5,1),(5,2),(5,3)],7)=>1
[1,2,3,7,6,5,4]=>([(0,5),(5,6),(6,1),(6,2),(6,3),(6,4)],7)=>4
[1,2,5,4,3,7,6]=>([(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,1),(4,2),(4,3)],7)=>1
[1,2,5,4,7,3,6]=>([(0,4),(1,6),(2,5),(2,6),(3,5),(3,6),(4,1),(4,2),(4,3)],7)=>1
[1,2,5,4,7,6,3]=>([(0,4),(2,5),(2,6),(3,5),(3,6),(4,1),(4,2),(4,3)],7)=>2
[1,2,6,4,3,7,5]=>([(0,4),(1,6),(2,5),(2,6),(3,5),(3,6),(4,1),(4,2),(4,3)],7)=>1
[1,2,6,5,4,3,7]=>([(0,5),(1,6),(2,6),(3,6),(4,6),(5,1),(5,2),(5,3),(5,4)],7)=>4
[1,2,6,5,4,7,3]=>([(0,5),(2,6),(3,6),(4,6),(5,1),(5,2),(5,3),(5,4)],7)=>4
[1,2,6,5,7,4,3]=>([(0,5),(3,6),(4,6),(5,1),(5,2),(5,3),(5,4)],7)=>5
[1,2,7,4,3,6,5]=>([(0,4),(2,5),(2,6),(3,5),(3,6),(4,1),(4,2),(4,3)],7)=>2
[1,2,7,5,4,3,6]=>([(0,5),(2,6),(3,6),(4,6),(5,1),(5,2),(5,3),(5,4)],7)=>4
[1,2,7,5,4,6,3]=>([(0,5),(3,6),(4,6),(5,1),(5,2),(5,3),(5,4)],7)=>5
[1,2,7,6,4,3,5]=>([(0,5),(3,6),(4,6),(5,1),(5,2),(5,3),(5,4)],7)=>5
[1,2,7,6,5,4,3]=>([(0,6),(6,1),(6,2),(6,3),(6,4),(6,5)],7)=>10
[1,3,2,4,6,5,7]=>([(0,3),(0,4),(1,5),(2,5),(3,6),(4,6),(6,1),(6,2)],7)=>0
[1,3,2,4,7,6,5]=>([(0,4),(0,5),(4,6),(5,6),(6,1),(6,2),(6,3)],7)=>1
[1,3,2,5,4,6,7]=>([(0,2),(0,3),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6),(6,1)],7)=>0
[1,3,2,5,4,7,6]=>([(0,1),(0,2),(1,5),(1,6),(2,5),(2,6),(5,3),(5,4),(6,3),(6,4)],7)=>0
[1,3,2,5,7,4,6]=>([(0,2),(0,3),(2,4),(2,6),(3,4),(3,6),(4,5),(6,1),(6,5)],7)=>0
[1,3,2,5,7,6,4]=>([(0,3),(0,4),(3,5),(3,6),(4,5),(4,6),(6,1),(6,2)],7)=>1
[1,3,2,6,4,7,5]=>([(0,2),(0,3),(2,4),(2,6),(3,4),(3,6),(4,5),(6,1),(6,5)],7)=>0
[1,3,2,6,5,4,7]=>([(0,1),(0,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)=>1
[1,3,2,6,5,7,4]=>([(0,1),(0,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(5,3),(6,3)],7)=>1
[1,3,2,6,7,4,5]=>([(0,3),(0,4),(3,5),(3,6),(4,5),(4,6),(5,2),(6,1)],7)=>0
[1,3,2,6,7,5,4]=>([(0,2),(0,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(6,1)],7)=>2
[1,3,2,7,4,6,5]=>([(0,3),(0,4),(3,5),(3,6),(4,5),(4,6),(6,1),(6,2)],7)=>1
[1,3,2,7,5,4,6]=>([(0,1),(0,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(5,3),(6,3)],7)=>1
[1,3,2,7,5,6,4]=>([(0,2),(0,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(6,1)],7)=>2
[1,3,2,7,6,4,5]=>([(0,2),(0,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(6,1)],7)=>2
[1,3,2,7,6,5,4]=>([(0,1),(0,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>4
[1,3,4,2,5,7,6]=>([(0,4),(0,5),(1,6),(4,6),(5,1),(6,2),(6,3)],7)=>0
[1,3,5,4,2,7,6]=>([(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,1),(4,2)],7)=>1
[1,3,5,4,6,2,7]=>([(0,3),(0,4),(1,5),(2,5),(3,6),(4,1),(4,2),(5,6)],7)=>1
[1,3,5,4,7,2,6]=>([(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(3,6),(4,1),(4,2)],7)=>1
[1,3,5,4,7,6,2]=>([(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(4,1),(4,2)],7)=>2
[1,3,6,2,4,5,7]=>([(0,3),(0,4),(1,5),(2,5),(3,6),(4,2),(4,6),(6,1)],7)=>0
[1,3,6,5,2,4,7]=>([(0,3),(0,4),(1,6),(2,6),(3,5),(4,1),(4,2),(4,5),(5,6)],7)=>2
[1,3,6,5,2,7,4]=>([(0,3),(0,4),(1,6),(2,6),(3,5),(3,6),(4,1),(4,2),(4,5)],7)=>2
[1,3,6,5,4,2,7]=>([(0,4),(0,5),(1,6),(2,6),(3,6),(4,6),(5,1),(5,2),(5,3)],7)=>4
[1,3,6,5,4,7,2]=>([(0,4),(0,5),(1,6),(2,6),(3,6),(5,1),(5,2),(5,3)],7)=>4
[1,3,6,5,7,2,4]=>([(0,3),(0,4),(1,5),(2,5),(3,6),(4,1),(4,2),(4,6)],7)=>2
[1,3,6,5,7,4,2]=>([(0,4),(0,5),(2,6),(3,6),(5,1),(5,2),(5,3)],7)=>5
[1,3,7,2,4,6,5]=>([(0,4),(0,5),(4,6),(5,1),(5,6),(6,2),(6,3)],7)=>1
[1,3,7,2,5,4,6]=>([(0,2),(0,3),(2,4),(2,5),(3,1),(3,4),(3,5),(4,6),(5,6)],7)=>1
[1,3,7,2,5,6,4]=>([(0,3),(0,4),(3,5),(3,6),(4,2),(4,5),(4,6),(6,1)],7)=>2
[1,3,7,2,6,4,5]=>([(0,3),(0,4),(3,5),(3,6),(4,2),(4,5),(4,6),(6,1)],7)=>2
[1,3,7,2,6,5,4]=>([(0,2),(0,3),(2,4),(2,5),(2,6),(3,1),(3,4),(3,5),(3,6)],7)=>4
[1,3,7,5,4,2,6]=>([(0,4),(0,5),(2,6),(3,6),(4,6),(5,1),(5,2),(5,3)],7)=>4
[1,3,7,5,4,6,2]=>([(0,4),(0,5),(2,6),(3,6),(5,1),(5,2),(5,3)],7)=>5
[1,3,7,6,2,4,5]=>([(0,4),(0,5),(4,6),(5,1),(5,2),(5,6),(6,3)],7)=>3
[1,3,7,6,2,5,4]=>([(0,3),(0,4),(3,5),(3,6),(4,1),(4,2),(4,5),(4,6)],7)=>5
[1,3,7,6,5,2,4]=>([(0,4),(0,5),(4,6),(5,1),(5,2),(5,3),(5,6)],7)=>7
[1,3,7,6,5,4,2]=>([(0,5),(0,6),(6,1),(6,2),(6,3),(6,4)],7)=>10
[1,4,2,3,5,7,6]=>([(0,4),(0,5),(1,6),(4,6),(5,1),(6,2),(6,3)],7)=>0
[1,4,2,5,6,3,7]=>([(0,3),(0,4),(1,5),(2,5),(3,6),(4,2),(4,6),(6,1)],7)=>0
[1,4,2,5,7,6,3]=>([(0,4),(0,5),(4,6),(5,1),(5,6),(6,2),(6,3)],7)=>1
[1,4,2,6,5,7,3]=>([(0,2),(0,3),(2,4),(2,5),(3,1),(3,4),(3,5),(4,6),(5,6)],7)=>1
[1,4,2,6,7,5,3]=>([(0,3),(0,4),(3,5),(3,6),(4,2),(4,5),(4,6),(6,1)],7)=>2
[1,4,2,7,5,6,3]=>([(0,3),(0,4),(3,5),(3,6),(4,2),(4,5),(4,6),(6,1)],7)=>2
[1,4,2,7,6,5,3]=>([(0,2),(0,3),(2,4),(2,5),(2,6),(3,1),(3,4),(3,5),(3,6)],7)=>4
[1,4,3,2,5,7,6]=>([(0,3),(0,4),(0,5),(3,6),(4,6),(5,6),(6,1),(6,2)],7)=>1
[1,4,3,2,6,5,7]=>([(0,1),(0,2),(0,3),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(5,4),(6,4)],7)=>1
[1,4,3,2,6,7,5]=>([(0,2),(0,3),(0,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(6,1)],7)=>1
[1,4,3,2,7,5,6]=>([(0,2),(0,3),(0,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(6,1)],7)=>1
[1,4,3,2,7,6,5]=>([(0,1),(0,2),(0,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>2
[1,4,3,5,2,6,7]=>([(0,2),(0,3),(0,4),(2,6),(3,5),(4,5),(5,6),(6,1)],7)=>1
[1,4,3,5,2,7,6]=>([(0,1),(0,2),(0,3),(1,4),(2,4),(3,5),(3,6),(4,5),(4,6)],7)=>1
[1,4,3,5,7,2,6]=>([(0,2),(0,3),(0,4),(2,6),(3,6),(4,5),(6,1),(6,5)],7)=>1
[1,4,3,5,7,6,2]=>([(0,3),(0,4),(0,5),(4,6),(5,6),(6,1),(6,2)],7)=>2
[1,4,3,6,2,5,7]=>([(0,1),(0,2),(0,3),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(6,5)],7)=>1
[1,4,3,6,2,7,5]=>([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5)],7)=>1
[1,4,3,6,5,2,7]=>([(0,1),(0,2),(0,3),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)=>2
[1,4,3,6,5,7,2]=>([(0,1),(0,2),(0,3),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)=>2
[1,4,3,6,7,2,5]=>([(0,2),(0,3),(0,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,1)],7)=>1
[1,4,3,6,7,5,2]=>([(0,2),(0,3),(0,4),(3,5),(3,6),(4,5),(4,6),(6,1)],7)=>3
[1,4,3,7,2,5,6]=>([(0,2),(0,3),(0,4),(2,6),(3,5),(3,6),(4,5),(4,6),(6,1)],7)=>1
[1,4,3,7,2,6,5]=>([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>2
[1,4,3,7,5,2,6]=>([(0,1),(0,2),(0,3),(1,6),(2,4),(2,5),(3,4),(3,5),(5,6)],7)=>2
[1,4,3,7,5,6,2]=>([(0,2),(0,3),(0,4),(3,5),(3,6),(4,5),(4,6),(6,1)],7)=>3
[1,4,3,7,6,2,5]=>([(0,1),(0,2),(0,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>3
[1,4,3,7,6,5,2]=>([(0,1),(0,2),(0,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>5
[1,4,5,2,3,7,6]=>([(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(3,2),(4,1)],7)=>0
[1,4,5,3,2,6,7]=>([(0,3),(0,4),(0,5),(1,6),(3,6),(4,6),(5,1),(6,2)],7)=>2
[1,4,5,3,6,7,2]=>([(0,3),(0,4),(0,5),(1,6),(4,6),(5,1),(6,2)],7)=>2
[1,4,5,7,6,3,2]=>([(0,3),(0,4),(0,5),(5,6),(6,1),(6,2)],7)=>6
[1,4,6,2,5,3,7]=>([(0,3),(0,4),(1,6),(2,6),(3,2),(3,5),(4,1),(4,5),(5,6)],7)=>1
[1,4,6,5,2,3,7]=>([(0,4),(0,5),(1,6),(2,6),(3,6),(4,3),(5,1),(5,2)],7)=>2
[1,4,6,5,2,7,3]=>([(0,4),(0,5),(2,6),(3,6),(4,1),(4,6),(5,2),(5,3)],7)=>2
[1,4,6,5,3,2,7]=>([(0,3),(0,4),(0,5),(1,6),(2,6),(3,6),(4,6),(5,1),(5,2)],7)=>5
[1,4,6,5,3,7,2]=>([(0,3),(0,4),(0,5),(1,6),(2,6),(4,6),(5,1),(5,2)],7)=>5
[1,4,6,5,7,2,3]=>([(0,4),(0,5),(2,6),(3,6),(4,1),(5,2),(5,3)],7)=>2
[1,4,6,5,7,3,2]=>([(0,3),(0,4),(0,5),(1,6),(2,6),(5,1),(5,2)],7)=>6
[1,4,7,2,5,6,3]=>([(0,4),(0,5),(4,2),(4,6),(5,1),(5,6),(6,3)],7)=>2
[1,4,7,2,6,5,3]=>([(0,3),(0,4),(3,2),(3,5),(3,6),(4,1),(4,5),(4,6)],7)=>4
[1,4,7,3,2,5,6]=>([(0,3),(0,4),(0,5),(3,6),(4,6),(5,1),(5,6),(6,2)],7)=>2
[1,4,7,3,2,6,5]=>([(0,2),(0,3),(0,4),(2,5),(2,6),(3,5),(3,6),(4,1),(4,5),(4,6)],7)=>3
[1,4,7,3,5,2,6]=>([(0,2),(0,3),(0,4),(2,6),(3,5),(4,1),(4,5),(5,6)],7)=>3
[1,4,7,3,5,6,2]=>([(0,3),(0,4),(0,5),(4,6),(5,1),(5,6),(6,2)],7)=>4
[1,4,7,3,6,2,5]=>([(0,2),(0,3),(0,4),(2,6),(3,5),(3,6),(4,1),(4,5),(4,6)],7)=>4
[1,4,7,3,6,5,2]=>([(0,2),(0,3),(0,4),(3,5),(3,6),(4,1),(4,5),(4,6)],7)=>6
[1,4,7,5,2,3,6]=>([(0,4),(0,5),(2,6),(3,6),(4,3),(5,1),(5,2)],7)=>2
[1,4,7,5,3,2,6]=>([(0,3),(0,4),(0,5),(2,6),(3,6),(4,6),(5,1),(5,2)],7)=>5
[1,4,7,5,3,6,2]=>([(0,3),(0,4),(0,5),(2,6),(4,6),(5,1),(5,2)],7)=>6
[1,4,7,6,2,5,3]=>([(0,4),(0,5),(4,3),(4,6),(5,1),(5,2),(5,6)],7)=>5
[1,4,7,6,3,2,5]=>([(0,3),(0,4),(0,5),(3,6),(4,6),(5,1),(5,2),(5,6)],7)=>6
[1,4,7,6,3,5,2]=>([(0,3),(0,4),(0,5),(4,6),(5,1),(5,2),(5,6)],7)=>8
[1,4,7,6,5,2,3]=>([(0,5),(0,6),(5,4),(6,1),(6,2),(6,3)],7)=>7
[1,4,7,6,5,3,2]=>([(0,4),(0,5),(0,6),(6,1),(6,2),(6,3)],7)=>11
[1,5,2,4,3,7,6]=>([(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,1),(4,2)],7)=>1
[1,5,2,6,4,3,7]=>([(0,3),(0,4),(1,6),(2,6),(3,5),(4,1),(4,2),(4,5),(5,6)],7)=>2
[1,5,2,6,7,4,3]=>([(0,4),(0,5),(4,6),(5,1),(5,2),(5,6),(6,3)],7)=>3
[1,5,2,7,4,3,6]=>([(0,3),(0,4),(1,6),(2,6),(3,5),(3,6),(4,1),(4,2),(4,5)],7)=>2
[1,5,2,7,6,4,3]=>([(0,3),(0,4),(3,5),(3,6),(4,1),(4,2),(4,5),(4,6)],7)=>5
[1,5,3,2,4,6,7]=>([(0,2),(0,3),(0,4),(2,6),(3,5),(4,5),(5,6),(6,1)],7)=>1
[1,5,3,2,4,7,6]=>([(0,1),(0,2),(0,3),(1,4),(2,4),(3,5),(3,6),(4,5),(4,6)],7)=>1
[1,5,3,2,6,4,7]=>([(0,1),(0,2),(0,3),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(6,5)],7)=>1
[1,5,3,2,6,7,4]=>([(0,2),(0,3),(0,4),(2,6),(3,5),(3,6),(4,5),(4,6),(6,1)],7)=>1
[1,5,3,2,7,4,6]=>([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5)],7)=>1
[1,5,3,2,7,6,4]=>([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>2
[1,5,3,4,2,6,7]=>([(0,3),(0,4),(0,5),(1,6),(3,6),(4,6),(5,1),(6,2)],7)=>2
[1,5,3,4,6,7,2]=>([(0,3),(0,4),(0,5),(1,6),(4,6),(5,1),(6,2)],7)=>2
[1,5,3,6,2,4,7]=>([(0,1),(0,2),(0,3),(1,5),(2,4),(3,4),(3,5),(4,6),(5,6)],7)=>1
[1,5,3,6,2,7,4]=>([(0,1),(0,2),(0,3),(1,5),(2,4),(2,6),(3,4),(3,5),(5,6)],7)=>1
[1,5,3,6,7,2,4]=>([(0,2),(0,3),(0,4),(2,6),(3,5),(4,5),(4,6),(6,1)],7)=>1
[1,5,3,6,7,4,2]=>([(0,3),(0,4),(0,5),(4,6),(5,1),(5,6),(6,2)],7)=>4
[1,5,3,7,2,4,6]=>([(0,1),(0,2),(0,3),(1,5),(2,4),(2,6),(3,4),(3,5),(5,6)],7)=>1
[1,5,3,7,2,6,4]=>([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6)],7)=>2
[1,5,3,7,6,2,4]=>([(0,1),(0,2),(0,3),(1,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>3
[1,5,3,7,6,4,2]=>([(0,2),(0,3),(0,4),(3,5),(3,6),(4,1),(4,5),(4,6)],7)=>6
[1,5,4,2,3,6,7]=>([(0,3),(0,4),(0,5),(1,6),(3,6),(4,6),(5,1),(6,2)],7)=>2
[1,5,4,2,6,7,3]=>([(0,3),(0,4),(0,5),(3,6),(4,6),(5,1),(5,6),(6,2)],7)=>2
[1,5,4,2,7,6,3]=>([(0,2),(0,3),(0,4),(2,5),(2,6),(3,5),(3,6),(4,1),(4,5),(4,6)],7)=>3
[1,5,4,3,2,6,7]=>([(0,2),(0,3),(0,4),(0,5),(2,6),(3,6),(4,6),(5,6),(6,1)],7)=>4
[1,5,4,3,2,7,6]=>([(0,1),(0,2),(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>4
[1,5,4,3,6,2,7]=>([(0,1),(0,2),(0,3),(0,4),(1,6),(2,6),(3,6),(4,5),(6,5)],7)=>4
[1,5,4,3,6,7,2]=>([(0,2),(0,3),(0,4),(0,5),(3,6),(4,6),(5,6),(6,1)],7)=>4
[1,5,4,3,7,2,6]=>([(0,1),(0,2),(0,3),(0,4),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>4
[1,5,4,3,7,6,2]=>([(0,1),(0,2),(0,3),(0,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>5
[1,5,4,6,2,7,3]=>([(0,2),(0,3),(0,4),(2,5),(3,5),(4,1),(4,6),(5,6)],7)=>2
[1,5,4,6,3,2,7]=>([(0,1),(0,2),(0,3),(0,4),(1,6),(2,6),(3,5),(4,5),(5,6)],7)=>5
[1,5,4,6,3,7,2]=>([(0,1),(0,2),(0,3),(0,4),(2,6),(3,5),(4,5),(5,6)],7)=>5
[1,5,4,6,7,2,3]=>([(0,3),(0,4),(0,5),(3,6),(4,6),(5,1),(6,2)],7)=>2
[1,5,4,6,7,3,2]=>([(0,2),(0,3),(0,4),(0,5),(4,6),(5,6),(6,1)],7)=>6
[1,5,4,7,2,6,3]=>([(0,2),(0,3),(0,4),(2,5),(2,6),(3,5),(3,6),(4,1),(4,6)],7)=>3
[1,5,4,7,3,2,6]=>([(0,1),(0,2),(0,3),(0,4),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>5
[1,5,4,7,3,6,2]=>([(0,1),(0,2),(0,3),(0,4),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>6
[1,5,4,7,6,2,3]=>([(0,2),(0,3),(0,4),(2,5),(2,6),(3,5),(3,6),(4,1)],7)=>4
[1,5,4,7,6,3,2]=>([(0,1),(0,2),(0,3),(0,4),(3,5),(3,6),(4,5),(4,6)],7)=>8
[1,5,6,2,4,3,7]=>([(0,4),(0,5),(1,6),(2,6),(3,6),(4,3),(5,1),(5,2)],7)=>2
[1,5,6,2,4,7,3]=>([(0,4),(0,5),(2,6),(3,6),(4,3),(5,1),(5,2)],7)=>2
[1,5,6,3,4,2,7]=>([(0,3),(0,4),(0,5),(1,6),(2,6),(3,6),(4,2),(5,1)],7)=>4
[1,5,6,3,4,7,2]=>([(0,3),(0,4),(0,5),(1,6),(2,6),(4,2),(5,1)],7)=>4
[1,5,6,4,2,3,7]=>([(0,3),(0,4),(0,5),(1,6),(2,6),(3,6),(4,2),(5,1)],7)=>4
[1,5,6,4,3,2,7]=>([(0,2),(0,3),(0,4),(0,5),(1,6),(2,6),(3,6),(4,6),(5,1)],7)=>7
[1,5,6,4,3,7,2]=>([(0,2),(0,3),(0,4),(0,5),(1,6),(3,6),(4,6),(5,1)],7)=>7
[1,5,6,4,7,3,2]=>([(0,2),(0,3),(0,4),(0,5),(1,6),(4,6),(5,1)],7)=>8
[1,5,6,7,4,3,2]=>([(0,2),(0,3),(0,4),(0,6),(5,1),(6,5)],7)=>10
[1,5,7,2,4,3,6]=>([(0,4),(0,5),(2,6),(3,6),(4,1),(4,6),(5,2),(5,3)],7)=>2
[1,5,7,2,6,4,3]=>([(0,4),(0,5),(4,3),(4,6),(5,1),(5,2),(5,6)],7)=>5
[1,5,7,3,2,4,6]=>([(0,2),(0,3),(0,4),(2,5),(3,5),(4,1),(4,6),(5,6)],7)=>2
[1,5,7,3,2,6,4]=>([(0,2),(0,3),(0,4),(2,5),(2,6),(3,5),(3,6),(4,1),(4,6)],7)=>3
[1,5,7,3,6,2,4]=>([(0,2),(0,3),(0,4),(2,5),(3,5),(3,6),(4,1),(4,6)],7)=>4
[1,5,7,3,6,4,2]=>([(0,3),(0,4),(0,5),(4,2),(4,6),(5,1),(5,6)],7)=>7
[1,5,7,4,2,6,3]=>([(0,3),(0,4),(0,5),(3,6),(4,2),(4,6),(5,1),(5,6)],7)=>5
[1,5,7,4,3,2,6]=>([(0,2),(0,3),(0,4),(0,5),(2,6),(3,6),(4,6),(5,1),(5,6)],7)=>7
[1,5,7,4,3,6,2]=>([(0,2),(0,3),(0,4),(0,5),(3,6),(4,6),(5,1),(5,6)],7)=>8
[1,5,7,4,6,2,3]=>([(0,3),(0,4),(0,5),(3,6),(4,2),(5,1),(5,6)],7)=>6
[1,5,7,4,6,3,2]=>([(0,2),(0,3),(0,4),(0,5),(4,6),(5,1),(5,6)],7)=>10
[1,5,7,6,2,4,3]=>([(0,5),(0,6),(5,3),(5,4),(6,1),(6,2)],7)=>6
[1,5,7,6,3,2,4]=>([(0,3),(0,4),(0,5),(3,6),(4,6),(5,1),(5,2)],7)=>6
[1,5,7,6,3,4,2]=>([(0,4),(0,5),(0,6),(5,3),(6,1),(6,2)],7)=>9
[1,5,7,6,4,2,3]=>([(0,4),(0,5),(0,6),(5,3),(6,1),(6,2)],7)=>9
[1,5,7,6,4,3,2]=>([(0,3),(0,4),(0,5),(0,6),(6,1),(6,2)],7)=>13
[1,6,2,4,3,5,7]=>([(0,3),(0,4),(1,5),(2,5),(3,6),(4,1),(4,2),(5,6)],7)=>1
[1,6,2,4,3,7,5]=>([(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(3,6),(4,1),(4,2)],7)=>1
[1,6,2,5,4,3,7]=>([(0,4),(0,5),(1,6),(2,6),(3,6),(4,6),(5,1),(5,2),(5,3)],7)=>4
[1,6,2,5,4,7,3]=>([(0,4),(0,5),(2,6),(3,6),(4,6),(5,1),(5,2),(5,3)],7)=>4
[1,6,2,7,4,3,5]=>([(0,3),(0,4),(1,5),(2,5),(3,6),(4,1),(4,2),(4,6)],7)=>2
[1,6,2,7,5,4,3]=>([(0,4),(0,5),(4,6),(5,1),(5,2),(5,3),(5,6)],7)=>7
[1,6,3,2,4,7,5]=>([(0,2),(0,3),(0,4),(2,6),(3,6),(4,5),(6,1),(6,5)],7)=>1
[1,6,3,2,5,4,7]=>([(0,1),(0,2),(0,3),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)=>2
[1,6,3,2,5,7,4]=>([(0,1),(0,2),(0,3),(1,6),(2,4),(2,5),(3,4),(3,5),(5,6)],7)=>2
[1,6,3,2,7,4,5]=>([(0,2),(0,3),(0,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,1)],7)=>1
[1,6,3,2,7,5,4]=>([(0,1),(0,2),(0,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>3
[1,6,3,5,4,2,7]=>([(0,3),(0,4),(0,5),(1,6),(2,6),(3,6),(4,6),(5,1),(5,2)],7)=>5
[1,6,3,5,4,7,2]=>([(0,3),(0,4),(0,5),(1,6),(2,6),(4,6),(5,1),(5,2)],7)=>5
[1,6,3,5,7,4,2]=>([(0,3),(0,4),(0,5),(2,6),(4,6),(5,1),(5,2)],7)=>6
[1,6,3,7,2,4,5]=>([(0,2),(0,3),(0,4),(2,6),(3,5),(4,5),(4,6),(6,1)],7)=>1
[1,6,3,7,2,5,4]=>([(0,1),(0,2),(0,3),(1,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>3
[1,6,3,7,5,2,4]=>([(0,2),(0,3),(0,4),(2,6),(3,5),(4,1),(4,5),(4,6)],7)=>5
[1,6,3,7,5,4,2]=>([(0,3),(0,4),(0,5),(4,6),(5,1),(5,2),(5,6)],7)=>8
[1,6,4,2,5,7,3]=>([(0,2),(0,3),(0,4),(2,6),(3,5),(4,1),(4,5),(5,6)],7)=>3
[1,6,4,2,7,5,3]=>([(0,2),(0,3),(0,4),(2,6),(3,5),(3,6),(4,1),(4,5),(4,6)],7)=>4
[1,6,4,3,2,5,7]=>([(0,1),(0,2),(0,3),(0,4),(1,6),(2,6),(3,6),(4,5),(6,5)],7)=>4
[1,6,4,3,2,7,5]=>([(0,1),(0,2),(0,3),(0,4),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>4
[1,6,4,3,5,2,7]=>([(0,1),(0,2),(0,3),(0,4),(1,6),(2,6),(3,5),(4,5),(5,6)],7)=>5
[1,6,4,3,5,7,2]=>([(0,1),(0,2),(0,3),(0,4),(2,6),(3,5),(4,5),(5,6)],7)=>5
[1,6,4,3,7,2,5]=>([(0,1),(0,2),(0,3),(0,4),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)=>4
[1,6,4,3,7,5,2]=>([(0,1),(0,2),(0,3),(0,4),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>6
[1,6,4,5,2,3,7]=>([(0,3),(0,4),(0,5),(1,6),(2,6),(3,6),(4,2),(5,1)],7)=>4
[1,6,4,5,3,2,7]=>([(0,2),(0,3),(0,4),(0,5),(1,6),(2,6),(3,6),(4,6),(5,1)],7)=>7
[1,6,4,5,3,7,2]=>([(0,2),(0,3),(0,4),(0,5),(1,6),(3,6),(4,6),(5,1)],7)=>7
[1,6,4,5,7,3,2]=>([(0,2),(0,3),(0,4),(0,5),(1,6),(4,6),(5,1)],7)=>8
[1,6,4,7,2,5,3]=>([(0,2),(0,3),(0,4),(2,5),(3,5),(3,6),(4,1),(4,6)],7)=>4
[1,6,4,7,3,2,5]=>([(0,1),(0,2),(0,3),(0,4),(1,6),(2,6),(3,5),(4,5),(4,6)],7)=>5
[1,6,4,7,3,5,2]=>([(0,1),(0,2),(0,3),(0,4),(2,6),(3,5),(4,5),(4,6)],7)=>7
[1,6,4,7,5,2,3]=>([(0,3),(0,4),(0,5),(3,6),(4,2),(5,1),(5,6)],7)=>6
[1,6,4,7,5,3,2]=>([(0,2),(0,3),(0,4),(0,5),(4,6),(5,1),(5,6)],7)=>10
[1,6,5,2,4,3,7]=>([(0,3),(0,4),(0,5),(1,6),(2,6),(3,6),(4,6),(5,1),(5,2)],7)=>5
[1,6,5,2,4,7,3]=>([(0,3),(0,4),(0,5),(2,6),(3,6),(4,6),(5,1),(5,2)],7)=>5
[1,6,5,2,7,4,3]=>([(0,3),(0,4),(0,5),(3,6),(4,6),(5,1),(5,2),(5,6)],7)=>6
[1,6,5,3,2,4,7]=>([(0,1),(0,2),(0,3),(0,4),(1,6),(2,6),(3,5),(4,5),(5,6)],7)=>5
[1,6,5,3,2,7,4]=>([(0,1),(0,2),(0,3),(0,4),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>5
[1,6,5,3,4,2,7]=>([(0,2),(0,3),(0,4),(0,5),(1,6),(2,6),(3,6),(4,6),(5,1)],7)=>7
[1,6,5,3,4,7,2]=>([(0,2),(0,3),(0,4),(0,5),(1,6),(3,6),(4,6),(5,1)],7)=>7
[1,6,5,3,7,2,4]=>([(0,1),(0,2),(0,3),(0,4),(1,6),(2,6),(3,5),(4,5),(4,6)],7)=>5
[1,6,5,3,7,4,2]=>([(0,2),(0,3),(0,4),(0,5),(3,6),(4,6),(5,1),(5,6)],7)=>8
[1,6,5,4,2,3,7]=>([(0,2),(0,3),(0,4),(0,5),(1,6),(2,6),(3,6),(4,6),(5,1)],7)=>7
[1,6,5,4,2,7,3]=>([(0,2),(0,3),(0,4),(0,5),(2,6),(3,6),(4,6),(5,1),(5,6)],7)=>7
[1,6,5,4,3,2,7]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(1,6),(2,6),(3,6),(4,6),(5,6)],7)=>10
[1,6,5,4,3,7,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(2,6),(3,6),(4,6),(5,6)],7)=>10
[1,6,5,4,7,2,3]=>([(0,2),(0,3),(0,4),(0,5),(2,6),(3,6),(4,6),(5,1)],7)=>7
[1,6,5,4,7,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(3,6),(4,6),(5,6)],7)=>11
[1,6,5,7,2,4,3]=>([(0,3),(0,4),(0,5),(3,6),(4,6),(5,1),(5,2)],7)=>6
[1,6,5,7,3,2,4]=>([(0,1),(0,2),(0,3),(0,4),(1,6),(2,6),(3,5),(4,5)],7)=>6
[1,6,5,7,3,4,2]=>([(0,2),(0,3),(0,4),(0,5),(3,6),(4,6),(5,1)],7)=>9
[1,6,5,7,4,2,3]=>([(0,2),(0,3),(0,4),(0,5),(3,6),(4,6),(5,1)],7)=>9
[1,6,5,7,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(4,6),(5,6)],7)=>13
[1,6,7,2,4,3,5]=>([(0,4),(0,5),(2,6),(3,6),(4,1),(5,2),(5,3)],7)=>2
[1,6,7,2,5,4,3]=>([(0,5),(0,6),(5,4),(6,1),(6,2),(6,3)],7)=>7
