Identifier
-
Mp00223:
Permutations
—runsort⟶
Permutations
Mp00061: Permutations —to increasing tree⟶ Binary trees
Mp00011: Binary trees —to graph⟶ Graphs
St000454: Graphs ⟶ ℤ
Values
=>
Cc0010;cc-rep-2
Cc0020;cc-rep
[1]=>[1]=>[.,.]=>([],1)=>0
[1,2]=>[1,2]=>[.,[.,.]]=>([(0,1)],2)=>1
[2,1]=>[1,2]=>[.,[.,.]]=>([(0,1)],2)=>1
[1,3,2,5,4,6]=>[1,3,2,5,4,6]=>[.,[[.,.],[[.,.],[.,.]]]]=>([(0,5),(1,5),(2,4),(3,4),(4,5)],6)=>2
[1,3,2,6,4,5]=>[1,3,2,6,4,5]=>[.,[[.,.],[[.,.],[.,.]]]]=>([(0,5),(1,5),(2,4),(3,4),(4,5)],6)=>2
[1,3,2,6,5,4]=>[1,3,2,6,4,5]=>[.,[[.,.],[[.,.],[.,.]]]]=>([(0,5),(1,5),(2,4),(3,4),(4,5)],6)=>2
[1,4,2,5,3,6]=>[1,4,2,5,3,6]=>[.,[[.,.],[[.,.],[.,.]]]]=>([(0,5),(1,5),(2,4),(3,4),(4,5)],6)=>2
[1,4,2,6,3,5]=>[1,4,2,6,3,5]=>[.,[[.,.],[[.,.],[.,.]]]]=>([(0,5),(1,5),(2,4),(3,4),(4,5)],6)=>2
[1,4,2,6,5,3]=>[1,4,2,6,3,5]=>[.,[[.,.],[[.,.],[.,.]]]]=>([(0,5),(1,5),(2,4),(3,4),(4,5)],6)=>2
[1,4,3,2,6,5]=>[1,4,2,6,3,5]=>[.,[[.,.],[[.,.],[.,.]]]]=>([(0,5),(1,5),(2,4),(3,4),(4,5)],6)=>2
[1,4,3,5,2,6]=>[1,4,2,6,3,5]=>[.,[[.,.],[[.,.],[.,.]]]]=>([(0,5),(1,5),(2,4),(3,4),(4,5)],6)=>2
[1,4,3,6,2,5]=>[1,4,2,5,3,6]=>[.,[[.,.],[[.,.],[.,.]]]]=>([(0,5),(1,5),(2,4),(3,4),(4,5)],6)=>2
[1,5,2,4,3,6]=>[1,5,2,4,3,6]=>[.,[[.,.],[[.,.],[.,.]]]]=>([(0,5),(1,5),(2,4),(3,4),(4,5)],6)=>2
[1,5,2,6,3,4]=>[1,5,2,6,3,4]=>[.,[[.,.],[[.,.],[.,.]]]]=>([(0,5),(1,5),(2,4),(3,4),(4,5)],6)=>2
[1,5,2,6,4,3]=>[1,5,2,6,3,4]=>[.,[[.,.],[[.,.],[.,.]]]]=>([(0,5),(1,5),(2,4),(3,4),(4,5)],6)=>2
[1,5,3,2,6,4]=>[1,5,2,6,3,4]=>[.,[[.,.],[[.,.],[.,.]]]]=>([(0,5),(1,5),(2,4),(3,4),(4,5)],6)=>2
[1,5,3,4,2,6]=>[1,5,2,6,3,4]=>[.,[[.,.],[[.,.],[.,.]]]]=>([(0,5),(1,5),(2,4),(3,4),(4,5)],6)=>2
[1,5,3,6,2,4]=>[1,5,2,4,3,6]=>[.,[[.,.],[[.,.],[.,.]]]]=>([(0,5),(1,5),(2,4),(3,4),(4,5)],6)=>2
[1,5,4,2,6,3]=>[1,5,2,6,3,4]=>[.,[[.,.],[[.,.],[.,.]]]]=>([(0,5),(1,5),(2,4),(3,4),(4,5)],6)=>2
[1,5,4,3,2,6]=>[1,5,2,6,3,4]=>[.,[[.,.],[[.,.],[.,.]]]]=>([(0,5),(1,5),(2,4),(3,4),(4,5)],6)=>2
[1,6,2,4,3,5]=>[1,6,2,4,3,5]=>[.,[[.,.],[[.,.],[.,.]]]]=>([(0,5),(1,5),(2,4),(3,4),(4,5)],6)=>2
[1,6,2,5,3,4]=>[1,6,2,5,3,4]=>[.,[[.,.],[[.,.],[.,.]]]]=>([(0,5),(1,5),(2,4),(3,4),(4,5)],6)=>2
[1,6,2,5,4,3]=>[1,6,2,5,3,4]=>[.,[[.,.],[[.,.],[.,.]]]]=>([(0,5),(1,5),(2,4),(3,4),(4,5)],6)=>2
[1,6,3,2,5,4]=>[1,6,2,5,3,4]=>[.,[[.,.],[[.,.],[.,.]]]]=>([(0,5),(1,5),(2,4),(3,4),(4,5)],6)=>2
[1,6,3,4,2,5]=>[1,6,2,5,3,4]=>[.,[[.,.],[[.,.],[.,.]]]]=>([(0,5),(1,5),(2,4),(3,4),(4,5)],6)=>2
[1,6,3,5,2,4]=>[1,6,2,4,3,5]=>[.,[[.,.],[[.,.],[.,.]]]]=>([(0,5),(1,5),(2,4),(3,4),(4,5)],6)=>2
[1,6,4,2,5,3]=>[1,6,2,5,3,4]=>[.,[[.,.],[[.,.],[.,.]]]]=>([(0,5),(1,5),(2,4),(3,4),(4,5)],6)=>2
[1,6,4,3,2,5]=>[1,6,2,5,3,4]=>[.,[[.,.],[[.,.],[.,.]]]]=>([(0,5),(1,5),(2,4),(3,4),(4,5)],6)=>2
[1,6,5,2,4,3]=>[1,6,2,4,3,5]=>[.,[[.,.],[[.,.],[.,.]]]]=>([(0,5),(1,5),(2,4),(3,4),(4,5)],6)=>2
[1,6,5,3,2,4]=>[1,6,2,4,3,5]=>[.,[[.,.],[[.,.],[.,.]]]]=>([(0,5),(1,5),(2,4),(3,4),(4,5)],6)=>2
[2,4,1,5,3,6]=>[1,5,2,4,3,6]=>[.,[[.,.],[[.,.],[.,.]]]]=>([(0,5),(1,5),(2,4),(3,4),(4,5)],6)=>2
[2,4,1,6,3,5]=>[1,6,2,4,3,5]=>[.,[[.,.],[[.,.],[.,.]]]]=>([(0,5),(1,5),(2,4),(3,4),(4,5)],6)=>2
[2,4,1,6,5,3]=>[1,6,2,4,3,5]=>[.,[[.,.],[[.,.],[.,.]]]]=>([(0,5),(1,5),(2,4),(3,4),(4,5)],6)=>2
[2,4,3,1,6,5]=>[1,6,2,4,3,5]=>[.,[[.,.],[[.,.],[.,.]]]]=>([(0,5),(1,5),(2,4),(3,4),(4,5)],6)=>2
[2,4,3,5,1,6]=>[1,6,2,4,3,5]=>[.,[[.,.],[[.,.],[.,.]]]]=>([(0,5),(1,5),(2,4),(3,4),(4,5)],6)=>2
[2,4,3,6,1,5]=>[1,5,2,4,3,6]=>[.,[[.,.],[[.,.],[.,.]]]]=>([(0,5),(1,5),(2,4),(3,4),(4,5)],6)=>2
[2,5,1,4,3,6]=>[1,4,2,5,3,6]=>[.,[[.,.],[[.,.],[.,.]]]]=>([(0,5),(1,5),(2,4),(3,4),(4,5)],6)=>2
[2,5,1,6,3,4]=>[1,6,2,5,3,4]=>[.,[[.,.],[[.,.],[.,.]]]]=>([(0,5),(1,5),(2,4),(3,4),(4,5)],6)=>2
[2,5,1,6,4,3]=>[1,6,2,5,3,4]=>[.,[[.,.],[[.,.],[.,.]]]]=>([(0,5),(1,5),(2,4),(3,4),(4,5)],6)=>2
[2,5,3,1,6,4]=>[1,6,2,5,3,4]=>[.,[[.,.],[[.,.],[.,.]]]]=>([(0,5),(1,5),(2,4),(3,4),(4,5)],6)=>2
[2,5,3,4,1,6]=>[1,6,2,5,3,4]=>[.,[[.,.],[[.,.],[.,.]]]]=>([(0,5),(1,5),(2,4),(3,4),(4,5)],6)=>2
[2,5,3,6,1,4]=>[1,4,2,5,3,6]=>[.,[[.,.],[[.,.],[.,.]]]]=>([(0,5),(1,5),(2,4),(3,4),(4,5)],6)=>2
[2,5,4,1,6,3]=>[1,6,2,5,3,4]=>[.,[[.,.],[[.,.],[.,.]]]]=>([(0,5),(1,5),(2,4),(3,4),(4,5)],6)=>2
[2,5,4,3,1,6]=>[1,6,2,5,3,4]=>[.,[[.,.],[[.,.],[.,.]]]]=>([(0,5),(1,5),(2,4),(3,4),(4,5)],6)=>2
[2,5,4,6,1,3]=>[1,3,2,5,4,6]=>[.,[[.,.],[[.,.],[.,.]]]]=>([(0,5),(1,5),(2,4),(3,4),(4,5)],6)=>2
[2,6,1,4,3,5]=>[1,4,2,6,3,5]=>[.,[[.,.],[[.,.],[.,.]]]]=>([(0,5),(1,5),(2,4),(3,4),(4,5)],6)=>2
[2,6,1,5,3,4]=>[1,5,2,6,3,4]=>[.,[[.,.],[[.,.],[.,.]]]]=>([(0,5),(1,5),(2,4),(3,4),(4,5)],6)=>2
[2,6,1,5,4,3]=>[1,5,2,6,3,4]=>[.,[[.,.],[[.,.],[.,.]]]]=>([(0,5),(1,5),(2,4),(3,4),(4,5)],6)=>2
[2,6,3,1,5,4]=>[1,5,2,6,3,4]=>[.,[[.,.],[[.,.],[.,.]]]]=>([(0,5),(1,5),(2,4),(3,4),(4,5)],6)=>2
[2,6,3,4,1,5]=>[1,5,2,6,3,4]=>[.,[[.,.],[[.,.],[.,.]]]]=>([(0,5),(1,5),(2,4),(3,4),(4,5)],6)=>2
[2,6,3,5,1,4]=>[1,4,2,6,3,5]=>[.,[[.,.],[[.,.],[.,.]]]]=>([(0,5),(1,5),(2,4),(3,4),(4,5)],6)=>2
[2,6,4,1,5,3]=>[1,5,2,6,3,4]=>[.,[[.,.],[[.,.],[.,.]]]]=>([(0,5),(1,5),(2,4),(3,4),(4,5)],6)=>2
[2,6,4,3,1,5]=>[1,5,2,6,3,4]=>[.,[[.,.],[[.,.],[.,.]]]]=>([(0,5),(1,5),(2,4),(3,4),(4,5)],6)=>2
[2,6,4,5,1,3]=>[1,3,2,6,4,5]=>[.,[[.,.],[[.,.],[.,.]]]]=>([(0,5),(1,5),(2,4),(3,4),(4,5)],6)=>2
[2,6,5,1,4,3]=>[1,4,2,6,3,5]=>[.,[[.,.],[[.,.],[.,.]]]]=>([(0,5),(1,5),(2,4),(3,4),(4,5)],6)=>2
[2,6,5,3,1,4]=>[1,4,2,6,3,5]=>[.,[[.,.],[[.,.],[.,.]]]]=>([(0,5),(1,5),(2,4),(3,4),(4,5)],6)=>2
[2,6,5,4,1,3]=>[1,3,2,6,4,5]=>[.,[[.,.],[[.,.],[.,.]]]]=>([(0,5),(1,5),(2,4),(3,4),(4,5)],6)=>2
[3,1,4,2,6,5]=>[1,4,2,6,3,5]=>[.,[[.,.],[[.,.],[.,.]]]]=>([(0,5),(1,5),(2,4),(3,4),(4,5)],6)=>2
[3,1,5,2,6,4]=>[1,5,2,6,3,4]=>[.,[[.,.],[[.,.],[.,.]]]]=>([(0,5),(1,5),(2,4),(3,4),(4,5)],6)=>2
[3,1,5,4,2,6]=>[1,5,2,6,3,4]=>[.,[[.,.],[[.,.],[.,.]]]]=>([(0,5),(1,5),(2,4),(3,4),(4,5)],6)=>2
[3,1,6,2,5,4]=>[1,6,2,5,3,4]=>[.,[[.,.],[[.,.],[.,.]]]]=>([(0,5),(1,5),(2,4),(3,4),(4,5)],6)=>2
[3,1,6,4,2,5]=>[1,6,2,5,3,4]=>[.,[[.,.],[[.,.],[.,.]]]]=>([(0,5),(1,5),(2,4),(3,4),(4,5)],6)=>2
[3,1,6,5,2,4]=>[1,6,2,4,3,5]=>[.,[[.,.],[[.,.],[.,.]]]]=>([(0,5),(1,5),(2,4),(3,4),(4,5)],6)=>2
[3,2,4,1,6,5]=>[1,6,2,4,3,5]=>[.,[[.,.],[[.,.],[.,.]]]]=>([(0,5),(1,5),(2,4),(3,4),(4,5)],6)=>2
[3,2,5,1,6,4]=>[1,6,2,5,3,4]=>[.,[[.,.],[[.,.],[.,.]]]]=>([(0,5),(1,5),(2,4),(3,4),(4,5)],6)=>2
[3,2,5,4,1,6]=>[1,6,2,5,3,4]=>[.,[[.,.],[[.,.],[.,.]]]]=>([(0,5),(1,5),(2,4),(3,4),(4,5)],6)=>2
[3,2,6,1,5,4]=>[1,5,2,6,3,4]=>[.,[[.,.],[[.,.],[.,.]]]]=>([(0,5),(1,5),(2,4),(3,4),(4,5)],6)=>2
[3,2,6,4,1,5]=>[1,5,2,6,3,4]=>[.,[[.,.],[[.,.],[.,.]]]]=>([(0,5),(1,5),(2,4),(3,4),(4,5)],6)=>2
[3,2,6,5,1,4]=>[1,4,2,6,3,5]=>[.,[[.,.],[[.,.],[.,.]]]]=>([(0,5),(1,5),(2,4),(3,4),(4,5)],6)=>2
[3,4,1,5,2,6]=>[1,5,2,6,3,4]=>[.,[[.,.],[[.,.],[.,.]]]]=>([(0,5),(1,5),(2,4),(3,4),(4,5)],6)=>2
[3,4,1,6,2,5]=>[1,6,2,5,3,4]=>[.,[[.,.],[[.,.],[.,.]]]]=>([(0,5),(1,5),(2,4),(3,4),(4,5)],6)=>2
[3,4,2,5,1,6]=>[1,6,2,5,3,4]=>[.,[[.,.],[[.,.],[.,.]]]]=>([(0,5),(1,5),(2,4),(3,4),(4,5)],6)=>2
[3,4,2,6,1,5]=>[1,5,2,6,3,4]=>[.,[[.,.],[[.,.],[.,.]]]]=>([(0,5),(1,5),(2,4),(3,4),(4,5)],6)=>2
[3,5,1,4,2,6]=>[1,4,2,6,3,5]=>[.,[[.,.],[[.,.],[.,.]]]]=>([(0,5),(1,5),(2,4),(3,4),(4,5)],6)=>2
[3,5,1,6,2,4]=>[1,6,2,4,3,5]=>[.,[[.,.],[[.,.],[.,.]]]]=>([(0,5),(1,5),(2,4),(3,4),(4,5)],6)=>2
[3,5,2,4,1,6]=>[1,6,2,4,3,5]=>[.,[[.,.],[[.,.],[.,.]]]]=>([(0,5),(1,5),(2,4),(3,4),(4,5)],6)=>2
[3,5,2,6,1,4]=>[1,4,2,6,3,5]=>[.,[[.,.],[[.,.],[.,.]]]]=>([(0,5),(1,5),(2,4),(3,4),(4,5)],6)=>2
[3,6,1,4,2,5]=>[1,4,2,5,3,6]=>[.,[[.,.],[[.,.],[.,.]]]]=>([(0,5),(1,5),(2,4),(3,4),(4,5)],6)=>2
[3,6,1,5,2,4]=>[1,5,2,4,3,6]=>[.,[[.,.],[[.,.],[.,.]]]]=>([(0,5),(1,5),(2,4),(3,4),(4,5)],6)=>2
[3,6,2,4,1,5]=>[1,5,2,4,3,6]=>[.,[[.,.],[[.,.],[.,.]]]]=>([(0,5),(1,5),(2,4),(3,4),(4,5)],6)=>2
[3,6,2,5,1,4]=>[1,4,2,5,3,6]=>[.,[[.,.],[[.,.],[.,.]]]]=>([(0,5),(1,5),(2,4),(3,4),(4,5)],6)=>2
[4,1,3,2,6,5]=>[1,3,2,6,4,5]=>[.,[[.,.],[[.,.],[.,.]]]]=>([(0,5),(1,5),(2,4),(3,4),(4,5)],6)=>2
[4,1,5,2,6,3]=>[1,5,2,6,3,4]=>[.,[[.,.],[[.,.],[.,.]]]]=>([(0,5),(1,5),(2,4),(3,4),(4,5)],6)=>2
[4,1,5,3,2,6]=>[1,5,2,6,3,4]=>[.,[[.,.],[[.,.],[.,.]]]]=>([(0,5),(1,5),(2,4),(3,4),(4,5)],6)=>2
[4,1,6,2,5,3]=>[1,6,2,5,3,4]=>[.,[[.,.],[[.,.],[.,.]]]]=>([(0,5),(1,5),(2,4),(3,4),(4,5)],6)=>2
[4,1,6,3,2,5]=>[1,6,2,5,3,4]=>[.,[[.,.],[[.,.],[.,.]]]]=>([(0,5),(1,5),(2,4),(3,4),(4,5)],6)=>2
[4,2,5,1,6,3]=>[1,6,2,5,3,4]=>[.,[[.,.],[[.,.],[.,.]]]]=>([(0,5),(1,5),(2,4),(3,4),(4,5)],6)=>2
[4,2,5,3,1,6]=>[1,6,2,5,3,4]=>[.,[[.,.],[[.,.],[.,.]]]]=>([(0,5),(1,5),(2,4),(3,4),(4,5)],6)=>2
[4,2,6,1,5,3]=>[1,5,2,6,3,4]=>[.,[[.,.],[[.,.],[.,.]]]]=>([(0,5),(1,5),(2,4),(3,4),(4,5)],6)=>2
[4,2,6,3,1,5]=>[1,5,2,6,3,4]=>[.,[[.,.],[[.,.],[.,.]]]]=>([(0,5),(1,5),(2,4),(3,4),(4,5)],6)=>2
[4,2,6,5,1,3]=>[1,3,2,6,4,5]=>[.,[[.,.],[[.,.],[.,.]]]]=>([(0,5),(1,5),(2,4),(3,4),(4,5)],6)=>2
[4,3,1,5,2,6]=>[1,5,2,6,3,4]=>[.,[[.,.],[[.,.],[.,.]]]]=>([(0,5),(1,5),(2,4),(3,4),(4,5)],6)=>2
[4,3,1,6,2,5]=>[1,6,2,5,3,4]=>[.,[[.,.],[[.,.],[.,.]]]]=>([(0,5),(1,5),(2,4),(3,4),(4,5)],6)=>2
[4,3,2,5,1,6]=>[1,6,2,5,3,4]=>[.,[[.,.],[[.,.],[.,.]]]]=>([(0,5),(1,5),(2,4),(3,4),(4,5)],6)=>2
[4,3,2,6,1,5]=>[1,5,2,6,3,4]=>[.,[[.,.],[[.,.],[.,.]]]]=>([(0,5),(1,5),(2,4),(3,4),(4,5)],6)=>2
[4,5,1,3,2,6]=>[1,3,2,6,4,5]=>[.,[[.,.],[[.,.],[.,.]]]]=>([(0,5),(1,5),(2,4),(3,4),(4,5)],6)=>2
[4,5,2,6,1,3]=>[1,3,2,6,4,5]=>[.,[[.,.],[[.,.],[.,.]]]]=>([(0,5),(1,5),(2,4),(3,4),(4,5)],6)=>2
[4,6,1,3,2,5]=>[1,3,2,5,4,6]=>[.,[[.,.],[[.,.],[.,.]]]]=>([(0,5),(1,5),(2,4),(3,4),(4,5)],6)=>2
[4,6,2,5,1,3]=>[1,3,2,5,4,6]=>[.,[[.,.],[[.,.],[.,.]]]]=>([(0,5),(1,5),(2,4),(3,4),(4,5)],6)=>2
[5,1,3,2,6,4]=>[1,3,2,6,4,5]=>[.,[[.,.],[[.,.],[.,.]]]]=>([(0,5),(1,5),(2,4),(3,4),(4,5)],6)=>2
[5,1,4,2,6,3]=>[1,4,2,6,3,5]=>[.,[[.,.],[[.,.],[.,.]]]]=>([(0,5),(1,5),(2,4),(3,4),(4,5)],6)=>2
[5,1,4,3,2,6]=>[1,4,2,6,3,5]=>[.,[[.,.],[[.,.],[.,.]]]]=>([(0,5),(1,5),(2,4),(3,4),(4,5)],6)=>2
[5,1,6,2,4,3]=>[1,6,2,4,3,5]=>[.,[[.,.],[[.,.],[.,.]]]]=>([(0,5),(1,5),(2,4),(3,4),(4,5)],6)=>2
[5,1,6,3,2,4]=>[1,6,2,4,3,5]=>[.,[[.,.],[[.,.],[.,.]]]]=>([(0,5),(1,5),(2,4),(3,4),(4,5)],6)=>2
[5,2,4,1,6,3]=>[1,6,2,4,3,5]=>[.,[[.,.],[[.,.],[.,.]]]]=>([(0,5),(1,5),(2,4),(3,4),(4,5)],6)=>2
[5,2,4,3,1,6]=>[1,6,2,4,3,5]=>[.,[[.,.],[[.,.],[.,.]]]]=>([(0,5),(1,5),(2,4),(3,4),(4,5)],6)=>2
[5,2,6,1,4,3]=>[1,4,2,6,3,5]=>[.,[[.,.],[[.,.],[.,.]]]]=>([(0,5),(1,5),(2,4),(3,4),(4,5)],6)=>2
[5,2,6,3,1,4]=>[1,4,2,6,3,5]=>[.,[[.,.],[[.,.],[.,.]]]]=>([(0,5),(1,5),(2,4),(3,4),(4,5)],6)=>2
[5,2,6,4,1,3]=>[1,3,2,6,4,5]=>[.,[[.,.],[[.,.],[.,.]]]]=>([(0,5),(1,5),(2,4),(3,4),(4,5)],6)=>2
[5,3,1,4,2,6]=>[1,4,2,6,3,5]=>[.,[[.,.],[[.,.],[.,.]]]]=>([(0,5),(1,5),(2,4),(3,4),(4,5)],6)=>2
[5,3,1,6,2,4]=>[1,6,2,4,3,5]=>[.,[[.,.],[[.,.],[.,.]]]]=>([(0,5),(1,5),(2,4),(3,4),(4,5)],6)=>2
[5,3,2,4,1,6]=>[1,6,2,4,3,5]=>[.,[[.,.],[[.,.],[.,.]]]]=>([(0,5),(1,5),(2,4),(3,4),(4,5)],6)=>2
[5,3,2,6,1,4]=>[1,4,2,6,3,5]=>[.,[[.,.],[[.,.],[.,.]]]]=>([(0,5),(1,5),(2,4),(3,4),(4,5)],6)=>2
[5,4,1,3,2,6]=>[1,3,2,6,4,5]=>[.,[[.,.],[[.,.],[.,.]]]]=>([(0,5),(1,5),(2,4),(3,4),(4,5)],6)=>2
[5,4,2,6,1,3]=>[1,3,2,6,4,5]=>[.,[[.,.],[[.,.],[.,.]]]]=>([(0,5),(1,5),(2,4),(3,4),(4,5)],6)=>2
[6,1,3,2,5,4]=>[1,3,2,5,4,6]=>[.,[[.,.],[[.,.],[.,.]]]]=>([(0,5),(1,5),(2,4),(3,4),(4,5)],6)=>2
[6,1,4,2,5,3]=>[1,4,2,5,3,6]=>[.,[[.,.],[[.,.],[.,.]]]]=>([(0,5),(1,5),(2,4),(3,4),(4,5)],6)=>2
[6,1,4,3,2,5]=>[1,4,2,5,3,6]=>[.,[[.,.],[[.,.],[.,.]]]]=>([(0,5),(1,5),(2,4),(3,4),(4,5)],6)=>2
[6,1,5,2,4,3]=>[1,5,2,4,3,6]=>[.,[[.,.],[[.,.],[.,.]]]]=>([(0,5),(1,5),(2,4),(3,4),(4,5)],6)=>2
[6,1,5,3,2,4]=>[1,5,2,4,3,6]=>[.,[[.,.],[[.,.],[.,.]]]]=>([(0,5),(1,5),(2,4),(3,4),(4,5)],6)=>2
[6,2,4,1,5,3]=>[1,5,2,4,3,6]=>[.,[[.,.],[[.,.],[.,.]]]]=>([(0,5),(1,5),(2,4),(3,4),(4,5)],6)=>2
[6,2,4,3,1,5]=>[1,5,2,4,3,6]=>[.,[[.,.],[[.,.],[.,.]]]]=>([(0,5),(1,5),(2,4),(3,4),(4,5)],6)=>2
[6,2,5,1,4,3]=>[1,4,2,5,3,6]=>[.,[[.,.],[[.,.],[.,.]]]]=>([(0,5),(1,5),(2,4),(3,4),(4,5)],6)=>2
[6,2,5,3,1,4]=>[1,4,2,5,3,6]=>[.,[[.,.],[[.,.],[.,.]]]]=>([(0,5),(1,5),(2,4),(3,4),(4,5)],6)=>2
[6,2,5,4,1,3]=>[1,3,2,5,4,6]=>[.,[[.,.],[[.,.],[.,.]]]]=>([(0,5),(1,5),(2,4),(3,4),(4,5)],6)=>2
[6,3,1,4,2,5]=>[1,4,2,5,3,6]=>[.,[[.,.],[[.,.],[.,.]]]]=>([(0,5),(1,5),(2,4),(3,4),(4,5)],6)=>2
[6,3,1,5,2,4]=>[1,5,2,4,3,6]=>[.,[[.,.],[[.,.],[.,.]]]]=>([(0,5),(1,5),(2,4),(3,4),(4,5)],6)=>2
[6,3,2,4,1,5]=>[1,5,2,4,3,6]=>[.,[[.,.],[[.,.],[.,.]]]]=>([(0,5),(1,5),(2,4),(3,4),(4,5)],6)=>2
[6,3,2,5,1,4]=>[1,4,2,5,3,6]=>[.,[[.,.],[[.,.],[.,.]]]]=>([(0,5),(1,5),(2,4),(3,4),(4,5)],6)=>2
[6,4,1,3,2,5]=>[1,3,2,5,4,6]=>[.,[[.,.],[[.,.],[.,.]]]]=>([(0,5),(1,5),(2,4),(3,4),(4,5)],6)=>2
[6,4,2,5,1,3]=>[1,3,2,5,4,6]=>[.,[[.,.],[[.,.],[.,.]]]]=>([(0,5),(1,5),(2,4),(3,4),(4,5)],6)=>2
[1,2,4,5,3,6,7]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)=>2
[1,2,4,5,3,7,6]=>[1,2,4,5,3,7,6]=>[.,[.,[[.,[.,.]],[[.,.],.]]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)=>2
[1,2,4,6,3,5,7]=>[1,2,4,6,3,5,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)=>2
[1,2,4,6,3,7,5]=>[1,2,4,6,3,7,5]=>[.,[.,[[.,[.,.]],[[.,.],.]]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)=>2
[1,2,4,6,5,3,7]=>[1,2,4,6,3,7,5]=>[.,[.,[[.,[.,.]],[[.,.],.]]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)=>2
[1,2,4,6,5,7,3]=>[1,2,4,6,3,5,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)=>2
[1,2,4,7,3,5,6]=>[1,2,4,7,3,5,6]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)=>2
[1,2,4,7,3,6,5]=>[1,2,4,7,3,6,5]=>[.,[.,[[.,[.,.]],[[.,.],.]]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)=>2
[1,2,4,7,5,3,6]=>[1,2,4,7,3,6,5]=>[.,[.,[[.,[.,.]],[[.,.],.]]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)=>2
[1,2,4,7,5,6,3]=>[1,2,4,7,3,5,6]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)=>2
[1,2,4,7,6,3,5]=>[1,2,4,7,3,5,6]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)=>2
[1,2,4,7,6,5,3]=>[1,2,4,7,3,5,6]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)=>2
[1,2,5,6,3,4,7]=>[1,2,5,6,3,4,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)=>2
[1,2,5,6,3,7,4]=>[1,2,5,6,3,7,4]=>[.,[.,[[.,[.,.]],[[.,.],.]]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)=>2
[1,2,5,6,4,3,7]=>[1,2,5,6,3,7,4]=>[.,[.,[[.,[.,.]],[[.,.],.]]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)=>2
[1,2,5,6,4,7,3]=>[1,2,5,6,3,4,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)=>2
[1,2,5,7,3,4,6]=>[1,2,5,7,3,4,6]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)=>2
[1,2,5,7,3,6,4]=>[1,2,5,7,3,6,4]=>[.,[.,[[.,[.,.]],[[.,.],.]]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)=>2
[1,2,5,7,4,3,6]=>[1,2,5,7,3,6,4]=>[.,[.,[[.,[.,.]],[[.,.],.]]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)=>2
[1,2,5,7,4,6,3]=>[1,2,5,7,3,4,6]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)=>2
[1,2,5,7,6,3,4]=>[1,2,5,7,3,4,6]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)=>2
[1,2,5,7,6,4,3]=>[1,2,5,7,3,4,6]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)=>2
[1,2,6,7,3,4,5]=>[1,2,6,7,3,4,5]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)=>2
[1,2,6,7,3,5,4]=>[1,2,6,7,3,5,4]=>[.,[.,[[.,[.,.]],[[.,.],.]]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)=>2
[1,2,6,7,4,3,5]=>[1,2,6,7,3,5,4]=>[.,[.,[[.,[.,.]],[[.,.],.]]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)=>2
[1,2,6,7,4,5,3]=>[1,2,6,7,3,4,5]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)=>2
[1,2,6,7,5,3,4]=>[1,2,6,7,3,4,5]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)=>2
[1,2,6,7,5,4,3]=>[1,2,6,7,3,4,5]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)=>2
[1,3,2,4,6,5,7]=>[1,3,2,4,6,5,7]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)=>2
[1,3,2,4,7,5,6]=>[1,3,2,4,7,5,6]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)=>2
[1,3,2,4,7,6,5]=>[1,3,2,4,7,5,6]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)=>2
[1,4,2,3,6,5,7]=>[1,4,2,3,6,5,7]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)=>2
[1,4,2,3,7,5,6]=>[1,4,2,3,7,5,6]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)=>2
[1,4,2,3,7,6,5]=>[1,4,2,3,7,5,6]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)=>2
[1,4,3,6,5,7,2]=>[1,4,2,3,6,5,7]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)=>2
[1,4,3,7,5,6,2]=>[1,4,2,3,7,5,6]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)=>2
[1,4,3,7,6,5,2]=>[1,4,2,3,7,5,6]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)=>2
[1,5,2,3,6,4,7]=>[1,5,2,3,6,4,7]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)=>2
[1,5,2,3,7,4,6]=>[1,5,2,3,7,4,6]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)=>2
[1,5,2,3,7,6,4]=>[1,5,2,3,7,4,6]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)=>2
[1,5,3,6,4,7,2]=>[1,5,2,3,6,4,7]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)=>2
[1,5,3,7,4,6,2]=>[1,5,2,3,7,4,6]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)=>2
[1,5,3,7,6,4,2]=>[1,5,2,3,7,4,6]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)=>2
[1,5,4,2,3,7,6]=>[1,5,2,3,7,4,6]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)=>2
[1,5,4,3,7,6,2]=>[1,5,2,3,7,4,6]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)=>2
[1,5,4,6,2,3,7]=>[1,5,2,3,7,4,6]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)=>2
[1,5,4,6,3,7,2]=>[1,5,2,3,7,4,6]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)=>2
[1,5,4,7,2,3,6]=>[1,5,2,3,6,4,7]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)=>2
[1,5,4,7,3,6,2]=>[1,5,2,3,6,4,7]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)=>2
[1,6,2,3,5,4,7]=>[1,6,2,3,5,4,7]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)=>2
[1,6,2,3,7,4,5]=>[1,6,2,3,7,4,5]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)=>2
[1,6,2,3,7,5,4]=>[1,6,2,3,7,4,5]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)=>2
[1,6,3,5,4,7,2]=>[1,6,2,3,5,4,7]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)=>2
[1,6,3,7,4,5,2]=>[1,6,2,3,7,4,5]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)=>2
[1,6,3,7,5,4,2]=>[1,6,2,3,7,4,5]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)=>2
[1,6,4,2,3,7,5]=>[1,6,2,3,7,4,5]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)=>2
[1,6,4,3,7,5,2]=>[1,6,2,3,7,4,5]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)=>2
[1,6,4,5,2,3,7]=>[1,6,2,3,7,4,5]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)=>2
[1,6,4,5,3,7,2]=>[1,6,2,3,7,4,5]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)=>2
[1,6,4,7,2,3,5]=>[1,6,2,3,5,4,7]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)=>2
[1,6,4,7,3,5,2]=>[1,6,2,3,5,4,7]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)=>2
[1,6,5,2,3,7,4]=>[1,6,2,3,7,4,5]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)=>2
[1,6,5,3,7,4,2]=>[1,6,2,3,7,4,5]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)=>2
[1,6,5,4,2,3,7]=>[1,6,2,3,7,4,5]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)=>2
[1,6,5,4,3,7,2]=>[1,6,2,3,7,4,5]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)=>2
[1,7,2,3,5,4,6]=>[1,7,2,3,5,4,6]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)=>2
[1,7,2,3,6,4,5]=>[1,7,2,3,6,4,5]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)=>2