[1,6,7,3,2,4,5]=>([(0,3),(0,4),(0,5),(3,6),(4,6),(5,1),(6,2)],7)=>2
[1,6,7,3,2,5,4]=>([(0,2),(0,3),(0,4),(2,5),(2,6),(3,5),(3,6),(4,1)],7)=>4
[1,6,7,3,5,2,4]=>([(0,3),(0,4),(0,5),(3,6),(4,2),(5,1),(5,6)],7)=>6
[1,6,7,3,5,4,2]=>([(0,4),(0,5),(0,6),(5,3),(6,1),(6,2)],7)=>9
[1,6,7,4,2,5,3]=>([(0,3),(0,4),(0,5),(3,6),(4,2),(5,1),(5,6)],7)=>6
[1,6,7,4,3,2,5]=>([(0,2),(0,3),(0,4),(0,5),(2,6),(3,6),(4,6),(5,1)],7)=>7
[1,6,7,4,3,5,2]=>([(0,2),(0,3),(0,4),(0,5),(3,6),(4,6),(5,1)],7)=>9
[1,6,7,4,5,2,3]=>([(0,4),(0,5),(0,6),(4,3),(5,2),(6,1)],7)=>8
[1,6,7,4,5,3,2]=>([(0,3),(0,4),(0,5),(0,6),(5,2),(6,1)],7)=>12
[1,6,7,5,2,4,3]=>([(0,4),(0,5),(0,6),(5,3),(6,1),(6,2)],7)=>9
[1,6,7,5,3,2,4]=>([(0,2),(0,3),(0,4),(0,5),(3,6),(4,6),(5,1)],7)=>9
[1,6,7,5,3,4,2]=>([(0,3),(0,4),(0,5),(0,6),(5,2),(6,1)],7)=>12
[1,6,7,5,4,2,3]=>([(0,3),(0,4),(0,5),(0,6),(5,2),(6,1)],7)=>12
[1,6,7,5,4,3,2]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(6,1)],7)=>16
[1,7,2,4,3,6,5]=>([(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(4,1),(4,2)],7)=>2
[1,7,2,5,4,3,6]=>([(0,4),(0,5),(1,6),(2,6),(3,6),(5,1),(5,2),(5,3)],7)=>4
[1,7,2,5,4,6,3]=>([(0,4),(0,5),(2,6),(3,6),(5,1),(5,2),(5,3)],7)=>5
[1,7,2,6,4,3,5]=>([(0,4),(0,5),(2,6),(3,6),(5,1),(5,2),(5,3)],7)=>5
[1,7,2,6,5,4,3]=>([(0,5),(0,6),(6,1),(6,2),(6,3),(6,4)],7)=>10
[1,7,3,2,4,6,5]=>([(0,3),(0,4),(0,5),(4,6),(5,6),(6,1),(6,2)],7)=>2
[1,7,3,2,5,4,6]=>([(0,1),(0,2),(0,3),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)=>2
[1,7,3,2,5,6,4]=>([(0,2),(0,3),(0,4),(3,5),(3,6),(4,5),(4,6),(6,1)],7)=>3
[1,7,3,2,6,4,5]=>([(0,2),(0,3),(0,4),(3,5),(3,6),(4,5),(4,6),(6,1)],7)=>3
[1,7,3,2,6,5,4]=>([(0,1),(0,2),(0,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>5
[1,7,3,4,2,5,6]=>([(0,3),(0,4),(0,5),(1,6),(4,6),(5,1),(6,2)],7)=>2
[1,7,3,4,6,5,2]=>([(0,3),(0,4),(0,5),(5,6),(6,1),(6,2)],7)=>6
[1,7,3,5,4,2,6]=>([(0,3),(0,4),(0,5),(1,6),(2,6),(4,6),(5,1),(5,2)],7)=>5
[1,7,3,5,4,6,2]=>([(0,3),(0,4),(0,5),(1,6),(2,6),(5,1),(5,2)],7)=>6
[1,7,3,6,2,4,5]=>([(0,3),(0,4),(0,5),(4,6),(5,1),(5,6),(6,2)],7)=>4
[1,7,3,6,2,5,4]=>([(0,2),(0,3),(0,4),(3,5),(3,6),(4,1),(4,5),(4,6)],7)=>6
[1,7,3,6,4,2,5]=>([(0,3),(0,4),(0,5),(2,6),(4,6),(5,1),(5,2)],7)=>6
[1,7,3,6,5,2,4]=>([(0,3),(0,4),(0,5),(4,6),(5,1),(5,2),(5,6)],7)=>8
[1,7,3,6,5,4,2]=>([(0,4),(0,5),(0,6),(6,1),(6,2),(6,3)],7)=>11
[1,7,4,2,3,5,6]=>([(0,3),(0,4),(0,5),(1,6),(4,6),(5,1),(6,2)],7)=>2
[1,7,4,2,5,6,3]=>([(0,3),(0,4),(0,5),(4,6),(5,1),(5,6),(6,2)],7)=>4
[1,7,4,2,6,5,3]=>([(0,2),(0,3),(0,4),(3,5),(3,6),(4,1),(4,5),(4,6)],7)=>6
[1,7,4,3,2,5,6]=>([(0,2),(0,3),(0,4),(0,5),(3,6),(4,6),(5,6),(6,1)],7)=>4
[1,7,4,3,2,6,5]=>([(0,1),(0,2),(0,3),(0,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>5
[1,7,4,3,5,2,6]=>([(0,1),(0,2),(0,3),(0,4),(2,6),(3,5),(4,5),(5,6)],7)=>5
[1,7,4,3,5,6,2]=>([(0,2),(0,3),(0,4),(0,5),(4,6),(5,6),(6,1)],7)=>6
[1,7,4,3,6,2,5]=>([(0,1),(0,2),(0,3),(0,4),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>6
[1,7,4,3,6,5,2]=>([(0,1),(0,2),(0,3),(0,4),(3,5),(3,6),(4,5),(4,6)],7)=>8
[1,7,4,5,2,3,6]=>([(0,3),(0,4),(0,5),(1,6),(2,6),(4,2),(5,1)],7)=>4
[1,7,4,5,3,2,6]=>([(0,2),(0,3),(0,4),(0,5),(1,6),(3,6),(4,6),(5,1)],7)=>7
[1,7,4,5,3,6,2]=>([(0,2),(0,3),(0,4),(0,5),(1,6),(4,6),(5,1)],7)=>8
[1,7,4,5,6,3,2]=>([(0,2),(0,3),(0,4),(0,6),(5,1),(6,5)],7)=>10
[1,7,4,6,2,5,3]=>([(0,3),(0,4),(0,5),(4,2),(4,6),(5,1),(5,6)],7)=>7
[1,7,4,6,3,2,5]=>([(0,2),(0,3),(0,4),(0,5),(3,6),(4,6),(5,1),(5,6)],7)=>8
[1,7,4,6,3,5,2]=>([(0,2),(0,3),(0,4),(0,5),(4,6),(5,1),(5,6)],7)=>10
[1,7,4,6,5,2,3]=>([(0,4),(0,5),(0,6),(5,3),(6,1),(6,2)],7)=>9
[1,7,4,6,5,3,2]=>([(0,3),(0,4),(0,5),(0,6),(6,1),(6,2)],7)=>13
[1,7,5,2,4,3,6]=>([(0,3),(0,4),(0,5),(1,6),(2,6),(4,6),(5,1),(5,2)],7)=>5
[1,7,5,2,4,6,3]=>([(0,3),(0,4),(0,5),(2,6),(4,6),(5,1),(5,2)],7)=>6
[1,7,5,2,6,4,3]=>([(0,3),(0,4),(0,5),(4,6),(5,1),(5,2),(5,6)],7)=>8
[1,7,5,3,2,4,6]=>([(0,1),(0,2),(0,3),(0,4),(2,6),(3,5),(4,5),(5,6)],7)=>5
[1,7,5,3,2,6,4]=>([(0,1),(0,2),(0,3),(0,4),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>6
[1,7,5,3,4,2,6]=>([(0,2),(0,3),(0,4),(0,5),(1,6),(3,6),(4,6),(5,1)],7)=>7
[1,7,5,3,4,6,2]=>([(0,2),(0,3),(0,4),(0,5),(1,6),(4,6),(5,1)],7)=>8
[1,7,5,3,6,2,4]=>([(0,1),(0,2),(0,3),(0,4),(2,6),(3,5),(4,5),(4,6)],7)=>7
[1,7,5,3,6,4,2]=>([(0,2),(0,3),(0,4),(0,5),(4,6),(5,1),(5,6)],7)=>10
[1,7,5,4,2,3,6]=>([(0,2),(0,3),(0,4),(0,5),(1,6),(3,6),(4,6),(5,1)],7)=>7
[1,7,5,4,2,6,3]=>([(0,2),(0,3),(0,4),(0,5),(3,6),(4,6),(5,1),(5,6)],7)=>8
[1,7,5,4,3,2,6]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(2,6),(3,6),(4,6),(5,6)],7)=>10
[1,7,5,4,3,6,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(3,6),(4,6),(5,6)],7)=>11
[1,7,5,4,6,2,3]=>([(0,2),(0,3),(0,4),(0,5),(3,6),(4,6),(5,1)],7)=>9
[1,7,5,4,6,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(4,6),(5,6)],7)=>13
[1,7,5,6,2,4,3]=>([(0,4),(0,5),(0,6),(5,3),(6,1),(6,2)],7)=>9
[1,7,5,6,3,2,4]=>([(0,2),(0,3),(0,4),(0,5),(3,6),(4,6),(5,1)],7)=>9
[1,7,5,6,3,4,2]=>([(0,3),(0,4),(0,5),(0,6),(5,2),(6,1)],7)=>12
[1,7,5,6,4,2,3]=>([(0,3),(0,4),(0,5),(0,6),(5,2),(6,1)],7)=>12
[1,7,5,6,4,3,2]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(6,1)],7)=>16
[1,7,6,2,3,5,4]=>([(0,3),(0,4),(0,5),(5,6),(6,1),(6,2)],7)=>6
[1,7,6,2,4,3,5]=>([(0,3),(0,4),(0,5),(1,6),(2,6),(5,1),(5,2)],7)=>6
[1,7,6,2,5,4,3]=>([(0,4),(0,5),(0,6),(6,1),(6,2),(6,3)],7)=>11
[1,7,6,3,2,4,5]=>([(0,2),(0,3),(0,4),(0,5),(4,6),(5,6),(6,1)],7)=>6
[1,7,6,3,2,5,4]=>([(0,1),(0,2),(0,3),(0,4),(3,5),(3,6),(4,5),(4,6)],7)=>8
[1,7,6,3,4,2,5]=>([(0,2),(0,3),(0,4),(0,5),(1,6),(4,6),(5,1)],7)=>8
[1,7,6,3,4,5,2]=>([(0,2),(0,3),(0,4),(0,6),(5,1),(6,5)],7)=>10
[1,7,6,3,5,2,4]=>([(0,2),(0,3),(0,4),(0,5),(4,6),(5,1),(5,6)],7)=>10
[1,7,6,3,5,4,2]=>([(0,3),(0,4),(0,5),(0,6),(6,1),(6,2)],7)=>13
[1,7,6,4,2,3,5]=>([(0,2),(0,3),(0,4),(0,5),(1,6),(4,6),(5,1)],7)=>8
[1,7,6,4,2,5,3]=>([(0,2),(0,3),(0,4),(0,5),(4,6),(5,1),(5,6)],7)=>10
[1,7,6,4,3,2,5]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(3,6),(4,6),(5,6)],7)=>11
[1,7,6,4,3,5,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(4,6),(5,6)],7)=>13
[1,7,6,4,5,2,3]=>([(0,3),(0,4),(0,5),(0,6),(5,2),(6,1)],7)=>12
[1,7,6,4,5,3,2]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(6,1)],7)=>16
[1,7,6,5,2,3,4]=>([(0,2),(0,3),(0,4),(0,6),(5,1),(6,5)],7)=>10
[1,7,6,5,2,4,3]=>([(0,3),(0,4),(0,5),(0,6),(6,1),(6,2)],7)=>13
[1,7,6,5,3,2,4]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(4,6),(5,6)],7)=>13
[1,7,6,5,3,4,2]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(6,1)],7)=>16
[1,7,6,5,4,2,3]=>([(0,2),(0,3),(0,4),(0,5),(0,6),(6,1)],7)=>16
[1,7,6,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>20
[2,1,3,4,5,6,7]=>([(0,6),(1,6),(3,4),(4,2),(5,3),(6,5)],7)=>0
[2,1,3,4,5,7,6]=>([(0,6),(1,6),(4,5),(5,2),(5,3),(6,4)],7)=>0
[2,1,3,4,6,5,7]=>([(0,6),(1,6),(2,5),(3,5),(4,2),(4,3),(6,4)],7)=>0
[2,1,3,4,6,7,5]=>([(0,6),(1,6),(4,3),(5,2),(5,4),(6,5)],7)=>0
[2,1,3,4,7,5,6]=>([(0,6),(1,6),(4,3),(5,2),(5,4),(6,5)],7)=>0
[2,1,3,4,7,6,5]=>([(0,6),(1,6),(5,2),(5,3),(5,4),(6,5)],7)=>1
[2,1,3,5,4,6,7]=>([(0,6),(1,6),(2,5),(3,5),(5,4),(6,2),(6,3)],7)=>0
[2,1,3,5,4,7,6]=>([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(6,2),(6,3)],7)=>0
[2,1,3,5,6,4,7]=>([(0,6),(1,6),(2,5),(3,5),(4,3),(6,2),(6,4)],7)=>0
[2,1,3,5,6,7,4]=>([(0,6),(1,6),(4,2),(5,4),(6,3),(6,5)],7)=>0
[2,1,3,5,7,4,6]=>([(0,6),(1,6),(3,5),(4,2),(4,5),(6,3),(6,4)],7)=>0
[2,1,3,5,7,6,4]=>([(0,6),(1,6),(5,2),(5,3),(6,4),(6,5)],7)=>1
[2,1,3,6,4,5,7]=>([(0,6),(1,6),(2,5),(3,5),(4,3),(6,2),(6,4)],7)=>0
[2,1,3,6,4,7,5]=>([(0,6),(1,6),(3,5),(4,2),(4,5),(6,3),(6,4)],7)=>0
[2,1,3,6,5,4,7]=>([(0,5),(1,5),(2,6),(3,6),(4,6),(5,2),(5,3),(5,4)],7)=>1
[2,1,3,6,5,7,4]=>([(0,6),(1,6),(3,5),(4,5),(6,2),(6,3),(6,4)],7)=>1
[2,1,3,6,7,4,5]=>([(0,6),(1,6),(4,3),(5,2),(6,4),(6,5)],7)=>0
[2,1,3,6,7,5,4]=>([(0,6),(1,6),(5,2),(6,3),(6,4),(6,5)],7)=>2
[2,1,3,7,4,5,6]=>([(0,6),(1,6),(4,2),(5,4),(6,3),(6,5)],7)=>0
[2,1,3,7,4,6,5]=>([(0,6),(1,6),(5,2),(5,3),(6,4),(6,5)],7)=>1
[2,1,3,7,5,4,6]=>([(0,6),(1,6),(3,5),(4,5),(6,2),(6,3),(6,4)],7)=>1
[2,1,3,7,5,6,4]=>([(0,6),(1,6),(5,2),(6,3),(6,4),(6,5)],7)=>2
[2,1,3,7,6,4,5]=>([(0,6),(1,6),(5,2),(6,3),(6,4),(6,5)],7)=>2
[2,1,3,7,6,5,4]=>([(0,6),(1,6),(6,2),(6,3),(6,4),(6,5)],7)=>4
[2,1,4,3,5,6,7]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(4,2),(5,4),(6,4)],7)=>0
[2,1,4,3,5,7,6]=>([(0,5),(0,6),(1,5),(1,6),(4,2),(4,3),(5,4),(6,4)],7)=>0
[2,1,4,3,6,5,7]=>([(0,5),(0,6),(1,5),(1,6),(3,2),(4,2),(5,3),(5,4),(6,3),(6,4)],7)=>0
[2,1,4,3,6,7,5]=>([(0,5),(0,6),(1,5),(1,6),(4,2),(5,3),(5,4),(6,3),(6,4)],7)=>0
[2,1,4,3,7,5,6]=>([(0,5),(0,6),(1,5),(1,6),(4,2),(5,3),(5,4),(6,3),(6,4)],7)=>0
[2,1,4,3,7,6,5]=>([(0,5),(0,6),(1,5),(1,6),(5,2),(5,3),(5,4),(6,2),(6,3),(6,4)],7)=>1
[2,1,4,5,3,6,7]=>([(0,5),(0,6),(1,5),(1,6),(3,4),(4,2),(5,3),(6,4)],7)=>0
[2,1,4,5,3,7,6]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(5,2),(6,3),(6,4)],7)=>0
[2,1,4,5,6,3,7]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(3,4),(5,2),(6,4)],7)=>0
[2,1,4,5,6,7,3]=>([(0,5),(0,6),(1,5),(1,6),(3,4),(4,2),(6,3)],7)=>0
[2,1,4,5,7,3,6]=>([(0,5),(0,6),(1,5),(1,6),(3,2),(3,4),(5,3),(6,4)],7)=>0
[2,1,4,5,7,6,3]=>([(0,5),(0,6),(1,5),(1,6),(4,2),(4,3),(6,4)],7)=>1
[2,1,4,6,3,5,7]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(4,3),(5,4),(6,2),(6,4)],7)=>0
[2,1,4,6,3,7,5]=>([(0,5),(0,6),(1,5),(1,6),(2,4),(5,2),(5,3),(6,3),(6,4)],7)=>0
[2,1,4,6,5,3,7]=>([(0,4),(0,5),(1,4),(1,5),(2,6),(3,6),(4,6),(5,2),(5,3)],7)=>1
[2,1,4,6,5,7,3]=>([(0,5),(0,6),(1,5),(1,6),(2,4),(3,4),(6,2),(6,3)],7)=>1
[2,1,4,6,7,3,5]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(5,4),(6,2),(6,4)],7)=>0
[2,1,4,6,7,5,3]=>([(0,5),(0,6),(1,5),(1,6),(4,3),(6,2),(6,4)],7)=>2
[2,1,4,7,3,5,6]=>([(0,5),(0,6),(1,5),(1,6),(4,3),(5,4),(6,2),(6,4)],7)=>0
[2,1,4,7,3,6,5]=>([(0,5),(0,6),(1,5),(1,6),(5,3),(5,4),(6,2),(6,3),(6,4)],7)=>1
[2,1,4,7,5,3,6]=>([(0,5),(0,6),(1,5),(1,6),(3,4),(5,2),(5,3),(6,4)],7)=>1
[2,1,4,7,5,6,3]=>([(0,5),(0,6),(1,5),(1,6),(4,3),(6,2),(6,4)],7)=>2
[2,1,4,7,6,3,5]=>([(0,5),(0,6),(1,5),(1,6),(5,4),(6,2),(6,3),(6,4)],7)=>2
[2,1,4,7,6,5,3]=>([(0,5),(0,6),(1,5),(1,6),(6,2),(6,3),(6,4)],7)=>4
[2,1,5,3,4,6,7]=>([(0,5),(0,6),(1,5),(1,6),(3,4),(4,2),(5,3),(6,4)],7)=>0
[2,1,5,3,4,7,6]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(5,2),(6,3),(6,4)],7)=>0
[2,1,5,3,6,4,7]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(4,3),(5,4),(6,2),(6,4)],7)=>0
[2,1,5,3,6,7,4]=>([(0,5),(0,6),(1,5),(1,6),(4,3),(5,4),(6,2),(6,4)],7)=>0
[2,1,5,3,7,4,6]=>([(0,5),(0,6),(1,5),(1,6),(2,4),(5,2),(5,3),(6,3),(6,4)],7)=>0
[2,1,5,3,7,6,4]=>([(0,5),(0,6),(1,5),(1,6),(5,3),(5,4),(6,2),(6,3),(6,4)],7)=>1
[2,1,5,6,3,4,7]=>([(0,5),(0,6),(1,5),(1,6),(2,4),(3,4),(5,3),(6,2)],7)=>0
[2,1,5,6,3,7,4]=>([(0,5),(0,6),(1,5),(1,6),(3,4),(5,3),(6,2),(6,4)],7)=>0
[2,1,5,6,7,3,4]=>([(0,5),(0,6),(1,5),(1,6),(4,3),(5,4),(6,2)],7)=>0
[2,1,5,7,3,4,6]=>([(0,5),(0,6),(1,5),(1,6),(3,4),(5,3),(6,2),(6,4)],7)=>0
[2,1,5,7,3,6,4]=>([(0,5),(0,6),(1,5),(1,6),(5,3),(5,4),(6,2),(6,4)],7)=>1
[2,1,5,7,6,3,4]=>([(0,5),(0,6),(1,5),(1,6),(5,4),(6,2),(6,3)],7)=>2
[2,1,6,3,4,5,7]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(3,4),(5,2),(6,4)],7)=>0
[2,1,6,3,4,7,5]=>([(0,5),(0,6),(1,5),(1,6),(3,2),(3,4),(5,3),(6,4)],7)=>0
[2,1,6,3,5,4,7]=>([(0,4),(0,5),(1,4),(1,5),(2,6),(3,6),(4,6),(5,2),(5,3)],7)=>1
[2,1,6,3,5,7,4]=>([(0,5),(0,6),(1,5),(1,6),(3,4),(5,2),(5,3),(6,4)],7)=>1
[2,1,6,3,7,4,5]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(5,4),(6,2),(6,4)],7)=>0
[2,1,6,3,7,5,4]=>([(0,5),(0,6),(1,5),(1,6),(5,4),(6,2),(6,3),(6,4)],7)=>2
[2,1,6,7,3,4,5]=>([(0,5),(0,6),(1,5),(1,6),(4,3),(5,4),(6,2)],7)=>0
[2,1,6,7,3,5,4]=>([(0,5),(0,6),(1,5),(1,6),(5,4),(6,2),(6,3)],7)=>2
[2,1,7,3,4,5,6]=>([(0,5),(0,6),(1,5),(1,6),(3,4),(4,2),(6,3)],7)=>0
[2,1,7,3,4,6,5]=>([(0,5),(0,6),(1,5),(1,6),(4,2),(4,3),(6,4)],7)=>1
[2,1,7,3,5,4,6]=>([(0,5),(0,6),(1,5),(1,6),(2,4),(3,4),(6,2),(6,3)],7)=>1
[2,1,7,3,5,6,4]=>([(0,5),(0,6),(1,5),(1,6),(4,3),(6,2),(6,4)],7)=>2
[2,1,7,3,6,4,5]=>([(0,5),(0,6),(1,5),(1,6),(4,3),(6,2),(6,4)],7)=>2
[2,1,7,3,6,5,4]=>([(0,5),(0,6),(1,5),(1,6),(6,2),(6,3),(6,4)],7)=>4
[2,3,1,4,6,5,7]=>([(0,6),(1,2),(2,6),(3,5),(4,5),(6,3),(6,4)],7)=>0
[2,3,1,7,6,5,4]=>([(0,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>4
[2,3,4,5,1,6,7]=>([(0,6),(1,5),(2,6),(4,2),(5,4),(6,3)],7)=>0
[2,3,4,6,5,1,7]=>([(0,6),(1,4),(2,6),(3,6),(4,5),(5,2),(5,3)],7)=>1
[2,3,4,6,5,7,1]=>([(1,4),(2,6),(3,6),(4,5),(5,2),(5,3)],7)=>1
[2,3,4,7,5,1,6]=>([(0,6),(1,4),(3,6),(4,5),(5,2),(5,3)],7)=>1
[2,3,4,7,6,5,1]=>([(1,5),(5,6),(6,2),(6,3),(6,4)],7)=>4
[2,3,5,4,1,7,6]=>([(0,5),(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,2),(4,3)],7)=>1
[2,3,6,4,1,7,5]=>([(0,5),(0,6),(1,4),(2,6),(3,5),(3,6),(4,2),(4,3)],7)=>1
[2,3,6,5,4,1,7]=>([(0,6),(1,5),(2,6),(3,6),(4,6),(5,2),(5,3),(5,4)],7)=>4
[2,3,7,4,1,6,5]=>([(0,5),(0,6),(1,4),(3,5),(3,6),(4,2),(4,3)],7)=>2
[2,3,7,5,4,1,6]=>([(0,6),(1,5),(3,6),(4,6),(5,2),(5,3),(5,4)],7)=>4
[2,3,7,6,4,1,5]=>([(0,6),(1,5),(4,6),(5,2),(5,3),(5,4)],7)=>5
[2,3,7,6,5,4,1]=>([(1,6),(6,2),(6,3),(6,4),(6,5)],7)=>10
[2,4,1,3,5,7,6]=>([(0,5),(1,4),(1,5),(4,6),(5,6),(6,2),(6,3)],7)=>0
[2,4,1,3,7,6,5]=>([(0,6),(1,2),(1,6),(2,3),(2,4),(2,5),(6,3),(6,4),(6,5)],7)=>1
[2,4,3,5,6,1,7]=>([(0,5),(1,2),(1,3),(2,6),(3,6),(4,5),(6,4)],7)=>1
[2,4,3,5,7,6,1]=>([(1,2),(1,3),(2,6),(3,6),(6,4),(6,5)],7)=>2
[2,4,3,6,5,7,1]=>([(1,2),(1,3),(2,5),(2,6),(3,5),(3,6),(5,4),(6,4)],7)=>2
[2,4,3,6,7,5,1]=>([(1,3),(1,4),(3,5),(3,6),(4,5),(4,6),(6,2)],7)=>3
[2,4,3,7,5,6,1]=>([(1,3),(1,4),(3,5),(3,6),(4,5),(4,6),(6,2)],7)=>3
[2,4,3,7,6,5,1]=>([(1,2),(1,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>5
[2,4,5,1,3,6,7]=>([(0,5),(1,4),(1,5),(3,6),(4,3),(5,6),(6,2)],7)=>0
[2,4,5,1,3,7,6]=>([(0,6),(1,2),(1,6),(2,3),(3,4),(3,5),(6,4),(6,5)],7)=>0
[2,4,5,3,1,7,6]=>([(0,5),(0,6),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,2)],7)=>2
[2,4,5,3,6,7,1]=>([(1,3),(1,5),(2,6),(3,6),(5,2),(6,4)],7)=>2
[2,4,5,7,1,3,6]=>([(0,6),(1,3),(1,6),(3,4),(4,2),(4,5),(6,5)],7)=>0
[2,4,5,7,6,1,3]=>([(0,6),(1,4),(1,6),(4,5),(5,2),(5,3)],7)=>2
[2,4,6,3,5,1,7]=>([(0,6),(1,3),(1,4),(2,6),(3,5),(4,2),(4,5),(5,6)],7)=>3
[2,4,6,5,3,1,7]=>([(0,6),(1,4),(1,5),(2,6),(3,6),(4,6),(5,2),(5,3)],7)=>5
[2,4,7,1,3,5,6]=>([(0,5),(1,4),(1,5),(4,3),(4,6),(5,6),(6,2)],7)=>0
[2,4,7,1,3,6,5]=>([(0,6),(1,3),(1,6),(3,2),(3,4),(3,5),(6,4),(6,5)],7)=>1
[2,4,7,3,5,6,1]=>([(1,3),(1,5),(3,6),(5,2),(5,6),(6,4)],7)=>4
[2,4,7,3,6,5,1]=>([(1,3),(1,4),(3,5),(3,6),(4,2),(4,5),(4,6)],7)=>6
[2,4,7,5,3,1,6]=>([(0,6),(1,4),(1,5),(3,6),(4,6),(5,2),(5,3)],7)=>5
[2,4,7,6,1,3,5]=>([(0,6),(1,4),(1,6),(4,2),(4,3),(4,5),(6,5)],7)=>3
[2,4,7,6,3,5,1]=>([(1,4),(1,5),(4,6),(5,2),(5,3),(5,6)],7)=>8
[2,4,7,6,5,1,3]=>([(0,6),(1,5),(1,6),(5,2),(5,3),(5,4)],7)=>7
[2,4,7,6,5,3,1]=>([(1,5),(1,6),(6,2),(6,3),(6,4)],7)=>11
[2,5,1,3,6,7,4]=>([(0,6),(1,3),(1,6),(3,5),(5,4),(6,2),(6,5)],7)=>0
[2,5,1,3,7,6,4]=>([(0,6),(1,3),(1,6),(3,4),(3,5),(6,2),(6,4),(6,5)],7)=>1
[2,5,3,4,1,7,6]=>([(0,5),(0,6),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,2)],7)=>2
[2,5,3,4,6,7,1]=>([(1,3),(1,5),(2,6),(3,6),(5,2),(6,4)],7)=>2
[2,5,3,6,4,1,7]=>([(0,6),(1,3),(1,4),(2,6),(3,5),(4,2),(4,5),(5,6)],7)=>3
[2,5,3,6,7,4,1]=>([(1,3),(1,5),(3,6),(5,2),(5,6),(6,4)],7)=>4
[2,5,3,7,4,1,6]=>([(0,6),(1,3),(1,4),(2,6),(3,5),(3,6),(4,2),(4,5)],7)=>3
[2,5,3,7,6,4,1]=>([(1,3),(1,4),(3,5),(3,6),(4,2),(4,5),(4,6)],7)=>6
[2,5,4,1,3,6,7]=>([(0,5),(1,2),(1,3),(1,5),(2,6),(3,6),(5,6),(6,4)],7)=>2
[2,5,4,1,3,7,6]=>([(0,4),(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>2
[2,5,4,3,1,6,7]=>([(0,6),(1,2),(1,3),(1,4),(2,6),(3,6),(4,6),(6,5)],7)=>4
[2,5,4,3,6,7,1]=>([(1,2),(1,3),(1,4),(2,6),(3,6),(4,6),(6,5)],7)=>4
[2,5,4,3,7,6,1]=>([(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>5
[2,5,4,6,1,3,7]=>([(0,6),(1,2),(1,3),(1,6),(2,5),(3,5),(5,4),(6,4)],7)=>2
[2,5,4,6,3,7,1]=>([(1,2),(1,3),(1,4),(2,6),(3,5),(4,5),(5,6)],7)=>5
[2,5,4,6,7,1,3]=>([(0,5),(1,3),(1,4),(1,5),(3,6),(4,6),(6,2)],7)=>2
[2,5,4,6,7,3,1]=>([(1,2),(1,3),(1,4),(3,6),(4,6),(6,5)],7)=>6
[2,5,4,7,1,3,6]=>([(0,4),(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,6)],7)=>2
[2,5,4,7,3,6,1]=>([(1,2),(1,3),(1,4),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>6
[2,5,4,7,6,1,3]=>([(0,6),(1,2),(1,3),(1,6),(2,4),(2,5),(3,4),(3,5)],7)=>4
[2,5,4,7,6,3,1]=>([(1,2),(1,3),(1,4),(3,5),(3,6),(4,5),(4,6)],7)=>8
[2,5,6,1,3,7,4]=>([(0,6),(1,4),(1,6),(3,5),(4,3),(6,2),(6,5)],7)=>0
[2,5,6,3,4,1,7]=>([(0,6),(1,4),(1,5),(2,6),(3,6),(4,3),(5,2)],7)=>4
[2,5,6,4,3,1,7]=>([(0,6),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,2)],7)=>7
[2,5,6,4,3,7,1]=>([(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,2)],7)=>7
[2,5,6,4,7,3,1]=>([(1,2),(1,4),(1,5),(3,6),(4,6),(5,3)],7)=>8
[2,5,6,7,1,3,4]=>([(0,6),(1,5),(1,6),(4,2),(5,4),(6,3)],7)=>0
[2,5,6,7,4,3,1]=>([(1,3),(1,4),(1,6),(5,2),(6,5)],7)=>10
[2,5,7,1,3,6,4]=>([(0,6),(1,4),(1,6),(4,3),(4,5),(6,2),(6,5)],7)=>1
[2,5,7,3,4,1,6]=>([(0,6),(1,4),(1,5),(3,6),(4,3),(5,2),(5,6)],7)=>4
[2,5,7,3,6,4,1]=>([(1,4),(1,5),(4,3),(4,6),(5,2),(5,6)],7)=>7
[2,5,7,4,1,3,6]=>([(0,5),(1,3),(1,4),(1,5),(3,6),(4,2),(4,6),(5,6)],7)=>4
[2,5,7,4,3,1,6]=>([(0,6),(1,3),(1,4),(1,5),(3,6),(4,6),(5,2),(5,6)],7)=>7
[2,5,7,4,3,6,1]=>([(1,3),(1,4),(1,5),(3,6),(4,6),(5,2),(5,6)],7)=>8
[2,5,7,4,6,1,3]=>([(0,6),(1,3),(1,4),(1,6),(3,5),(4,2),(4,5)],7)=>6
[2,5,7,4,6,3,1]=>([(1,3),(1,4),(1,5),(4,6),(5,2),(5,6)],7)=>10
[2,5,7,6,1,3,4]=>([(0,6),(1,5),(1,6),(5,2),(5,3),(6,4)],7)=>3
[2,5,7,6,3,4,1]=>([(1,5),(1,6),(5,4),(6,2),(6,3)],7)=>9
[2,5,7,6,4,1,3]=>([(0,6),(1,4),(1,5),(1,6),(5,2),(5,3)],7)=>9
[2,5,7,6,4,3,1]=>([(1,4),(1,5),(1,6),(6,2),(6,3)],7)=>13
[2,6,1,3,5,4,7]=>([(0,5),(1,2),(1,5),(2,6),(3,6),(4,6),(5,3),(5,4)],7)=>1
[2,6,1,3,7,5,4]=>([(0,6),(1,4),(1,6),(4,5),(6,2),(6,3),(6,5)],7)=>2
[2,6,3,4,1,5,7]=>([(0,6),(1,3),(1,4),(2,6),(3,5),(4,2),(6,5)],7)=>2
[2,6,3,4,1,7,5]=>([(0,5),(0,6),(1,2),(1,4),(2,6),(3,5),(3,6),(4,3)],7)=>2
[2,6,3,5,4,1,7]=>([(0,6),(1,4),(1,5),(2,6),(3,6),(4,6),(5,2),(5,3)],7)=>5