[1,7,2,3,6,5,4]=>[1,7,2,3,6,4,5]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)=>2
[1,7,3,5,4,6,2]=>[1,7,2,3,5,4,6]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)=>2
[1,7,3,6,4,5,2]=>[1,7,2,3,6,4,5]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)=>2
[1,7,3,6,5,4,2]=>[1,7,2,3,6,4,5]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)=>2
[1,7,4,2,3,6,5]=>[1,7,2,3,6,4,5]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)=>2
[1,7,4,3,6,5,2]=>[1,7,2,3,6,4,5]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)=>2
[1,7,4,5,2,3,6]=>[1,7,2,3,6,4,5]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)=>2
[1,7,4,5,3,6,2]=>[1,7,2,3,6,4,5]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)=>2
[1,7,4,6,2,3,5]=>[1,7,2,3,5,4,6]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)=>2
[1,7,4,6,3,5,2]=>[1,7,2,3,5,4,6]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)=>2
[1,7,5,2,3,6,4]=>[1,7,2,3,6,4,5]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)=>2
[1,7,5,3,6,4,2]=>[1,7,2,3,6,4,5]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)=>2
[1,7,5,4,2,3,6]=>[1,7,2,3,6,4,5]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)=>2
[1,7,5,4,3,6,2]=>[1,7,2,3,6,4,5]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)=>2
[1,7,6,2,3,5,4]=>[1,7,2,3,5,4,6]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)=>2
[1,7,6,3,5,4,2]=>[1,7,2,3,5,4,6]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)=>2
[1,7,6,4,2,3,5]=>[1,7,2,3,5,4,6]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)=>2
[1,7,6,4,3,5,2]=>[1,7,2,3,5,4,6]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)=>2
[2,1,4,3,6,5,7]=>[1,4,2,3,6,5,7]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)=>2
[2,1,4,3,7,5,6]=>[1,4,2,3,7,5,6]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)=>2
[2,1,4,3,7,6,5]=>[1,4,2,3,7,5,6]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)=>2
[2,1,5,3,6,4,7]=>[1,5,2,3,6,4,7]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)=>2
[2,1,5,3,7,4,6]=>[1,5,2,3,7,4,6]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)=>2
[2,1,5,3,7,6,4]=>[1,5,2,3,7,4,6]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)=>2
[2,1,5,4,3,7,6]=>[1,5,2,3,7,4,6]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)=>2
[2,1,5,4,6,3,7]=>[1,5,2,3,7,4,6]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)=>2
[2,1,5,4,7,3,6]=>[1,5,2,3,6,4,7]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)=>2
[2,1,6,3,5,4,7]=>[1,6,2,3,5,4,7]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)=>2
[2,1,6,3,7,4,5]=>[1,6,2,3,7,4,5]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)=>2
[2,1,6,3,7,5,4]=>[1,6,2,3,7,4,5]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)=>2
[2,1,6,4,3,7,5]=>[1,6,2,3,7,4,5]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)=>2
[2,1,6,4,5,3,7]=>[1,6,2,3,7,4,5]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)=>2
[2,1,6,4,7,3,5]=>[1,6,2,3,5,4,7]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)=>2
[2,1,6,5,3,7,4]=>[1,6,2,3,7,4,5]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)=>2
[2,1,6,5,4,3,7]=>[1,6,2,3,7,4,5]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)=>2
[2,1,7,3,5,4,6]=>[1,7,2,3,5,4,6]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)=>2
[2,1,7,3,6,4,5]=>[1,7,2,3,6,4,5]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)=>2
[2,1,7,3,6,5,4]=>[1,7,2,3,6,4,5]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)=>2
[2,1,7,4,3,6,5]=>[1,7,2,3,6,4,5]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)=>2
[2,1,7,4,5,3,6]=>[1,7,2,3,6,4,5]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)=>2
[2,1,7,4,6,3,5]=>[1,7,2,3,5,4,6]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)=>2
[2,1,7,5,3,6,4]=>[1,7,2,3,6,4,5]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)=>2
[2,1,7,5,4,3,6]=>[1,7,2,3,6,4,5]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)=>2
[2,1,7,6,3,5,4]=>[1,7,2,3,5,4,6]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)=>2
[2,1,7,6,4,3,5]=>[1,7,2,3,5,4,6]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)=>2
[2,3,5,1,6,4,7]=>[1,6,2,3,5,4,7]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)=>2
[2,3,5,1,7,4,6]=>[1,7,2,3,5,4,6]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)=>2
[2,3,5,1,7,6,4]=>[1,7,2,3,5,4,6]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)=>2
[2,3,5,4,1,7,6]=>[1,7,2,3,5,4,6]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)=>2
[2,3,5,4,6,1,7]=>[1,7,2,3,5,4,6]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)=>2
[2,3,5,4,7,1,6]=>[1,6,2,3,5,4,7]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)=>2
[2,3,6,1,5,4,7]=>[1,5,2,3,6,4,7]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)=>2
[2,3,6,1,7,4,5]=>[1,7,2,3,6,4,5]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)=>2
[2,3,6,1,7,5,4]=>[1,7,2,3,6,4,5]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)=>2
[2,3,6,4,1,7,5]=>[1,7,2,3,6,4,5]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)=>2
[2,3,6,4,5,1,7]=>[1,7,2,3,6,4,5]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)=>2
[2,3,6,4,7,1,5]=>[1,5,2,3,6,4,7]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)=>2
[2,3,6,5,1,7,4]=>[1,7,2,3,6,4,5]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)=>2
[2,3,6,5,4,1,7]=>[1,7,2,3,6,4,5]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)=>2
[2,3,6,5,7,1,4]=>[1,4,2,3,6,5,7]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)=>2
[2,3,7,1,5,4,6]=>[1,5,2,3,7,4,6]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)=>2
[2,3,7,1,6,4,5]=>[1,6,2,3,7,4,5]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)=>2
[2,3,7,1,6,5,4]=>[1,6,2,3,7,4,5]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)=>2
[2,3,7,4,1,6,5]=>[1,6,2,3,7,4,5]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)=>2
[2,3,7,4,5,1,6]=>[1,6,2,3,7,4,5]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)=>2
[2,3,7,4,6,1,5]=>[1,5,2,3,7,4,6]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)=>2
[2,3,7,5,1,6,4]=>[1,6,2,3,7,4,5]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)=>2
[2,3,7,5,4,1,6]=>[1,6,2,3,7,4,5]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)=>2
[2,3,7,5,6,1,4]=>[1,4,2,3,7,5,6]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)=>2
[2,3,7,6,1,5,4]=>[1,5,2,3,7,4,6]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)=>2
[2,3,7,6,4,1,5]=>[1,5,2,3,7,4,6]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)=>2
[2,3,7,6,5,1,4]=>[1,4,2,3,7,5,6]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)=>2
[2,4,5,3,6,7,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)=>2
[2,4,5,3,7,6,1]=>[1,2,4,5,3,7,6]=>[.,[.,[[.,[.,.]],[[.,.],.]]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)=>2
[2,4,6,3,5,7,1]=>[1,2,4,6,3,5,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)=>2
[2,4,6,3,7,5,1]=>[1,2,4,6,3,7,5]=>[.,[.,[[.,[.,.]],[[.,.],.]]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)=>2
[2,4,6,5,3,7,1]=>[1,2,4,6,3,7,5]=>[.,[.,[[.,[.,.]],[[.,.],.]]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)=>2
[2,4,6,5,7,1,3]=>[1,3,2,4,6,5,7]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)=>2
[2,4,6,5,7,3,1]=>[1,2,4,6,3,5,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)=>2
[2,4,7,3,5,6,1]=>[1,2,4,7,3,5,6]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)=>2
[2,4,7,3,6,5,1]=>[1,2,4,7,3,6,5]=>[.,[.,[[.,[.,.]],[[.,.],.]]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)=>2
[2,4,7,5,3,6,1]=>[1,2,4,7,3,6,5]=>[.,[.,[[.,[.,.]],[[.,.],.]]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)=>2
[2,4,7,5,6,1,3]=>[1,3,2,4,7,5,6]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)=>2
[2,4,7,5,6,3,1]=>[1,2,4,7,3,5,6]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)=>2
[2,4,7,6,3,5,1]=>[1,2,4,7,3,5,6]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)=>2
[2,4,7,6,5,1,3]=>[1,3,2,4,7,5,6]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)=>2
[2,4,7,6,5,3,1]=>[1,2,4,7,3,5,6]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)=>2
[2,5,6,3,4,7,1]=>[1,2,5,6,3,4,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)=>2
[2,5,6,3,7,4,1]=>[1,2,5,6,3,7,4]=>[.,[.,[[.,[.,.]],[[.,.],.]]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)=>2
[2,5,6,4,3,7,1]=>[1,2,5,6,3,7,4]=>[.,[.,[[.,[.,.]],[[.,.],.]]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)=>2
[2,5,6,4,7,3,1]=>[1,2,5,6,3,4,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)=>2
[2,5,7,3,4,6,1]=>[1,2,5,7,3,4,6]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)=>2
[2,5,7,3,6,4,1]=>[1,2,5,7,3,6,4]=>[.,[.,[[.,[.,.]],[[.,.],.]]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)=>2
[2,5,7,4,3,6,1]=>[1,2,5,7,3,6,4]=>[.,[.,[[.,[.,.]],[[.,.],.]]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)=>2
[2,5,7,4,6,3,1]=>[1,2,5,7,3,4,6]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)=>2
[2,5,7,6,3,4,1]=>[1,2,5,7,3,4,6]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)=>2
[2,5,7,6,4,3,1]=>[1,2,5,7,3,4,6]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)=>2
[2,6,7,3,4,5,1]=>[1,2,6,7,3,4,5]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)=>2
[2,6,7,3,5,4,1]=>[1,2,6,7,3,5,4]=>[.,[.,[[.,[.,.]],[[.,.],.]]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)=>2
[2,6,7,4,3,5,1]=>[1,2,6,7,3,5,4]=>[.,[.,[[.,[.,.]],[[.,.],.]]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)=>2
[2,6,7,4,5,3,1]=>[1,2,6,7,3,4,5]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)=>2
[2,6,7,5,3,4,1]=>[1,2,6,7,3,4,5]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)=>2
[2,6,7,5,4,3,1]=>[1,2,6,7,3,4,5]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)=>2