[2,6,3,7,4,1,5]=>([(0,6),(1,3),(1,4),(2,6),(3,5),(4,2),(4,5)],7)=>3
[2,6,3,7,5,4,1]=>([(1,4),(1,5),(4,6),(5,2),(5,3),(5,6)],7)=>8
[2,6,4,1,3,7,5]=>([(0,4),(1,2),(1,3),(1,4),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>2
[2,6,4,3,1,5,7]=>([(0,6),(1,2),(1,3),(1,4),(2,6),(3,6),(4,5),(6,5)],7)=>4
[2,6,4,3,5,7,1]=>([(1,2),(1,3),(1,4),(2,6),(3,5),(4,5),(5,6)],7)=>5
[2,6,4,3,7,5,1]=>([(1,2),(1,3),(1,4),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>6
[2,6,4,5,3,1,7]=>([(0,6),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,2)],7)=>7
[2,6,4,5,3,7,1]=>([(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,2)],7)=>7
[2,6,4,5,7,3,1]=>([(1,2),(1,4),(1,5),(3,6),(4,6),(5,3)],7)=>8
[2,6,4,7,1,3,5]=>([(0,6),(1,2),(1,3),(1,6),(2,5),(3,4),(3,5),(6,4)],7)=>2
[2,6,4,7,3,5,1]=>([(1,2),(1,3),(1,4),(2,6),(3,5),(4,5),(4,6)],7)=>7
[2,6,4,7,5,1,3]=>([(0,6),(1,3),(1,4),(1,6),(3,5),(4,2),(4,5)],7)=>6
[2,6,4,7,5,3,1]=>([(1,3),(1,4),(1,5),(4,6),(5,2),(5,6)],7)=>10
[2,6,5,1,3,7,4]=>([(0,5),(1,2),(1,3),(1,5),(2,6),(3,6),(5,4),(5,6)],7)=>3
[2,6,5,3,4,1,7]=>([(0,6),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,2)],7)=>7
[2,6,5,3,4,7,1]=>([(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,2)],7)=>7
[2,6,5,3,7,4,1]=>([(1,3),(1,4),(1,5),(3,6),(4,6),(5,2),(5,6)],7)=>8
[2,6,5,4,1,3,7]=>([(0,5),(1,2),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,6)],7)=>7
[2,6,5,4,3,1,7]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,6)],7)=>10
[2,6,5,4,3,7,1]=>([(1,2),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,6)],7)=>10
[2,6,5,4,7,1,3]=>([(0,5),(1,2),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6)],7)=>7
[2,6,5,4,7,3,1]=>([(1,2),(1,3),(1,4),(1,5),(3,6),(4,6),(5,6)],7)=>11
[2,6,5,7,1,3,4]=>([(0,6),(1,3),(1,4),(1,6),(3,5),(4,5),(6,2)],7)=>3
[2,6,5,7,3,4,1]=>([(1,3),(1,4),(1,5),(3,6),(4,6),(5,2)],7)=>9
[2,6,5,7,4,1,3]=>([(0,6),(1,2),(1,3),(1,4),(1,6),(3,5),(4,5)],7)=>9
[2,6,5,7,4,3,1]=>([(1,2),(1,3),(1,4),(1,5),(4,6),(5,6)],7)=>13
[2,6,7,1,3,5,4]=>([(0,6),(1,5),(1,6),(5,2),(6,3),(6,4)],7)=>2
[2,6,7,3,4,1,5]=>([(0,6),(1,4),(1,5),(3,6),(4,2),(5,3)],7)=>4
[2,6,7,3,5,4,1]=>([(1,5),(1,6),(5,4),(6,2),(6,3)],7)=>9
[2,6,7,4,1,3,5]=>([(0,6),(1,3),(1,4),(1,6),(3,5),(4,2),(6,5)],7)=>4
[2,6,7,4,3,1,5]=>([(0,6),(1,3),(1,4),(1,5),(3,6),(4,6),(5,2)],7)=>7
[2,6,7,4,3,5,1]=>([(1,3),(1,4),(1,5),(3,6),(4,6),(5,2)],7)=>9
[2,6,7,4,5,1,3]=>([(0,6),(1,4),(1,5),(1,6),(4,3),(5,2)],7)=>8
[2,6,7,4,5,3,1]=>([(1,4),(1,5),(1,6),(5,3),(6,2)],7)=>12
[2,6,7,5,1,3,4]=>([(0,6),(1,3),(1,5),(1,6),(5,2),(6,4)],7)=>6
[2,6,7,5,3,1,4]=>([(0,6),(1,3),(1,4),(1,5),(4,6),(5,2)],7)=>9
[2,6,7,5,3,4,1]=>([(1,4),(1,5),(1,6),(5,3),(6,2)],7)=>12
[2,6,7,5,4,1,3]=>([(0,6),(1,3),(1,4),(1,5),(1,6),(5,2)],7)=>12
[2,6,7,5,4,3,1]=>([(1,3),(1,4),(1,5),(1,6),(6,2)],7)=>16
[2,7,1,3,5,4,6]=>([(0,6),(1,2),(1,6),(3,5),(4,5),(6,3),(6,4)],7)=>1
[2,7,1,3,6,5,4]=>([(0,6),(1,2),(1,6),(6,3),(6,4),(6,5)],7)=>4
[2,7,3,4,1,6,5]=>([(0,5),(0,6),(1,2),(1,4),(3,5),(3,6),(4,3)],7)=>3
[2,7,3,5,4,1,6]=>([(0,6),(1,2),(1,5),(3,6),(4,6),(5,3),(5,4)],7)=>5
[2,7,3,6,4,1,5]=>([(0,6),(1,3),(1,5),(4,6),(5,2),(5,4)],7)=>6
[2,7,3,6,5,4,1]=>([(1,5),(1,6),(6,2),(6,3),(6,4)],7)=>11
[2,7,4,1,3,5,6]=>([(0,5),(1,3),(1,4),(1,5),(4,6),(5,6),(6,2)],7)=>2
[2,7,4,1,3,6,5]=>([(0,6),(1,2),(1,3),(1,6),(3,4),(3,5),(6,4),(6,5)],7)=>3
[2,7,4,3,1,5,6]=>([(0,6),(1,2),(1,3),(1,4),(3,6),(4,6),(6,5)],7)=>4
[2,7,4,3,5,6,1]=>([(1,2),(1,3),(1,4),(3,6),(4,6),(6,5)],7)=>6
[2,7,4,3,6,5,1]=>([(1,2),(1,3),(1,4),(3,5),(3,6),(4,5),(4,6)],7)=>8
[2,7,4,5,3,1,6]=>([(0,6),(1,2),(1,4),(1,5),(3,6),(4,6),(5,3)],7)=>7
[2,7,4,5,3,6,1]=>([(1,2),(1,4),(1,5),(3,6),(4,6),(5,3)],7)=>8
[2,7,4,5,6,3,1]=>([(1,3),(1,4),(1,6),(5,2),(6,5)],7)=>10
[2,7,4,6,1,3,5]=>([(0,6),(1,3),(1,4),(1,6),(4,2),(4,5),(6,5)],7)=>5
[2,7,4,6,3,1,5]=>([(0,6),(1,3),(1,4),(1,5),(4,6),(5,2),(5,6)],7)=>8
[2,7,4,6,3,5,1]=>([(1,3),(1,4),(1,5),(4,6),(5,2),(5,6)],7)=>10
[2,7,4,6,5,1,3]=>([(0,6),(1,4),(1,5),(1,6),(5,2),(5,3)],7)=>9
[2,7,4,6,5,3,1]=>([(1,4),(1,5),(1,6),(6,2),(6,3)],7)=>13
[2,7,5,1,3,6,4]=>([(0,6),(1,3),(1,4),(1,6),(4,5),(6,2),(6,5)],7)=>4
[2,7,5,3,1,4,6]=>([(0,6),(1,2),(1,3),(1,4),(3,6),(4,5),(6,5)],7)=>5
[2,7,5,3,4,1,6]=>([(0,6),(1,2),(1,4),(1,5),(3,6),(4,6),(5,3)],7)=>7
[2,7,5,3,4,6,1]=>([(1,2),(1,4),(1,5),(3,6),(4,6),(5,3)],7)=>8
[2,7,5,3,6,4,1]=>([(1,3),(1,4),(1,5),(4,6),(5,2),(5,6)],7)=>10
[2,7,5,4,1,3,6]=>([(0,5),(1,2),(1,3),(1,4),(1,5),(3,6),(4,6),(5,6)],7)=>7
[2,7,5,4,3,1,6]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(3,6),(4,6),(5,6)],7)=>10
[2,7,5,4,3,6,1]=>([(1,2),(1,3),(1,4),(1,5),(3,6),(4,6),(5,6)],7)=>11
[2,7,5,4,6,1,3]=>([(0,6),(1,2),(1,3),(1,4),(1,6),(3,5),(4,5)],7)=>9
[2,7,5,4,6,3,1]=>([(1,2),(1,3),(1,4),(1,5),(4,6),(5,6)],7)=>13
[2,7,5,6,1,3,4]=>([(0,6),(1,3),(1,5),(1,6),(5,2),(6,4)],7)=>6
[2,7,5,6,3,1,4]=>([(0,6),(1,3),(1,4),(1,5),(4,6),(5,2)],7)=>9
[2,7,5,6,3,4,1]=>([(1,4),(1,5),(1,6),(5,3),(6,2)],7)=>12
[2,7,5,6,4,1,3]=>([(0,6),(1,3),(1,4),(1,5),(1,6),(5,2)],7)=>12
[2,7,5,6,4,3,1]=>([(1,3),(1,4),(1,5),(1,6),(6,2)],7)=>16
[2,7,6,1,3,5,4]=>([(0,6),(1,2),(1,3),(1,6),(6,4),(6,5)],7)=>6
[2,7,6,3,1,4,5]=>([(0,6),(1,2),(1,3),(1,4),(4,6),(6,5)],7)=>6
[2,7,6,3,4,1,5]=>([(0,6),(1,2),(1,3),(1,5),(4,6),(5,4)],7)=>8
[2,7,6,3,4,5,1]=>([(1,3),(1,4),(1,6),(5,2),(6,5)],7)=>10
[2,7,6,3,5,4,1]=>([(1,4),(1,5),(1,6),(6,2),(6,3)],7)=>13
[2,7,6,4,1,3,5]=>([(0,6),(1,2),(1,3),(1,4),(1,6),(4,5),(6,5)],7)=>8
[2,7,6,4,3,1,5]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(4,6),(5,6)],7)=>11
[2,7,6,4,3,5,1]=>([(1,2),(1,3),(1,4),(1,5),(4,6),(5,6)],7)=>13
[2,7,6,4,5,1,3]=>([(0,6),(1,3),(1,4),(1,5),(1,6),(5,2)],7)=>12
[2,7,6,4,5,3,1]=>([(1,3),(1,4),(1,5),(1,6),(6,2)],7)=>16
[2,7,6,5,1,3,4]=>([(0,6),(1,2),(1,3),(1,4),(1,6),(6,5)],7)=>10
[2,7,6,5,3,1,4]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(5,6)],7)=>13
[2,7,6,5,3,4,1]=>([(1,3),(1,4),(1,5),(1,6),(6,2)],7)=>16
[2,7,6,5,4,1,3]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>16
[2,7,6,5,4,3,1]=>([(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>20
[3,1,2,4,6,5,7]=>([(0,6),(1,2),(2,6),(3,5),(4,5),(6,3),(6,4)],7)=>0
[3,1,2,7,6,5,4]=>([(0,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>4
[3,1,4,2,5,7,6]=>([(0,5),(1,4),(1,5),(4,6),(5,6),(6,2),(6,3)],7)=>0
[3,1,4,2,7,6,5]=>([(0,6),(1,2),(1,6),(2,3),(2,4),(2,5),(6,3),(6,4),(6,5)],7)=>1
[3,1,4,6,5,2,7]=>([(0,5),(1,2),(1,5),(2,6),(3,6),(4,6),(5,3),(5,4)],7)=>1
[3,1,4,6,5,7,2]=>([(0,6),(1,2),(1,6),(3,5),(4,5),(6,3),(6,4)],7)=>1
[3,1,4,7,2,5,6]=>([(0,6),(1,3),(1,6),(3,5),(5,4),(6,2),(6,5)],7)=>0
[3,1,4,7,2,6,5]=>([(0,6),(1,3),(1,6),(3,4),(3,5),(6,2),(6,4),(6,5)],7)=>1
[3,1,4,7,6,2,5]=>([(0,6),(1,4),(1,6),(4,5),(6,2),(6,3),(6,5)],7)=>2
[3,1,4,7,6,5,2]=>([(0,6),(1,2),(1,6),(6,3),(6,4),(6,5)],7)=>4
[3,2,1,4,5,6,7]=>([(0,6),(1,6),(2,6),(3,5),(5,4),(6,3)],7)=>1
[3,2,1,4,5,7,6]=>([(0,6),(1,6),(2,6),(3,4),(3,5),(6,3)],7)=>1
[3,2,1,4,6,5,7]=>([(0,6),(1,6),(2,6),(3,5),(4,5),(6,3),(6,4)],7)=>1
[3,2,1,4,6,7,5]=>([(0,6),(1,6),(2,6),(4,5),(6,3),(6,4)],7)=>1
[3,2,1,4,7,5,6]=>([(0,6),(1,6),(2,6),(4,5),(6,3),(6,4)],7)=>1
[3,2,1,4,7,6,5]=>([(0,6),(1,6),(2,6),(6,3),(6,4),(6,5)],7)=>2
[3,2,1,5,4,6,7]=>([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(4,3),(5,4),(6,4)],7)=>1
[3,2,1,5,4,7,6]=>([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(5,3),(5,4),(6,3),(6,4)],7)=>1
[3,2,1,5,6,4,7]=>([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(5,4),(6,3)],7)=>1
[3,2,1,5,6,7,4]=>([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(6,3)],7)=>1
[3,2,1,5,7,4,6]=>([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(5,4),(6,3),(6,4)],7)=>1
[3,2,1,5,7,6,4]=>([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(6,3),(6,4)],7)=>2
[3,2,1,6,4,5,7]=>([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(5,4),(6,3)],7)=>1
[3,2,1,6,4,7,5]=>([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(5,4),(6,3),(6,4)],7)=>1
[3,2,1,6,7,4,5]=>([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(5,4),(6,3)],7)=>1
[3,2,1,7,4,5,6]=>([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(6,3)],7)=>1
[3,2,1,7,4,6,5]=>([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(6,3),(6,4)],7)=>2
[3,2,4,1,5,6,7]=>([(0,6),(1,5),(2,5),(3,4),(5,6),(6,3)],7)=>1
[3,2,4,1,5,7,6]=>([(0,6),(1,5),(2,5),(5,6),(6,3),(6,4)],7)=>1
[3,2,4,1,6,5,7]=>([(0,6),(1,6),(2,4),(2,5),(4,3),(5,3),(6,4),(6,5)],7)=>1
[3,2,4,1,6,7,5]=>([(0,5),(0,6),(1,4),(2,4),(4,5),(4,6),(6,3)],7)=>1
[3,2,4,1,7,5,6]=>([(0,5),(0,6),(1,4),(2,4),(4,5),(4,6),(6,3)],7)=>1
[3,2,4,1,7,6,5]=>([(0,6),(1,6),(2,3),(2,4),(2,5),(6,3),(6,4),(6,5)],7)=>2
[3,2,4,5,1,6,7]=>([(0,6),(1,5),(2,5),(4,6),(5,4),(6,3)],7)=>1
[3,2,4,5,1,7,6]=>([(0,4),(1,4),(2,5),(2,6),(3,5),(3,6),(4,3)],7)=>1
[3,2,4,5,6,1,7]=>([(0,6),(1,6),(2,5),(3,4),(4,5),(6,3)],7)=>1
[3,2,4,5,6,7,1]=>([(1,6),(2,6),(3,5),(5,4),(6,3)],7)=>1
[3,2,4,5,7,1,6]=>([(0,6),(1,5),(2,5),(3,4),(3,6),(5,3)],7)=>1
[3,2,4,5,7,6,1]=>([(1,6),(2,6),(3,4),(3,5),(6,3)],7)=>2
[3,2,4,6,1,5,7]=>([(0,5),(1,5),(2,4),(3,6),(4,6),(5,3),(5,4)],7)=>1
[3,2,4,6,1,7,5]=>([(0,5),(1,5),(2,4),(2,6),(3,6),(5,3),(5,4)],7)=>1
[3,2,4,6,5,1,7]=>([(0,6),(1,5),(2,5),(3,6),(4,6),(5,3),(5,4)],7)=>2
[3,2,4,6,5,7,1]=>([(1,5),(2,5),(3,6),(4,6),(5,3),(5,4)],7)=>2
[3,2,4,6,7,1,5]=>([(0,6),(1,6),(2,5),(3,4),(6,3),(6,5)],7)=>1
[3,2,4,6,7,5,1]=>([(1,6),(2,6),(4,5),(6,3),(6,4)],7)=>3
[3,2,4,7,1,5,6]=>([(0,6),(1,5),(2,5),(5,3),(5,6),(6,4)],7)=>1
[3,2,4,7,1,6,5]=>([(0,6),(1,6),(2,4),(2,5),(6,3),(6,4),(6,5)],7)=>2
[3,2,4,7,5,1,6]=>([(0,6),(1,5),(2,5),(4,6),(5,3),(5,4)],7)=>2
[3,2,4,7,5,6,1]=>([(1,6),(2,6),(4,5),(6,3),(6,4)],7)=>3
[3,2,4,7,6,1,5]=>([(0,6),(1,6),(2,5),(6,3),(6,4),(6,5)],7)=>3
[3,2,4,7,6,5,1]=>([(1,6),(2,6),(6,3),(6,4),(6,5)],7)=>5
[3,2,5,1,4,6,7]=>([(0,6),(1,4),(1,6),(2,4),(2,6),(4,5),(5,3),(6,5)],7)=>1
[3,2,5,1,4,7,6]=>([(0,6),(1,3),(1,6),(2,3),(2,6),(3,4),(3,5),(6,4),(6,5)],7)=>1
[3,2,5,1,6,4,7]=>([(0,3),(0,6),(1,3),(1,6),(2,5),(2,6),(3,5),(5,4),(6,4)],7)=>1
[3,2,5,1,6,7,4]=>([(0,5),(0,6),(1,4),(1,6),(2,4),(2,6),(4,5),(5,3)],7)=>1
[3,2,5,1,7,4,6]=>([(0,3),(0,6),(1,3),(1,6),(2,4),(2,6),(3,4),(3,5),(6,5)],7)=>1
[3,2,5,1,7,6,4]=>([(0,3),(0,6),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5)],7)=>2
[3,2,5,4,1,6,7]=>([(0,6),(1,4),(1,5),(2,4),(2,5),(4,6),(5,6),(6,3)],7)=>2
[3,2,5,4,1,7,6]=>([(0,5),(0,6),(1,3),(1,4),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7)=>2
[3,2,5,4,6,1,7]=>([(0,3),(1,5),(1,6),(2,5),(2,6),(4,3),(5,4),(6,4)],7)=>2
[3,2,5,4,6,7,1]=>([(1,4),(1,5),(2,4),(2,5),(4,6),(5,6),(6,3)],7)=>2
[3,2,5,4,7,1,6]=>([(0,6),(1,3),(1,4),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7)=>2
[3,2,5,4,7,6,1]=>([(1,5),(1,6),(2,5),(2,6),(5,3),(5,4),(6,3),(6,4)],7)=>3
[3,2,5,6,1,4,7]=>([(0,6),(1,4),(1,6),(2,4),(2,6),(3,5),(4,3),(6,5)],7)=>1
[3,2,5,6,1,7,4]=>([(0,5),(0,6),(1,4),(1,6),(2,4),(2,6),(3,5),(4,3)],7)=>1
[3,2,5,6,4,1,7]=>([(0,6),(1,4),(1,5),(2,4),(2,5),(3,6),(4,6),(5,3)],7)=>3
[3,2,5,6,4,7,1]=>([(1,4),(1,5),(2,4),(2,5),(3,6),(4,6),(5,3)],7)=>3
[3,2,5,6,7,1,4]=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(5,3)],7)=>1
[3,2,5,6,7,4,1]=>([(1,5),(1,6),(2,5),(2,6),(3,4),(6,3)],7)=>4
[3,2,5,7,1,4,6]=>([(0,6),(1,5),(1,6),(2,5),(2,6),(5,3),(5,4),(6,4)],7)=>1
[3,2,5,7,1,6,4]=>([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(5,3),(5,4)],7)=>2
[3,2,5,7,4,1,6]=>([(0,6),(1,4),(1,5),(2,4),(2,5),(4,6),(5,3),(5,6)],7)=>3
[3,2,5,7,4,6,1]=>([(1,4),(1,6),(2,4),(2,6),(4,5),(6,3),(6,5)],7)=>4
[3,2,5,7,6,1,4]=>([(0,6),(1,5),(1,6),(2,5),(2,6),(5,3),(5,4)],7)=>3
[3,2,5,7,6,4,1]=>([(1,5),(1,6),(2,5),(2,6),(6,3),(6,4)],7)=>6
[3,2,6,1,4,5,7]=>([(0,6),(1,4),(1,6),(2,4),(2,6),(3,5),(4,5),(6,3)],7)=>1
[3,2,6,1,4,7,5]=>([(0,6),(1,4),(1,6),(2,4),(2,6),(4,5),(6,3),(6,5)],7)=>1
[3,2,6,1,7,4,5]=>([(0,5),(0,6),(1,4),(1,6),(2,4),(2,6),(4,5),(6,3)],7)=>1
[3,2,6,4,1,5,7]=>([(0,4),(1,5),(1,6),(2,5),(2,6),(4,3),(5,4),(6,3)],7)=>2
[3,2,6,4,1,7,5]=>([(0,5),(0,6),(1,3),(1,4),(2,3),(2,4),(3,6),(4,5),(4,6)],7)=>2
[3,2,6,4,5,1,7]=>([(0,6),(1,4),(1,5),(2,4),(2,5),(3,6),(4,6),(5,3)],7)=>3
[3,2,6,4,5,7,1]=>([(1,4),(1,5),(2,4),(2,5),(3,6),(4,6),(5,3)],7)=>3
[3,2,6,4,7,1,5]=>([(0,4),(1,5),(1,6),(2,5),(2,6),(5,3),(6,3),(6,4)],7)=>2
[3,2,6,4,7,5,1]=>([(1,4),(1,6),(2,4),(2,6),(4,5),(6,3),(6,5)],7)=>4
[3,2,6,5,1,4,7]=>([(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)=>3
[3,2,6,5,7,1,4]=>([(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,6),(3,5),(4,5)],7)=>3
[3,2,6,7,1,4,5]=>([(0,6),(1,5),(1,6),(2,5),(2,6),(5,4),(6,3)],7)=>1
[3,2,6,7,4,1,5]=>([(0,5),(1,4),(1,6),(2,4),(2,6),(4,5),(6,3)],7)=>3
[3,2,6,7,4,5,1]=>([(1,5),(1,6),(2,5),(2,6),(5,4),(6,3)],7)=>5
[3,2,6,7,5,1,4]=>([(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(5,3)],7)=>5
[3,2,7,1,4,5,6]=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(6,3)],7)=>1
[3,2,7,1,4,6,5]=>([(0,6),(1,5),(1,6),(2,5),(2,6),(6,3),(6,4)],7)=>2
[3,2,7,4,1,5,6]=>([(0,6),(1,4),(1,5),(2,4),(2,5),(5,6),(6,3)],7)=>2
[3,2,7,4,1,6,5]=>([(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(6,3),(6,4)],7)=>3
[3,2,7,4,5,1,6]=>([(0,6),(1,4),(1,5),(2,4),(2,5),(3,6),(5,3)],7)=>3
[3,2,7,4,5,6,1]=>([(1,5),(1,6),(2,5),(2,6),(3,4),(6,3)],7)=>4
[3,2,7,4,6,1,5]=>([(0,5),(1,4),(1,6),(2,4),(2,6),(6,3),(6,5)],7)=>4
[3,2,7,4,6,5,1]=>([(1,5),(1,6),(2,5),(2,6),(6,3),(6,4)],7)=>6
[3,2,7,5,1,4,6]=>([(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,6),(4,5),(6,5)],7)=>3
[3,2,7,5,6,1,4]=>([(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(5,3)],7)=>5
[3,2,7,6,1,4,5]=>([(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(6,3)],7)=>4
[3,4,1,7,6,5,2]=>([(0,3),(1,2),(1,4),(1,5),(1,6),(3,4),(3,5),(3,6)],7)=>4
[3,4,2,1,5,6,7]=>([(0,6),(1,6),(2,3),(3,6),(4,5),(6,4)],7)=>2
[3,4,2,1,5,7,6]=>([(0,6),(1,6),(2,3),(3,6),(6,4),(6,5)],7)=>2
[3,4,2,1,6,5,7]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(3,5),(3,6),(5,4),(6,4)],7)=>2
[3,4,2,1,6,7,5]=>([(0,5),(0,6),(1,5),(1,6),(2,4),(4,5),(4,6),(6,3)],7)=>2
[3,4,2,1,7,5,6]=>([(0,5),(0,6),(1,5),(1,6),(2,4),(4,5),(4,6),(6,3)],7)=>2
[3,4,2,5,6,1,7]=>([(0,6),(1,5),(2,3),(3,6),(4,5),(6,4)],7)=>2
[3,4,5,2,1,6,7]=>([(0,6),(1,6),(2,3),(3,5),(5,6),(6,4)],7)=>3
[3,4,5,2,1,7,6]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(3,4),(4,5),(4,6)],7)=>3
[3,4,5,6,2,1,7]=>([(0,3),(1,6),(2,6),(3,5),(4,6),(5,4)],7)=>4
[3,4,5,6,2,7,1]=>([(1,3),(2,6),(3,5),(4,6),(5,4)],7)=>4
[3,4,5,7,2,1,6]=>([(0,3),(1,6),(2,6),(3,5),(5,4),(5,6)],7)=>4
[3,4,5,7,6,2,1]=>([(2,5),(5,6),(6,3),(6,4)],7)=>7
[3,4,6,2,1,5,7]=>([(0,6),(1,6),(2,3),(3,4),(3,6),(4,5),(6,5)],7)=>3
[3,4,6,2,1,7,5]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(3,4),(3,6),(4,5)],7)=>3
[3,4,6,5,2,1,7]=>([(0,3),(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7)=>6
[3,4,6,7,2,1,5]=>([(0,3),(1,6),(2,6),(3,5),(3,6),(5,4)],7)=>4
[3,4,7,2,1,5,6]=>([(0,6),(1,6),(2,3),(3,5),(3,6),(6,4)],7)=>3
[3,4,7,2,1,6,5]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(3,4),(3,5),(3,6)],7)=>4
[3,4,7,5,2,1,6]=>([(0,3),(1,6),(2,6),(3,4),(3,5),(5,6)],7)=>6
[3,4,7,6,2,1,5]=>([(0,3),(1,6),(2,6),(3,4),(3,5),(3,6)],7)=>7
[3,4,7,6,5,2,1]=>([(2,6),(6,3),(6,4),(6,5)],7)=>12
[3,5,2,1,4,6,7]=>([(0,6),(1,6),(2,3),(2,6),(3,5),(5,4),(6,5)],7)=>2
[3,5,2,1,4,7,6]=>([(0,6),(1,6),(2,3),(2,6),(3,4),(3,5),(6,4),(6,5)],7)=>2
[3,5,2,1,6,4,7]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(3,6),(5,4),(6,4)],7)=>2
[3,5,2,1,6,7,4]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(3,6),(6,4)],7)=>2
[3,5,2,1,7,4,6]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(3,4),(3,6),(5,4)],7)=>2
[3,5,2,4,6,7,1]=>([(1,5),(2,3),(2,5),(3,6),(5,6),(6,4)],7)=>3
[3,5,2,4,7,6,1]=>([(1,4),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7)=>4
[3,5,4,2,1,6,7]=>([(0,6),(1,6),(2,3),(2,4),(3,6),(4,6),(6,5)],7)=>5
[3,5,4,2,1,7,6]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7)=>5
[3,5,4,6,2,1,7]=>([(0,6),(1,6),(2,3),(2,4),(3,5),(4,5),(5,6)],7)=>6
[3,5,4,6,7,2,1]=>([(2,3),(2,4),(3,6),(4,6),(6,5)],7)=>7
[3,5,4,7,2,1,6]=>([(0,6),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7)=>6
[3,5,4,7,6,2,1]=>([(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7)=>9
[3,5,6,2,1,4,7]=>([(0,6),(1,6),(2,3),(2,6),(3,4),(4,5),(6,5)],7)=>3
[3,5,6,2,1,7,4]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(3,4),(4,6)],7)=>3
[3,5,6,2,4,7,1]=>([(1,5),(2,3),(2,5),(3,4),(4,6),(5,6)],7)=>5
[3,5,6,4,2,1,7]=>([(0,6),(1,6),(2,3),(2,4),(3,5),(4,6),(5,6)],7)=>8
[3,5,6,4,7,2,1]=>([(2,3),(2,4),(3,5),(4,6),(5,6)],7)=>9
[3,5,6,7,2,1,4]=>([(0,6),(1,6),(2,3),(2,6),(3,5),(5,4)],7)=>4
[3,5,6,7,2,4,1]=>([(1,6),(2,3),(2,6),(3,5),(5,4)],7)=>7
[3,5,7,2,1,4,6]=>([(0,6),(1,6),(2,3),(2,6),(3,4),(3,5),(6,5)],7)=>3
[3,5,7,2,1,6,4]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(3,4),(3,6)],7)=>4
[3,5,7,2,4,6,1]=>([(1,5),(2,3),(2,5),(3,4),(3,6),(5,6)],7)=>6
[3,5,7,4,2,1,6]=>([(0,6),(1,6),(2,3),(2,4),(3,6),(4,5),(4,6)],7)=>8
[3,5,7,4,6,2,1]=>([(2,3),(2,4),(3,6),(4,5),(4,6)],7)=>11
[3,5,7,6,2,1,4]=>([(0,6),(1,6),(2,3),(2,6),(3,4),(3,5)],7)=>7
[3,5,7,6,2,4,1]=>([(1,6),(2,3),(2,6),(3,4),(3,5)],7)=>10
[3,5,7,6,4,2,1]=>([(2,5),(2,6),(6,3),(6,4)],7)=>14
[3,6,2,1,4,5,7]=>([(0,6),(1,6),(2,3),(2,6),(3,5),(4,5),(6,4)],7)=>2
[3,6,2,1,4,7,5]=>([(0,6),(1,6),(2,4),(2,6),(4,5),(6,3),(6,5)],7)=>2
[3,6,2,1,5,4,7]=>([(0,4),(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)=>3
[3,6,2,1,5,7,4]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(6,4)],7)=>3
[3,6,2,1,7,4,5]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(3,6),(5,4)],7)=>2
[3,6,2,4,5,1,7]=>([(0,6),(1,5),(2,3),(2,5),(3,6),(4,6),(5,4)],7)=>4
[3,6,2,4,7,5,1]=>([(1,5),(2,3),(2,5),(3,6),(5,4),(5,6)],7)=>5
[3,6,4,2,1,5,7]=>([(0,6),(1,6),(2,3),(2,4),(3,6),(4,5),(6,5)],7)=>5
[3,6,4,2,1,7,5]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(3,6),(4,5),(4,6)],7)=>5
[3,6,4,5,2,1,7]=>([(0,6),(1,6),(2,3),(2,4),(3,5),(4,6),(5,6)],7)=>8
[3,6,4,5,7,2,1]=>([(2,3),(2,4),(3,5),(4,6),(5,6)],7)=>9
[3,6,4,7,2,1,5]=>([(0,6),(1,6),(2,3),(2,4),(3,5),(4,5),(4,6)],7)=>6
[3,6,4,7,5,2,1]=>([(2,3),(2,4),(3,6),(4,5),(4,6)],7)=>11
[3,6,5,2,1,4,7]=>([(0,5),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)=>6