[3,1,2,4,6,5,7]=>[1,2,4,6,3,5,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)=>2
[3,1,2,4,7,5,6]=>[1,2,4,7,3,5,6]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)=>2
[3,1,2,4,7,6,5]=>[1,2,4,7,3,5,6]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)=>2
[3,1,2,5,6,4,7]=>[1,2,5,6,3,4,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)=>2
[3,1,2,5,7,4,6]=>[1,2,5,7,3,4,6]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)=>2
[3,1,2,5,7,6,4]=>[1,2,5,7,3,4,6]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)=>2
[3,1,2,6,7,4,5]=>[1,2,6,7,3,4,5]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)=>2
[3,1,2,6,7,5,4]=>[1,2,6,7,3,4,5]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)=>2
[3,2,4,6,5,7,1]=>[1,2,4,6,3,5,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)=>2
[3,2,4,7,5,6,1]=>[1,2,4,7,3,5,6]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)=>2
[3,2,4,7,6,5,1]=>[1,2,4,7,3,5,6]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)=>2
[3,2,5,6,4,7,1]=>[1,2,5,6,3,4,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)=>2
[3,2,5,7,4,6,1]=>[1,2,5,7,3,4,6]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)=>2
[3,2,5,7,6,4,1]=>[1,2,5,7,3,4,6]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)=>2
[3,2,6,7,4,5,1]=>[1,2,6,7,3,4,5]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)=>2
[3,2,6,7,5,4,1]=>[1,2,6,7,3,4,5]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)=>2
[3,4,1,2,5,7,6]=>[1,2,5,7,3,4,6]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)=>2
[3,4,1,2,6,7,5]=>[1,2,6,7,3,4,5]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)=>2
[3,4,2,5,7,6,1]=>[1,2,5,7,3,4,6]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)=>2
[3,4,2,6,7,5,1]=>[1,2,6,7,3,4,5]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)=>2
[3,4,5,1,2,6,7]=>[1,2,6,7,3,4,5]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)=>2
[3,4,5,2,6,7,1]=>[1,2,6,7,3,4,5]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)=>2
[3,4,6,1,2,5,7]=>[1,2,5,7,3,4,6]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)=>2
[3,4,6,2,5,7,1]=>[1,2,5,7,3,4,6]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)=>2
[3,4,7,1,2,5,6]=>[1,2,5,6,3,4,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)=>2
[3,4,7,2,5,6,1]=>[1,2,5,6,3,4,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)=>2
[3,5,1,2,4,7,6]=>[1,2,4,7,3,5,6]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)=>2
[3,5,1,2,6,7,4]=>[1,2,6,7,3,5,4]=>[.,[.,[[.,[.,.]],[[.,.],.]]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)=>2
[3,5,1,6,4,7,2]=>[1,6,2,3,5,4,7]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)=>2
[3,5,1,7,4,6,2]=>[1,7,2,3,5,4,6]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)=>2
[3,5,1,7,6,4,2]=>[1,7,2,3,5,4,6]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)=>2
[3,5,2,1,6,4,7]=>[1,6,2,3,5,4,7]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)=>2
[3,5,2,1,7,4,6]=>[1,7,2,3,5,4,6]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)=>2
[3,5,2,1,7,6,4]=>[1,7,2,3,5,4,6]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)=>2
[3,5,2,4,7,6,1]=>[1,2,4,7,3,5,6]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)=>2
[3,5,2,6,7,4,1]=>[1,2,6,7,3,5,4]=>[.,[.,[[.,[.,.]],[[.,.],.]]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)=>2
[3,5,4,1,2,6,7]=>[1,2,6,7,3,5,4]=>[.,[.,[[.,[.,.]],[[.,.],.]]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)=>2
[3,5,4,1,7,6,2]=>[1,7,2,3,5,4,6]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)=>2
[3,5,4,2,1,7,6]=>[1,7,2,3,5,4,6]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)=>2
[3,5,4,2,6,7,1]=>[1,2,6,7,3,5,4]=>[.,[.,[[.,[.,.]],[[.,.],.]]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)=>2
[3,5,4,6,1,7,2]=>[1,7,2,3,5,4,6]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)=>2
[3,5,4,6,2,1,7]=>[1,7,2,3,5,4,6]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)=>2
[3,5,4,7,1,6,2]=>[1,6,2,3,5,4,7]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)=>2
[3,5,4,7,2,1,6]=>[1,6,2,3,5,4,7]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)=>2
[3,5,6,1,2,4,7]=>[1,2,4,7,3,5,6]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)=>2
[3,5,6,2,4,7,1]=>[1,2,4,7,3,5,6]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)=>2
[3,5,7,1,2,4,6]=>[1,2,4,6,3,5,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)=>2
[3,5,7,2,4,6,1]=>[1,2,4,6,3,5,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)=>2
[3,6,1,2,4,7,5]=>[1,2,4,7,3,6,5]=>[.,[.,[[.,[.,.]],[[.,.],.]]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)=>2
[3,6,1,2,5,7,4]=>[1,2,5,7,3,6,4]=>[.,[.,[[.,[.,.]],[[.,.],.]]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)=>2
[3,6,1,5,4,7,2]=>[1,5,2,3,6,4,7]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)=>2
[3,6,1,7,4,5,2]=>[1,7,2,3,6,4,5]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)=>2
[3,6,1,7,5,4,2]=>[1,7,2,3,6,4,5]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)=>2
[3,6,2,1,5,4,7]=>[1,5,2,3,6,4,7]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)=>2
[3,6,2,1,7,4,5]=>[1,7,2,3,6,4,5]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)=>2
[3,6,2,1,7,5,4]=>[1,7,2,3,6,4,5]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)=>2
[3,6,2,4,7,5,1]=>[1,2,4,7,3,6,5]=>[.,[.,[[.,[.,.]],[[.,.],.]]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)=>2
[3,6,2,5,7,4,1]=>[1,2,5,7,3,6,4]=>[.,[.,[[.,[.,.]],[[.,.],.]]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)=>2
[3,6,4,1,2,5,7]=>[1,2,5,7,3,6,4]=>[.,[.,[[.,[.,.]],[[.,.],.]]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)=>2
[3,6,4,1,7,5,2]=>[1,7,2,3,6,4,5]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)=>2
[3,6,4,2,1,7,5]=>[1,7,2,3,6,4,5]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)=>2
[3,6,4,2,5,7,1]=>[1,2,5,7,3,6,4]=>[.,[.,[[.,[.,.]],[[.,.],.]]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)=>2
[3,6,4,5,1,7,2]=>[1,7,2,3,6,4,5]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)=>2
[3,6,4,5,2,1,7]=>[1,7,2,3,6,4,5]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)=>2
[3,6,4,7,1,5,2]=>[1,5,2,3,6,4,7]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)=>2
[3,6,4,7,2,1,5]=>[1,5,2,3,6,4,7]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)=>2
[3,6,5,1,2,4,7]=>[1,2,4,7,3,6,5]=>[.,[.,[[.,[.,.]],[[.,.],.]]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)=>2
[3,6,5,1,7,4,2]=>[1,7,2,3,6,4,5]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)=>2
[3,6,5,2,1,7,4]=>[1,7,2,3,6,4,5]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)=>2
[3,6,5,2,4,7,1]=>[1,2,4,7,3,6,5]=>[.,[.,[[.,[.,.]],[[.,.],.]]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)=>2
[3,6,5,4,1,7,2]=>[1,7,2,3,6,4,5]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)=>2
[3,6,5,4,2,1,7]=>[1,7,2,3,6,4,5]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)=>2
[3,6,5,7,1,4,2]=>[1,4,2,3,6,5,7]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)=>2
[3,6,5,7,2,1,4]=>[1,4,2,3,6,5,7]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)=>2
[3,6,7,1,2,4,5]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)=>2
[3,6,7,2,4,5,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)=>2
[3,7,1,2,4,6,5]=>[1,2,4,6,3,7,5]=>[.,[.,[[.,[.,.]],[[.,.],.]]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)=>2
[3,7,1,2,5,6,4]=>[1,2,5,6,3,7,4]=>[.,[.,[[.,[.,.]],[[.,.],.]]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)=>2
[3,7,1,5,4,6,2]=>[1,5,2,3,7,4,6]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)=>2
[3,7,1,6,4,5,2]=>[1,6,2,3,7,4,5]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)=>2
[3,7,1,6,5,4,2]=>[1,6,2,3,7,4,5]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)=>2
[3,7,2,1,5,4,6]=>[1,5,2,3,7,4,6]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)=>2
[3,7,2,1,6,4,5]=>[1,6,2,3,7,4,5]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)=>2
[3,7,2,1,6,5,4]=>[1,6,2,3,7,4,5]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)=>2
[3,7,2,4,6,5,1]=>[1,2,4,6,3,7,5]=>[.,[.,[[.,[.,.]],[[.,.],.]]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)=>2
[3,7,2,5,6,4,1]=>[1,2,5,6,3,7,4]=>[.,[.,[[.,[.,.]],[[.,.],.]]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)=>2
[3,7,4,1,2,5,6]=>[1,2,5,6,3,7,4]=>[.,[.,[[.,[.,.]],[[.,.],.]]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)=>2
[3,7,4,1,6,5,2]=>[1,6,2,3,7,4,5]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)=>2
[3,7,4,2,1,6,5]=>[1,6,2,3,7,4,5]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)=>2
[3,7,4,2,5,6,1]=>[1,2,5,6,3,7,4]=>[.,[.,[[.,[.,.]],[[.,.],.]]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)=>2
[3,7,4,5,1,6,2]=>[1,6,2,3,7,4,5]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)=>2
[3,7,4,5,2,1,6]=>[1,6,2,3,7,4,5]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)=>2
[3,7,4,6,1,5,2]=>[1,5,2,3,7,4,6]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)=>2
[3,7,4,6,2,1,5]=>[1,5,2,3,7,4,6]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)=>2
[3,7,5,1,2,4,6]=>[1,2,4,6,3,7,5]=>[.,[.,[[.,[.,.]],[[.,.],.]]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)=>2
[3,7,5,1,6,4,2]=>[1,6,2,3,7,4,5]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)=>2
[3,7,5,2,1,6,4]=>[1,6,2,3,7,4,5]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)=>2
[3,7,5,2,4,6,1]=>[1,2,4,6,3,7,5]=>[.,[.,[[.,[.,.]],[[.,.],.]]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)=>2
[3,7,5,4,1,6,2]=>[1,6,2,3,7,4,5]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)=>2