[3,6,5,2,1,7,4]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(3,6),(4,6)],7)=>6
[3,6,5,2,4,7,1]=>([(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)=>8
[3,6,5,4,2,1,7]=>([(0,6),(1,6),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)=>11
[3,6,5,4,2,7,1]=>([(1,6),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)=>11
[3,6,5,4,7,2,1]=>([(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)=>12
[3,6,5,7,2,1,4]=>([(0,6),(1,6),(2,3),(2,4),(2,6),(3,5),(4,5)],7)=>7
[3,6,5,7,2,4,1]=>([(1,5),(2,3),(2,4),(2,5),(3,6),(4,6)],7)=>10
[3,6,5,7,4,2,1]=>([(2,3),(2,4),(2,5),(4,6),(5,6)],7)=>14
[3,6,7,2,1,4,5]=>([(0,6),(1,6),(2,3),(2,6),(3,5),(6,4)],7)=>3
[3,6,7,2,1,5,4]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4)],7)=>5
[3,6,7,2,4,5,1]=>([(1,6),(2,3),(2,6),(3,5),(6,4)],7)=>7
[3,6,7,4,2,1,5]=>([(0,6),(1,6),(2,3),(2,4),(3,5),(4,6)],7)=>8
[3,6,7,4,5,2,1]=>([(2,5),(2,6),(5,4),(6,3)],7)=>13
[3,6,7,5,2,1,4]=>([(0,6),(1,6),(2,3),(2,4),(2,6),(4,5)],7)=>10
[3,6,7,5,2,4,1]=>([(1,6),(2,3),(2,4),(2,6),(4,5)],7)=>13
[3,6,7,5,4,2,1]=>([(2,4),(2,5),(2,6),(6,3)],7)=>17
[3,7,1,2,6,5,4]=>([(0,3),(1,2),(1,4),(1,5),(1,6),(3,4),(3,5),(3,6)],7)=>4
[3,7,2,1,4,5,6]=>([(0,6),(1,6),(2,3),(2,6),(4,5),(6,4)],7)=>2
[3,7,2,1,4,6,5]=>([(0,6),(1,6),(2,3),(2,6),(6,4),(6,5)],7)=>3
[3,7,2,1,5,4,6]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(2,6),(5,4),(6,4)],7)=>3
[3,7,2,1,5,6,4]=>([(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(6,3)],7)=>4
[3,7,2,1,6,4,5]=>([(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(6,3)],7)=>4
[3,7,2,4,5,1,6]=>([(0,6),(1,5),(2,3),(2,5),(4,6),(5,4)],7)=>4
[3,7,2,4,6,5,1]=>([(1,6),(2,3),(2,6),(6,4),(6,5)],7)=>7
[3,7,4,2,1,5,6]=>([(0,6),(1,6),(2,3),(2,4),(4,6),(6,5)],7)=>5
[3,7,4,2,1,6,5]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(4,5),(4,6)],7)=>6
[3,7,4,5,2,1,6]=>([(0,6),(1,6),(2,3),(2,4),(4,5),(5,6)],7)=>8
[3,7,4,6,2,1,5]=>([(0,6),(1,6),(2,3),(2,4),(4,5),(4,6)],7)=>9
[3,7,4,6,5,2,1]=>([(2,5),(2,6),(6,3),(6,4)],7)=>14
[3,7,5,2,1,4,6]=>([(0,6),(1,6),(2,3),(2,4),(2,6),(4,5),(6,5)],7)=>6
[3,7,5,2,1,6,4]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(4,6)],7)=>7
[3,7,5,2,4,6,1]=>([(1,5),(2,3),(2,4),(2,5),(4,6),(5,6)],7)=>9
[3,7,5,4,2,1,6]=>([(0,6),(1,6),(2,3),(2,4),(2,5),(4,6),(5,6)],7)=>11
[3,7,5,4,2,6,1]=>([(1,6),(2,3),(2,4),(2,5),(4,6),(5,6)],7)=>12
[3,7,5,4,6,2,1]=>([(2,3),(2,4),(2,5),(4,6),(5,6)],7)=>14
[3,7,5,6,2,1,4]=>([(0,6),(1,6),(2,3),(2,4),(2,6),(4,5)],7)=>10
[3,7,5,6,2,4,1]=>([(1,6),(2,3),(2,4),(2,6),(4,5)],7)=>13
[3,7,5,6,4,2,1]=>([(2,4),(2,5),(2,6),(6,3)],7)=>17
[3,7,6,1,2,5,4]=>([(0,4),(1,2),(1,3),(1,5),(1,6),(4,5),(4,6)],7)=>6
[3,7,6,2,1,4,5]=>([(0,6),(1,6),(2,3),(2,4),(2,6),(6,5)],7)=>7
[3,7,6,2,1,5,4]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>9
[3,7,6,2,4,5,1]=>([(1,6),(2,3),(2,4),(2,6),(6,5)],7)=>11
[3,7,6,4,2,1,5]=>([(0,6),(1,6),(2,3),(2,4),(2,5),(5,6)],7)=>12
[3,7,6,4,2,5,1]=>([(1,6),(2,3),(2,4),(2,5),(5,6)],7)=>14
[3,7,6,4,5,2,1]=>([(2,4),(2,5),(2,6),(6,3)],7)=>17
[3,7,6,5,1,2,4]=>([(0,5),(1,2),(1,3),(1,4),(1,6),(5,6)],7)=>10
[3,7,6,5,2,1,4]=>([(0,6),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>14
[3,7,6,5,2,4,1]=>([(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>17
[3,7,6,5,4,1,2]=>([(0,6),(1,2),(1,3),(1,4),(1,5)],7)=>16
[3,7,6,5,4,2,1]=>([(2,3),(2,4),(2,5),(2,6)],7)=>21
[4,1,5,2,3,6,7]=>([(0,5),(1,4),(1,5),(3,6),(4,3),(5,6),(6,2)],7)=>0
[4,1,5,2,3,7,6]=>([(0,6),(1,2),(1,6),(2,3),(3,4),(3,5),(6,4),(6,5)],7)=>0
[4,1,5,2,6,7,3]=>([(0,5),(1,4),(1,5),(4,3),(4,6),(5,6),(6,2)],7)=>0
[4,1,5,2,7,6,3]=>([(0,6),(1,3),(1,6),(3,2),(3,4),(3,5),(6,4),(6,5)],7)=>1
[4,1,5,3,2,6,7]=>([(0,5),(1,2),(1,3),(1,5),(2,6),(3,6),(5,6),(6,4)],7)=>2
[4,1,5,3,2,7,6]=>([(0,4),(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>2
[4,1,5,3,6,7,2]=>([(0,5),(1,3),(1,4),(1,5),(4,6),(5,6),(6,2)],7)=>2
[4,1,5,3,7,2,6]=>([(0,4),(1,2),(1,3),(1,4),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>2
[4,1,5,3,7,6,2]=>([(0,6),(1,2),(1,3),(1,6),(3,4),(3,5),(6,4),(6,5)],7)=>3
[4,1,5,7,2,3,6]=>([(0,6),(1,4),(1,6),(3,5),(4,3),(6,2),(6,5)],7)=>0
[4,1,5,7,2,6,3]=>([(0,6),(1,4),(1,6),(4,3),(4,5),(6,2),(6,5)],7)=>1
[4,1,5,7,3,2,6]=>([(0,5),(1,2),(1,3),(1,5),(2,6),(3,6),(5,4),(5,6)],7)=>3
[4,1,5,7,3,6,2]=>([(0,6),(1,3),(1,4),(1,6),(4,5),(6,2),(6,5)],7)=>4
[4,1,5,7,6,2,3]=>([(0,6),(1,5),(1,6),(5,2),(6,3),(6,4)],7)=>2
[4,1,5,7,6,3,2]=>([(0,6),(1,2),(1,3),(1,6),(6,4),(6,5)],7)=>6
[4,2,1,3,5,6,7]=>([(0,6),(1,5),(2,5),(3,4),(5,6),(6,3)],7)=>1
[4,2,1,3,5,7,6]=>([(0,6),(1,5),(2,5),(5,6),(6,3),(6,4)],7)=>1
[4,2,1,3,6,5,7]=>([(0,6),(1,6),(2,4),(2,5),(4,3),(5,3),(6,4),(6,5)],7)=>1
[4,2,1,3,6,7,5]=>([(0,5),(0,6),(1,4),(2,4),(4,5),(4,6),(6,3)],7)=>1
[4,2,1,3,7,5,6]=>([(0,5),(0,6),(1,4),(2,4),(4,5),(4,6),(6,3)],7)=>1
[4,2,1,3,7,6,5]=>([(0,6),(1,6),(2,3),(2,4),(2,5),(6,3),(6,4),(6,5)],7)=>2
[4,2,1,5,3,6,7]=>([(0,6),(1,4),(1,6),(2,4),(2,6),(4,5),(5,3),(6,5)],7)=>1
[4,2,1,5,3,7,6]=>([(0,6),(1,3),(1,6),(2,3),(2,6),(3,4),(3,5),(6,4),(6,5)],7)=>1
[4,2,1,5,6,3,7]=>([(0,6),(1,4),(1,6),(2,4),(2,6),(3,5),(4,5),(6,3)],7)=>1
[4,2,1,5,6,7,3]=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(6,3)],7)=>1
[4,2,1,5,7,3,6]=>([(0,6),(1,4),(1,6),(2,4),(2,6),(4,5),(6,3),(6,5)],7)=>1
[4,2,1,5,7,6,3]=>([(0,6),(1,5),(1,6),(2,5),(2,6),(6,3),(6,4)],7)=>2
[4,2,1,6,3,5,7]=>([(0,3),(0,6),(1,3),(1,6),(2,5),(2,6),(3,5),(5,4),(6,4)],7)=>1
[4,2,1,6,3,7,5]=>([(0,3),(0,6),(1,3),(1,6),(2,4),(2,6),(3,4),(3,5),(6,5)],7)=>1
[4,2,1,6,7,3,5]=>([(0,5),(0,6),(1,4),(1,6),(2,4),(2,6),(4,5),(6,3)],7)=>1
[4,2,1,7,3,5,6]=>([(0,5),(0,6),(1,4),(1,6),(2,4),(2,6),(4,5),(5,3)],7)=>1
[4,2,1,7,3,6,5]=>([(0,3),(0,6),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5)],7)=>2
[4,2,3,1,5,6,7]=>([(0,6),(1,6),(2,3),(3,6),(4,5),(6,4)],7)=>2
[4,2,3,1,5,7,6]=>([(0,6),(1,6),(2,3),(3,6),(6,4),(6,5)],7)=>2
[4,2,3,1,6,5,7]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(3,5),(3,6),(5,4),(6,4)],7)=>2
[4,2,3,1,6,7,5]=>([(0,5),(0,6),(1,5),(1,6),(2,4),(4,5),(4,6),(6,3)],7)=>2
[4,2,3,1,7,5,6]=>([(0,5),(0,6),(1,5),(1,6),(2,4),(4,5),(4,6),(6,3)],7)=>2
[4,2,3,5,6,1,7]=>([(0,6),(1,5),(2,3),(3,6),(4,5),(6,4)],7)=>2
[4,2,5,1,3,6,7]=>([(0,5),(1,4),(2,4),(2,5),(4,6),(5,6),(6,3)],7)=>1
[4,2,5,1,3,7,6]=>([(0,6),(1,5),(2,5),(2,6),(5,3),(5,4),(6,3),(6,4)],7)=>1
[4,2,5,3,6,7,1]=>([(1,5),(2,3),(2,5),(3,6),(5,6),(6,4)],7)=>3
[4,2,5,3,7,6,1]=>([(1,4),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7)=>4
[4,2,5,6,1,3,7]=>([(0,5),(1,4),(2,4),(2,5),(3,6),(4,6),(5,3)],7)=>1
[4,2,5,6,1,7,3]=>([(0,5),(1,4),(1,5),(2,4),(2,6),(3,6),(5,3)],7)=>1
[4,2,5,6,3,1,7]=>([(0,6),(1,5),(2,3),(2,5),(3,6),(4,6),(5,4)],7)=>4
[4,2,5,6,7,1,3]=>([(0,6),(1,5),(2,5),(2,6),(3,4),(6,3)],7)=>1
[4,2,5,7,1,3,6]=>([(0,6),(1,4),(2,4),(2,6),(4,5),(6,3),(6,5)],7)=>1
[4,2,5,7,3,6,1]=>([(1,5),(2,3),(2,5),(3,6),(5,4),(5,6)],7)=>5
[4,2,5,7,6,1,3]=>([(0,6),(1,5),(2,5),(2,6),(6,3),(6,4)],7)=>3
[4,2,5,7,6,3,1]=>([(1,6),(2,3),(2,6),(6,4),(6,5)],7)=>7
[4,2,6,5,1,3,7]=>([(0,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)=>3
[4,2,6,5,7,1,3]=>([(0,4),(1,5),(1,6),(2,4),(2,5),(2,6),(5,3),(6,3)],7)=>3
[4,2,6,7,5,1,3]=>([(0,4),(1,5),(1,6),(2,4),(2,5),(2,6),(6,3)],7)=>5
[4,2,7,5,1,3,6]=>([(0,6),(1,4),(1,5),(2,4),(2,5),(2,6),(5,3),(6,3)],7)=>3
[4,2,7,5,6,1,3]=>([(0,4),(1,5),(1,6),(2,4),(2,5),(2,6),(6,3)],7)=>5
[4,3,1,2,5,6,7]=>([(0,6),(1,6),(2,3),(3,6),(4,5),(6,4)],7)=>2
[4,3,1,2,5,7,6]=>([(0,6),(1,6),(2,3),(3,6),(6,4),(6,5)],7)=>2
[4,3,1,2,6,5,7]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(3,5),(3,6),(5,4),(6,4)],7)=>2
[4,3,1,2,6,7,5]=>([(0,5),(0,6),(1,5),(1,6),(2,4),(4,5),(4,6),(6,3)],7)=>2
[4,3,1,2,7,5,6]=>([(0,5),(0,6),(1,5),(1,6),(2,4),(4,5),(4,6),(6,3)],7)=>2
[4,3,1,5,2,6,7]=>([(0,6),(1,6),(2,3),(2,6),(3,5),(5,4),(6,5)],7)=>2
[4,3,1,5,2,7,6]=>([(0,6),(1,6),(2,3),(2,6),(3,4),(3,5),(6,4),(6,5)],7)=>2
[4,3,1,5,6,2,7]=>([(0,6),(1,6),(2,3),(2,6),(3,5),(4,5),(6,4)],7)=>2
[4,3,1,5,6,7,2]=>([(0,6),(1,6),(2,3),(2,6),(4,5),(6,4)],7)=>2
[4,3,1,5,7,2,6]=>([(0,6),(1,6),(2,4),(2,6),(4,5),(6,3),(6,5)],7)=>2
[4,3,1,5,7,6,2]=>([(0,6),(1,6),(2,3),(2,6),(6,4),(6,5)],7)=>3
[4,3,1,6,2,5,7]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(3,6),(5,4),(6,4)],7)=>2
[4,3,1,6,2,7,5]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(3,4),(3,6),(5,4)],7)=>2
[4,3,1,6,5,2,7]=>([(0,4),(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)=>3
[4,3,1,6,5,7,2]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(2,6),(5,4),(6,4)],7)=>3
[4,3,1,6,7,2,5]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(3,6),(5,4)],7)=>2
[4,3,1,6,7,5,2]=>([(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(6,3)],7)=>4
[4,3,1,7,2,5,6]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(3,6),(6,4)],7)=>2
[4,3,1,7,5,2,6]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(6,4)],7)=>3
[4,3,1,7,5,6,2]=>([(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(6,3)],7)=>4
[4,3,2,1,5,6,7]=>([(0,6),(1,6),(2,6),(3,6),(4,5),(6,4)],7)=>4
[4,3,2,1,5,7,6]=>([(0,6),(1,6),(2,6),(3,6),(6,4),(6,5)],7)=>4
[4,3,2,1,6,5,7]=>([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(5,4),(6,4)],7)=>4
[4,3,2,1,6,7,5]=>([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(6,4)],7)=>4
[4,3,2,1,7,5,6]=>([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(6,4)],7)=>4
[4,3,2,1,7,6,5]=>([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>5
[4,3,2,5,1,6,7]=>([(0,6),(1,6),(2,6),(3,5),(5,4),(6,5)],7)=>4
[4,3,2,5,1,7,6]=>([(0,6),(1,6),(2,6),(3,4),(3,5),(6,4),(6,5)],7)=>4
[4,3,2,5,6,1,7]=>([(0,6),(1,6),(2,6),(3,5),(4,5),(6,4)],7)=>4
[4,3,2,5,6,7,1]=>([(1,6),(2,6),(3,6),(4,5),(6,4)],7)=>4
[4,3,2,5,7,1,6]=>([(0,6),(1,6),(2,6),(3,5),(6,4),(6,5)],7)=>4
[4,3,2,5,7,6,1]=>([(1,6),(2,6),(3,6),(6,4),(6,5)],7)=>5
[4,3,2,6,1,5,7]=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(5,4),(6,4)],7)=>4
[4,3,2,6,1,7,5]=>([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(5,4)],7)=>4
[4,3,2,6,5,1,7]=>([(0,6),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)=>5
[4,3,2,6,5,7,1]=>([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(5,4),(6,4)],7)=>5
[4,3,2,6,7,1,5]=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(5,4)],7)=>4
[4,3,2,6,7,5,1]=>([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(6,4)],7)=>6
[4,3,2,7,1,5,6]=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(6,4)],7)=>4
[4,3,2,7,1,6,5]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>5
[4,3,2,7,5,1,6]=>([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(6,4)],7)=>5
[4,3,2,7,5,6,1]=>([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(6,4)],7)=>6
[4,3,2,7,6,1,5]=>([(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>6
[4,3,5,1,2,6,7]=>([(0,5),(1,5),(2,3),(3,6),(5,6),(6,4)],7)=>2
[4,3,5,1,2,7,6]=>([(0,4),(1,4),(2,3),(3,5),(3,6),(4,5),(4,6)],7)=>2
[4,3,5,1,6,2,7]=>([(0,4),(1,4),(2,3),(2,5),(3,6),(4,5),(5,6)],7)=>2
[4,3,5,1,6,7,2]=>([(0,5),(1,5),(2,4),(2,6),(5,6),(6,3)],7)=>2
[4,3,5,1,7,2,6]=>([(0,4),(1,4),(2,3),(2,5),(3,6),(4,5),(4,6)],7)=>2
[4,3,5,1,7,6,2]=>([(0,4),(1,4),(2,3),(2,5),(2,6),(4,5),(4,6)],7)=>3
[4,3,5,2,1,6,7]=>([(0,6),(1,6),(2,5),(3,5),(5,6),(6,4)],7)=>5
[4,3,5,2,1,7,6]=>([(0,5),(0,6),(1,5),(1,6),(2,4),(3,4),(4,5),(4,6)],7)=>5
[4,3,5,2,6,1,7]=>([(0,4),(1,4),(2,5),(3,6),(4,6),(6,5)],7)=>5
[4,3,5,2,6,7,1]=>([(1,6),(2,5),(3,5),(5,6),(6,4)],7)=>5
[4,3,5,2,7,1,6]=>([(0,6),(1,5),(1,6),(2,4),(3,4),(4,5),(4,6)],7)=>5
[4,3,5,2,7,6,1]=>([(1,4),(2,4),(3,5),(3,6),(4,5),(4,6)],7)=>6
[4,3,5,6,1,2,7]=>([(0,5),(1,5),(2,3),(3,6),(4,6),(5,4)],7)=>2
[4,3,5,6,1,7,2]=>([(0,5),(1,5),(2,3),(2,6),(4,6),(5,4)],7)=>2
[4,3,5,6,2,1,7]=>([(0,6),(1,6),(2,5),(3,5),(4,6),(5,4)],7)=>6
[4,3,5,6,2,7,1]=>([(1,6),(2,5),(3,5),(4,6),(5,4)],7)=>6
[4,3,5,6,7,1,2]=>([(0,6),(1,6),(2,3),(4,5),(6,4)],7)=>2
[4,3,5,6,7,2,1]=>([(2,6),(3,6),(4,5),(6,4)],7)=>7
[4,3,5,7,1,2,6]=>([(0,5),(1,5),(2,3),(3,6),(5,4),(5,6)],7)=>2
[4,3,5,7,1,6,2]=>([(0,6),(1,6),(2,4),(2,5),(6,3),(6,5)],7)=>3
[4,3,5,7,2,1,6]=>([(0,6),(1,6),(2,5),(3,5),(5,4),(5,6)],7)=>6
[4,3,5,7,2,6,1]=>([(1,6),(2,6),(3,5),(6,4),(6,5)],7)=>7
[4,3,5,7,6,1,2]=>([(0,6),(1,6),(2,3),(6,4),(6,5)],7)=>4
[4,3,5,7,6,2,1]=>([(2,6),(3,6),(6,4),(6,5)],7)=>9
[4,3,6,1,2,5,7]=>([(0,4),(0,6),(1,4),(1,6),(2,3),(3,6),(4,5),(6,5)],7)=>2
[4,3,6,1,2,7,5]=>([(0,4),(0,6),(1,4),(1,6),(2,3),(3,5),(3,6),(4,5)],7)=>2
[4,3,6,1,5,2,7]=>([(0,4),(0,5),(1,4),(1,5),(2,3),(2,5),(3,6),(4,6),(5,6)],7)=>3
[4,3,6,1,5,7,2]=>([(0,4),(0,6),(1,4),(1,6),(2,3),(2,6),(4,5),(6,5)],7)=>3
[4,3,6,1,7,2,5]=>([(0,4),(0,6),(1,4),(1,6),(2,3),(2,5),(3,6),(4,5)],7)=>2
[4,3,6,1,7,5,2]=>([(0,4),(0,6),(1,4),(1,6),(2,3),(2,5),(2,6),(4,5)],7)=>4
[4,3,6,2,1,5,7]=>([(0,6),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(6,5)],7)=>5
[4,3,6,2,1,7,5]=>([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5)],7)=>5
[4,3,6,2,5,1,7]=>([(0,6),(1,5),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)=>6
[4,3,6,2,5,7,1]=>([(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(6,5)],7)=>6
[4,3,6,2,7,1,5]=>([(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5)],7)=>5
[4,3,6,2,7,5,1]=>([(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5)],7)=>7
[4,3,6,5,1,2,7]=>([(0,4),(0,5),(1,4),(1,5),(2,3),(3,6),(4,6),(5,6)],7)=>4
[4,3,6,5,1,7,2]=>([(0,4),(0,5),(1,4),(1,5),(2,3),(2,6),(4,6),(5,6)],7)=>4
[4,3,6,5,2,1,7]=>([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)=>8
[4,3,6,5,2,7,1]=>([(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)=>8
[4,3,6,5,7,1,2]=>([(0,4),(0,5),(1,4),(1,5),(2,3),(4,6),(5,6)],7)=>4
[4,3,6,5,7,2,1]=>([(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)=>9
[4,3,6,7,1,2,5]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(3,6),(5,4)],7)=>2
[4,3,6,7,1,5,2]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,6),(5,4)],7)=>4
[4,3,6,7,2,1,5]=>([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(5,4)],7)=>6
[4,3,6,7,2,5,1]=>([(1,6),(2,5),(2,6),(3,5),(3,6),(5,4)],7)=>8
[4,3,6,7,5,1,2]=>([(0,5),(0,6),(1,5),(1,6),(2,4),(6,3)],7)=>6
[4,3,6,7,5,2,1]=>([(2,5),(2,6),(3,5),(3,6),(6,4)],7)=>11
[4,3,7,1,2,5,6]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(3,6),(6,4)],7)=>2
[4,3,7,1,5,2,6]=>([(0,4),(0,6),(1,4),(1,6),(2,3),(2,6),(3,5),(6,5)],7)=>3
[4,3,7,1,5,6,2]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,6),(6,4)],7)=>4
[4,3,7,2,1,5,6]=>([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(6,4)],7)=>5
[4,3,7,2,1,6,5]=>([(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>6
[4,3,7,2,5,1,6]=>([(0,6),(1,5),(2,4),(2,6),(3,4),(3,6),(6,5)],7)=>6
[4,3,7,2,5,6,1]=>([(1,6),(2,5),(2,6),(3,5),(3,6),(6,4)],7)=>7
[4,3,7,2,6,1,5]=>([(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>7
[4,3,7,5,1,2,6]=>([(0,4),(0,5),(1,4),(1,5),(2,3),(3,6),(5,6)],7)=>4
[4,3,7,5,1,6,2]=>([(0,4),(0,5),(1,4),(1,5),(2,3),(2,6),(5,6)],7)=>5
[4,3,7,5,2,1,6]=>([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(5,6)],7)=>8
[4,3,7,5,2,6,1]=>([(1,6),(2,4),(2,5),(3,4),(3,5),(5,6)],7)=>9
[4,3,7,5,6,1,2]=>([(0,5),(0,6),(1,5),(1,6),(2,4),(6,3)],7)=>6
[4,3,7,5,6,2,1]=>([(2,5),(2,6),(3,5),(3,6),(6,4)],7)=>11
[4,3,7,6,2,1,5]=>([(0,6),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>9
[4,3,7,6,2,5,1]=>([(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>11
[4,5,1,7,6,3,2]=>([(0,4),(1,2),(1,3),(1,5),(1,6),(4,5),(4,6)],7)=>6
[4,5,2,1,3,6,7]=>([(0,5),(1,5),(2,3),(3,6),(5,6),(6,4)],7)=>2
[4,5,2,1,3,7,6]=>([(0,4),(1,4),(2,3),(3,5),(3,6),(4,5),(4,6)],7)=>2
[4,5,2,1,6,3,7]=>([(0,4),(0,6),(1,4),(1,6),(2,3),(3,6),(4,5),(6,5)],7)=>2
[4,5,2,1,6,7,3]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(3,6),(6,4)],7)=>2
[4,5,2,1,7,3,6]=>([(0,4),(0,6),(1,4),(1,6),(2,3),(3,5),(3,6),(4,5)],7)=>2
[4,5,3,2,1,6,7]=>([(0,6),(1,6),(2,6),(3,4),(4,6),(6,5)],7)=>7
[4,5,3,2,1,7,6]=>([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(4,5),(4,6)],7)=>7
[4,5,3,2,6,1,7]=>([(0,6),(1,6),(2,5),(3,4),(4,6),(6,5)],7)=>7
[4,5,3,2,6,7,1]=>([(1,6),(2,6),(3,4),(4,6),(6,5)],7)=>7
[4,5,3,2,7,1,6]=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(4,5),(4,6)],7)=>7
[4,5,3,2,7,6,1]=>([(1,5),(1,6),(2,5),(2,6),(3,4),(4,5),(4,6)],7)=>8
[4,5,3,6,2,1,7]=>([(0,6),(1,6),(2,5),(3,4),(4,5),(5,6)],7)=>8
[4,5,3,7,2,1,6]=>([(0,6),(1,6),(2,5),(2,6),(3,4),(4,5),(4,6)],7)=>8
[4,5,6,2,1,3,7]=>([(0,5),(1,5),(2,3),(3,4),(4,6),(5,6)],7)=>3
[4,5,6,2,1,7,3]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(3,4),(4,6)],7)=>3
[4,5,6,3,2,1,7]=>([(0,6),(1,6),(2,6),(3,4),(4,5),(5,6)],7)=>10
[4,5,6,3,2,7,1]=>([(1,6),(2,6),(3,4),(4,5),(5,6)],7)=>10
[4,5,6,7,2,1,3]=>([(0,3),(1,6),(2,6),(3,5),(5,4)],7)=>4
[4,5,6,7,3,2,1]=>([(3,4),(4,6),(6,5)],7)=>13
[4,5,7,2,1,3,6]=>([(0,5),(1,5),(2,3),(3,4),(3,6),(5,6)],7)=>3
[4,5,7,2,1,6,3]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(3,4),(3,6)],7)=>4
[4,5,7,3,2,1,6]=>([(0,6),(1,6),(2,6),(3,4),(4,5),(4,6)],7)=>10
[4,5,7,3,2,6,1]=>([(1,6),(2,6),(3,4),(4,5),(4,6)],7)=>11
[4,5,7,6,2,1,3]=>([(0,3),(1,6),(2,6),(3,4),(3,5)],7)=>7
[4,5,7,6,3,2,1]=>([(3,4),(4,5),(4,6)],7)=>16
[4,6,2,1,3,5,7]=>([(0,4),(1,4),(2,3),(2,5),(3,6),(4,5),(5,6)],7)=>2
[4,6,2,1,3,7,5]=>([(0,4),(1,4),(2,3),(2,5),(3,6),(4,5),(4,6)],7)=>2
[4,6,2,1,5,3,7]=>([(0,4),(0,5),(1,4),(1,5),(2,3),(2,5),(3,6),(4,6),(5,6)],7)=>3
[4,6,2,1,5,7,3]=>([(0,4),(0,6),(1,4),(1,6),(2,3),(2,6),(3,5),(6,5)],7)=>3
[4,6,2,1,7,3,5]=>([(0,4),(0,6),(1,4),(1,6),(2,3),(2,5),(3,6),(4,5)],7)=>2
[4,6,3,2,1,5,7]=>([(0,6),(1,6),(2,6),(3,4),(3,6),(4,5),(6,5)],7)=>7
[4,6,3,2,1,7,5]=>([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(4,6)],7)=>7
[4,6,3,2,5,1,7]=>([(0,6),(1,5),(2,5),(3,4),(3,5),(4,6),(5,6)],7)=>8
[4,6,3,2,5,7,1]=>([(1,6),(2,6),(3,4),(3,6),(4,5),(6,5)],7)=>8
[4,6,3,2,7,1,5]=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5)],7)=>7
[4,6,3,2,7,5,1]=>([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(4,6)],7)=>9
[4,6,3,5,2,1,7]=>([(0,6),(1,6),(2,5),(3,4),(3,5),(4,6),(5,6)],7)=>10
[4,6,3,5,7,2,1]=>([(2,5),(3,4),(3,5),(4,6),(5,6)],7)=>11
[4,6,3,7,2,1,5]=>([(0,6),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5)],7)=>8