[3,7,5,4,2,1,6]=>[1,6,2,3,7,4,5]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)=>2
[3,7,5,6,1,4,2]=>[1,4,2,3,7,5,6]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)=>2
[3,7,5,6,2,1,4]=>[1,4,2,3,7,5,6]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)=>2
[3,7,6,1,2,4,5]=>[1,2,4,5,3,7,6]=>[.,[.,[[.,[.,.]],[[.,.],.]]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)=>2
[3,7,6,1,5,4,2]=>[1,5,2,3,7,4,6]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)=>2
[3,7,6,2,1,5,4]=>[1,5,2,3,7,4,6]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)=>2
[3,7,6,2,4,5,1]=>[1,2,4,5,3,7,6]=>[.,[.,[[.,[.,.]],[[.,.],.]]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)=>2
[3,7,6,4,1,5,2]=>[1,5,2,3,7,4,6]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)=>2
[3,7,6,4,2,1,5]=>[1,5,2,3,7,4,6]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)=>2
[3,7,6,5,1,4,2]=>[1,4,2,3,7,5,6]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)=>2
[3,7,6,5,2,1,4]=>[1,4,2,3,7,5,6]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)=>2
[4,1,2,5,6,3,7]=>[1,2,5,6,3,7,4]=>[.,[.,[[.,[.,.]],[[.,.],.]]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)=>2
[4,1,2,5,7,3,6]=>[1,2,5,7,3,6,4]=>[.,[.,[[.,[.,.]],[[.,.],.]]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)=>2
[4,1,2,5,7,6,3]=>[1,2,5,7,3,4,6]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)=>2
[4,1,2,6,7,3,5]=>[1,2,6,7,3,5,4]=>[.,[.,[[.,[.,.]],[[.,.],.]]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)=>2
[4,1,2,6,7,5,3]=>[1,2,6,7,3,4,5]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)=>2
[4,1,5,2,3,7,6]=>[1,5,2,3,7,4,6]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)=>2
[4,1,5,3,7,6,2]=>[1,5,2,3,7,4,6]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)=>2
[4,1,6,2,3,7,5]=>[1,6,2,3,7,4,5]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)=>2
[4,1,6,3,7,5,2]=>[1,6,2,3,7,4,5]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)=>2
[4,1,6,5,2,3,7]=>[1,6,2,3,7,4,5]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)=>2
[4,1,6,5,3,7,2]=>[1,6,2,3,7,4,5]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)=>2
[4,1,7,2,3,6,5]=>[1,7,2,3,6,4,5]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)=>2
[4,1,7,3,6,5,2]=>[1,7,2,3,6,4,5]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)=>2
[4,1,7,5,2,3,6]=>[1,7,2,3,6,4,5]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)=>2
[4,1,7,5,3,6,2]=>[1,7,2,3,6,4,5]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)=>2
[4,1,7,6,2,3,5]=>[1,7,2,3,5,4,6]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)=>2
[4,1,7,6,3,5,2]=>[1,7,2,3,5,4,6]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)=>2
[4,2,1,5,3,7,6]=>[1,5,2,3,7,4,6]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)=>2
[4,2,1,6,3,7,5]=>[1,6,2,3,7,4,5]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)=>2
[4,2,1,6,5,3,7]=>[1,6,2,3,7,4,5]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)=>2
[4,2,1,7,3,6,5]=>[1,7,2,3,6,4,5]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)=>2
[4,2,1,7,5,3,6]=>[1,7,2,3,6,4,5]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)=>2
[4,2,1,7,6,3,5]=>[1,7,2,3,5,4,6]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)=>2
[4,2,3,5,1,7,6]=>[1,7,2,3,5,4,6]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)=>2
[4,2,3,6,1,7,5]=>[1,7,2,3,6,4,5]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)=>2
[4,2,3,6,5,1,7]=>[1,7,2,3,6,4,5]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)=>2
[4,2,3,7,1,6,5]=>[1,6,2,3,7,4,5]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)=>2
[4,2,3,7,5,1,6]=>[1,6,2,3,7,4,5]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)=>2
[4,2,3,7,6,1,5]=>[1,5,2,3,7,4,6]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)=>2
[4,2,5,6,3,7,1]=>[1,2,5,6,3,7,4]=>[.,[.,[[.,[.,.]],[[.,.],.]]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)=>2
[4,2,5,7,3,6,1]=>[1,2,5,7,3,6,4]=>[.,[.,[[.,[.,.]],[[.,.],.]]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)=>2
[4,2,5,7,6,3,1]=>[1,2,5,7,3,4,6]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)=>2
[4,2,6,7,3,5,1]=>[1,2,6,7,3,5,4]=>[.,[.,[[.,[.,.]],[[.,.],.]]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)=>2
[4,2,6,7,5,3,1]=>[1,2,6,7,3,4,5]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)=>2
[4,3,1,2,5,7,6]=>[1,2,5,7,3,4,6]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)=>2
[4,3,1,2,6,7,5]=>[1,2,6,7,3,4,5]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)=>2
[4,3,2,5,7,6,1]=>[1,2,5,7,3,4,6]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)=>2
[4,3,2,6,7,5,1]=>[1,2,6,7,3,4,5]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)=>2
[4,3,5,1,2,6,7]=>[1,2,6,7,3,5,4]=>[.,[.,[[.,[.,.]],[[.,.],.]]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)=>2
[4,3,5,1,7,6,2]=>[1,7,2,3,5,4,6]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)=>2
[4,3,5,2,1,7,6]=>[1,7,2,3,5,4,6]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)=>2
[4,3,5,2,6,7,1]=>[1,2,6,7,3,5,4]=>[.,[.,[[.,[.,.]],[[.,.],.]]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)=>2
[4,3,6,1,2,5,7]=>[1,2,5,7,3,6,4]=>[.,[.,[[.,[.,.]],[[.,.],.]]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)=>2
[4,3,6,1,7,5,2]=>[1,7,2,3,6,4,5]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)=>2
[4,3,6,2,1,7,5]=>[1,7,2,3,6,4,5]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)=>2
[4,3,6,2,5,7,1]=>[1,2,5,7,3,6,4]=>[.,[.,[[.,[.,.]],[[.,.],.]]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)=>2
[4,3,6,5,1,7,2]=>[1,7,2,3,6,4,5]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)=>2
[4,3,6,5,2,1,7]=>[1,7,2,3,6,4,5]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)=>2
[4,3,7,1,2,5,6]=>[1,2,5,6,3,7,4]=>[.,[.,[[.,[.,.]],[[.,.],.]]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)=>2
[4,3,7,1,6,5,2]=>[1,6,2,3,7,4,5]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)=>2
[4,3,7,2,1,6,5]=>[1,6,2,3,7,4,5]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)=>2
[4,3,7,2,5,6,1]=>[1,2,5,6,3,7,4]=>[.,[.,[[.,[.,.]],[[.,.],.]]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)=>2
[4,3,7,5,1,6,2]=>[1,6,2,3,7,4,5]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)=>2
[4,3,7,5,2,1,6]=>[1,6,2,3,7,4,5]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)=>2
[4,3,7,6,1,5,2]=>[1,5,2,3,7,4,6]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)=>2
[4,3,7,6,2,1,5]=>[1,5,2,3,7,4,6]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)=>2
[4,5,1,2,6,7,3]=>[1,2,6,7,3,4,5]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)=>2
[4,5,1,6,2,3,7]=>[1,6,2,3,7,4,5]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)=>2
[4,5,1,6,3,7,2]=>[1,6,2,3,7,4,5]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)=>2
[4,5,1,7,2,3,6]=>[1,7,2,3,6,4,5]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)=>2
[4,5,1,7,3,6,2]=>[1,7,2,3,6,4,5]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)=>2
[4,5,2,1,6,3,7]=>[1,6,2,3,7,4,5]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)=>2
[4,5,2,1,7,3,6]=>[1,7,2,3,6,4,5]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)=>2
[4,5,2,3,6,1,7]=>[1,7,2,3,6,4,5]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)=>2
[4,5,2,3,7,1,6]=>[1,6,2,3,7,4,5]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)=>2
[4,5,2,6,7,3,1]=>[1,2,6,7,3,4,5]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)=>2
[4,5,3,1,2,6,7]=>[1,2,6,7,3,4,5]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)=>2
[4,5,3,2,6,7,1]=>[1,2,6,7,3,4,5]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)=>2
[4,5,3,6,1,7,2]=>[1,7,2,3,6,4,5]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)=>2
[4,5,3,6,2,1,7]=>[1,7,2,3,6,4,5]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)=>2
[4,5,3,7,1,6,2]=>[1,6,2,3,7,4,5]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)=>2
[4,5,3,7,2,1,6]=>[1,6,2,3,7,4,5]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)=>2
[4,6,1,2,5,7,3]=>[1,2,5,7,3,4,6]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)=>2
[4,6,1,5,2,3,7]=>[1,5,2,3,7,4,6]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)=>2
[4,6,1,5,3,7,2]=>[1,5,2,3,7,4,6]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)=>2
[4,6,1,7,2,3,5]=>[1,7,2,3,5,4,6]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)=>2
[4,6,1,7,3,5,2]=>[1,7,2,3,5,4,6]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)=>2
[4,6,2,1,5,3,7]=>[1,5,2,3,7,4,6]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)=>2
[4,6,2,1,7,3,5]=>[1,7,2,3,5,4,6]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)=>2
[4,6,2,3,5,1,7]=>[1,7,2,3,5,4,6]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)=>2
[4,6,2,3,7,1,5]=>[1,5,2,3,7,4,6]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)=>2
[4,6,2,5,7,3,1]=>[1,2,5,7,3,4,6]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)=>2
[4,6,3,1,2,5,7]=>[1,2,5,7,3,4,6]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)=>2
[4,6,3,2,5,7,1]=>[1,2,5,7,3,4,6]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)=>2
[4,6,3,5,1,7,2]=>[1,7,2,3,5,4,6]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)=>2
[4,6,3,5,2,1,7]=>[1,7,2,3,5,4,6]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)=>2
[4,6,3,7,1,5,2]=>[1,5,2,3,7,4,6]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)=>2
[4,6,3,7,2,1,5]=>[1,5,2,3,7,4,6]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)=>2
[4,6,5,7,1,3,2]=>[1,3,2,4,6,5,7]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)=>2
[4,6,5,7,2,1,3]=>[1,3,2,4,6,5,7]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)=>2