[4,6,5,2,1,3,7]=>([(0,5),(1,5),(2,3),(2,4),(3,6),(4,6),(5,6)],7)=>6
[4,6,5,2,1,7,3]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(3,6),(4,6)],7)=>6
[4,6,5,3,2,1,7]=>([(0,6),(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7)=>13
[4,6,5,3,2,7,1]=>([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7)=>13
[4,6,5,7,2,1,3]=>([(0,5),(1,5),(2,3),(2,4),(3,6),(4,6)],7)=>7
[4,6,5,7,3,2,1]=>([(3,4),(3,5),(4,6),(5,6)],7)=>16
[4,6,7,2,1,3,5]=>([(0,5),(1,5),(2,3),(2,6),(3,4),(5,6)],7)=>3
[4,6,7,2,1,5,3]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,6),(3,4)],7)=>5
[4,6,7,3,2,1,5]=>([(0,6),(1,6),(2,6),(3,4),(3,6),(4,5)],7)=>10
[4,6,7,3,2,5,1]=>([(1,6),(2,6),(3,4),(3,6),(4,5)],7)=>12
[4,6,7,3,5,2,1]=>([(2,6),(3,4),(3,6),(4,5)],7)=>15
[4,6,7,5,2,1,3]=>([(0,6),(1,6),(2,3),(2,4),(4,5)],7)=>10
[4,6,7,5,3,2,1]=>([(3,4),(3,5),(5,6)],7)=>19
[4,7,2,1,3,5,6]=>([(0,5),(1,5),(2,4),(2,6),(5,6),(6,3)],7)=>2
[4,7,2,1,3,6,5]=>([(0,4),(1,4),(2,3),(2,5),(2,6),(4,5),(4,6)],7)=>3
[4,7,2,1,5,3,6]=>([(0,4),(0,6),(1,4),(1,6),(2,3),(2,6),(4,5),(6,5)],7)=>3
[4,7,2,1,5,6,3]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,6),(6,4)],7)=>4
[4,7,2,1,6,3,5]=>([(0,4),(0,6),(1,4),(1,6),(2,3),(2,5),(2,6),(4,5)],7)=>4
[4,7,3,2,1,5,6]=>([(0,6),(1,6),(2,6),(3,4),(3,6),(6,5)],7)=>7
[4,7,3,2,1,6,5]=>([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>8
[4,7,3,2,5,1,6]=>([(0,6),(1,6),(2,5),(3,4),(3,6),(6,5)],7)=>8
[4,7,3,2,5,6,1]=>([(1,6),(2,6),(3,4),(3,6),(6,5)],7)=>9
[4,7,3,2,6,1,5]=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>9
[4,7,3,2,6,5,1]=>([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>11
[4,7,3,5,2,1,6]=>([(0,6),(1,6),(2,5),(3,4),(3,5),(5,6)],7)=>10
[4,7,3,5,6,2,1]=>([(2,6),(3,4),(3,6),(6,5)],7)=>13
[4,7,3,6,2,1,5]=>([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>11
[4,7,5,2,1,3,6]=>([(0,5),(1,5),(2,3),(2,4),(4,6),(5,6)],7)=>6
[4,7,5,2,1,6,3]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(4,6)],7)=>7
[4,7,5,3,2,1,6]=>([(0,6),(1,6),(2,6),(3,4),(3,5),(5,6)],7)=>13
[4,7,5,3,2,6,1]=>([(1,6),(2,6),(3,4),(3,5),(5,6)],7)=>14
[4,7,5,6,2,1,3]=>([(0,6),(1,6),(2,3),(2,4),(4,5)],7)=>10
[4,7,5,6,3,2,1]=>([(3,4),(3,5),(5,6)],7)=>19
[4,7,6,2,1,3,5]=>([(0,5),(1,5),(2,3),(2,4),(2,6),(5,6)],7)=>7
[4,7,6,2,1,5,3]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6)],7)=>9
[4,7,6,3,2,1,5]=>([(0,6),(1,6),(2,6),(3,4),(3,5),(3,6)],7)=>14
[4,7,6,3,2,5,1]=>([(1,6),(2,6),(3,4),(3,5),(3,6)],7)=>16
[4,7,6,3,5,2,1]=>([(2,6),(3,4),(3,5),(3,6)],7)=>19
[4,7,6,5,2,1,3]=>([(0,6),(1,6),(2,3),(2,4),(2,5)],7)=>14
[4,7,6,5,2,3,1]=>([(1,6),(2,3),(2,4),(2,5)],7)=>18
[4,7,6,5,3,1,2]=>([(1,6),(2,3),(2,4),(2,5)],7)=>18
[4,7,6,5,3,2,1]=>([(3,4),(3,5),(3,6)],7)=>23
[5,1,2,3,4,6,7]=>([(0,6),(1,5),(2,6),(4,2),(5,4),(6,3)],7)=>0
[5,1,2,4,3,7,6]=>([(0,5),(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,2),(4,3)],7)=>1
[5,1,2,4,7,3,6]=>([(0,5),(0,6),(1,4),(2,6),(3,5),(3,6),(4,2),(4,3)],7)=>1
[5,1,2,4,7,6,3]=>([(0,5),(0,6),(1,4),(3,5),(3,6),(4,2),(4,3)],7)=>2
[5,1,3,4,2,7,6]=>([(0,5),(0,6),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,2)],7)=>2
[5,1,3,4,6,2,7]=>([(0,6),(1,3),(1,4),(2,6),(3,5),(4,2),(6,5)],7)=>2
[5,1,3,4,7,2,6]=>([(0,5),(0,6),(1,2),(1,4),(2,6),(3,5),(3,6),(4,3)],7)=>2
[5,1,3,4,7,6,2]=>([(0,5),(0,6),(1,2),(1,4),(3,5),(3,6),(4,3)],7)=>3
[5,1,4,2,3,7,6]=>([(0,5),(0,6),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,2)],7)=>2
[5,1,4,3,2,6,7]=>([(0,6),(1,2),(1,3),(1,4),(2,6),(3,6),(4,6),(6,5)],7)=>4
[5,1,4,3,6,2,7]=>([(0,6),(1,2),(1,3),(1,4),(2,6),(3,6),(4,5),(6,5)],7)=>4
[5,1,4,3,6,7,2]=>([(0,6),(1,2),(1,3),(1,4),(3,6),(4,6),(6,5)],7)=>4
[5,1,4,6,3,7,2]=>([(0,6),(1,2),(1,3),(1,4),(3,6),(4,5),(6,5)],7)=>5
[5,1,4,6,7,3,2]=>([(0,6),(1,2),(1,3),(1,4),(4,6),(6,5)],7)=>6
[5,1,6,2,3,7,4]=>([(0,6),(1,3),(1,6),(3,4),(4,2),(4,5),(6,5)],7)=>0
[5,1,6,2,7,4,3]=>([(0,6),(1,4),(1,6),(4,2),(4,3),(4,5),(6,5)],7)=>3
[5,1,6,3,2,4,7]=>([(0,6),(1,2),(1,3),(1,6),(2,5),(3,5),(5,4),(6,4)],7)=>2
[5,1,6,3,2,7,4]=>([(0,4),(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,6)],7)=>2
[5,1,6,3,7,2,4]=>([(0,6),(1,2),(1,3),(1,6),(2,5),(3,4),(3,5),(6,4)],7)=>2
[5,1,6,3,7,4,2]=>([(0,6),(1,3),(1,4),(1,6),(4,2),(4,5),(6,5)],7)=>5
[5,1,6,4,2,7,3]=>([(0,5),(1,3),(1,4),(1,5),(3,6),(4,2),(4,6),(5,6)],7)=>4
[5,1,6,4,3,2,7]=>([(0,5),(1,2),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,6)],7)=>7
[5,1,6,4,3,7,2]=>([(0,5),(1,2),(1,3),(1,4),(1,5),(3,6),(4,6),(5,6)],7)=>7
[5,1,6,4,7,2,3]=>([(0,6),(1,3),(1,4),(1,6),(3,5),(4,2),(6,5)],7)=>4
[5,1,6,4,7,3,2]=>([(0,6),(1,2),(1,3),(1,4),(1,6),(4,5),(6,5)],7)=>8
[5,1,6,7,2,3,4]=>([(0,6),(1,5),(1,6),(4,2),(5,4),(6,3)],7)=>0
[5,1,6,7,2,4,3]=>([(0,6),(1,5),(1,6),(5,2),(5,3),(6,4)],7)=>3
[5,1,6,7,3,2,4]=>([(0,6),(1,3),(1,4),(1,6),(3,5),(4,5),(6,2)],7)=>3
[5,1,6,7,3,4,2]=>([(0,6),(1,3),(1,5),(1,6),(5,2),(6,4)],7)=>6
[5,1,6,7,4,2,3]=>([(0,6),(1,3),(1,5),(1,6),(5,2),(6,4)],7)=>6
[5,1,6,7,4,3,2]=>([(0,6),(1,2),(1,3),(1,4),(1,6),(6,5)],7)=>10
[5,2,1,3,4,6,7]=>([(0,6),(1,5),(2,5),(4,6),(5,4),(6,3)],7)=>1
[5,2,1,3,4,7,6]=>([(0,4),(1,4),(2,5),(2,6),(3,5),(3,6),(4,3)],7)=>1
[5,2,1,3,6,4,7]=>([(0,5),(1,5),(2,4),(3,6),(4,6),(5,3),(5,4)],7)=>1
[5,2,1,3,6,7,4]=>([(0,6),(1,5),(2,5),(5,3),(5,6),(6,4)],7)=>1
[5,2,1,3,7,4,6]=>([(0,5),(1,5),(2,4),(2,6),(3,6),(5,3),(5,4)],7)=>1
[5,2,1,3,7,6,4]=>([(0,6),(1,6),(2,4),(2,5),(6,3),(6,4),(6,5)],7)=>2
[5,2,1,4,3,6,7]=>([(0,6),(1,4),(1,5),(2,4),(2,5),(4,6),(5,6),(6,3)],7)=>2
[5,2,1,4,3,7,6]=>([(0,5),(0,6),(1,3),(1,4),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7)=>2
[5,2,1,4,6,3,7]=>([(0,4),(1,5),(1,6),(2,5),(2,6),(4,3),(5,4),(6,3)],7)=>2
[5,2,1,4,6,7,3]=>([(0,6),(1,4),(1,5),(2,4),(2,5),(5,6),(6,3)],7)=>2
[5,2,1,4,7,3,6]=>([(0,5),(0,6),(1,3),(1,4),(2,3),(2,4),(3,6),(4,5),(4,6)],7)=>2
[5,2,1,4,7,6,3]=>([(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(6,3),(6,4)],7)=>3
[5,2,1,6,3,4,7]=>([(0,6),(1,4),(1,6),(2,4),(2,6),(3,5),(4,3),(6,5)],7)=>1
[5,2,1,6,3,7,4]=>([(0,6),(1,5),(1,6),(2,5),(2,6),(5,3),(5,4),(6,4)],7)=>1
[5,2,1,6,4,3,7]=>([(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)=>3
[5,2,1,6,4,7,3]=>([(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,6),(4,5),(6,5)],7)=>3
[5,2,1,6,7,3,4]=>([(0,6),(1,5),(1,6),(2,5),(2,6),(5,4),(6,3)],7)=>1
[5,2,1,6,7,4,3]=>([(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(6,3)],7)=>4
[5,2,1,7,3,4,6]=>([(0,5),(0,6),(1,4),(1,6),(2,4),(2,6),(3,5),(4,3)],7)=>1
[5,2,1,7,3,6,4]=>([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(5,3),(5,4)],7)=>2
[5,2,3,4,1,6,7]=>([(0,6),(1,6),(2,3),(3,5),(5,6),(6,4)],7)=>3
[5,2,3,4,1,7,6]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(3,4),(4,5),(4,6)],7)=>3
[5,2,4,3,1,6,7]=>([(0,6),(1,6),(2,3),(2,4),(3,6),(4,6),(6,5)],7)=>5
[5,2,4,3,1,7,6]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7)=>5
[5,2,6,1,3,4,7]=>([(0,5),(1,4),(2,4),(2,5),(3,6),(4,6),(5,3)],7)=>1
[5,2,6,1,3,7,4]=>([(0,6),(1,4),(2,4),(2,6),(4,5),(6,3),(6,5)],7)=>1
[5,2,6,1,4,3,7]=>([(0,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)=>3
[5,2,6,1,4,7,3]=>([(0,6),(1,4),(1,5),(2,4),(2,5),(2,6),(5,3),(6,3)],7)=>3
[5,2,6,3,4,7,1]=>([(1,5),(2,3),(2,5),(3,4),(4,6),(5,6)],7)=>5
[5,2,6,3,7,4,1]=>([(1,5),(2,3),(2,5),(3,4),(3,6),(5,6)],7)=>6
[5,2,6,4,3,7,1]=>([(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)=>8
[5,2,6,4,7,3,1]=>([(1,5),(2,3),(2,4),(2,5),(4,6),(5,6)],7)=>9
[5,2,6,7,1,3,4]=>([(0,6),(1,5),(2,5),(2,6),(5,3),(6,4)],7)=>1
[5,2,6,7,1,4,3]=>([(0,6),(1,4),(1,5),(2,4),(2,5),(2,6),(6,3)],7)=>4
[5,2,6,7,3,4,1]=>([(1,6),(2,3),(2,6),(3,5),(6,4)],7)=>7
[5,2,6,7,4,3,1]=>([(1,6),(2,3),(2,4),(2,6),(6,5)],7)=>11
[5,2,7,1,3,4,6]=>([(0,5),(1,4),(1,5),(2,4),(2,6),(3,6),(5,3)],7)=>1
[5,2,7,6,1,3,4]=>([(0,6),(1,4),(1,5),(2,4),(2,5),(2,6),(6,3)],7)=>4
[5,3,2,1,4,6,7]=>([(0,6),(1,6),(2,6),(3,5),(5,4),(6,5)],7)=>4
[5,3,2,1,4,7,6]=>([(0,6),(1,6),(2,6),(3,4),(3,5),(6,4),(6,5)],7)=>4
[5,3,2,1,6,4,7]=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(5,4),(6,4)],7)=>4
[5,3,2,1,6,7,4]=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(6,4)],7)=>4
[5,3,2,1,7,4,6]=>([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(5,4)],7)=>4
[5,3,2,1,7,6,4]=>([(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>5
[5,3,2,4,1,6,7]=>([(0,6),(1,6),(2,5),(3,5),(5,6),(6,4)],7)=>5
[5,3,2,4,1,7,6]=>([(0,5),(0,6),(1,5),(1,6),(2,4),(3,4),(4,5),(4,6)],7)=>5
[5,3,2,4,6,1,7]=>([(0,4),(1,4),(2,5),(3,6),(4,6),(6,5)],7)=>5
[5,3,2,4,6,7,1]=>([(1,6),(2,5),(3,5),(5,6),(6,4)],7)=>5
[5,3,2,4,7,1,6]=>([(0,6),(1,5),(1,6),(2,4),(3,4),(4,5),(4,6)],7)=>5
[5,3,2,4,7,6,1]=>([(1,4),(2,4),(3,5),(3,6),(4,5),(4,6)],7)=>6
[5,3,2,6,1,4,7]=>([(0,6),(1,5),(2,5),(2,6),(3,5),(3,6),(5,4),(6,4)],7)=>4
[5,3,2,6,1,7,4]=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(6,4)],7)=>4
[5,3,2,6,4,1,7]=>([(0,6),(1,5),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)=>6
[5,3,2,6,4,7,1]=>([(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(6,5)],7)=>6
[5,3,2,6,7,1,4]=>([(0,6),(1,5),(2,5),(2,6),(3,5),(3,6),(6,4)],7)=>4
[5,3,2,6,7,4,1]=>([(1,6),(2,5),(2,6),(3,5),(3,6),(6,4)],7)=>7
[5,3,2,7,1,4,6]=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(6,4)],7)=>4
[5,3,2,7,1,6,4]=>([(0,5),(0,6),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>5
[5,3,2,7,4,1,6]=>([(0,6),(1,5),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6)],7)=>6
[5,3,2,7,4,6,1]=>([(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5)],7)=>7
[5,3,2,7,6,1,4]=>([(0,6),(1,4),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>6
[5,3,4,2,1,6,7]=>([(0,6),(1,6),(2,6),(3,4),(4,6),(6,5)],7)=>7
[5,3,4,2,1,7,6]=>([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(4,5),(4,6)],7)=>7
[5,3,4,2,6,1,7]=>([(0,6),(1,6),(2,5),(3,4),(4,6),(6,5)],7)=>7
[5,3,4,2,6,7,1]=>([(1,6),(2,6),(3,4),(4,6),(6,5)],7)=>7
[5,3,4,2,7,1,6]=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(4,5),(4,6)],7)=>7
[5,3,4,2,7,6,1]=>([(1,5),(1,6),(2,5),(2,6),(3,4),(4,5),(4,6)],7)=>8
[5,3,4,6,2,1,7]=>([(0,6),(1,6),(2,5),(3,4),(4,5),(5,6)],7)=>8
[5,3,4,7,2,1,6]=>([(0,6),(1,6),(2,5),(2,6),(3,4),(4,5),(4,6)],7)=>8
[5,3,6,2,1,4,7]=>([(0,6),(1,6),(2,4),(3,4),(3,6),(4,5),(6,5)],7)=>5
[5,3,6,2,1,7,4]=>([(0,5),(0,6),(1,5),(1,6),(2,4),(3,4),(3,5),(4,6)],7)=>5
[5,3,6,2,4,1,7]=>([(0,6),(1,5),(2,4),(3,4),(3,5),(4,6),(5,6)],7)=>7
[5,3,6,2,4,7,1]=>([(1,5),(2,4),(3,4),(3,5),(4,6),(5,6)],7)=>7
[5,3,6,2,7,1,4]=>([(0,6),(1,5),(1,6),(2,4),(3,4),(3,6),(4,5)],7)=>5
[5,3,6,4,2,1,7]=>([(0,6),(1,6),(2,5),(3,4),(3,5),(4,6),(5,6)],7)=>10
[5,3,6,4,7,2,1]=>([(2,5),(3,4),(3,5),(4,6),(5,6)],7)=>11
[5,3,6,7,2,1,4]=>([(0,6),(1,6),(2,5),(3,5),(3,6),(5,4)],7)=>6
[5,3,6,7,2,4,1]=>([(1,6),(2,5),(3,5),(3,6),(6,4)],7)=>9
[5,3,6,7,4,2,1]=>([(2,6),(3,4),(3,6),(6,5)],7)=>13
[5,3,7,2,1,4,6]=>([(0,6),(1,6),(2,4),(2,6),(3,4),(3,5),(6,5)],7)=>5
[5,3,7,2,1,6,4]=>([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6)],7)=>6
[5,3,7,2,4,1,6]=>([(0,6),(1,5),(2,4),(2,6),(3,4),(3,5),(5,6)],7)=>7
[5,3,7,2,6,1,4]=>([(0,5),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6)],7)=>7
[5,3,7,4,2,1,6]=>([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(4,6)],7)=>10
[5,3,7,6,2,1,4]=>([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(3,6)],7)=>9
[5,3,7,6,2,4,1]=>([(1,6),(2,4),(2,5),(3,4),(3,5),(3,6)],7)=>12
[5,4,1,2,3,6,7]=>([(0,6),(1,6),(2,3),(3,5),(5,6),(6,4)],7)=>3
[5,4,1,2,3,7,6]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(3,4),(4,5),(4,6)],7)=>3
[5,4,1,2,6,3,7]=>([(0,6),(1,6),(2,3),(3,4),(3,6),(4,5),(6,5)],7)=>3
[5,4,1,2,6,7,3]=>([(0,6),(1,6),(2,3),(3,5),(3,6),(6,4)],7)=>3
[5,4,1,2,7,3,6]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(3,4),(3,6),(4,5)],7)=>3
[5,4,1,2,7,6,3]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(3,4),(3,5),(3,6)],7)=>4
[5,4,1,3,2,6,7]=>([(0,6),(1,6),(2,3),(2,4),(3,6),(4,6),(6,5)],7)=>5
[5,4,1,3,2,7,6]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7)=>5
[5,4,1,3,6,2,7]=>([(0,6),(1,6),(2,3),(2,4),(3,6),(4,5),(6,5)],7)=>5
[5,4,1,3,6,7,2]=>([(0,6),(1,6),(2,3),(2,4),(4,6),(6,5)],7)=>5
[5,4,1,3,7,2,6]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(3,6),(4,5),(4,6)],7)=>5
[5,4,1,3,7,6,2]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(4,5),(4,6)],7)=>6
[5,4,1,6,2,3,7]=>([(0,6),(1,6),(2,3),(2,6),(3,4),(4,5),(6,5)],7)=>3
[5,4,1,6,2,7,3]=>([(0,6),(1,6),(2,3),(2,6),(3,4),(3,5),(6,5)],7)=>3
[5,4,1,6,3,2,7]=>([(0,5),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)=>6
[5,4,1,6,3,7,2]=>([(0,6),(1,6),(2,3),(2,4),(2,6),(4,5),(6,5)],7)=>6
[5,4,1,6,7,2,3]=>([(0,6),(1,6),(2,3),(2,6),(3,5),(6,4)],7)=>3
[5,4,1,6,7,3,2]=>([(0,6),(1,6),(2,3),(2,4),(2,6),(6,5)],7)=>7
[5,4,1,7,2,3,6]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(3,4),(4,6)],7)=>3
[5,4,1,7,2,6,3]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(3,4),(3,6)],7)=>4
[5,4,1,7,3,2,6]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(3,6),(4,6)],7)=>6
[5,4,1,7,3,6,2]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(4,6)],7)=>7
[5,4,1,7,6,2,3]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4)],7)=>5
[5,4,1,7,6,3,2]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>9
[5,4,2,1,3,6,7]=>([(0,6),(1,6),(2,5),(3,5),(5,6),(6,4)],7)=>5
[5,4,2,1,3,7,6]=>([(0,5),(0,6),(1,5),(1,6),(2,4),(3,4),(4,5),(4,6)],7)=>5
[5,4,2,1,6,3,7]=>([(0,6),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(6,5)],7)=>5
[5,4,2,1,6,7,3]=>([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(6,4)],7)=>5
[5,4,2,1,7,3,6]=>([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5)],7)=>5
[5,4,2,1,7,6,3]=>([(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>6
[5,4,2,3,1,6,7]=>([(0,6),(1,6),(2,6),(3,4),(4,6),(6,5)],7)=>7
[5,4,2,3,1,7,6]=>([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(4,5),(4,6)],7)=>7
[5,4,2,3,6,1,7]=>([(0,6),(1,6),(2,5),(3,4),(4,6),(6,5)],7)=>7
[5,4,2,3,6,7,1]=>([(1,6),(2,6),(3,4),(4,6),(6,5)],7)=>7
[5,4,2,3,7,1,6]=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(4,5),(4,6)],7)=>7
[5,4,2,3,7,6,1]=>([(1,5),(1,6),(2,5),(2,6),(3,4),(4,5),(4,6)],7)=>8
[5,4,2,6,1,3,7]=>([(0,6),(1,6),(2,4),(3,4),(3,6),(4,5),(6,5)],7)=>5
[5,4,2,6,1,7,3]=>([(0,6),(1,6),(2,4),(2,6),(3,4),(3,5),(6,5)],7)=>5
[5,4,2,6,3,1,7]=>([(0,6),(1,5),(2,5),(3,4),(3,5),(4,6),(5,6)],7)=>8
[5,4,2,6,3,7,1]=>([(1,6),(2,6),(3,4),(3,6),(4,5),(6,5)],7)=>8
[5,4,2,6,7,1,3]=>([(0,6),(1,6),(2,5),(3,5),(3,6),(6,4)],7)=>5
[5,4,2,6,7,3,1]=>([(1,6),(2,6),(3,4),(3,6),(6,5)],7)=>9
[5,4,2,7,1,3,6]=>([(0,5),(0,6),(1,5),(1,6),(2,4),(3,4),(3,5),(4,6)],7)=>5
[5,4,2,7,1,6,3]=>([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6)],7)=>6
[5,4,2,7,3,1,6]=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(4,6)],7)=>8
[5,4,2,7,3,6,1]=>([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(4,6)],7)=>9
[5,4,2,7,6,1,3]=>([(0,5),(0,6),(1,5),(1,6),(2,4),(3,4),(3,5),(3,6)],7)=>7
[5,4,2,7,6,3,1]=>([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>11
[5,4,3,1,2,6,7]=>([(0,6),(1,6),(2,6),(3,4),(4,6),(6,5)],7)=>7
[5,4,3,1,2,7,6]=>([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(4,5),(4,6)],7)=>7
[5,4,3,1,6,2,7]=>([(0,6),(1,6),(2,6),(3,4),(3,6),(4,5),(6,5)],7)=>7
[5,4,3,1,6,7,2]=>([(0,6),(1,6),(2,6),(3,4),(3,6),(6,5)],7)=>7
[5,4,3,1,7,2,6]=>([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(4,6)],7)=>7
[5,4,3,1,7,6,2]=>([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>8
[5,4,3,2,1,6,7]=>([(0,6),(1,6),(2,6),(3,6),(4,6),(6,5)],7)=>10
[5,4,3,2,1,7,6]=>([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>10
[5,4,3,2,6,1,7]=>([(0,6),(1,6),(2,6),(3,6),(4,5),(6,5)],7)=>10
[5,4,3,2,6,7,1]=>([(1,6),(2,6),(3,6),(4,6),(6,5)],7)=>10
[5,4,3,2,7,1,6]=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>10
[5,4,3,2,7,6,1]=>([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>11
[5,4,3,6,1,2,7]=>([(0,6),(1,6),(2,6),(3,4),(4,5),(6,5)],7)=>7
[5,4,3,6,1,7,2]=>([(0,6),(1,6),(2,6),(3,4),(3,5),(6,5)],7)=>7
[5,4,3,6,2,1,7]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(5,6)],7)=>11
[5,4,3,6,2,7,1]=>([(1,6),(2,6),(3,6),(4,5),(6,5)],7)=>11
[5,4,3,6,7,1,2]=>([(0,6),(1,6),(2,6),(3,4),(6,5)],7)=>7
[5,4,3,6,7,2,1]=>([(2,6),(3,6),(4,6),(6,5)],7)=>12
[5,4,3,7,1,2,6]=>([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(4,6)],7)=>7
[5,4,3,7,1,6,2]=>([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6)],7)=>8
[5,4,3,7,2,1,6]=>([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>11
[5,4,3,7,2,6,1]=>([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>12
[5,4,3,7,6,1,2]=>([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4)],7)=>9
[5,4,3,7,6,2,1]=>([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>14
[5,4,6,1,2,3,7]=>([(0,5),(1,5),(2,3),(3,4),(4,6),(5,6)],7)=>3
[5,4,6,1,2,7,3]=>([(0,5),(1,5),(2,3),(3,4),(3,6),(5,6)],7)=>3
[5,4,6,1,3,2,7]=>([(0,5),(1,5),(2,3),(2,4),(3,6),(4,6),(5,6)],7)=>6
[5,4,6,1,3,7,2]=>([(0,5),(1,5),(2,3),(2,4),(4,6),(5,6)],7)=>6
[5,4,6,1,7,2,3]=>([(0,5),(1,5),(2,3),(2,6),(3,4),(5,6)],7)=>3
[5,4,6,1,7,3,2]=>([(0,5),(1,5),(2,3),(2,4),(2,6),(5,6)],7)=>7
[5,4,6,2,1,3,7]=>([(0,5),(1,5),(2,4),(3,4),(4,6),(5,6)],7)=>6
[5,4,6,2,1,7,3]=>([(0,5),(1,5),(2,4),(2,6),(3,4),(3,6),(5,6)],7)=>6
[5,4,6,2,3,1,7]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)=>9
[5,4,6,2,3,7,1]=>([(1,5),(2,5),(3,4),(4,6),(5,6)],7)=>9
[5,4,6,2,7,1,3]=>([(0,4),(1,5),(2,5),(3,4),(3,6),(5,6)],7)=>6
[5,4,6,2,7,3,1]=>([(1,5),(2,5),(3,4),(3,6),(5,6)],7)=>10
[5,4,6,3,1,2,7]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)=>9
[5,4,6,3,1,7,2]=>([(0,6),(1,5),(2,5),(3,4),(3,6),(5,6)],7)=>9
[5,4,6,3,2,1,7]=>([(0,6),(1,6),(2,6),(3,5),(4,5),(5,6)],7)=>13
[5,4,6,3,2,7,1]=>([(1,6),(2,6),(3,5),(4,5),(5,6)],7)=>13
[5,4,6,3,7,1,2]=>([(0,6),(1,5),(2,5),(3,4),(5,6)],7)=>9
[5,4,6,3,7,2,1]=>([(2,6),(3,5),(4,5),(5,6)],7)=>14
[5,4,6,7,1,2,3]=>([(0,6),(1,6),(2,3),(3,5),(6,4)],7)=>3
[5,4,6,7,1,3,2]=>([(0,6),(1,6),(2,3),(2,4),(6,5)],7)=>7
[5,4,6,7,2,1,3]=>([(0,6),(1,6),(2,5),(3,5),(6,4)],7)=>7
[5,4,6,7,2,3,1]=>([(1,6),(2,6),(3,4),(6,5)],7)=>11
[5,4,6,7,3,1,2]=>([(1,6),(2,6),(3,4),(6,5)],7)=>11
[5,4,6,7,3,2,1]=>([(3,6),(4,6),(6,5)],7)=>16
[5,4,7,1,2,3,6]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(3,4),(4,6)],7)=>3
[5,4,7,1,2,6,3]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(3,4),(3,6)],7)=>4
[5,4,7,1,3,2,6]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(3,6),(4,6)],7)=>6
[5,4,7,1,3,6,2]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(4,6)],7)=>7
[5,4,7,1,6,2,3]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,6),(3,4)],7)=>5
[5,4,7,1,6,3,2]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6)],7)=>9
[5,4,7,2,1,3,6]=>([(0,5),(1,5),(2,4),(2,6),(3,4),(3,6),(5,6)],7)=>6
[5,4,7,2,1,6,3]=>([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6)],7)=>7
[5,4,7,2,3,1,6]=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(4,6)],7)=>9
[5,4,7,2,3,6,1]=>([(1,5),(1,6),(2,5),(2,6),(3,4),(4,6)],7)=>10
[5,4,7,2,6,1,3]=>([(0,5),(1,4),(1,6),(2,4),(2,6),(3,5),(3,6)],7)=>8
[5,4,7,2,6,3,1]=>([(1,5),(1,6),(2,5),(2,6),(3,4),(3,6)],7)=>12
[5,4,7,3,1,2,6]=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(4,6)],7)=>9
[5,4,7,3,1,6,2]=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6)],7)=>10
[5,4,7,3,2,1,6]=>([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>13
[5,4,7,3,2,6,1]=>([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>14
[5,4,7,3,6,1,2]=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4)],7)=>11
[5,4,7,3,6,2,1]=>([(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>16
[5,4,7,6,1,2,3]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(3,4)],7)=>6
[5,4,7,6,1,3,2]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4)],7)=>10
[5,4,7,6,2,1,3]=>([(0,4),(1,4),(2,5),(2,6),(3,5),(3,6)],7)=>10
[5,4,7,6,2,3,1]=>([(1,5),(1,6),(2,5),(2,6),(3,4)],7)=>14
[5,4,7,6,3,1,2]=>([(1,5),(1,6),(2,5),(2,6),(3,4)],7)=>14
[5,4,7,6,3,2,1]=>([(3,5),(3,6),(4,5),(4,6)],7)=>19
[5,6,1,7,4,3,2]=>([(0,5),(1,2),(1,3),(1,4),(1,6),(5,6)],7)=>10
[5,6,2,1,3,4,7]=>([(0,5),(1,5),(2,3),(3,6),(4,6),(5,4)],7)=>2
[5,6,2,1,3,7,4]=>([(0,5),(1,5),(2,3),(3,6),(5,4),(5,6)],7)=>2
[5,6,2,1,4,3,7]=>([(0,4),(0,5),(1,4),(1,5),(2,3),(3,6),(4,6),(5,6)],7)=>4
[5,6,2,1,4,7,3]=>([(0,4),(0,5),(1,4),(1,5),(2,3),(3,6),(5,6)],7)=>4
[5,6,2,1,7,3,4]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(3,6),(5,4)],7)=>2
[5,6,3,2,1,4,7]=>([(0,6),(1,6),(2,6),(3,4),(4,5),(6,5)],7)=>7
[5,6,3,2,1,7,4]=>([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(4,6)],7)=>7
[5,6,3,2,4,1,7]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)=>9
[5,6,3,2,4,7,1]=>([(1,5),(2,5),(3,4),(4,6),(5,6)],7)=>9
[5,6,3,2,7,1,4]=>([(0,5),(1,5),(1,6),(2,5),(2,6),(3,4),(4,6)],7)=>7
[5,6,3,2,7,4,1]=>([(1,5),(1,6),(2,5),(2,6),(3,4),(4,6)],7)=>10
[5,6,3,4,2,1,7]=>([(0,6),(1,6),(2,5),(3,4),(4,6),(5,6)],7)=>12
[5,6,3,7,2,1,4]=>([(0,6),(1,6),(2,5),(2,6),(3,4),(4,5)],7)=>8
[5,6,4,2,1,3,7]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)=>9
[5,6,4,2,1,7,3]=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(4,6)],7)=>9
[5,6,4,2,3,1,7]=>([(0,6),(1,6),(2,5),(3,4),(4,6),(5,6)],7)=>12
[5,6,4,2,7,1,3]=>([(0,6),(1,5),(2,5),(2,6),(3,4),(4,6)],7)=>9
[5,6,4,3,1,2,7]=>([(0,6),(1,6),(2,5),(3,4),(4,6),(5,6)],7)=>12
[5,6,4,3,1,7,2]=>([(0,6),(1,6),(2,5),(3,4),(3,6),(5,6)],7)=>12
[5,6,4,3,2,1,7]=>([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7)=>16
[5,6,4,3,2,7,1]=>([(1,6),(2,6),(3,6),(4,5),(5,6)],7)=>16
[5,6,4,3,7,1,2]=>([(0,6),(1,6),(2,4),(3,5),(5,6)],7)=>12
[5,6,4,3,7,2,1]=>([(2,6),(3,6),(4,5),(5,6)],7)=>17
[5,6,4,7,2,1,3]=>([(0,6),(1,5),(2,5),(3,4),(4,6)],7)=>10
[5,6,7,2,1,3,4]=>([(0,6),(1,6),(2,3),(3,5),(6,4)],7)=>3
[5,6,7,2,1,4,3]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(3,4)],7)=>6
[5,6,7,3,2,1,4]=>([(0,6),(1,6),(2,6),(3,4),(4,5)],7)=>10
[5,6,7,3,2,4,1]=>([(1,6),(2,6),(3,4),(4,5)],7)=>13
[5,6,7,4,2,1,3]=>([(1,6),(2,6),(3,4),(4,5)],7)=>13
[5,6,7,4,3,2,1]=>([(4,5),(5,6)],7)=>22
[5,7,2,1,3,4,6]=>([(0,5),(1,5),(2,3),(2,6),(4,6),(5,4)],7)=>2
[5,7,2,1,3,6,4]=>([(0,6),(1,6),(2,4),(2,5),(6,3),(6,5)],7)=>3
[5,7,2,1,4,3,6]=>([(0,4),(0,5),(1,4),(1,5),(2,3),(2,6),(4,6),(5,6)],7)=>4
[5,7,2,1,4,6,3]=>([(0,4),(0,5),(1,4),(1,5),(2,3),(2,6),(5,6)],7)=>5
[5,7,2,1,6,3,4]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,6),(5,4)],7)=>4
[5,7,3,2,1,4,6]=>([(0,6),(1,6),(2,6),(3,4),(3,5),(6,5)],7)=>7
[5,7,3,2,1,6,4]=>([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6)],7)=>8
[5,7,3,2,4,1,6]=>([(0,6),(1,5),(2,5),(3,4),(3,6),(5,6)],7)=>9
[5,7,3,2,4,6,1]=>([(1,5),(2,5),(3,4),(3,6),(5,6)],7)=>10
[5,7,3,2,6,1,4]=>([(0,5),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6)],7)=>9
[5,7,3,2,6,4,1]=>([(1,5),(1,6),(2,5),(2,6),(3,4),(3,6)],7)=>12
[5,7,3,4,2,1,6]=>([(0,6),(1,6),(2,5),(3,4),(3,6),(5,6)],7)=>12
[5,7,3,6,2,1,4]=>([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5)],7)=>11
[5,7,4,2,1,3,6]=>([(0,6),(1,5),(2,5),(3,4),(3,6),(5,6)],7)=>9
[5,7,4,2,1,6,3]=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6)],7)=>10
[5,7,4,2,3,1,6]=>([(0,6),(1,6),(2,5),(3,4),(3,6),(5,6)],7)=>12
[5,7,4,2,6,1,3]=>([(0,6),(1,5),(2,5),(2,6),(3,4),(3,6)],7)=>11
[5,7,4,3,1,2,6]=>([(0,6),(1,6),(2,5),(3,4),(3,6),(5,6)],7)=>12
[5,7,4,3,1,6,2]=>([(0,6),(1,6),(2,5),(2,6),(3,4),(3,6)],7)=>13
[5,7,4,3,2,1,6]=>([(0,6),(1,6),(2,6),(3,6),(4,5),(4,6)],7)=>16
[5,7,4,3,2,6,1]=>([(1,6),(2,6),(3,6),(4,5),(4,6)],7)=>17
[5,7,4,3,6,1,2]=>([(0,6),(1,6),(2,5),(3,4),(3,6)],7)=>14
[5,7,4,3,6,2,1]=>([(2,6),(3,6),(4,5),(4,6)],7)=>19
[5,7,4,6,2,1,3]=>([(0,5),(1,5),(2,6),(3,4),(3,6)],7)=>13
[5,7,4,6,3,2,1]=>([(3,6),(4,5),(4,6)],7)=>22
[5,7,6,2,1,3,4]=>([(0,6),(1,6),(2,3),(2,4),(6,5)],7)=>7
[5,7,6,2,1,4,3]=>([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4)],7)=>10
[5,7,6,3,2,1,4]=>([(0,6),(1,6),(2,6),(3,4),(3,5)],7)=>14
[5,7,6,3,2,4,1]=>([(1,6),(2,6),(3,4),(3,5)],7)=>17
[5,7,6,3,4,2,1]=>([(2,6),(3,4),(3,5)],7)=>21
[5,7,6,4,2,1,3]=>([(1,6),(2,6),(3,4),(3,5)],7)=>17
[5,7,6,4,2,3,1]=>([(2,6),(3,4),(3,5)],7)=>21
[5,7,6,4,3,1,2]=>([(2,6),(3,4),(3,5)],7)=>21
[5,7,6,4,3,2,1]=>([(4,5),(4,6)],7)=>26
[6,1,2,3,5,4,7]=>([(0,6),(1,4),(2,6),(3,6),(4,5),(5,2),(5,3)],7)=>1
[6,1,2,3,5,7,4]=>([(0,6),(1,4),(3,6),(4,5),(5,2),(5,3)],7)=>1
[6,1,2,5,4,3,7]=>([(0,6),(1,5),(2,6),(3,6),(4,6),(5,2),(5,3),(5,4)],7)=>4
[6,1,2,5,4,7,3]=>([(0,6),(1,5),(3,6),(4,6),(5,2),(5,3),(5,4)],7)=>4
[6,1,2,5,7,4,3]=>([(0,6),(1,5),(4,6),(5,2),(5,3),(5,4)],7)=>5
[6,1,3,2,4,5,7]=>([(0,5),(1,2),(1,3),(2,6),(3,6),(4,5),(6,4)],7)=>1
[6,1,3,5,2,4,7]=>([(0,6),(1,3),(1,4),(2,6),(3,5),(4,2),(4,5),(5,6)],7)=>3
[6,1,3,5,2,7,4]=>([(0,6),(1,3),(1,4),(2,6),(3,5),(3,6),(4,2),(4,5)],7)=>3
[6,1,3,5,4,2,7]=>([(0,6),(1,4),(1,5),(2,6),(3,6),(4,6),(5,2),(5,3)],7)=>5
[6,1,3,5,4,7,2]=>([(0,6),(1,2),(1,5),(3,6),(4,6),(5,3),(5,4)],7)=>5
[6,1,3,5,7,2,4]=>([(0,6),(1,3),(1,4),(2,6),(3,5),(4,2),(4,5)],7)=>3
[6,1,3,5,7,4,2]=>([(0,6),(1,3),(1,5),(4,6),(5,2),(5,4)],7)=>6
[6,1,4,2,5,3,7]=>([(0,6),(1,3),(1,4),(2,6),(3,5),(4,2),(4,5),(5,6)],7)=>3
[6,1,4,5,2,3,7]=>([(0,6),(1,4),(1,5),(2,6),(3,6),(4,3),(5,2)],7)=>4
[6,1,4,5,2,7,3]=>([(0,6),(1,4),(1,5),(3,6),(4,3),(5,2),(5,6)],7)=>4
[6,1,4,5,3,2,7]=>([(0,6),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,2)],7)=>7
[6,1,4,5,3,7,2]=>([(0,6),(1,2),(1,4),(1,5),(3,6),(4,6),(5,3)],7)=>7
[6,1,4,5,7,2,3]=>([(0,6),(1,4),(1,5),(3,6),(4,2),(5,3)],7)=>4
[6,1,4,5,7,3,2]=>([(0,6),(1,2),(1,3),(1,5),(4,6),(5,4)],7)=>8
[6,1,5,2,4,3,7]=>([(0,6),(1,4),(1,5),(2,6),(3,6),(4,6),(5,2),(5,3)],7)=>5
[6,1,5,2,4,7,3]=>([(0,6),(1,4),(1,5),(3,6),(4,6),(5,2),(5,3)],7)=>5
[6,1,5,3,4,2,7]=>([(0,6),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,2)],7)=>7
[6,1,5,3,4,7,2]=>([(0,6),(1,2),(1,4),(1,5),(3,6),(4,6),(5,3)],7)=>7
[6,1,5,3,7,4,2]=>([(0,6),(1,3),(1,4),(1,5),(4,6),(5,2),(5,6)],7)=>8
[6,1,5,4,2,3,7]=>([(0,6),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,2)],7)=>7
[6,1,5,4,2,7,3]=>([(0,6),(1,3),(1,4),(1,5),(3,6),(4,6),(5,2),(5,6)],7)=>7
[6,1,5,4,3,2,7]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,6)],7)=>10
[6,1,5,4,3,7,2]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(3,6),(4,6),(5,6)],7)=>10
[6,1,5,4,7,2,3]=>([(0,6),(1,3),(1,4),(1,5),(3,6),(4,6),(5,2)],7)=>7
[6,1,5,4,7,3,2]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(4,6),(5,6)],7)=>11
[6,1,5,7,3,4,2]=>([(0,6),(1,3),(1,4),(1,5),(4,6),(5,2)],7)=>9
[6,1,5,7,4,2,3]=>([(0,6),(1,3),(1,4),(1,5),(4,6),(5,2)],7)=>9
[6,1,5,7,4,3,2]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(5,6)],7)=>13
[6,1,7,2,3,5,4]=>([(0,6),(1,4),(1,6),(4,5),(5,2),(5,3)],7)=>2
[6,1,7,2,5,4,3]=>([(0,6),(1,5),(1,6),(5,2),(5,3),(5,4)],7)=>7
[6,1,7,3,2,4,5]=>([(0,5),(1,3),(1,4),(1,5),(3,6),(4,6),(6,2)],7)=>2
[6,1,7,3,2,5,4]=>([(0,6),(1,2),(1,3),(1,6),(2,4),(2,5),(3,4),(3,5)],7)=>4
[6,1,7,3,5,2,4]=>([(0,6),(1,3),(1,4),(1,6),(3,5),(4,2),(4,5)],7)=>6
[6,1,7,3,5,4,2]=>([(0,6),(1,4),(1,5),(1,6),(5,2),(5,3)],7)=>9
[6,1,7,4,2,5,3]=>([(0,6),(1,3),(1,4),(1,6),(3,5),(4,2),(4,5)],7)=>6
[6,1,7,4,3,2,5]=>([(0,5),(1,2),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6)],7)=>7
[6,1,7,4,3,5,2]=>([(0,6),(1,2),(1,3),(1,4),(1,6),(3,5),(4,5)],7)=>9
[6,1,7,4,5,2,3]=>([(0,6),(1,4),(1,5),(1,6),(4,3),(5,2)],7)=>8
[6,1,7,4,5,3,2]=>([(0,6),(1,3),(1,4),(1,5),(1,6),(5,2)],7)=>12
[6,1,7,5,2,4,3]=>([(0,6),(1,4),(1,5),(1,6),(5,2),(5,3)],7)=>9
[6,1,7,5,3,2,4]=>([(0,6),(1,2),(1,3),(1,4),(1,6),(3,5),(4,5)],7)=>9
[6,1,7,5,3,4,2]=>([(0,6),(1,3),(1,4),(1,5),(1,6),(5,2)],7)=>12
[6,1,7,5,4,2,3]=>([(0,6),(1,3),(1,4),(1,5),(1,6),(5,2)],7)=>12
[6,1,7,5,4,3,2]=>([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>16
[6,2,1,3,4,5,7]=>([(0,6),(1,6),(2,5),(3,4),(4,5),(6,3)],7)=>1
[6,2,1,3,4,7,5]=>([(0,6),(1,5),(2,5),(3,4),(3,6),(5,3)],7)=>1
[6,2,1,3,5,4,7]=>([(0,6),(1,5),(2,5),(3,6),(4,6),(5,3),(5,4)],7)=>2
[6,2,1,3,5,7,4]=>([(0,6),(1,5),(2,5),(4,6),(5,3),(5,4)],7)=>2
[6,2,1,3,7,4,5]=>([(0,6),(1,6),(2,5),(3,4),(6,3),(6,5)],7)=>1
[6,2,1,3,7,5,4]=>([(0,6),(1,6),(2,5),(6,3),(6,4),(6,5)],7)=>3
[6,2,1,4,3,5,7]=>([(0,3),(1,5),(1,6),(2,5),(2,6),(4,3),(5,4),(6,4)],7)=>2
[6,2,1,4,3,7,5]=>([(0,6),(1,3),(1,4),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7)=>2
[6,2,1,4,5,3,7]=>([(0,6),(1,4),(1,5),(2,4),(2,5),(3,6),(4,6),(5,3)],7)=>3
[6,2,1,4,5,7,3]=>([(0,6),(1,4),(1,5),(2,4),(2,5),(3,6),(5,3)],7)=>3
[6,2,1,4,7,3,5]=>([(0,4),(1,5),(1,6),(2,5),(2,6),(5,3),(6,3),(6,4)],7)=>2
[6,2,1,4,7,5,3]=>([(0,5),(1,4),(1,6),(2,4),(2,6),(6,3),(6,5)],7)=>4
[6,2,1,5,3,4,7]=>([(0,6),(1,4),(1,5),(2,4),(2,5),(3,6),(4,6),(5,3)],7)=>3
[6,2,1,5,3,7,4]=>([(0,6),(1,4),(1,5),(2,4),(2,5),(4,6),(5,3),(5,6)],7)=>3
[6,2,1,5,7,3,4]=>([(0,5),(1,4),(1,6),(2,4),(2,6),(4,5),(6,3)],7)=>3
[6,2,1,7,3,4,5]=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(5,3)],7)=>1
[6,2,1,7,3,5,4]=>([(0,6),(1,5),(1,6),(2,5),(2,6),(5,3),(5,4)],7)=>3
[6,2,1,7,4,3,5]=>([(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,6),(3,5),(4,5)],7)=>3
[6,2,1,7,4,5,3]=>([(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(5,3)],7)=>5
[6,2,1,7,5,3,4]=>([(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(5,3)],7)=>5
[6,2,3,1,4,5,7]=>([(0,6),(1,5),(2,3),(3,6),(4,5),(6,4)],7)=>2
[6,2,3,4,5,1,7]=>([(0,3),(1,6),(2,6),(3,5),(4,6),(5,4)],7)=>4
[6,2,3,4,5,7,1]=>([(1,3),(2,6),(3,5),(4,6),(5,4)],7)=>4
[6,2,3,5,4,1,7]=>([(0,3),(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7)=>6
[6,2,4,3,5,1,7]=>([(0,6),(1,6),(2,3),(2,4),(3,5),(4,5),(5,6)],7)=>6
[6,2,4,5,3,1,7]=>([(0,6),(1,6),(2,3),(2,4),(3,5),(4,6),(5,6)],7)=>8
[6,2,5,1,3,4,7]=>([(0,6),(1,5),(2,3),(2,5),(3,6),(4,6),(5,4)],7)=>4
[6,2,5,3,4,1,7]=>([(0,6),(1,6),(2,3),(2,4),(3,5),(4,6),(5,6)],7)=>8
[6,2,5,4,3,1,7]=>([(0,6),(1,6),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)=>11
[6,2,5,4,3,7,1]=>([(1,6),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)=>11
[6,2,5,4,7,3,1]=>([(1,6),(2,3),(2,4),(2,5),(4,6),(5,6)],7)=>12
[6,2,5,7,4,3,1]=>([(1,6),(2,3),(2,4),(2,5),(5,6)],7)=>14
[6,2,7,1,3,4,5]=>([(0,6),(1,5),(2,5),(2,6),(3,4),(6,3)],7)=>1
[6,2,7,1,3,5,4]=>([(0,6),(1,5),(2,5),(2,6),(6,3),(6,4)],7)=>3
[6,2,7,1,4,3,5]=>([(0,4),(1,5),(1,6),(2,4),(2,5),(2,6),(5,3),(6,3)],7)=>3
[6,2,7,1,4,5,3]=>([(0,4),(1,5),(1,6),(2,4),(2,5),(2,6),(6,3)],7)=>5
[6,2,7,1,5,3,4]=>([(0,4),(1,5),(1,6),(2,4),(2,5),(2,6),(6,3)],7)=>5
[6,2,7,3,4,5,1]=>([(1,6),(2,3),(2,6),(3,5),(5,4)],7)=>7
[6,2,7,3,5,4,1]=>([(1,6),(2,3),(2,6),(3,4),(3,5)],7)=>10
[6,2,7,4,3,5,1]=>([(1,5),(2,3),(2,4),(2,5),(3,6),(4,6)],7)=>10
[6,2,7,4,5,3,1]=>([(1,6),(2,3),(2,4),(2,6),(4,5)],7)=>13
[6,2,7,5,3,4,1]=>([(1,6),(2,3),(2,4),(2,6),(4,5)],7)=>13
[6,2,7,5,4,3,1]=>([(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>17
[6,3,1,2,4,5,7]=>([(0,6),(1,5),(2,3),(3,6),(4,5),(6,4)],7)=>2
[6,3,1,4,5,2,7]=>([(0,6),(1,5),(2,3),(2,5),(3,6),(4,6),(5,4)],7)=>4
[6,3,1,4,5,7,2]=>([(0,6),(1,5),(2,3),(2,5),(4,6),(5,4)],7)=>4
[6,3,2,1,4,5,7]=>([(0,6),(1,6),(2,6),(3,5),(4,5),(6,4)],7)=>4
[6,3,2,1,4,7,5]=>([(0,6),(1,6),(2,6),(3,5),(6,4),(6,5)],7)=>4
[6,3,2,1,5,4,7]=>([(0,6),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)=>5
[6,3,2,1,5,7,4]=>([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(6,4)],7)=>5
[6,3,2,1,7,4,5]=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(5,4)],7)=>4
[6,3,2,1,7,5,4]=>([(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>6
[6,3,2,4,1,5,7]=>([(0,4),(1,4),(2,5),(3,6),(4,6),(6,5)],7)=>5
[6,3,2,4,1,7,5]=>([(0,6),(1,5),(1,6),(2,4),(3,4),(4,5),(4,6)],7)=>5
[6,3,2,4,5,1,7]=>([(0,6),(1,6),(2,5),(3,5),(4,6),(5,4)],7)=>6
[6,3,2,4,5,7,1]=>([(1,6),(2,5),(3,5),(4,6),(5,4)],7)=>6
[6,3,2,4,7,1,5]=>([(0,4),(1,4),(2,6),(3,5),(4,5),(4,6)],7)=>5
[6,3,2,4,7,5,1]=>([(1,6),(2,6),(3,5),(6,4),(6,5)],7)=>7
[6,3,2,5,1,4,7]=>([(0,6),(1,5),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)=>6
[6,3,2,5,1,7,4]=>([(0,6),(1,5),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6)],7)=>6
[6,3,2,5,4,1,7]=>([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)=>8
[6,3,2,5,4,7,1]=>([(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)=>8
[6,3,2,5,7,1,4]=>([(0,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5)],7)=>6
[6,3,2,5,7,4,1]=>([(1,6),(2,4),(2,5),(3,4),(3,5),(5,6)],7)=>9
[6,3,2,7,1,4,5]=>([(0,6),(1,5),(2,5),(2,6),(3,5),(3,6),(6,4)],7)=>4
[6,3,2,7,1,5,4]=>([(0,6),(1,4),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>6
[6,3,2,7,4,1,5]=>([(0,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5)],7)=>6
[6,3,2,7,4,5,1]=>([(1,6),(2,5),(2,6),(3,5),(3,6),(5,4)],7)=>8
[6,3,2,7,5,1,4]=>([(0,6),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>8
[6,3,2,7,5,4,1]=>([(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>11
[6,3,4,2,1,5,7]=>([(0,6),(1,6),(2,5),(3,4),(4,6),(6,5)],7)=>7
[6,3,4,2,1,7,5]=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(4,5),(4,6)],7)=>7
[6,3,4,2,5,1,7]=>([(0,6),(1,6),(2,5),(3,4),(4,5),(5,6)],7)=>8
[6,3,4,2,7,1,5]=>([(0,6),(1,5),(2,5),(2,6),(3,4),(4,5),(4,6)],7)=>7
[6,3,4,5,2,1,7]=>([(0,6),(1,6),(2,6),(3,4),(4,5),(5,6)],7)=>10
[6,3,4,5,2,7,1]=>([(1,6),(2,6),(3,4),(4,5),(5,6)],7)=>10
[6,3,4,7,2,1,5]=>([(0,6),(1,6),(2,5),(3,4),(4,5),(4,6)],7)=>8
[6,3,5,2,1,4,7]=>([(0,6),(1,5),(2,5),(3,4),(3,5),(4,6),(5,6)],7)=>8
[6,3,5,2,1,7,4]=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(4,6)],7)=>8
[6,3,5,2,4,1,7]=>([(0,6),(1,6),(2,5),(3,4),(3,5),(4,6),(5,6)],7)=>10
[6,3,5,2,7,1,4]=>([(0,6),(1,5),(2,5),(2,6),(3,4),(3,5),(4,6)],7)=>8
[6,3,5,4,2,1,7]=>([(0,6),(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7)=>13
[6,3,5,4,2,7,1]=>([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7)=>13
[6,3,5,7,2,1,4]=>([(0,6),(1,6),(2,5),(3,4),(3,6),(4,5)],7)=>9
[6,3,7,2,1,4,5]=>([(0,6),(1,6),(2,5),(3,5),(3,6),(6,4)],7)=>5
[6,3,7,2,1,5,4]=>([(0,5),(0,6),(1,5),(1,6),(2,4),(3,4),(3,5),(3,6)],7)=>7
[6,3,7,2,4,1,5]=>([(0,6),(1,4),(2,5),(3,4),(3,5),(5,6)],7)=>7
[6,3,7,2,4,5,1]=>([(1,6),(2,5),(3,5),(3,6),(6,4)],7)=>9
[6,3,7,2,5,1,4]=>([(0,6),(1,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>9
[6,3,7,2,5,4,1]=>([(1,6),(2,4),(2,5),(3,4),(3,5),(3,6)],7)=>12
[6,3,7,4,2,1,5]=>([(0,6),(1,6),(2,5),(3,4),(3,5),(4,6)],7)=>10
[6,3,7,4,5,2,1]=>([(2,6),(3,4),(3,6),(4,5)],7)=>15
[6,3,7,5,2,1,4]=>([(0,6),(1,6),(2,5),(3,4),(3,5),(3,6)],7)=>12
[6,3,7,5,4,2,1]=>([(2,6),(3,4),(3,5),(3,6)],7)=>19
[6,4,2,1,3,5,7]=>([(0,4),(1,4),(2,5),(3,6),(4,6),(6,5)],7)=>5
[6,4,2,1,3,7,5]=>([(0,6),(1,5),(1,6),(2,4),(3,4),(4,5),(4,6)],7)=>5
[6,4,2,1,5,3,7]=>([(0,6),(1,5),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)=>6
[6,4,2,1,5,7,3]=>([(0,6),(1,5),(2,4),(2,6),(3,4),(3,6),(6,5)],7)=>6
[6,4,2,1,7,3,5]=>([(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5)],7)=>5
[6,4,2,1,7,5,3]=>([(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>7
[6,4,2,3,1,5,7]=>([(0,6),(1,6),(2,5),(3,4),(4,6),(6,5)],7)=>7
[6,4,2,3,1,7,5]=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(4,5),(4,6)],7)=>7
[6,4,2,3,5,1,7]=>([(0,6),(1,6),(2,5),(3,4),(4,5),(5,6)],7)=>8
[6,4,2,3,7,1,5]=>([(0,6),(1,5),(2,5),(2,6),(3,4),(4,5),(4,6)],7)=>7
[6,4,2,5,1,3,7]=>([(0,6),(1,5),(2,4),(3,4),(3,5),(4,6),(5,6)],7)=>7
[6,4,2,5,1,7,3]=>([(0,6),(1,5),(2,4),(2,6),(3,4),(3,5),(5,6)],7)=>7
[6,4,2,5,3,1,7]=>([(0,6),(1,6),(2,5),(3,4),(3,5),(4,6),(5,6)],7)=>10
[6,4,2,5,7,1,3]=>([(0,6),(1,4),(2,5),(3,4),(3,5),(5,6)],7)=>7
[6,4,2,7,1,3,5]=>([(0,6),(1,5),(1,6),(2,4),(3,4),(3,6),(4,5)],7)=>5
[6,4,2,7,1,5,3]=>([(0,5),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6)],7)=>7
[6,4,2,7,3,1,5]=>([(0,6),(1,5),(2,5),(2,6),(3,4),(3,5),(4,6)],7)=>8
[6,4,2,7,5,1,3]=>([(0,6),(1,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>9
[6,4,3,1,2,5,7]=>([(0,6),(1,6),(2,5),(3,4),(4,6),(6,5)],7)=>7
[6,4,3,1,2,7,5]=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(4,5),(4,6)],7)=>7
[6,4,3,1,5,2,7]=>([(0,6),(1,5),(2,5),(3,4),(3,5),(4,6),(5,6)],7)=>8
[6,4,3,1,5,7,2]=>([(0,6),(1,6),(2,5),(3,4),(3,6),(6,5)],7)=>8
[6,4,3,1,7,2,5]=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5)],7)=>7
[6,4,3,1,7,5,2]=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>9
[6,4,3,2,1,5,7]=>([(0,6),(1,6),(2,6),(3,6),(4,5),(6,5)],7)=>10
[6,4,3,2,1,7,5]=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>10
[6,4,3,2,5,1,7]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(5,6)],7)=>11
[6,4,3,2,5,7,1]=>([(1,6),(2,6),(3,6),(4,5),(6,5)],7)=>11