[4,7,1,2,5,6,3]=>[1,2,5,6,3,4,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)=>2
[4,7,1,5,2,3,6]=>[1,5,2,3,6,4,7]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)=>2
[4,7,1,5,3,6,2]=>[1,5,2,3,6,4,7]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)=>2
[4,7,1,6,2,3,5]=>[1,6,2,3,5,4,7]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)=>2
[4,7,1,6,3,5,2]=>[1,6,2,3,5,4,7]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)=>2
[4,7,2,1,5,3,6]=>[1,5,2,3,6,4,7]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)=>2
[4,7,2,1,6,3,5]=>[1,6,2,3,5,4,7]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)=>2
[4,7,2,3,5,1,6]=>[1,6,2,3,5,4,7]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)=>2
[4,7,2,3,6,1,5]=>[1,5,2,3,6,4,7]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)=>2
[4,7,2,5,6,3,1]=>[1,2,5,6,3,4,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)=>2
[4,7,3,1,2,5,6]=>[1,2,5,6,3,4,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)=>2
[4,7,3,2,5,6,1]=>[1,2,5,6,3,4,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)=>2
[4,7,3,5,1,6,2]=>[1,6,2,3,5,4,7]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)=>2
[4,7,3,5,2,1,6]=>[1,6,2,3,5,4,7]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)=>2
[4,7,3,6,1,5,2]=>[1,5,2,3,6,4,7]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)=>2
[4,7,3,6,2,1,5]=>[1,5,2,3,6,4,7]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)=>2
[4,7,5,6,1,3,2]=>[1,3,2,4,7,5,6]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)=>2
[4,7,5,6,2,1,3]=>[1,3,2,4,7,5,6]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)=>2
[4,7,6,5,1,3,2]=>[1,3,2,4,7,5,6]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)=>2
[4,7,6,5,2,1,3]=>[1,3,2,4,7,5,6]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)=>2
[5,1,2,4,6,3,7]=>[1,2,4,6,3,7,5]=>[.,[.,[[.,[.,.]],[[.,.],.]]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)=>2
[5,1,2,4,7,3,6]=>[1,2,4,7,3,6,5]=>[.,[.,[[.,[.,.]],[[.,.],.]]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)=>2
[5,1,2,4,7,6,3]=>[1,2,4,7,3,5,6]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)=>2
[5,1,2,6,7,3,4]=>[1,2,6,7,3,4,5]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)=>2
[5,1,2,6,7,4,3]=>[1,2,6,7,3,4,5]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)=>2
[5,1,3,2,4,7,6]=>[1,3,2,4,7,5,6]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)=>2
[5,1,4,2,3,7,6]=>[1,4,2,3,7,5,6]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)=>2
[5,1,4,3,7,6,2]=>[1,4,2,3,7,5,6]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)=>2
[5,1,6,2,3,7,4]=>[1,6,2,3,7,4,5]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)=>2
[5,1,6,3,7,4,2]=>[1,6,2,3,7,4,5]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)=>2
[5,1,6,4,2,3,7]=>[1,6,2,3,7,4,5]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)=>2
[5,1,6,4,3,7,2]=>[1,6,2,3,7,4,5]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)=>2
[5,1,7,2,3,6,4]=>[1,7,2,3,6,4,5]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)=>2
[5,1,7,3,6,4,2]=>[1,7,2,3,6,4,5]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)=>2
[5,1,7,4,2,3,6]=>[1,7,2,3,6,4,5]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)=>2
[5,1,7,4,3,6,2]=>[1,7,2,3,6,4,5]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)=>2
[5,2,1,4,3,7,6]=>[1,4,2,3,7,5,6]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)=>2
[5,2,1,6,3,7,4]=>[1,6,2,3,7,4,5]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)=>2
[5,2,1,6,4,3,7]=>[1,6,2,3,7,4,5]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)=>2
[5,2,1,7,3,6,4]=>[1,7,2,3,6,4,5]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)=>2
[5,2,1,7,4,3,6]=>[1,7,2,3,6,4,5]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)=>2
[5,2,3,6,1,7,4]=>[1,7,2,3,6,4,5]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)=>2
[5,2,3,6,4,1,7]=>[1,7,2,3,6,4,5]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)=>2
[5,2,3,7,1,6,4]=>[1,6,2,3,7,4,5]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)=>2
[5,2,3,7,4,1,6]=>[1,6,2,3,7,4,5]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)=>2
[5,2,3,7,6,1,4]=>[1,4,2,3,7,5,6]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)=>2
[5,2,4,6,3,7,1]=>[1,2,4,6,3,7,5]=>[.,[.,[[.,[.,.]],[[.,.],.]]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)=>2
[5,2,4,7,3,6,1]=>[1,2,4,7,3,6,5]=>[.,[.,[[.,[.,.]],[[.,.],.]]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)=>2
[5,2,4,7,6,1,3]=>[1,3,2,4,7,5,6]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)=>2
[5,2,4,7,6,3,1]=>[1,2,4,7,3,5,6]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)=>2
[5,2,6,7,3,4,1]=>[1,2,6,7,3,4,5]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)=>2
[5,2,6,7,4,3,1]=>[1,2,6,7,3,4,5]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)=>2
[5,3,1,2,4,7,6]=>[1,2,4,7,3,5,6]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)=>2
[5,3,1,2,6,7,4]=>[1,2,6,7,3,4,5]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)=>2
[5,3,2,4,7,6,1]=>[1,2,4,7,3,5,6]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)=>2
[5,3,2,6,7,4,1]=>[1,2,6,7,3,4,5]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)=>2
[5,3,4,1,2,6,7]=>[1,2,6,7,3,4,5]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)=>2
[5,3,4,2,6,7,1]=>[1,2,6,7,3,4,5]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)=>2
[5,3,6,1,2,4,7]=>[1,2,4,7,3,6,5]=>[.,[.,[[.,[.,.]],[[.,.],.]]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)=>2
[5,3,6,1,7,4,2]=>[1,7,2,3,6,4,5]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)=>2
[5,3,6,2,1,7,4]=>[1,7,2,3,6,4,5]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)=>2
[5,3,6,2,4,7,1]=>[1,2,4,7,3,6,5]=>[.,[.,[[.,[.,.]],[[.,.],.]]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)=>2
[5,3,6,4,1,7,2]=>[1,7,2,3,6,4,5]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)=>2
[5,3,6,4,2,1,7]=>[1,7,2,3,6,4,5]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)=>2
[5,3,7,1,2,4,6]=>[1,2,4,6,3,7,5]=>[.,[.,[[.,[.,.]],[[.,.],.]]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)=>2
[5,3,7,1,6,4,2]=>[1,6,2,3,7,4,5]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)=>2
[5,3,7,2,1,6,4]=>[1,6,2,3,7,4,5]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)=>2
[5,3,7,2,4,6,1]=>[1,2,4,6,3,7,5]=>[.,[.,[[.,[.,.]],[[.,.],.]]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)=>2
[5,3,7,4,1,6,2]=>[1,6,2,3,7,4,5]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)=>2
[5,3,7,4,2,1,6]=>[1,6,2,3,7,4,5]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)=>2
[5,3,7,6,1,4,2]=>[1,4,2,3,7,5,6]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)=>2
[5,3,7,6,2,1,4]=>[1,4,2,3,7,5,6]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)=>2
[5,4,1,2,6,7,3]=>[1,2,6,7,3,4,5]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)=>2
[5,4,1,6,2,3,7]=>[1,6,2,3,7,4,5]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)=>2
[5,4,1,6,3,7,2]=>[1,6,2,3,7,4,5]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)=>2
[5,4,1,7,2,3,6]=>[1,7,2,3,6,4,5]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)=>2
[5,4,1,7,3,6,2]=>[1,7,2,3,6,4,5]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)=>2
[5,4,2,1,6,3,7]=>[1,6,2,3,7,4,5]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)=>2
[5,4,2,1,7,3,6]=>[1,7,2,3,6,4,5]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)=>2
[5,4,2,3,6,1,7]=>[1,7,2,3,6,4,5]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)=>2
[5,4,2,3,7,1,6]=>[1,6,2,3,7,4,5]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)=>2
[5,4,2,6,7,3,1]=>[1,2,6,7,3,4,5]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)=>2
[5,4,3,1,2,6,7]=>[1,2,6,7,3,4,5]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)=>2
[5,4,3,2,6,7,1]=>[1,2,6,7,3,4,5]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)=>2
[5,4,3,6,1,7,2]=>[1,7,2,3,6,4,5]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)=>2
[5,4,3,6,2,1,7]=>[1,7,2,3,6,4,5]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)=>2
[5,4,3,7,1,6,2]=>[1,6,2,3,7,4,5]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)=>2
[5,4,3,7,2,1,6]=>[1,6,2,3,7,4,5]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)=>2
[5,4,7,6,1,3,2]=>[1,3,2,4,7,5,6]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)=>2
[5,4,7,6,2,1,3]=>[1,3,2,4,7,5,6]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)=>2
[5,6,1,2,4,7,3]=>[1,2,4,7,3,5,6]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)=>2
[5,6,1,3,2,4,7]=>[1,3,2,4,7,5,6]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)=>2
[5,6,1,4,2,3,7]=>[1,4,2,3,7,5,6]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)=>2
[5,6,1,4,3,7,2]=>[1,4,2,3,7,5,6]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)=>2
[5,6,2,1,4,3,7]=>[1,4,2,3,7,5,6]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)=>2
[5,6,2,3,7,1,4]=>[1,4,2,3,7,5,6]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)=>2
[5,6,2,4,7,1,3]=>[1,3,2,4,7,5,6]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)=>2
[5,6,2,4,7,3,1]=>[1,2,4,7,3,5,6]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)=>2
[5,6,3,1,2,4,7]=>[1,2,4,7,3,5,6]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)=>2
[5,6,3,2,4,7,1]=>[1,2,4,7,3,5,6]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)=>2
[5,6,3,7,1,4,2]=>[1,4,2,3,7,5,6]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)=>2
[5,6,3,7,2,1,4]=>[1,4,2,3,7,5,6]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)=>2
[5,6,4,7,1,3,2]=>[1,3,2,4,7,5,6]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)=>2