[6,4,3,2,7,1,5]=>([(0,6),(1,5),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>10
[6,4,3,2,7,5,1]=>([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>12
[6,4,3,5,1,2,7]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)=>9
[6,4,3,5,1,7,2]=>([(0,6),(1,5),(2,5),(3,4),(3,6),(5,6)],7)=>9
[6,4,3,5,2,1,7]=>([(0,6),(1,6),(2,6),(3,5),(4,5),(5,6)],7)=>13
[6,4,3,5,2,7,1]=>([(1,6),(2,6),(3,5),(4,5),(5,6)],7)=>13
[6,4,3,5,7,1,2]=>([(0,6),(1,5),(2,5),(3,4),(5,6)],7)=>9
[6,4,3,5,7,2,1]=>([(2,6),(3,5),(4,5),(5,6)],7)=>14
[6,4,3,7,1,2,5]=>([(0,5),(1,5),(1,6),(2,5),(2,6),(3,4),(4,6)],7)=>7
[6,4,3,7,1,5,2]=>([(0,5),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6)],7)=>9
[6,4,3,7,2,1,5]=>([(0,6),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)=>11
[6,4,3,7,2,5,1]=>([(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)=>13
[6,4,3,7,5,1,2]=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4)],7)=>11
[6,4,3,7,5,2,1]=>([(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>16
[6,4,5,2,1,3,7]=>([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)=>9
[6,4,5,2,1,7,3]=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(4,6)],7)=>9
[6,4,5,2,3,1,7]=>([(0,6),(1,6),(2,5),(3,4),(4,6),(5,6)],7)=>12
[6,4,5,2,7,1,3]=>([(0,6),(1,5),(2,5),(2,6),(3,4),(4,6)],7)=>9
[6,4,5,3,1,2,7]=>([(0,6),(1,6),(2,5),(3,4),(4,6),(5,6)],7)=>12
[6,4,5,3,1,7,2]=>([(0,6),(1,6),(2,5),(3,4),(3,6),(5,6)],7)=>12
[6,4,5,3,2,1,7]=>([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7)=>16
[6,4,5,3,2,7,1]=>([(1,6),(2,6),(3,6),(4,5),(5,6)],7)=>16
[6,4,5,3,7,1,2]=>([(0,6),(1,6),(2,4),(3,5),(5,6)],7)=>12
[6,4,5,3,7,2,1]=>([(2,6),(3,6),(4,5),(5,6)],7)=>17
[6,4,5,7,2,1,3]=>([(0,6),(1,5),(2,5),(3,4),(4,6)],7)=>10
[6,4,7,2,1,3,5]=>([(0,4),(1,5),(2,5),(3,4),(3,6),(5,6)],7)=>6
[6,4,7,2,1,5,3]=>([(0,5),(1,4),(1,6),(2,4),(2,6),(3,5),(3,6)],7)=>8
[6,4,7,2,3,1,5]=>([(0,6),(1,5),(2,5),(2,6),(3,4),(4,6)],7)=>9
[6,4,7,2,5,1,3]=>([(0,5),(1,4),(2,4),(2,6),(3,5),(3,6)],7)=>10
[6,4,7,3,1,2,5]=>([(0,6),(1,5),(2,5),(2,6),(3,4),(4,6)],7)=>9
[6,4,7,3,1,5,2]=>([(0,6),(1,5),(2,5),(2,6),(3,4),(3,6)],7)=>11
[6,4,7,3,2,1,5]=>([(0,6),(1,6),(2,6),(3,5),(4,5),(4,6)],7)=>13
[6,4,7,3,2,5,1]=>([(1,6),(2,6),(3,5),(4,5),(4,6)],7)=>15
[6,4,7,3,5,1,2]=>([(0,6),(1,5),(2,5),(2,6),(3,4)],7)=>13
[6,4,7,3,5,2,1]=>([(2,6),(3,5),(4,5),(4,6)],7)=>18
[6,4,7,5,2,1,3]=>([(0,5),(1,5),(2,6),(3,4),(3,6)],7)=>13
[6,4,7,5,3,2,1]=>([(3,6),(4,5),(4,6)],7)=>22
[6,5,1,2,3,4,7]=>([(0,3),(1,6),(2,6),(3,5),(4,6),(5,4)],7)=>4
[6,5,1,2,3,7,4]=>([(0,3),(1,6),(2,6),(3,5),(5,4),(5,6)],7)=>4
[6,5,1,2,4,3,7]=>([(0,3),(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7)=>6
[6,5,1,2,4,7,3]=>([(0,3),(1,6),(2,6),(3,4),(3,5),(5,6)],7)=>6
[6,5,1,2,7,3,4]=>([(0,3),(1,6),(2,6),(3,5),(3,6),(5,4)],7)=>4
[6,5,1,2,7,4,3]=>([(0,3),(1,6),(2,6),(3,4),(3,5),(3,6)],7)=>7
[6,5,1,3,2,4,7]=>([(0,6),(1,6),(2,3),(2,4),(3,5),(4,5),(5,6)],7)=>6
[6,5,1,3,2,7,4]=>([(0,6),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7)=>6
[6,5,1,3,4,2,7]=>([(0,6),(1,6),(2,3),(2,4),(3,5),(4,6),(5,6)],7)=>8
[6,5,1,3,4,7,2]=>([(0,6),(1,6),(2,3),(2,4),(4,5),(5,6)],7)=>8
[6,5,1,3,7,2,4]=>([(0,6),(1,6),(2,3),(2,4),(3,5),(4,5),(4,6)],7)=>6
[6,5,1,3,7,4,2]=>([(0,6),(1,6),(2,3),(2,4),(4,5),(4,6)],7)=>9
[6,5,1,4,2,3,7]=>([(0,6),(1,6),(2,3),(2,4),(3,5),(4,6),(5,6)],7)=>8
[6,5,1,4,2,7,3]=>([(0,6),(1,6),(2,3),(2,4),(3,6),(4,5),(4,6)],7)=>8
[6,5,1,4,3,2,7]=>([(0,6),(1,6),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)=>11
[6,5,1,4,3,7,2]=>([(0,6),(1,6),(2,3),(2,4),(2,5),(4,6),(5,6)],7)=>11
[6,5,1,4,7,2,3]=>([(0,6),(1,6),(2,3),(2,4),(3,5),(4,6)],7)=>8
[6,5,1,4,7,3,2]=>([(0,6),(1,6),(2,3),(2,4),(2,5),(5,6)],7)=>12
[6,5,1,7,2,3,4]=>([(0,6),(1,6),(2,3),(2,6),(3,5),(5,4)],7)=>4
[6,5,1,7,2,4,3]=>([(0,6),(1,6),(2,3),(2,6),(3,4),(3,5)],7)=>7
[6,5,1,7,3,2,4]=>([(0,6),(1,6),(2,3),(2,4),(2,6),(3,5),(4,5)],7)=>7
[6,5,1,7,3,4,2]=>([(0,6),(1,6),(2,3),(2,4),(2,6),(4,5)],7)=>10
[6,5,1,7,4,2,3]=>([(0,6),(1,6),(2,3),(2,4),(2,6),(4,5)],7)=>10
[6,5,1,7,4,3,2]=>([(0,6),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>14
[6,5,2,1,3,4,7]=>([(0,6),(1,6),(2,5),(3,5),(4,6),(5,4)],7)=>6
[6,5,2,1,3,7,4]=>([(0,6),(1,6),(2,5),(3,5),(5,4),(5,6)],7)=>6
[6,5,2,1,4,3,7]=>([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)=>8
[6,5,2,1,4,7,3]=>([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(5,6)],7)=>8
[6,5,2,1,7,3,4]=>([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(5,4)],7)=>6
[6,5,2,1,7,4,3]=>([(0,6),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>9
[6,5,2,3,1,4,7]=>([(0,6),(1,6),(2,5),(3,4),(4,5),(5,6)],7)=>8
[6,5,2,3,1,7,4]=>([(0,6),(1,6),(2,5),(2,6),(3,4),(4,5),(4,6)],7)=>8
[6,5,2,3,4,1,7]=>([(0,6),(1,6),(2,6),(3,4),(4,5),(5,6)],7)=>10
[6,5,2,3,4,7,1]=>([(1,6),(2,6),(3,4),(4,5),(5,6)],7)=>10
[6,5,2,3,7,1,4]=>([(0,6),(1,6),(2,5),(3,4),(4,5),(4,6)],7)=>8
[6,5,2,3,7,4,1]=>([(1,6),(2,6),(3,4),(4,5),(4,6)],7)=>11
[6,5,2,4,1,3,7]=>([(0,6),(1,6),(2,5),(3,4),(3,5),(4,6),(5,6)],7)=>10
[6,5,2,4,1,7,3]=>([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(4,6)],7)=>10
[6,5,2,4,3,1,7]=>([(0,6),(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7)=>13
[6,5,2,4,3,7,1]=>([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7)=>13
[6,5,2,4,7,1,3]=>([(0,6),(1,6),(2,5),(3,4),(3,5),(4,6)],7)=>10
[6,5,2,4,7,3,1]=>([(1,6),(2,6),(3,4),(3,5),(5,6)],7)=>14
[6,5,2,7,1,3,4]=>([(0,6),(1,6),(2,5),(3,5),(3,6),(5,4)],7)=>6
[6,5,2,7,1,4,3]=>([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(3,6)],7)=>9
[6,5,2,7,3,1,4]=>([(0,6),(1,6),(2,5),(3,4),(3,6),(4,5)],7)=>9
[6,5,2,7,3,4,1]=>([(1,6),(2,6),(3,4),(3,6),(4,5)],7)=>12
[6,5,2,7,4,1,3]=>([(0,6),(1,6),(2,5),(3,4),(3,5),(3,6)],7)=>12
[6,5,2,7,4,3,1]=>([(1,6),(2,6),(3,4),(3,5),(3,6)],7)=>16
[6,5,3,1,2,4,7]=>([(0,6),(1,6),(2,5),(3,4),(4,5),(5,6)],7)=>8
[6,5,3,1,2,7,4]=>([(0,6),(1,6),(2,5),(2,6),(3,4),(4,5),(4,6)],7)=>8
[6,5,3,1,4,2,7]=>([(0,6),(1,6),(2,5),(3,4),(3,5),(4,6),(5,6)],7)=>10
[6,5,3,1,4,7,2]=>([(0,6),(1,6),(2,5),(3,4),(3,5),(5,6)],7)=>10
[6,5,3,1,7,2,4]=>([(0,6),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5)],7)=>8
[6,5,3,1,7,4,2]=>([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>11
[6,5,3,2,1,4,7]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(5,6)],7)=>11
[6,5,3,2,1,7,4]=>([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>11
[6,5,3,2,4,1,7]=>([(0,6),(1,6),(2,6),(3,5),(4,5),(5,6)],7)=>13
[6,5,3,2,4,7,1]=>([(1,6),(2,6),(3,5),(4,5),(5,6)],7)=>13
[6,5,3,2,7,1,4]=>([(0,6),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)=>11
[6,5,3,2,7,4,1]=>([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>14
[6,5,3,4,1,2,7]=>([(0,6),(1,6),(2,5),(3,4),(4,6),(5,6)],7)=>12
[6,5,3,4,1,7,2]=>([(0,6),(1,6),(2,5),(3,4),(3,6),(5,6)],7)=>12
[6,5,3,4,2,1,7]=>([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7)=>16
[6,5,3,4,2,7,1]=>([(1,6),(2,6),(3,6),(4,5),(5,6)],7)=>16
[6,5,3,4,7,1,2]=>([(0,6),(1,6),(2,4),(3,5),(5,6)],7)=>12
[6,5,3,4,7,2,1]=>([(2,6),(3,6),(4,5),(5,6)],7)=>17
[6,5,3,7,1,2,4]=>([(0,6),(1,6),(2,5),(2,6),(3,4),(4,5)],7)=>8
[6,5,3,7,1,4,2]=>([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5)],7)=>11
[6,5,3,7,2,1,4]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)=>12
[6,5,3,7,2,4,1]=>([(1,6),(2,6),(3,5),(4,5),(4,6)],7)=>15
[6,5,3,7,4,1,2]=>([(0,6),(1,6),(2,5),(3,4),(3,6)],7)=>14
[6,5,3,7,4,2,1]=>([(2,6),(3,6),(4,5),(4,6)],7)=>19
[6,5,4,1,2,3,7]=>([(0,6),(1,6),(2,6),(3,4),(4,5),(5,6)],7)=>10
[6,5,4,1,2,7,3]=>([(0,6),(1,6),(2,6),(3,4),(4,5),(4,6)],7)=>10
[6,5,4,1,3,2,7]=>([(0,6),(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7)=>13
[6,5,4,1,3,7,2]=>([(0,6),(1,6),(2,6),(3,4),(3,5),(5,6)],7)=>13
[6,5,4,1,7,2,3]=>([(0,6),(1,6),(2,6),(3,4),(3,6),(4,5)],7)=>10
[6,5,4,1,7,3,2]=>([(0,6),(1,6),(2,6),(3,4),(3,5),(3,6)],7)=>14
[6,5,4,2,1,3,7]=>([(0,6),(1,6),(2,6),(3,5),(4,5),(5,6)],7)=>13
[6,5,4,2,1,7,3]=>([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>13
[6,5,4,2,3,1,7]=>([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7)=>16
[6,5,4,2,3,7,1]=>([(1,6),(2,6),(3,6),(4,5),(5,6)],7)=>16
[6,5,4,2,7,1,3]=>([(0,6),(1,6),(2,6),(3,5),(4,5),(4,6)],7)=>13
[6,5,4,2,7,3,1]=>([(1,6),(2,6),(3,6),(4,5),(4,6)],7)=>17
[6,5,4,3,1,2,7]=>([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7)=>16
[6,5,4,3,1,7,2]=>([(0,6),(1,6),(2,6),(3,6),(4,5),(4,6)],7)=>16
[6,5,4,3,2,1,7]=>([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)=>20
[6,5,4,3,2,7,1]=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)=>20
[6,5,4,3,7,1,2]=>([(0,6),(1,6),(2,6),(3,6),(4,5)],7)=>16
[6,5,4,3,7,2,1]=>([(2,6),(3,6),(4,6),(5,6)],7)=>21
[6,5,4,7,1,2,3]=>([(0,6),(1,6),(2,6),(3,4),(4,5)],7)=>10
[6,5,4,7,1,3,2]=>([(0,6),(1,6),(2,6),(3,4),(3,5)],7)=>14
[6,5,4,7,2,1,3]=>([(0,6),(1,6),(2,6),(3,5),(4,5)],7)=>14
[6,5,4,7,2,3,1]=>([(1,6),(2,6),(3,6),(4,5)],7)=>18
[6,5,4,7,3,1,2]=>([(1,6),(2,6),(3,6),(4,5)],7)=>18
[6,5,4,7,3,2,1]=>([(3,6),(4,6),(5,6)],7)=>23
[6,5,7,1,2,3,4]=>([(0,3),(1,6),(2,6),(3,5),(5,4)],7)=>4
[6,5,7,1,2,4,3]=>([(0,3),(1,6),(2,6),(3,4),(3,5)],7)=>7
[6,5,7,1,3,2,4]=>([(0,5),(1,5),(2,3),(2,4),(3,6),(4,6)],7)=>7
[6,5,7,1,3,4,2]=>([(0,6),(1,6),(2,3),(2,4),(4,5)],7)=>10
[6,5,7,1,4,2,3]=>([(0,6),(1,6),(2,3),(2,4),(4,5)],7)=>10
[6,5,7,1,4,3,2]=>([(0,6),(1,6),(2,3),(2,4),(2,5)],7)=>14
[6,5,7,2,1,3,4]=>([(0,6),(1,6),(2,5),(3,5),(6,4)],7)=>7
[6,5,7,2,1,4,3]=>([(0,4),(1,4),(2,5),(2,6),(3,5),(3,6)],7)=>10
[6,5,7,2,3,1,4]=>([(0,6),(1,5),(2,5),(3,4),(4,6)],7)=>10
[6,5,7,2,3,4,1]=>([(1,6),(2,6),(3,4),(4,5)],7)=>13
[6,5,7,2,4,1,3]=>([(0,5),(1,5),(2,6),(3,4),(3,6)],7)=>13
[6,5,7,2,4,3,1]=>([(1,6),(2,6),(3,4),(3,5)],7)=>17
[6,5,7,3,1,2,4]=>([(0,6),(1,5),(2,5),(3,4),(4,6)],7)=>10
[6,5,7,3,1,4,2]=>([(0,5),(1,5),(2,6),(3,4),(3,6)],7)=>13
[6,5,7,3,2,1,4]=>([(0,6),(1,6),(2,6),(3,5),(4,5)],7)=>14
[6,5,7,3,2,4,1]=>([(1,6),(2,6),(3,5),(4,5)],7)=>17
[6,5,7,3,4,1,2]=>([(0,6),(1,6),(2,5),(3,4)],7)=>16
[6,5,7,3,4,2,1]=>([(2,6),(3,6),(4,5)],7)=>21
[6,5,7,4,1,2,3]=>([(1,6),(2,6),(3,4),(4,5)],7)=>13
[6,5,7,4,1,3,2]=>([(1,6),(2,6),(3,4),(3,5)],7)=>17
[6,5,7,4,2,1,3]=>([(1,6),(2,6),(3,5),(4,5)],7)=>17
[6,5,7,4,2,3,1]=>([(2,6),(3,6),(4,5)],7)=>21
[6,5,7,4,3,1,2]=>([(2,6),(3,6),(4,5)],7)=>21
[6,5,7,4,3,2,1]=>([(4,6),(5,6)],7)=>26
[6,7,1,5,4,3,2]=>([(0,6),(1,2),(1,3),(1,4),(1,5)],7)=>16
[6,7,2,1,3,4,5]=>([(0,6),(1,6),(2,3),(4,5),(6,4)],7)=>2
[6,7,2,1,3,5,4]=>([(0,6),(1,6),(2,3),(6,4),(6,5)],7)=>4
[6,7,2,1,4,3,5]=>([(0,4),(0,5),(1,4),(1,5),(2,3),(4,6),(5,6)],7)=>4
[6,7,2,1,4,5,3]=>([(0,5),(0,6),(1,5),(1,6),(2,4),(6,3)],7)=>6
[6,7,2,1,5,3,4]=>([(0,5),(0,6),(1,5),(1,6),(2,4),(6,3)],7)=>6
[6,7,2,5,4,3,1]=>([(1,6),(2,3),(2,4),(2,5)],7)=>18
[6,7,3,2,1,4,5]=>([(0,6),(1,6),(2,6),(3,4),(6,5)],7)=>7
[6,7,3,2,1,5,4]=>([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4)],7)=>9
[6,7,3,2,4,1,5]=>([(0,6),(1,5),(2,5),(3,4),(5,6)],7)=>9
[6,7,3,2,4,5,1]=>([(1,6),(2,6),(3,4),(6,5)],7)=>11
[6,7,3,2,5,1,4]=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4)],7)=>11
[6,7,3,2,5,4,1]=>([(1,5),(1,6),(2,5),(2,6),(3,4)],7)=>14
[6,7,3,4,2,1,5]=>([(0,6),(1,6),(2,4),(3,5),(5,6)],7)=>12
[6,7,3,5,2,1,4]=>([(0,6),(1,6),(2,5),(3,4),(3,6)],7)=>14
[6,7,3,5,4,2,1]=>([(2,6),(3,4),(3,5)],7)=>21
[6,7,4,2,1,3,5]=>([(0,6),(1,5),(2,5),(3,4),(5,6)],7)=>9
[6,7,4,2,1,5,3]=>([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4)],7)=>11
[6,7,4,2,3,1,5]=>([(0,6),(1,6),(2,4),(3,5),(5,6)],7)=>12
[6,7,4,2,5,1,3]=>([(0,6),(1,5),(2,5),(2,6),(3,4)],7)=>13
[6,7,4,3,1,2,5]=>([(0,6),(1,6),(2,4),(3,5),(5,6)],7)=>12
[6,7,4,3,1,5,2]=>([(0,6),(1,6),(2,5),(3,4),(3,6)],7)=>14
[6,7,4,3,2,1,5]=>([(0,6),(1,6),(2,6),(3,6),(4,5)],7)=>16
[6,7,4,3,2,5,1]=>([(1,6),(2,6),(3,6),(4,5)],7)=>18
[6,7,4,3,5,1,2]=>([(0,6),(1,6),(2,5),(3,4)],7)=>16
[6,7,4,3,5,2,1]=>([(2,6),(3,6),(4,5)],7)=>21
[6,7,4,5,2,1,3]=>([(0,6),(1,6),(2,5),(3,4)],7)=>16
[6,7,4,5,3,2,1]=>([(3,6),(4,5)],7)=>25
[6,7,5,1,4,3,2]=>([(1,6),(2,3),(2,4),(2,5)],7)=>18
[6,7,5,2,1,3,4]=>([(1,6),(2,6),(3,4),(6,5)],7)=>11
[6,7,5,2,1,4,3]=>([(1,5),(1,6),(2,5),(2,6),(3,4)],7)=>14
[6,7,5,2,4,3,1]=>([(2,6),(3,4),(3,5)],7)=>21
[6,7,5,3,2,1,4]=>([(1,6),(2,6),(3,6),(4,5)],7)=>18
[6,7,5,3,2,4,1]=>([(2,6),(3,6),(4,5)],7)=>21
[6,7,5,3,4,2,1]=>([(3,6),(4,5)],7)=>25
[6,7,5,4,1,3,2]=>([(2,6),(3,4),(3,5)],7)=>21
[6,7,5,4,2,1,3]=>([(2,6),(3,6),(4,5)],7)=>21
[6,7,5,4,2,3,1]=>([(3,6),(4,5)],7)=>25
[6,7,5,4,3,1,2]=>([(3,6),(4,5)],7)=>25
[6,7,5,4,3,2,1]=>([(5,6)],7)=>30
[7,1,2,3,5,4,6]=>([(1,4),(2,6),(3,6),(4,5),(5,2),(5,3)],7)=>1
[7,1,2,3,6,5,4]=>([(1,5),(5,6),(6,2),(6,3),(6,4)],7)=>4
[7,1,2,6,5,4,3]=>([(1,6),(6,2),(6,3),(6,4),(6,5)],7)=>10
[7,1,3,2,4,6,5]=>([(1,2),(1,3),(2,6),(3,6),(6,4),(6,5)],7)=>2
[7,1,3,2,5,4,6]=>([(1,2),(1,3),(2,5),(2,6),(3,5),(3,6),(5,4),(6,4)],7)=>2
[7,1,3,2,5,6,4]=>([(1,3),(1,4),(3,5),(3,6),(4,5),(4,6),(6,2)],7)=>3
[7,1,3,2,6,4,5]=>([(1,3),(1,4),(3,5),(3,6),(4,5),(4,6),(6,2)],7)=>3
[7,1,3,2,6,5,4]=>([(1,2),(1,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>5
[7,1,3,4,2,5,6]=>([(1,3),(1,5),(2,6),(3,6),(5,2),(6,4)],7)=>2
[7,1,3,6,2,4,5]=>([(1,3),(1,5),(3,6),(5,2),(5,6),(6,4)],7)=>4
[7,1,3,6,2,5,4]=>([(1,3),(1,4),(3,5),(3,6),(4,2),(4,5),(4,6)],7)=>6
[7,1,3,6,5,2,4]=>([(1,4),(1,5),(4,6),(5,2),(5,3),(5,6)],7)=>8
[7,1,3,6,5,4,2]=>([(1,5),(1,6),(6,2),(6,3),(6,4)],7)=>11
[7,1,4,2,3,5,6]=>([(1,3),(1,5),(2,6),(3,6),(5,2),(6,4)],7)=>2
[7,1,4,2,5,6,3]=>([(1,3),(1,5),(3,6),(5,2),(5,6),(6,4)],7)=>4
[7,1,4,2,6,5,3]=>([(1,3),(1,4),(3,5),(3,6),(4,2),(4,5),(4,6)],7)=>6
[7,1,4,3,2,5,6]=>([(1,2),(1,3),(1,4),(2,6),(3,6),(4,6),(6,5)],7)=>4
[7,1,4,3,2,6,5]=>([(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>5
[7,1,4,3,5,2,6]=>([(1,2),(1,3),(1,4),(2,6),(3,5),(4,5),(5,6)],7)=>5
[7,1,4,3,5,6,2]=>([(1,2),(1,3),(1,4),(3,6),(4,6),(6,5)],7)=>6
[7,1,4,3,6,2,5]=>([(1,2),(1,3),(1,4),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>6
[7,1,4,3,6,5,2]=>([(1,2),(1,3),(1,4),(3,5),(3,6),(4,5),(4,6)],7)=>8
[7,1,4,5,3,2,6]=>([(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,2)],7)=>7
[7,1,4,5,3,6,2]=>([(1,2),(1,4),(1,5),(3,6),(4,6),(5,3)],7)=>8
[7,1,4,5,6,3,2]=>([(1,3),(1,4),(1,6),(5,2),(6,5)],7)=>10
[7,1,4,6,2,5,3]=>([(1,4),(1,5),(4,3),(4,6),(5,2),(5,6)],7)=>7
[7,1,4,6,3,2,5]=>([(1,3),(1,4),(1,5),(3,6),(4,6),(5,2),(5,6)],7)=>8
[7,1,4,6,3,5,2]=>([(1,3),(1,4),(1,5),(4,6),(5,2),(5,6)],7)=>10
[7,1,4,6,5,2,3]=>([(1,5),(1,6),(5,4),(6,2),(6,3)],7)=>9
[7,1,4,6,5,3,2]=>([(1,4),(1,5),(1,6),(6,2),(6,3)],7)=>13
[7,1,5,2,6,4,3]=>([(1,4),(1,5),(4,6),(5,2),(5,3),(5,6)],7)=>8
[7,1,5,3,2,4,6]=>([(1,2),(1,3),(1,4),(2,6),(3,5),(4,5),(5,6)],7)=>5
[7,1,5,3,2,6,4]=>([(1,2),(1,3),(1,4),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>6
[7,1,5,3,4,2,6]=>([(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,2)],7)=>7
[7,1,5,3,4,6,2]=>([(1,2),(1,4),(1,5),(3,6),(4,6),(5,3)],7)=>8
[7,1,5,3,6,2,4]=>([(1,2),(1,3),(1,4),(2,6),(3,5),(4,5),(4,6)],7)=>7
[7,1,5,3,6,4,2]=>([(1,3),(1,4),(1,5),(4,6),(5,2),(5,6)],7)=>10
[7,1,5,4,2,3,6]=>([(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,2)],7)=>7
[7,1,5,4,2,6,3]=>([(1,3),(1,4),(1,5),(3,6),(4,6),(5,2),(5,6)],7)=>8
[7,1,5,4,3,2,6]=>([(1,2),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,6)],7)=>10
[7,1,5,4,3,6,2]=>([(1,2),(1,3),(1,4),(1,5),(3,6),(4,6),(5,6)],7)=>11
[7,1,5,4,6,2,3]=>([(1,3),(1,4),(1,5),(3,6),(4,6),(5,2)],7)=>9
[7,1,5,4,6,3,2]=>([(1,2),(1,3),(1,4),(1,5),(4,6),(5,6)],7)=>13
[7,1,5,6,2,4,3]=>([(1,5),(1,6),(5,4),(6,2),(6,3)],7)=>9
[7,1,5,6,3,2,4]=>([(1,3),(1,4),(1,5),(3,6),(4,6),(5,2)],7)=>9
[7,1,5,6,3,4,2]=>([(1,4),(1,5),(1,6),(5,3),(6,2)],7)=>12
[7,1,5,6,4,2,3]=>([(1,4),(1,5),(1,6),(5,3),(6,2)],7)=>12
[7,1,5,6,4,3,2]=>([(1,3),(1,4),(1,5),(1,6),(6,2)],7)=>16
[7,1,6,2,5,4,3]=>([(1,5),(1,6),(6,2),(6,3),(6,4)],7)=>11
[7,1,6,3,2,4,5]=>([(1,2),(1,3),(1,4),(3,6),(4,6),(6,5)],7)=>6
[7,1,6,3,2,5,4]=>([(1,2),(1,3),(1,4),(3,5),(3,6),(4,5),(4,6)],7)=>8
[7,1,6,3,4,2,5]=>([(1,2),(1,4),(1,5),(3,6),(4,6),(5,3)],7)=>8
[7,1,6,3,4,5,2]=>([(1,3),(1,4),(1,6),(5,2),(6,5)],7)=>10
[7,1,6,3,5,2,4]=>([(1,3),(1,4),(1,5),(4,6),(5,2),(5,6)],7)=>10
[7,1,6,3,5,4,2]=>([(1,4),(1,5),(1,6),(6,2),(6,3)],7)=>13
[7,1,6,4,2,3,5]=>([(1,2),(1,4),(1,5),(3,6),(4,6),(5,3)],7)=>8
[7,1,6,4,2,5,3]=>([(1,3),(1,4),(1,5),(4,6),(5,2),(5,6)],7)=>10
[7,1,6,4,3,2,5]=>([(1,2),(1,3),(1,4),(1,5),(3,6),(4,6),(5,6)],7)=>11
[7,1,6,4,3,5,2]=>([(1,2),(1,3),(1,4),(1,5),(4,6),(5,6)],7)=>13
[7,1,6,4,5,2,3]=>([(1,4),(1,5),(1,6),(5,3),(6,2)],7)=>12
[7,1,6,4,5,3,2]=>([(1,3),(1,4),(1,5),(1,6),(6,2)],7)=>16
[7,1,6,5,2,3,4]=>([(1,3),(1,4),(1,6),(5,2),(6,5)],7)=>10
[7,1,6,5,2,4,3]=>([(1,4),(1,5),(1,6),(6,2),(6,3)],7)=>13
[7,1,6,5,3,2,4]=>([(1,2),(1,3),(1,4),(1,5),(4,6),(5,6)],7)=>13
[7,1,6,5,3,4,2]=>([(1,3),(1,4),(1,5),(1,6),(6,2)],7)=>16
[7,1,6,5,4,2,3]=>([(1,3),(1,4),(1,5),(1,6),(6,2)],7)=>16
[7,1,6,5,4,3,2]=>([(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>20
[7,2,1,3,4,5,6]=>([(1,6),(2,6),(3,5),(5,4),(6,3)],7)=>1
[7,2,1,3,4,6,5]=>([(1,6),(2,6),(3,4),(3,5),(6,3)],7)=>2
[7,2,1,3,5,4,6]=>([(1,5),(2,5),(3,6),(4,6),(5,3),(5,4)],7)=>2
[7,2,1,3,5,6,4]=>([(1,6),(2,6),(4,5),(6,3),(6,4)],7)=>3
[7,2,1,3,6,4,5]=>([(1,6),(2,6),(4,5),(6,3),(6,4)],7)=>3
[7,2,1,3,6,5,4]=>([(1,6),(2,6),(6,3),(6,4),(6,5)],7)=>5
[7,2,1,4,3,5,6]=>([(1,4),(1,5),(2,4),(2,5),(4,6),(5,6),(6,3)],7)=>2
[7,2,1,4,3,6,5]=>([(1,5),(1,6),(2,5),(2,6),(5,3),(5,4),(6,3),(6,4)],7)=>3
[7,2,1,4,5,3,6]=>([(1,4),(1,5),(2,4),(2,5),(3,6),(4,6),(5,3)],7)=>3
[7,2,1,4,5,6,3]=>([(1,5),(1,6),(2,5),(2,6),(3,4),(6,3)],7)=>4
[7,2,1,4,6,3,5]=>([(1,4),(1,6),(2,4),(2,6),(4,5),(6,3),(6,5)],7)=>4
[7,2,1,4,6,5,3]=>([(1,5),(1,6),(2,5),(2,6),(6,3),(6,4)],7)=>6
[7,2,1,5,3,4,6]=>([(1,4),(1,5),(2,4),(2,5),(3,6),(4,6),(5,3)],7)=>3
[7,2,1,5,3,6,4]=>([(1,4),(1,6),(2,4),(2,6),(4,5),(6,3),(6,5)],7)=>4
[7,2,1,5,6,3,4]=>([(1,5),(1,6),(2,5),(2,6),(5,4),(6,3)],7)=>5
[7,2,1,6,3,4,5]=>([(1,5),(1,6),(2,5),(2,6),(3,4),(6,3)],7)=>4
[7,2,1,6,3,5,4]=>([(1,5),(1,6),(2,5),(2,6),(6,3),(6,4)],7)=>6
[7,2,3,4,5,1,6]=>([(1,3),(2,6),(3,5),(4,6),(5,4)],7)=>4
[7,2,3,4,6,5,1]=>([(2,5),(5,6),(6,3),(6,4)],7)=>7
[7,2,3,6,5,4,1]=>([(2,6),(6,3),(6,4),(6,5)],7)=>12
[7,2,4,1,3,5,6]=>([(1,5),(2,3),(2,5),(3,6),(5,6),(6,4)],7)=>3
[7,2,4,1,3,6,5]=>([(1,4),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7)=>4
[7,2,4,3,5,6,1]=>([(2,3),(2,4),(3,6),(4,6),(6,5)],7)=>7
[7,2,4,3,6,5,1]=>([(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7)=>9
[7,2,4,5,1,3,6]=>([(1,5),(2,3),(2,5),(3,4),(4,6),(5,6)],7)=>5
[7,2,4,5,3,6,1]=>([(2,3),(2,4),(3,5),(4,6),(5,6)],7)=>9
[7,2,4,5,6,1,3]=>([(1,6),(2,3),(2,6),(3,5),(5,4)],7)=>7
[7,2,4,6,1,3,5]=>([(1,5),(2,3),(2,5),(3,4),(3,6),(5,6)],7)=>6
[7,2,4,6,3,5,1]=>([(2,3),(2,4),(3,6),(4,5),(4,6)],7)=>11
[7,2,4,6,5,1,3]=>([(1,6),(2,3),(2,6),(3,4),(3,5)],7)=>10
[7,2,4,6,5,3,1]=>([(2,5),(2,6),(6,3),(6,4)],7)=>14
[7,2,5,1,3,6,4]=>([(1,5),(2,3),(2,5),(3,6),(5,4),(5,6)],7)=>5
[7,2,5,3,4,6,1]=>([(2,3),(2,4),(3,5),(4,6),(5,6)],7)=>9
[7,2,5,3,6,4,1]=>([(2,3),(2,4),(3,6),(4,5),(4,6)],7)=>11
[7,2,5,4,1,3,6]=>([(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)=>8
[7,2,5,4,3,1,6]=>([(1,6),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)=>11
[7,2,5,4,3,6,1]=>([(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)=>12
[7,2,5,4,6,1,3]=>([(1,5),(2,3),(2,4),(2,5),(3,6),(4,6)],7)=>10
[7,2,5,4,6,3,1]=>([(2,3),(2,4),(2,5),(4,6),(5,6)],7)=>14
[7,2,5,6,1,3,4]=>([(1,6),(2,3),(2,6),(3,5),(6,4)],7)=>7
[7,2,5,6,3,4,1]=>([(2,5),(2,6),(5,4),(6,3)],7)=>13
[7,2,5,6,4,1,3]=>([(1,6),(2,3),(2,4),(2,6),(4,5)],7)=>13
[7,2,5,6,4,3,1]=>([(2,4),(2,5),(2,6),(6,3)],7)=>17
[7,2,6,1,3,5,4]=>([(1,6),(2,3),(2,6),(6,4),(6,5)],7)=>7
[7,2,6,3,5,4,1]=>([(2,5),(2,6),(6,3),(6,4)],7)=>14
[7,2,6,4,1,3,5]=>([(1,5),(2,3),(2,4),(2,5),(4,6),(5,6)],7)=>9
[7,2,6,4,3,1,5]=>([(1,6),(2,3),(2,4),(2,5),(4,6),(5,6)],7)=>12
[7,2,6,4,3,5,1]=>([(2,3),(2,4),(2,5),(4,6),(5,6)],7)=>14
[7,2,6,4,5,1,3]=>([(1,6),(2,3),(2,4),(2,6),(4,5)],7)=>13
[7,2,6,4,5,3,1]=>([(2,4),(2,5),(2,6),(6,3)],7)=>17
[7,2,6,5,1,3,4]=>([(1,6),(2,3),(2,4),(2,6),(6,5)],7)=>11
[7,2,6,5,3,1,4]=>([(1,6),(2,3),(2,4),(2,5),(5,6)],7)=>14
[7,2,6,5,3,4,1]=>([(2,4),(2,5),(2,6),(6,3)],7)=>17
[7,2,6,5,4,1,3]=>([(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>17
[7,2,6,5,4,3,1]=>([(2,3),(2,4),(2,5),(2,6)],7)=>21
[7,3,1,4,2,5,6]=>([(1,5),(2,3),(2,5),(3,6),(5,6),(6,4)],7)=>3
[7,3,1,4,2,6,5]=>([(1,4),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7)=>4
[7,3,1,4,6,2,5]=>([(1,5),(2,3),(2,5),(3,6),(5,4),(5,6)],7)=>5
[7,3,1,4,6,5,2]=>([(1,6),(2,3),(2,6),(6,4),(6,5)],7)=>7
[7,3,2,1,4,5,6]=>([(1,6),(2,6),(3,6),(4,5),(6,4)],7)=>4
[7,3,2,1,4,6,5]=>([(1,6),(2,6),(3,6),(6,4),(6,5)],7)=>5
[7,3,2,1,5,4,6]=>([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(5,4),(6,4)],7)=>5
[7,3,2,1,5,6,4]=>([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(6,4)],7)=>6
[7,3,2,1,6,4,5]=>([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(6,4)],7)=>6
[7,3,2,4,1,5,6]=>([(1,6),(2,5),(3,5),(5,6),(6,4)],7)=>5
[7,3,2,4,1,6,5]=>([(1,4),(2,4),(3,5),(3,6),(4,5),(4,6)],7)=>6
[7,3,2,4,5,1,6]=>([(1,6),(2,5),(3,5),(4,6),(5,4)],7)=>6
[7,3,2,4,5,6,1]=>([(2,6),(3,6),(4,5),(6,4)],7)=>7
[7,3,2,4,6,1,5]=>([(1,6),(2,6),(3,5),(6,4),(6,5)],7)=>7
[7,3,2,4,6,5,1]=>([(2,6),(3,6),(6,4),(6,5)],7)=>9
[7,3,2,5,1,4,6]=>([(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(6,5)],7)=>6
[7,3,2,5,1,6,4]=>([(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5)],7)=>7
[7,3,2,5,4,1,6]=>([(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)=>8
[7,3,2,5,4,6,1]=>([(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)=>9
[7,3,2,5,6,1,4]=>([(1,6),(2,5),(2,6),(3,5),(3,6),(5,4)],7)=>8
[7,3,2,5,6,4,1]=>([(2,5),(2,6),(3,5),(3,6),(6,4)],7)=>11
[7,3,2,6,1,4,5]=>([(1,6),(2,5),(2,6),(3,5),(3,6),(6,4)],7)=>7
[7,3,2,6,4,1,5]=>([(1,6),(2,4),(2,5),(3,4),(3,5),(5,6)],7)=>9
[7,3,2,6,4,5,1]=>([(2,5),(2,6),(3,5),(3,6),(6,4)],7)=>11
[7,3,2,6,5,1,4]=>([(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>11
[7,3,4,2,1,5,6]=>([(1,6),(2,6),(3,4),(4,6),(6,5)],7)=>7
[7,3,4,2,1,6,5]=>([(1,5),(1,6),(2,5),(2,6),(3,4),(4,5),(4,6)],7)=>8
[7,3,4,5,2,1,6]=>([(1,6),(2,6),(3,4),(4,5),(5,6)],7)=>10
[7,3,4,5,6,2,1]=>([(3,4),(4,6),(6,5)],7)=>13
[7,3,4,6,2,1,5]=>([(1,6),(2,6),(3,4),(4,5),(4,6)],7)=>11
[7,3,4,6,5,2,1]=>([(3,4),(4,5),(4,6)],7)=>16
[7,3,5,2,1,4,6]=>([(1,6),(2,6),(3,4),(3,6),(4,5),(6,5)],7)=>8
[7,3,5,2,1,6,4]=>([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(4,6)],7)=>9
[7,3,5,2,4,6,1]=>([(2,5),(3,4),(3,5),(4,6),(5,6)],7)=>11
[7,3,5,4,2,1,6]=>([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7)=>13
[7,3,5,4,6,2,1]=>([(3,4),(3,5),(4,6),(5,6)],7)=>16
[7,3,5,6,2,1,4]=>([(1,6),(2,6),(3,4),(3,6),(4,5)],7)=>12
[7,3,5,6,2,4,1]=>([(2,6),(3,4),(3,6),(4,5)],7)=>15
[7,3,5,6,4,2,1]=>([(3,4),(3,5),(5,6)],7)=>19
[7,3,6,2,1,4,5]=>([(1,6),(2,6),(3,4),(3,6),(6,5)],7)=>9
[7,3,6,2,1,5,4]=>([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>11
[7,3,6,2,4,5,1]=>([(2,6),(3,4),(3,6),(6,5)],7)=>13
[7,3,6,4,2,1,5]=>([(1,6),(2,6),(3,4),(3,5),(5,6)],7)=>14
[7,3,6,4,5,2,1]=>([(3,4),(3,5),(5,6)],7)=>19
[7,3,6,5,2,1,4]=>([(1,6),(2,6),(3,4),(3,5),(3,6)],7)=>16
[7,3,6,5,2,4,1]=>([(2,6),(3,4),(3,5),(3,6)],7)=>19
[7,3,6,5,4,1,2]=>([(1,6),(2,3),(2,4),(2,5)],7)=>18
[7,3,6,5,4,2,1]=>([(3,4),(3,5),(3,6)],7)=>23
[7,4,1,5,2,3,6]=>([(1,5),(2,3),(2,5),(3,4),(4,6),(5,6)],7)=>5
[7,4,1,5,2,6,3]=>([(1,5),(2,3),(2,5),(3,4),(3,6),(5,6)],7)=>6
[7,4,1,5,3,2,6]=>([(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)=>8
[7,4,1,5,3,6,2]=>([(1,5),(2,3),(2,4),(2,5),(4,6),(5,6)],7)=>9
[7,4,1,5,6,2,3]=>([(1,6),(2,3),(2,6),(3,5),(6,4)],7)=>7
[7,4,1,5,6,3,2]=>([(1,6),(2,3),(2,4),(2,6),(6,5)],7)=>11
[7,4,2,1,3,5,6]=>([(1,6),(2,5),(3,5),(5,6),(6,4)],7)=>5
[7,4,2,1,3,6,5]=>([(1,4),(2,4),(3,5),(3,6),(4,5),(4,6)],7)=>6
[7,4,2,1,5,3,6]=>([(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(6,5)],7)=>6
[7,4,2,1,5,6,3]=>([(1,6),(2,5),(2,6),(3,5),(3,6),(6,4)],7)=>7
[7,4,2,1,6,3,5]=>([(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5)],7)=>7
[7,4,2,3,1,5,6]=>([(1,6),(2,6),(3,4),(4,6),(6,5)],7)=>7
[7,4,2,3,1,6,5]=>([(1,5),(1,6),(2,5),(2,6),(3,4),(4,5),(4,6)],7)=>8
[7,4,2,5,1,3,6]=>([(1,5),(2,4),(3,4),(3,5),(4,6),(5,6)],7)=>7
[7,4,2,5,3,6,1]=>([(2,5),(3,4),(3,5),(4,6),(5,6)],7)=>11
[7,4,2,5,6,1,3]=>([(1,6),(2,5),(3,5),(3,6),(6,4)],7)=>9
[7,4,2,5,6,3,1]=>([(2,6),(3,4),(3,6),(6,5)],7)=>13
[7,4,2,6,5,1,3]=>([(1,6),(2,4),(2,5),(3,4),(3,5),(3,6)],7)=>12
[7,4,3,1,2,5,6]=>([(1,6),(2,6),(3,4),(4,6),(6,5)],7)=>7
[7,4,3,1,2,6,5]=>([(1,5),(1,6),(2,5),(2,6),(3,4),(4,5),(4,6)],7)=>8
[7,4,3,1,5,2,6]=>([(1,6),(2,6),(3,4),(3,6),(4,5),(6,5)],7)=>8
[7,4,3,1,5,6,2]=>([(1,6),(2,6),(3,4),(3,6),(6,5)],7)=>9
[7,4,3,1,6,2,5]=>([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(4,6)],7)=>9
[7,4,3,1,6,5,2]=>([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>11
[7,4,3,2,1,5,6]=>([(1,6),(2,6),(3,6),(4,6),(6,5)],7)=>10
[7,4,3,2,1,6,5]=>([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>11
[7,4,3,2,5,1,6]=>([(1,6),(2,6),(3,6),(4,5),(6,5)],7)=>11
[7,4,3,2,5,6,1]=>([(2,6),(3,6),(4,6),(6,5)],7)=>12
[7,4,3,2,6,1,5]=>([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>12
[7,4,3,2,6,5,1]=>([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>14
[7,4,3,5,1,2,6]=>([(1,5),(2,5),(3,4),(4,6),(5,6)],7)=>9
[7,4,3,5,1,6,2]=>([(1,5),(2,5),(3,4),(3,6),(5,6)],7)=>10
[7,4,3,5,2,1,6]=>([(1,6),(2,6),(3,5),(4,5),(5,6)],7)=>13
[7,4,3,5,2,6,1]=>([(2,6),(3,5),(4,5),(5,6)],7)=>14
[7,4,3,5,6,1,2]=>([(1,6),(2,6),(3,4),(6,5)],7)=>11
[7,4,3,5,6,2,1]=>([(3,6),(4,6),(6,5)],7)=>16
[7,4,3,6,1,2,5]=>([(1,5),(1,6),(2,5),(2,6),(3,4),(4,6)],7)=>10
[7,4,3,6,1,5,2]=>([(1,5),(1,6),(2,5),(2,6),(3,4),(3,6)],7)=>12
[7,4,3,6,2,1,5]=>([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>14
[7,4,3,6,2,5,1]=>([(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>16
[7,4,3,6,5,1,2]=>([(1,5),(1,6),(2,5),(2,6),(3,4)],7)=>14
[7,4,3,6,5,2,1]=>([(3,5),(3,6),(4,5),(4,6)],7)=>19
[7,4,5,2,1,3,6]=>([(1,5),(2,5),(3,4),(4,6),(5,6)],7)=>9
[7,4,5,2,1,6,3]=>([(1,5),(1,6),(2,5),(2,6),(3,4),(4,6)],7)=>10
[7,4,5,3,2,1,6]=>([(1,6),(2,6),(3,6),(4,5),(5,6)],7)=>16
[7,4,5,3,2,6,1]=>([(2,6),(3,6),(4,5),(5,6)],7)=>17
[7,4,5,6,2,1,3]=>([(1,6),(2,6),(3,4),(4,5)],7)=>13
[7,4,5,6,3,2,1]=>([(4,5),(5,6)],7)=>22
[7,4,6,2,1,3,5]=>([(1,5),(2,5),(3,4),(3,6),(5,6)],7)=>10
[7,4,6,2,1,5,3]=>([(1,5),(1,6),(2,5),(2,6),(3,4),(3,6)],7)=>12
[7,4,6,3,2,1,5]=>([(1,6),(2,6),(3,6),(4,5),(4,6)],7)=>17
[7,4,6,3,2,5,1]=>([(2,6),(3,6),(4,5),(4,6)],7)=>19
[7,4,6,3,5,2,1]=>([(3,6),(4,5),(4,6)],7)=>22
[7,4,6,5,2,1,3]=>([(1,6),(2,6),(3,4),(3,5)],7)=>17
[7,4,6,5,2,3,1]=>([(2,6),(3,4),(3,5)],7)=>21
[7,4,6,5,3,1,2]=>([(2,6),(3,4),(3,5)],7)=>21
[7,4,6,5,3,2,1]=>([(4,5),(4,6)],7)=>26
[7,5,1,2,3,4,6]=>([(1,3),(2,6),(3,5),(4,6),(5,4)],7)=>4
[7,5,1,4,3,2,6]=>([(1,6),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)=>11
[7,5,1,4,3,6,2]=>([(1,6),(2,3),(2,4),(2,5),(4,6),(5,6)],7)=>12
[7,5,1,4,6,3,2]=>([(1,6),(2,3),(2,4),(2,5),(5,6)],7)=>14
[7,5,1,6,2,3,4]=>([(1,6),(2,3),(2,6),(3,5),(5,4)],7)=>7
[7,5,1,6,2,4,3]=>([(1,6),(2,3),(2,6),(3,4),(3,5)],7)=>10
[7,5,1,6,3,2,4]=>([(1,5),(2,3),(2,4),(2,5),(3,6),(4,6)],7)=>10
[7,5,1,6,3,4,2]=>([(1,6),(2,3),(2,4),(2,6),(4,5)],7)=>13
[7,5,1,6,4,2,3]=>([(1,6),(2,3),(2,4),(2,6),(4,5)],7)=>13
[7,5,1,6,4,3,2]=>([(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>17
[7,5,2,1,3,4,6]=>([(1,6),(2,5),(3,5),(4,6),(5,4)],7)=>6
[7,5,2,1,3,6,4]=>([(1,6),(2,6),(3,5),(6,4),(6,5)],7)=>7
[7,5,2,1,4,3,6]=>([(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)=>8
[7,5,2,1,4,6,3]=>([(1,6),(2,4),(2,5),(3,4),(3,5),(5,6)],7)=>9
[7,5,2,1,6,3,4]=>([(1,6),(2,5),(2,6),(3,5),(3,6),(5,4)],7)=>8
[7,5,2,1,6,4,3]=>([(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>11
[7,5,2,3,4,1,6]=>([(1,6),(2,6),(3,4),(4,5),(5,6)],7)=>10
[7,5,2,4,3,1,6]=>([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7)=>13
[7,5,2,6,1,3,4]=>([(1,6),(2,5),(3,5),(3,6),(6,4)],7)=>9
[7,5,2,6,1,4,3]=>([(1,6),(2,4),(2,5),(3,4),(3,5),(3,6)],7)=>12
[7,5,2,6,3,4,1]=>([(2,6),(3,4),(3,6),(4,5)],7)=>15
[7,5,2,6,4,3,1]=>([(2,6),(3,4),(3,5),(3,6)],7)=>19
[7,5,3,2,1,4,6]=>([(1,6),(2,6),(3,6),(4,5),(6,5)],7)=>11
[7,5,3,2,1,6,4]=>([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>12
[7,5,3,2,4,1,6]=>([(1,6),(2,6),(3,5),(4,5),(5,6)],7)=>13
[7,5,3,2,4,6,1]=>([(2,6),(3,5),(4,5),(5,6)],7)=>14
[7,5,3,2,6,1,4]=>([(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)=>13
[7,5,3,2,6,4,1]=>([(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>16
[7,5,3,4,2,1,6]=>([(1,6),(2,6),(3,6),(4,5),(5,6)],7)=>16
[7,5,3,4,2,6,1]=>([(2,6),(3,6),(4,5),(5,6)],7)=>17
[7,5,3,6,2,1,4]=>([(1,6),(2,6),(3,5),(4,5),(4,6)],7)=>15
[7,5,3,6,2,4,1]=>([(2,6),(3,5),(4,5),(4,6)],7)=>18
[7,5,3,6,4,2,1]=>([(3,6),(4,5),(4,6)],7)=>22
[7,5,4,1,2,3,6]=>([(1,6),(2,6),(3,4),(4,5),(5,6)],7)=>10
[7,5,4,1,2,6,3]=>([(1,6),(2,6),(3,4),(4,5),(4,6)],7)=>11
[7,5,4,1,3,2,6]=>([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7)=>13
[7,5,4,1,3,6,2]=>([(1,6),(2,6),(3,4),(3,5),(5,6)],7)=>14
[7,5,4,1,6,2,3]=>([(1,6),(2,6),(3,4),(3,6),(4,5)],7)=>12
[7,5,4,1,6,3,2]=>([(1,6),(2,6),(3,4),(3,5),(3,6)],7)=>16
[7,5,4,2,1,3,6]=>([(1,6),(2,6),(3,5),(4,5),(5,6)],7)=>13
[7,5,4,2,1,6,3]=>([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>14
[7,5,4,2,3,1,6]=>([(1,6),(2,6),(3,6),(4,5),(5,6)],7)=>16
[7,5,4,2,3,6,1]=>([(2,6),(3,6),(4,5),(5,6)],7)=>17
[7,5,4,2,6,1,3]=>([(1,6),(2,6),(3,5),(4,5),(4,6)],7)=>15
[7,5,4,2,6,3,1]=>([(2,6),(3,6),(4,5),(4,6)],7)=>19
[7,5,4,3,1,2,6]=>([(1,6),(2,6),(3,6),(4,5),(5,6)],7)=>16
[7,5,4,3,1,6,2]=>([(1,6),(2,6),(3,6),(4,5),(4,6)],7)=>17
[7,5,4,3,2,1,6]=>([(1,6),(2,6),(3,6),(4,6),(5,6)],7)=>20
[7,5,4,3,2,6,1]=>([(2,6),(3,6),(4,6),(5,6)],7)=>21
[7,5,4,3,6,1,2]=>([(1,6),(2,6),(3,6),(4,5)],7)=>18
[7,5,4,3,6,2,1]=>([(3,6),(4,6),(5,6)],7)=>23
[7,5,4,6,1,2,3]=>([(1,6),(2,6),(3,4),(4,5)],7)=>13
[7,5,4,6,1,3,2]=>([(1,6),(2,6),(3,4),(3,5)],7)=>17
[7,5,4,6,2,1,3]=>([(1,6),(2,6),(3,5),(4,5)],7)=>17
[7,5,4,6,2,3,1]=>([(2,6),(3,6),(4,5)],7)=>21
[7,5,4,6,3,1,2]=>([(2,6),(3,6),(4,5)],7)=>21
[7,5,4,6,3,2,1]=>([(4,6),(5,6)],7)=>26
[7,5,6,1,4,3,2]=>([(1,6),(2,3),(2,4),(2,5)],7)=>18
[7,5,6,2,1,3,4]=>([(1,6),(2,6),(3,4),(6,5)],7)=>11
[7,5,6,2,1,4,3]=>([(1,5),(1,6),(2,5),(2,6),(3,4)],7)=>14
[7,5,6,2,4,3,1]=>([(2,6),(3,4),(3,5)],7)=>21
[7,5,6,3,2,1,4]=>([(1,6),(2,6),(3,6),(4,5)],7)=>18
[7,5,6,3,2,4,1]=>([(2,6),(3,6),(4,5)],7)=>21
[7,5,6,3,4,2,1]=>([(3,6),(4,5)],7)=>25
[7,5,6,4,1,3,2]=>([(2,6),(3,4),(3,5)],7)=>21
[7,5,6,4,2,1,3]=>([(2,6),(3,6),(4,5)],7)=>21
[7,5,6,4,2,3,1]=>([(3,6),(4,5)],7)=>25
[7,5,6,4,3,1,2]=>([(3,6),(4,5)],7)=>25
[7,5,6,4,3,2,1]=>([(5,6)],7)=>30
[7,6,1,2,3,5,4]=>([(2,5),(5,6),(6,3),(6,4)],7)=>7
[7,6,1,2,5,4,3]=>([(2,6),(6,3),(6,4),(6,5)],7)=>12
[7,6,1,3,2,4,5]=>([(2,3),(2,4),(3,6),(4,6),(6,5)],7)=>7
[7,6,1,3,2,5,4]=>([(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7)=>9
[7,6,1,3,4,2,5]=>([(2,3),(2,4),(3,5),(4,6),(5,6)],7)=>9
[7,6,1,3,5,2,4]=>([(2,3),(2,4),(3,6),(4,5),(4,6)],7)=>11
[7,6,1,3,5,4,2]=>([(2,5),(2,6),(6,3),(6,4)],7)=>14
[7,6,1,4,2,3,5]=>([(2,3),(2,4),(3,5),(4,6),(5,6)],7)=>9
[7,6,1,4,2,5,3]=>([(2,3),(2,4),(3,6),(4,5),(4,6)],7)=>11
[7,6,1,4,3,2,5]=>([(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)=>12
[7,6,1,4,3,5,2]=>([(2,3),(2,4),(2,5),(4,6),(5,6)],7)=>14
[7,6,1,4,5,2,3]=>([(2,5),(2,6),(5,4),(6,3)],7)=>13
[7,6,1,4,5,3,2]=>([(2,4),(2,5),(2,6),(6,3)],7)=>17
[7,6,1,5,2,4,3]=>([(2,5),(2,6),(6,3),(6,4)],7)=>14
[7,6,1,5,3,2,4]=>([(2,3),(2,4),(2,5),(4,6),(5,6)],7)=>14
[7,6,1,5,3,4,2]=>([(2,4),(2,5),(2,6),(6,3)],7)=>17
[7,6,1,5,4,2,3]=>([(2,4),(2,5),(2,6),(6,3)],7)=>17
[7,6,1,5,4,3,2]=>([(2,3),(2,4),(2,5),(2,6)],7)=>21
[7,6,2,1,3,4,5]=>([(2,6),(3,6),(4,5),(6,4)],7)=>7
[7,6,2,1,3,5,4]=>([(2,6),(3,6),(6,4),(6,5)],7)=>9
[7,6,2,1,4,3,5]=>([(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)=>9
[7,6,2,1,4,5,3]=>([(2,5),(2,6),(3,5),(3,6),(6,4)],7)=>11
[7,6,2,1,5,3,4]=>([(2,5),(2,6),(3,5),(3,6),(6,4)],7)=>11
[7,6,2,3,4,5,1]=>([(3,4),(4,6),(6,5)],7)=>13
[7,6,2,3,5,4,1]=>([(3,4),(4,5),(4,6)],7)=>16
[7,6,2,4,1,3,5]=>([(2,5),(3,4),(3,5),(4,6),(5,6)],7)=>11
[7,6,2,4,3,5,1]=>([(3,4),(3,5),(4,6),(5,6)],7)=>16
[7,6,2,4,5,1,3]=>([(2,6),(3,4),(3,6),(4,5)],7)=>15
[7,6,2,4,5,3,1]=>([(3,4),(3,5),(5,6)],7)=>19
[7,6,2,5,1,3,4]=>([(2,6),(3,4),(3,6),(6,5)],7)=>13
[7,6,2,5,3,4,1]=>([(3,4),(3,5),(5,6)],7)=>19
[7,6,2,5,4,1,3]=>([(2,6),(3,4),(3,5),(3,6)],7)=>19
[7,6,2,5,4,3,1]=>([(3,4),(3,5),(3,6)],7)=>23
[7,6,3,1,4,2,5]=>([(2,5),(3,4),(3,5),(4,6),(5,6)],7)=>11
[7,6,3,1,4,5,2]=>([(2,6),(3,4),(3,6),(6,5)],7)=>13
[7,6,3,2,1,4,5]=>([(2,6),(3,6),(4,6),(6,5)],7)=>12
[7,6,3,2,1,5,4]=>([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>14
[7,6,3,2,4,1,5]=>([(2,6),(3,5),(4,5),(5,6)],7)=>14
[7,6,3,2,4,5,1]=>([(3,6),(4,6),(6,5)],7)=>16
[7,6,3,2,5,1,4]=>([(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>16
[7,6,3,2,5,4,1]=>([(3,5),(3,6),(4,5),(4,6)],7)=>19
[7,6,3,4,2,1,5]=>([(2,6),(3,6),(4,5),(5,6)],7)=>17
[7,6,3,4,5,2,1]=>([(4,5),(5,6)],7)=>22
[7,6,3,5,2,1,4]=>([(2,6),(3,6),(4,5),(4,6)],7)=>19
[7,6,3,5,2,4,1]=>([(3,6),(4,5),(4,6)],7)=>22
[7,6,3,5,4,1,2]=>([(2,6),(3,4),(3,5)],7)=>21
[7,6,3,5,4,2,1]=>([(4,5),(4,6)],7)=>26
[7,6,4,1,5,2,3]=>([(2,6),(3,4),(3,6),(4,5)],7)=>15
[7,6,4,1,5,3,2]=>([(2,6),(3,4),(3,5),(3,6)],7)=>19
[7,6,4,2,1,3,5]=>([(2,6),(3,5),(4,5),(5,6)],7)=>14
[7,6,4,2,1,5,3]=>([(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>16
[7,6,4,2,3,1,5]=>([(2,6),(3,6),(4,5),(5,6)],7)=>17
[7,6,4,2,5,1,3]=>([(2,6),(3,5),(4,5),(4,6)],7)=>18
[7,6,4,2,5,3,1]=>([(3,6),(4,5),(4,6)],7)=>22
[7,6,4,3,1,2,5]=>([(2,6),(3,6),(4,5),(5,6)],7)=>17
[7,6,4,3,1,5,2]=>([(2,6),(3,6),(4,5),(4,6)],7)=>19
[7,6,4,3,2,1,5]=>([(2,6),(3,6),(4,6),(5,6)],7)=>21
[7,6,4,3,2,5,1]=>([(3,6),(4,6),(5,6)],7)=>23
[7,6,4,3,5,1,2]=>([(2,6),(3,6),(4,5)],7)=>21
[7,6,4,3,5,2,1]=>([(4,6),(5,6)],7)=>26
[7,6,4,5,1,3,2]=>([(2,6),(3,4),(3,5)],7)=>21
[7,6,4,5,2,1,3]=>([(2,6),(3,6),(4,5)],7)=>21
[7,6,4,5,2,3,1]=>([(3,6),(4,5)],7)=>25
[7,6,4,5,3,1,2]=>([(3,6),(4,5)],7)=>25
[7,6,4,5,3,2,1]=>([(5,6)],7)=>30
[7,6,5,1,2,3,4]=>([(3,4),(4,6),(6,5)],7)=>13
[7,6,5,1,2,4,3]=>([(3,4),(4,5),(4,6)],7)=>16
[7,6,5,1,3,2,4]=>([(3,4),(3,5),(4,6),(5,6)],7)=>16
[7,6,5,1,3,4,2]=>([(3,4),(3,5),(5,6)],7)=>19
[7,6,5,1,4,2,3]=>([(3,4),(3,5),(5,6)],7)=>19
[7,6,5,1,4,3,2]=>([(3,4),(3,5),(3,6)],7)=>23
[7,6,5,2,1,3,4]=>([(3,6),(4,6),(6,5)],7)=>16
[7,6,5,2,1,4,3]=>([(3,5),(3,6),(4,5),(4,6)],7)=>19
[7,6,5,2,3,4,1]=>([(4,5),(5,6)],7)=>22
[7,6,5,2,4,1,3]=>([(3,6),(4,5),(4,6)],7)=>22
[7,6,5,2,4,3,1]=>([(4,5),(4,6)],7)=>26
[7,6,5,3,1,4,2]=>([(3,6),(4,5),(4,6)],7)=>22
[7,6,5,3,2,1,4]=>([(3,6),(4,6),(5,6)],7)=>23
[7,6,5,3,2,4,1]=>([(4,6),(5,6)],7)=>26
[7,6,5,3,4,1,2]=>([(3,6),(4,5)],7)=>25
[7,6,5,3,4,2,1]=>([(5,6)],7)=>30
[7,6,5,4,1,2,3]=>([(4,5),(5,6)],7)=>22
[7,6,5,4,1,3,2]=>([(4,5),(4,6)],7)=>26
[7,6,5,4,2,1,3]=>([(4,6),(5,6)],7)=>26
[7,6,5,4,2,3,1]=>([(5,6)],7)=>30
[7,6,5,4,3,1,2]=>([(5,6)],7)=>30
[7,6,5,4,3,2,1]=>([],7)=>35
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Description
Number of triples of incomparable elements in a finite poset.
For a finite poset this is the number of 3-element sets $S \in \binom{P}{3}$ that are pairwise incomparable.
For a finite poset this is the number of 3-element sets $S \in \binom{P}{3}$ that are pairwise incomparable.
Map
permutation poset
Description
Sends a permutation to its permutation poset.
For a permutation $\pi$ of length $n$, this poset has vertices
$$\{ (i,\pi(i))\ :\ 1 \leq i \leq n \}$$
and the cover relation is given by $(w, x) \leq (y, z)$ if $w \leq y$ and $x \leq z$.
For example, the permutation $[3,1,5,4,2]$ is mapped to the poset with cover relations
$$\{ (2, 1) \prec (5, 2),\ (2, 1) \prec (4, 4),\ (2, 1) \prec (3, 5),\ (1, 3) \prec (4, 4),\ (1, 3) \prec (3, 5) \}.$$
For a permutation $\pi$ of length $n$, this poset has vertices
$$\{ (i,\pi(i))\ :\ 1 \leq i \leq n \}$$
and the cover relation is given by $(w, x) \leq (y, z)$ if $w \leq y$ and $x \leq z$.
For example, the permutation $[3,1,5,4,2]$ is mapped to the poset with cover relations
$$\{ (2, 1) \prec (5, 2),\ (2, 1) \prec (4, 4),\ (2, 1) \prec (3, 5),\ (1, 3) \prec (4, 4),\ (1, 3) \prec (3, 5) \}.$$
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