[5,6,4,7,2,1,3]=>[1,3,2,4,7,5,6]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)=>2
[5,7,1,2,4,6,3]=>[1,2,4,6,3,5,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)=>2
[5,7,1,3,2,4,6]=>[1,3,2,4,6,5,7]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)=>2
[5,7,1,4,2,3,6]=>[1,4,2,3,6,5,7]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)=>2
[5,7,1,4,3,6,2]=>[1,4,2,3,6,5,7]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)=>2
[5,7,2,1,4,3,6]=>[1,4,2,3,6,5,7]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)=>2
[5,7,2,3,6,1,4]=>[1,4,2,3,6,5,7]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)=>2
[5,7,2,4,6,1,3]=>[1,3,2,4,6,5,7]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)=>2
[5,7,2,4,6,3,1]=>[1,2,4,6,3,5,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)=>2
[5,7,3,1,2,4,6]=>[1,2,4,6,3,5,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)=>2
[5,7,3,2,4,6,1]=>[1,2,4,6,3,5,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)=>2
[5,7,3,6,1,4,2]=>[1,4,2,3,6,5,7]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)=>2
[5,7,3,6,2,1,4]=>[1,4,2,3,6,5,7]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)=>2
[5,7,4,6,1,3,2]=>[1,3,2,4,6,5,7]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)=>2
[5,7,4,6,2,1,3]=>[1,3,2,4,6,5,7]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)=>2
[6,1,2,4,5,3,7]=>[1,2,4,5,3,7,6]=>[.,[.,[[.,[.,.]],[[.,.],.]]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)=>2
[6,1,2,4,7,3,5]=>[1,2,4,7,3,5,6]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)=>2
[6,1,2,4,7,5,3]=>[1,2,4,7,3,5,6]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)=>2
[6,1,2,5,7,3,4]=>[1,2,5,7,3,4,6]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)=>2
[6,1,2,5,7,4,3]=>[1,2,5,7,3,4,6]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)=>2
[6,1,3,2,4,7,5]=>[1,3,2,4,7,5,6]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)=>2
[6,1,4,2,3,7,5]=>[1,4,2,3,7,5,6]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)=>2
[6,1,4,3,7,5,2]=>[1,4,2,3,7,5,6]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)=>2
[6,1,5,2,3,7,4]=>[1,5,2,3,7,4,6]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)=>2
[6,1,5,3,7,4,2]=>[1,5,2,3,7,4,6]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)=>2
[6,1,5,4,2,3,7]=>[1,5,2,3,7,4,6]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)=>2
[6,1,5,4,3,7,2]=>[1,5,2,3,7,4,6]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)=>2
[6,1,7,2,3,5,4]=>[1,7,2,3,5,4,6]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)=>2
[6,1,7,3,5,4,2]=>[1,7,2,3,5,4,6]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)=>2
[6,1,7,4,2,3,5]=>[1,7,2,3,5,4,6]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)=>2
[6,1,7,4,3,5,2]=>[1,7,2,3,5,4,6]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)=>2
[6,2,1,4,3,7,5]=>[1,4,2,3,7,5,6]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)=>2
[6,2,1,5,3,7,4]=>[1,5,2,3,7,4,6]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)=>2
[6,2,1,5,4,3,7]=>[1,5,2,3,7,4,6]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)=>2
[6,2,1,7,3,5,4]=>[1,7,2,3,5,4,6]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)=>2
[6,2,1,7,4,3,5]=>[1,7,2,3,5,4,6]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)=>2
[6,2,3,5,1,7,4]=>[1,7,2,3,5,4,6]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)=>2
[6,2,3,5,4,1,7]=>[1,7,2,3,5,4,6]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)=>2
[6,2,3,7,1,5,4]=>[1,5,2,3,7,4,6]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)=>2
[6,2,3,7,4,1,5]=>[1,5,2,3,7,4,6]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)=>2
[6,2,3,7,5,1,4]=>[1,4,2,3,7,5,6]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)=>2
[6,2,4,5,3,7,1]=>[1,2,4,5,3,7,6]=>[.,[.,[[.,[.,.]],[[.,.],.]]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)=>2
[6,2,4,7,3,5,1]=>[1,2,4,7,3,5,6]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)=>2
[6,2,4,7,5,1,3]=>[1,3,2,4,7,5,6]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)=>2
[6,2,4,7,5,3,1]=>[1,2,4,7,3,5,6]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)=>2
[6,2,5,7,3,4,1]=>[1,2,5,7,3,4,6]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)=>2
[6,2,5,7,4,3,1]=>[1,2,5,7,3,4,6]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)=>2
[6,3,1,2,4,7,5]=>[1,2,4,7,3,5,6]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)=>2
[6,3,1,2,5,7,4]=>[1,2,5,7,3,4,6]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)=>2
[6,3,2,4,7,5,1]=>[1,2,4,7,3,5,6]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)=>2
[6,3,2,5,7,4,1]=>[1,2,5,7,3,4,6]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)=>2
[6,3,4,1,2,5,7]=>[1,2,5,7,3,4,6]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)=>2
[6,3,4,2,5,7,1]=>[1,2,5,7,3,4,6]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)=>2
[6,3,5,1,2,4,7]=>[1,2,4,7,3,5,6]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)=>2
[6,3,5,1,7,4,2]=>[1,7,2,3,5,4,6]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)=>2
[6,3,5,2,1,7,4]=>[1,7,2,3,5,4,6]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)=>2
[6,3,5,2,4,7,1]=>[1,2,4,7,3,5,6]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)=>2
[6,3,5,4,1,7,2]=>[1,7,2,3,5,4,6]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)=>2
[6,3,5,4,2,1,7]=>[1,7,2,3,5,4,6]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)=>2
[6,3,7,1,2,4,5]=>[1,2,4,5,3,7,6]=>[.,[.,[[.,[.,.]],[[.,.],.]]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)=>2
[6,3,7,1,5,4,2]=>[1,5,2,3,7,4,6]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)=>2
[6,3,7,2,1,5,4]=>[1,5,2,3,7,4,6]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)=>2
[6,3,7,2,4,5,1]=>[1,2,4,5,3,7,6]=>[.,[.,[[.,[.,.]],[[.,.],.]]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)=>2
[6,3,7,4,1,5,2]=>[1,5,2,3,7,4,6]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)=>2
[6,3,7,4,2,1,5]=>[1,5,2,3,7,4,6]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)=>2
[6,3,7,5,1,4,2]=>[1,4,2,3,7,5,6]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)=>2
[6,3,7,5,2,1,4]=>[1,4,2,3,7,5,6]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)=>2
[6,4,1,2,5,7,3]=>[1,2,5,7,3,4,6]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)=>2
[6,4,1,5,2,3,7]=>[1,5,2,3,7,4,6]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)=>2
[6,4,1,5,3,7,2]=>[1,5,2,3,7,4,6]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)=>2
[6,4,1,7,2,3,5]=>[1,7,2,3,5,4,6]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)=>2
[6,4,1,7,3,5,2]=>[1,7,2,3,5,4,6]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)=>2
[6,4,2,1,5,3,7]=>[1,5,2,3,7,4,6]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)=>2
[6,4,2,1,7,3,5]=>[1,7,2,3,5,4,6]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)=>2
[6,4,2,3,5,1,7]=>[1,7,2,3,5,4,6]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)=>2
[6,4,2,3,7,1,5]=>[1,5,2,3,7,4,6]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)=>2
[6,4,2,5,7,3,1]=>[1,2,5,7,3,4,6]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)=>2
[6,4,3,1,2,5,7]=>[1,2,5,7,3,4,6]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)=>2
[6,4,3,2,5,7,1]=>[1,2,5,7,3,4,6]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)=>2
[6,4,3,5,1,7,2]=>[1,7,2,3,5,4,6]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)=>2
[6,4,3,5,2,1,7]=>[1,7,2,3,5,4,6]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)=>2
[6,4,3,7,1,5,2]=>[1,5,2,3,7,4,6]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)=>2
[6,4,3,7,2,1,5]=>[1,5,2,3,7,4,6]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)=>2
[6,4,7,5,1,3,2]=>[1,3,2,4,7,5,6]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)=>2
[6,4,7,5,2,1,3]=>[1,3,2,4,7,5,6]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)=>2
[6,5,1,2,4,7,3]=>[1,2,4,7,3,5,6]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)=>2
[6,5,1,3,2,4,7]=>[1,3,2,4,7,5,6]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)=>2
[6,5,1,4,2,3,7]=>[1,4,2,3,7,5,6]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)=>2
[6,5,1,4,3,7,2]=>[1,4,2,3,7,5,6]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)=>2
[6,5,2,1,4,3,7]=>[1,4,2,3,7,5,6]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)=>2
[6,5,2,3,7,1,4]=>[1,4,2,3,7,5,6]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)=>2
[6,5,2,4,7,1,3]=>[1,3,2,4,7,5,6]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)=>2
[6,5,2,4,7,3,1]=>[1,2,4,7,3,5,6]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)=>2
[6,5,3,1,2,4,7]=>[1,2,4,7,3,5,6]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)=>2
[6,5,3,2,4,7,1]=>[1,2,4,7,3,5,6]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)=>2
[6,5,3,7,1,4,2]=>[1,4,2,3,7,5,6]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)=>2
[6,5,3,7,2,1,4]=>[1,4,2,3,7,5,6]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)=>2
[6,5,4,7,1,3,2]=>[1,3,2,4,7,5,6]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)=>2
[6,5,4,7,2,1,3]=>[1,3,2,4,7,5,6]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)=>2
[6,7,1,2,4,5,3]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)=>2
[6,7,2,4,5,3,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)=>2
[6,7,3,1,2,4,5]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)=>2
[6,7,3,2,4,5,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)=>2
[7,1,2,4,5,3,6]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)=>2
[7,1,2,4,6,3,5]=>[1,2,4,6,3,5,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)=>2
[7,1,2,4,6,5,3]=>[1,2,4,6,3,5,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)=>2
[7,1,2,5,6,3,4]=>[1,2,5,6,3,4,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)=>2
[7,1,2,5,6,4,3]=>[1,2,5,6,3,4,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)=>2
[7,1,3,2,4,6,5]=>[1,3,2,4,6,5,7]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)=>2
[7,1,4,2,3,6,5]=>[1,4,2,3,6,5,7]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)=>2
[7,1,4,3,6,5,2]=>[1,4,2,3,6,5,7]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)=>2
[7,1,5,2,3,6,4]=>[1,5,2,3,6,4,7]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)=>2
[7,1,5,3,6,4,2]=>[1,5,2,3,6,4,7]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)=>2
[7,1,5,4,2,3,6]=>[1,5,2,3,6,4,7]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)=>2
[7,1,5,4,3,6,2]=>[1,5,2,3,6,4,7]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)=>2
[7,1,6,2,3,5,4]=>[1,6,2,3,5,4,7]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)=>2
[7,1,6,3,5,4,2]=>[1,6,2,3,5,4,7]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)=>2
[7,1,6,4,2,3,5]=>[1,6,2,3,5,4,7]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)=>2
[7,1,6,4,3,5,2]=>[1,6,2,3,5,4,7]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)=>2
[7,2,1,4,3,6,5]=>[1,4,2,3,6,5,7]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)=>2
[7,2,1,5,3,6,4]=>[1,5,2,3,6,4,7]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)=>2
[7,2,1,5,4,3,6]=>[1,5,2,3,6,4,7]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)=>2
[7,2,1,6,3,5,4]=>[1,6,2,3,5,4,7]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)=>2
[7,2,1,6,4,3,5]=>[1,6,2,3,5,4,7]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)=>2
[7,2,3,5,1,6,4]=>[1,6,2,3,5,4,7]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)=>2
[7,2,3,5,4,1,6]=>[1,6,2,3,5,4,7]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)=>2
[7,2,3,6,1,5,4]=>[1,5,2,3,6,4,7]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)=>2
[7,2,3,6,4,1,5]=>[1,5,2,3,6,4,7]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)=>2
[7,2,3,6,5,1,4]=>[1,4,2,3,6,5,7]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)=>2
[7,2,4,5,3,6,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)=>2
[7,2,4,6,3,5,1]=>[1,2,4,6,3,5,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)=>2
[7,2,4,6,5,1,3]=>[1,3,2,4,6,5,7]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)=>2
[7,2,4,6,5,3,1]=>[1,2,4,6,3,5,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)=>2
[7,2,5,6,3,4,1]=>[1,2,5,6,3,4,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)=>2
[7,2,5,6,4,3,1]=>[1,2,5,6,3,4,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)=>2
[7,3,1,2,4,6,5]=>[1,2,4,6,3,5,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)=>2
[7,3,1,2,5,6,4]=>[1,2,5,6,3,4,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)=>2
[7,3,2,4,6,5,1]=>[1,2,4,6,3,5,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)=>2
[7,3,2,5,6,4,1]=>[1,2,5,6,3,4,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)=>2
[7,3,4,1,2,5,6]=>[1,2,5,6,3,4,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)=>2
[7,3,4,2,5,6,1]=>[1,2,5,6,3,4,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)=>2
[7,3,5,1,2,4,6]=>[1,2,4,6,3,5,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)=>2
[7,3,5,1,6,4,2]=>[1,6,2,3,5,4,7]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)=>2
[7,3,5,2,1,6,4]=>[1,6,2,3,5,4,7]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)=>2
[7,3,5,2,4,6,1]=>[1,2,4,6,3,5,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)=>2
[7,3,5,4,1,6,2]=>[1,6,2,3,5,4,7]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)=>2
[7,3,5,4,2,1,6]=>[1,6,2,3,5,4,7]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)=>2
[7,3,6,1,2,4,5]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)=>2
[7,3,6,1,5,4,2]=>[1,5,2,3,6,4,7]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)=>2
[7,3,6,2,1,5,4]=>[1,5,2,3,6,4,7]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)=>2
[7,3,6,2,4,5,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)=>2
[7,3,6,4,1,5,2]=>[1,5,2,3,6,4,7]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)=>2
[7,3,6,4,2,1,5]=>[1,5,2,3,6,4,7]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)=>2
[7,3,6,5,1,4,2]=>[1,4,2,3,6,5,7]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)=>2
[7,3,6,5,2,1,4]=>[1,4,2,3,6,5,7]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)=>2
[7,4,1,2,5,6,3]=>[1,2,5,6,3,4,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)=>2
[7,4,1,5,2,3,6]=>[1,5,2,3,6,4,7]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)=>2
[7,4,1,5,3,6,2]=>[1,5,2,3,6,4,7]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)=>2
[7,4,1,6,2,3,5]=>[1,6,2,3,5,4,7]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)=>2
[7,4,1,6,3,5,2]=>[1,6,2,3,5,4,7]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)=>2
[7,4,2,1,5,3,6]=>[1,5,2,3,6,4,7]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)=>2
[7,4,2,1,6,3,5]=>[1,6,2,3,5,4,7]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)=>2
[7,4,2,3,5,1,6]=>[1,6,2,3,5,4,7]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)=>2
[7,4,2,3,6,1,5]=>[1,5,2,3,6,4,7]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)=>2
[7,4,2,5,6,3,1]=>[1,2,5,6,3,4,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)=>2
[7,4,3,1,2,5,6]=>[1,2,5,6,3,4,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)=>2
[7,4,3,2,5,6,1]=>[1,2,5,6,3,4,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)=>2
[7,4,3,5,1,6,2]=>[1,6,2,3,5,4,7]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)=>2
[7,4,3,5,2,1,6]=>[1,6,2,3,5,4,7]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)=>2
[7,4,3,6,1,5,2]=>[1,5,2,3,6,4,7]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)=>2
[7,4,3,6,2,1,5]=>[1,5,2,3,6,4,7]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)=>2
[7,4,6,5,1,3,2]=>[1,3,2,4,6,5,7]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)=>2
[7,4,6,5,2,1,3]=>[1,3,2,4,6,5,7]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)=>2
[7,5,1,2,4,6,3]=>[1,2,4,6,3,5,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)=>2
[7,5,1,3,2,4,6]=>[1,3,2,4,6,5,7]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)=>2
[7,5,1,4,2,3,6]=>[1,4,2,3,6,5,7]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)=>2
[7,5,1,4,3,6,2]=>[1,4,2,3,6,5,7]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)=>2
[7,5,2,1,4,3,6]=>[1,4,2,3,6,5,7]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)=>2
[7,5,2,3,6,1,4]=>[1,4,2,3,6,5,7]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)=>2
[7,5,2,4,6,1,3]=>[1,3,2,4,6,5,7]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)=>2
[7,5,2,4,6,3,1]=>[1,2,4,6,3,5,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)=>2
[7,5,3,1,2,4,6]=>[1,2,4,6,3,5,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)=>2
[7,5,3,2,4,6,1]=>[1,2,4,6,3,5,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)=>2
[7,5,3,6,1,4,2]=>[1,4,2,3,6,5,7]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)=>2
[7,5,3,6,2,1,4]=>[1,4,2,3,6,5,7]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)=>2
[7,5,4,6,1,3,2]=>[1,3,2,4,6,5,7]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)=>2
[7,5,4,6,2,1,3]=>[1,3,2,4,6,5,7]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]=>([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)=>2
[7,6,1,2,4,5,3]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)=>2
[7,6,2,4,5,3,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)=>2
[7,6,3,1,2,4,5]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)=>2
[7,6,3,2,4,5,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]=>([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)=>2
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Description
The largest eigenvalue of a graph if it is integral.
If a graph is $d$-regular, then its largest eigenvalue equals $d$. One can show that the largest eigenvalue always lies between the average degree and the maximal degree.
This statistic is undefined if the largest eigenvalue of the graph is not integral.
If a graph is $d$-regular, then its largest eigenvalue equals $d$. One can show that the largest eigenvalue always lies between the average degree and the maximal degree.
This statistic is undefined if the largest eigenvalue of the graph is not integral.
Map
runsort
Description
The permutation obtained by sorting the increasing runs lexicographically.
Map
to increasing tree
Description
Sends a permutation to its associated increasing tree.
This tree is recursively obtained by sending the unique permutation of length $0$ to the empty tree, and sending a permutation $\sigma$ of length $n \geq 1$ to a root node with two subtrees $L$ and $R$ by splitting $\sigma$ at the index $\sigma^{-1}(1)$, normalizing both sides again to permutations and sending the permutations on the left and on the right of $\sigma^{-1}(1)$ to the trees $L$ and $R$, respectively.
This tree is recursively obtained by sending the unique permutation of length $0$ to the empty tree, and sending a permutation $\sigma$ of length $n \geq 1$ to a root node with two subtrees $L$ and $R$ by splitting $\sigma$ at the index $\sigma^{-1}(1)$, normalizing both sides again to permutations and sending the permutations on the left and on the right of $\sigma^{-1}(1)$ to the trees $L$ and $R$, respectively.
Map
to graph
Description
Return the undirected graph obtained from the tree nodes and edges, with leaves being ignored.
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